TSTP Solution File: SWV909-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV909-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 21:45:34 EDT 2022
% Result : Timeout 299.97s 300.56s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV909-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.13 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 15 20:10:54 EDT 2022
% 0.14/0.35 % CPUTime :
% 299.97/300.56
% 299.97/300.56 SPASS V 3.9
% 299.97/300.56 SPASS beiseite: Ran out of time.
% 299.97/300.56 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 299.97/300.56 SPASS derived 93054 clauses, backtracked 1 clauses, performed 5 splits and kept 29574 clauses.
% 299.97/300.56 SPASS allocated 204325 KBytes.
% 299.97/300.56 SPASS spent 0:05:00.21 on the problem.
% 299.97/300.56 0:00:00.06 for the input.
% 299.97/300.56 0:00:00.00 for the FLOTTER CNF translation.
% 299.97/300.56 0:00:02.75 for inferences.
% 299.97/300.56 0:00:00.00 for the backtracking.
% 299.97/300.56 0:4:54.82 for the reduction.
% 299.97/300.56
% 299.97/300.56
% 299.97/300.56 The set of clauses at termination is :
% 299.97/300.56 8980[0:SpR:8938.0,1119.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool))**.
% 299.97/300.56 8979[0:SpR:8938.0,1091.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))**.
% 299.97/300.56 5845[0:Obv:5830.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,hAPP(c_fequal(u),w),u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)).
% 299.97/300.56 8823[0:SpR:8783.0,4013.0] || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool))),c_False))*.
% 299.97/300.56 8807[0:SpR:8783.0,1119.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool))**.
% 299.97/300.56 114594[5:SpL:61329.1,114571.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_False)** -> .
% 299.97/300.56 114593[5:SpL:29195.1,114571.0] || equal(c_False,u) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),c_False)** -> .
% 299.97/300.56 5769[0:Obv:5755.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,hAPP(c_fequal(u),w),u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v)).
% 299.97/300.56 114592[5:SpL:29743.1,114571.0] || equal(c_False,u) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),c_False)** -> .
% 299.97/300.56 114579[5:AED:250.0,114578.2] || hBOOL(u) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_False)** -> .
% 299.97/300.56 114569[5:AED:250.0,114568.1] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),c_False)** -> .
% 299.97/300.56 114567[5:AED:250.0,114566.1] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),c_False)** -> .
% 299.97/300.56 5564[0:Rew:167.1,5544.2] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),v)**.
% 299.97/300.56 114573[5:AED:250.0,114572.1] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),c_False)** -> .
% 299.97/300.56 114571[5:AED:250.0,114570.1] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),c_False)** -> .
% 299.97/300.56 114541[5:Spt:113622.0,113622.1] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_False)** -> equal(u,c_False).
% 299.97/300.56 5562[0:Rew:167.1,5542.2] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),v)**.
% 299.97/300.56 5396[0:Rew:342.1,5383.2] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),v)**.
% 299.97/300.56 8806[0:SpR:8783.0,1091.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))**.
% 299.97/300.56 111237[0:SpR:13733.1,111153.0] || -> equal(u,c_False) c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.56 5393[0:Rew:342.1,5362.2] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),v)**.
% 299.97/300.56 111236[2:SpR:50422.1,111153.0] || hBOOL(u) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.56 111186[0:SpR:13733.1,111152.0] || -> equal(u,c_False) c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.56 111185[2:SpR:50422.1,111152.0] || hBOOL(u) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.56 1887[0:SpR:3.1,248.0] class_Lattices_Olattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.56 1784[0:SpR:11.1,248.0] class_Lattices_Olattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.56 110045[0:SpR:79862.1,24543.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)**+ -> equal(hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),v),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.56 102170[2:Res:101838.0,53092.0] || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_fequal(t_a),v_x),v_x),u),v)),c_False)** -> .
% 299.97/300.56 101826[0:Res:495.1,101661.0] class_Orderings_Opreorder(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x))))*.
% 299.97/300.56 1415[0:SpR:367.1,248.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.56 101825[0:Res:494.1,101661.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x))))*.
% 299.97/300.56 101824[0:Res:1279.1,101661.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x))))*.
% 299.97/300.56 101823[0:Res:1319.1,101661.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x))))*.
% 299.97/300.56 101822[0:Res:1811.1,101661.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x))))*.
% 299.97/300.56 1412[0:SpR:691.0,248.0] || -> hBOOL(c_in(c_COMBK(c_False,tc_bool,u),hAPP(c_Set_Oimage(c_Set_Oimage(v,w,u),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.56 101821[0:Res:2901.1,101661.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x))))*.
% 299.97/300.56 101820[0:Res:87746.1,101661.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x))))*.
% 299.97/300.56 112517[0:Res:4138.1,112507.1] || equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)))** equal(c_False,u) -> .
% 299.97/300.56 112514[0:Res:4138.1,112506.1] || equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)))** equal(c_False,v_x) -> .
% 299.97/300.56 1404[0:SpR:19.1,248.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.56 112507[0:MRR:112469.2,37478.2] || equal(c_False,u) hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),t_a))* -> .
% 299.97/300.56 112506[0:MRR:112476.2,37477.2] || equal(c_False,v_x) hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),t_a))* -> .
% 299.97/300.56 99791[0:SpL:418.1,99543.0] || hBOOL(c_in(v_x,u,t_a)) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(u,v_x)))* -> .
% 299.97/300.56 112353[4:Res:112350.0,53092.0] || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_False)** -> .
% 299.97/300.56 1394[0:SpR:50.1,248.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.56 112350[4:Spt:87647.2] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OSup__class_OSup(tc_bool)))*.
% 299.97/300.56 1393[0:SpR:255.1,248.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.56 941[0:SpR:678.0,35.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),u,c_COMBK(c_False,tc_bool,v),w,x),c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)))**.
% 299.97/300.56 938[0:SpR:677.0,35.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v),u,w,x),c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)))**.
% 299.97/300.56 112005[0:SpR:9732.0,111157.0] || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.56 112004[0:SpR:9735.0,111157.0] || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.56 112007[0:SpR:8856.0,111157.0] || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.56 87818[0:MRR:14971.2,87746.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v)),w))*.
% 299.97/300.56 112006[0:SpR:9030.0,111157.0] || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.56 111716[0:SpR:9732.0,111110.0] || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.56 111715[0:SpR:9735.0,111110.0] || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.56 87817[0:MRR:14974.2,87746.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v)),w))*.
% 299.97/300.56 111718[0:SpR:8856.0,111110.0] || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.56 111717[0:SpR:9030.0,111110.0] || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.56 111228[0:SpR:9732.0,111153.0] || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.56 87806[0:MRR:15020.2,87746.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.56 111227[0:SpR:9735.0,111153.0] || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.56 111177[0:SpR:9732.0,111152.0] || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.56 111176[0:SpR:9735.0,111152.0] || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.56 111230[0:SpR:8856.0,111153.0] || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.56 87803[0:MRR:15042.2,87746.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.56 111229[0:SpR:9030.0,111153.0] || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.56 111179[0:SpR:8856.0,111152.0] || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.56 111178[0:SpR:9030.0,111152.0] || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.56 80847[0:MRR:80846.2,666.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_fequal(u),w)))* hBOOL(c_in(w,v,u)) -> .
% 299.97/300.56 80306[0:Res:659.0,79861.0] || equal(hAPP(c_fequal(u),c_False),c_False)** -> equal(hAPP(c_fequal(u),c_False),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.56 43530[0:MRR:43525.1,6019.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* hBOOL(c_in(x,v,u))*.
% 299.97/300.56 110040[0:SpR:79862.1,13517.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)**+ -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),c_False)**.
% 299.97/300.56 110095[0:SpR:79862.1,1373.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),c_False) -> c_Hoare__Mirabelle_Ohoare__derivs(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),v,u)*.
% 299.97/300.56 110370[2:Res:110363.1,49440.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) equal(c_in(v,c_False,u),c_False)** -> .
% 299.97/300.56 42995[0:Rew:708.0,42966.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(u),v),tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.56 19101[0:Res:184.2,12.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),v))* -> .
% 299.97/300.56 110374[0:Res:110363.1,1152.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) equal(c_COMBK(c_False,tc_bool,u),c_False)** -> .
% 299.97/300.56 110371[2:Res:110363.1,49352.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)**+ equal(hAPP(c_False,v),c_False)** -> .
% 299.97/300.56 110375[0:Res:110363.1,252.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)**+ -> hBOOL(hAPP(c_False,v))*.
% 299.97/300.56 19100[0:Res:184.2,13.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),v))* -> .
% 299.97/300.56 110363[0:MRR:110347.0,3100.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(c_in(v,c_False,u))*.
% 299.97/300.56 110057[0:SpR:79862.1,422.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(c_in(v,c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),u))*.
% 299.97/300.56 110039[0:SpR:79862.1,4246.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)**+ -> hBOOL(c_in(c_False,c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),v))*.
% 299.97/300.56 110192[2:Obv:110157.0] || hBOOL(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))* equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)**+ -> .
% 299.97/300.56 19099[0:Res:184.2,14.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),v))* -> .
% 299.97/300.56 79862[0:Obv:79794.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))*.
% 299.97/300.56 75663[0:SSi:75662.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)).
% 299.97/300.56 75635[2:Res:75602.1,53092.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))) equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u),c_False)** -> .
% 299.97/300.56 107034[0:SpL:106423.0,4380.1] || hBOOL(u) equal(c_COMBK(u,v,w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_fun(y,tc_bool)))* -> .
% 299.97/300.56 18887[0:Res:185.2,12.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),w))* -> .
% 299.97/300.56 106741[0:SpR:5228.0,657.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x),c_False)**.
% 299.97/300.56 106352[0:SpL:106169.0,4380.1] || hBOOL(u) equal(c_COMBK(u,v,w),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_fun(y,tc_bool)))* -> .
% 299.97/300.56 107016[0:SpL:106423.0,673.0] || hBOOL(hAPP(c_Finite__Set_Ofold1Set(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)),tc_fun(w,tc_bool)),x))* -> .
% 299.97/300.56 106739[0:SpR:5228.0,106389.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),tc_bool),c_False)**.
% 299.97/300.56 18886[0:Res:185.2,13.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),w))* -> .
% 299.97/300.56 106334[0:SpL:106169.0,673.0] || hBOOL(hAPP(c_Finite__Set_Ofold1Set(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)),tc_fun(w,tc_bool)),x))* -> .
% 299.97/300.56 107031[0:SpL:106423.0,86616.1] || hBOOL(u) equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.56 106349[0:SpL:106169.0,86616.1] || hBOOL(u) equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.56 108272[0:SpL:59886.0,107999.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))))* -> .
% 299.97/300.56 18885[0:Res:185.2,14.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),w))* -> .
% 299.97/300.56 108008[0:SSi:107971.1,107971.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))),u))* -> .
% 299.97/300.56 106961[0:SpR:106423.0,664.0] || -> c_Finite__Set_Ofold__graph(u,v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(x,tc_bool)),v,tc_fun(x,tc_bool),y)*.
% 299.97/300.56 106960[0:SpR:106423.0,663.0] || -> c_Nitpick_Ofold__graph_H(u,v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(x,tc_bool)),v,tc_fun(x,tc_bool),y)*.
% 299.97/300.56 106278[0:SpR:106169.0,664.0] || -> c_Finite__Set_Ofold__graph(u,v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_fun(x,tc_bool)),v,tc_fun(x,tc_bool),y)*.
% 299.97/300.56 18168[0:Res:1.2,12.1] class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)))* -> .
% 299.97/300.56 106277[0:SpR:106169.0,663.0] || -> c_Nitpick_Ofold__graph_H(u,v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_fun(x,tc_bool)),v,tc_fun(x,tc_bool),y)*.
% 299.97/300.56 107032[0:SpL:106423.0,694.1] || hBOOL(hAPP(u,v))* equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(x,tc_bool)))*+ -> .
% 299.97/300.56 107017[0:SpL:106423.0,84930.0] || equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)))*+ -> c_Finite__Set_Ofinite(u,tc_fun(w,tc_bool))*.
% 299.97/300.56 106350[0:SpL:106169.0,694.1] || hBOOL(hAPP(u,v))* equal(u,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_fun(x,tc_bool)))*+ -> .
% 299.97/300.56 18167[0:Res:1.2,13.1] class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)))* -> .
% 299.97/300.56 106335[0:SpL:106169.0,84930.0] || equal(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)))*+ -> c_Finite__Set_Ofinite(u,tc_fun(w,tc_bool))*.
% 299.97/300.56 107006[0:SpL:106423.0,7297.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(v,tc_bool),tc_bool)))** -> .
% 299.97/300.56 108273[0:SpL:65131.0,107999.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))))* -> .
% 299.97/300.56 108004[0:SSi:107972.1,107972.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),u))* -> .
% 299.97/300.56 18166[0:Res:1.2,14.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)))* -> .
% 299.97/300.56 108271[0:SpL:65071.0,107999.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u))))* -> .
% 299.97/300.56 108005[0:SSi:107970.1,107970.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u))),u))* -> .
% 299.97/300.56 108270[0:SpL:54837.0,107999.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)))* -> .
% 299.97/300.56 108269[0:SpL:54070.0,107999.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)))* -> .
% 299.97/300.56 17814[0:Res:2.2,12.1] class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)))* -> .
% 299.97/300.56 108000[0:SSi:107969.1,107969.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),u))* -> .
% 299.97/300.56 108230[0:SpL:956.0,107999.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),u))* -> .
% 299.97/300.56 107999[0:SSi:107968.1,107968.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),v))* -> .
% 299.97/300.56 107997[0:SSi:107947.1,107947.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),u))* -> .
% 299.97/300.56 17813[0:Res:2.2,13.1] class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)))* -> .
% 299.97/300.56 107991[0:MRR:35958.2,107990.0] || equal(c_False,u) -> equal(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(tc_bool),u)),u)**.
% 299.97/300.56 108003[0:AED:250.0,107992.2] class_OrderedGroup_Opordered__ab__group__add(tc_bool) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v))* -> .
% 299.97/300.56 107994[0:SSi:107937.1,107937.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))* -> .
% 299.97/300.56 107990[0:SSi:107933.1,107933.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_False))* -> .
% 299.97/300.56 17812[0:Res:2.2,14.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)))* -> .
% 299.97/300.56 106324[0:SpL:106169.0,7297.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(v,tc_bool),tc_bool)))** -> .
% 299.97/300.56 106154[0:Res:4138.1,106143.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)),c_Complete__Lattice_OInf__class_OInf(tc_bool)) hBOOL(c_in(c_False,v_x,tc_bool))* -> .
% 299.97/300.56 106964[0:SpR:106423.0,106423.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(v,tc_bool)))*.
% 299.97/300.56 106963[0:SpR:106423.0,106169.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(v,tc_bool)))*.
% 299.97/300.56 15248[0:Res:465.1,446.1] class_Orderings_Otop(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> equal(v,c_Orderings_Otop__class_Otop(u)).
% 299.97/300.56 106280[0:SpR:106169.0,106169.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_fun(v,tc_bool)))*.
% 299.97/300.56 107015[0:SpL:106423.0,666.0] || hBOOL(c_in(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)),tc_fun(w,tc_bool)))* -> .
% 299.97/300.56 106333[0:SpL:106169.0,666.0] || hBOOL(c_in(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)),tc_fun(w,tc_bool)))* -> .
% 299.97/300.56 107007[0:SpL:106423.0,13617.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)))** -> .
% 299.97/300.56 15236[0:Res:368.1,446.1] class_Orderings_Obot(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> equal(c_Orderings_Obot__class_Obot(u),v).
% 299.97/300.56 106951[0:SpR:106423.0,665.0] || -> c_Fun_Oinj__on(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)),tc_fun(w,tc_bool),x)*.
% 299.97/300.56 107019[0:SpL:106423.0,4286.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.56 107038[0:SpL:106423.0,106566.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)))** -> .
% 299.97/300.56 107009[0:SpL:106423.0,82113.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))** -> .
% 299.97/300.56 5850[0:SSi:5836.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool))) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),v),u,w)*.
% 299.97/300.56 107002[0:SpL:106423.0,4283.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),hAPP(c_lessequals(tc_bool),c_False))** -> .
% 299.97/300.56 107037[0:SpL:106423.0,106554.0] || hBOOL(c_in(v_x,c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),t_a))* -> .
% 299.97/300.56 106967[0:SpR:106423.0,657.0] || -> equal(hAPP(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),w),c_False)**.
% 299.97/300.56 106927[0:SpR:106423.0,669.0] || -> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),tc_fun(v,tc_bool))*.
% 299.97/300.56 5774[0:SSi:5762.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool))) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),v),w)*.
% 299.97/300.56 106965[0:SpR:106423.0,106389.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),tc_bool),c_False)**.
% 299.97/300.56 106423[0:SpR:677.0,8944.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))*.
% 299.97/300.56 106325[0:SpL:106169.0,13617.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)))** -> .
% 299.97/300.56 106268[0:SpR:106169.0,665.0] || -> c_Fun_Oinj__on(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)),tc_fun(w,tc_bool),x)*.
% 299.97/300.56 5228[0:SSi:5224.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))* c_Hoare__Mirabelle_Ohoare__derivs(v,u,w).
% 299.97/300.56 106337[0:SpL:106169.0,4286.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.56 106560[0:Res:4138.1,106544.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)))** -> .
% 299.97/300.56 106327[0:SpL:106169.0,82113.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))** -> .
% 299.97/300.56 106320[0:SpL:106169.0,4283.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),hAPP(c_lessequals(tc_bool),c_False))** -> .
% 299.97/300.56 5096[0:Res:26.1,496.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))*+ hBOOL(hAPP(v,x))* -> hBOOL(hAPP(w,x))*.
% 299.97/300.56 106566[0:Res:4138.1,106554.0] || equal(c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)))** -> .
% 299.97/300.56 106554[0:SpL:5137.0,106544.0] || hBOOL(c_in(v_x,c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)),t_a))* -> .
% 299.97/300.56 106544[0:MRR:106528.1,106541.1] || hBOOL(c_in(v_x,c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),t_a))* -> .
% 299.97/300.56 106281[0:SpR:106169.0,657.0] || -> equal(hAPP(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),w),c_False)**.
% 299.97/300.56 8944[0:SSi:8904.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))**.
% 299.97/300.56 106244[0:SpR:106169.0,669.0] || -> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),tc_fun(v,tc_bool))*.
% 299.97/300.56 106389[0:SpR:5137.0,106365.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)),tc_bool),c_False)**.
% 299.97/300.56 106365[0:Obv:106288.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),tc_bool),c_False)**.
% 299.97/300.56 106169[0:SpR:677.0,8789.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))*.
% 299.97/300.56 8789[0:SSi:8749.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))**.
% 299.97/300.56 106143[0:SSi:106125.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(c_False,v_x,tc_bool)) hBOOL(c_in(v_x,c_Complete__Lattice_OInf__class_OInf(tc_bool),t_a))* -> .
% 299.97/300.56 73923[0:SpL:418.1,73752.0] || hBOOL(c_in(v_x,u,t_a)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,v_x)),c_False))* -> .
% 299.97/300.56 105066[0:MRR:105044.2,84930.0] class_Orderings_Oorder(u) || c_Fun_Oinj__on(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,u,tc_bool)* -> c_Finite__Set_Ofinite(w,u).
% 299.97/300.56 105854[0:Obv:105803.0] class_Orderings_Oorder(u) || c_Fun_Oinj__on(c_COMBK(c_False,tc_bool,u),v,u,tc_bool)* -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.56 15283[0:SSi:15249.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v))* -> equal(v,c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))).
% 299.97/300.56 105065[0:MRR:105045.2,84930.0] class_Orderings_Oorder(u) || c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,u,tc_bool)* -> c_Finite__Set_Ofinite(w,u).
% 299.97/300.56 105085[0:SpL:13733.1,105064.0] || c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,tc_bool,tc_bool)* -> equal(u,c_False) c_Finite__Set_Ofinite(v,tc_bool).
% 299.97/300.56 105084[2:SpL:50422.1,105064.0] || hBOOL(u) c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,tc_bool,tc_bool)* -> c_Finite__Set_Ofinite(v,tc_bool).
% 299.97/300.56 105596[0:Res:4138.1,104976.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)),c_Complete__Lattice_OInf__class_OInf(tc_bool))** equal(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),v_x) -> .
% 299.97/300.56 901[0:SpR:34.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(u,v,w,x,y),v,w,z,x1),c_Fun_Ofun__upd(u,v,w,x,y))**.
% 299.97/300.56 104976[0:MRR:104954.2,37481.2] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),v_x) hBOOL(c_in(v_x,c_Complete__Lattice_OInf__class_OInf(tc_bool),t_a))* -> .
% 299.97/300.56 105419[0:Res:4138.1,105406.1] class_Orderings_Oorder(u) || equal(c_COMBK(c_False,tc_bool,u),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)))** -> .
% 299.97/300.56 105070[0:Res:4138.1,104973.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)),c_Complete__Lattice_OInf__class_OInf(tc_bool))** hBOOL(hAPP(v_x,c_False)) -> .
% 299.97/300.56 105076[0:SpL:9732.0,105064.0] || c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,tc_bool,tc_bool)* -> c_Finite__Set_Ofinite(v,tc_bool).
% 299.97/300.56 1150[0:SpR:418.1,35.0] || hBOOL(c_in(u,v,w)) -> equal(c_Fun_Ofun__upd(c_Set_Oinsert(u,w),v,v,x,y),c_Set_Oinsert(u,w))**.
% 299.97/300.56 105075[0:SpL:9735.0,105064.0] || c_Fun_Oinj__on(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,tc_bool,tc_bool)* -> c_Finite__Set_Ofinite(v,tc_bool).
% 299.97/300.56 104975[0:MRR:104871.2,37473.2] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),t_a))* -> .
% 299.97/300.56 105406[0:Obv:105368.0] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,c_COMBK(c_False,tc_bool,u),t_a))* -> .
% 299.97/300.56 104974[0:MRR:104873.2,37474.2] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),t_a))* -> .
% 299.97/300.56 10929[0:Res:416.0,768.0] || -> equal(hAPP(c_Set_Oimage(c_COMBK(u,v,w),w,v),hAPP(c_Set_Oinsert(x,w),y)),hAPP(c_fequal(v),u))**.
% 299.97/300.56 105078[0:SpL:8856.0,105064.0] || c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,tc_bool,tc_bool)* -> c_Finite__Set_Ofinite(v,tc_bool).
% 299.97/300.56 105077[0:SpL:9030.0,105064.0] || c_Fun_Oinj__on(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,tc_bool,tc_bool)* -> c_Finite__Set_Ofinite(v,tc_bool).
% 299.97/300.56 104973[0:MRR:104955.2,37475.2] || hBOOL(hAPP(v_x,c_False)) hBOOL(c_in(v_x,c_Complete__Lattice_OInf__class_OInf(tc_bool),t_a))* -> .
% 299.97/300.56 10824[0:MRR:10813.0,1061.0] || c_Fun_Oinj__on(c_COMBK(u,v,w),x,w,v)* -> equal(x,c_COMBK(c_False,tc_bool,w)) c_Finite__Set_Ofinite(x,w).
% 299.97/300.56 105042[0:Res:4138.1,104968.0] || equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)))** -> .
% 299.97/300.56 104985[0:Res:4138.1,104967.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)),c_HOL_Ominus__class_Ominus(v_x,tc_bool))** -> .
% 299.97/300.56 104982[0:Res:4138.1,104966.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)),c_HOL_Ominus__class_Ominus(c_False,tc_bool))** -> .
% 299.97/300.56 104968[0:MRR:104907.1,37469.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),t_a))* -> .
% 299.97/300.56 4280[0:SSi:4277.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Fun_Oinj__on(u,v,w,x) -> c_Fun_Oinj__on(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),v),y),w,x)*.
% 299.97/300.56 104967[0:MRR:104879.1,37464.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(v_x,tc_bool),t_a))* -> .
% 299.97/300.56 104966[0:MRR:104878.1,37463.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_False,tc_bool),t_a))* -> .
% 299.97/300.56 65940[0:SpL:61328.1,23832.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.56 1397[0:SpR:34.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(c_Fun_Ofun__upd(v,w,u,x,y),z,x1),c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool))),x1))*.
% 299.97/300.56 65078[0:SSi:65077.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)),u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.56 104648[0:Res:4246.0,21899.0] || -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_Set_Oinsert(v,w),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.56 104668[0:Res:82101.0,21899.0] || -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_Set_Oinsert(u,v),w,tc_fun(x,tc_bool)),u))*.
% 299.97/300.56 104638[0:Res:4245.0,21899.0] || -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_lessequals(tc_bool),c_False),c_Set_Oinsert(u,v),w,tc_fun(x,tc_bool)),u))*.
% 299.97/300.56 21899[0:Res:598.0,352.0] || hBOOL(c_in(u,v,w))*+ -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(x,y),w,tc_fun(z,tc_bool)),x))*.
% 299.97/300.56 64058[0:SpR:63990.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_Orderings_Otop__class_Otop(tc_bool),u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.56 104544[0:SpR:712.1,104116.0] class_Orderings_Oorder(u) || -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),tc_fun(u,tc_bool)),w),u)*.
% 299.97/300.56 104116[0:SpR:256.0,104114.0] || -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(u),v),tc_fun(u,tc_bool)),w),u)*.
% 299.97/300.56 15681[0:Res:320.0,107.0] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(w,v,x),u),tc_fun(x,tc_bool)),y),x)*.
% 299.97/300.56 63966[0:SSi:63965.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.56 61292[0:SpR:49966.1,593.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> c_Wellfounded_OwfP(c_COMBK(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool),tc_bool),tc_bool)*.
% 299.97/300.56 50392[2:SpR:47834.1,44893.0] || hBOOL(u) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),tc_bool),c_False)**.
% 299.97/300.56 45771[0:SpR:13734.1,44894.0] || -> equal(u,c_False) equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),tc_bool),c_False)**.
% 299.97/300.56 3790[0:SpR:757.0,475.1] || hBOOL(c_in(u,hAPP(c_fequal(v),w),v)) -> hBOOL(c_in(u,hAPP(c_Set_Oinsert(w,v),x),v))*.
% 299.97/300.56 44799[0:SpL:678.0,44668.0] || equal(c_COMBK(c_False,tc_bool,u),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(c_False,tc_fun(u,tc_bool)),tc_bool),c_False)**.
% 299.97/300.56 35669[0:SSi:35660.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.56 103776[0:Res:100450.1,33060.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)).
% 299.97/300.56 1057[0:SpR:699.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oinsert(u,v),c_COMBK(c_False,tc_bool,v),hAPP(c_fequal(v),u),w,x),c_Set_Oinsert(u,v))**.
% 299.97/300.56 33060[0:SSi:33051.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)).
% 299.97/300.56 103725[0:SpR:699.0,103531.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_fequal(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,u),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.56 103724[0:SpR:2659.0,103531.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,u),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.56 103531[0:SSi:103496.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,v),w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(u,v),tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)),x)*.
% 299.97/300.56 996[0:SpR:19.1,35.0] class_Lattices_Obounded__lattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Orderings_Otop__class_Otop(u),v,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))**.
% 299.97/300.56 102927[0:Res:368.1,25011.1] class_Orderings_Obot(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.56 102923[0:Res:5772.1,25011.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.56 102766[0:Res:465.1,24826.1] class_Orderings_Otop(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.56 103565[0:SSi:103559.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Orderings_Olinorder(tc_bool) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.56 984[0:SpR:367.1,35.0] class_Lattices_Obounded__lattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Orderings_Obot__class_Obot(u),v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))**.
% 299.97/300.56 102762[0:Res:5848.1,24826.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.56 103020[0:Res:59165.0,25011.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),tc_bool),u))*.
% 299.97/300.56 103019[0:Res:58777.0,25011.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),tc_bool),u))*.
% 299.97/300.56 102802[0:Res:58395.0,24826.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),v,tc_bool),v))*.
% 299.97/300.56 87848[0:MRR:15070.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),u)),hAPP(c_Set_Oinsert(v,w),x)))*.
% 299.97/300.56 102796[0:Res:59787.0,24826.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),u,tc_bool),u))*.
% 299.97/300.56 102900[0:Res:102864.1,20047.0] class_Orderings_Olinorder(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.56 102939[0:Res:465.1,25011.1] class_Orderings_Otop(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u),v))*.
% 299.97/300.56 102935[0:Res:5848.1,25011.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u),v))*.
% 299.97/300.56 26728[0:SpL:410.0,24.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x)),v)* -> c_Finite__Set_Ofinite(w,v).
% 299.97/300.56 102754[0:Res:368.1,24826.1] class_Orderings_Obot(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u),v))*.
% 299.97/300.56 102750[0:Res:5772.1,24826.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u),v))*.
% 299.97/300.56 102897[0:Res:102864.1,86811.0] class_Orderings_Olinorder(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)))*.
% 299.97/300.56 102968[0:Res:28232.1,25011.1] class_Orderings_Olinorder(tc_bool) || equal(c_False,u) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool),u))*.
% 299.97/300.56 26331[0:SpL:411.0,23.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x)),v)* -> c_Finite__Set_Ofinite(x,v).
% 299.97/300.56 102795[0:Res:28232.1,24826.1] class_Orderings_Olinorder(tc_bool) || equal(c_False,u) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool),v))*.
% 299.97/300.56 102898[2:Res:102864.1,53092.0] class_Orderings_Olinorder(u) || equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),v),c_False)** -> .
% 299.97/300.56 102964[0:Res:12623.0,25011.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u))*.
% 299.97/300.56 102932[0:Res:935.0,25011.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,u,tc_bool),c_False))*.
% 299.97/300.56 25011[0:SpR:802.2,598.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))*+ -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),v))*.
% 299.97/300.56 102791[0:Res:12623.0,24826.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.56 102902[0:Res:102864.1,16368.0] class_Orderings_Olinorder(tc_bool) || -> equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),c_False)**.
% 299.97/300.56 102864[0:Obv:102744.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),v))*.
% 299.97/300.56 102759[0:Res:935.0,24826.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,u,tc_bool),u))*.
% 299.97/300.56 24826[0:SpR:803.2,598.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))*+ -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),w))*.
% 299.97/300.56 26903[0:SpR:418.1,26868.0] || hBOOL(c_in(v_x,u,t_a)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(u,v_x))))*.
% 299.97/300.56 102120[0:SpR:712.1,101818.0] class_Orderings_Oorder(t_a) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(u),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x))))*.
% 299.97/300.56 102580[0:Res:3637.0,13885.0] || -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_Set_Oinsert(v,w),u,tc_fun(w,tc_bool)),w)*.
% 299.97/300.56 102577[0:Res:1061.0,13885.0] || -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_fequal(v),u,tc_fun(v,tc_bool)),v)*.
% 299.97/300.56 13885[0:Res:422.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,v),w)*+ -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),u,x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.56 102128[2:Res:101818.0,53092.0] || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x))),c_False)** -> .
% 299.97/300.56 101819[0:Res:491.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(hAPP(c_fequal(t_a),v_x),v_x))))*.
% 299.97/300.56 101838[0:Res:598.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_fequal(t_a),v_x),v_x),u),v)))*.
% 299.97/300.56 101818[0:Res:659.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x))))*.
% 299.97/300.56 5955[0:SSi:5947.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),v)** c_Finite__Set_Ofinite(w,u) -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.56 101661[0:Res:253.1,26491.0] || hBOOL(hAPP(u,hAPP(hAPP(c_fequal(t_a),v_x),v_x)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)).
% 299.97/300.56 26446[0:SpR:3333.0,26200.0] || -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_fequal(t_a),v_x)),v_x)),v))*.
% 299.97/300.56 101545[0:MRR:101516.1,1061.0] || equal(hAPP(c_Set_Oinsert(u,v),w),hAPP(c_fequal(v),u))** -> c_Finite__Set_Ofinite(w,v).
% 299.97/300.56 5905[0:SSi:5897.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w)** c_Finite__Set_Ofinite(w,u) -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.56 101319[0:SpR:712.1,101316.0] class_Orderings_Oorder(t_a) || -> hBOOL(c_in(c_False,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x)),u))*.
% 299.97/300.56 101331[0:Res:101316.0,1152.0] || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),c_COMBK(c_False,tc_bool,u))* -> .
% 299.97/300.56 101327[2:Res:101316.0,49440.0] || equal(c_in(c_False,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),u),c_False)** -> .
% 299.97/300.56 101313[0:Res:26434.0,19855.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x))),c_False)**.
% 299.97/300.56 3919[0:SSi:3913.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),x),v))* -> hBOOL(c_in(u,w,v)).
% 299.97/300.56 101316[0:AED:250.0,101311.1] || -> hBOOL(c_in(c_False,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),u))*.
% 299.97/300.56 26434[0:Res:26226.0,1141.0] || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x))),c_False))*.
% 299.97/300.56 26171[0:SpR:3333.0,26073.0] || -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_fequal(t_a),v_x)),v_x)))*.
% 299.97/300.56 100634[0:SSi:100592.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Oupper__semilattice(u) || -> c_Hoare__Mirabelle_Ohoare__derivs(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.56 1411[0:SpR:699.0,248.0] || -> hBOOL(c_in(hAPP(c_fequal(u),v),hAPP(c_Set_Oimage(c_Set_Oinsert(v,u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.56 100694[0:SSi:100693.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.56 100692[0:SSi:100691.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.56 100690[0:SSi:100689.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) -> equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.56 100666[0:Res:100520.1,20047.0] || equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.56 898[0:SpR:256.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),v,v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v))**.
% 299.97/300.56 100664[2:Res:100520.1,53092.0] || equal(c_False,u) equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)),c_False)** -> .
% 299.97/300.56 100688[0:SSi:100681.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))* -> .
% 299.97/300.56 100520[0:AED:250.0,100488.2] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.56 87814[0:MRR:14965.2,87746.1] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),w))*.
% 299.97/300.56 100450[0:MRR:100449.0,12623.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u))*.
% 299.97/300.56 25106[0:MRR:25052.1,935.0] class_Orderings_Olinorder(tc_bool) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,v,tc_bool))),c_False)**.
% 299.97/300.56 100350[0:SSi:100308.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Olower__semilattice(u) || -> c_Hoare__Mirabelle_Ohoare__derivs(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.56 87811[0:MRR:14968.2,87746.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),w))*.
% 299.97/300.56 100254[0:Rew:1581.0,100247.0] || hBOOL(hAPP(hAPP(c_fequal(tc_bool),c_False),c_Orderings_Otop__class_Otop(tc_bool)))*+ -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u),c_False)**.
% 299.97/300.56 19855[0:SpR:12684.0,13495.1] || hBOOL(hAPP(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u),c_False))* -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u),c_False).
% 299.97/300.56 99692[0:SpL:712.1,99542.0] class_Orderings_Oorder(t_a) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x)))* -> .
% 299.97/300.56 100082[0:SSi:100072.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),c_False))*+ equal(c_False,v)* -> equal(v,u)*.
% 299.97/300.56 15144[0:Res:41.1,503.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u)),w))*.
% 299.97/300.56 100004[0:SSi:99941.1,99941.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.56 99850[0:Res:99518.1,28275.1] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u))*+ equal(c_False,v)* -> equal(v,u)*.
% 299.97/300.56 100047[2:SSi:100046.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u))*+ hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)))* -> .
% 299.97/300.56 99589[2:MRR:89639.2,99588.1] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),c_False))* hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))) -> .
% 299.97/300.56 15143[0:Res:37.1,503.1] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u)),w))*.
% 299.97/300.56 99835[0:SSi:99827.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),c_False))* hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))) -> .
% 299.97/300.56 99518[0:Res:99502.1,18478.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))*.
% 299.97/300.56 99515[0:Res:99502.1,75661.1] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u))* hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))) -> .
% 299.97/300.56 99543[0:Res:99502.1,73752.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),u),v_x)))* -> .
% 299.97/300.56 13309[0:Res:465.1,69.1] class_Orderings_Otop(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)))* equal(c_Orderings_Otop__class_Otop(u),v).
% 299.97/300.56 99723[0:SSi:99713.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),c_False))* equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> .
% 299.97/300.56 99516[0:Res:99502.1,49965.1] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u))* equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> .
% 299.97/300.56 99542[0:Res:99502.1,73673.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)))* -> .
% 299.97/300.56 99588[2:SSi:99578.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),c_False))* hBOOL(u) -> .
% 299.97/300.56 13297[0:Res:368.1,69.1] class_Orderings_Obot(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),v))* equal(v,c_Orderings_Obot__class_Obot(u)).
% 299.97/300.56 99517[2:Res:99502.1,47833.1] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u))* hBOOL(u) -> .
% 299.97/300.56 99541[0:Res:99502.1,28083.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_Orderings_Otop__class_Otop(tc_bool)))* -> .
% 299.97/300.56 15549[0:SSi:15536.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(u,c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),tc_bool))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False)).
% 299.97/300.56 13059[0:Res:465.1,77.1] class_Orderings_Otop(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)))* equal(v,c_Orderings_Otop__class_Otop(u)).
% 299.97/300.56 8991[0:SpR:8938.0,5267.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.56 8990[0:SpR:8938.0,5137.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.56 8818[0:SpR:8783.0,5267.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.56 8817[0:SpR:8783.0,5137.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.56 13047[0:Res:368.1,77.1] class_Orderings_Obot(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),v))* equal(c_Orderings_Obot__class_Obot(u),v).
% 299.97/300.56 92468[0:SpR:58351.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x)),v_x)),c_False)**.
% 299.97/300.56 92438[0:SpR:1916.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v_x)),v_x)),c_False)**.
% 299.97/300.56 92404[0:SpR:956.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False)),v_x)),c_False)**.
% 299.97/300.56 12493[0:SpR:125.1,186.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),u),v)),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.56 73760[0:SSi:73759.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,hAPP(hAPP(c_Set_Oinsert(v_x,t_a),u),v_x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.56 73758[0:SSi:73757.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,hAPP(hAPP(c_Set_Oinsert(v_x,t_a),u),v_x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.56 73721[0:SpR:3333.0,73581.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_fequal(t_a),v_x)),v_x)))*.
% 299.97/300.56 73352[0:Con:73351.2] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.56 12274[0:SSi:12251.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(u,tc_bool)),w)),u)* -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.56 64085[0:SSi:64084.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.56 58444[0:SpR:58351.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),t_a))*+ -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),u))*.
% 299.97/300.56 58443[0:SpR:58351.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),t_a))*+ -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v_x))*.
% 299.97/300.56 49213[2:Res:26868.0,47875.1] || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),u),v_x))),c_False)** -> .
% 299.97/300.56 12203[0:SpR:276.1,278.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),u),v)),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.56 42610[0:SpR:1916.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v_x),t_a))*+ -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),u))*.
% 299.97/300.56 42577[0:SpR:956.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),t_a))*+ -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),u))*.
% 299.97/300.56 98370[0:Rew:757.0,98355.0] || equal(hAPP(c_Set_Oinsert(u,v),w),w)** -> hBOOL(c_in(u,w,v)).
% 299.97/300.56 5990[0:SpL:699.0,325.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),w))* -> hBOOL(c_in(v,w,u)).
% 299.97/300.56 37476[0:SSi:37456.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(v_x,c_Complete__Lattice_OSup__class_OSup(tc_bool),t_a)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v_x)))*.
% 299.97/300.56 37402[0:SpR:1916.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v_x),t_a))*+ -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v_x))*.
% 299.97/300.56 37370[0:SpR:956.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),t_a))*+ -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v_x))*.
% 299.97/300.56 5045[0:Obv:5044.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))*.
% 299.97/300.56 93526[2:MRR:93507.2,50472.0] || hBOOL(c_in(c_False,c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),tc_bool))* hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool))) -> .
% 299.97/300.56 82158[0:Obv:82155.0] || equal(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))**.
% 299.97/300.56 79869[0:Rew:79865.1,79868.1] || equal(hAPP(c_fequal(tc_bool),c_False),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(tc_bool),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.56 79867[0:Rew:79863.1,79866.1] || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(tc_bool),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.56 1392[0:SpR:256.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.56 79864[0:Obv:79772.0] || equal(hAPP(c_lessequals(tc_bool),c_False),c_False)** -> equal(hAPP(c_lessequals(tc_bool),c_False),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.56 79863[0:Obv:79787.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_False)** -> equal(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.56 74885[0:SpR:58351.0,73586.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.56 74821[0:SpR:956.0,73586.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.56 24260[0:SSi:24213.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),u),v)))*.
% 299.97/300.56 73697[0:SpL:712.1,73673.0] class_Orderings_Oorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x)),c_False))* -> .
% 299.97/300.56 49206[2:Res:21030.1,47875.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(c_Complete__Lattice_OSup__class_OSup(tc_bool))) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_False),c_False)** -> .
% 299.97/300.56 97156[0:Res:253.1,40814.0] || hBOOL(hAPP(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(c_Complete__Lattice_OSup__class_OSup(tc_bool)),v_x))* hBOOL(v_x) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_False)).
% 299.97/300.56 24259[0:SSi:24214.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u),x),v)))*.
% 299.97/300.56 40814[0:Res:40007.2,531.0] || hBOOL(c_in(v_x,c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(c_Complete__Lattice_OSup__class_OSup(tc_bool)),tc_bool))* hBOOL(v_x) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_False)).
% 299.97/300.56 94804[0:Res:17248.0,57.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x)),v)* -> c_Finite__Set_Ofinite(x,v).
% 299.97/300.56 89547[0:Res:15156.0,57.0] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),tc_fun(v,tc_bool)),v)*.
% 299.97/300.56 97068[0:SSi:97036.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),tc_fun(v,tc_bool)),v)*.
% 299.97/300.56 11219[0:SSi:11191.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(c_Set_Oinsert(v,w),u),tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(w,tc_bool)))** -> .
% 299.97/300.56 97067[0:SSi:97025.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),v)*.
% 299.97/300.56 87839[0:MRR:58509.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),v))*.
% 299.97/300.56 96908[0:SSi:96875.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),tc_fun(v,tc_bool)),v)*.
% 299.97/300.56 96907[0:SSi:96864.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),v)*.
% 299.97/300.56 13347[0:SSi:13300.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v))* equal(v,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.56 87827[0:MRR:15048.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),v))*.
% 299.97/300.56 87403[0:Res:3578.0,86811.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,w),hAPP(c_fequal(w),u))))*.
% 299.97/300.56 96451[0:SSi:96407.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))*+ -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w))*.
% 299.97/300.56 96436[0:SpL:54836.0,94130.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w))*.
% 299.97/300.56 13346[0:SSi:13310.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))* equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v).
% 299.97/300.56 96435[0:SpL:54440.0,94130.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),w))*.
% 299.97/300.56 94130[0:SpL:54836.0,84465.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))*+ -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))*.
% 299.97/300.56 93804[0:SpR:54831.0,84403.1] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))*+ -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u))*.
% 299.97/300.56 93800[0:SpR:54075.0,84403.1] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))*+ -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v))*.
% 299.97/300.56 23241[0:SpR:472.0,30.1] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(w,x,y),hAPP(c_Set_Oimage(z,v,x),u)),y)*.
% 299.97/300.56 89387[0:SSi:89340.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_bool))))* -> hBOOL(v).
% 299.97/300.56 89094[2:Res:87593.1,53092.0] || hBOOL(hAPP(c_fequal(u),v)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oinsert(v,u)),c_False)** -> .
% 299.97/300.56 96201[0:SSi:96170.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(c_False,u) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),tc_fun(u,tc_bool)),u)*.
% 299.97/300.56 96200[0:SSi:96159.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(c_False,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),v)*.
% 299.97/300.56 23109[0:Obv:23025.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,c_Set_Oinsert(v,w),x,y)*+ -> equal(hAPP(hAPP(u,c_Set_Oinsert(v,w)),z),z)**.
% 299.97/300.56 87846[0:MRR:15047.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),c_False))*.
% 299.97/300.56 96108[0:SSi:96047.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.56 87828[0:MRR:14993.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u)),v))*.
% 299.97/300.56 21881[0:Res:659.0,352.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_fequal(x),w,tc_fun(y,tc_bool)),u))*.
% 299.97/300.56 87574[0:Obv:86974.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)))*.
% 299.97/300.56 87573[0:Obv:86972.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)))*.
% 299.97/300.56 87567[0:Obv:86937.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)))*.
% 299.97/300.56 87566[0:Obv:86935.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)))*.
% 299.97/300.56 13635[0:SpR:774.1,249.0] || -> hBOOL(c_in(u,v,w)) equal(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_fequal(w),u)),v)**.
% 299.97/300.56 87263[0:Res:465.1,86811.0] class_Orderings_Otop(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)))*.
% 299.97/300.56 87259[0:Res:5848.1,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)))*.
% 299.97/300.56 86862[0:SSi:86830.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))))*.
% 299.97/300.56 95397[0:SpL:9732.0,94576.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v)*+ -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool))*.
% 299.97/300.56 10619[0:SSi:10582.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),x,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(v,x,u).
% 299.97/300.56 95396[0:SpL:9735.0,94576.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v)*+ -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool))*.
% 299.97/300.56 95208[0:SpL:9732.0,94574.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v)*+ -> equal(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool))*.
% 299.97/300.56 95200[0:SpL:9432.0,94574.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v)*+ -> equal(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool))*.
% 299.97/300.56 95399[0:SpL:8856.0,94576.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v)*+ -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool))*.
% 299.97/300.56 10618[0:SSi:10604.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),x,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(w,x,u).
% 299.97/300.56 95398[0:SpL:9030.0,94576.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v)*+ -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool))*.
% 299.97/300.56 95211[0:SpL:8855.0,94574.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v)*+ -> equal(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool))*.
% 299.97/300.56 95210[0:SpL:9029.0,94574.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v)*+ -> equal(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool))*.
% 299.97/300.56 10598[0:Res:236.0,528.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),u),x),v,w)*.
% 299.97/300.56 94694[0:SpL:9030.0,94575.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v)*+ -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool))*.
% 299.97/300.56 94687[0:SpL:9029.0,94575.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v)*+ -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool))*.
% 299.97/300.56 94662[0:SpL:8856.0,94573.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v)*+ -> equal(v,c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool))*.
% 299.97/300.56 10597[0:Res:237.0,528.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x),u),v,w)*.
% 299.97/300.56 94648[0:SpL:8855.0,94573.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v)*+ -> equal(v,c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool))*.
% 299.97/300.56 94696[0:SpL:9000.0,94575.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v)*+ -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool))*.
% 299.97/300.56 94688[0:SpL:9001.0,94575.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v)*+ -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool))*.
% 299.97/300.56 94650[0:SpL:8827.0,94573.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v)*+ -> equal(v,c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool))*.
% 299.97/300.56 17248[0:Res:409.0,413.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),hAPP(c_Set_Oinsert(x,u),v))))*.
% 299.97/300.56 94649[0:SpL:9000.0,94573.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v)*+ -> equal(v,c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool))*.
% 299.97/300.56 94629[0:MRR:94612.2,94605.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || equal(v,w)* -> equal(w,v).
% 299.97/300.56 16791[0:SSi:16790.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(u,v) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),u),v))* -> equal(v,u).
% 299.97/300.56 84959[0:SpL:61329.1,84946.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*+ -> c_Finite__Set_Ofinite(v,tc_bool)*.
% 299.97/300.56 84655[0:SSi:84603.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u)))*.
% 299.97/300.56 84528[0:SSi:84509.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))* -> hBOOL(v).
% 299.97/300.56 94262[0:SSi:94224.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.56 87830[0:MRR:14962.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u)),w))*.
% 299.97/300.56 84465[0:SSi:84425.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))* -> hBOOL(w).
% 299.97/300.56 93968[0:SSi:93910.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)))*.
% 299.97/300.56 93877[0:Con:93849.2] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))*.
% 299.97/300.56 84403[0:SSi:84372.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)))*.
% 299.97/300.56 55320[0:SSi:55319.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),v),v)**.
% 299.97/300.56 90817[2:Res:90716.1,53092.0] || hBOOL(u) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),u)),c_False)** -> .
% 299.97/300.56 89278[0:SpL:418.1,89273.0] || hBOOL(c_in(c_False,u,tc_bool)) hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u))*.
% 299.97/300.56 93396[0:Obv:93365.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),c_False)),tc_bool),c_False)**.
% 299.97/300.56 93108[0:SpR:757.0,54506.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),w),w)**.
% 299.97/300.56 54506[0:SSi:54505.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),w),w)**.
% 299.97/300.56 88666[2:Res:87565.1,53092.0] || hBOOL(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oinsert(v,u)),c_False)** -> .
% 299.97/300.56 88661[2:Res:87497.1,53092.0] || hBOOL(u) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u)),c_False)** -> .
% 299.97/300.56 88646[2:Res:87235.1,53092.0] || hBOOL(u) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(v,tc_bool)),u)),c_False)** -> .
% 299.97/300.56 24257[0:SSi:24200.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),x)),hAPP(u,x)))*.
% 299.97/300.56 86793[0:SSi:86792.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(u,v_x),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),u),v_x)),c_False)**.
% 299.97/300.56 85364[0:SpL:3333.0,84527.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),v))))* -> hBOOL(v).
% 299.97/300.56 84656[0:SSi:84625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),u)))*.
% 299.97/300.56 11189[0:Res:465.1,755.1] class_Orderings_Otop(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.56 84466[0:SSi:84444.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)))* -> hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),v)).
% 299.97/300.56 89452[0:Res:533.1,89320.1] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_False)) hBOOL(hAPP(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_Complete__Lattice_OInf__class_OInf(tc_bool)),u))* -> hBOOL(u).
% 299.97/300.56 91771[3:SpL:61329.1,91749.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.56 91770[3:SpL:29195.1,91749.0] || equal(c_False,u) hBOOL(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool))* -> .
% 299.97/300.56 11177[0:Res:368.1,755.1] class_Orderings_Obot(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.56 91769[3:SpL:29743.1,91749.0] || equal(c_False,u) hBOOL(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool))* -> .
% 299.97/300.56 91756[3:AED:250.0,91755.2] || hBOOL(u) hBOOL(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.56 91747[3:AED:250.0,91746.1] || hBOOL(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool))* -> .
% 299.97/300.56 91745[3:AED:250.0,91744.1] || hBOOL(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool))* -> .
% 299.97/300.56 8941[0:SSi:8914.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(c_Set_Oinsert(u,v),w),w,tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))**.
% 299.97/300.56 91751[3:AED:250.0,91750.1] || hBOOL(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))* -> .
% 299.97/300.56 91749[3:AED:250.0,91748.1] || hBOOL(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.56 91720[3:Spt:87603.0,87603.1] || hBOOL(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> equal(u,c_False).
% 299.97/300.56 8786[0:SSi:8759.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Set_Oinsert(u,v),w),w,tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))**.
% 299.97/300.56 8037[0:SSi:7999.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w)),v)**.
% 299.97/300.56 89691[0:SpL:2678.0,17841.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),w))* -> .
% 299.97/300.56 89536[0:Res:15156.0,530.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),v)*.
% 299.97/300.56 88451[0:SpR:418.1,87253.1] || hBOOL(c_in(u,v,w))*+ hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v))*.
% 299.97/300.56 8036[0:SSi:8021.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),v)),v)**.
% 299.97/300.56 87685[0:Obv:87027.0] || hBOOL(hAPP(c_Set_Oinsert(u,v),w))*+ -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oinsert(u,v)))*.
% 299.97/300.56 87257[0:Res:701.0,86811.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Finite__Set_Ofold1Set(v,hAPP(c_fequal(w),u),w)))*.
% 299.97/300.56 87252[0:Res:1003.1,86811.0] class_Orderings_Oorder(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)))*.
% 299.97/300.56 90718[0:Obv:90690.0] || equal(c_False,u) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),u),tc_bool),u)**.
% 299.97/300.56 5568[0:SSi:5567.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v)),v)**.
% 299.97/300.56 90716[0:Obv:90685.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),u)))*.
% 299.97/300.56 90717[0:MRR:90692.0,927.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.56 90714[0:Obv:90684.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_False),tc_bool),c_False)**.
% 299.97/300.56 90441[0:SpR:256.0,5566.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),v),v)**.
% 299.97/300.56 5566[0:SSi:5565.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),v)**.
% 299.97/300.56 84958[0:SpL:29195.1,84946.0] || equal(c_False,u) equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool))*+ -> c_Finite__Set_Ofinite(v,tc_bool)*.
% 299.97/300.56 84957[0:SpL:29743.1,84946.0] || equal(c_False,u) equal(v,c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool))*+ -> c_Finite__Set_Ofinite(v,tc_bool)*.
% 299.97/300.56 88486[2:Res:87253.1,53092.0] || hBOOL(u) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,v),w)),c_False)** -> .
% 299.97/300.56 87860[0:Res:87746.1,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)))*.
% 299.97/300.56 19117[0:SSi:19098.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),v))* -> .
% 299.97/300.56 87529[0:Obv:86876.1] class_Lattices_Olower__semilattice(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)))*.
% 299.97/300.56 87528[0:Obv:86875.1] class_Lattices_Olattice(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)))*.
% 299.97/300.56 87527[0:Obv:86874.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)))*.
% 299.97/300.56 87526[0:Obv:86873.1] class_Lattices_Oupper__semilattice(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)))*.
% 299.97/300.56 18905[0:SSi:18884.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),w))* -> .
% 299.97/300.56 87525[0:Obv:86872.1] class_Lattices_Olattice(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)))*.
% 299.97/300.56 87524[0:Obv:86871.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)))*.
% 299.97/300.56 87241[0:Res:495.1,86811.0] class_Orderings_Opreorder(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)))*.
% 299.97/300.56 87240[0:Res:494.1,86811.0] class_Orderings_Oorder(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)))*.
% 299.97/300.56 18193[0:SSi:18165.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w)))* -> .
% 299.97/300.56 87239[0:Res:1279.1,86811.0] class_Lattices_Olower__semilattice(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)))*.
% 299.97/300.56 87238[0:Res:1319.1,86811.0] class_Lattices_Oupper__semilattice(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)))*.
% 299.97/300.56 87237[0:Res:1811.1,86811.0] class_Lattices_Olattice(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)))*.
% 299.97/300.56 89682[0:SpL:1923.0,17841.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v))* -> .
% 299.97/300.56 17841[0:SSi:17811.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),v)))* -> .
% 299.97/300.56 87236[0:Res:2901.1,86811.0] class_Orderings_Olinorder(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)))*.
% 299.97/300.56 89515[0:SSi:89508.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),v))* hBOOL(v) -> hBOOL(u).
% 299.97/300.56 89466[0:SSi:89405.1,89405.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),v))* hBOOL(u) -> hBOOL(v).
% 299.97/300.56 89507[0:SpL:1581.0,89458.0] || hBOOL(hAPP(hAPP(c_fequal(tc_bool),u),v))* hBOOL(v) -> hBOOL(u).
% 299.97/300.56 15156[0:SSi:15132.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),tc_fun(u,tc_bool))),v))*.
% 299.97/300.56 89458[0:SSi:89404.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_fequal(tc_bool),u),v))* hBOOL(u) -> hBOOL(v).
% 299.97/300.56 89480[0:SSi:89476.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),c_Orderings_Otop__class_Otop(tc_bool)))* -> hBOOL(u).
% 299.97/300.56 89475[0:SpL:1581.0,89457.0] || hBOOL(hAPP(hAPP(c_fequal(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)))* -> hBOOL(u).
% 299.97/300.56 89457[0:MRR:89430.1,927.0] || hBOOL(hAPP(hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))* -> hBOOL(u).
% 299.97/300.56 11218[0:SSi:11180.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_COMBK(c_False,tc_bool,u),v,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))** -> .
% 299.97/300.56 89320[0:Res:253.1,85358.0] || hBOOL(hAPP(u,v))* hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u))*+ -> hBOOL(v).
% 299.97/300.56 85358[0:SpL:418.1,84527.0] || hBOOL(c_in(u,v,tc_bool))*+ hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),v))* -> hBOOL(u).
% 299.97/300.56 89273[0:MRR:89190.0,598.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_Set_Oinsert(c_False,tc_bool),u)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)).
% 299.97/300.56 87256[0:Res:533.1,86811.0] || hBOOL(hAPP(u,c_False)) hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u))*.
% 299.97/300.56 11217[0:SSi:11190.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))** -> .
% 299.97/300.56 87864[0:Res:87746.1,20047.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.56 87593[0:Obv:87028.0] || hBOOL(hAPP(c_fequal(u),v)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oinsert(v,u)))*.
% 299.97/300.56 22324[0:SpR:405.0,416.0] || -> hBOOL(c_in(hAPP(u,v),hAPP(c_Set_Oimage(u,w,x),hAPP(c_Set_Oinsert(v,w),y)),x))*.
% 299.97/300.56 87735[2:Res:87234.1,53092.0] || hBOOL(u) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(v),u)),c_False)** -> .
% 299.97/300.56 87565[0:Obv:86923.0] || hBOOL(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oinsert(v,u)))*.
% 299.97/300.56 87497[0:Obv:86870.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u)))*.
% 299.97/300.56 87235[0:Res:491.0,86811.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(v,tc_bool)),u)))*.
% 299.97/300.56 22632[0:Rew:699.0,22374.0,699.0,22374.0] || -> equal(hAPP(c_Set_Oimage(u,v,w),hAPP(c_fequal(v),x)),hAPP(c_fequal(w),hAPP(u,x)))**.
% 299.97/300.56 87535[0:MRR:87194.0,927.0] || hBOOL(hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OInf__class_OInf(tc_bool))).
% 299.97/300.56 87861[2:Res:87746.1,53092.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(hAPP(c_lessequals(u),v),v),c_False)** -> .
% 299.97/300.56 10584[0:Res:320.0,528.0] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x,v)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,x,v).
% 299.97/300.56 87253[0:Res:598.0,86811.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,v),w)))*.
% 299.97/300.56 22615[0:SpL:405.0,667.0] || equal(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),y)),c_COMBK(c_False,tc_bool,w))** -> .
% 299.97/300.56 20531[0:Rew:677.0,20505.1] || c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_fequal(v),w)),v)* -> c_Finite__Set_Ofinite(u,v).
% 299.97/300.56 88240[2:Res:87933.0,53092.0] || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),c_False)** -> .
% 299.97/300.56 87933[0:Res:659.0,87492.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))))*.
% 299.97/300.56 87746[0:Res:422.0,16088.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),v))*.
% 299.97/300.56 87234[0:Res:659.0,86811.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(v),u)))*.
% 299.97/300.56 86811[0:Res:253.1,84831.0] || hBOOL(hAPP(u,v))*+ hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u))*.
% 299.97/300.56 27005[0:MRR:26933.0,416.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),u)),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.56 86616[0:Res:86274.1,1152.0] || hBOOL(u) equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),c_COMBK(c_False,tc_bool,v))* -> .
% 299.97/300.56 86611[2:Res:86274.1,49440.0] || hBOOL(u) equal(c_in(c_False,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),c_False)** -> .
% 299.97/300.56 86619[0:Res:86274.1,12715.0] || hBOOL(u) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)),c_False)**.
% 299.97/300.56 86274[0:AED:250.0,86270.2] || hBOOL(u) -> hBOOL(c_in(c_False,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))*.
% 299.97/300.56 8912[0:Res:465.1,737.1] class_Orderings_Otop(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_Orderings_Otop__class_Otop(u),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.56 84385[0:Res:84168.1,1141.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)),c_False))*.
% 299.97/300.56 84945[0:SpL:5136.1,84930.0] class_Orderings_Oorder(u) || equal(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,u))*+ -> c_Finite__Set_Ofinite(v,u)*.
% 299.97/300.56 84944[0:SpL:5266.1,84930.0] class_Orderings_Oorder(u) || equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u))*+ -> c_Finite__Set_Ofinite(v,u)*.
% 299.97/300.56 8900[0:Res:368.1,737.1] class_Orderings_Obot(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_Orderings_Obot__class_Obot(u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.56 84961[0:SpL:13733.1,84946.0] || equal(u,c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool))*+ -> equal(v,c_False) c_Finite__Set_Ofinite(u,tc_bool)*.
% 299.97/300.56 84960[2:SpL:50422.1,84946.0] || hBOOL(u) equal(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*+ -> c_Finite__Set_Ofinite(v,tc_bool)*.
% 299.97/300.56 84737[2:Res:84455.1,53092.0] || hBOOL(u) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),c_False)** -> .
% 299.97/300.56 8757[0:Res:465.1,738.1] class_Orderings_Otop(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(c_Orderings_Otop__class_Otop(u),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.56 84640[2:Res:84401.1,53092.0] || hBOOL(u) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),c_False)** -> .
% 299.97/300.56 84527[0:SSi:84507.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)))* -> hBOOL(u).
% 299.97/300.56 84952[0:SpL:9732.0,84946.0] || equal(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool))*+ -> c_Finite__Set_Ofinite(u,tc_bool)*.
% 299.97/300.56 84951[0:SpL:9735.0,84946.0] || equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool))*+ -> c_Finite__Set_Ofinite(u,tc_bool)*.
% 299.97/300.56 8745[0:Res:368.1,738.1] class_Orderings_Obot(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_Orderings_Obot__class_Obot(u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.56 84954[0:SpL:8856.0,84946.0] || equal(u,c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool))*+ -> c_Finite__Set_Ofinite(u,tc_bool)*.
% 299.97/300.56 84953[0:SpL:9030.0,84946.0] || equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool))*+ -> c_Finite__Set_Ofinite(u,tc_bool)*.
% 299.97/300.56 84930[0:Rew:685.0,84905.0] || equal(u,c_COMBK(c_False,tc_bool,v))*+ -> c_Finite__Set_Ofinite(u,v)*.
% 299.97/300.56 15708[0:MRR:15665.1,669.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_COMBK(c_False,tc_bool,u)))* -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.56 84386[2:Res:84168.1,53092.0] || hBOOL(u) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),c_False)** -> .
% 299.97/300.56 84636[0:SpR:65131.0,84401.1] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)))* -> hBOOL(u).
% 299.97/300.56 84455[0:SpL:64010.0,84358.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)))*.
% 299.97/300.56 8940[0:SSi:8913.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 299.97/300.56 84634[0:SpR:65071.0,84401.1] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)))* -> hBOOL(u).
% 299.97/300.56 84654[0:Rew:988.0,84638.1] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)))* -> hBOOL(u).
% 299.97/300.56 84401[0:SSi:84354.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u))*.
% 299.97/300.56 8785[0:SSi:8758.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 299.97/300.56 84362[0:SpR:54831.0,84168.1] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))* -> hBOOL(u).
% 299.97/300.56 84358[0:SpR:54075.0,84168.1] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))* -> hBOOL(v).
% 299.97/300.56 84168[0:SpR:34.0,84039.1] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))*.
% 299.97/300.56 40717[0:Res:533.1,39927.1] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_False)) hBOOL(c_in(v_x,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_Complete__Lattice_OInf__class_OInf(tc_bool)),tc_bool))* -> hBOOL(v_x).
% 299.97/300.56 21031[0:MRR:21029.1,927.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.56 83409[0:SpR:14872.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),hAPP(c_Set_Oinsert(c_False,v),x)),u))*.
% 299.97/300.56 216[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))*+ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),x),w))* c_Fun_Oinj__on(y,w,u,z)* -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(y,u,z),v),tc_fun(z,tc_bool)),hAPP(c_Set_Oimage(y,u,z),x)),hAPP(c_Set_Oimage(y,u,z),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),x)))**.
% 299.97/300.56 83096[0:SpR:14632.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),hAPP(c_Set_Oinsert(u,v),x)),c_False))*.
% 299.97/300.56 83095[0:SpR:14531.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_False,tc_bool),u,v),hAPP(c_Set_Oinsert(w,u),x)),c_False))*.
% 299.97/300.56 22323[0:SpR:405.0,598.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),y)),hAPP(u,x)))*.
% 299.97/300.56 49246[2:Res:6010.0,47875.1] || equal(c_in(u,hAPP(c_Set_Oinsert(v,w),hAPP(c_Set_Oinsert(u,w),x)),w),c_False)** -> .
% 299.97/300.56 849[0:Rew:699.0,538.2,662.0,538.2,699.0,538.1,662.0,538.1,699.0,538.0,662.0,538.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(w,x,v),y,z,v)),v)* c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(w,c_Fun_Ocomp(c_Not,x,tc_bool,tc_bool,tc_Com_Ostate),v),x1,z,v)),v)*+ -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),c_Hoare__Mirabelle_Otriple_Otriple(w,c_Com_Ocom_OCond(x,y,x1),z,v)),v)*.
% 299.97/300.56 49057[2:Res:1013.1,47875.1] class_Orderings_Oorder(u) || equal(hAPP(c_Finite__Set_Ofold1Set(v,c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),u),w),c_False)** -> .
% 299.97/300.56 61323[0:SpR:49966.1,664.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> c_Finite__Set_Ofold__graph(v,w,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),w,tc_bool,x)*.
% 299.97/300.56 61322[0:SpR:49966.1,663.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> c_Nitpick_Ofold__graph_H(v,w,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),w,tc_bool,x)*.
% 299.97/300.56 49049[2:Res:618.1,47875.1] || hBOOL(hAPP(u,v)) equal(hAPP(hAPP(c_Set_Oinsert(w,x),u),v),c_False)** -> .
% 299.97/300.56 846[0:Rew:699.0,576.2,662.0,576.2,699.0,576.1,662.0,576.1] || hBOOL(hAPP(hAPP(u,v),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(w,x,y,z))) c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(u,z,x1,t_a)),t_a)*+ -> hBOOL(hAPP(hAPP(x1,v),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(w,x,y,z,u,x1)))* c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(x,z,y,t_a)),t_a)*.
% 299.97/300.56 82207[0:SpL:61329.1,82195.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))** -> .
% 299.97/300.56 82206[0:SpL:29195.1,82195.0] || equal(c_False,u) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))** -> .
% 299.97/300.56 82205[0:SpL:29743.1,82195.0] || equal(c_False,u) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))** -> .
% 299.97/300.56 82194[0:SpL:5136.1,82113.0] class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))** -> .
% 299.97/300.56 847[0:Rew:699.0,578.2,662.0,578.2,699.0,578.1,662.0,578.1] || hBOOL(hAPP(hAPP(u,v),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(w,x,y,z))) c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(u,z,x1,t_a)),t_a)*+ -> hBOOL(hAPP(hAPP(x1,v),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(w,x,y,z,u,x1)))* c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(x,z,y,t_a)),t_a)*.
% 299.97/300.56 82193[0:SpL:5266.1,82113.0] class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))** -> .
% 299.97/300.56 82209[0:SpL:13733.1,82195.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))** -> equal(u,c_False).
% 299.97/300.56 82208[2:SpL:50422.1,82195.0] || hBOOL(u) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))** -> .
% 299.97/300.56 82132[0:SpR:82115.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_False,u,v),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.56 848[0:Rew:699.0,575.1,662.0,575.1,728.0,575.0,699.0,575.0,662.0,575.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(hAPP(c_fequal(tc_Com_Ostate),v_sko__Hoare__Mirabelle__Xescape__2(u,v,w,x)),tc_fun(tc_Com_Ostate,tc_bool),t_a),x,c_COMBK(hAPP(w,v_sko__Hoare__Mirabelle__Xescape__1(u,v,w,x)),tc_fun(tc_Com_Ostate,tc_bool),t_a),t_a)),t_a)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v,x,w,t_a)),t_a).
% 299.97/300.56 82160[0:SSi:82159.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))),c_False)**.
% 299.97/300.56 82200[0:SpL:9732.0,82195.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))** -> .
% 299.97/300.56 82199[0:SpL:9735.0,82195.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))** -> .
% 299.97/300.56 82202[0:SpL:8856.0,82195.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))** -> .
% 299.97/300.56 845[0:Rew:699.0,577.2,662.0,577.2,699.0,577.1,662.0,577.1] || hBOOL(hAPP(hAPP(u,v),v_sko__Hoare__Mirabelle__Xconseq12__2(w,u,x,y)))* c_Hoare__Mirabelle_Ohoare__derivs(z,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(u,x1,y,t_a)),t_a)*+ -> hBOOL(hAPP(hAPP(y,v),v_sko__Hoare__Mirabelle__Xconseq12__3(w,u,x,y)))* c_Hoare__Mirabelle_Ohoare__derivs(z,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(w,x1,x,t_a)),t_a)*.
% 299.97/300.56 82201[0:SpL:9030.0,82195.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))** -> .
% 299.97/300.56 82113[0:Res:82101.0,1152.0] || equal(c_COMBK(c_False,tc_bool,u),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))** -> .
% 299.97/300.56 82108[2:Res:82101.0,49440.0] || equal(c_in(c_False,c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u),c_False)** -> .
% 299.97/300.56 310[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_prod(u,v),tc_bool)),c_Product__Type_OSigma(w,c_COMBK(x,tc_fun(v,tc_bool),u),u,v)),c_Product__Type_OSigma(y,c_COMBK(x,tc_fun(v,tc_bool),u),u,v)))*+ hBOOL(c_in(z,x,v))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),y)).
% 299.97/300.56 82115[0:Res:82101.0,12715.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),c_False)**.
% 299.97/300.56 82101[0:MRR:82100.0,927.0] || -> hBOOL(c_in(c_False,c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u))*.
% 299.97/300.56 82006[0:Res:81832.0,13695.0] || -> equal(hAPP(hAPP(c_Set_Oinsert(u,v),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),c_False),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.56 81832[0:SpR:14872.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(u,tc_bool)),c_False)))*.
% 299.97/300.56 311[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))+ hBOOL(c_in(x,y,z))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_prod(u,z),tc_bool)),c_Product__Type_OSigma(v,c_COMBK(y,tc_fun(z,tc_bool),u),u,z)),c_Product__Type_OSigma(w,c_COMBK(y,tc_fun(z,tc_bool),u),u,z)))*.
% 299.97/300.56 24254[0:SSi:24208.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,v)),hAPP(hAPP(c_Set_Oinsert(w,x),u),v)))*.
% 299.97/300.56 14945[0:SpR:14872.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w))*.
% 299.97/300.56 81354[0:Obv:81300.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),tc_bool),c_False)**.
% 299.97/300.56 81359[0:MRR:81358.3,672.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))))* -> .
% 299.97/300.56 831[0:Rew:699.0,315.1,662.0,315.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),hAPP(c_fequal(u),w))),x))* hBOOL(c_in(w,v,u)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x))) hBOOL(c_in(w,x,u)).
% 299.97/300.56 14438[0:SpR:12562.1,168.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v),v)**.
% 299.97/300.56 81103[0:Obv:81031.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),tc_bool),c_False)**.
% 299.97/300.56 81109[0:MRR:81108.3,672.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))))* -> .
% 299.97/300.56 12371[0:SpR:12280.1,343.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v),v)**.
% 299.97/300.56 830[0:Rew:699.0,314.2,662.0,314.2] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x))) hBOOL(c_in(w,v,u)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),hAPP(c_fequal(u),w))),x))* hBOOL(c_in(w,x,u)).
% 299.97/300.56 79849[0:Obv:79462.1] class_Lattices_Olower__semilattice(u) || equal(c_False,v) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_bool),v)**.
% 299.97/300.56 79848[0:Obv:79461.1] class_Lattices_Olattice(u) || equal(c_False,v) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_bool),v)**.
% 299.97/300.56 79846[0:Obv:79460.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_bool),v)**.
% 299.97/300.56 79844[0:Obv:79459.1] class_Lattices_Oupper__semilattice(u) || equal(c_False,v) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_bool),v)**.
% 299.97/300.56 463[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),x),y)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),y)))*.
% 299.97/300.56 79843[0:Obv:79458.1] class_Lattices_Olattice(u) || equal(c_False,v) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_bool),v)**.
% 299.97/300.56 79841[0:Obv:79457.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_bool),v)**.
% 299.97/300.56 79861[0:Obv:79793.1] || hBOOL(hAPP(u,c_False))*+ equal(c_False,u) -> equal(u,c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))*.
% 299.97/300.56 79839[0:Obv:79456.0] || equal(c_False,u) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),tc_bool),u)**.
% 299.97/300.56 84[0:Inp] class_OrderedGroup_Oab__group__add(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(v,tc_bool)),w),x)) c_Finite__Set_Ofinite(x,v) -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(y,x,v,u),u),c_Finite__Set_Osetsum(y,w,v,u)),c_Finite__Set_Osetsum(y,hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(v,tc_bool)),w),v,u))**.
% 299.97/300.56 79995[0:MRR:79994.2,1059.0] || equal(hAPP(c_fequal(u),v),c_False)** equal(c_COMBK(c_False,tc_bool,u),c_False) -> .
% 299.97/300.56 78858[0:Res:28274.1,28275.1] || equal(hAPP(u,v),c_False)** equal(c_False,v) -> equal(v,c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool)).
% 299.97/300.56 50476[2:SpL:47834.1,694.1] || hBOOL(u) hBOOL(hAPP(v,w))* equal(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*+ -> .
% 299.97/300.56 49064[2:Res:409.0,47875.1] || equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),v)),c_False)** -> .
% 299.97/300.56 841[0:Rew:699.0,580.2,662.0,580.2,699.0,580.1,662.0,580.1] || hBOOL(hAPP(hAPP(u,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v,w,u,x)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(v,w,u,x,y,z)))* c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(y,x,z,t_a)),t_a) -> c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(w,x,u,t_a)),t_a).
% 299.97/300.56 29828[0:SpL:28271.1,673.0] || equal(c_False,u) hBOOL(hAPP(c_Finite__Set_Ofold1Set(v,c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool),tc_bool),x))* -> .
% 299.97/300.56 29279[0:SpL:28270.1,673.0] || equal(c_False,u) hBOOL(hAPP(c_Finite__Set_Ofold1Set(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool),tc_bool),x))* -> .
% 299.97/300.56 842[0:Rew:699.0,585.2,662.0,585.2,699.0,585.1,662.0,585.1] || hBOOL(hAPP(hAPP(u,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v,w,u,x)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(v,w,u,x,y,z)))* c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(y,x,z,t_a)),t_a) -> c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(w,x,u,t_a)),t_a).
% 299.97/300.56 78906[0:SSi:78905.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(u,v)*+ equal(c_False,v)* -> equal(v,u).
% 299.97/300.56 28275[0:SSi:28251.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u))* -> equal(u,v).
% 299.97/300.56 24608[0:SpR:24543.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,c_Orderings_Otop__class_Otop(tc_bool),w,x),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))**.
% 299.97/300.56 14846[0:SpR:14632.0,248.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w))*.
% 299.97/300.56 836[0:MRR:9.4,28.2] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),y)) hBOOL(hAPP(hAPP(c_lessequals(u),x),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(y,v,u)),c_SetInterval_Oord__class_OatLeastAtMost(x,w,u)))*.
% 299.97/300.56 13759[0:SpL:13374.1,694.1] || hBOOL(hAPP(u,v))* equal(u,c_SetInterval_Oord__class_OatLeastAtMost(w,c_False,tc_bool))*+ -> equal(w,c_False).
% 299.97/300.56 12596[0:SpR:12550.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool),u,v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u))**.
% 299.97/300.56 9864[0:SpR:9725.0,3649.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,tc_bool,tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w))**.
% 299.97/300.56 9859[0:SpR:9725.0,709.0] || -> equal(c_Product__Type_OSigma(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,tc_bool,w),c_COMBK(c_False,tc_bool,tc_prod(tc_bool,w)))**.
% 299.97/300.56 837[0:MRR:10.3,28.2] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),y)) hBOOL(hAPP(hAPP(c_lessequals(u),v),y)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(w,x,u)),c_SetInterval_Oord__class_OatLeastAtMost(v,y,u)))*.
% 299.97/300.56 9858[0:SpR:9725.0,706.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,tc_bool,tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))**.
% 299.97/300.56 9857[0:SpR:9725.0,708.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool))**.
% 299.97/300.56 9800[0:SpR:9728.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_False))*.
% 299.97/300.56 9631[0:SpR:9425.0,3649.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,tc_bool,tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w))**.
% 299.97/300.56 819[0:Rew:662.0,211.1] || -> equal(u,c_COMBK(c_False,tc_bool,v)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),y,tc_fun(w,tc_bool),tc_fun(w,tc_bool),v),v,tc_fun(w,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,y,v,tc_fun(w,tc_bool))))**.
% 299.97/300.56 9626[0:SpR:9425.0,709.0] || -> equal(c_Product__Type_OSigma(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,tc_bool,w),c_COMBK(c_False,tc_bool,tc_prod(tc_bool,w)))**.
% 299.97/300.56 9625[0:SpR:9425.0,706.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,tc_bool,tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))**.
% 299.97/300.56 9624[0:SpR:9425.0,708.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool))**.
% 299.97/300.56 9516[0:SpR:9428.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_False))*.
% 299.97/300.56 177[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(x,y,u)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),v)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),y)).
% 299.97/300.56 70330[0:SpL:9732.0,62246.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,u,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool))* -> .
% 299.97/300.56 70329[0:SpL:9735.0,62246.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool))* -> .
% 299.97/300.56 70114[0:SpL:9732.0,62244.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,u,tc_bool))* -> .
% 299.97/300.56 70113[0:SpL:9735.0,62244.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,u,tc_bool))* -> .
% 299.97/300.56 440[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),x),y)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),y)),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool)),x)))*.
% 299.97/300.56 61399[0:SpL:49966.1,10872.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.56 59886[0:SSi:59885.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))),u)**.
% 299.97/300.56 59172[0:Rew:58690.1,59077.1] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))* equal(u,v).
% 299.97/300.56 58783[0:SSi:58782.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))),u)**.
% 299.97/300.56 843[0:Rew:699.0,595.2,662.0,595.2,699.0,595.1,662.0,595.1,699.0,595.0,662.0,595.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),c_Hoare__Mirabelle_Otriple_Otriple(w,x,y,v)),v)*+ c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),c_Hoare__Mirabelle_Otriple_Otriple(y,z,x1,v)),v)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),c_Hoare__Mirabelle_Otriple_Otriple(w,c_Com_Ocom_OSemi(x,z),x1,v)),v)*.
% 299.97/300.56 50427[2:SpR:47834.1,13374.1] || hBOOL(u) -> equal(v,c_False) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*.
% 299.97/300.56 50426[2:SpR:47834.1,47834.1] || hBOOL(u) hBOOL(v) -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*.
% 299.97/300.56 50408[2:SpR:47834.1,677.0] || hBOOL(u) -> equal(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v)**.
% 299.97/300.56 49179[2:Res:16121.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),w),c_False)** -> .
% 299.97/300.56 838[0:Rew:699.0,587.2,662.0,587.2,699.0,587.1,662.0,587.1] || hBOOL(hAPP(hAPP(u,v_sko__Hoare__Mirabelle__Xconseq12__1(v,w,u,x)),v_sko__Hoare__Mirabelle__Xconseq12__3(v,w,u,x)))*+ c_Hoare__Mirabelle_Ohoare__derivs(y,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(w,z,x,t_a)),t_a)* -> c_Hoare__Mirabelle_Ohoare__derivs(y,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v,z,u,t_a)),t_a)*.
% 299.97/300.56 44903[0:Obv:44773.2] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),tc_bool),c_False)**.
% 299.97/300.56 44902[0:Obv:44772.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),tc_bool),c_False)**.
% 299.97/300.56 44901[0:Obv:44770.2] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),tc_bool),c_False)**.
% 299.97/300.56 44900[0:Obv:44769.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),tc_bool),c_False)**.
% 299.97/300.56 816[0:Rew:662.0,308.1] || -> equal(u,c_COMBK(c_False,tc_bool,v)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_COMBB(c_HOL_Ominus__class_Ominus(w,tc_fun(x,tc_bool)),y,tc_fun(x,tc_bool),tc_fun(x,tc_bool),v),v,tc_fun(x,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,y,v,tc_fun(x,tc_bool))))**.
% 299.97/300.56 75661[0:SSi:75656.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* -> .
% 299.97/300.56 75602[0:MRR:75601.2,672.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))*.
% 299.97/300.56 34559[0:SSi:34550.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),v)**.
% 299.97/300.56 825[0:Rew:699.0,198.3,662.0,198.3] class_OrderedGroup_Oab__group__add(u) || hBOOL(c_in(v,w,x)) c_Finite__Set_Ofinite(w,x) -> equal(c_Finite__Set_Osetsum(y,hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(x,tc_bool)),hAPP(c_fequal(x),v)),x,u),hAPP(c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(y,w,x,u),u),hAPP(y,v)))*.
% 299.97/300.56 73586[0:Con:73492.2] || hBOOL(c_in(v_x,u,t_a)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(u,v_x)))*.
% 299.97/300.56 73754[0:SSi:73753.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Set_Oinsert(v_x,t_a),u),v_x),c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.56 73732[2:Res:73581.0,53092.0] || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),u),v_x)),c_False)** -> .
% 299.97/300.56 824[0:Rew:699.0,197.3,662.0,197.3] class_Ring__and__Field_Oring(u) || hBOOL(c_in(v,w,x)) c_Finite__Set_Ofinite(w,x) -> equal(c_Finite__Set_Osetsum(y,hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(x,tc_bool)),hAPP(c_fequal(x),v)),x,u),hAPP(c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(y,w,x,u),u),hAPP(y,v)))*.
% 299.97/300.56 73679[0:SSi:73678.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,hAPP(hAPP(c_fequal(t_a),v_x),v_x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.56 73677[0:SSi:73676.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,hAPP(hAPP(c_fequal(t_a),v_x),v_x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.56 73649[0:SpR:712.1,73577.0] class_Orderings_Oorder(t_a) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x)))*.
% 299.97/300.56 217[0:Inp] || c_Fun_Oinj__on(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),v,w) -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(u,v,w),x),tc_fun(w,tc_bool)),hAPP(c_Set_Oimage(u,v,w),y)),hAPP(c_Set_Oimage(u,v,w),hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(v,tc_bool)),y)))**.
% 299.97/300.56 73752[0:SSi:73747.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),u),v_x)),c_False))* -> .
% 299.97/300.56 73675[0:SSi:73674.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_fequal(t_a),v_x),v_x),c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.56 73654[2:Res:73577.0,53092.0] || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),c_False)** -> .
% 299.97/300.56 834[0:Rew:699.0,536.1,662.0,536.1,699.0,536.0,662.0,536.0] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(u,c_Com_Ocom_OBODY(v),w,x),tc_Hoare__Mirabelle_Otriple(x)),y),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(x)),c_Hoare__Mirabelle_Otriple_Otriple(u,c_Option_Othe(c_Com_Obody(v),tc_Com_Ocom),w,x)),x)* -> c_Hoare__Mirabelle_Ohoare__derivs(y,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(x)),c_Hoare__Mirabelle_Otriple_Otriple(u,c_Com_Ocom_OBODY(v),w,x)),x).
% 299.97/300.56 73581[0:Con:73490.1] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),u),v_x)))*.
% 299.97/300.56 73673[0:SSi:73669.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),c_False))* -> .
% 299.97/300.56 73577[0:Con:73491.1] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_fequal(t_a),v_x),v_x)))*.
% 299.97/300.56 835[0:Rew:699.0,583.1,662.0,583.1,699.0,583.0,662.0,583.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v,w,x,t_a)),t_a)*+ -> hBOOL(hAPP(hAPP(y,v_sko__Hoare__Mirabelle__Xconseq12__1(y,v,z,x)),v_sko__Hoare__Mirabelle__Xconseq12__2(y,v,z,x)))* c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(y,w,z,t_a)),t_a)*.
% 299.97/300.57 34558[0:SSi:34549.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),v)**.
% 299.97/300.57 34557[0:SSi:34548.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),u)**.
% 299.97/300.57 70332[0:SpL:8856.0,62246.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,u,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool))* -> .
% 299.97/300.57 70331[0:SpL:9030.0,62246.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool))* -> .
% 299.97/300.57 833[0:Rew:699.0,535.1,662.0,535.1,699.0,535.0,662.0,535.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(w,x,v),y,w,v)),v) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),c_Hoare__Mirabelle_Otriple_Otriple(w,c_Com_Ocom_OWhile(x,y),c_Hoare__Mirabelle_Opeek__and(w,c_Fun_Ocomp(c_Not,x,tc_bool,tc_bool,tc_Com_Ostate),v),v)),v)*.
% 299.97/300.57 70116[0:SpL:8856.0,62244.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,u,tc_bool))* -> .
% 299.97/300.57 70115[0:SpL:9030.0,62244.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,u,tc_bool))* -> .
% 299.97/300.57 69089[0:SpR:65131.0,59170.1] || equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))** -> equal(u,c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.57 68995[0:SpL:64010.0,63651.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 832[0:Rew:699.0,365.1,662.0,365.1,699.0,365.0,662.0,365.0] || c_Hoare__Mirabelle_Ohoare__valids(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(w,x,v),y,w,v)),v) -> c_Hoare__Mirabelle_Ohoare__valids(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),c_Hoare__Mirabelle_Otriple_Otriple(w,c_Com_Ocom_OWhile(x,y),c_Hoare__Mirabelle_Opeek__and(w,c_Fun_Ocomp(c_Not,x,tc_bool,tc_bool,tc_Com_Ostate),v),v)),v)*.
% 299.97/300.57 65959[0:SpL:61328.1,9496.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(hAPP(c_fequal(tc_bool),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.57 65136[0:SSi:65135.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 65134[0:SSi:65133.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 65101[2:Res:65013.0,53092.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),u),c_False)** -> .
% 299.97/300.57 99[0:Inp] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(hAPP(c_lessequals(u),w),x)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,x,u)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,x,u))**.
% 299.97/300.57 64015[0:SSi:64014.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 64013[0:SSi:64012.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 63987[2:Res:63911.0,53092.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),c_False)** -> .
% 299.97/300.57 62273[0:Rew:62049.0,60000.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.57 100[0:Inp] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(hAPP(c_lessequals(u),w),x)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u)),c_SetInterval_Oord__class_OatLeastLessThan(w,x,u)),c_SetInterval_Oord__class_OatLeastLessThan(v,x,u))**.
% 299.97/300.57 62270[0:Rew:62049.0,59275.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.57 62267[0:Rew:62049.0,59019.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.57 62263[0:Rew:62049.0,58633.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.57 61400[0:SpL:49966.1,11215.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,v,tc_bool))* -> .
% 299.97/300.57 205[0:Inp] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(hAPP(c_lessequals(u),w),x)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(w,x,u)),c_SetInterval_Oord__class_OatLeastAtMost(v,x,u))**.
% 299.97/300.57 61395[0:SpL:49966.1,4286.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.57 50386[2:SpR:47834.1,676.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v))*.
% 299.97/300.57 49266[2:Res:9619.0,47875.1] || equal(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),v),c_False)** -> .
% 299.97/300.57 49265[2:Res:9852.0,47875.1] || equal(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),v),c_False)** -> .
% 299.97/300.57 206[0:Inp] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(hAPP(c_lessequals(u),w),x)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,x,u)),c_SetInterval_Oord__class_OatLeastAtMost(v,x,u))**.
% 299.97/300.57 49257[2:Res:4252.0,47875.1] || equal(c_in(c_False,hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v),c_False)** -> .
% 299.97/300.57 49086[2:Res:3226.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_False),c_False)** -> .
% 299.97/300.57 68122[0:SpR:65071.0,59170.1] || equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)),c_Orderings_Otop__class_Otop(tc_bool))** -> equal(u,c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.57 68028[0:SpL:63959.0,63651.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 215[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(v,w,u),x)),hAPP(c_Set_Oimage(v,w,u),y)))* c_Fun_Oinj__on(v,c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),w,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),x),y)).
% 299.97/300.57 65934[0:SpL:61328.1,9495.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(hAPP(c_lessequals(tc_bool),c_False),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.57 65076[0:SSi:65075.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 65074[0:SSi:65073.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 65041[2:Res:64949.0,53092.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u))),u),c_False)** -> .
% 299.97/300.57 810[0:Rew:662.0,103.5] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(u),w,u)))*+ hBOOL(c_in(x,w,u))* c_Finite__Set_Ofinite(w,u) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x))* equal(w,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.57 63964[0:SSi:63963.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)),u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 63962[0:SSi:63961.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)),u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 63936[2:Res:63857.0,53092.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u))),c_False)** -> .
% 299.97/300.57 818[0:Rew:699.0,300.1,662.0,300.1] || hBOOL(c_in(u,v,w)) -> equal(hAPP(c_Set_Oinsert(x,y),hAPP(c_Set_Oimage(z,w,y),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_fequal(w),u)))),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(z,u,x,w,y),w,y),v))**.
% 299.97/300.57 62118[0:Rew:62049.0,13698.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> equal(c_Orderings_Otop__class_Otop(tc_bool),u).
% 299.97/300.57 70071[0:SpR:712.1,70064.0] class_Orderings_Oorder(u) || -> c_Fun_Oinj__on(v,c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),u,x)*.
% 299.97/300.57 70064[0:MRR:70063.0,70063.1,665.0,666.0] || -> c_Fun_Oinj__on(u,hAPP(c_fequal(v),w),v,x)*.
% 299.97/300.57 815[0:Rew:699.0,299.2,662.0,299.2] || c_Fun_Oinj__on(u,v,w,x) -> hBOOL(c_in(hAPP(u,y),hAPP(c_Set_Oimage(u,w,x),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_fequal(w),y))),x))* c_Fun_Oinj__on(u,hAPP(c_Set_Oinsert(y,w),v),w,x).
% 299.97/300.57 62117[0:Rew:62049.0,13697.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> equal(c_Orderings_Otop__class_Otop(tc_bool),u).
% 299.97/300.57 61332[0:SpR:49966.1,10486.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 50464[2:SpL:47834.1,971.0] || hBOOL(u) hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))))* -> .
% 299.97/300.57 49264[2:Res:8971.0,47875.1] || equal(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v),c_False)** -> .
% 299.97/300.57 202[0:Inp] || hBOOL(c_in(u,v,w))*+ -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_COMBB(c_Set_Oinsert(x,y),z,tc_fun(y,tc_bool),tc_fun(y,tc_bool),w),w,tc_fun(y,tc_bool)),hAPP(c_Set_Oinsert(x,y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,z,w,tc_fun(y,tc_bool))))**.
% 299.97/300.57 49258[2:Res:8798.0,47875.1] || equal(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v),c_False)** -> .
% 299.97/300.57 49198[2:Res:13271.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_False),c_False)** -> .
% 299.97/300.57 49197[2:Res:10493.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_False),c_False)** -> .
% 299.97/300.57 49156[2:Res:26200.0,47875.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),u),v_x)),v),c_False)** -> .
% 299.97/300.57 807[0:Rew:662.0,208.1] || -> equal(u,c_COMBK(c_False,tc_bool,v)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_COMBB(c_Set_Oinsert(w,x),y,tc_fun(x,tc_bool),tc_fun(x,tc_bool),v),v,tc_fun(x,tc_bool)),hAPP(c_Set_Oinsert(w,x),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,y,v,tc_fun(x,tc_bool))))**.
% 299.97/300.57 49152[2:Res:26073.0,47875.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),v),v_x)),c_False)** -> .
% 299.97/300.57 58437[0:SpR:58351.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),u,u,v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))**.
% 299.97/300.57 49226[2:Res:3579.0,47875.1] || equal(c_in(u,hAPP(c_Set_Oinsert(v,w),hAPP(c_fequal(w),u)),w),c_False)** -> .
% 299.97/300.57 245[0:Inp] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(v,w,u),x),tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(v,w,u),y))),hAPP(c_Set_Oimage(v,w,u),hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(w,tc_bool)),y))))*.
% 299.97/300.57 49184[2:Res:6050.0,47875.1] || equal(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x)),w),c_False)** -> .
% 299.97/300.57 49250[2:Res:4138.1,47875.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) equal(c_in(w,u,v),c_False)** -> .
% 299.97/300.57 65131[0:SSi:65124.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),u)**.
% 299.97/300.57 64010[0:SSi:64002.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),u)**.
% 299.97/300.57 122[0:Inp] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x,tc_fun(v,tc_bool),tc_fun(v,tc_bool),y),y,tc_fun(v,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,x,y,tc_fun(v,tc_bool))))**.
% 299.97/300.57 61331[0:SpR:49966.1,9725.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*.
% 299.97/300.57 61330[0:SpR:49966.1,9425.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*.
% 299.97/300.57 50473[2:SpL:47834.1,673.0] || hBOOL(u) hBOOL(hAPP(c_Finite__Set_Ofold1Set(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_bool),w))* -> .
% 299.97/300.57 49256[2:Res:4251.1,47875.1] class_Orderings_Obot(u) || equal(c_in(c_False,hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v),c_False)** -> .
% 299.97/300.57 828[0:Rew:699.0,586.2,662.0,586.2,699.0,586.1,662.0,586.1] || hBOOL(hAPP(hAPP(u,v_sko__Hoare__Mirabelle__Xconseq1__1(v,u)),v_sko__Hoare__Mirabelle__Xconseq1__2(v,u)))* c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(u,x,y,t_a)),t_a)*+ -> c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v,x,y,t_a)),t_a)*.
% 299.97/300.57 49252[2:Res:6094.1,47875.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_in(c_False,hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v),c_False)** -> .
% 299.97/300.57 65071[0:SSi:65064.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u))),u)**.
% 299.97/300.57 63959[0:SSi:63951.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u))),u)**.
% 299.97/300.57 63668[0:SpR:58781.1,54831.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),c_Orderings_Otop__class_Otop(tc_bool))** -> equal(c_Orderings_Otop__class_Otop(tc_bool),u).
% 299.97/300.57 829[0:Rew:699.0,588.2,662.0,588.2,699.0,588.1,662.0,588.1] || hBOOL(hAPP(hAPP(u,v_sko__Hoare__Mirabelle__Xconseq2__1(u,v)),v_sko__Hoare__Mirabelle__Xconseq2__2(u,v)))* c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(x,y,v,t_a)),t_a)*+ -> c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(x,y,u,t_a)),t_a)*.
% 299.97/300.57 63651[0:SpR:58781.1,54075.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),c_Orderings_Otop__class_Otop(tc_bool))** -> equal(c_Orderings_Otop__class_Otop(tc_bool),v).
% 299.97/300.57 62272[0:Rew:62049.0,59999.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 62271[0:Rew:62049.0,59998.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 62269[0:Rew:62049.0,59274.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 235[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),x),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),x)),w))*.
% 299.97/300.57 62266[0:Rew:62049.0,59018.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 62262[0:Rew:62049.0,58632.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 62135[0:Rew:62049.0,58631.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 62296[0:Rew:62049.0,62071.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 508[0:Inp] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,w,x,tc_fun(u,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,w,x,tc_fun(u,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),v),y),w,x,tc_fun(u,tc_bool)))**.
% 299.97/300.57 62295[0:Rew:62049.0,62070.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 61392[0:SpL:49966.1,666.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_bool))* -> .
% 299.97/300.57 61329[0:SpR:49966.1,8938.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*.
% 299.97/300.57 61328[0:SpR:49966.1,8783.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*.
% 299.97/300.57 93[0:Inp] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x))))*.
% 299.97/300.57 65013[0:SSi:64957.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),u))*.
% 299.97/300.57 64949[0:SpR:699.0,59997.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u))),u))*.
% 299.97/300.57 59997[0:SSi:59956.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))),u))*.
% 299.97/300.57 59964[2:Res:59787.0,53092.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),u),c_False)** -> .
% 299.97/300.57 92[0:Inp] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))))*.
% 299.97/300.57 59248[2:Res:59165.0,53092.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),c_False)** -> .
% 299.97/300.57 64263[0:MRR:64262.1,927.0] || equal(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)),c_Orderings_Otop__class_Otop(tc_bool))** -> hBOOL(u).
% 299.97/300.57 59170[0:SSi:59151.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 63990[0:Res:63911.0,13695.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 826[0:Rew:699.0,582.1,662.0,582.1,699.0,582.0,662.0,582.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v,w,x,t_a)),t_a)*+ -> hBOOL(hAPP(hAPP(x,v_sko__Hoare__Mirabelle__Xconseq2__1(y,x)),v_sko__Hoare__Mirabelle__Xconseq2__2(y,x)))* c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v,w,y,t_a)),t_a)*.
% 299.97/300.57 63911[0:SSi:63865.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))))*.
% 299.97/300.57 63857[0:SpR:699.0,59016.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u))))*.
% 299.97/300.57 59016[0:SSi:58983.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))))*.
% 299.97/300.57 58991[2:Res:58777.0,53092.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),c_False)** -> .
% 299.97/300.57 827[0:Rew:699.0,584.1,662.0,584.1,699.0,584.0,662.0,584.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v,w,x,t_a)),t_a)*+ -> hBOOL(hAPP(hAPP(y,v_sko__Hoare__Mirabelle__Xconseq1__1(y,v)),v_sko__Hoare__Mirabelle__Xconseq1__2(y,v)))* c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(y,w,x,t_a)),t_a)*.
% 299.97/300.57 58781[0:SSi:58763.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 62116[0:Rew:62049.0,13696.1] || -> equal(c_Orderings_Otop__class_Otop(tc_bool),u) equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 510[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),x)) -> equal(hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(u,tc_bool)),v)),v)**.
% 299.97/300.57 62103[0:Rew:62049.0,12638.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.57 62121[0:Rew:62049.0,28086.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.57 336[0:Inp] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)),hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(u,tc_bool)),w)),hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),x),tc_fun(u,tc_bool)),w))**.
% 299.97/300.57 62120[0:Rew:62049.0,28085.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.57 62102[0:Rew:62049.0,12636.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(c_Orderings_Otop__class_Otop(tc_bool),u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 62282[0:Rew:62049.0,62051.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_Orderings_Otop__class_Otop(tc_bool),u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 62119[0:Rew:62049.0,28084.0] || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 813[0:Rew:699.0,318.1,662.0,318.1] || hBOOL(c_in(u,v,w)) c_Finite__Set_Ofold__graph(x,y,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_fequal(w),u)),z,w,x1)*+ -> c_Finite__Set_Ofold__graph(x,y,v,hAPP(hAPP(x,u),z),w,x1)*.
% 299.97/300.57 62049[0:SpR:1118.0,58631.0] || -> equal(c_COMBK(c_False,tc_bool,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 58598[2:Res:58395.0,53092.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),v),c_False)** -> .
% 299.97/300.57 49267[2:Res:44148.1,47875.1] || equal(c_False,u) equal(c_in(c_False,hAPP(c_lessequals(tc_bool),u),v),c_False)** -> .
% 299.97/300.57 812[0:Rew:699.0,313.0,662.0,313.0] || hBOOL(c_in(u,v,w)) c_Nitpick_Ofold__graph_H(x,y,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_fequal(w),u)),z,w,x1)*+ -> c_Nitpick_Ofold__graph_H(x,y,v,hAPP(hAPP(x,u),z),w,x1)*.
% 299.97/300.57 49114[2:Res:9851.0,47875.1] || equal(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),v),c_False)** -> .
% 299.97/300.57 49112[2:Res:9618.0,47875.1] || equal(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),v),c_False)** -> .
% 299.97/300.57 49063[2:Res:464.0,47875.1] || equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_False)** -> .
% 299.97/300.57 49047[2:Res:676.0,47875.1] || equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v),c_False)** -> .
% 299.97/300.57 219[0:Inp] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_COMBB(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x,tc_fun(w,tc_bool),tc_fun(w,tc_bool),y),y,tc_fun(w,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,x,y,tc_fun(w,tc_bool))))**.
% 299.97/300.57 61406[1:SpL:49966.1,41120.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(v_x,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),t_a))* -> .
% 299.97/300.57 61326[0:SpR:49966.1,3179.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),c_False)**.
% 299.97/300.57 51111[2:SpL:50421.1,23832.0] || hBOOL(u) equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.57 50385[2:SpR:47834.1,593.0] || hBOOL(u) -> c_Wellfounded_OwfP(c_COMBK(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool),tc_bool),tc_bool)*.
% 299.97/300.57 420[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(x,y,u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),y)).
% 299.97/300.57 61314[0:SpR:49966.1,665.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> c_Fun_Oinj__on(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_bool,w)*.
% 299.97/300.57 61339[0:SpR:49966.1,657.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v),c_False)**.
% 299.97/300.57 61327[0:SpR:49966.1,5206.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_bool),c_False)**.
% 299.97/300.57 61291[0:SpR:49966.1,669.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_bool)*.
% 299.97/300.57 421[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(x,y,u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),x),v)).
% 299.97/300.57 49961[2:Res:46240.1,47875.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u),c_False)** -> .
% 299.97/300.57 49147[2:Res:13341.0,47875.1] || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)),c_False)** -> equal(c_Orderings_Otop__class_Otop(tc_bool),u).
% 299.97/300.57 49142[2:Res:12803.0,47875.1] || equal(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),c_False),c_False)** -> .
% 299.97/300.57 95[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(x,y,u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),y)).
% 299.97/300.57 49113[2:Res:8970.0,47875.1] || equal(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v),c_False)** -> .
% 299.97/300.57 49111[2:Res:8797.0,47875.1] || equal(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v),c_False)** -> .
% 299.97/300.57 49155[2:Res:26226.0,47875.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),u),c_False)** -> .
% 299.97/300.57 96[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(x,y,u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),x),v)).
% 299.97/300.57 49153[2:Res:26168.0,47875.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),c_False)** -> .
% 299.97/300.57 50416[2:SpR:47834.1,664.0] || hBOOL(u) -> c_Finite__Set_Ofold__graph(v,w,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),w,tc_bool,x)*.
% 299.97/300.57 50415[2:SpR:47834.1,663.0] || hBOOL(u) -> c_Nitpick_Ofold__graph_H(v,w,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),w,tc_bool,x)*.
% 299.97/300.57 49440[2:SpL:418.1,49222.0] || hBOOL(c_in(u,v,w))* equal(c_in(u,v,w),c_False) -> .
% 299.97/300.57 419[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(hAPP(c_lessequals(u),x),y)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(w,x,u)),c_SetInterval_Oord__class_OatLeastAtMost(v,y,u)))*.
% 299.97/300.57 49232[2:Res:1074.1,47875.1] class_Orderings_Oorder(u) || equal(c_in(v,c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),u),c_False)** -> .
% 299.97/300.57 49261[2:Res:4249.1,47875.1] || hBOOL(u) equal(c_in(c_False,c_COMBK(u,v,w),x),c_False)** -> .
% 299.97/300.57 49183[2:Res:3578.0,47875.1] || equal(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w)),w),c_False)** -> .
% 299.97/300.57 804[0:Rew:662.0,304.4] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) c_Finite__Set_Ofinite(w,u) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Finite__Set_Olinorder__class_OMax(v,u)),c_Finite__Set_Olinorder__class_OMax(w,u)))* equal(v,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.57 55008[2:SpL:9425.0,47836.1] || hBOOL(u) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,u,tc_bool))* -> .
% 299.97/300.57 805[0:Rew:662.0,305.4] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) c_Finite__Set_Ofinite(w,u) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Finite__Set_Olinorder__class_OMin(w,u)),c_Finite__Set_Olinorder__class_OMin(v,u)))* equal(v,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.57 55007[2:SpL:9725.0,47836.1] || hBOOL(u) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,u,tc_bool))* -> .
% 299.97/300.57 54997[2:SpL:9425.0,47835.1] || hBOOL(u) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,u,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool))* -> .
% 299.97/300.57 54996[2:SpL:9725.0,47835.1] || hBOOL(u) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool))* -> .
% 299.97/300.57 54837[0:Rew:54836.0,54827.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),u)**.
% 299.97/300.57 129[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(v,u,u),w)),w))* c_Finite__Set_Ofinite(w,u) c_Fun_Oinj__on(v,w,u,u) -> equal(hAPP(c_Set_Oimage(v,u,u),w),w).
% 299.97/300.57 54836[0:SSi:54835.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),u)**.
% 299.97/300.57 59787[0:SpR:54831.0,58777.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),u))*.
% 299.97/300.57 54831[0:SSi:54830.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),u),u)**.
% 299.97/300.57 54440[0:SSi:54439.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),u)**.
% 299.97/300.57 90[0:Inp] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u)),c_SetInterval_Oord__class_OatLeastLessThan(x,y,u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v)) hBOOL(hAPP(hAPP(c_lessequals(u),w),y)).
% 299.97/300.57 54075[0:Rew:54074.0,54066.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),v),v)**.
% 299.97/300.57 59165[0:SSi:59053.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)))*.
% 299.97/300.57 54074[0:SSi:54073.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),v),v)**.
% 299.97/300.57 58777[0:SSi:58666.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))*.
% 299.97/300.57 91[0:Inp] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u)),c_SetInterval_Oord__class_OatLeastLessThan(x,y,u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v)) hBOOL(hAPP(hAPP(c_lessequals(u),x),v)).
% 299.97/300.57 54071[0:Rew:54070.0,54063.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),u),u)**.
% 299.97/300.57 58395[0:SSi:58312.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),v))*.
% 299.97/300.57 58351[0:SpR:12624.0,54070.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),u),u)**.
% 299.97/300.57 54070[0:SSi:54069.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),u)**.
% 299.97/300.57 98[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),x),y)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(x,y,u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)))*.
% 299.97/300.57 53118[2:Res:4138.1,49352.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))*+ equal(hAPP(u,w),c_False)** -> .
% 299.97/300.57 50479[2:SpL:47834.1,10872.0] || hBOOL(u) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.57 49062[2:Res:465.1,47875.1] class_Orderings_Otop(u) || equal(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Otop__class_Otop(u)),c_False)** -> .
% 299.97/300.57 49058[2:Res:5848.1,47875.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Otop__class_Otop(u)),c_False)** -> .
% 299.97/300.57 285[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,x,y,tc_fun(u,tc_bool))))*+ hBOOL(c_in(z,w,y))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(x,z)))*.
% 299.97/300.57 49044[2:Res:368.1,47875.1] class_Orderings_Obot(u) || equal(hAPP(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v),c_False)** -> .
% 299.97/300.57 49040[2:Res:5772.1,47875.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v),c_False)** -> .
% 299.97/300.57 287[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,w,x,tc_fun(u,tc_bool))),y))*+ hBOOL(c_in(z,v,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(w,z)),y))*.
% 299.97/300.57 502[0:Inp] || equal(hAPP(u,hAPP(v,w)),hAPP(v,w))**+ c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,c_Fun_Ocomp(x1,u,y,y,y)),w),hAPP(hAPP(x,x1),w))**.
% 299.97/300.57 55010[2:SpL:8783.0,47836.1] || hBOOL(u) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,u,tc_bool))* -> .
% 299.97/300.57 55009[2:SpL:8938.0,47836.1] || hBOOL(u) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,u,tc_bool))* -> .
% 299.97/300.57 110[0:Inp] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_COMBB(c_Set_Oimage(v,w,x),y,tc_fun(w,tc_bool),tc_fun(x,tc_bool),z),z,tc_fun(x,tc_bool)),hAPP(c_Set_Oimage(v,w,x),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,y,z,tc_fun(w,tc_bool))))**.
% 299.97/300.57 54999[2:SpL:8783.0,47835.1] || hBOOL(u) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,u,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool))* -> .
% 299.97/300.57 54998[2:SpL:8938.0,47835.1] || hBOOL(u) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool))* -> .
% 299.97/300.57 51124[2:SpL:50421.1,9496.0] || hBOOL(u) equal(hAPP(c_fequal(tc_bool),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.57 50480[2:SpL:47834.1,11215.0] || hBOOL(u) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,v,tc_bool))* -> .
% 299.97/300.57 809[0:Rew:699.0,298.0,662.0,298.0] || hBOOL(c_in(hAPP(u,v),hAPP(c_Set_Oimage(u,w,x),hAPP(c_HOL_Ominus__class_Ominus(y,tc_fun(w,tc_bool)),hAPP(c_fequal(w),v))),x))* c_Fun_Oinj__on(u,hAPP(c_Set_Oinsert(v,w),y),w,x) -> .
% 299.97/300.57 50475[2:SpL:47834.1,4286.0] || hBOOL(u) equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.57 49143[2:Res:4008.0,47875.1] || equal(hAPP(hAPP(c_Set_Oinsert(u,v),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_False),c_False)** -> .
% 299.97/300.57 49125[2:Res:28232.1,47875.1] || equal(c_False,u) equal(hAPP(hAPP(c_lessequals(tc_bool),u),v),c_False)** -> .
% 299.97/300.57 515[0:Inp] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(v,w,u),x)),hAPP(c_Set_Oimage(v,w,u),y)),hAPP(c_Set_Oimage(v,w,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),y)))**.
% 299.97/300.57 363[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)),x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x)))*.
% 299.97/300.57 51105[2:SpL:50421.1,9495.0] || hBOOL(u) equal(hAPP(c_lessequals(tc_bool),c_False),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.57 362[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)),x)).
% 299.97/300.57 50921[2:Rew:279.0,50857.0] || hBOOL(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))* equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> .
% 299.97/300.57 269[0:Inp] || hBOOL(c_in(u,v,w))* equal(c_Product__Type_OSigma(x,c_COMBK(v,tc_fun(w,tc_bool),y),y,w),c_Product__Type_OSigma(z,c_COMBK(v,tc_fun(w,tc_bool),y),y,w))*+ -> equal(x,z).
% 299.97/300.57 50913[2:Rew:708.0,50819.0] || hBOOL(c_COMBK(c_False,tc_bool,u))* equal(c_COMBK(c_False,tc_bool,u),c_False) -> .
% 299.97/300.57 15[0:Inp] class_HOL_Oord(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(v,u)),w),x))*+ -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(v,u)),x),w))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,u)),w),x)).
% 299.97/300.57 50425[2:SpR:47834.1,10486.0] || hBOOL(u) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 49965[0:SSi:49959.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* -> .
% 299.97/300.57 49140[2:Res:4015.0,47875.1] || equal(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_lessequals(tc_bool),c_False)),c_False),c_False)** -> .
% 299.97/300.57 45[0:Inp] class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))**.
% 299.97/300.57 143[0:Inp] class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)))**.
% 299.97/300.57 46287[0:SSi:46286.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(v_x) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,v_x,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v_x,c_False,tc_bool))** -> .
% 299.97/300.57 46285[0:SSi:46284.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(v_x) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,v_x,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v_x,c_False,tc_bool))** -> .
% 299.97/300.57 53696[2:Rew:357.1,53189.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u))* equal(c_Orderings_Otop__class_Otop(u),c_False) -> .
% 299.97/300.57 44[0:Inp] class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)),w))**.
% 299.97/300.57 53695[2:Rew:441.1,53188.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u))* equal(c_Orderings_Obot__class_Obot(u),c_False) -> .
% 299.97/300.57 53680[2:Rew:540.1,53194.2] class_Orderings_Obot(u) || hBOOL(c_Orderings_Obot__class_Obot(u))* equal(c_Orderings_Obot__class_Obot(u),c_False) -> .
% 299.97/300.57 53679[2:Rew:443.1,53193.2] class_Orderings_Otop(u) || hBOOL(c_Orderings_Otop__class_Otop(u))* equal(c_Orderings_Otop__class_Otop(u),c_False) -> .
% 299.97/300.57 53715[2:Rew:13272.0,53253.1] || hBOOL(c_Complete__Lattice_OSup__class_OSup(tc_bool))* equal(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_False) -> .
% 299.97/300.57 144[0:Inp] class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x)),w))**.
% 299.97/300.57 53714[2:Rew:10494.0,53252.1] || hBOOL(c_Complete__Lattice_OInf__class_OInf(tc_bool))* equal(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_False) -> .
% 299.97/300.57 53092[2:Res:253.1,49352.0] || hBOOL(hAPP(u,v))* equal(hAPP(u,v),c_False) -> .
% 299.97/300.57 49352[2:SpL:418.1,49051.0] || hBOOL(c_in(u,v,w))* equal(hAPP(v,u),c_False) -> .
% 299.97/300.57 49224[2:Res:253.1,47875.1] || hBOOL(hAPP(u,v)) equal(c_in(v,u,w),c_False)** -> .
% 299.97/300.57 38[0:Inp] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(hAPP(c_lessequals(u),v),x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))*.
% 299.97/300.57 49056[2:Res:701.0,47875.1] || equal(hAPP(c_Finite__Set_Ofold1Set(u,hAPP(c_fequal(v),w),v),w),c_False)** -> .
% 299.97/300.57 49050[2:Res:1003.1,47875.1] class_Orderings_Oorder(u) || equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),v),c_False)** -> .
% 299.97/300.57 50424[2:SpR:47834.1,9725.0] || hBOOL(u) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*.
% 299.97/300.57 50423[2:SpR:47834.1,9425.0] || hBOOL(u) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*.
% 299.97/300.57 230[0:Inp] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(hAPP(c_lessequals(u),x),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x)),w))*.
% 299.97/300.57 49039[2:Res:495.1,47875.1] class_Orderings_Opreorder(u) || equal(hAPP(hAPP(c_lessequals(u),v),v),c_False)** -> .
% 299.97/300.57 49038[2:Res:494.1,47875.1] class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_lessequals(u),v),v),c_False)** -> .
% 299.97/300.57 49037[2:Res:1279.1,47875.1] class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_lessequals(u),v),v),c_False)** -> .
% 299.97/300.57 49036[2:Res:1319.1,47875.1] class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_lessequals(u),v),v),c_False)** -> .
% 299.97/300.57 244[0:Inp] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),x)))*.
% 299.97/300.57 49035[2:Res:1811.1,47875.1] class_Lattices_Olattice(u) || equal(hAPP(hAPP(c_lessequals(u),v),v),c_False)** -> .
% 299.97/300.57 49034[2:Res:2901.1,47875.1] class_Orderings_Olinorder(u) || equal(hAPP(hAPP(c_lessequals(u),v),v),c_False)** -> .
% 299.97/300.57 50910[2:Rew:186.1,50852.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u))* equal(c_Orderings_Obot__class_Obot(u),c_False) -> .
% 299.97/300.57 50909[2:Rew:278.1,50841.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u))* equal(c_Orderings_Otop__class_Otop(u),c_False) -> .
% 299.97/300.57 243[0:Inp] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x)))**.
% 299.97/300.57 50472[2:SpL:47834.1,666.0] || hBOOL(u) hBOOL(c_in(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_bool))* -> .
% 299.97/300.57 50422[2:SpR:47834.1,8938.0] || hBOOL(u) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*.
% 299.97/300.57 50421[2:SpR:47834.1,8783.0] || hBOOL(u) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*.
% 299.97/300.57 49055[2:Res:533.1,47875.1] || hBOOL(hAPP(u,c_False)) equal(hAPP(u,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(u)),c_False)** -> .
% 299.97/300.57 180[0:Inp] class_OrderedGroup_Ocomm__monoid__add(u) || c_Fun_Oinj__on(v,w,x,y) -> equal(c_Finite__Set_Osetsum(z,hAPP(c_Set_Oimage(v,x,y),w),y,u),c_Finite__Set_Osetsum(c_Fun_Ocomp(z,v,y,u,x),w,x,u))*.
% 299.97/300.57 50484[2:SpL:47834.1,41120.0] || hBOOL(u) hBOOL(c_in(v_x,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),t_a))* -> .
% 299.97/300.57 50419[2:SpR:47834.1,3179.0] || hBOOL(u) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),c_False)**.
% 299.97/300.57 49146[2:Res:13340.0,47875.1] || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u),c_False)** -> equal(u,c_False).
% 299.97/300.57 49144[2:Res:47802.1,47875.1] || hBOOL(u) equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u),c_False)** -> .
% 299.97/300.57 108[0:Inp] || equal(hAPP(c_Set_Oimage(u,v,w),x),hAPP(c_Set_Oimage(u,v,w),y)) c_Fun_Oinj__on(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),y),v,w)* -> equal(x,y).
% 299.97/300.57 50407[2:SpR:47834.1,665.0] || hBOOL(u) -> c_Fun_Oinj__on(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_bool,w)*.
% 299.97/300.57 50431[2:SpR:47834.1,657.0] || hBOOL(u) -> equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v),c_False)**.
% 299.97/300.57 50420[2:SpR:47834.1,5206.0] || hBOOL(u) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_bool),c_False)**.
% 299.97/300.57 50384[2:SpR:47834.1,669.0] || hBOOL(u) -> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_bool)*.
% 299.97/300.57 118[0:Inp] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_COMBB(c_Set_Oinsert(v,w),x,tc_fun(w,tc_bool),tc_fun(w,tc_bool),y),y,tc_fun(w,tc_bool)),hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,x,y,tc_fun(w,tc_bool))))**.
% 299.97/300.57 46240[0:SSi:46239.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))*.
% 299.97/300.57 294[0:Inp] || hBOOL(c_in(u,v,w)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),hAPP(y,u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,y,w,tc_fun(x,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,y,w,tc_fun(x,tc_bool)))**.
% 299.97/300.57 49222[2:Res:416.0,47875.1] || equal(c_in(u,hAPP(c_Set_Oinsert(u,v),w),v),c_False)** -> .
% 299.97/300.57 49033[2:Res:491.0,47875.1] || equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),v),c_False)** -> .
% 299.97/300.57 66[0:Inp] class_OrderedGroup_Opordered__ab__group__add(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* equal(hAPP(c_HOL_Ominus__class_Ominus(v,u),w),hAPP(c_HOL_Ominus__class_Ominus(x,u),y))*+ -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),y))*.
% 299.97/300.57 49262[2:Res:13613.0,47875.1] || equal(c_in(c_False,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u),c_False)** -> .
% 299.97/300.57 49223[2:Res:1055.0,47875.1] || equal(c_in(u,hAPP(c_fequal(v),u),v),c_False)** -> .
% 299.97/300.57 49051[2:Res:598.0,47875.1] || equal(hAPP(hAPP(c_Set_Oinsert(u,v),w),u),c_False)** -> .
% 299.97/300.57 49221[2:Res:422.0,47875.1] || equal(c_in(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),v),c_False)** -> .
% 299.97/300.57 511[0:Inp] class_OrderedGroup_Opordered__ab__group__add(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* equal(hAPP(c_HOL_Ominus__class_Ominus(w,u),v),hAPP(c_HOL_Ominus__class_Ominus(x,u),y))*+ -> hBOOL(hAPP(hAPP(c_lessequals(u),y),x))*.
% 299.97/300.57 49251[2:Res:4246.0,47875.1] || equal(c_in(c_False,c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v),c_False)** -> .
% 299.97/300.57 49243[2:Res:4245.0,47875.1] || equal(c_in(c_False,hAPP(c_lessequals(tc_bool),c_False),u),c_False)** -> .
% 299.97/300.57 49122[2:Res:12623.0,47875.1] || equal(hAPP(hAPP(c_lessequals(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)),c_False)** -> .
% 299.97/300.57 49149[2:Res:28064.0,47875.1] || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_Orderings_Otop__class_Otop(tc_bool)),c_False)** -> .
% 299.97/300.57 227[0:Inp] || c_Complete__Lattice_Ocomplete__lattice(u,v,w,x,y,z,x1,x2,x3) -> c_Complete__Lattice_Ocomplete__lattice(v,u,c_COMBC(w,x3,x3,tc_bool),c_COMBC(x,x3,x3,tc_bool),z,y,x2,x1,x3)*.
% 299.97/300.57 49032[2:Res:659.0,47875.1] || equal(hAPP(hAPP(c_fequal(u),v),v),c_False)** -> .
% 299.97/300.57 49053[2:Res:1318.0,47875.1] || equal(hAPP(hAPP(c_lessequals(tc_bool),u),u),c_False)** -> .
% 299.97/300.57 49052[2:Res:935.0,47875.1] || equal(hAPP(hAPP(c_lessequals(tc_bool),c_False),u),c_False)** -> .
% 299.97/300.57 47875[2:Res:28232.1,47833.1] || equal(c_False,u) hBOOL(u)* -> .
% 299.97/300.57 460[0:Inp] || equal(hAPP(u,hAPP(v,w)),hAPP(x,hAPP(v,w)))*+ c_Record_Oiso__tuple__update__accessor__cong__assist(y,v,z,x1)* -> equal(hAPP(hAPP(y,u),w),hAPP(hAPP(y,x),w))*.
% 299.97/300.57 47833[2:SSi:47829.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* -> .
% 299.97/300.57 47802[2:Spt:46201.0,46201.1] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))*.
% 299.97/300.57 160[0:Inp] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,v,w))* equal(hAPP(y,u),hAPP(y,x))*+ c_Fun_Oinj__on(y,v,w,z)* -> equal(u,x).
% 299.97/300.57 814[0:Rew:699.0,537.1,662.0,537.1,699.0,537.0,662.0,537.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),c_Hoare__Mirabelle_Otriple_Otriple(w,c_Option_Othe(c_Com_Obody(x),tc_Com_Ocom),y,v)),v)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),c_Hoare__Mirabelle_Otriple_Otriple(w,c_Com_Ocom_OBODY(x),y,v)),v).
% 299.97/300.57 104[0:Inp] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(v,x,u),tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u)),c_SetInterval_Oord__class_OatLeastLessThan(w,x,u))**.
% 299.97/300.57 306[0:Inp] class_Complete__Lattice_Ocomplete__lattice(u) || -> c_Complete__Lattice_Ocomplete__lattice(c_Complete__Lattice_OSup__class_OSup(u),c_Complete__Lattice_OInf__class_OInf(u),c_COMBC(c_lessequals(u),u,u,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(u),u,u,tc_bool),c_Lattices_Oupper__semilattice__class_Osup(u),c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u),c_Orderings_Obot__class_Obot(u),u)*.
% 299.97/300.57 34556[0:SSi:34547.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),u)**.
% 299.97/300.57 44775[0:SpL:34.0,44668.0] || equal(u,c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Fun_Ofun__upd(v,c_False,u,w,x),tc_bool),c_False)**.
% 299.97/300.57 44909[0:Obv:44798.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,u),tc_bool),c_False)**.
% 299.97/300.57 513[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(c_Set_Oimage(y,u,x),v)),hAPP(c_Set_Oimage(y,u,x),w)))*.
% 299.97/300.57 44892[0:Obv:44778.1] || hBOOL(c_in(u,c_False,v)) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(u,v),tc_bool),c_False)**.
% 299.97/300.57 44898[0:Obv:44846.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),tc_bool),c_False)**.
% 299.97/300.57 44897[0:Obv:44843.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),tc_bool),c_False)**.
% 299.97/300.57 44895[0:Obv:44841.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),tc_bool),c_False)**.
% 299.97/300.57 470[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) hBOOL(c_in(x,w,u)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(x,u),v)),w))*.
% 299.97/300.57 44893[0:Obv:44812.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),tc_bool),c_False)**.
% 299.97/300.57 44896[0:Obv:44842.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),tc_bool),c_False)**.
% 299.97/300.57 44894[0:Obv:44840.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),tc_bool),c_False)**.
% 299.97/300.57 44899[0:Obv:44859.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),c_False)**.
% 299.97/300.57 146[0:Inp] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))*+ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),w),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),x))*.
% 299.97/300.57 44804[0:SpL:657.0,44668.0] || equal(u,c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_COMBK(u,v,w),tc_bool),c_False)**.
% 299.97/300.57 44885[0:Obv:44774.1] class_Lattices_Obounded__lattice(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),tc_bool),c_False)**.
% 299.97/300.57 44884[0:Obv:44771.1] class_Lattices_Obounded__lattice(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),tc_bool),c_False)**.
% 299.97/300.57 44810[0:SpL:988.0,44668.0] || equal(u,c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),tc_bool),c_False)**.
% 299.97/300.57 492[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))*+ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),x))*.
% 299.97/300.57 44882[0:Obv:44795.1] class_Orderings_Oorder(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),tc_bool),c_False)**.
% 299.97/300.57 45555[0:Obv:45530.0] class_Orderings_Oorder(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_COMBK(c_False,tc_bool,u),tc_bool),c_False)**.
% 299.97/300.57 44881[0:Obv:44793.1] class_Orderings_Oorder(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),tc_bool),c_False)**.
% 299.97/300.57 44879[0:Obv:44768.1] class_Lattices_Olower__semilattice(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_False),tc_bool),c_False)**.
% 299.97/300.57 55[0:Inp] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))*+ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),x))*.
% 299.97/300.57 44878[0:Obv:44767.1] class_Lattices_Olattice(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_False),tc_bool),c_False)**.
% 299.97/300.57 44877[0:Obv:44766.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_False),tc_bool),c_False)**.
% 299.97/300.57 44876[0:Obv:44765.1] class_Lattices_Oupper__semilattice(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_False),tc_bool),c_False)**.
% 299.97/300.57 44875[0:Obv:44764.1] class_Lattices_Olattice(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_False),tc_bool),c_False)**.
% 299.97/300.57 56[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))*+ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),w),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),x))*.
% 299.97/300.57 44874[0:Obv:44763.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_False),tc_bool),c_False)**.
% 299.97/300.57 44861[0:SpL:14872.0,44668.0] || equal(u,c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(u,tc_bool),tc_bool),c_False)**.
% 299.97/300.57 44883[0:Obv:44860.1] || hBOOL(hAPP(c_False,c_False)) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),c_False)**.
% 299.97/300.57 44873[0:Obv:44762.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_False),tc_bool),c_False)**.
% 299.97/300.57 87[0:Inp] || c_Finite__Set_Ofold__graph(u,v,w,x,y,z) -> hBOOL(c_in(x1,w,y)) c_Finite__Set_Ofold__graph(u,v,hAPP(c_Set_Oinsert(x1,y),w),hAPP(hAPP(u,x1),x),y,z)*.
% 299.97/300.57 44870[0:Obv:44829.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),tc_bool),c_False)**.
% 299.97/300.57 44868[0:Obv:44797.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),tc_bool),c_False)**.
% 299.97/300.57 44862[0:Obv:44800.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(c_False,tc_bool),tc_bool),c_False)**.
% 299.97/300.57 44668[0:Res:28274.1,13373.0] || equal(hAPP(u,c_False),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool),c_False).
% 299.97/300.57 259[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(v,w,u),x)),y))*+ hBOOL(c_in(z,x,w))* -> hBOOL(c_in(hAPP(v,z),y,u))*.
% 299.97/300.57 28274[0:SSi:28249.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(u,v),c_False) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool)),v))*.
% 299.97/300.57 44578[0:Rew:699.0,44238.0,685.0,44238.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_fequal(u),v),w,u,tc_fun(x,tc_bool)),hAPP(w,v))**.
% 299.97/300.57 44153[0:Res:44148.1,1152.0] || equal(c_False,u) equal(hAPP(c_lessequals(tc_bool),u),c_COMBK(c_False,tc_bool,v))* -> .
% 299.97/300.57 44156[0:Res:44148.1,12715.0] || equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_bool),u)),c_False)**.
% 299.97/300.57 456[0:Inp] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(u,v),w),x,v,tc_fun(y,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),hAPP(x,u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,x,v,tc_fun(y,tc_bool))))*.
% 299.97/300.57 44148[0:AED:250.0,44145.2] || equal(c_False,u) -> hBOOL(c_in(c_False,hAPP(c_lessequals(tc_bool),u),v))*.
% 299.97/300.57 28240[0:Res:28232.1,1141.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(tc_bool),u)),c_False))*.
% 299.97/300.57 13737[0:SpR:13374.1,13374.1] || -> equal(u,c_False) equal(v,c_False) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*.
% 299.97/300.57 13719[0:SpR:13374.1,677.0] || -> equal(u,c_False) equal(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v)**.
% 299.97/300.57 356[0:Inp] || -> hBOOL(c_in(u,v,w)) equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(u,w),x),tc_fun(w,tc_bool)),v),hAPP(c_Set_Oinsert(u,w),hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(w,tc_bool)),v)))**.
% 299.97/300.57 13568[0:SpR:13495.1,35.0] || hBOOL(hAPP(u,c_False)) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 10476[0:SpR:8858.0,248.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v))*.
% 299.97/300.57 9004[0:SpR:8938.0,1539.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_False))*.
% 299.97/300.57 8983[0:SpR:8938.0,3649.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,tc_bool,tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w))**.
% 299.97/300.57 328[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),x)) hBOOL(c_in(w,v,u)).
% 299.97/300.57 8978[0:SpR:8938.0,709.0] || -> equal(c_Product__Type_OSigma(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,tc_bool,w),c_COMBK(c_False,tc_bool,tc_prod(tc_bool,w)))**.
% 299.97/300.57 8977[0:SpR:8938.0,706.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,tc_bool,tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))**.
% 299.97/300.57 8830[0:SpR:8783.0,1539.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_False))*.
% 299.97/300.57 8810[0:SpR:8783.0,3649.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,tc_bool,tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w))**.
% 299.97/300.57 800[0:MRR:200.2,486.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(x,u),w)))* hBOOL(c_in(x,w,u)).
% 299.97/300.57 8805[0:SpR:8783.0,709.0] || -> equal(c_Product__Type_OSigma(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,tc_bool,w),c_COMBK(c_False,tc_bool,tc_prod(tc_bool,w)))**.
% 299.97/300.57 8804[0:SpR:8783.0,706.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,tc_bool,tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))**.
% 299.97/300.57 41987[0:Res:4138.1,40822.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)))** hBOOL(v_x) -> hBOOL(u).
% 299.97/300.57 795[0:Rew:699.0,556.0,662.0,556.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),tc_fun(v,tc_bool)),hAPP(c_fequal(v),x)),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(x,v),w)))**.
% 299.97/300.57 41982[0:Res:4138.1,40721.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)))** hBOOL(u) -> hBOOL(v_x).
% 299.97/300.57 31910[0:SpL:29742.1,23832.0] || equal(c_False,u) equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool))* -> .
% 299.97/300.57 794[0:Rew:699.0,555.0,662.0,555.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_fequal(v),w)),tc_fun(v,tc_bool)),x),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),x)))**.
% 299.97/300.57 30909[0:SpL:29194.1,23832.0] || equal(c_False,u) equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool))* -> .
% 299.97/300.57 29708[0:SpR:28271.1,593.0] || equal(c_False,u) -> c_Wellfounded_OwfP(c_COMBK(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),tc_fun(tc_bool,tc_bool),tc_bool),tc_bool)*.
% 299.97/300.57 29160[0:SpR:28270.1,593.0] || equal(c_False,u) -> c_Wellfounded_OwfP(c_COMBK(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),tc_fun(tc_bool,tc_bool),tc_bool),tc_bool)*.
% 299.97/300.57 116[0:Inp] || c_Fun_Oinj__on(u,v,w,x) c_Fun_Oinj__on(y,hAPP(c_Set_Oimage(u,w,x),v),x,z)*+ -> c_Fun_Oinj__on(c_Fun_Ocomp(y,u,x,z,w),v,w,z)*.
% 299.97/300.57 26440[0:SpR:418.1,26200.0] || hBOOL(c_in(v_x,u,t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(u,v_x)),v))*.
% 299.97/300.57 789[0:Rew:699.0,553.1,662.0,553.1] || c_Complete__Lattice_Ocomplete__lattice(u,v,w,x,y,z,x1,x2,x3)*+ -> equal(hAPP(u,hAPP(c_Set_Oinsert(x4,x3),hAPP(c_fequal(x3),x5))),hAPP(hAPP(y,x4),x5))*.
% 299.97/300.57 790[0:Rew:699.0,554.1,662.0,554.1] || c_Complete__Lattice_Ocomplete__lattice(u,v,w,x,y,z,x1,x2,x3)*+ -> equal(hAPP(v,hAPP(c_Set_Oinsert(x4,x3),hAPP(c_fequal(x3),x5))),hAPP(hAPP(z,x4),x5))*.
% 299.97/300.57 109[0:Inp] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_COMBB(v,w,x,tc_fun(y,tc_bool),z),z,tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oimage(w,z,x),u),v,x,tc_fun(y,tc_bool)))*.
% 299.97/300.57 120[0:Inp] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(u,v,w),x),y,w,tc_fun(z,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_COMBB(y,u,w,tc_fun(z,tc_bool),v),v,tc_fun(z,tc_bool)))*.
% 299.97/300.57 40822[0:SSi:40754.1,40754.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(v_x,c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),tc_bool))* hBOOL(v_x) -> hBOOL(u).
% 299.97/300.57 40721[0:SSi:40674.1,40674.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(v_x,c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),tc_bool))* hBOOL(u) -> hBOOL(v_x).
% 299.97/300.57 204[0:Inp] || hBOOL(c_in(hAPP(u,v),hAPP(c_Set_Oimage(u,w,x),y),x))*+ c_Fun_Oinj__on(u,c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),w,x)* -> hBOOL(c_in(v,y,w)).
% 299.97/300.57 41135[1:SpL:28270.1,41120.0] || equal(c_False,u) hBOOL(c_in(v_x,c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),t_a))* -> .
% 299.97/300.57 41134[1:SpL:28271.1,41120.0] || equal(c_False,u) hBOOL(c_in(v_x,c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),t_a))* -> .
% 299.97/300.57 41118[1:Res:4138.1,41109.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)))** -> equal(u,c_False).
% 299.97/300.57 41363[1:Res:4138.1,41124.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)))** -> .
% 299.97/300.57 338[0:Inp] || hBOOL(c_in(u,v,w))* equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,x,w,tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)))**+ -> equal(hAPP(x,u),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)))*.
% 299.97/300.57 41331[1:Res:4138.1,41122.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)))** -> .
% 299.97/300.57 41296[1:Res:4138.1,41128.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)))** -> .
% 299.97/300.57 41266[1:Res:4138.1,41126.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)))** -> .
% 299.97/300.57 779[0:Rew:662.0,282.2,662.0,282.0] || hBOOL(c_in(u,v,w))* equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,x,w,tc_fun(y,tc_bool)),c_COMBK(c_False,tc_bool,y))**+ -> equal(hAPP(x,u),c_COMBK(c_False,tc_bool,y))*.
% 299.97/300.57 41124[1:AED:250.0,41123.1] || hBOOL(c_in(v_x,c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),t_a))* -> .
% 299.97/300.57 41122[1:AED:250.0,41121.1] || hBOOL(c_in(v_x,c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),t_a))* -> .
% 299.97/300.57 41128[1:AED:250.0,41127.1] || hBOOL(c_in(v_x,c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),t_a))* -> .
% 299.97/300.57 41126[1:AED:250.0,41125.1] || hBOOL(c_in(v_x,c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),t_a))* -> .
% 299.97/300.57 402[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(x,u),v)),hAPP(c_Set_Oinsert(x,u),w)))*.
% 299.97/300.57 41109[1:Spt:41108.0,37472.0,37472.1] || hBOOL(c_in(v_x,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),t_a))* -> equal(u,c_False).
% 299.97/300.57 131[0:Inp] || -> equal(u,v) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(w,u,x,y,z),v,x1,y,z),c_Fun_Ofun__upd(c_Fun_Ofun__upd(w,v,x1,y,z),u,x,y,z))*.
% 299.97/300.57 40821[0:SSi:40753.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(v_x,hAPP(c_fequal(tc_bool),u),tc_bool))* hBOOL(v_x) -> hBOOL(u).
% 299.97/300.57 43[0:Inp] || c_Fun_Oinj__on(u,v,w,x) -> hBOOL(c_in(y,hAPP(c_Set_Oimage(u,w,x),v),x)) c_Fun_Oinj__on(c_Fun_Ofun__upd(u,z,y,w,x),v,w,x)*.
% 299.97/300.57 40719[0:SSi:40673.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(v_x,hAPP(c_fequal(tc_bool),u),tc_bool))* hBOOL(u) -> hBOOL(v_x).
% 299.97/300.57 406[0:Inp] || c_Complete__Lattice_Ocomplete__lattice(u,v,w,x,y,z,x1,x2,x3)*+ -> equal(hAPP(u,hAPP(c_Set_Oinsert(x4,x3),x5)),hAPP(hAPP(y,x4),hAPP(u,x5)))*.
% 299.97/300.57 40820[0:MRR:40807.2,672.0] || hBOOL(c_in(v_x,c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),tc_bool))* hBOOL(v_x) -> .
% 299.97/300.57 40827[0:Rew:1581.0,40825.0] || hBOOL(hAPP(hAPP(c_fequal(tc_bool),v_x),c_False))* hBOOL(v_x) -> .
% 299.97/300.57 407[0:Inp] || c_Complete__Lattice_Ocomplete__lattice(u,v,w,x,y,z,x1,x2,x3)*+ -> equal(hAPP(v,hAPP(c_Set_Oinsert(x4,x3),x5)),hAPP(hAPP(z,x4),hAPP(v,x5)))*.
% 299.97/300.57 40819[0:MRR:40770.2,672.0] || hBOOL(c_in(v_x,hAPP(c_fequal(tc_bool),c_False),tc_bool))* hBOOL(v_x) -> .
% 299.97/300.57 113[0:Inp] || equal(hAPP(c_Set_Oimage(u,v,w),x),hAPP(c_Set_Oimage(u,v,w),y))*+ c_Fun_Oinj__on(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),v,w)* -> equal(x,y).
% 299.97/300.57 40718[0:MRR:40699.1,927.0] || hBOOL(c_in(v_x,hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),tc_bool))* -> hBOOL(v_x).
% 299.97/300.57 791[0:Rew:699.0,579.0,662.0,579.0] || -> hBOOL(hAPP(hAPP(u,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v,u,w,x)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v,u,w,x)))* c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(u,x,w,t_a)),t_a).
% 299.97/300.57 792[0:Rew:699.0,581.0,662.0,581.0] || -> hBOOL(hAPP(hAPP(u,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v,u,w,x)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v,u,w,x)))* c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(u,x,w,t_a)),t_a).
% 299.97/300.57 38313[0:Res:4138.1,37462.0] || equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)))** -> hBOOL(u).
% 299.97/300.57 793[0:Rew:699.0,589.0,662.0,589.0] || -> hBOOL(hAPP(hAPP(u,v_sko__Hoare__Mirabelle__Xescape__1(v,u,w,x)),v_sko__Hoare__Mirabelle__Xescape__2(v,u,w,x)))* c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(u,x,w,t_a)),t_a).
% 299.97/300.57 97[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(x,y,u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),x),y)).
% 299.97/300.57 127[0:Inp] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)))*.
% 299.97/300.57 37492[0:Res:4138.1,37461.0] || equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)))** -> hBOOL(v_x).
% 299.97/300.57 240[0:Inp] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x)))*.
% 299.97/300.57 126[0:Inp] class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)))*.
% 299.97/300.57 37462[0:SSi:37455.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),t_a))* -> hBOOL(u).
% 299.97/300.57 241[0:Inp] class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x)))*.
% 299.97/300.57 128[0:Inp] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))**.
% 299.97/300.57 37461[0:SSi:37452.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),t_a))* -> hBOOL(v_x).
% 299.97/300.57 26165[0:SpR:418.1,26073.0] || hBOOL(c_in(v_x,u,t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(u,v_x)))*.
% 299.97/300.57 239[0:Inp] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)))**.
% 299.97/300.57 20352[0:SpR:20155.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.57 20230[0:Res:3578.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 25[0:Inp] class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))**.
% 299.97/300.57 29737[0:SpR:28271.1,664.0] || equal(c_False,u) -> c_Finite__Set_Ofold__graph(v,w,c_SetInterval_Oord__class_OatLeastLessThan(x,u,tc_bool),w,tc_bool,y)*.
% 299.97/300.57 29736[0:SpR:28271.1,663.0] || equal(c_False,u) -> c_Nitpick_Ofold__graph_H(v,w,c_SetInterval_Oord__class_OatLeastLessThan(x,u,tc_bool),w,tc_bool,y)*.
% 299.97/300.57 242[0:Inp] class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)))**.
% 299.97/300.57 29189[0:SpR:28270.1,664.0] || equal(c_False,u) -> c_Finite__Set_Ofold__graph(v,w,c_SetInterval_Oord__class_OgreaterThanAtMost(x,u,tc_bool),w,tc_bool,y)*.
% 299.97/300.57 29188[0:SpR:28270.1,663.0] || equal(c_False,u) -> c_Nitpick_Ofold__graph_H(v,w,c_SetInterval_Oord__class_OgreaterThanAtMost(x,u,tc_bool),w,tc_bool,y)*.
% 299.97/300.57 34574[0:SpL:9425.0,28273.1] || equal(c_False,u) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,w,tc_bool))* -> .
% 299.97/300.57 34573[0:SpL:9725.0,28273.1] || equal(c_False,u) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,w,tc_bool))* -> .
% 299.97/300.57 148[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))*+ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),w))*.
% 299.97/300.57 29834[0:SpL:28271.1,10872.0] || equal(c_False,u) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool))* -> .
% 299.97/300.57 29285[0:SpL:28270.1,10872.0] || equal(c_False,u) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool))* -> .
% 299.97/300.57 35965[0:Res:28272.1,17838.0] || equal(c_False,u)*+ -> equal(v,u)* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v))*.
% 299.97/300.57 28272[0:SSi:28252.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v))* equal(v,u).
% 299.97/300.57 484[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))*+ hBOOL(hAPP(hAPP(c_lessequals(u),x),v))* -> hBOOL(hAPP(hAPP(c_lessequals(u),x),w))*.
% 299.97/300.57 34576[0:SpL:8783.0,28273.1] || equal(c_False,u) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,w,tc_bool))* -> .
% 299.97/300.57 34575[0:SpL:8938.0,28273.1] || equal(c_False,u) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,w,tc_bool))* -> .
% 299.97/300.57 31920[0:SpL:29742.1,9496.0] || equal(c_False,u) equal(hAPP(c_fequal(tc_bool),v),c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool))* -> .
% 299.97/300.57 30912[0:SpL:29194.1,9496.0] || equal(c_False,u) equal(hAPP(c_fequal(tc_bool),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool))* -> .
% 299.97/300.57 51[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))*+ hBOOL(hAPP(hAPP(c_lessequals(u),x),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),w))*.
% 299.97/300.57 29835[0:SpL:28271.1,11215.0] || equal(c_False,u) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,w,tc_bool))* -> .
% 299.97/300.57 29830[0:SpL:28271.1,4286.0] || equal(c_False,u) equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool))* -> .
% 299.97/300.57 29286[0:SpL:28270.1,11215.0] || equal(c_False,u) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,w,tc_bool))* -> .
% 299.97/300.57 29281[0:SpL:28270.1,4286.0] || equal(c_False,u) equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool))* -> .
% 299.97/300.57 52[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))*+ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),w))*.
% 299.97/300.57 35267[0:SSi:35247.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),u)**.
% 299.97/300.57 35239[0:SpR:699.0,28358.1] || equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)),u)**.
% 299.97/300.57 28358[0:SSi:28331.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),u)**.
% 299.97/300.57 31904[0:SpL:29742.1,9495.0] || equal(c_False,u) equal(hAPP(c_lessequals(tc_bool),c_False),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool))* -> .
% 299.97/300.57 145[0:Inp] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))*+ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))*.
% 299.97/300.57 30903[0:SpL:29194.1,9495.0] || equal(c_False,u) equal(hAPP(c_lessequals(tc_bool),c_False),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool))* -> .
% 299.97/300.57 29746[0:SpR:28271.1,10486.0] || equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 29198[0:SpR:28270.1,10486.0] || equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 485[0:Inp] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))*+ hBOOL(hAPP(hAPP(c_lessequals(u),w),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x))*.
% 299.97/300.57 28211[0:Res:25994.0,18478.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))*.
% 299.97/300.57 58[0:Inp] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))*+ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))*.
% 299.97/300.57 29745[0:SpR:28271.1,9725.0] || equal(c_False,u) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool))*.
% 299.97/300.57 29744[0:SpR:28271.1,9425.0] || equal(c_False,u) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool))*.
% 299.97/300.57 29197[0:SpR:28270.1,9725.0] || equal(c_False,u) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool))*.
% 299.97/300.57 59[0:Inp] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))*+ hBOOL(hAPP(hAPP(c_lessequals(u),w),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))*.
% 299.97/300.57 29196[0:SpR:28270.1,9425.0] || equal(c_False,u) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool))*.
% 299.97/300.57 29827[0:SpL:28271.1,666.0] || equal(c_False,u) hBOOL(c_in(v,c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool),tc_bool))* -> .
% 299.97/300.57 29743[0:SpR:28271.1,8938.0] || equal(c_False,u) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool))*.
% 299.97/300.57 29742[0:SpR:28271.1,8783.0] || equal(c_False,u) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool))*.
% 299.97/300.57 482[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),x)).
% 299.97/300.57 29278[0:SpL:28270.1,666.0] || equal(c_False,u) hBOOL(c_in(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool),tc_bool))* -> .
% 299.97/300.57 29195[0:SpR:28270.1,8938.0] || equal(c_False,u) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool))*.
% 299.97/300.57 29194[0:SpR:28270.1,8783.0] || equal(c_False,u) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool))*.
% 299.97/300.57 29740[0:SpR:28271.1,3179.0] || equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool)),c_False)**.
% 299.97/300.57 483[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),x)).
% 299.97/300.57 29192[0:SpR:28270.1,3179.0] || equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool)),c_False)**.
% 299.97/300.57 29728[0:SpR:28271.1,665.0] || equal(c_False,u) -> c_Fun_Oinj__on(v,c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool),tc_bool,x)*.
% 299.97/300.57 29751[0:SpR:28271.1,657.0] || equal(c_False,u) -> equal(hAPP(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w),c_False)**.
% 299.97/300.57 29741[0:SpR:28271.1,5206.0] || equal(c_False,u) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),tc_bool),c_False)**.
% 299.97/300.57 159[0:Inp] || -> equal(c_Fun_Ocomp(u,c_Fun_Ofun__upd(v,w,x,y,z),z,x1,y),c_Fun_Ofun__upd(c_Fun_Ocomp(u,v,z,x1,y),w,hAPP(u,x),y,x1))*.
% 299.97/300.57 29707[0:SpR:28271.1,669.0] || equal(c_False,u) -> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),tc_bool)*.
% 299.97/300.57 29180[0:SpR:28270.1,665.0] || equal(c_False,u) -> c_Fun_Oinj__on(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool),tc_bool,x)*.
% 299.97/300.57 29202[0:SpR:28270.1,657.0] || equal(c_False,u) -> equal(hAPP(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w),c_False)**.
% 299.97/300.57 340[0:Inp] || hBOOL(c_in(u,v,w))* c_Complete__Lattice_Ocomplete__lattice(x,y,z,x1,x2,x3,x4,x5,w)*+ -> hBOOL(hAPP(hAPP(z,u),hAPP(y,v)))*.
% 299.97/300.57 29193[0:SpR:28270.1,5206.0] || equal(c_False,u) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),tc_bool),c_False)**.
% 299.97/300.57 29159[0:SpR:28270.1,669.0] || equal(c_False,u) -> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),tc_bool)*.
% 299.97/300.57 28806[0:SSi:28805.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),c_False)** -> equal(u,v).
% 299.97/300.57 339[0:Inp] || hBOOL(c_in(u,v,w))* c_Complete__Lattice_Ocomplete__lattice(x,y,z,x1,x2,x3,x4,x5,w)*+ -> hBOOL(hAPP(hAPP(z,hAPP(x,v)),u))*.
% 299.97/300.57 29031[0:MRR:29030.2,672.0] || equal(c_False,u) hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)))* -> .
% 299.97/300.57 28269[0:SSi:28260.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),v)**.
% 299.97/300.57 506[0:Inp] || equal(c_Fun_Ocomp(u,v,w,x,y),c_Fun_Ocomp(z,x1,x2,x,y))*+ -> equal(hAPP(u,hAPP(v,x3)),hAPP(z,hAPP(x1,x3)))*.
% 299.97/300.57 28268[0:SSi:28259.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),v)**.
% 299.97/300.57 28774[0:SpR:28267.1,28266.1] || equal(c_False,u)*+ equal(c_False,v)* -> equal(u,v)*.
% 299.97/300.57 28267[0:SSi:28258.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),u)**.
% 299.97/300.57 28357[0:SSi:28356.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) equal(u,c_Orderings_Otop__class_Otop(tc_bool))* -> .
% 299.97/300.57 326[0:Inp] || hBOOL(c_in(u,v,w)) -> equal(hAPP(c_Set_Oinsert(hAPP(x,u),y),hAPP(c_Set_Oimage(x,w,y),v)),hAPP(c_Set_Oimage(x,w,y),v))**.
% 299.97/300.57 28266[0:SSi:28257.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),u)**.
% 299.97/300.57 28232[0:SSi:28231.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))*.
% 299.97/300.57 18478[0:SSi:18408.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))*+ -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))*.
% 299.97/300.57 417[0:Inp] || equal(hAPP(c_Set_Oinsert(u,v),w),hAPP(c_Set_Oinsert(u,v),x))* -> hBOOL(c_in(u,w,v)) hBOOL(c_in(u,x,v)) equal(w,x).
% 299.97/300.57 28083[0:SSi:28080.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),c_False))* -> .
% 299.97/300.57 289[0:Inp] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,y,w,tc_fun(z,tc_bool)),z))*+ -> hBOOL(c_in(x,hAPP(y,u),z))*.
% 299.97/300.57 28064[0:AED:250.0,28055.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.57 17838[0:SSi:17791.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v))*+ -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v))*.
% 299.97/300.57 27965[0:SpL:34.0,27571.0] || hBOOL(hAPP(c_HOL_Ominus__class_Ominus(u,tc_bool),v))* -> hBOOL(u).
% 299.97/300.57 331[0:Inp] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,hAPP(y,u),z))*+ -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,y,w,tc_fun(z,tc_bool)),z))*.
% 299.97/300.57 13702[0:SpR:13374.1,676.0] || -> equal(u,c_False) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v))*.
% 299.97/300.57 13604[0:SSi:13603.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(u,c_False)) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),u)),c_False)**.
% 299.97/300.57 13033[0:MRR:13028.0,927.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w)),c_False))*.
% 299.97/300.57 425[0:Inp] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(x,y,u)))*.
% 299.97/300.57 9905[0:SpL:9725.0,4389.0] || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),c_COMBK(c_False,tc_bool,v))* -> .
% 299.97/300.57 9671[0:SpL:9425.0,4389.0] || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),c_COMBK(c_False,tc_bool,v))* -> .
% 299.97/300.57 8976[0:SpR:8938.0,708.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))**.
% 299.97/300.57 8803[0:SpR:8783.0,708.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))**.
% 299.97/300.57 266[0:Inp] || hBOOL(c_in(u,v,w)) -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(u,w),x),tc_fun(w,tc_bool)),v),hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(w,tc_bool)),v))**.
% 299.97/300.57 26868[0:SpR:699.0,26483.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),u),v_x))))*.
% 299.97/300.57 26483[0:SSi:26475.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Set_Oinsert(v_x,t_a),u),v_x),tc_bool),v)))*.
% 299.97/300.57 26408[0:SpR:712.1,26226.0] class_Orderings_Oorder(t_a) || -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x)),u))*.
% 299.97/300.57 26176[0:SpR:1523.1,26073.0] class_Orderings_Oorder(t_a) || -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x)))*.
% 299.97/300.57 410[0:Inp] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)),hAPP(c_Set_Oinsert(w,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),x)))*.
% 299.97/300.57 26200[0:SSi:26192.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),u),v_x)),v))*.
% 299.97/300.57 26226[0:SSi:26219.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),u))*.
% 299.97/300.57 411[0:Inp] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),x),hAPP(c_Set_Oinsert(v,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x)))**.
% 299.97/300.57 26168[0:SpR:699.0,26073.0] || -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_fequal(t_a),v_x),v_x)))*.
% 299.97/300.57 26073[0:SpR:34.0,23915.0] || -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),v),v_x)))*.
% 299.97/300.57 17[0:Inp] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))*+ -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)).
% 299.97/300.57 20361[0:SSi:20360.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20260[0:MRR:20148.0,927.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20259[0:MRR:20146.0,927.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20257[0:MRR:20144.0,927.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 801[0:Rew:662.0,543.2,699.0,543.1,662.0,543.1,699.0,543.0,662.0,543.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_fequal(u),w)))* -> equal(v,hAPP(c_fequal(u),w)) equal(v,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.57 20255[0:MRR:20119.0,927.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20204[0:Res:9851.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20202[0:Res:9618.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20170[0:Res:676.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 225[0:Inp] || c_Finite__Set_Ofold__graph(u,v,w,x,y,y) -> hBOOL(hAPP(c_Finite__Set_Ofold1Set(u,hAPP(c_Set_Oinsert(v,y),w),y),x))* hBOOL(c_in(v,w,y)).
% 299.97/300.57 19895[0:SpR:19877.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),u,v),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 13749[0:SpL:13374.1,971.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))))* -> equal(u,c_False).
% 299.97/300.57 522[0:Inp] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)*+ -> equal(hAPP(hAPP(u,c_COMBK(hAPP(y,hAPP(v,z)),w,w)),z),hAPP(hAPP(u,y),z))**.
% 299.97/300.57 13508[0:Res:3225.0,12715.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))),c_False)**.
% 299.97/300.57 13507[0:Res:3185.0,12715.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))),c_False)**.
% 299.97/300.57 13377[0:AED:250.0,13362.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)),c_False))*.
% 299.97/300.57 9011[0:SpL:8938.0,4389.0] || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),c_COMBK(c_False,tc_bool,v))* -> .
% 299.97/300.57 796[0:Rew:699.0,604.0,699.0,604.0,662.0,604.0] || equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w)),hAPP(c_Set_Oinsert(x,v),hAPP(c_fequal(v),y)))* -> equal(w,y) equal(w,x).
% 299.97/300.57 8837[0:SpL:8783.0,4389.0] || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),c_COMBK(c_False,tc_bool,v))* -> .
% 299.97/300.57 20258[0:MRR:20145.0,927.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20256[0:MRR:20143.0,927.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20203[0:Res:8970.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 798[0:Rew:699.0,606.0,699.0,606.0,662.0,606.0] || equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w)),hAPP(c_Set_Oinsert(x,v),hAPP(c_fequal(v),y)))* -> equal(u,x) equal(w,x).
% 299.97/300.57 20201[0:Res:8797.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 16368[0:Res:533.1,16356.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_False))* -> equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),c_False).
% 299.97/300.57 15656[0:MRR:15623.2,672.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_Complete__Lattice_OInf__class_OInf(tc_bool))) hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_False))* -> .
% 299.97/300.57 10592[0:Res:409.0,528.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(w)),u),v,w)*.
% 299.97/300.57 181[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oimage(w,u,u),v)))* c_Finite__Set_Ofinite(v,u) -> c_Fun_Oinj__on(w,v,u,u).
% 299.97/300.57 9917[0:SpL:9725.0,696.0] || c_Finite__Set_Ofold__graph(u,v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool),x,tc_bool,y)* -> equal(x,v).
% 299.97/300.57 9683[0:SpL:9425.0,696.0] || c_Finite__Set_Ofold__graph(u,v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool),x,tc_bool,y)* -> equal(x,v).
% 299.97/300.57 9798[0:SpR:9728.0,35.0] || -> equal(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,c_False,w,x),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool))**.
% 299.97/300.57 25093[0:MRR:25024.1,935.0] class_Orderings_Olinorder(tc_bool) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,u,tc_bool)),c_False)**.
% 299.97/300.57 802[0:Rew:684.0,302.2,662.0,302.2,411.0,302.2] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(c_Set_Oinsert(v,u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u))**.
% 299.97/300.57 9514[0:SpR:9428.0,35.0] || -> equal(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,c_False,w,x),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool))**.
% 299.97/300.57 9023[0:SpL:8938.0,696.0] || c_Finite__Set_Ofold__graph(u,v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool),x,tc_bool,y)* -> equal(x,v).
% 299.97/300.57 8849[0:SpL:8783.0,696.0] || c_Finite__Set_Ofold__graph(u,v,c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool),x,tc_bool,y)* -> equal(x,v).
% 299.97/300.57 24908[0:MRR:24866.1,1318.0] class_Orderings_Olinorder(tc_bool) || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),hAPP(c_fequal(tc_bool),u))*.
% 299.97/300.57 803[0:Rew:685.0,303.2,662.0,303.2,410.0,303.2] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(c_Set_Oinsert(w,u),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u))**.
% 299.97/300.57 16120[0:SpR:15551.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w))*.
% 299.97/300.57 14946[0:SpR:14872.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),u))*.
% 299.97/300.57 9870[0:SpR:9725.0,691.0] || -> equal(hAPP(c_Set_Oimage(u,tc_bool,v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.57 9637[0:SpR:9425.0,691.0] || -> equal(hAPP(c_Set_Oimage(u,tc_bool,v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.57 83[0:Inp] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(u),w,u)),v))*.
% 299.97/300.57 9003[0:SpR:8938.0,899.0] || -> equal(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,c_False,w,x),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))**.
% 299.97/300.57 24543[0:Res:24282.0,13695.0] || -> equal(hAPP(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 364[0:Inp] class_HOL_Oord(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(v,u)),w),x))*+ -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(w,y)),hAPP(x,y)))*.
% 299.97/300.57 8829[0:SpR:8783.0,899.0] || -> equal(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,c_False,w,x),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))**.
% 299.97/300.57 14847[0:SpR:14632.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_False))*.
% 299.97/300.57 13756[0:SpL:13374.1,673.0] || hBOOL(hAPP(c_Finite__Set_Ofold1Set(u,c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),tc_bool),w))* -> equal(v,c_False).
% 299.97/300.57 13680[0:SpL:5136.1,13617.0] class_Orderings_Oorder(u) || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u))* -> .
% 299.97/300.57 348[0:Inp] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w))**.
% 299.97/300.57 23837[0:SSi:23828.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> equal(u,c_False).
% 299.97/300.57 23838[0:SSi:23827.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)))** -> .
% 299.97/300.57 23843[0:SpL:9030.0,23831.0] || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool))* -> .
% 299.97/300.57 23839[0:SpL:9029.0,23831.0] || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool))* -> .
% 299.97/300.57 257[0:Inp] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,u)),v),w),v_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(v,v_x)),hAPP(w,v_x)))**.
% 299.97/300.57 23832[0:SSi:23826.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))* -> .
% 299.97/300.57 23831[0:SSi:23824.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.57 13679[0:SpL:5266.1,13617.0] class_Orderings_Oorder(u) || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u))* -> .
% 299.97/300.57 9926[0:SSi:9863.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 466[0:Inp] || -> equal(c_Fun_Ocomp(u,c_Fun_Ocomp(v,w,x,y,z),y,x1,z),c_Fun_Ocomp(c_Fun_Ocomp(u,v,y,x1,x),w,x,x1,z))*.
% 299.97/300.57 9914[0:SpL:9725.0,4145.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool))* -> .
% 299.97/300.57 9692[0:SSi:9630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 9680[0:SpL:9425.0,4145.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) equal(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool))* -> .
% 299.97/300.57 8989[0:SpR:8938.0,691.0] || -> equal(hAPP(c_Set_Oimage(u,tc_bool,v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.57 94[0:Inp] || -> hBOOL(c_in(u,v,w)) equal(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,y,w,z),w,z),v),hAPP(c_Set_Oimage(x,w,z),v))**.
% 299.97/300.57 8816[0:SpR:8783.0,691.0] || -> equal(hAPP(c_Set_Oimage(u,tc_bool,v),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.57 23527[0:Res:4138.1,20374.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))*+ -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20374[0:SpR:418.1,20174.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.57 20337[0:SpR:20242.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.57 46[0:Inp] || -> equal(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oimage(x,y,v),z)),hAPP(c_Set_Oimage(c_COMBB(u,x,v,w,y),y,w),z))*.
% 299.97/300.57 20322[0:SpR:20206.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.57 20294[0:SpR:20154.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.57 20253[0:MRR:20080.1,927.0] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20252[0:MRR:20077.1,927.0] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20177[0:Res:701.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Finite__Set_Ofold1Set(u,hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool)),v)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20167[0:Res:368.1,20047.0] class_Orderings_Obot(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20163[0:Res:5772.1,20047.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 12711[0:SpR:12544.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(c_False,tc_bool),u),c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 461[0:Inp] || equal(hAPP(u,hAPP(v,w)),hAPP(v,w))**+ c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,u),w),w)**.
% 299.97/300.57 10477[0:SpR:8858.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.57 9035[0:SSi:8982.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 9020[0:SpL:8938.0,4145.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool))* -> .
% 299.97/300.57 8861[0:SSi:8809.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 405[0:Inp] || -> equal(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),y)),hAPP(c_Set_Oinsert(hAPP(u,x),w),hAPP(c_Set_Oimage(u,v,w),y)))*.
% 299.97/300.57 8846[0:SpL:8783.0,4145.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) equal(u,c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool))* -> .
% 299.97/300.57 20345[0:SSi:20344.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20330[0:SSi:20329.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_bool),v))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20303[0:SSi:20302.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 783[0:Rew:699.0,596.1,662.0,596.1] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(w)),x),w) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(w)),v),w)*.
% 299.97/300.57 20279[0:SpR:20243.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_Orderings_Otop__class_Otop(tc_bool),u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.57 20251[0:MRR:20074.1,927.0] class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20250[0:MRR:20073.1,927.0] class_Lattices_Olattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20249[0:MRR:20072.1,927.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 497[0:Inp] || hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,v,w,tc_fun(x,tc_bool)),y))*+ hBOOL(c_in(z,u,w))* -> hBOOL(hAPP(hAPP(v,z),y))*.
% 299.97/300.57 20248[0:MRR:20071.1,927.0] class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20247[0:MRR:20070.1,927.0] class_Lattices_Olattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20246[0:MRR:20069.1,927.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20209[0:Res:13341.0,20047.0] || -> equal(c_Orderings_Otop__class_Otop(tc_bool),u) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 352[0:Inp] || hBOOL(hAPP(hAPP(u,v),w))*+ hBOOL(c_in(v,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,u,y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.57 20162[0:Res:495.1,20047.0] class_Orderings_Opreorder(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20161[0:Res:494.1,20047.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20160[0:Res:1279.1,20047.0] class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20159[0:Res:1319.1,20047.0] class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 430[0:Inp] || hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x),v))* -> hBOOL(c_in(u,w,v)) hBOOL(c_in(u,x,v)).
% 299.97/300.57 20158[0:Res:1811.1,20047.0] class_Lattices_Olattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20157[0:Res:2901.1,20047.0] class_Orderings_Olinorder(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 17217[0:Res:9852.0,12715.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool))),c_False)**.
% 299.97/300.57 17170[0:Res:9619.0,12715.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool))),c_False)**.
% 299.97/300.57 265[0:Inp] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(y,u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,y,w,tc_fun(x,tc_bool))))*.
% 299.97/300.57 21030[0:MRR:21025.1,927.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(c_Complete__Lattice_OSup__class_OSup(tc_bool))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_False))*.
% 299.97/300.57 13701[0:SpR:13374.1,593.0] || -> equal(u,c_False) c_Wellfounded_OwfP(c_COMBK(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool),tc_bool),tc_bool)*.
% 299.97/300.57 435[0:Inp] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,y,w,tc_fun(x,tc_bool))),hAPP(y,u)))*.
% 299.97/300.57 13625[0:SpR:13619.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),c_False,u,v),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 13523[0:Res:4252.0,12715.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u))),c_False)**.
% 299.97/300.57 20287[0:SSi:20286.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20526[0:MRR:20522.0,669.0] || -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(u,v),w),tc_fun(v,tc_bool)),w),v)*.
% 299.97/300.57 114[0:Inp] || c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),x)),v)* -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),x),v).
% 299.97/300.57 20106[0:SpL:657.0,20047.0] || hBOOL(u) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_COMBK(u,v,w)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20134[0:SpL:12550.0,20047.0] || hBOOL(u) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20245[0:MRR:20068.0,927.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20156[0:Res:491.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 115[0:Inp] || c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),v) -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(x,v),w)),v)*.
% 299.97/300.57 20174[0:Res:598.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),u),v)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20155[0:Res:659.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(u),c_Orderings_Otop__class_Otop(tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20242[0:MRR:20117.0,927.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20206[0:Res:12623.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_bool),u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 157[0:Inp] class_HOL_Oord(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,u)),w),x))*+ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(v,u)),x),w))* -> .
% 299.97/300.57 20154[0:Res:442.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20243[0:MRR:20208.0,2970.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20047[0:Res:253.1,13253.0] || hBOOL(hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.57 169[0:Inp] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)).
% 299.97/300.57 12724[0:SpR:613.0,12544.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(c_False,tc_bool),v))),c_False)**.
% 299.97/300.57 19877[0:Rew:10486.0,19859.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 12684[0:SSi:12674.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u))**.
% 299.97/300.57 170[0:Inp] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x)).
% 299.97/300.57 15401[0:Res:8971.0,12715.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))),c_False)**.
% 299.97/300.57 19653[0:SpR:19460.0,35.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(u,tc_bool),c_Orderings_Otop__class_Otop(tc_bool),c_False,v,w),c_HOL_Ominus__class_Ominus(u,tc_bool))**.
% 299.97/300.57 19460[0:SpR:34.0,19435.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),c_False)**.
% 299.97/300.57 476[0:Inp] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),x)).
% 299.97/300.57 13633[0:SSi:13632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)))),c_False)**.
% 299.97/300.57 13524[0:Res:8798.0,12715.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))),c_False)**.
% 299.97/300.57 477[0:Inp] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x)).
% 299.97/300.57 19172[0:SSi:19158.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)),c_False)**.
% 299.97/300.57 13727[0:SpR:13374.1,664.0] || -> equal(u,c_False) c_Finite__Set_Ofold__graph(v,w,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),w,tc_bool,x)*.
% 299.97/300.57 13726[0:SpR:13374.1,663.0] || -> equal(u,c_False) c_Nitpick_Ofold__graph_H(v,w,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),w,tc_bool,x)*.
% 299.97/300.57 184[0:Inp] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)))*.
% 299.97/300.57 10583[0:Res:676.0,528.0] || c_Hoare__Mirabelle_Ohoare__derivs(c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(u)),v,u)*+ -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,u)*.
% 299.97/300.57 9919[0:SpL:9725.0,4380.1] || hBOOL(u) equal(c_COMBK(u,v,w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool))* -> .
% 299.97/300.57 9685[0:SpL:9425.0,4380.1] || hBOOL(u) equal(c_COMBK(u,v,w),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool))* -> .
% 299.97/300.57 12564[0:Rew:441.1,12563.1,2659.0,12563.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.57 185[0:Inp] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w)))*.
% 299.97/300.57 12282[0:Rew:357.1,12281.1,2659.0,12281.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.57 9025[0:SpL:8938.0,4380.1] || hBOOL(u) equal(c_COMBK(u,v,w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool))* -> .
% 299.97/300.57 8851[0:SpL:8783.0,4380.1] || hBOOL(u) equal(c_COMBK(u,v,w),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool))* -> .
% 299.97/300.57 16121[0:SpR:15551.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),w))*.
% 299.97/300.57 478[0:Inp] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w)))*.
% 299.97/300.57 15616[0:SpL:9425.0,13376.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,v,tc_bool))* -> equal(v,c_False).
% 299.97/300.57 15615[0:SpL:9725.0,13376.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,v,tc_bool))* -> equal(v,c_False).
% 299.97/300.57 15609[0:SpL:9425.0,13375.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,u,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool))* -> equal(u,c_False).
% 299.97/300.57 15608[0:SpL:9725.0,13375.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool))* -> equal(u,c_False).
% 299.97/300.57 479[0:Inp] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)))*.
% 299.97/300.57 13762[0:SpL:13374.1,10872.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool))* -> equal(v,c_False).
% 299.97/300.57 9869[0:SpR:9725.0,699.0] || -> equal(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)),hAPP(c_fequal(tc_bool),u))**.
% 299.97/300.57 9856[0:SpR:9725.0,685.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)),u)**.
% 299.97/300.57 1[0:Inp] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)),w))*.
% 299.97/300.57 9853[0:SpR:9725.0,684.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),v),v)**.
% 299.97/300.57 9636[0:SpR:9425.0,699.0] || -> equal(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)),hAPP(c_fequal(tc_bool),u))**.
% 299.97/300.57 9623[0:SpR:9425.0,685.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)),u)**.
% 299.97/300.57 2[0:Inp] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)),w))*.
% 299.97/300.57 9620[0:SpR:9425.0,684.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),v),v)**.
% 299.97/300.57 15618[0:SpL:8783.0,13376.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,v,tc_bool))* -> equal(v,c_False).
% 299.97/300.57 15617[0:SpL:8938.0,13376.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,v,tc_bool))* -> equal(v,c_False).
% 299.97/300.57 15611[0:SpL:8783.0,13375.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,u,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool))* -> equal(u,c_False).
% 299.97/300.57 171[0:Inp] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)),w))*.
% 299.97/300.57 15610[0:SpL:8938.0,13375.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool))* -> equal(u,c_False).
% 299.97/300.57 14004[0:SpL:13732.1,9496.0] || equal(hAPP(c_fequal(tc_bool),u),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool))* -> equal(v,c_False).
% 299.97/300.57 13763[0:SpL:13374.1,11215.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,v,tc_bool))* -> equal(u,c_False).
% 299.97/300.57 13758[0:SpL:13374.1,4286.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool))* -> equal(v,c_False).
% 299.97/300.57 172[0:Inp] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)),w))*.
% 299.97/300.57 13544[0:SpR:13517.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 13522[0:Res:4251.1,12715.0] class_Orderings_Obot(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_False)**.
% 299.97/300.57 13518[0:Res:6094.1,12715.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_False)**.
% 299.97/300.57 9907[0:SpL:9725.0,687.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)))* -> .
% 299.97/300.57 413[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),x)).
% 299.97/300.57 9852[0:SpR:9725.0,4252.0] || -> hBOOL(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),v))*.
% 299.97/300.57 9673[0:SpL:9425.0,687.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)))* -> .
% 299.97/300.57 9619[0:SpR:9425.0,4252.0] || -> hBOOL(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),v))*.
% 299.97/300.57 412[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(x,u),w)))*.
% 299.97/300.57 8997[0:SpR:8938.0,3176.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),c_False,v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.57 8988[0:SpR:8938.0,699.0] || -> equal(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)),hAPP(c_fequal(tc_bool),u))**.
% 299.97/300.57 8975[0:SpR:8938.0,685.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)),u)**.
% 299.97/300.57 8972[0:SpR:8938.0,684.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v),v)**.
% 299.97/300.57 444[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))*+ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),v))* -> equal(v,w).
% 299.97/300.57 8824[0:SpR:8783.0,3176.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),c_False,v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.57 8815[0:SpR:8783.0,699.0] || -> equal(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)),hAPP(c_fequal(tc_bool),u))**.
% 299.97/300.57 8802[0:SpR:8783.0,685.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)),u)**.
% 299.97/300.57 759[0:Rew:341.0,333.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool)),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v))**.
% 299.97/300.57 8799[0:SpR:8783.0,684.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v),v)**.
% 299.97/300.57 16356[0:Res:253.1,16131.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u))* -> equal(c_False,u).
% 299.97/300.57 16131[0:Rew:15484.0,16125.1] || hBOOL(c_in(u,c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),tc_bool))* -> equal(c_False,u).
% 299.97/300.57 16132[0:AED:250.0,16126.1] || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)))** -> .
% 299.97/300.57 264[0:Inp] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(y,v)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,y,x,u)))*.
% 299.97/300.57 15551[0:SSi:15550.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool))),u)**.
% 299.97/300.57 15540[0:SpR:15484.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_False,u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.57 15494[0:SpR:15481.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),c_False),c_False,u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.57 15333[0:SpL:13272.0,4150.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool))**+ -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v))*.
% 299.97/300.57 434[0:Inp] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,y,x,u)),hAPP(y,v)))*.
% 299.97/300.57 13995[0:SpL:13732.1,9495.0] || equal(hAPP(c_lessequals(tc_bool),c_False),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> equal(u,c_False).
% 299.97/300.57 13991[0:SpL:13732.1,10150.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)))** -> equal(u,c_False).
% 299.97/300.57 13736[0:SpR:13374.1,10486.0] || -> equal(u,c_False) equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 15785[0:SSi:15784.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool))* -> equal(c_Orderings_Otop__class_Otop(tc_bool),u).
% 299.97/300.57 323[0:Inp] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,x,w)) hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x),w))*.
% 299.97/300.57 13695[0:SSi:13693.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))* -> equal(c_Orderings_Otop__class_Otop(tc_bool),u).
% 299.97/300.57 13552[0:SSi:13551.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_False)**.
% 299.97/300.57 13532[0:SpR:13510.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_bool),c_False),c_False,u,v),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 107[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oimage(w,x,u),y)))* c_Finite__Set_Ofinite(y,x) -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.57 13516[0:Res:4138.1,12715.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u),c_False)**.
% 299.97/300.57 13271[0:MRR:13267.0,927.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_False))*.
% 299.97/300.57 221[0:Inp] class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Finite__Set_Olinorder__class_OMax(w,u)))*.
% 299.97/300.57 12750[0:SpR:12731.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_False,u,v),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 12738[0:SpR:12718.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),c_False),c_False,u,v),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 12458[0:SpL:10494.0,4150.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_Complete__Lattice_OInf__class_OInf(tc_bool))**+ -> hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),v))*.
% 299.97/300.57 15484[0:SSi:15483.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),c_False)**.
% 299.97/300.57 222[0:Inp] class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Finite__Set_Olinorder__class_OMin(w,u)),v))*.
% 299.97/300.57 15481[0:Rew:3179.0,15467.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),c_False)),c_False)**.
% 299.97/300.57 12263[0:SSi:12195.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(c_False,tc_bool),u)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u))**.
% 299.97/300.57 10493[0:MRR:10491.0,927.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_False))*.
% 299.97/300.57 9013[0:SpL:8938.0,687.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)))* -> .
% 299.97/300.57 27[0:Inp] class_HOL_Oord(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,u)),w),x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(v,u)),w),x))*.
% 299.97/300.57 8971[0:SpR:8938.0,4252.0] || -> hBOOL(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v))*.
% 299.97/300.57 8839[0:SpL:8783.0,687.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)))* -> .
% 299.97/300.57 13539[0:SSi:13538.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_bool),c_False))),c_False)**.
% 299.97/300.57 446[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))*+ hBOOL(hAPP(hAPP(c_lessequals(u),w),v))* -> equal(v,w).
% 299.97/300.57 12758[0:SSi:12757.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool))),c_False)**.
% 299.97/300.57 12721[0:SpR:3333.0,12544.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),c_False))),c_False)**.
% 299.97/300.57 14944[0:SpR:14872.0,35.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(u,tc_bool),c_False,u,v,w),c_HOL_Ominus__class_Ominus(u,tc_bool))**.
% 299.97/300.57 14845[0:SpR:14632.0,35.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(u,tc_bool),u,c_False,v,w),c_HOL_Ominus__class_Ominus(u,tc_bool))**.
% 299.97/300.57 503[0:Inp] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(v,w)),w))*+ -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(v,u)),w))*.
% 299.97/300.57 14601[0:SpR:14531.0,35.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(c_False,tc_bool),u,c_False,v,w),c_HOL_Ominus__class_Ominus(c_False,tc_bool))**.
% 299.97/300.57 14872[0:SpR:34.0,14499.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_bool),c_False),u)**.
% 299.97/300.57 14632[0:SpR:34.0,14497.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_bool),u),c_False)**.
% 299.97/300.57 71[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w)) equal(v,w).
% 299.97/300.57 14775[0:Obv:14774.1] class_OrderedGroup_Oab__group__add(tc_bool) || -> .
% 299.97/300.57 14531[0:SpR:34.0,14507.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_False,tc_bool),u),c_False)**.
% 299.97/300.57 335[0:Inp] class_HOL_Ominus(u) || -> equal(hAPP(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(t_a,u)),w),v_x),hAPP(c_HOL_Ominus__class_Ominus(hAPP(v,v_x),u),hAPP(w,v_x)))**.
% 299.97/300.57 13598[0:MRR:13567.2,672.0] || hBOOL(hAPP(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_False))* hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_False)) -> .
% 299.97/300.57 12562[0:Rew:710.1,12561.1,699.0,12561.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Orderings_Otop__class_Otop(u)),v)**.
% 299.97/300.57 13735[0:SpR:13374.1,9725.0] || -> equal(u,c_False) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*.
% 299.97/300.57 13734[0:SpR:13374.1,9425.0] || -> equal(u,c_False) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*.
% 299.97/300.57 117[0:Inp] || c_Fun_Oinj__on(c_Fun_Ocomp(u,v,w,x,y),z,y,x)*+ -> c_Fun_Oinj__on(u,hAPP(c_Set_Oimage(v,y,w),z),w,x)*.
% 299.97/300.57 13526[0:Res:4249.1,12715.0] || hBOOL(u) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_COMBK(u,v,w)),c_False)**.
% 299.97/300.57 13755[0:SpL:13374.1,666.0] || hBOOL(c_in(u,c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),tc_bool))* -> equal(v,c_False).
% 299.97/300.57 13733[0:SpR:13374.1,8938.0] || -> equal(u,c_False) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*.
% 299.97/300.57 13732[0:SpR:13374.1,8783.0] || -> equal(u,c_False) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*.
% 299.97/300.57 106[0:Inp] || hBOOL(c_in(u,v,w))*+ c_Finite__Set_Ofinite(hAPP(x,u),y)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,x,w,tc_fun(y,tc_bool)),y)*.
% 299.97/300.57 13730[0:SpR:13374.1,3179.0] || -> equal(u,c_False) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),c_False)**.
% 299.97/300.57 13718[0:SpR:13374.1,665.0] || -> equal(u,c_False) c_Fun_Oinj__on(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_bool,w)*.
% 299.97/300.57 13738[0:SpR:13374.1,657.0] || -> equal(u,c_False) equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v),c_False)**.
% 299.97/300.57 13731[0:SpR:13374.1,5206.0] || -> equal(u,c_False) equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_bool),c_False)**.
% 299.97/300.57 53[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))*+ c_Fun_Oinj__on(x,w,u,y)* -> c_Fun_Oinj__on(x,v,u,y)*.
% 299.97/300.57 13700[0:SpR:13374.1,669.0] || -> equal(u,c_False) c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_bool)*.
% 299.97/300.57 13341[0:SSi:13326.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)))* equal(c_Orderings_Otop__class_Otop(tc_bool),u).
% 299.97/300.57 13617[0:Res:13613.0,1152.0] || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),c_COMBK(c_False,tc_bool,u))* -> .
% 299.97/300.57 774[0:Rew:699.0,401.0,662.0,401.0] || -> hBOOL(c_in(u,v,w)) equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(u,w),v),tc_fun(w,tc_bool)),hAPP(c_fequal(w),u)),v)**.
% 299.97/300.57 13619[0:Res:13613.0,12715.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),c_False)**.
% 299.97/300.57 13613[0:AED:250.0,13609.1] || -> hBOOL(c_in(c_False,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))*.
% 299.97/300.57 12803[0:MRR:12795.0,927.0] || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),c_False))*.
% 299.97/300.57 13495[0:Res:253.1,12715.0] || hBOOL(hAPP(u,c_False)) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u),c_False)**.
% 299.97/300.57 147[0:Inp] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))*+ hBOOL(c_in(x,v,u))* -> hBOOL(c_in(x,w,u))*.
% 299.97/300.57 13517[0:Res:4246.0,12715.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_False)**.
% 299.97/300.57 13510[0:Res:4245.0,12715.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_bool),c_False)),c_False)**.
% 299.97/300.57 12715[0:SpR:418.1,12544.0] || hBOOL(c_in(c_False,u,tc_bool))* -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u),c_False).
% 299.97/300.57 13429[0:SSi:13428.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u)* -> equal(u,c_False).
% 299.97/300.57 486[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))*+ hBOOL(c_in(x,v,u))* -> hBOOL(c_in(x,w,u))*.
% 299.97/300.57 13373[0:SSi:13371.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* -> equal(u,c_False).
% 299.97/300.57 13340[0:SSi:13302.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))* equal(u,c_False).
% 299.97/300.57 69[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) equal(w,v).
% 299.97/300.57 12821[0:Rew:710.1,12816.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),v),v)**.
% 299.97/300.57 12701[0:Rew:714.1,12696.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),v),v)**.
% 299.97/300.57 77[0:Inp] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) equal(v,w).
% 299.97/300.57 12637[0:SSi:12634.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 772[0:Rew:699.0,218.1,662.0,218.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),hAPP(c_fequal(u),w))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))**.
% 299.97/300.57 12625[0:SSi:12618.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 12731[0:SSi:12726.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),c_False)**.
% 299.97/300.57 12718[0:SpR:699.0,12544.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),c_False)),c_False)**.
% 299.97/300.57 12544[0:SSi:12503.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(c_False,tc_bool),u)),c_False)**.
% 299.97/300.57 773[0:Rew:699.0,399.1,662.0,399.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),hAPP(c_fequal(u),w))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))**.
% 299.97/300.57 12683[0:MRR:12682.1,672.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))))* -> .
% 299.97/300.57 12624[0:SSi:12609.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u),u)**.
% 299.97/300.57 12623[0:SSi:12606.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.57 12550[0:SSi:12549.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)),u)**.
% 299.97/300.57 125[0:Inp] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(c_Complete__Lattice_OInf__class_OInf(u),w)),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),w)))**.
% 299.97/300.57 8798[0:SpR:8783.0,4252.0] || -> hBOOL(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v))*.
% 299.97/300.57 12280[0:Rew:714.1,12279.1,699.0,12279.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Orderings_Obot__class_Obot(u)),v)**.
% 299.97/300.57 9916[0:SpL:9725.0,694.1] || hBOOL(hAPP(u,v))* equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool))*+ -> .
% 299.97/300.57 276[0:Inp] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(c_Complete__Lattice_OSup__class_OSup(u),w)),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),w)))**.
% 299.97/300.57 9682[0:SpL:9425.0,694.1] || hBOOL(hAPP(u,v))* equal(u,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool))*+ -> .
% 299.97/300.57 9868[0:SpR:9725.0,677.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)),u)**.
% 299.97/300.57 9635[0:SpR:9425.0,677.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)),u)**.
% 299.97/300.57 9022[0:SpL:8938.0,694.1] || hBOOL(hAPP(u,v))* equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool))*+ -> .
% 299.97/300.57 47[0:Inp] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))**.
% 299.97/300.57 8848[0:SpL:8783.0,694.1] || hBOOL(hAPP(u,v))* equal(u,c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool))*+ -> .
% 299.97/300.57 9851[0:SpR:9725.0,676.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),v))*.
% 299.97/300.57 9618[0:SpR:9425.0,676.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),v))*.
% 299.97/300.57 8987[0:SpR:8938.0,677.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)),u)**.
% 299.97/300.57 350[0:Inp] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))**.
% 299.97/300.57 8814[0:SpR:8783.0,677.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)),u)**.
% 299.97/300.57 9906[0:SpL:9725.0,971.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool))))* -> .
% 299.97/300.57 9672[0:SpL:9425.0,971.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool))))* -> .
% 299.97/300.57 8970[0:SpR:8938.0,676.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v))*.
% 299.97/300.57 48[0:Inp] class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))**.
% 299.97/300.57 8797[0:SpR:8783.0,676.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v))*.
% 299.97/300.57 9012[0:SpL:8938.0,971.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))))* -> .
% 299.97/300.57 8838[0:SpL:8783.0,971.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))))* -> .
% 299.97/300.57 9913[0:SpL:9725.0,673.0] || hBOOL(hAPP(c_Finite__Set_Ofold1Set(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),tc_bool),w))* -> .
% 299.97/300.57 349[0:Inp] class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))**.
% 299.97/300.57 9679[0:SpL:9425.0,673.0] || hBOOL(hAPP(c_Finite__Set_Ofold1Set(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),tc_bool),w))* -> .
% 299.97/300.57 9019[0:SpL:8938.0,673.0] || hBOOL(hAPP(c_Finite__Set_Ofold1Set(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),tc_bool),w))* -> .
% 299.97/300.57 8845[0:SpL:8783.0,673.0] || hBOOL(hAPP(c_Finite__Set_Ofold1Set(u,c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),tc_bool),w))* -> .
% 299.97/300.57 9850[0:SpR:9725.0,593.0] || -> c_Wellfounded_OwfP(c_COMBK(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_fun(tc_bool,tc_bool),tc_bool),tc_bool)*.
% 299.97/300.57 751[0:Rew:662.0,61.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* equal(c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),c_COMBK(c_False,tc_bool,u)) -> .
% 299.97/300.57 9617[0:SpR:9425.0,593.0] || -> c_Wellfounded_OwfP(c_COMBK(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_fun(tc_bool,tc_bool),tc_bool),tc_bool)*.
% 299.97/300.57 8969[0:SpR:8938.0,593.0] || -> c_Wellfounded_OwfP(c_COMBK(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool),tc_bool),tc_bool)*.
% 299.97/300.57 8796[0:SpR:8783.0,593.0] || -> c_Wellfounded_OwfP(c_COMBK(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool),tc_bool),tc_bool)*.
% 299.97/300.57 11232[0:SpL:9425.0,11215.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,v,tc_bool))* -> .
% 299.97/300.57 752[0:Rew:662.0,63.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u)) -> .
% 299.97/300.57 11231[0:SpL:9725.0,11215.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,v,tc_bool))* -> .
% 299.97/300.57 11234[0:SpL:8783.0,11215.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,v,tc_bool))* -> .
% 299.97/300.57 11233[0:SpL:8938.0,11215.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,v,tc_bool))* -> .
% 299.97/300.57 755[0:Rew:662.0,459.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)) -> .
% 299.97/300.57 9876[0:SpR:9725.0,664.0] || -> c_Finite__Set_Ofold__graph(u,v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool),v,tc_bool,x)*.
% 299.97/300.57 9875[0:SpR:9725.0,663.0] || -> c_Nitpick_Ofold__graph_H(u,v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool),v,tc_bool,x)*.
% 299.97/300.57 9643[0:SpR:9425.0,664.0] || -> c_Finite__Set_Ofold__graph(u,v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool),v,tc_bool,x)*.
% 299.97/300.57 9642[0:SpR:9425.0,663.0] || -> c_Nitpick_Ofold__graph_H(u,v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool),v,tc_bool,x)*.
% 299.97/300.57 249[0:Inp] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),tc_fun(v,tc_bool)),w),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w))**.
% 299.97/300.57 8995[0:SpR:8938.0,664.0] || -> c_Finite__Set_Ofold__graph(u,v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool),v,tc_bool,x)*.
% 299.97/300.57 8994[0:SpR:8938.0,663.0] || -> c_Nitpick_Ofold__graph_H(u,v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool),v,tc_bool,x)*.
% 299.97/300.57 8822[0:SpR:8783.0,664.0] || -> c_Finite__Set_Ofold__graph(u,v,c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool),v,tc_bool,x)*.
% 299.97/300.57 8821[0:SpR:8783.0,663.0] || -> c_Nitpick_Ofold__graph_H(u,v,c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool),v,tc_bool,x)*.
% 299.97/300.57 778[0:Rew:699.0,661.0,662.0,661.0] || c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,v_Q,t_a)),t_a)* -> .
% 299.97/300.57 10875[0:SpL:8856.0,8859.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool))* -> .
% 299.97/300.57 10868[0:SpL:9432.0,8859.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool))* -> .
% 299.97/300.57 10663[0:SpL:8856.0,9496.0] || equal(hAPP(c_fequal(tc_bool),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool))* -> .
% 299.97/300.57 10659[0:SpL:8855.0,9496.0] || equal(hAPP(c_fequal(tc_bool),u),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool))* -> .
% 299.97/300.57 768[0:Rew:699.0,539.1,662.0,539.1] || hBOOL(c_in(u,v,w))*+ -> equal(hAPP(c_Set_Oimage(c_COMBK(x,y,w),w,y),v),hAPP(c_fequal(y),x))**.
% 299.97/300.57 9915[0:SpL:9725.0,4286.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool))* -> .
% 299.97/300.57 9681[0:SpL:9425.0,4286.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool))* -> .
% 299.97/300.57 9033[0:SSi:9014.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool))* -> .
% 299.97/300.57 130[0:Inp] || equal(hAPP(u,v),hAPP(u,w))* c_Fun_Oinj__on(u,c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),x,y)*+ -> equal(v,w).
% 299.97/300.57 8859[0:SSi:8840.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool))* -> .
% 299.97/300.57 10567[0:SpL:8856.0,9495.0] || equal(hAPP(c_lessequals(tc_bool),c_False),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool))* -> .
% 299.97/300.57 10563[0:SpL:8855.0,9495.0] || equal(hAPP(c_lessequals(tc_bool),c_False),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool))* -> .
% 299.97/300.57 10167[0:Res:4138.1,9750.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)))** -> .
% 299.97/300.57 771[0:Rew:662.0,591.1,699.0,591.0,662.0,591.0] || -> equal(u,c_COMBK(c_False,tc_bool,v)) equal(hAPP(c_Set_Oimage(c_COMBK(w,x,v),v,x),u),hAPP(c_fequal(x),w))**.
% 299.97/300.57 10150[0:Res:4138.1,9476.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)))** -> .
% 299.97/300.57 10011[0:SSi:10005.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(c_fequal(tc_bool),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool))* -> .
% 299.97/300.57 9924[0:SSi:9855.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 9690[0:SSi:9622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 527[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w))*+ c_Hoare__Mirabelle_Ohoare__derivs(x,w,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,v,u)*.
% 299.97/300.57 9496[0:SSi:9483.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(c_fequal(tc_bool),u),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool))* -> .
% 299.97/300.57 9021[0:SpL:8938.0,4286.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool))* -> .
% 299.97/300.57 8847[0:SpL:8783.0,4286.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool))* -> .
% 299.97/300.57 10010[0:SSi:9999.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(c_lessequals(tc_bool),c_False),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.57 528[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w))*+ c_Hoare__Mirabelle_Ohoare__derivs(v,x,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(w,x,u)*.
% 299.97/300.57 9495[0:SSi:9477.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(c_lessequals(tc_bool),c_False),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))* -> .
% 299.97/300.57 9404[0:Res:4138.1,9018.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)))** -> .
% 299.97/300.57 9237[0:Res:4138.1,8844.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)))** -> .
% 299.97/300.57 9032[0:SSi:8974.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 748[0:Rew:662.0,572.1] || -> equal(u,c_COMBK(c_False,tc_bool,v)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_COMBK(w,tc_fun(x,tc_bool),v),v,tc_fun(x,tc_bool)),w)**.
% 299.97/300.57 8858[0:SSi:8801.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 9735[0:SpR:8856.0,8856.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool))*.
% 299.97/300.57 9732[0:SpR:8856.0,8855.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool))*.
% 299.97/300.57 749[0:Rew:662.0,573.1] || -> equal(u,c_COMBK(c_False,tc_bool,v)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_COMBK(w,tc_fun(x,tc_bool),v),v,tc_fun(x,tc_bool)),w)**.
% 299.97/300.57 9432[0:SpR:8855.0,8855.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool))*.
% 299.97/300.57 9750[0:SpL:8856.0,8844.0] || hBOOL(c_in(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),tc_bool))* -> .
% 299.97/300.57 9476[0:SpL:8855.0,8844.0] || hBOOL(c_in(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),tc_bool))* -> .
% 299.97/300.57 9030[0:SSi:8985.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool))*.
% 299.97/300.57 4[0:Inp] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v))* equal(w,v).
% 299.97/300.57 9029[0:SSi:8984.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool))*.
% 299.97/300.57 9733[0:SpR:8856.0,8813.0] || -> c_Fun_Oinj__on(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),tc_bool,w)*.
% 299.97/300.57 9728[0:SpR:8856.0,8828.0] || -> equal(hAPP(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v),c_False)**.
% 299.97/300.57 8[0:Inp] class_Ring__and__Field_Oordered__idom(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v))* equal(v,w).
% 299.97/300.57 9726[0:SpR:8856.0,8795.0] || -> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_bool)*.
% 299.97/300.57 8856[0:SSi:8812.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool))*.
% 299.97/300.57 9434[0:SpR:8855.0,8813.0] || -> c_Fun_Oinj__on(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),tc_bool,w)*.
% 299.97/300.57 770[0:Rew:699.0,563.0,662.0,563.0] || -> equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),hAPP(c_fequal(v),u))),hAPP(c_Set_Oinsert(u,v),w))**.
% 299.97/300.57 9428[0:SpR:8855.0,8828.0] || -> equal(hAPP(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v),c_False)**.
% 299.97/300.57 9426[0:SpR:8855.0,8795.0] || -> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_bool)*.
% 299.97/300.57 8855[0:SSi:8811.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool))*.
% 299.97/300.57 9018[0:SpL:8938.0,666.0] || hBOOL(c_in(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),tc_bool))* -> .
% 299.97/300.57 740[0:Rew:662.0,223.3] class_Orderings_Olinorder(u) || c_Finite__Set_Ofinite(v,u) -> hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(v,u),v,u))* equal(v,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.57 9001[0:SpR:8938.0,8938.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool))*.
% 299.97/300.57 9000[0:SpR:8938.0,8783.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool))*.
% 299.97/300.57 8844[0:SpL:8783.0,666.0] || hBOOL(c_in(u,c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),tc_bool))* -> .
% 299.97/300.57 8827[0:SpR:8783.0,8783.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool))*.
% 299.97/300.57 741[0:Rew:662.0,224.3] class_Orderings_Olinorder(u) || c_Finite__Set_Ofinite(v,u) -> hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(v,u),v,u))* equal(v,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.57 8998[0:SpR:8938.0,3179.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),c_False)**.
% 299.97/300.57 8986[0:SpR:8938.0,665.0] || -> c_Fun_Oinj__on(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),tc_bool,w)*.
% 299.97/300.57 9002[0:SpR:8938.0,657.0] || -> equal(hAPP(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v),c_False)**.
% 299.97/300.57 8999[0:SpR:8938.0,5206.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_bool),c_False)**.
% 299.97/300.57 427[0:Inp] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x))* -> hBOOL(hAPP(v,x)) hBOOL(hAPP(w,x)).
% 299.97/300.57 8968[0:SpR:8938.0,669.0] || -> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_bool)*.
% 299.97/300.57 8825[0:SpR:8783.0,3179.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),c_False)**.
% 299.97/300.57 8813[0:SpR:8783.0,665.0] || -> c_Fun_Oinj__on(u,c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),tc_bool,w)*.
% 299.97/300.57 737[0:Rew:662.0,85.2] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,v,u),c_COMBK(c_False,tc_bool,u)).
% 299.97/300.57 8828[0:SpR:8783.0,657.0] || -> equal(hAPP(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v),c_False)**.
% 299.97/300.57 8826[0:SpR:8783.0,5206.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_bool),c_False)**.
% 299.97/300.57 8795[0:SpR:8783.0,669.0] || -> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_bool)*.
% 299.97/300.57 738[0:Rew:662.0,86.2] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> equal(c_SetInterval_Oord__class_OatLeastLessThan(w,v,u),c_COMBK(c_False,tc_bool,u)).
% 299.97/300.57 5328[0:SpL:5266.1,4380.1] class_Orderings_Oorder(u) || hBOOL(v) equal(c_COMBK(v,w,x),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u))* -> .
% 299.97/300.57 5293[0:SpR:5266.1,699.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_Set_Oinsert(v,u),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u)),hAPP(c_fequal(u),v))**.
% 299.97/300.57 5196[0:SpL:5136.1,4380.1] class_Orderings_Oorder(u) || hBOOL(v) equal(c_COMBK(v,w,x),c_SetInterval_Oord__class_OatLeastLessThan(y,y,u))* -> .
% 299.97/300.57 5161[0:SpR:5136.1,699.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_Set_Oinsert(v,u),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u)),hAPP(c_fequal(u),v))**.
% 299.97/300.57 739[0:Rew:662.0,105.2] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(w,v,u),c_COMBK(c_False,tc_bool,u)).
% 299.97/300.57 8307[0:SSi:8292.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),w)** -> c_Hoare__Mirabelle_Ohoare__derivs(v,w,u).
% 299.97/300.57 8163[0:SpL:341.0,5903.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),v)** -> c_Hoare__Mirabelle_Ohoare__derivs(v,w,u).
% 299.97/300.57 7115[0:SpR:5398.0,3270.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),w),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),v)*.
% 299.97/300.57 7112[0:SpR:5398.0,3816.1] || hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x),w))* -> hBOOL(hAPP(v,u)).
% 299.97/300.57 744[0:Rew:662.0,519.0,662.0,519.0] || -> equal(c_Product__Type_OSigma(u,c_COMBK(c_COMBK(c_False,tc_bool,v),tc_fun(v,tc_bool),w),w,v),c_COMBK(c_False,tc_bool,tc_prod(w,v)))**.
% 299.97/300.57 8390[0:Res:6015.0,252.0] || -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)),w))*.
% 299.97/300.57 6015[0:Res:237.0,325.0] || -> hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Set_Oinsert(u,v),x)),v))*.
% 299.97/300.57 5961[0:SpL:5136.1,5958.0] class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w)*+ -> equal(w,c_COMBK(c_False,tc_bool,u))*.
% 299.97/300.57 5960[0:SpL:5266.1,5958.0] class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w)*+ -> equal(w,c_COMBK(c_False,tc_bool,u))*.
% 299.97/300.57 454[0:Inp] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))*.
% 299.97/300.57 5953[0:SSi:5946.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),v)** -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,u).
% 299.97/300.57 8269[0:Res:8172.1,1431.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v)*+ -> c_Hoare__Mirabelle_Ohoare__derivs(v,w,u)*.
% 299.97/300.57 8206[0:MRR:8203.1,668.0] || equal(u,c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(v)))*+ -> c_Hoare__Mirabelle_Ohoare__derivs(w,u,v)*.
% 299.97/300.57 452[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w).
% 299.97/300.57 5903[0:SSi:5896.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),w)** -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,u).
% 299.97/300.57 5279[0:SpR:5266.1,685.0] class_Orderings_Oorder(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u)),v)**.
% 299.97/300.57 5278[0:SpR:5266.1,683.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.57 453[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v),w).
% 299.97/300.57 5277[0:SpR:5266.1,682.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.57 5276[0:SpR:5266.1,684.0] class_Orderings_Oorder(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),w),w)**.
% 299.97/300.57 5148[0:SpR:5136.1,685.0] class_Orderings_Oorder(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u)),v)**.
% 299.97/300.57 5147[0:SpR:5136.1,683.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.57 747[0:Rew:662.0,571.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_COMBK(c_COMBK(c_False,tc_bool,v),tc_fun(v,tc_bool),w),w,tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.57 5146[0:SpR:5136.1,682.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.57 5145[0:SpR:5136.1,684.0] class_Orderings_Oorder(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),w),w)**.
% 299.97/300.57 5861[0:Res:5848.1,449.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),v),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.57 742[0:Rew:662.0,394.1,662.0,394.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),c_COMBK(c_False,tc_bool,u))** -> equal(w,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.57 5789[0:Res:5772.1,164.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),v),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.57 5674[0:Res:368.1,164.1] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),v),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.57 7297[0:AED:250.0,7288.1] || equal(c_COMBK(c_False,tc_bool,u),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))** -> .
% 299.97/300.57 743[0:Rew:662.0,395.1,662.0,395.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),c_COMBK(c_False,tc_bool,u))** -> equal(v,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.57 5527[0:Res:368.1,166.1] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.57 5441[0:Res:465.1,449.1] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),v),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.57 5398[0:SSi:5397.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)),v)**.
% 299.97/300.57 5371[0:Res:465.1,451.1] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.57 765[0:Rew:699.0,546.1,662.0,546.1] || c_Complete__Lattice_Ocomplete__lattice(u,v,w,x,y,z,x1,x2,x3)*+ -> equal(hAPP(v,hAPP(c_fequal(x3),x4)),x4)**.
% 299.97/300.57 5311[0:SpL:5266.1,687.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u)))* -> .
% 299.97/300.57 5275[0:SpR:5266.1,4252.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(c_False,hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),w))*.
% 299.97/300.57 5179[0:SpL:5136.1,687.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u)))* -> .
% 299.97/300.57 5144[0:SpR:5136.1,4252.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(c_False,hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),w))*.
% 299.97/300.57 764[0:Rew:699.0,545.1,662.0,545.1] || c_Complete__Lattice_Ocomplete__lattice(u,v,w,x,y,z,x1,x2,x3)*+ -> equal(hAPP(u,hAPP(c_fequal(x3),x4)),x4)**.
% 299.97/300.57 267[0:Inp] || c_Complete__Lattice_Ocomplete__lattice(u,v,w,x,y,z,x1,x2,x3)* -> equal(hAPP(v,c_Orderings_Otop__class_Otop(tc_fun(x3,tc_bool))),x2).
% 299.97/300.57 5267[0:SSi:5258.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_COMBK(c_False,tc_bool,v),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))**.
% 299.97/300.57 6924[0:SSi:6916.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)),hAPP(c_lessequals(tc_bool),c_False))** -> .
% 299.97/300.57 5137[0:SSi:5128.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_COMBK(c_False,tc_bool,v),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))**.
% 299.97/300.57 6062[0:SpR:3333.0,6050.0] || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),hAPP(c_fequal(v),x))),x))*.
% 299.97/300.57 268[0:Inp] || c_Complete__Lattice_Ocomplete__lattice(u,v,w,x,y,z,x1,x2,x3)* -> equal(hAPP(u,c_Orderings_Otop__class_Otop(tc_fun(x3,tc_bool))),x1).
% 299.97/300.57 5325[0:SpL:5266.1,694.1] class_Orderings_Oorder(u) || hBOOL(hAPP(v,w))* equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u))*+ -> .
% 299.97/300.57 5292[0:SpR:5266.1,677.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u)),v)**.
% 299.97/300.57 5193[0:SpL:5136.1,694.1] class_Orderings_Oorder(u) || hBOOL(hAPP(v,w))* equal(v,c_SetInterval_Oord__class_OatLeastLessThan(x,x,u))*+ -> .
% 299.97/300.57 5160[0:SpR:5136.1,677.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u)),v)**.
% 299.97/300.57 732[0:Rew:662.0,373.1] || c_Complete__Lattice_Ocomplete__lattice(u,v,w,x,y,z,x1,x2,x3)* -> equal(hAPP(u,c_COMBK(c_False,tc_bool,x3)),x2).
% 299.97/300.57 6796[0:MRR:6795.3,672.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))))* -> .
% 299.97/300.57 5860[0:Res:5848.1,166.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v),v)**.
% 299.97/300.57 6673[0:MRR:6672.3,672.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))))* -> .
% 299.97/300.57 731[0:Rew:662.0,374.1] || c_Complete__Lattice_Ocomplete__lattice(u,v,w,x,y,z,x1,x2,x3)* -> equal(hAPP(v,c_COMBK(c_False,tc_bool,x3)),x1).
% 299.97/300.57 5792[0:Res:5772.1,451.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v),v)**.
% 299.97/300.57 5685[0:Res:465.1,164.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Orderings_Otop__class_Otop(u)),v)**.
% 299.97/300.57 6473[0:MRR:6472.3,672.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))))* -> .
% 299.97/300.57 723[0:Rew:662.0,568.2] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(v,c_COMBK(c_False,tc_bool,w)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_COMBK(x,u,w),w,u),x)**.
% 299.97/300.57 5538[0:Res:465.1,166.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v),v)**.
% 299.97/300.57 5430[0:Res:368.1,449.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Orderings_Obot__class_Obot(u)),v)**.
% 299.97/300.57 6337[0:MRR:6336.3,672.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))))* -> .
% 299.97/300.57 5360[0:Res:368.1,451.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v),v)**.
% 299.97/300.57 722[0:Rew:662.0,570.2] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(v,c_COMBK(c_False,tc_bool,w)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_COMBK(x,u,w),w,u),x)**.
% 299.97/300.57 5274[0:SpR:5266.1,676.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),w))*.
% 299.97/300.57 5143[0:SpR:5136.1,676.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),w))*.
% 299.97/300.57 6216[0:Res:6094.1,1152.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_COMBK(c_False,tc_bool,v))* -> .
% 299.97/300.57 6094[0:AED:250.0,6091.2] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(c_False,hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v))*.
% 299.97/300.57 613[0:Inp] || -> equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x)),hAPP(c_Set_Oinsert(w,v),hAPP(c_Set_Oinsert(u,v),x)))*.
% 299.97/300.57 5783[0:Res:5772.1,1141.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_False))*.
% 299.97/300.57 5310[0:SpL:5266.1,971.0] class_Orderings_Oorder(u) || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u))))* -> .
% 299.97/300.57 6050[0:Res:6010.0,252.0] || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x)),w))*.
% 299.97/300.57 6010[0:Res:409.0,325.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),hAPP(c_Set_Oinsert(u,w),x)),w))*.
% 299.97/300.57 325[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),x))* -> hBOOL(c_in(v,x,u)).
% 299.97/300.57 5178[0:SpL:5136.1,971.0] class_Orderings_Oorder(u) || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u))))* -> .
% 299.97/300.57 5317[0:SpL:5266.1,673.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Finite__Set_Ofold1Set(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),u),x))* -> .
% 299.97/300.57 5273[0:SpR:5266.1,593.0] class_Orderings_Oorder(u) || -> c_Wellfounded_OwfP(c_COMBK(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),tc_fun(u,tc_bool),u),u)*.
% 299.97/300.57 5958[0:SSi:5957.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(c_COMBK(c_False,tc_bool,u),v)* -> equal(v,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.57 165[0:Inp] class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))*.
% 299.97/300.57 5185[0:SpL:5136.1,673.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Finite__Set_Ofold1Set(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),u),x))* -> .
% 299.97/300.57 5142[0:SpR:5136.1,593.0] class_Orderings_Oorder(u) || -> c_Wellfounded_OwfP(c_COMBK(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),tc_fun(u,tc_bool),u),u)*.
% 299.97/300.57 5297[0:SpR:5266.1,664.0] class_Orderings_Oorder(u) || -> c_Finite__Set_Ofold__graph(v,w,c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u),w,u,y)*.
% 299.97/300.57 5296[0:SpR:5266.1,663.0] class_Orderings_Oorder(u) || -> c_Nitpick_Ofold__graph_H(v,w,c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u),w,u,y)*.
% 299.97/300.57 450[0:Inp] class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))*.
% 299.97/300.57 5165[0:SpR:5136.1,664.0] class_Orderings_Oorder(u) || -> c_Finite__Set_Ofold__graph(v,w,c_SetInterval_Oord__class_OatLeastLessThan(x,x,u),w,u,y)*.
% 299.97/300.57 5164[0:SpR:5136.1,663.0] class_Orderings_Oorder(u) || -> c_Nitpick_Ofold__graph_H(v,w,c_SetInterval_Oord__class_OatLeastLessThan(x,x,u),w,u,y)*.
% 299.97/300.57 5335[0:Obv:5312.0] class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u))* -> .
% 299.97/300.57 5848[0:MRR:5847.1,422.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.57 516[0:Inp] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,u)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(c_Complete__Lattice_OSup__class_OSup(u),w)))*.
% 299.97/300.57 5815[0:Obv:5810.0] class_Orderings_Oorder(u) || equal(hAPP(c_fequal(u),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u))* -> .
% 299.97/300.57 5802[0:Obv:5797.0] class_Orderings_Oorder(u) || equal(hAPP(c_fequal(u),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u))* -> .
% 299.97/300.57 5202[0:Obv:5180.0] class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u))* -> .
% 299.97/300.57 5772[0:MRR:5771.1,422.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v))*.
% 299.97/300.57 457[0:Inp] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,u)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),w)),v))*.
% 299.97/300.57 5319[0:SpL:5266.1,4286.0] class_Orderings_Oorder(u) || equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u))* -> .
% 299.97/300.57 5187[0:SpL:5136.1,4286.0] class_Orderings_Oorder(u) || equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u))* -> .
% 299.97/300.57 5334[0:SSi:5299.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),c_False,v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.57 5313[0:SpL:5266.1,4283.0] class_Orderings_Oorder(u) || equal(hAPP(c_lessequals(tc_bool),c_False),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u))* -> .
% 299.97/300.57 164[0:Inp] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v).
% 299.97/300.57 5201[0:SSi:5167.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),c_False,v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.57 5181[0:SpL:5136.1,4283.0] class_Orderings_Oorder(u) || equal(hAPP(c_lessequals(tc_bool),c_False),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u))* -> .
% 299.97/300.57 5333[0:Obv:5289.0] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u))*.
% 299.97/300.57 5332[0:Obv:5288.0] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u))*.
% 299.97/300.57 166[0:Inp] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),v).
% 299.97/300.57 5200[0:Obv:5157.0] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u))*.
% 299.97/300.57 5316[0:SpL:5266.1,666.0] class_Orderings_Oorder(u) || hBOOL(c_in(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),u))* -> .
% 299.97/300.57 5290[0:SpR:5266.1,668.0] class_Orderings_Oorder(tc_Hoare__Mirabelle_Otriple(u)) || -> c_Hoare__Mirabelle_Ohoare__derivs(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_Hoare__Mirabelle_Otriple(u)),u)*.
% 299.97/300.57 5184[0:SpL:5136.1,666.0] class_Orderings_Oorder(u) || hBOOL(c_in(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),u))* -> .
% 299.97/300.57 449[0:Inp] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),w).
% 299.97/300.57 5158[0:SpR:5136.1,668.0] class_Orderings_Oorder(tc_Hoare__Mirabelle_Otriple(u)) || -> c_Hoare__Mirabelle_Ohoare__derivs(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_Hoare__Mirabelle_Otriple(u)),u)*.
% 299.97/300.57 5295[0:SpR:5266.1,690.0] class_Orderings_Oorder(t_a) || -> equal(c_in(v_x,c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,t_a),t_a),c_False)**.
% 299.97/300.57 5291[0:SpR:5266.1,665.0] class_Orderings_Oorder(u) || -> c_Fun_Oinj__on(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),u,x)*.
% 299.97/300.57 5302[0:SpR:5266.1,657.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w),c_False)**.
% 299.97/300.57 451[0:Inp] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w).
% 299.97/300.57 5272[0:SpR:5266.1,669.0] class_Orderings_Oorder(u) || -> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),u)*.
% 299.97/300.57 5331[0:SSi:5300.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),c_False)**.
% 299.97/300.57 5330[0:SSi:5301.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_bool),c_False)**.
% 299.97/300.57 5266[0:Obv:5251.0] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),c_COMBK(c_False,tc_bool,u))*.
% 299.97/300.57 734[0:Rew:662.0,140.1] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),c_COMBK(c_False,tc_bool,u)).
% 299.97/300.57 5163[0:SpR:5136.1,690.0] class_Orderings_Oorder(t_a) || -> equal(c_in(v_x,c_SetInterval_Oord__class_OatLeastLessThan(u,u,t_a),t_a),c_False)**.
% 299.97/300.57 5159[0:SpR:5136.1,665.0] class_Orderings_Oorder(u) || -> c_Fun_Oinj__on(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),u,x)*.
% 299.97/300.57 5169[0:SpR:5136.1,657.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w),c_False)**.
% 299.97/300.57 5141[0:SpR:5136.1,669.0] class_Orderings_Oorder(u) || -> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),u)*.
% 299.97/300.57 724[0:Rew:662.0,500.1] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* equal(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_COMBK(c_False,tc_bool,u)).
% 299.97/300.57 5198[0:SSi:5168.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),c_False)**.
% 299.97/300.57 5199[0:SSi:5175.1,5175.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_bool),c_False)**.
% 299.97/300.57 5136[0:Obv:5121.0] class_Orderings_Oorder(u) || -> equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u))*.
% 299.97/300.57 733[0:Rew:662.0,176.1] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u)).
% 299.97/300.57 4528[0:SpR:1118.0,4377.1] || hBOOL(c_in(c_False,u,v)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v,x),u),c_False))*.
% 299.97/300.57 4845[0:Res:465.1,4686.0] class_Orderings_Otop(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_lessequals(u),x)),c_False))*.
% 299.97/300.57 4825[0:Res:495.1,4686.0] class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_lessequals(u),x)),c_False))*.
% 299.97/300.57 5078[0:Res:320.0,496.1] || hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),x))* -> hBOOL(hAPP(u,x)).
% 299.97/300.57 496[0:Inp] || hBOOL(hAPP(u,v))* hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),u),x))*+ -> hBOOL(hAPP(x,v))*.
% 299.97/300.57 4824[0:Res:494.1,4686.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_lessequals(u),x)),c_False))*.
% 299.97/300.57 4823[0:Res:1279.1,4686.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_lessequals(u),x)),c_False))*.
% 299.97/300.57 4822[0:Res:1319.1,4686.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_lessequals(u),x)),c_False))*.
% 299.97/300.57 4821[0:Res:1811.1,4686.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_lessequals(u),x)),c_False))*.
% 299.97/300.57 79[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))*+ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v))* -> .
% 299.97/300.57 4820[0:Res:2901.1,4686.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_lessequals(u),x)),c_False))*.
% 299.97/300.57 4785[0:SpL:1916.0,4686.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),c_False))*.
% 299.97/300.57 80[0:Inp] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))*+ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v))* -> .
% 299.97/300.57 4819[0:Res:491.0,4686.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_lessequals(tc_fun(w,tc_bool)),x)),c_False))*.
% 299.97/300.57 4836[0:Res:598.0,4686.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_Set_Oinsert(w,x),y)),c_False))*.
% 299.97/300.57 4818[0:Res:659.0,4686.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_fequal(w),x)),c_False))*.
% 299.97/300.57 155[0:Inp] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))*+ hBOOL(hAPP(hAPP(c_lessequals(u),w),v))* -> .
% 299.97/300.57 4838[0:Res:1318.0,4686.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_lessequals(tc_bool),w)),c_False))*.
% 299.97/300.57 4686[0:Res:253.1,4527.0] || hBOOL(hAPP(u,v))*+ -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),u),c_False))*.
% 299.97/300.57 82[0:Inp] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))*+ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v))* -> .
% 299.97/300.57 4707[0:Res:4246.0,4527.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_False))*.
% 299.97/300.57 4150[0:Res:4138.1,3854.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))**+ -> hBOOL(hAPP(v,x))*.
% 299.97/300.57 158[0:Inp] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))*+ hBOOL(hAPP(hAPP(c_lessequals(u),w),v))* -> .
% 299.97/300.57 4149[0:Res:4138.1,3855.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))**+ -> hBOOL(hAPP(w,x))*.
% 299.97/300.57 4566[0:SpL:1094.0,4436.0] || equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False))** -> equal(v,c_False).
% 299.97/300.57 26[0:Inp] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))*.
% 299.97/300.57 4436[0:Rew:34.0,4432.1] || equal(c_Fun_Ofun__upd(u,v,w,x,y),c_Fun_Ofun__upd(u,v,z,x,y))* -> equal(z,w).
% 299.97/300.57 4377[0:Res:361.1,252.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(x,w,y),v),hAPP(x,u)))*.
% 299.97/300.57 4445[0:Res:4255.2,1152.0] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_COMBK(c_False,tc_bool,v))* -> .
% 299.97/300.57 730[0:Rew:662.0,381.1,662.0,381.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_COMBK(c_False,tc_bool,u)))* -> equal(v,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.57 4440[0:Res:4254.2,1152.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_COMBK(c_False,tc_bool,v))* -> .
% 299.97/300.57 4402[0:Res:4253.2,1152.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_COMBK(c_False,tc_bool,v))* -> .
% 299.97/300.57 4255[0:AED:250.0,4237.3] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(c_in(c_False,hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v))*.
% 299.97/300.57 4254[0:AED:250.0,4236.3] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(c_in(c_False,hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v))*.
% 299.97/300.57 20[0:Inp] || -> equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(u,v,w,x,y),v,z,x,y),c_Fun_Ofun__upd(u,v,z,x,y))**.
% 299.97/300.57 4253[0:AED:250.0,4235.3] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(c_in(c_False,hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v))*.
% 299.97/300.57 4389[0:Res:4252.0,1152.0] || equal(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),c_COMBK(c_False,tc_bool,v))* -> .
% 299.97/300.57 4386[0:Res:4251.1,1152.0] class_Orderings_Obot(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_COMBK(c_False,tc_bool,v))* -> .
% 299.97/300.57 4393[0:Res:178.1,68.0] class_Finite__Set_Ofinite_Ofinite(u) || c_Fun_Oinj__on(v,w,x,u)* -> c_Finite__Set_Ofinite(w,x).
% 299.97/300.57 68[0:Inp] || c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(u,v,w),x),w)* c_Fun_Oinj__on(u,x,v,w) -> c_Finite__Set_Ofinite(x,v).
% 299.97/300.57 4380[0:Res:4249.1,1152.0] || hBOOL(u) equal(c_COMBK(u,v,w),c_COMBK(c_False,tc_bool,x))* -> .
% 299.97/300.57 4252[0:AED:250.0,4240.1] || -> hBOOL(c_in(c_False,hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v))*.
% 299.97/300.57 4251[0:AED:250.0,4238.2] class_Orderings_Obot(u) || -> hBOOL(c_in(c_False,hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v))*.
% 299.97/300.57 4249[0:AED:250.0,4234.2] || hBOOL(u) -> hBOOL(c_in(c_False,c_COMBK(u,v,w),x))*.
% 299.97/300.57 361[0:Inp] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(hAPP(x,u),hAPP(c_Set_Oimage(x,w,y),v),y))*.
% 299.97/300.57 4286[0:Res:4246.0,1152.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,v))* -> .
% 299.97/300.57 4283[0:Res:4245.0,1152.0] || equal(hAPP(c_lessequals(tc_bool),c_False),c_COMBK(c_False,tc_bool,u))* -> .
% 299.97/300.57 4246[0:AED:250.0,4241.1] || -> hBOOL(c_in(c_False,c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v))*.
% 299.97/300.57 4245[0:AED:250.0,4239.1] || -> hBOOL(c_in(c_False,hAPP(c_lessequals(tc_bool),c_False),u))*.
% 299.97/300.57 182[0:Inp] || c_Fun_Oinj__on(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x),v,y)* -> c_Fun_Oinj__on(u,x,v,y).
% 299.97/300.57 4131[0:Res:253.1,408.0] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),w),x))* -> hBOOL(c_in(x,w,v)) equal(x,u).
% 299.97/300.57 4172[0:SpL:280.0,183.0] || c_Fun_Oinj__on(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),v,w)*+ -> c_Fun_Oinj__on(u,x,v,w)*.
% 299.97/300.57 4145[0:Res:4138.1,1152.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) equal(u,c_COMBK(c_False,tc_bool,v))* -> .
% 299.97/300.57 183[0:Inp] || c_Fun_Oinj__on(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x),v,y)* -> c_Fun_Oinj__on(u,w,v,y).
% 299.97/300.57 4154[0:AED:250.0,4148.2] class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))** -> .
% 299.97/300.57 4139[0:MRR:3062.1,4138.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))* -> equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),u).
% 299.97/300.57 4153[0:AED:250.0,4143.1] || equal(hAPP(c_fequal(u),v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))** -> .
% 299.97/300.57 4138[0:MRR:4137.1,422.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) -> hBOOL(c_in(w,u,v))*.
% 299.97/300.57 408[0:Inp] || hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),x),w))* -> hBOOL(c_in(u,x,w)) equal(u,v).
% 299.97/300.57 4011[0:Res:1276.2,1141.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_False))*.
% 299.97/300.57 4010[0:Res:1294.2,1141.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_False))*.
% 299.97/300.57 4009[0:Res:1310.2,1141.0] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_False))*.
% 299.97/300.57 4098[0:Obv:4097.1] class_OrderedGroup_Oab__group__add(tc_fun(u,tc_bool)) || -> .
% 299.97/300.57 247[0:Inp] class_OrderedGroup_Oab__group__add(u) || equal(hAPP(c_HOL_Ominus__class_Ominus(v,u),w),hAPP(c_HOL_Ominus__class_Ominus(x,u),x))* -> equal(v,w).
% 299.97/300.57 4013[0:Res:676.0,1141.0] || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_lessequals(tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w))),c_False))*.
% 299.97/300.57 4012[0:Res:368.1,1141.0] class_Orderings_Obot(u) || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_False))*.
% 299.97/300.57 3996[0:SpL:657.0,1141.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),c_COMBK(u,x,y)),c_False))*.
% 299.97/300.57 4008[0:Res:442.0,1141.0] || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_False))*.
% 299.97/300.57 767[0:Rew:699.0,617.1,662.0,617.1] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oinsert(v,tc_Hoare__Mirabelle_Otriple(w)),x),w)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(w)),v),w).
% 299.97/300.57 4015[0:Res:935.0,1141.0] || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_lessequals(tc_bool),c_False)),c_False))*.
% 299.97/300.57 1141[0:Res:618.1,531.0] || hBOOL(hAPP(u,c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(v,w),u))))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),u),c_False)).
% 299.97/300.57 1614[0:SpL:712.1,1600.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,u),v))* -> equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_fequal(u),v)),v).
% 299.97/300.57 3956[0:Res:253.1,286.1] || hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),x))* hBOOL(c_in(x,w,v)) -> .
% 299.97/300.57 286[0:Inp] || hBOOL(c_in(u,v,w)) hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(w,tc_bool)),v),w))* -> .
% 299.97/300.57 928[0:SpR:540.1,35.0] class_Orderings_Obot(u) || -> equal(c_Fun_Ofun__upd(c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),v_x,c_Orderings_Obot__class_Obot(u),v,w),c_Orderings_Obot__class_Obot(tc_fun(t_a,u)))**.
% 299.97/300.57 925[0:SpR:443.1,35.0] class_Orderings_Otop(u) || -> equal(c_Fun_Ofun__upd(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v_x,c_Orderings_Otop__class_Otop(u),v,w),c_Orderings_Otop__class_Otop(tc_fun(t_a,u)))**.
% 299.97/300.57 1975[0:SpR:1919.1,35.0] class_Lattices_Olattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),v,v,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))**.
% 299.97/300.57 3815[0:SpR:757.0,3804.1] || hBOOL(c_in(u,hAPP(c_fequal(v),w),v))*+ -> hBOOL(hAPP(hAPP(c_Set_Oinsert(w,v),x),u))*.
% 299.97/300.57 474[0:Inp] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),v),w))*.
% 299.97/300.57 3855[0:SSi:3848.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),x),v))* -> hBOOL(hAPP(x,u)).
% 299.97/300.57 3854[0:SSi:3849.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),x),v))* -> hBOOL(hAPP(w,u)).
% 299.97/300.57 3816[0:SpR:341.0,3804.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),v),u))*.
% 299.97/300.57 3804[0:Res:475.1,252.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),x),u))*.
% 299.97/300.57 475[0:Inp] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),x),w))*.
% 299.97/300.57 1945[0:SpR:1918.1,35.0] class_Lattices_Olattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),v,v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))**.
% 299.97/300.57 1533[0:SpR:34.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(u,v,w,x,y),z,x1),c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool))),w))*.
% 299.97/300.57 1202[0:SpL:712.1,718.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Finite__Set_Ofold1Set(v,c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),u),x))* -> equal(w,x).
% 299.97/300.57 910[0:SpR:50.1,35.0] class_Lattices_Olower__semilattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),v,v,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))**.
% 299.97/300.57 133[0:Inp] || c_Finite__Set_Ofinite(u,v) c_Finite__Set_Ofinite(w,v) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w),v)*.
% 299.97/300.57 908[0:SpR:255.1,35.0] class_Lattices_Oupper__semilattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),v,v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))**.
% 299.97/300.57 3674[0:SpR:712.1,3579.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oinsert(w,u),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),u))*.
% 299.97/300.57 3649[0:SpR:721.0,678.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_COMBK(c_False,tc_bool,u),v,u,tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w))**.
% 299.97/300.57 719[0:Rew:662.0,391.1,662.0,391.0] || equal(hAPP(c_Set_Oimage(u,v,w),x),c_COMBK(c_False,tc_bool,w))** -> equal(x,c_COMBK(c_False,tc_bool,v)).
% 299.97/300.57 3665[0:SpR:712.1,3578.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,u),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)),w))*.
% 299.97/300.57 3638[0:SpR:712.1,3637.0] class_Orderings_Oorder(u) || -> c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(v,u),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)),u)*.
% 299.97/300.57 3579[0:SpR:3333.0,416.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),hAPP(c_fequal(w),u)),w))*.
% 299.97/300.57 3578[0:SpR:3333.0,598.0] || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w)),w))*.
% 299.97/300.57 3637[0:MRR:3586.0,1061.0] || -> c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w)),v)*.
% 299.97/300.57 3333[0:SpR:2651.0,757.0] || -> equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w)),hAPP(c_Set_Oinsert(w,v),hAPP(c_fequal(v),u)))*.
% 299.97/300.57 2706[0:SpR:712.1,2652.0] class_Orderings_Oorder(tc_Hoare__Mirabelle_Otriple(u)) || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(v,tc_Hoare__Mirabelle_Otriple(u)),w),c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_Hoare__Mirabelle_Otriple(u)),u)*.
% 299.97/300.57 1493[0:Res:1385.0,599.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x),v),w)*.
% 299.97/300.57 28[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))*.
% 299.97/300.57 1485[0:Res:1384.0,599.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x),v)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,x,v).
% 299.97/300.57 1473[0:Res:1383.0,599.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x),v)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,w,v).
% 299.97/300.57 3479[0:SSi:3477.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* c_Finite__Set_Ofinite(w,u) -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.57 3478[0:SSi:3476.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,u).
% 299.97/300.57 29[0:Inp] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))*.
% 299.97/300.57 1447[0:Res:1382.0,599.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),v),x),w)*.
% 299.97/300.57 3396[0:SSi:3383.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),w),v)*.
% 299.97/300.57 3395[0:SSi:3384.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x),v)*.
% 299.97/300.57 3270[0:SpR:341.0,1476.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x)),x,v)*.
% 299.97/300.57 525[0:Inp] || -> equal(c_Hoare__Mirabelle_Otriple_Otriple__rec(u,c_Hoare__Mirabelle_Otriple_Otriple(v,w,x,y),y,z),hAPP(hAPP(hAPP(u,v),w),x))**.
% 299.97/300.57 2651[0:SpR:757.0,341.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_fequal(u),w)),hAPP(c_Set_Oinsert(w,u),v))**.
% 299.97/300.57 1547[0:SpR:699.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(c_fequal(v),u)))*.
% 299.97/300.57 1486[0:Res:1384.0,597.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(u)),x)),x,u)*.
% 299.97/300.57 1476[0:Rew:411.0,1474.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x)),w,v)*.
% 299.97/300.57 526[0:Inp] || -> equal(c_Hoare__Mirabelle_Otriple_Otriple__case(u,c_Hoare__Mirabelle_Otriple_Otriple(v,w,x,y),y,z),hAPP(hAPP(hAPP(u,v),w),x))**.
% 299.97/300.57 1426[0:SpR:714.1,248.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.57 1425[0:SpR:710.1,248.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.57 1410[0:SpR:677.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.57 1038[0:SpR:357.1,35.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(u),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(u),v,w),c_Complete__Lattice_OSup__class_OSup(u))**.
% 299.97/300.57 137[0:Inp] || c_Fun_Oinj__on(u,v,w,x) -> c_Fun_Oinj__on(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),y),w,x)*.
% 299.97/300.57 3223[0:Res:253.1,284.0] || hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),x))* -> hBOOL(c_in(x,u,v)).
% 299.97/300.57 3225[0:SpR:3214.0,248.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v))*.
% 299.97/300.57 3226[0:SpR:3214.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_False))*.
% 299.97/300.57 284[0:Inp] || hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x),w))* -> hBOOL(c_in(u,v,w)).
% 299.97/300.57 1036[0:SpR:441.1,35.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(u),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_Orderings_Obot__class_Obot(u),v,w),c_Complete__Lattice_OInf__class_OInf(u))**.
% 299.97/300.57 1034[0:SpR:683.1,35.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(u),c_COMBK(c_False,tc_bool,u),c_Orderings_Otop__class_Otop(u),v,w),c_Complete__Lattice_OInf__class_OInf(u))**.
% 299.97/300.57 135[0:Inp] || c_Finite__Set_Ofinite(u,v) c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),u),v)* -> c_Finite__Set_Ofinite(w,v).
% 299.97/300.57 1032[0:SpR:682.1,35.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(u),c_COMBK(c_False,tc_bool,u),c_Orderings_Obot__class_Obot(u),v,w),c_Complete__Lattice_OSup__class_OSup(u))**.
% 299.97/300.57 57[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* c_Finite__Set_Ofinite(w,u) -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.57 21[0:Inp] class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),c_Orderings_Otop__class_Otop(u))** -> equal(v,c_Orderings_Otop__class_Otop(u)).
% 299.97/300.57 3071[0:SpR:3059.1,194.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))*+ c_Finite__Set_Ofinite(u,v)* -> c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),v)*.
% 299.97/300.57 3100[0:MRR:3099.1,442.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))*+ -> hBOOL(hAPP(u,w))*.
% 299.97/300.57 3059[0:SSi:3053.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) -> equal(hAPP(c_Set_Oinsert(w,v),u),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))**.
% 299.97/300.57 22[0:Inp] class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),c_Orderings_Otop__class_Otop(u))** -> equal(w,c_Orderings_Otop__class_Otop(u)).
% 299.97/300.57 2699[0:SpR:2659.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))))*.
% 299.97/300.57 2002[0:SpR:1923.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),v))*.
% 299.97/300.57 1528[0:SpR:256.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),v))*.
% 299.97/300.57 1134[0:Rew:728.0,1130.0] || hBOOL(hAPP(c_fequal(u),c_False)) -> hBOOL(hAPP(c_fequal(u),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_COMBC(c_fequal(u),u,u,tc_bool))))*.
% 299.97/300.57 369[0:Inp] class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),c_Orderings_Obot__class_Obot(u))** -> equal(v,c_Orderings_Obot__class_Obot(u)).
% 299.97/300.57 1133[0:Rew:728.0,1132.1] || hBOOL(hAPP(c_fequal(u),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(c_COMBC(c_fequal(u),u,u,tc_bool))))* -> hBOOL(hAPP(c_fequal(u),c_False)).
% 299.97/300.57 2594[0:Obv:2585.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),v))*.
% 299.97/300.57 2970[0:SSi:2969.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_Orderings_Otop__class_Otop(tc_bool),c_False)** -> .
% 299.97/300.57 2964[0:AED:250.0,2963.2] class_Lattices_Obounded__lattice(u) || equal(c_Orderings_Obot__class_Obot(u),c_Orderings_Otop__class_Otop(u))** -> .
% 299.97/300.57 370[0:Inp] class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),c_Orderings_Obot__class_Obot(u))** -> equal(w,c_Orderings_Obot__class_Obot(u)).
% 299.97/300.57 2495[0:Obv:2493.0] class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u))* -> equal(v,w).
% 299.97/300.57 2917[0:SpR:1523.1,2652.0] class_Orderings_Oorder(tc_Hoare__Mirabelle_Otriple(u)) || -> c_Hoare__Mirabelle_Ohoare__derivs(c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_Hoare__Mirabelle_Otriple(u)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(u)),v),u)*.
% 299.97/300.57 1523[0:SpR:712.1,1461.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_Set_Oinsert(v,u),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))**.
% 299.97/300.57 2901[0:Fac:518.1,518.2] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),v))*.
% 299.97/300.57 518[0:Inp] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(hAPP(hAPP(c_lessequals(u),w),v))*.
% 299.97/300.57 2648[0:SpR:757.0,429.1] || hBOOL(hAPP(hAPP(c_fequal(u),v),w)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,u),x),w))*.
% 299.97/300.57 2650[0:SpR:757.0,236.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),hAPP(c_Set_Oinsert(v,u),w)))*.
% 299.97/300.57 156[0:Inp] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v))*.
% 299.97/300.57 2707[0:SpR:418.1,2652.0] || hBOOL(c_in(u,v,tc_Hoare__Mirabelle_Otriple(w))) -> c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(w)),u),w)*.
% 299.97/300.57 2678[0:SSi:2664.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),v)),v)**.
% 299.97/300.57 2652[0:SpR:757.0,1383.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),w),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),u),v)*.
% 299.97/300.57 2659[0:SpR:757.0,280.0] || -> equal(hAPP(c_Set_Oinsert(u,v),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))**.
% 299.97/300.57 757[0:Rew:699.0,566.0,662.0,566.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),w),hAPP(c_Set_Oinsert(v,u),w))**.
% 299.97/300.57 1014[0:SpR:712.1,35.0] class_Orderings_Oorder(u) || -> equal(c_Fun_Ofun__upd(c_fequal(u),v,c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,x),c_fequal(u))**.
% 299.97/300.57 2578[0:SpR:1597.1,1581.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w),hAPP(hAPP(c_fequal(u),v),w))*.
% 299.97/300.57 1597[0:SpR:712.1,1581.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w),hAPP(hAPP(c_fequal(u),w),v))*.
% 299.97/300.57 1441[0:Res:1367.0,599.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x),w)*.
% 299.97/300.57 341[0:Inp] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v))*.
% 299.97/300.57 1403[0:SpR:657.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(c_COMBK(u,v,w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.57 1138[0:SpL:712.1,758.0] class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),hAPP(c_fequal(u),w))* -> equal(v,w).
% 299.97/300.57 1000[0:SpR:714.1,35.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_fequal(u),v),v,w,x),c_Complete__Lattice_OSup__class_OSup(u))**.
% 299.97/300.57 998[0:SpR:710.1,35.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_fequal(u),v),v,w,x),c_Complete__Lattice_OInf__class_OInf(u))**.
% 299.97/300.57 610[0:Inp] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),w),x))* -> hBOOL(hAPP(w,x)) equal(u,x).
% 299.97/300.57 2367[0:Obv:2312.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),v)**.
% 299.97/300.57 2281[0:Obv:2230.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),v)**.
% 299.97/300.57 168[0:Inp] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v))*.
% 299.97/300.57 2164[0:SSi:2155.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),x))* -> hBOOL(hAPP(w,x)).
% 299.97/300.57 343[0:Inp] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v))*.
% 299.97/300.57 1927[0:SpR:1916.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w))*.
% 299.97/300.57 2163[0:SSi:2126.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),u),v)*.
% 299.97/300.57 2191[0:MRR:2190.1,672.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))))* -> .
% 299.97/300.57 2160[0:SSi:2125.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v),v)**.
% 299.97/300.57 167[0:Inp] class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v))*.
% 299.97/300.57 1814[0:SSi:1789.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),x))* -> hBOOL(hAPP(v,x)).
% 299.97/300.57 1562[0:SpR:714.1,1430.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),x))*.
% 299.97/300.57 1928[0:SpR:1916.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),u))*.
% 299.97/300.57 1926[0:SpR:1916.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),u,u,v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u))**.
% 299.97/300.57 342[0:Inp] class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v))*.
% 299.97/300.57 1923[0:SSi:1913.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v)**.
% 299.97/300.57 1919[0:Obv:1915.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),v),v)**.
% 299.97/300.57 1918[0:Obv:1894.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),v),v)**.
% 299.97/300.57 1916[0:SSi:1910.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),u),u)**.
% 299.97/300.57 3[0:Inp] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),v)**.
% 299.97/300.57 1813[0:SSi:1809.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),u),w),v)*.
% 299.97/300.57 1811[0:Obv:1793.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),v))*.
% 299.97/300.57 11[0:Inp] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),v)**.
% 299.97/300.57 1561[0:SpR:710.1,1430.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),x))*.
% 299.97/300.57 1546[0:SpR:677.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),u))*.
% 299.97/300.57 1418[0:SpR:988.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w))*.
% 299.97/300.57 428[0:Inp] || hBOOL(hAPP(u,v)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),u),v))*.
% 299.97/300.57 429[0:Inp] || hBOOL(hAPP(u,v)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u),x),v))*.
% 299.97/300.57 1424[0:SpR:1118.0,248.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w))*.
% 299.97/300.57 1401[0:SpR:956.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w))*.
% 299.97/300.57 236[0:Inp] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)))*.
% 299.97/300.57 1119[0:SSi:1116.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),c_COMBK(c_False,tc_bool,u)),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.57 237[0:Inp] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v)))*.
% 299.97/300.57 1091[0:SSi:1085.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.57 280[0:Inp] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))**.
% 299.97/300.57 279[0:Inp] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))**.
% 299.97/300.57 601[0:Inp] || equal(c_Hoare__Mirabelle_Otriple_Otriple(u,v,w,x),c_Hoare__Mirabelle_Otriple_Otriple(y,z,x1,x))* -> equal(w,x1).
% 299.97/300.57 602[0:Inp] || equal(c_Hoare__Mirabelle_Otriple_Otriple(u,v,w,x),c_Hoare__Mirabelle_Otriple_Otriple(y,z,x1,x))* -> equal(v,z).
% 299.97/300.57 603[0:Inp] || equal(c_Hoare__Mirabelle_Otriple_Otriple(u,v,w,x),c_Hoare__Mirabelle_Otriple_Otriple(y,z,x1,x))* -> equal(u,y).
% 299.97/300.57 1027[0:SpL:712.1,713.0] class_Orderings_Oorder(u) || hBOOL(c_in(v,c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),u))* -> equal(v,w).
% 299.97/300.57 1539[0:SpR:657.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_COMBK(u,v,w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),u))*.
% 299.97/300.57 1010[0:SpR:712.1,714.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),v)**.
% 299.97/300.57 65[0:Inp] || -> equal(u,v) equal(hAPP(c_Fun_Ofun__upd(w,v,x,y,z),u),hAPP(w,u))**.
% 299.97/300.57 1009[0:SpR:712.1,710.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),v)**.
% 299.97/300.57 1600[0:SpL:1581.0,914.0] || hBOOL(hAPP(hAPP(c_fequal(u),c_False),v))* -> equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_fequal(u),v)),v).
% 299.97/300.57 1554[0:SpR:988.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),u))*.
% 299.97/300.57 1429[0:Res:248.0,1152.0] || equal(hAPP(c_Set_Oimage(u,v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_COMBK(c_False,tc_bool,w))** -> .
% 299.97/300.57 196[0:Inp] || c_Fun_Oinj__on(u,hAPP(c_Set_Oinsert(v,w),x),w,y)* -> c_Fun_Oinj__on(u,x,w,y).
% 299.97/300.57 1560[0:SpR:1118.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_False))*.
% 299.97/300.57 1537[0:SpR:956.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),w))*.
% 299.97/300.57 1506[0:Res:404.1,252.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(x,w),v),u))*.
% 299.97/300.57 1581[0:SpR:728.0,251.0] || -> equal(hAPP(hAPP(c_fequal(u),v),w),hAPP(hAPP(c_fequal(u),w),v))*.
% 299.97/300.57 251[0:Inp] || -> equal(hAPP(hAPP(c_COMBC(u,v,w,x),y),z),hAPP(hAPP(u,z),y))**.
% 299.97/300.57 1436[0:Res:1374.0,597.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(v)),x)),x,v)*.
% 299.97/300.57 1430[0:Res:248.0,252.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(u,v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),hAPP(u,x)))*.
% 299.97/300.57 1461[0:SpR:699.0,611.0] || -> equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),u)),hAPP(c_fequal(v),u))**.
% 299.97/300.57 404[0:Inp] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oinsert(x,w),v),w))*.
% 299.97/300.57 1431[0:Res:1373.0,599.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),v)*+ -> c_Hoare__Mirabelle_Ohoare__derivs(u,w,v)*.
% 299.97/300.57 1385[0:SSi:1379.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),u),v)*.
% 299.97/300.57 1384[0:SSi:1377.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),w,u)*.
% 299.97/300.57 1383[0:SSi:1375.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),v,u)*.
% 299.97/300.57 611[0:Inp] || -> equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(u,v),w)),hAPP(c_Set_Oinsert(u,v),w))**.
% 299.97/300.57 1382[0:SSi:1364.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),u),w),v)*.
% 299.97/300.57 1367[0:Res:320.0,530.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),v)*.
% 299.97/300.57 1374[0:Res:409.0,530.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),w),w,v)*.
% 299.97/300.57 1373[0:Res:464.0,530.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v,u)*.
% 299.97/300.57 248[0:Inp] || -> hBOOL(c_in(hAPP(u,v),hAPP(c_Set_Oimage(u,w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.57 1354[0:Res:491.0,530.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,u,v)*.
% 299.97/300.57 530[0:Inp] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,u).
% 299.97/300.57 228[0:Inp] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)))*.
% 299.97/300.57 229[0:Inp] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)))*.
% 299.97/300.57 232[0:Inp] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)))*.
% 299.97/300.57 1313[0:SpR:277.1,233.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.57 1310[0:SpR:366.1,233.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v))*.
% 299.97/300.57 1319[0:Obv:1309.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),v))*.
% 299.97/300.57 1318[0:SSi:1315.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),u))*.
% 299.97/300.57 233[0:Inp] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)))*.
% 299.97/300.57 36[0:Inp] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),v))*.
% 299.97/300.57 1294[0:SpR:186.1,37.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v))*.
% 299.97/300.57 1293[0:SpR:19.1,37.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.57 37[0:Inp] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),w))*.
% 299.97/300.57 41[0:Inp] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),w))*.
% 299.97/300.57 1276[0:SpR:187.1,42.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v))*.
% 299.97/300.57 1273[0:SpR:18.1,42.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.57 1279[0:Obv:1272.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),v))*.
% 299.97/300.57 42[0:Inp] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),v))*.
% 299.97/300.57 709[0:Rew:662.0,347.0,662.0,347.0] || -> equal(c_Product__Type_OSigma(c_COMBK(c_False,tc_bool,u),v,u,w),c_COMBK(c_False,tc_bool,tc_prod(u,w)))**.
% 299.97/300.57 1268[0:SpR:712.1,1265.0] class_Orderings_Oorder(u) || -> equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,u)),c_False)**.
% 299.97/300.57 1265[0:Res:659.0,914.0] || -> equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_fequal(u),c_False)),c_False)**.
% 299.97/300.57 914[0:Res:533.1,660.0] || hBOOL(hAPP(hAPP(c_fequal(u),v),c_False))* -> equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_fequal(u),v)),v).
% 299.97/300.57 320[0:Inp] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)),v))*.
% 299.97/300.57 706[0:Rew:662.0,468.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_COMBK(c_False,tc_bool,u),v,u,tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))**.
% 299.97/300.57 707[0:Rew:662.0,462.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.57 708[0:Rew:662.0,385.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool)),v),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.57 899[0:SpR:657.0,35.0] || -> equal(c_Fun_Ofun__upd(c_COMBK(u,v,w),x,u,y,z),c_COMBK(u,v,w))**.
% 299.97/300.57 149[0:Inp] || -> equal(hAPP(c_COMBB(u,v,w,x,y),z),hAPP(u,hAPP(v,z)))**.
% 299.97/300.57 424[0:Inp] || -> equal(hAPP(c_Fun_Ocomp(u,v,w,x,y),z),hAPP(u,hAPP(v,z)))**.
% 299.97/300.57 179[0:Inp] || equal(c_Fun_Ofun__upd(u,v,w,x,y),u)** -> equal(hAPP(u,v),w).
% 299.97/300.57 599[0:Inp] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w)*+ c_Hoare__Mirabelle_Ohoare__derivs(x,u,w)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,v,w)*.
% 299.97/300.57 696[0:Rew:662.0,190.0] || c_Finite__Set_Ofold__graph(u,v,c_COMBK(c_False,tc_bool,w),x,w,y)* -> equal(x,v).
% 299.97/300.57 597[0:Inp] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oinsert(v,tc_Hoare__Mirabelle_Otriple(w)),x),w)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,x,w).
% 299.97/300.57 1015[0:SpL:712.1,660.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w))* -> equal(v,w).
% 299.97/300.57 1007[0:SpR:712.1,703.1] class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || -> equal(c_Finite__Set_Olinorder__class_OMin(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),u),v)**.
% 299.97/300.57 1006[0:SpR:712.1,702.1] class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || -> equal(c_Finite__Set_Olinorder__class_OMax(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),u),v)**.
% 299.97/300.57 718[0:Rew:699.0,557.0,662.0,557.0] || hBOOL(hAPP(c_Finite__Set_Ofold1Set(u,hAPP(c_fequal(v),w),v),x))* -> equal(w,x).
% 299.97/300.57 23[0:Inp] || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),u)* -> c_Finite__Set_Ofinite(w,u).
% 299.97/300.57 1190[0:SSi:1184.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u)*+ -> c_Finite__Set_Ofinite(v,u)*.
% 299.97/300.57 24[0:Inp] || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),u)* -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.57 992[0:SpR:988.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),c_False,u,v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))**.
% 299.97/300.57 1123[0:SpR:1118.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),c_False,c_False,v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u))**.
% 299.97/300.57 691[0:Rew:662.0,396.0,662.0,396.0] || -> equal(hAPP(c_Set_Oimage(u,v,w),c_COMBK(c_False,tc_bool,v)),c_COMBK(c_False,tc_bool,w))**.
% 299.97/300.57 963[0:SpR:956.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u,u,v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False))**.
% 299.97/300.57 1094[0:SpR:1088.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,c_False,v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False))**.
% 299.97/300.57 295[0:Inp] || equal(c_Com_Ocom_OCond(u,v,w),c_Com_Ocom_OCond(x,y,z))* -> equal(w,z).
% 299.97/300.57 296[0:Inp] || equal(c_Com_Ocom_OCond(u,v,w),c_Com_Ocom_OCond(x,y,z))* -> equal(v,y).
% 299.97/300.57 297[0:Inp] || equal(c_Com_Ocom_OCond(u,v,w),c_Com_Ocom_OCond(x,y,z))* -> equal(u,x).
% 299.97/300.57 1013[0:SpR:712.1,701.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(c_Finite__Set_Ofold1Set(v,c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),u),w))*.
% 299.97/300.57 1152[0:SpL:418.1,667.0] || hBOOL(c_in(u,v,w))* equal(v,c_COMBK(c_False,tc_bool,w)) -> .
% 299.97/300.57 418[0:Inp] || hBOOL(c_in(u,v,w)) -> equal(hAPP(c_Set_Oinsert(u,w),v),v)**.
% 299.97/300.57 618[0:Inp] || hBOOL(hAPP(u,v)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(w,x),u),v))*.
% 299.97/300.57 758[0:Rew:699.0,616.0,699.0,616.0,662.0,616.0] || equal(hAPP(c_fequal(u),v),hAPP(c_fequal(u),w))* -> equal(v,w).
% 299.97/300.57 138[0:Inp] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),v)*.
% 299.97/300.57 728[0:Rew:272.0,397.0,699.0,397.0,662.0,397.0] || -> equal(hAPP(c_COMBC(c_fequal(u),u,u,tc_bool),v),hAPP(c_fequal(u),v))**.
% 299.97/300.57 1079[0:SpL:712.1,1059.0] class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_COMBK(c_False,tc_bool,u))* -> .
% 299.97/300.57 1118[0:SSi:1117.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),c_False),c_False)**.
% 299.97/300.57 409[0:Inp] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),v)))*.
% 299.97/300.57 187[0:Inp] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.57 277[0:Inp] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.57 1074[0:SpR:712.1,1055.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(v,c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),u))*.
% 299.97/300.57 1088[0:SSi:1086.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u),c_False)**.
% 299.97/300.57 186[0:Inp] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),v),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.57 1059[0:SpL:699.0,667.0] || equal(hAPP(c_fequal(u),v),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.57 1073[0:SpR:712.1,1061.0] class_Orderings_Oorder(u) || -> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),u)*.
% 299.97/300.57 1055[0:SpR:699.0,416.0] || -> hBOOL(c_in(u,hAPP(c_fequal(v),u),v))*.
% 299.97/300.57 1061[0:MRR:1056.0,669.0] || -> c_Finite__Set_Ofinite(hAPP(c_fequal(u),v),u)*.
% 299.97/300.57 278[0:Inp] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),v),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.57 699[0:Rew:662.0,542.0,272.0,542.0] || -> equal(hAPP(c_Set_Oinsert(u,v),c_COMBK(c_False,tc_bool,v)),hAPP(c_fequal(v),u))**.
% 299.97/300.57 685[0:Rew:662.0,386.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_COMBK(c_False,tc_bool,u)),v)**.
% 299.97/300.57 684[0:Rew:662.0,387.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v),v)**.
% 299.97/300.57 357[0:Inp] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.57 441[0:Inp] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.57 683[0:Rew:662.0,471.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),c_COMBK(c_False,tc_bool,u)),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.57 682[0:Rew:662.0,541.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),c_COMBK(c_False,tc_bool,u)),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.57 687[0:Rew:662.0,188.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),c_COMBK(c_False,tc_bool,u)))* -> .
% 299.97/300.57 1012[0:SpR:712.1,700.0] class_Orderings_Oorder(u) || -> equal(c_Finite__Set_Ofold1(v,c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),u),w)**.
% 299.97/300.57 30[0:Inp] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(w,v,x),u),x)*.
% 299.97/300.57 713[0:Rew:699.0,560.0,662.0,560.0] || hBOOL(c_in(u,hAPP(c_fequal(v),w),v))* -> equal(u,w).
% 299.97/300.57 1008[0:SpR:712.1,945.0] class_Orderings_Oorder(u) || -> equal(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),u),v)**.
% 299.97/300.57 1005[0:SpR:712.1,704.0] class_Orderings_Oorder(u) || -> equal(c_Set_Ocontents(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),u),v)**.
% 299.97/300.57 1004[0:SpR:712.1,509.0] class_Orderings_Oorder(u) || -> equal(c_The(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),u),v)**.
% 299.97/300.57 716[0:Rew:699.0,594.0,662.0,594.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),c_Hoare__Mirabelle_Otriple_Otriple(w,c_Com_Ocom_OSKIP,w,v)),v)*.
% 299.97/300.57 1003[0:SpR:712.1,659.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),v))*.
% 299.97/300.57 712[0:Rew:699.0,564.1,662.0,564.1] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),hAPP(c_fequal(u),v))*.
% 299.97/300.57 714[0:Rew:699.0,547.1,662.0,547.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_fequal(u),v)),v)**.
% 299.97/300.57 710[0:Rew:699.0,567.1,662.0,567.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_fequal(u),v)),v)**.
% 299.97/300.57 19[0:Inp] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Orderings_Otop__class_Otop(u)),v)**.
% 299.97/300.57 988[0:SSi:987.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),c_False),u)**.
% 299.97/300.57 367[0:Inp] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Orderings_Obot__class_Obot(u)),v)**.
% 299.97/300.57 971[0:SSi:969.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u))))* -> .
% 299.97/300.57 979[0:MRR:978.2,672.0] class_Lattices_Obounded__lattice(u) || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))))* -> .
% 299.97/300.57 18[0:Inp] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v),v)**.
% 299.97/300.57 959[0:MRR:958.2,672.0] class_Lattices_Obounded__lattice(u) || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))))* -> .
% 299.97/300.57 945[0:Res:746.0,660.0] || -> equal(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(c_fequal(u),v),u),v)**.
% 299.97/300.57 967[0:MRR:966.1,672.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False)))* -> .
% 299.97/300.57 956[0:SSi:954.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u),u)**.
% 299.97/300.57 366[0:Inp] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v),v)**.
% 299.97/300.57 694[0:Rew:272.0,382.0,662.0,382.0] || hBOOL(hAPP(u,v))* equal(u,c_COMBK(c_False,tc_bool,w))*+ -> .
% 299.97/300.57 678[0:Rew:662.0,388.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),u),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.57 677[0:Rew:662.0,389.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v)),u)**.
% 299.97/300.57 464[0:Inp] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))*.
% 299.97/300.57 676[0:Rew:662.0,390.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v))*.
% 299.97/300.57 935[0:SSi:933.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_False),u))*.
% 299.97/300.57 932[0:SSi:931.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_Orderings_Obot__class_Obot(tc_bool),c_False)**.
% 299.97/300.57 927[0:SSi:924.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(c_Orderings_Otop__class_Otop(tc_bool))*.
% 299.97/300.57 540[0:Inp] class_Orderings_Obot(u) || -> equal(hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),v_x),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.57 443[0:Inp] class_Orderings_Otop(u) || -> equal(hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v_x),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.57 142[0:Inp] || c_Finite__Set_Ofold__graph(u,v,w,x,y,z)* -> c_Finite__Set_Ofinite(w,y).
% 299.97/300.57 263[0:Inp] || -> equal(c_The(c_Finite__Set_Ofold1Set(u,v,w),w),c_Finite__Set_Ofold1(u,v,w))**.
% 299.97/300.57 273[0:Inp] || equal(c_Com_Ocom_OSemi(u,v),c_Com_Ocom_OSemi(w,x))* -> equal(v,x).
% 299.97/300.57 274[0:Inp] || equal(c_Com_Ocom_OSemi(u,v),c_Com_Ocom_OSemi(w,x))* -> equal(u,w).
% 299.97/300.57 345[0:Inp] || equal(c_Com_Ocom_OWhile(u,v),c_Com_Ocom_OWhile(w,x))* -> equal(u,w).
% 299.97/300.57 346[0:Inp] || equal(c_Com_Ocom_OWhile(u,v),c_Com_Ocom_OWhile(w,x))* -> equal(v,x).
% 299.97/300.57 195[0:Inp] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),w),v)* -> c_Finite__Set_Ofinite(w,v).
% 299.97/300.57 194[0:Inp] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(w,v),u),v)*.
% 299.97/300.57 521[0:Inp] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_COMBK(v,u,u),u),v)**.
% 299.97/300.57 660[0:Inp] || hBOOL(hAPP(hAPP(c_fequal(u),v),w))* -> equal(v,w).
% 299.97/300.57 703[0:Rew:699.0,698.1] class_Orderings_Olinorder(u) || -> equal(c_Finite__Set_Olinorder__class_OMin(hAPP(c_fequal(u),v),u),v)**.
% 299.97/300.57 702[0:Rew:699.0,697.1] class_Orderings_Olinorder(u) || -> equal(c_Finite__Set_Olinorder__class_OMax(hAPP(c_fequal(u),v),u),v)**.
% 299.97/300.57 50[0:Inp] class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),v),v)**.
% 299.97/300.57 255[0:Inp] class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),v),v)**.
% 299.97/300.57 673[0:Rew:662.0,383.0] || hBOOL(hAPP(c_Finite__Set_Ofold1Set(u,c_COMBK(c_False,tc_bool,v),v),w))* -> .
% 299.97/300.57 667[0:Rew:662.0,612.0] || equal(hAPP(c_Set_Oinsert(u,v),w),c_COMBK(c_False,tc_bool,v))** -> .
% 299.97/300.57 14[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),v))* -> .
% 299.97/300.57 13[0:Inp] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),v))* -> .
% 299.97/300.57 12[0:Inp] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),v))* -> .
% 299.97/300.57 465[0:Inp] class_Orderings_Otop(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.57 368[0:Inp] class_Orderings_Obot(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v))*.
% 299.97/300.57 593[0:Inp] || -> c_Wellfounded_OwfP(c_COMBK(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool),u),u)*.
% 299.97/300.57 34[0:Inp] || -> equal(hAPP(c_Fun_Ofun__upd(u,v,w,x,y),v),w)**.
% 299.97/300.57 35[0:Inp] || -> equal(c_Fun_Ofun__upd(u,v,hAPP(u,v),w,x),u)**.
% 299.97/300.57 664[0:Rew:662.0,192.0] || -> c_Finite__Set_Ofold__graph(u,v,c_COMBK(c_False,tc_bool,w),v,w,x)*.
% 299.97/300.57 663[0:Rew:662.0,193.0] || -> c_Nitpick_Ofold__graph_H(u,v,c_COMBK(c_False,tc_bool,w),v,w,x)*.
% 299.97/300.57 252[0:Inp] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(v,u)).
% 299.97/300.57 253[0:Inp] || hBOOL(hAPP(u,v)) -> hBOOL(c_in(v,u,w))*.
% 299.97/300.57 701[0:Rew:699.0,688.0] || -> hBOOL(hAPP(c_Finite__Set_Ofold1Set(u,hAPP(c_fequal(v),w),v),w))*.
% 299.97/300.57 619[0:Inp] class_Finite__Set_Ofinite_Ofinite(u) class_Finite__Set_Ofinite_Ofinite(v) || -> class_Finite__Set_Ofinite_Ofinite(tc_prod(u,v))*.
% 299.97/300.57 625[0:Inp] class_Finite__Set_Ofinite_Ofinite(u) class_Finite__Set_Ofinite_Ofinite(v) || -> class_Finite__Set_Ofinite_Ofinite(tc_fun(u,v))*.
% 299.97/300.57 494[0:Inp] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),v))*.
% 299.97/300.57 495[0:Inp] class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),v))*.
% 299.97/300.57 256[0:Inp] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),v),v)**.
% 299.97/300.57 16[0:Inp] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),v))* -> .
% 299.97/300.57 531[0:Inp] || hBOOL(hAPP(u,c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(u)))* -> hBOOL(hAPP(u,c_False)).
% 299.97/300.57 533[0:Inp] || hBOOL(hAPP(u,c_False)) -> hBOOL(hAPP(u,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(u)))*.
% 299.97/300.57 529[0:Inp] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) -> c_Hoare__Mirabelle_Ohoare__valids(u,v,w)*.
% 299.97/300.57 354[0:Inp] || equal(c_Com_Ocom_OWhile(u,v),c_Com_Ocom_OCond(w,x,y))* -> .
% 299.97/300.57 293[0:Inp] || equal(c_Com_Ocom_OCond(u,v,w),c_Com_Ocom_OSemi(x,y))* -> .
% 299.97/300.57 416[0:Inp] || -> hBOOL(c_in(u,hAPP(c_Set_Oinsert(u,v),w),v))*.
% 299.97/300.57 700[0:Rew:699.0,681.0] || -> equal(c_Finite__Set_Ofold1(u,hAPP(c_fequal(v),w),v),w)**.
% 299.97/300.57 344[0:Inp] || equal(c_Com_Ocom_OBODY(u),c_Com_Ocom_OBODY(v))* -> equal(u,v).
% 299.97/300.57 666[0:Rew:662.0,379.0] || hBOOL(c_in(u,c_COMBK(c_False,tc_bool,v),v))* -> .
% 299.97/300.57 491[0:Inp] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),v))*.
% 299.97/300.57 662[0:Rew:272.0,592.0] || -> equal(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.57 690[0:Rew:657.0,455.0,662.0,455.0] || -> equal(c_in(v_x,c_COMBK(c_False,tc_bool,t_a),t_a),c_False)**.
% 299.97/300.57 657[0:Inp] || -> equal(hAPP(c_COMBK(u,v,w),x),u)**.
% 299.97/300.57 432[0:Inp] || equal(c_Com_Ocom_OBODY(u),c_Com_Ocom_OCond(v,w,x))* -> .
% 299.97/300.57 473[0:Inp] || equal(c_Com_Ocom_OWhile(u,v),c_Com_Ocom_OSemi(w,x))* -> .
% 299.97/300.57 598[0:Inp] || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),w),u))*.
% 299.97/300.57 665[0:Rew:662.0,191.0] || -> c_Fun_Oinj__on(u,c_COMBK(c_False,tc_bool,v),v,w)*.
% 299.97/300.57 704[0:Rew:699.0,674.0] || -> equal(c_Set_Ocontents(hAPP(c_fequal(u),v),u),v)**.
% 299.97/300.57 509[0:Inp] || -> equal(c_The(hAPP(c_fequal(u),v),u),v)**.
% 299.97/300.57 422[0:Inp] || -> hBOOL(c_in(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),v))*.
% 299.97/300.57 668[0:Rew:662.0,609.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(v)),v)*.
% 299.97/300.57 532[0:Inp] || -> equal(c_Product__Type_Obool_Obool__case(u,v,c_False,w),v)**.
% 299.97/300.57 534[0:Inp] || -> equal(c_Product__Type_Obool_Obool__rec(u,v,c_False,w),v)**.
% 299.97/300.57 258[0:Inp] || equal(c_Com_Ocom_OBODY(u),c_Com_Ocom_OSemi(v,w))* -> .
% 299.97/300.57 504[0:Inp] || equal(c_Com_Ocom_OWhile(u,v),c_Com_Ocom_OBODY(w))* -> .
% 299.97/300.57 351[0:Inp] || equal(c_Com_Ocom_OCond(u,v,w),c_Com_Ocom_OSKIP)** -> .
% 299.97/300.57 628[0:Inp] class_Orderings_Oorder(u) || -> class_Orderings_Oorder(tc_fun(v,u))*.
% 299.97/300.57 627[0:Inp] class_Lattices_Olattice(u) || -> class_Lattices_Olattice(tc_fun(v,u))*.
% 299.97/300.57 622[0:Inp] class_Lattices_Olattice(u) || -> class_Lattices_Olower__semilattice(tc_fun(v,u))*.
% 299.97/300.57 620[0:Inp] class_Complete__Lattice_Ocomplete__lattice(u) || -> class_Complete__Lattice_Ocomplete__lattice(tc_fun(v,u))*.
% 299.97/300.57 621[0:Inp] class_Lattices_Olattice(u) || -> class_Lattices_Oupper__semilattice(tc_fun(v,u))*.
% 299.97/300.57 624[0:Inp] class_Lattices_Obounded__lattice(u) || -> class_Lattices_Obounded__lattice(tc_fun(v,u))*.
% 299.97/300.57 626[0:Inp] class_Orderings_Opreorder(u) || -> class_Orderings_Opreorder(tc_fun(v,u))*.
% 299.97/300.57 623[0:Inp] class_Lattices_Odistrib__lattice(u) || -> class_Lattices_Odistrib__lattice(tc_fun(v,u))*.
% 299.97/300.57 632[0:Inp] class_HOL_Oord(u) || -> class_HOL_Oord(tc_fun(v,u))*.
% 299.97/300.57 630[0:Inp] class_Orderings_Obot(u) || -> class_Orderings_Obot(tc_fun(v,u))*.
% 299.97/300.57 629[0:Inp] class_Orderings_Otop(u) || -> class_Orderings_Otop(tc_fun(v,u))*.
% 299.97/300.57 631[0:Inp] class_HOL_Ominus(u) || -> class_HOL_Ominus(tc_fun(v,u))*.
% 299.97/300.57 659[0:Inp] || -> hBOOL(hAPP(hAPP(c_fequal(u),v),v))*.
% 299.97/300.57 178[0:Inp] class_Finite__Set_Ofinite_Ofinite(u) || -> c_Finite__Set_Ofinite(v,u)*.
% 299.97/300.57 439[0:Inp] || equal(c_Com_Ocom_OWhile(u,v),c_Com_Ocom_OSKIP)** -> .
% 299.97/300.57 517[0:Inp] || equal(c_Com_Ocom_OSemi(u,v),c_Com_Ocom_OSKIP)** -> .
% 299.97/300.57 669[0:Rew:662.0,189.0] || -> c_Finite__Set_Ofinite(c_COMBK(c_False,tc_bool,u),u)*.
% 299.97/300.57 272[0:Inp] || -> equal(c_Collect(u,v),u)**.
% 299.97/300.57 658[0:Inp] || -> equal(c_COMBI(u,v),u)**.
% 299.97/300.57 505[0:Inp] || equal(c_Com_Ocom_OBODY(u),c_Com_Ocom_OSKIP)** -> .
% 299.97/300.57 672[0:Rew:657.0,670.0] || hBOOL(c_False)* -> .
% 299.97/300.57 640[0:Inp] || -> class_Orderings_Oorder(tc_nat)*.
% 299.97/300.57 652[0:Inp] || -> class_Orderings_Oorder(tc_bool)*.
% 299.97/300.57 638[0:Inp] || -> class_Orderings_Olinorder(tc_nat)*.
% 299.97/300.57 639[0:Inp] || -> class_Lattices_Olattice(tc_nat)*.
% 299.97/300.57 651[0:Inp] || -> class_Lattices_Olattice(tc_bool)*.
% 299.97/300.57 635[0:Inp] || -> class_Lattices_Olower__semilattice(tc_nat)*.
% 299.97/300.57 644[0:Inp] || -> class_Complete__Lattice_Ocomplete__lattice(tc_bool)*.
% 299.97/300.57 646[0:Inp] || -> class_Lattices_Olower__semilattice(tc_bool)*.
% 299.97/300.57 634[0:Inp] || -> class_Lattices_Oupper__semilattice(tc_nat)*.
% 299.97/300.57 645[0:Inp] || -> class_Lattices_Oupper__semilattice(tc_bool)*.
% 299.97/300.57 648[0:Inp] || -> class_Lattices_Obounded__lattice(tc_bool)*.
% 299.97/300.57 637[0:Inp] || -> class_Orderings_Opreorder(tc_nat)*.
% 299.97/300.57 650[0:Inp] || -> class_Orderings_Opreorder(tc_bool)*.
% 299.97/300.57 636[0:Inp] || -> class_Lattices_Odistrib__lattice(tc_nat)*.
% 299.97/300.57 643[0:Inp] || -> class_HOL_Oord(tc_nat)*.
% 299.97/300.57 647[0:Inp] || -> class_Lattices_Odistrib__lattice(tc_bool)*.
% 299.97/300.57 649[0:Inp] || -> class_Finite__Set_Ofinite_Ofinite(tc_bool)*.
% 299.97/300.57 656[0:Inp] || -> class_HOL_Oord(tc_bool)*.
% 299.97/300.57 641[0:Inp] || -> class_Orderings_Obot(tc_nat)*.
% 299.97/300.57 654[0:Inp] || -> class_Orderings_Obot(tc_bool)*.
% 299.97/300.57 642[0:Inp] || -> class_HOL_Ominus(tc_nat)*.
% 299.97/300.57 653[0:Inp] || -> class_Orderings_Otop(tc_bool)*.
% 299.97/300.57 655[0:Inp] || -> class_HOL_Ominus(tc_bool)*.
% 299.97/300.57 633[0:Inp] || -> class_OrderedGroup_Ocomm__monoid__add(tc_nat)*.6042[0:SpR:3333.0,6010.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),hAPP(c_Set_Oinsert(x,w),hAPP(c_fequal(w),u))),w))*.
% 299.97/300.57 6116[0:SpR:613.0,6050.0] || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),hAPP(c_Set_Oinsert(x,v),y))),x))*.
% 299.97/300.57 8267[0:SpL:5266.1,8206.0] class_Orderings_Oorder(tc_Hoare__Mirabelle_Otriple(u)) || equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_Hoare__Mirabelle_Otriple(u)))* -> c_Hoare__Mirabelle_Ohoare__derivs(x,v,u)*.
% 299.97/300.57 8268[0:SpL:5136.1,8206.0] class_Orderings_Oorder(tc_Hoare__Mirabelle_Otriple(u)) || equal(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_Hoare__Mirabelle_Otriple(u)))* -> c_Hoare__Mirabelle_Ohoare__derivs(x,v,u)*.
% 299.97/300.57 8741[0:Res:5772.1,738.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_Orderings_Obot__class_Obot(u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.57 8753[0:Res:5848.1,738.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(c_Orderings_Otop__class_Otop(u),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.57 8831[0:SpR:8783.0,1403.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w))*.
% 299.97/300.57 8896[0:Res:5772.1,737.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_Orderings_Obot__class_Obot(u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.57 8908[0:Res:5848.1,737.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_Orderings_Otop__class_Otop(u),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.57 8996[0:SpR:8938.0,4013.0] || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool))),c_False))*.
% 299.97/300.57 9005[0:SpR:8938.0,1403.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w))*.
% 299.97/300.57 9515[0:SpR:9428.0,248.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w))*.
% 299.97/300.57 9627[0:SpR:9425.0,1091.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool))**.
% 299.97/300.57 9628[0:SpR:9425.0,1119.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool))**.
% 299.97/300.57 9638[0:SpR:9425.0,5137.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.57 9639[0:SpR:9425.0,5267.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.57 9644[0:SpR:9425.0,4013.0] || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool))),c_False))*.
% 299.97/300.57 9799[0:SpR:9728.0,248.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w))*.
% 299.97/300.57 9860[0:SpR:9725.0,1091.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool))**.
% 299.97/300.57 9861[0:SpR:9725.0,1119.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool))**.
% 299.97/300.57 9871[0:SpR:9725.0,5137.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.57 9872[0:SpR:9725.0,5267.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.57 9877[0:SpR:9725.0,4013.0] || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool))),c_False))*.
% 299.97/300.57 12381[0:SpR:12280.1,2281.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),v),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.57 12545[0:SSi:12504.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u),tc_bool),u)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u))**.
% 299.97/300.57 12647[0:SpR:12624.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,u,v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)))**.
% 299.97/300.57 12649[0:SpR:12624.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),w))*.
% 299.97/300.57 12702[0:Rew:773.1,12698.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v))*.
% 299.97/300.57 12822[0:Rew:772.1,12818.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v))*.
% 299.97/300.57 13006[0:SpR:12637.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))**.
% 299.97/300.57 13008[0:SpR:12637.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.57 13496[0:Res:404.1,12715.0] || hBOOL(c_in(c_False,u,tc_bool)) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),u)),c_False)**.
% 299.97/300.57 13519[0:Res:4255.2,12715.0] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_False)**.
% 299.97/300.57 13520[0:Res:4254.2,12715.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_False)**.
% 299.97/300.57 13521[0:Res:4253.2,12715.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_False)**.
% 299.97/300.57 13703[0:SpR:13374.1,4252.0] || -> equal(u,c_False) hBOOL(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v))*.
% 299.97/300.57 13704[0:SpR:13374.1,684.0] || -> equal(u,c_False) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v),v)**.
% 299.97/300.57 13707[0:SpR:13374.1,685.0] || -> equal(u,c_False) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v)**.
% 299.97/300.57 13720[0:SpR:13374.1,699.0] || -> equal(u,c_False) equal(hAPP(c_Set_Oinsert(v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),hAPP(c_fequal(tc_bool),v))**.
% 299.97/300.57 13729[0:SpR:13374.1,3176.0] || -> equal(u,c_False) equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_False,v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.57 13750[0:SpL:13374.1,687.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool)))* -> equal(v,c_False).
% 299.97/300.57 13764[0:SpL:13374.1,4380.1] || hBOOL(u) equal(c_COMBK(u,v,w),c_SetInterval_Oord__class_OatLeastAtMost(x,c_False,tc_bool))* -> equal(x,c_False).
% 299.97/300.57 14147[0:SpR:13526.1,35.0] || hBOOL(u) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_COMBK(u,v,w),c_False,x,y),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 14166[0:SSi:14165.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),c_COMBK(u,w,x))),c_False)**.
% 299.97/300.57 14456[0:SpR:12562.1,2367.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),v),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.57 14500[0:SSi:14494.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_HOL_Ominus__class_Ominus(hAPP(u,v_x),tc_bool),hAPP(v,v_x)))* -> hBOOL(c_in(v_x,u,t_a)).
% 299.97/300.57 14958[0:SpL:14601.0,4436.0] || equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(c_False,tc_bool),u,v,w,x),c_HOL_Ominus__class_Ominus(c_False,tc_bool))** -> equal(v,c_False).
% 299.97/300.57 15170[0:SpL:14845.0,4436.0] || equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(u,tc_bool),u,v,w,x),c_HOL_Ominus__class_Ominus(u,tc_bool))** -> equal(v,c_False).
% 299.97/300.57 15181[0:SpL:14944.0,4436.0] || equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(u,tc_bool),c_False,v,w,x),c_HOL_Ominus__class_Ominus(u,tc_bool))** -> equal(v,u).
% 299.97/300.57 15607[0:SpL:13374.1,13375.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool))* -> equal(v,c_False) equal(u,c_False).
% 299.97/300.57 15614[0:SpL:13374.1,13376.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,v,tc_bool))* -> equal(u,c_False) equal(v,c_False).
% 299.97/300.57 17418[0:SSi:17373.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u))*.
% 299.97/300.57 17419[0:SSi:17395.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),c_False)**.
% 299.97/300.57 17572[0:SSi:17549.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),c_False)**.
% 299.97/300.57 18903[0:SSi:18852.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.57 20081[0:SpL:34.0,20047.0] || hBOOL(u) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Fun_Ofun__upd(v,c_Orderings_Otop__class_Otop(tc_bool),u,w,x)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20226[0:Res:16121.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20231[0:Res:6050.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),w))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20263[0:MRR:20084.1,927.0] || hBOOL(c_in(u,c_Orderings_Otop__class_Otop(tc_bool),v)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oinsert(u,v)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20368[0:SpR:20174.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),u),v),c_Orderings_Otop__class_Otop(tc_bool),w,x),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.57 20398[0:SSi:20397.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),w))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20535[0:MRR:20534.1,669.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),u),v)*.
% 299.97/300.57 22711[0:Res:10477.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 23102[0:Obv:22979.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False)),y),y)**.
% 299.97/300.57 23104[0:Obv:23026.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,c_fequal(v),w,x)* -> equal(hAPP(hAPP(u,c_Set_Oinsert(y,v)),y),y)**.
% 299.97/300.57 23142[0:SpR:418.1,12711.0] || hBOOL(c_in(c_False,u,tc_bool)) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 24610[0:SpR:24543.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.57 25107[0:MRR:25026.1,935.0] class_Orderings_Olinorder(tc_bool) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,u,tc_bool),c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 27324[0:SSi:27279.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_fequal(tc_bool),u),c_False))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),c_False)**.
% 299.97/300.57 28276[0:SSi:28262.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),c_False)** -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w))*.
% 299.97/300.57 28277[0:SSi:28263.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),c_False)** -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),w))*.
% 299.97/300.57 29161[0:SpR:28270.1,676.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool)),w))*.
% 299.97/300.57 29181[0:SpR:28270.1,677.0] || equal(c_False,u) -> equal(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool)),v)**.
% 299.97/300.57 29199[0:SpR:28270.1,13374.1] || equal(c_False,u) -> equal(v,c_False) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool))*.
% 299.97/300.57 29272[0:SpL:28270.1,971.0] || equal(c_False,u) hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool))))* -> .
% 299.97/300.57 29282[0:SpL:28270.1,694.1] || equal(c_False,u) hBOOL(hAPP(v,w))* equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(x,u,tc_bool))* -> .
% 299.97/300.57 29709[0:SpR:28271.1,676.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool)),w))*.
% 299.97/300.57 29729[0:SpR:28271.1,677.0] || equal(c_False,u) -> equal(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool)),v)**.
% 299.97/300.57 29747[0:SpR:28271.1,13374.1] || equal(c_False,u) -> equal(v,c_False) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool))*.
% 299.97/300.57 29821[0:SpL:28271.1,971.0] || equal(c_False,u) hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool))))* -> .
% 299.97/300.57 29831[0:SpL:28271.1,694.1] || equal(c_False,u) hBOOL(hAPP(v,w))* equal(v,c_SetInterval_Oord__class_OatLeastLessThan(x,u,tc_bool))* -> .
% 299.97/300.57 35236[0:SpR:418.1,28358.1] || hBOOL(c_in(u,v,tc_bool))* equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),v),u).
% 299.97/300.57 35270[0:MRR:35250.1,28232.1] class_Orderings_Olinorder(tc_bool) || equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool)),u)**.
% 299.97/300.57 37377[0:SpR:657.0,26165.1] || hBOOL(c_in(v_x,c_COMBK(u,v,w),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),u))*.
% 299.97/300.57 42584[0:SpR:657.0,26440.1] || hBOOL(c_in(v_x,c_COMBK(u,v,w),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x))*.
% 299.97/300.57 44689[0:SSi:44684.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(u,v),c_False) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool)),v)**.
% 299.97/300.57 44690[0:SSi:44685.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(u,v),c_False) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool)),v),v)**.
% 299.97/300.57 44761[0:SpL:712.1,44668.0] class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,u),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_fequal(u),tc_bool),c_False).
% 299.97/300.57 44904[0:Obv:44815.1] class_Orderings_Oorder(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),tc_bool),c_False)**.
% 299.97/300.57 44905[0:Obv:44814.1] class_Orderings_Oorder(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),tc_bool),c_False)**.
% 299.97/300.57 49041[2:Res:1310.2,47875.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v),c_False)** -> .
% 299.97/300.57 49042[2:Res:1294.2,47875.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || equal(hAPP(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v),c_False)** -> .
% 299.97/300.57 49043[2:Res:1276.2,47875.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v),c_False)** -> .
% 299.97/300.57 49059[2:Res:1313.2,47875.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Otop__class_Otop(u)),c_False)** -> .
% 299.97/300.57 49060[2:Res:1293.2,47875.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || equal(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Otop__class_Otop(u)),c_False)** -> .
% 299.97/300.57 49061[2:Res:1273.2,47875.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Otop__class_Otop(u)),c_False)** -> .
% 299.97/300.57 49072[2:Res:1506.1,47875.1] || hBOOL(c_in(u,v,w)) equal(hAPP(hAPP(c_Set_Oinsert(x,w),v),u),c_False)** -> .
% 299.97/300.57 49075[2:Res:1430.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(u,v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),hAPP(u,x)),c_False)** -> .
% 299.97/300.57 49083[2:Res:14946.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),u),c_False)** -> .
% 299.97/300.57 49088[2:Res:10477.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)),c_False)** -> .
% 299.97/300.57 49124[2:Res:28211.1,47875.1] || equal(hAPP(hAPP(c_lessequals(tc_bool),u),v),c_False)** -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))*.
% 299.97/300.57 49134[2:Res:3996.1,47875.1] || hBOOL(u) equal(hAPP(hAPP(c_Set_Oinsert(v,w),c_COMBK(u,x,y)),c_False),c_False)** -> .
% 299.97/300.57 49148[2:Res:28272.1,47875.1] || equal(c_False,u) equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v),c_False)** -> equal(v,u).
% 299.97/300.57 49182[2:Res:3665.1,47875.1] class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_Set_Oinsert(v,u),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)),w),c_False)** -> .
% 299.97/300.57 49201[2:Res:14847.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_False),c_False)** -> .
% 299.97/300.57 49240[2:Res:3225.0,47875.1] || equal(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v),c_False)** -> .
% 299.97/300.57 49247[2:Res:16120.0,47875.1] || equal(c_in(u,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w),c_False)** -> .
% 299.97/300.57 50387[2:SpR:47834.1,4252.0] || hBOOL(u) -> hBOOL(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v))*.
% 299.97/300.57 50390[2:SpR:47834.1,684.0] || hBOOL(u) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v),v)**.
% 299.97/300.57 50395[2:SpR:47834.1,685.0] || hBOOL(u) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v)**.
% 299.97/300.57 50409[2:SpR:47834.1,699.0] || hBOOL(u) -> equal(hAPP(c_Set_Oinsert(v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),hAPP(c_fequal(tc_bool),v))**.
% 299.97/300.57 50418[2:SpR:47834.1,3176.0] || hBOOL(u) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_False,v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.57 50429[2:SpR:47834.1,28270.1] || hBOOL(u) equal(c_False,v) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*.
% 299.97/300.57 50430[2:SpR:47834.1,28271.1] || hBOOL(u) equal(c_False,v) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(w,v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*.
% 299.97/300.57 50465[2:SpL:47834.1,687.0] || hBOOL(u) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)))* -> .
% 299.97/300.57 50481[2:SpL:47834.1,13375.0] || hBOOL(u) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> equal(v,c_False).
% 299.97/300.57 50482[2:SpL:47834.1,13376.0] || hBOOL(u) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,v,tc_bool))* -> equal(v,c_False).
% 299.97/300.57 50486[2:SpL:47834.1,4380.1] || hBOOL(u) hBOOL(v) equal(c_COMBK(v,w,x),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.57 53140[2:SpL:712.1,53092.0] class_Orderings_Oorder(u) || hBOOL(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))* equal(hAPP(c_fequal(u),v),c_False) -> .
% 299.97/300.57 53805[2:Rew:1523.1,53318.2] class_Orderings_Oorder(u) || hBOOL(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))* equal(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_False) -> .
% 299.97/300.57 54994[2:SpL:47834.1,47835.1] || hBOOL(u) hBOOL(v) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.57 54995[2:SpL:13374.1,47835.1] || hBOOL(u) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool))* -> equal(v,c_False).
% 299.97/300.57 55005[2:SpL:47834.1,47836.1] || hBOOL(u) hBOOL(v) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,v,tc_bool))* -> .
% 299.97/300.57 55006[2:SpL:13374.1,47836.1] || hBOOL(u) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,u,tc_bool))* -> equal(v,c_False).
% 299.97/300.57 55642[2:SpL:5266.1,50913.0] class_Orderings_Oorder(u) || hBOOL(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u))* equal(c_COMBK(c_False,tc_bool,u),c_False) -> .
% 299.97/300.57 55643[2:SpL:5136.1,50913.0] class_Orderings_Oorder(u) || hBOOL(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u))* equal(c_COMBK(c_False,tc_bool,u),c_False) -> .
% 299.97/300.57 61393[0:SpL:49966.1,673.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(hAPP(c_Finite__Set_Ofold1Set(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_bool),w))* -> .
% 299.97/300.57 62304[0:Rew:62049.0,62054.1] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))* equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))*.
% 299.97/300.57 62182[0:Rew:62049.0,9928.0] || -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),tc_bool,tc_bool),c_False)**.
% 299.97/300.57 62183[0:Rew:62049.0,9927.0] || -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),tc_bool,tc_bool),c_False)**.
% 299.97/300.57 62185[0:Rew:62049.0,9694.0] || -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),tc_bool,tc_bool),c_False)**.
% 299.97/300.57 62186[0:Rew:62049.0,9693.0] || -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),tc_bool,tc_bool),c_False)**.
% 299.97/300.57 62188[0:Rew:62049.0,9037.0] || -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),tc_bool,tc_bool),c_False)**.
% 299.97/300.57 62189[0:Rew:62049.0,9036.0] || -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),tc_bool,tc_bool),c_False)**.
% 299.97/300.57 62191[0:Rew:62049.0,8863.0] || -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),tc_bool,tc_bool),c_False)**.
% 299.97/300.57 62192[0:Rew:62049.0,8862.0] || -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),tc_bool,tc_bool),c_False)**.
% 299.97/300.57 62219[0:Rew:62049.0,28066.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,v,tc_bool))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v))*.
% 299.97/300.57 62221[0:Rew:62049.0,28234.0] || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))*.
% 299.97/300.57 62230[0:Rew:62049.0,35982.2] || equal(c_False,u) -> equal(v,u) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))*.
% 299.97/300.57 63754[0:SSi:63678.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 63755[0:MRR:63702.1,927.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)),c_False))*.
% 299.97/300.57 63849[2:SSi:63838.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))),c_False)** -> .
% 299.97/300.57 63854[0:SpR:418.1,59016.0] || hBOOL(c_in(u,v,tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v)))*.
% 299.97/300.57 63914[0:SSi:63913.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 63916[0:SSi:63915.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 64017[0:SSi:64016.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.57 64941[2:SSi:64931.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))),u),c_False)** -> .
% 299.97/300.57 64946[0:SpR:418.1,59997.0] || hBOOL(c_in(u,v,tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),v)),u))*.
% 299.97/300.57 65016[0:SSi:65015.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 65018[0:SSi:65017.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 65138[0:SSi:65137.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.57 67934[0:SSi:67918.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),c_Orderings_Otop__class_Otop(tc_bool))** -> equal(c_Orderings_Otop__class_Otop(tc_bool),u).
% 299.97/300.57 73595[0:SSi:73571.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),v)**.
% 299.97/300.57 74828[0:SpR:657.0,73586.1] || hBOOL(c_in(v_x,c_COMBK(u,v,w),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)).
% 299.97/300.57 75506[0:SpR:34559.1,65071.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)),u)**.
% 299.97/300.57 75507[0:SpR:34559.1,65131.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),u)**.
% 299.97/300.57 75594[0:SSi:75571.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),v)**.
% 299.97/300.57 77226[0:SSi:77205.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),c_False))* -> equal(u,v).
% 299.97/300.57 78804[0:Res:14846.0,12715.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_False)**.
% 299.97/300.57 81524[0:SpR:657.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),c_COMBK(u,x,y)),z)))*.
% 299.97/300.57 81590[0:SpR:1916.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),u)))*.
% 299.97/300.57 81865[0:SSi:81857.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x)),u)))*.
% 299.97/300.57 81866[0:SSi:81858.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)),x)))*.
% 299.97/300.57 82028[0:SSi:82019.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(u,tc_bool)),c_False)),u)**.
% 299.97/300.57 83077[0:SpR:8828.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_False))*.
% 299.97/300.57 83078[0:SpR:9428.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_False))*.
% 299.97/300.57 83079[0:SpR:9002.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_False))*.
% 299.97/300.57 83080[0:SpR:9728.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_False))*.
% 299.97/300.57 83092[0:SpR:956.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u,v),hAPP(c_Set_Oinsert(w,u),x)),w))*.
% 299.97/300.57 83099[0:SpR:657.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_COMBK(u,v,w),x,y),hAPP(c_Set_Oinsert(z,x),x1)),u))*.
% 299.97/300.57 83107[0:SpR:19460.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),x)),c_False))*.
% 299.97/300.57 83126[0:SpR:988.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(c_False,v),x)),u))*.
% 299.97/300.57 83164[0:SpR:1118.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(c_False,v),x)),c_False))*.
% 299.97/300.57 83165[0:SpR:1916.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(u,v),x)),u))*.
% 299.97/300.57 83202[0:SpR:58351.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(u,v),x)),u))*.
% 299.97/300.57 85367[0:SpL:613.0,84527.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),w))))* -> hBOOL(v).
% 299.97/300.57 86266[2:Res:84385.1,53092.0] || hBOOL(u) equal(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)),c_False),c_False)** -> .
% 299.97/300.57 86634[0:SpR:86619.1,35.0] || hBOOL(u) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 86669[0:SSi:86668.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))),c_False)**.
% 299.97/300.57 86670[0:SpL:5266.1,86616.1] class_Orderings_Oorder(u) || hBOOL(v) equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u))* -> .
% 299.97/300.57 86671[0:SpL:5136.1,86616.1] class_Orderings_Oorder(u) || hBOOL(v) equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u))* -> .
% 299.97/300.57 86885[0:SpL:34.0,86811.0] || hBOOL(u) hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Fun_Ofun__upd(w,v,u,x,y)))*.
% 299.97/300.57 87264[0:Res:464.0,86811.0] || hBOOL(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),v)))*.
% 299.97/300.57 87404[0:Res:6050.0,86811.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,w),hAPP(c_Set_Oinsert(u,w),x))))*.
% 299.97/300.57 87564[0:Obv:86890.1] || hBOOL(c_in(u,v,w))* hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oinsert(u,w)))*.
% 299.97/300.57 87589[0:Obv:87009.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u))))*.
% 299.97/300.57 87590[0:Obv:87012.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))))*.
% 299.97/300.57 87705[0:Obv:87081.1] class_Orderings_Oorder(u) || hBOOL(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oinsert(v,u)))*.
% 299.97/300.57 87709[0:Obv:86984.0] || hBOOL(c_COMBK(c_False,tc_bool,u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v)))*.
% 299.97/300.57 87713[0:Obv:86966.0] || hBOOL(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v)))*.
% 299.97/300.57 87797[0:MRR:15025.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.57 87829[0:MRR:15046.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u)),v))*.
% 299.97/300.57 88670[2:SpL:712.1,87735.1] class_Orderings_Oorder(u) || hBOOL(v) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),c_False)** -> .
% 299.97/300.57 88747[0:SpR:14531.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_False,tc_bool),u,v),hAPP(c_Set_Oinsert(w,u),x)),v))*.
% 299.97/300.57 88748[0:SpR:14632.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),hAPP(c_Set_Oinsert(u,v),x)),w))*.
% 299.97/300.57 89063[0:SpR:14872.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),hAPP(c_Set_Oinsert(c_False,v),x)),w))*.
% 299.97/300.57 89254[2:Res:87256.2,53092.0] || hBOOL(hAPP(u,c_False)) hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(u)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u),c_False)** -> .
% 299.97/300.57 89657[2:Res:87236.2,53092.0] class_Orderings_Olinorder(u) || hBOOL(v) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)),c_False)** -> .
% 299.97/300.57 89746[2:Res:87237.2,53092.0] class_Lattices_Olattice(u) || hBOOL(v) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)),c_False)** -> .
% 299.97/300.57 89767[2:Res:87238.2,53092.0] class_Lattices_Oupper__semilattice(u) || hBOOL(v) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)),c_False)** -> .
% 299.97/300.57 89788[2:Res:87239.2,53092.0] class_Lattices_Olower__semilattice(u) || hBOOL(v) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)),c_False)** -> .
% 299.97/300.57 89866[2:Res:87240.2,53092.0] class_Orderings_Oorder(u) || hBOOL(v) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)),c_False)** -> .
% 299.97/300.57 89887[2:Res:87241.2,53092.0] class_Orderings_Opreorder(u) || hBOOL(v) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)),c_False)** -> .
% 299.97/300.57 89903[2:Res:87524.2,53092.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),c_False)** -> .
% 299.97/300.57 89919[2:Res:87525.2,53092.0] class_Lattices_Olattice(u) || hBOOL(v) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),c_False)** -> .
% 299.97/300.57 89978[0:SpL:5398.0,18905.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)))* -> .
% 299.97/300.57 90023[2:Res:87526.2,53092.0] class_Lattices_Oupper__semilattice(u) || hBOOL(v) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),c_False)** -> .
% 299.97/300.57 90034[2:Res:87527.2,53092.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),c_False)** -> .
% 299.97/300.57 90046[2:Res:87528.2,53092.0] class_Lattices_Olattice(u) || hBOOL(v) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),c_False)** -> .
% 299.97/300.57 90058[2:Res:87529.2,53092.0] class_Lattices_Olower__semilattice(u) || hBOOL(v) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),c_False)** -> .
% 299.97/300.57 90171[2:Res:87860.2,53092.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)),c_False)** -> .
% 299.97/300.57 90176[2:SpL:418.1,88486.1] || hBOOL(c_in(u,v,w))* hBOOL(u) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v),c_False) -> .
% 299.97/300.57 91083[2:Res:87257.1,53092.0] || hBOOL(u) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Finite__Set_Ofold1Set(v,hAPP(c_fequal(w),u),w)),c_False)** -> .
% 299.97/300.57 91183[0:SpR:8036.0,237.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w)),w))*.
% 299.97/300.57 91497[0:SpR:8037.0,237.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w)),v))*.
% 299.97/300.57 92411[0:SpR:657.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),c_COMBK(u,w,x)),v_x)),c_False)**.
% 299.97/300.57 93971[0:SSi:93955.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),c_False))* -> .
% 299.97/300.57 94071[0:SSi:94052.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),c_False))* -> .
% 299.97/300.57 94131[0:SpL:63959.0,84465.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v)))*.
% 299.97/300.57 94133[0:SpL:64010.0,84465.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_bool)))*.
% 299.97/300.57 94265[0:SSi:94235.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u),tc_fun(v,tc_bool)),v)*.
% 299.97/300.57 94440[0:SpR:65071.0,84655.1] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u))*.
% 299.97/300.57 94442[0:SpR:65131.0,84655.1] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u))*.
% 299.97/300.57 94584[2:Res:50386.1,16791.1] || hBOOL(u) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v)* -> equal(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)).
% 299.97/300.57 94585[0:Res:13702.1,16791.1] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v)* -> equal(u,c_False) equal(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)).
% 299.97/300.57 94613[0:Res:5143.1,16791.1] class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w)* -> equal(w,c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)).
% 299.97/300.57 94614[0:Res:5274.1,16791.1] class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w)* -> equal(w,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)).
% 299.97/300.57 94660[2:SpL:50421.1,94573.0] || hBOOL(u) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v)* -> equal(v,c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool))*.
% 299.97/300.57 94661[0:SpL:13732.1,94573.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v)* -> equal(u,c_False) equal(v,c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool))*.
% 299.97/300.57 94692[2:SpL:50422.1,94575.0] || hBOOL(u) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v)* -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool))*.
% 299.97/300.57 94693[0:SpL:13733.1,94575.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v)* -> equal(u,c_False) equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool))*.
% 299.97/300.57 95206[2:SpL:50423.1,94574.0] || hBOOL(u) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v)* -> equal(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool))*.
% 299.97/300.57 95207[0:SpL:13734.1,94574.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v)* -> equal(u,c_False) equal(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool))*.
% 299.97/300.57 95413[2:SpL:50424.1,94576.0] || hBOOL(u) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v)* -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool))*.
% 299.97/300.57 95414[0:SpL:13735.1,94576.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v)* -> equal(u,c_False) equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool))*.
% 299.97/300.57 96019[0:SpR:44578.0,21881.1] || hBOOL(c_in(u,hAPP(c_fequal(v),w),v))* -> hBOOL(hAPP(hAPP(c_fequal(x),w),u))*.
% 299.97/300.57 96203[0:SSi:96189.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),tc_fun(v,tc_bool)),w))* -> hBOOL(hAPP(c_False,w)).
% 299.97/300.57 96306[0:SpL:63959.0,93800.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u))))*.
% 299.97/300.57 96308[0:SpL:64010.0,93800.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))))*.
% 299.97/300.57 96437[0:SpL:63959.0,94130.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u))),v))*.
% 299.97/300.57 96439[0:SpL:64010.0,94130.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),v))*.
% 299.97/300.57 96506[0:SpR:65071.0,96435.1] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))*.
% 299.97/300.57 96508[0:SpR:65131.0,96435.1] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))*.
% 299.97/300.57 96910[0:SSi:96894.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),tc_fun(v,tc_bool)),w))* -> hBOOL(hAPP(u,w)).
% 299.97/300.57 96911[0:SSi:96848.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_COMBK(c_False,tc_bool,u)),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.57 97070[0:SSi:97055.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),tc_fun(v,tc_bool)),w))* -> hBOOL(hAPP(u,w)).
% 299.97/300.57 97071[0:SSi:97009.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_COMBK(c_False,tc_bool,u)),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.57 99883[0:SSi:99869.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),u)**.
% 299.97/300.57 99884[0:SSi:99870.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),u)**.
% 299.97/300.57 99885[0:SSi:99871.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),v)**.
% 299.97/300.57 99886[0:SSi:99872.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),v)**.
% 299.97/300.57 100524[0:SSi:100507.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),v)**.
% 299.97/300.57 100525[0:SSi:100508.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),v)**.
% 299.97/300.57 100526[0:SSi:100509.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),u)**.
% 299.97/300.57 100527[0:SSi:100510.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),u)**.
% 299.97/300.57 101565[0:SpL:418.1,101545.0] || hBOOL(c_in(u,v,w))* equal(v,hAPP(c_fequal(w),u)) -> c_Finite__Set_Ofinite(v,w).
% 299.97/300.57 101844[0:Res:701.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Finite__Set_Ofold1Set(u,hAPP(c_fequal(v),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v)))*.
% 299.97/300.57 101849[0:Res:1430.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_fequal(t_a),v_x),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))))*.
% 299.97/300.57 102136[0:SpR:418.1,101838.0] || hBOOL(c_in(hAPP(hAPP(c_fequal(t_a),v_x),v_x),u,v))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)).
% 299.97/300.57 102798[0:Res:64949.0,24826.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)),u,tc_bool),u))*.
% 299.97/300.57 102799[0:Res:65013.0,24826.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),u,tc_bool),u))*.
% 299.97/300.57 103028[0:Res:63857.0,25011.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)),tc_bool),u))*.
% 299.97/300.57 103029[0:Res:63911.0,25011.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),tc_bool),u))*.
% 299.97/300.57 103169[2:Res:102897.2,53092.0] class_Orderings_Olinorder(u) || hBOOL(v) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),c_False)** -> .
% 299.97/300.57 103205[2:Res:102750.2,53092.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u),v),c_False)** -> .
% 299.97/300.57 103256[2:Res:102754.2,53092.0] class_Orderings_Obot(u) class_Orderings_Olinorder(u) || equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u),v),c_False)** -> .
% 299.97/300.57 103375[2:Res:102935.2,53092.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u),v),c_False)** -> .
% 299.97/300.57 103393[2:Res:102939.2,53092.0] class_Orderings_Otop(u) class_Orderings_Olinorder(u) || equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u),v),c_False)** -> .
% 299.97/300.57 104614[0:Res:416.0,21899.0] || -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(u,v),w),c_Set_Oinsert(x,y),v,tc_fun(z,tc_bool)),x))*.
% 299.97/300.57 104660[0:Res:13613.0,21899.0] || -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),c_Set_Oinsert(u,v),w,tc_fun(x,tc_bool)),u))*.
% 299.97/300.57 105081[0:SpL:29743.1,105064.0] || equal(c_False,u) c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w,tc_bool,tc_bool)* -> c_Finite__Set_Ofinite(w,tc_bool).
% 299.97/300.57 105082[0:SpL:29195.1,105064.0] || equal(c_False,u) c_Fun_Oinj__on(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w,tc_bool,tc_bool)* -> c_Finite__Set_Ofinite(w,tc_bool).
% 299.97/300.57 106246[0:SpR:106169.0,676.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(u,tc_bool))),w))*.
% 299.97/300.57 106269[0:SpR:106169.0,677.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_fun(v,tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_fun(v,tc_bool))),u)**.
% 299.97/300.57 106317[0:SpL:106169.0,971.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(u,tc_bool)))))* -> .
% 299.97/300.57 106338[0:SpL:106169.0,6216.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.57 106342[0:SpL:106169.0,4386.1] class_Orderings_Obot(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.57 106348[0:SpL:106169.0,44153.1] || equal(c_False,u) equal(hAPP(c_lessequals(tc_bool),u),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.57 106366[0:SSi:106254.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(u,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))**.
% 299.97/300.57 106368[0:SSi:106367.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(u,tc_bool))),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.57 106702[0:SpR:5228.0,669.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool))*.
% 299.97/300.57 106826[0:SpL:5228.0,106554.0] || hBOOL(c_in(v_x,c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),t_a))* -> c_Hoare__Mirabelle_Ohoare__derivs(v,u,w).
% 299.97/300.57 106929[0:SpR:106423.0,676.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(u,tc_bool))),w))*.
% 299.97/300.57 106952[0:SpR:106423.0,677.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_fun(v,tc_bool),tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(v,tc_bool))),u)**.
% 299.97/300.57 106999[0:SpL:106423.0,971.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(u,tc_bool)))))* -> .
% 299.97/300.57 107020[0:SpL:106423.0,6216.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.57 107024[0:SpL:106423.0,4386.1] class_Orderings_Obot(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.57 107030[0:SpL:106423.0,44153.1] || equal(c_False,u) equal(hAPP(c_lessequals(tc_bool),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.57 107050[0:SSi:106937.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(u,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))**.
% 299.97/300.57 107052[0:SSi:107051.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(u,tc_bool))),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.57 111063[0:SpL:9735.0,84874.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)))* -> c_Finite__Set_Ofinite(u,tc_bool).
% 299.97/300.57 111064[0:SpL:9732.0,84874.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)))* -> c_Finite__Set_Ofinite(u,tc_bool).
% 299.97/300.57 111065[0:SpL:9030.0,84874.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)))* -> c_Finite__Set_Ofinite(u,tc_bool).
% 299.97/300.57 111066[0:SpL:8856.0,84874.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)))* -> c_Finite__Set_Ofinite(u,tc_bool).
% 299.97/300.57 111426[0:SSi:111391.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Obounded__lattice(u) || -> c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.57 111659[0:SSi:111619.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Obounded__lattice(u) || -> c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Otop__class_Otop(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.57 112843[0:SpR:9735.0,111162.1] class_Lattices_Oupper__semilattice(u) || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.57 112844[0:SpR:9732.0,111162.1] class_Lattices_Oupper__semilattice(u) || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.57 112845[0:SpR:9030.0,111162.1] class_Lattices_Oupper__semilattice(u) || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.57 112846[0:SpR:8856.0,111162.1] class_Lattices_Oupper__semilattice(u) || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.57 112889[0:SpR:9735.0,111163.1] class_Lattices_Olower__semilattice(u) || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.57 112890[0:SpR:9732.0,111163.1] class_Lattices_Olower__semilattice(u) || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.57 112891[0:SpR:9030.0,111163.1] class_Lattices_Olower__semilattice(u) || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.57 112892[0:SpR:8856.0,111163.1] class_Lattices_Olower__semilattice(u) || -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.57 5162[0:SpR:5136.1,691.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_Set_Oimage(v,u,w),c_SetInterval_Oord__class_OatLeastLessThan(x,x,u)),c_COMBK(c_False,tc_bool,w))**.
% 299.97/300.57 5170[0:SpR:5136.1,899.0] class_Orderings_Oorder(u) || -> equal(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,c_False,x,y),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u))**.
% 299.97/300.57 5186[0:SpL:5136.1,4145.1] class_Orderings_Oorder(u) || equal(v,c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))) equal(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,u))* -> .
% 299.97/300.57 5191[0:SpL:5136.1,4386.1] class_Orderings_Oorder(u) class_Orderings_Obot(v) || equal(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(v)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u))* -> .
% 299.97/300.57 5194[0:SpL:5136.1,696.0] class_Orderings_Oorder(u) || c_Finite__Set_Ofold__graph(v,w,c_SetInterval_Oord__class_OatLeastLessThan(x,x,u),y,u,z)* -> equal(y,w).
% 299.97/300.57 5203[0:SSi:5195.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w,x),c_Complete__Lattice_OSup__class_OSup(tc_bool))** -> equal(v,c_False).
% 299.97/300.57 5294[0:SpR:5266.1,691.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_Set_Oimage(v,u,w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u)),c_COMBK(c_False,tc_bool,w))**.
% 299.97/300.57 5303[0:SpR:5266.1,899.0] class_Orderings_Oorder(u) || -> equal(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,c_False,x,y),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u))**.
% 299.97/300.57 5318[0:SpL:5266.1,4145.1] class_Orderings_Oorder(u) || equal(v,c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))) equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u))* -> .
% 299.97/300.57 5323[0:SpL:5266.1,4386.1] class_Orderings_Oorder(u) class_Orderings_Obot(v) || equal(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(v)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u))* -> .
% 299.97/300.57 5326[0:SpL:5266.1,696.0] class_Orderings_Oorder(u) || c_Finite__Set_Ofold__graph(v,w,c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u),y,u,z)* -> equal(y,w).
% 299.97/300.57 5336[0:SSi:5327.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w,x),c_Complete__Lattice_OSup__class_OSup(tc_bool))** -> equal(v,c_False).
% 299.97/300.57 6118[0:SpR:613.0,6010.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),hAPP(c_Set_Oinsert(x,w),hAPP(c_Set_Oinsert(u,w),y))),w))*.
% 299.97/300.57 6220[0:SpL:5266.1,6216.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || equal(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(v)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u))* -> .
% 299.97/300.57 6221[0:SpL:5136.1,6216.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || equal(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(v)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u))* -> .
% 299.97/300.57 8160[0:SpL:757.0,5903.0] || equal(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),w),w) -> c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),u),v)*.
% 299.97/300.57 8459[0:Res:4138.1,7112.0] || equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))** -> hBOOL(hAPP(u,x))*.
% 299.97/300.57 8850[0:SpL:8783.0,4585.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w,x),c_Complete__Lattice_OSup__class_OSup(tc_bool))** -> equal(v,c_False).
% 299.97/300.57 9024[0:SpL:8938.0,4585.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w,x),c_Complete__Lattice_OSup__class_OSup(tc_bool))** -> equal(v,c_False).
% 299.97/300.57 10614[0:Res:5143.1,528.0] class_Orderings_Oorder(tc_Hoare__Mirabelle_Otriple(u)) || c_Hoare__Mirabelle_Ohoare__derivs(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_Hoare__Mirabelle_Otriple(u)),w,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,w,u)*.
% 299.97/300.57 10615[0:Res:5274.1,528.0] class_Orderings_Oorder(tc_Hoare__Mirabelle_Otriple(u)) || c_Hoare__Mirabelle_Ohoare__derivs(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_Hoare__Mirabelle_Otriple(u)),w,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,w,u)*.
% 299.97/300.57 10950[0:Res:4245.0,768.0] || -> equal(hAPP(c_Set_Oimage(c_COMBK(u,v,w),w,v),hAPP(c_lessequals(tc_bool),c_False)),hAPP(c_fequal(v),u))**.
% 299.97/300.57 10957[0:Res:4246.0,768.0] || -> equal(hAPP(c_Set_Oimage(c_COMBK(u,v,w),w,v),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),hAPP(c_fequal(v),u))**.
% 299.97/300.57 11173[0:Res:5772.1,755.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.57 11185[0:Res:5848.1,755.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.57 11579[0:SSi:11570.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))** -> .
% 299.97/300.57 11699[0:SSi:11690.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))** -> .
% 299.97/300.57 11942[0:SSi:11933.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))** -> .
% 299.97/300.57 11975[0:SSi:11966.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))** -> .
% 299.97/300.57 12275[0:SSi:12213.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w)),v,u)*.
% 299.97/300.57 12556[0:SSi:12505.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),hAPP(c_Set_Oinsert(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w)),v)*.
% 299.97/300.57 12648[0:SpR:12624.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w))*.
% 299.97/300.57 12764[0:SpR:12625.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,c_Orderings_Otop__class_Otop(tc_bool),v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)))**.
% 299.97/300.57 13007[0:SpR:12637.0,248.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w))*.
% 299.97/300.57 13106[0:SpR:12701.1,35.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),v,v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))**.
% 299.97/300.57 13187[0:SpR:12821.1,35.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),v,v,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))**.
% 299.97/300.57 13498[0:Res:1401.0,12715.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))),c_False)**.
% 299.97/300.57 13501[0:Res:1424.0,12715.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_False)**.
% 299.97/300.57 13505[0:Res:1403.0,12715.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_COMBK(c_False,u,v),w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))),c_False)**.
% 299.97/300.57 13514[0:Res:5144.1,12715.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u))),c_False)**.
% 299.97/300.57 13515[0:Res:5275.1,12715.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u))),c_False)**.
% 299.97/300.57 13721[0:SpR:13374.1,691.0] || -> equal(u,c_False) equal(hAPP(c_Set_Oimage(v,tc_bool,w),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),c_COMBK(c_False,tc_bool,w))**.
% 299.97/300.57 13739[0:SpR:13374.1,899.0] || -> equal(u,c_False) equal(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,c_False,w,x),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))**.
% 299.97/300.57 13757[0:SpL:13374.1,4145.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) equal(u,c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool))* -> equal(v,c_False).
% 299.97/300.57 13760[0:SpL:13374.1,696.0] || c_Finite__Set_Ofold__graph(u,v,c_SetInterval_Oord__class_OatLeastAtMost(w,c_False,tc_bool),x,tc_bool,y)* -> equal(w,c_False) equal(x,v).
% 299.97/300.57 13769[0:SSi:13714.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(u,c_False) equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 14501[0:SSi:14493.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_HOL_Ominus__class_Ominus(hAPP(u,v_x),tc_bool),hAPP(v,v_x)))* hBOOL(c_in(v_x,v,t_a)) -> .
% 299.97/300.57 14599[0:SpR:14531.0,4377.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_False,tc_bool),w,x),v),c_False))*.
% 299.97/300.57 14844[0:SpR:14632.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),w,x),v),c_False))*.
% 299.97/300.57 14943[0:SpR:14872.0,4377.1] || hBOOL(c_in(c_False,u,v)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(w,tc_bool),v,x),u),w))*.
% 299.97/300.57 14950[0:SpL:14872.0,4686.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),c_HOL_Ominus__class_Ominus(u,tc_bool)),c_False))*.
% 299.97/300.57 15188[0:SpR:12721.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),c_False)),c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 15211[0:SpR:12758.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 15224[0:SSi:15223.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)))),c_False)**.
% 299.97/300.57 15345[0:SpR:13539.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_bool),c_False)),c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 15357[0:SSi:15356.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_lessequals(tc_bool),c_False)))),c_False)**.
% 299.97/300.57 15459[0:SpR:12263.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(c_False,tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.57 15560[0:SpL:12738.0,4436.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),c_False),u,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))** -> equal(u,c_False).
% 299.97/300.57 15569[0:SpL:12750.0,4436.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))** -> equal(u,c_False).
% 299.97/300.57 15624[0:SpR:13516.1,35.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 15720[0:SpL:13532.0,4436.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_bool),c_False),u,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))** -> equal(u,c_False).
% 299.97/300.57 15727[0:SpR:13552.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_False,w,x),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 15741[0:SSi:15740.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))))),c_False)**.
% 299.97/300.57 16102[0:SpL:15494.0,4436.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),c_False),u,v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))** -> equal(u,c_False).
% 299.97/300.57 16111[0:SpL:15540.0,4436.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u,v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))** -> equal(u,c_False).
% 299.97/300.57 16119[0:SpR:15551.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),u,v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.57 17310[0:SpR:13518.1,35.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 17322[0:SSi:17321.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)))),c_False)**.
% 299.97/300.57 17329[0:SpR:13522.1,35.0] class_Orderings_Obot(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 17342[0:SSi:17341.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Orderings_Obot(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)))),c_False)**.
% 299.97/300.57 17349[0:SpL:13544.0,4436.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w,x),c_Complete__Lattice_OInf__class_OInf(tc_bool))** -> equal(v,c_False).
% 299.97/300.57 18718[0:Res:16121.0,1141.0] || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))),c_False))*.
% 299.97/300.57 19306[0:SpR:13734.1,13524.0] || -> equal(u,c_False) equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))),c_False)**.
% 299.97/300.57 19688[0:SpL:19653.0,4436.0] || equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(u,tc_bool),c_Orderings_Otop__class_Otop(tc_bool),v,w,x),c_HOL_Ominus__class_Ominus(u,tc_bool))** -> equal(v,c_False).
% 299.97/300.57 19925[0:SpR:3333.0,12724.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_fequal(tc_bool),c_False)))),c_False)**.
% 299.97/300.57 20164[0:Res:1310.2,20047.0] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20165[0:Res:1294.2,20047.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20166[0:Res:1276.2,20047.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20172[0:Res:618.1,20047.0] || hBOOL(hAPP(u,c_Orderings_Otop__class_Otop(tc_bool))) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,w),u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20264[0:MRR:20079.2,927.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20265[0:MRR:20078.2,927.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20266[0:MRR:20076.2,927.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20267[0:MRR:20075.2,927.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20435[0:SpR:20156.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.57 20443[0:SSi:20442.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20450[0:SpR:20245.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.57 20458[0:SSi:20457.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20465[0:SpR:20134.1,35.0] || hBOOL(u) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.57 20475[0:SSi:20474.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20482[0:SpR:20106.1,35.0] || hBOOL(u) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_COMBK(u,v,w),c_Orderings_Otop__class_Otop(tc_bool),x,y),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.57 20501[0:SSi:20500.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),c_COMBK(u,w,x))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 20564[0:Res:20526.0,114.0] || -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x)),tc_fun(v,tc_bool)),x),v)*.
% 299.97/300.57 21900[0:Res:935.0,352.0] || hBOOL(c_in(c_False,u,v)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_lessequals(tc_bool),v,tc_fun(w,tc_bool)),x))*.
% 299.97/300.57 21901[0:Res:1318.0,352.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_bool),w,tc_fun(x,tc_bool)),u))*.
% 299.97/300.57 23103[0:Obv:23004.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),y),y)**.
% 299.97/300.57 24609[0:SpR:24543.0,248.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w))*.
% 299.97/300.57 24685[0:SSi:24659.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(c_False,u,tc_bool)) c_Finite__Set_Ofinite(u,tc_bool) -> equal(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u,tc_bool),c_False)**.
% 299.97/300.57 25314[0:Obv:25305.1] || equal(hAPP(c_fequal(u),v),hAPP(c_Set_Oinsert(w,u),hAPP(c_fequal(u),x)))* -> equal(v,w).
% 299.97/300.57 25456[0:Obv:25453.1] || equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w)),hAPP(c_fequal(v),x))* -> equal(w,x).
% 299.97/300.57 26174[0:SpR:613.0,26073.0] || -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Set_Oinsert(v_x,t_a),w)),v_x)))*.
% 299.97/300.57 26449[0:SpR:613.0,26200.0] || -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Set_Oinsert(v_x,t_a),v)),v_x)),w))*.
% 299.97/300.57 26477[0:Res:26200.0,1141.0] || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),w),v_x))),c_False))*.
% 299.97/300.57 26849[0:SpR:418.1,26483.0] || hBOOL(c_in(v_x,u,t_a)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(hAPP(u,v_x),tc_bool),v)))*.
% 299.97/300.57 26865[0:SpR:418.1,26483.0] || hBOOL(c_in(hAPP(hAPP(c_Set_Oinsert(v_x,t_a),u),v_x),v,tc_bool))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v)).
% 299.97/300.57 26909[0:SpR:3333.0,26868.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_fequal(t_a),v_x)),v_x))))*.
% 299.97/300.57 28804[0:SSi:28777.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),c_False)** -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),u).
% 299.97/300.57 28904[0:SSi:28867.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u),c_False) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),u)),v)**.
% 299.97/300.57 29032[0:SSi:28997.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v))**.
% 299.97/300.57 29078[0:SSi:29063.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),c_False)** -> equal(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v)).
% 299.97/300.57 29162[0:SpR:28270.1,4252.0] || equal(c_False,u) -> hBOOL(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool)),w))*.
% 299.97/300.57 29165[0:SpR:28270.1,684.0] || equal(c_False,u) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool)),w),w)**.
% 299.97/300.57 29169[0:SpR:28270.1,685.0] || equal(c_False,u) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool)),v)**.
% 299.97/300.57 29182[0:SpR:28270.1,699.0] || equal(c_False,u) -> equal(hAPP(c_Set_Oinsert(v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool)),hAPP(c_fequal(tc_bool),v))**.
% 299.97/300.57 29191[0:SpR:28270.1,3176.0] || equal(c_False,u) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),c_False,w,x),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.57 29201[0:SpR:28270.1,28270.1] || equal(c_False,u) equal(c_False,v) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(x,u,tc_bool))*.
% 299.97/300.57 29273[0:SpL:28270.1,687.0] || equal(c_False,u) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool)))* -> .
% 299.97/300.57 29287[0:SpL:28270.1,13375.0] || equal(c_False,u) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool))* -> equal(v,c_False).
% 299.97/300.57 29288[0:SpL:28270.1,13376.0] || equal(c_False,u) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,w,tc_bool))* -> equal(w,c_False).
% 299.97/300.57 29289[0:SpL:28270.1,4380.1] || equal(c_False,u) hBOOL(v) equal(c_COMBK(v,w,x),c_SetInterval_Oord__class_OgreaterThanAtMost(y,u,tc_bool))* -> .
% 299.97/300.57 29710[0:SpR:28271.1,4252.0] || equal(c_False,u) -> hBOOL(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool)),w))*.
% 299.97/300.57 29713[0:SpR:28271.1,684.0] || equal(c_False,u) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool)),w),w)**.
% 299.97/300.57 29717[0:SpR:28271.1,685.0] || equal(c_False,u) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool)),v)**.
% 299.97/300.57 29730[0:SpR:28271.1,699.0] || equal(c_False,u) -> equal(hAPP(c_Set_Oinsert(v,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool)),hAPP(c_fequal(tc_bool),v))**.
% 299.97/300.57 29739[0:SpR:28271.1,3176.0] || equal(c_False,u) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),c_False,w,x),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.57 29749[0:SpR:28271.1,28270.1] || equal(c_False,u) equal(c_False,v) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,v,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(x,u,tc_bool))*.
% 299.97/300.57 29750[0:SpR:28271.1,28271.1] || equal(c_False,u) equal(c_False,v) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(w,v,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(x,u,tc_bool))*.
% 299.97/300.57 29822[0:SpL:28271.1,687.0] || equal(c_False,u) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool)))* -> .
% 299.97/300.57 29836[0:SpL:28271.1,13375.0] || equal(c_False,u) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,v,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool))* -> equal(v,c_False).
% 299.97/300.57 29837[0:SpL:28271.1,13376.0] || equal(c_False,u) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,w,tc_bool))* -> equal(w,c_False).
% 299.97/300.57 29838[0:SpL:28271.1,4380.1] || equal(c_False,u) hBOOL(v) equal(c_COMBK(v,w,x),c_SetInterval_Oord__class_OatLeastLessThan(y,u,tc_bool))* -> .
% 299.97/300.57 34561[0:SSi:34542.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v))* equal(v,u).
% 299.97/300.57 34572[0:SpL:13374.1,28273.1] || equal(c_False,u) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,w,tc_bool))* -> equal(v,c_False).
% 299.97/300.57 35220[0:SpR:28358.1,1430.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),u))*.
% 299.97/300.57 35242[0:SpR:3333.0,28358.1] || equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_fequal(tc_bool),u))),u)**.
% 299.97/300.57 35281[0:SpR:35239.1,35.0] || equal(c_False,u) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u),u,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 35309[0:SpR:35267.1,35.0] || equal(c_False,u) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),u,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 35329[0:SSi:35328.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),u)**.
% 299.97/300.57 36511[0:SSi:36423.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_fequal(t_a),v_x),v_x))))*.
% 299.97/300.57 37401[0:SpR:12624.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v_x))*.
% 299.97/300.57 38086[0:SSi:37905.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v)))*.
% 299.97/300.57 42609[0:SpR:12624.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),u))*.
% 299.97/300.57 44187[0:SpR:456.0,1383.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(u,v),w),x,v,tc_fun(tc_Hoare__Mirabelle_Otriple(y),tc_bool)),hAPP(x,u),y)*.
% 299.97/300.57 44612[0:SpR:44156.1,35.0] || equal(c_False,u) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_bool),u),c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 44637[0:SSi:44636.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_lessequals(tc_bool),u))),c_False)**.
% 299.97/300.57 44638[0:SpL:5266.1,44153.1] class_Orderings_Oorder(u) || equal(c_False,v) equal(hAPP(c_lessequals(tc_bool),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u))* -> .
% 299.97/300.57 44639[0:SpL:5136.1,44153.1] class_Orderings_Oorder(u) || equal(c_False,v) equal(hAPP(c_lessequals(tc_bool),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u))* -> .
% 299.97/300.57 44648[0:SpR:712.1,44578.0] class_Orderings_Oorder(u) || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,u,tc_fun(x,tc_bool)),hAPP(w,v))**.
% 299.97/300.57 44779[0:SpL:728.0,44668.0] || equal(hAPP(c_fequal(u),c_False),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_COMBC(c_fequal(u),u,u,tc_bool),tc_bool),c_False)**.
% 299.97/300.57 44788[0:SpL:1581.0,44668.0] || equal(hAPP(hAPP(c_fequal(u),c_False),v),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_fequal(u),v),tc_bool),c_False).
% 299.97/300.57 45770[0:SpR:29744.1,44894.0] || equal(c_False,u) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool)),tc_bool),c_False)**.
% 299.97/300.57 45775[0:SpR:29194.1,44894.0] || equal(c_False,u) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool)),tc_bool),c_False)**.
% 299.97/300.57 46247[0:SSi:46178.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),u)**.
% 299.97/300.57 49045[2:Res:36.1,47875.1] class_Lattices_Olattice(u) || equal(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),v),c_False)** -> .
% 299.97/300.57 49046[2:Res:42.1,47875.1] class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),v),c_False)** -> .
% 299.97/300.57 49048[2:Res:320.0,47875.1] || equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)),v),c_False)** -> .
% 299.97/300.57 49065[2:Res:228.1,47875.1] class_Lattices_Olattice(u) || equal(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),c_False)** -> .
% 299.97/300.57 49066[2:Res:233.1,47875.1] class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),c_False)** -> .
% 299.97/300.57 49067[2:Res:229.1,47875.1] class_Lattices_Olattice(u) || equal(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),c_False)** -> .
% 299.97/300.57 49068[2:Res:232.1,47875.1] class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),c_False)** -> .
% 299.97/300.57 49076[2:Res:1560.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_False),c_False)** -> .
% 299.97/300.57 49077[2:Res:1554.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),u),c_False)** -> .
% 299.97/300.57 49080[2:Res:1539.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(c_COMBK(u,v,w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),u),c_False)** -> .
% 299.97/300.57 49082[2:Res:1928.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),u),c_False)** -> .
% 299.97/300.57 49087[2:Res:4707.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_False),c_False)** -> .
% 299.97/300.57 49089[2:Res:4838.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_lessequals(tc_bool),w)),c_False),c_False)** -> .
% 299.97/300.57 49090[2:Res:4818.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_fequal(w),x)),c_False),c_False)** -> .
% 299.97/300.57 49121[2:Res:13702.1,47875.1] || equal(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v),c_False)** -> equal(u,c_False).
% 299.97/300.57 49126[2:Res:28274.1,47875.1] || equal(hAPP(u,v),c_False) equal(hAPP(hAPP(c_lessequals(tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool)),v),c_False)** -> .
% 299.97/300.57 49135[2:Res:5783.1,47875.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_False),c_False)** -> .
% 299.97/300.57 49139[2:Res:4012.1,47875.1] class_Orderings_Obot(u) || equal(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_False),c_False)** -> .
% 299.97/300.57 49145[2:Res:34556.0,47875.1] || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u),c_False) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),u)**.
% 299.97/300.57 49154[2:Res:26165.1,47875.1] || hBOOL(c_in(v_x,u,t_a)) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(u,v_x)),c_False)** -> .
% 299.97/300.57 49157[2:Res:26440.1,47875.1] || hBOOL(c_in(v_x,u,t_a)) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(u,v_x)),v),c_False)** -> .
% 299.97/300.57 49163[2:Res:37.1,47875.1] class_Lattices_Olattice(u) || equal(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),w),c_False)** -> .
% 299.97/300.57 49164[2:Res:41.1,47875.1] class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),w),c_False)** -> .
% 299.97/300.57 49176[2:Res:5143.1,47875.1] class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),w),c_False)** -> .
% 299.97/300.57 49177[2:Res:5274.1,47875.1] class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),w),c_False)** -> .
% 299.97/300.57 49178[2:Res:1537.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),w),c_False)** -> .
% 299.97/300.57 49189[2:Res:8390.0,47875.1] || equal(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)),w),c_False)** -> .
% 299.97/300.57 49194[2:Res:6062.0,47875.1] || equal(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),hAPP(c_fequal(v),x))),x),c_False)** -> .
% 299.97/300.57 49199[2:Res:13377.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)),c_False),c_False)** -> .
% 299.97/300.57 49200[2:Res:13033.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w)),c_False),c_False)** -> .
% 299.97/300.57 49202[2:Res:8830.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_False),c_False)** -> .
% 299.97/300.57 49203[2:Res:9004.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_False),c_False)** -> .
% 299.97/300.57 49205[2:Res:28240.1,47875.1] || equal(c_False,u) equal(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(tc_bool),u)),c_False),c_False)** -> .
% 299.97/300.57 49208[2:Res:26483.0,47875.1] || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Set_Oinsert(v_x,t_a),u),v_x),tc_bool),v)),c_False)** -> .
% 299.97/300.57 49225[2:Res:404.1,47875.1] || hBOOL(c_in(u,v,w)) equal(c_in(u,hAPP(c_Set_Oinsert(x,w),v),w),c_False)** -> .
% 299.97/300.57 49235[2:Res:248.0,47875.1] || equal(c_in(hAPP(u,v),hAPP(c_Set_Oimage(u,w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x),c_False)** -> .
% 299.97/300.57 49242[2:Res:3674.1,47875.1] class_Orderings_Oorder(u) || equal(c_in(v,hAPP(c_Set_Oinsert(w,u),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),u),c_False)** -> .
% 299.97/300.57 49253[2:Res:4255.2,47875.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || equal(c_in(c_False,hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v),c_False)** -> .
% 299.97/300.57 49254[2:Res:4254.2,47875.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || equal(c_in(c_False,hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v),c_False)** -> .
% 299.97/300.57 49255[2:Res:4253.2,47875.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || equal(c_in(c_False,hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v),c_False)** -> .
% 299.97/300.57 49260[2:Res:10476.0,47875.1] || equal(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v),c_False)** -> .
% 299.97/300.57 49373[2:SpL:405.0,49051.0] || equal(hAPP(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),y)),hAPP(u,x)),c_False)** -> .
% 299.97/300.57 50388[2:SpR:47834.1,13523.0] || hBOOL(u) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))),c_False)**.
% 299.97/300.57 50410[2:SpR:47834.1,691.0] || hBOOL(u) -> equal(hAPP(c_Set_Oimage(v,tc_bool,w),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),c_COMBK(c_False,tc_bool,w))**.
% 299.97/300.57 50428[2:SpR:47834.1,10498.0] || hBOOL(u) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 50432[2:SpR:47834.1,899.0] || hBOOL(u) -> equal(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,c_False,w,x),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))**.
% 299.97/300.57 50474[2:SpL:47834.1,4145.1] || hBOOL(u) equal(v,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) equal(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.57 50477[2:SpL:47834.1,696.0] || hBOOL(u) c_Finite__Set_Ofold__graph(v,w,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),x,tc_bool,y)* -> equal(x,w).
% 299.97/300.57 50483[2:SpL:47834.1,28273.1] || hBOOL(u) equal(c_False,v) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_bool))* -> .
% 299.97/300.57 53168[2:SpL:1581.0,53092.0] || hBOOL(hAPP(hAPP(c_fequal(u),v),w))* equal(hAPP(hAPP(c_fequal(u),w),v),c_False) -> .
% 299.97/300.57 54992[2:SpL:28271.1,47835.1] || equal(c_False,u) hBOOL(v) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,v,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool))* -> .
% 299.97/300.57 54993[2:SpL:28270.1,47835.1] || equal(c_False,u) hBOOL(v) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool))* -> .
% 299.97/300.57 55003[2:SpL:28271.1,47836.1] || equal(c_False,u) hBOOL(v) equal(c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,v,tc_bool))* -> .
% 299.97/300.57 55004[2:SpL:28270.1,47836.1] || equal(c_False,u) hBOOL(v) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,v,tc_bool))* -> .
% 299.97/300.57 58634[0:SSi:58591.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),v)))*.
% 299.97/300.57 59276[0:SSi:59240.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),u))))*.
% 299.97/300.57 60988[2:SpL:712.1,49153.0] class_Orderings_Oorder(t_a) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x)),c_False)** -> .
% 299.97/300.57 61062[2:SpL:712.1,49155.0] class_Orderings_Oorder(t_a) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x)),u),c_False)** -> .
% 299.97/300.57 61138[2:SpL:50423.1,49111.0] || hBOOL(u) equal(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v),c_False)** -> .
% 299.97/300.57 61293[0:SpR:49966.1,676.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v))*.
% 299.97/300.57 61315[0:SpR:49966.1,677.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v)**.
% 299.97/300.57 61334[2:SpR:49966.1,47834.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(v) -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*.
% 299.97/300.57 61335[0:SpR:49966.1,13374.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(v,c_False) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*.
% 299.97/300.57 61383[0:SpL:49966.1,971.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))))* -> .
% 299.97/300.57 61396[0:SpL:49966.1,694.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(hAPP(v,w))* equal(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.57 62220[0:Rew:62049.0,46246.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),u)** equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)).
% 299.97/300.57 62223[0:Rew:62049.0,34560.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))*.
% 299.97/300.57 62231[0:Rew:62049.0,35983.1] || equal(c_False,u) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,v,tc_bool))* -> equal(v,u).
% 299.97/300.57 62232[0:Rew:62049.0,35984.1] || equal(c_False,u) equal(c_SetInterval_Oord__class_OatLeastLessThan(u,v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))* -> equal(v,u).
% 299.97/300.57 62239[0:Rew:62049.0,44691.1] || equal(hAPP(u,v),c_False) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 62240[0:Rew:62049.0,44692.1] || equal(hAPP(u,v),c_False) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 63860[0:SpR:3333.0,59016.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_fequal(tc_bool),u)))))*.
% 299.97/300.57 63918[0:SSi:63917.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.57 64783[0:SSi:64782.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)))*.
% 299.97/300.57 64952[0:SpR:3333.0,59997.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),v)))),v))*.
% 299.97/300.57 65020[0:SSi:65019.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.57 65607[0:SSi:65606.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)))*.
% 299.97/300.57 73214[0:SpR:34557.1,34556.1] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v))* equal(u,v)*.
% 299.97/300.57 73300[2:Res:34557.0,53092.0] || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u),c_False) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),u)**.
% 299.97/300.57 73341[0:SSi:73340.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),v)** equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)).
% 299.97/300.57 73550[2:Res:34558.0,53092.0] || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u),c_False) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),v)**.
% 299.97/300.57 73599[0:SSi:73598.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),u)** equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)).
% 299.97/300.57 73724[0:SpR:613.0,73581.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Set_Oinsert(v_x,t_a),v)),v_x)))*.
% 299.97/300.57 73789[2:SpL:712.1,73654.0] class_Orderings_Oorder(t_a) || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x)),c_False)** -> .
% 299.97/300.57 73844[0:SpR:712.1,73675.0] class_Orderings_Oorder(t_a) || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x),c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 73929[0:SpL:3333.0,73752.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_fequal(t_a),v_x)),v_x)),c_False))* -> .
% 299.97/300.57 74649[2:SpL:418.1,73732.0] || hBOOL(c_in(v_x,u,t_a)) equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(u,v_x)),c_False)** -> .
% 299.97/300.57 74719[0:SpR:418.1,73754.0] || hBOOL(c_in(v_x,u,t_a)) -> equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(u,v_x),c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 75550[2:Res:34559.0,53092.0] || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u),c_False) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),v)**.
% 299.97/300.57 75596[0:SSi:75595.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),v)** equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)).
% 299.97/300.57 75665[0:SSi:75664.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)))* equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,u,tc_bool)) -> .
% 299.97/300.57 75667[0:SSi:75666.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)))* equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) -> .
% 299.97/300.57 77058[0:SpR:418.1,58783.0] || hBOOL(c_in(u,v,tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v)),u)**.
% 299.97/300.57 77190[2:Res:59172.0,53092.0] || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),c_False)** -> equal(u,v).
% 299.97/300.57 77228[0:SSi:77227.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(u,v) equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 77320[0:SpR:418.1,59886.0] || hBOOL(c_in(u,v,tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),v)),u)**.
% 299.97/300.57 77866[2:Res:9516.0,53092.0] || equal(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_False),c_False)** -> .
% 299.97/300.57 78237[2:Res:9800.0,53092.0] || equal(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_False),c_False)** -> .
% 299.97/300.57 78796[2:Res:14846.0,49440.0] || equal(c_in(c_False,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w),c_False)** -> .
% 299.97/300.57 79897[0:Obv:79792.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) equal(c_False,u) -> equal(u,c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))*.
% 299.97/300.57 79922[0:Obv:79474.1] || hBOOL(c_in(u,v,w))* equal(c_False,v) -> equal(v,c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(u,w),tc_bool))*.
% 299.97/300.57 79929[0:Obv:79558.1] class_Lattices_Obounded__lattice(u) || equal(c_Orderings_Obot__class_Obot(u),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_bool),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.57 79931[0:Obv:79556.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Orderings_Obot__class_Obot(u),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_bool),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.57 79932[0:Obv:79521.1] class_Lattices_Obounded__lattice(u) || equal(c_Orderings_Otop__class_Otop(u),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_bool),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.57 79934[0:Obv:79519.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Orderings_Otop__class_Otop(u),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_bool),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.57 79973[0:Obv:79612.0] || equal(hAPP(c_fequal(u),v),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,u),tc_bool),hAPP(c_fequal(u),v))**.
% 299.97/300.57 80090[0:SpL:712.1,79995.0] class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_False)** equal(c_COMBK(c_False,tc_bool,u),c_False)** -> .
% 299.97/300.57 80305[0:SpL:14872.0,79861.0] || hBOOL(u) equal(c_HOL_Ominus__class_Ominus(u,tc_bool),c_False) -> equal(c_HOL_Ominus__class_Ominus(u,tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))*.
% 299.97/300.57 81107[0:MRR:81045.2,927.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 81356[0:MRR:81314.2,927.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 81442[2:Res:14945.0,49440.0] || equal(c_in(u,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w),c_False)** -> .
% 299.97/300.57 81506[0:SpR:24543.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x)))*.
% 299.97/300.57 81588[0:SpR:12624.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),u)))*.
% 299.97/300.57 81591[0:SpR:12550.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),c_Orderings_Otop__class_Otop(tc_bool))))*.
% 299.97/300.57 81837[2:Res:24254.0,53092.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,v)),hAPP(hAPP(c_Set_Oinsert(w,x),u),v)),c_False)** -> .
% 299.97/300.57 81868[0:SSi:81867.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Set_Oinsert(u,v),w),x),hAPP(w,x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 81870[0:SSi:81869.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Set_Oinsert(u,v),w),x),hAPP(w,x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 82003[2:Res:81832.0,53092.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(u,tc_bool)),c_False)),c_False)** -> .
% 299.97/300.57 82031[0:SSi:82030.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Set_Oinsert(u,v),c_HOL_Ominus__class_Ominus(w,tc_bool)),c_False),w,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 82033[0:SSi:82032.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Set_Oinsert(u,v),c_HOL_Ominus__class_Ominus(w,tc_bool)),c_False),w,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 82111[0:Res:82101.0,768.0] || -> equal(hAPP(c_Set_Oimage(c_COMBK(u,v,w),w,v),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),hAPP(c_fequal(v),u))**.
% 299.97/300.57 82390[0:SpR:82160.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.57 82431[0:SSi:82430.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)))),c_False)**.
% 299.97/300.57 82532[0:SpL:82132.0,4436.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))** -> equal(u,c_False).
% 299.97/300.57 83081[0:SpR:24543.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.57 83163[0:SpR:12624.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v),hAPP(c_Set_Oinsert(w,u),x)),w))*.
% 299.97/300.57 83166[0:SpR:12550.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),x)),u))*.
% 299.97/300.57 83266[0:SpR:5198.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool),u),x)),c_False))*.
% 299.97/300.57 83267[0:SpR:8825.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool),u),x)),c_False))*.
% 299.97/300.57 83269[0:SpR:5331.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool),u),x)),c_False))*.
% 299.97/300.57 83270[0:SpR:8998.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool),u),x)),c_False))*.
% 299.97/300.57 83281[0:SpR:15481.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_fequal(tc_bool),c_False),u),w)),c_False))*.
% 299.97/300.57 83321[0:SpR:15484.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u),w)),c_False))*.
% 299.97/300.57 83372[0:SpR:12718.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_fequal(tc_bool),c_False),u),w)),c_False))*.
% 299.97/300.57 83373[0:SpR:13510.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_bool),c_False),u),w)),c_False))*.
% 299.97/300.57 83388[0:SpR:12731.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u),w)),c_False))*.
% 299.97/300.57 83395[0:SpR:13517.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),u),x)),c_False))*.
% 299.97/300.57 83396[0:SpR:82115.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u),w)),c_False))*.
% 299.97/300.57 83485[2:Res:83095.0,53092.0] || equal(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_False,tc_bool),u,v),hAPP(c_Set_Oinsert(w,u),x)),c_False),c_False)** -> .
% 299.97/300.57 83534[2:Res:83096.0,53092.0] || equal(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),hAPP(c_Set_Oinsert(u,v),x)),c_False),c_False)** -> .
% 299.97/300.57 83695[2:Res:83409.0,53092.0] || equal(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),hAPP(c_Set_Oinsert(c_False,v),x)),u),c_False)** -> .
% 299.97/300.57 84827[2:SSi:84803.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)),c_False)** -> .
% 299.97/300.57 85468[2:SSi:85438.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),u)),c_False)** -> .
% 299.97/300.57 85469[2:SSi:85417.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u)),c_False)** -> .
% 299.97/300.57 87251[0:Res:618.1,86811.0] || hBOOL(hAPP(u,v))* hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(w,x),u)))*.
% 299.97/300.57 87258[0:Res:1013.1,86811.0] class_Orderings_Oorder(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Finite__Set_Ofold1Set(w,c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),u)))*.
% 299.97/300.57 87265[0:Res:409.0,86811.0] || hBOOL(hAPP(c_Set_Oinsert(u,v),w))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(v,tc_bool)),w)))*.
% 299.97/300.57 87798[0:MRR:15007.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),u)),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))))*.
% 299.97/300.57 87847[0:MRR:15071.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),u)),hAPP(c_fequal(w),v)))*.
% 299.97/300.57 88729[0:SpR:8828.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.57 88730[0:SpR:9428.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.57 88731[0:SpR:9002.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.57 88732[0:SpR:9728.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.57 88744[0:SpR:956.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),v,w),hAPP(c_Set_Oinsert(u,v),x)),w))*.
% 299.97/300.57 88751[0:SpR:657.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(c_COMBK(u,v,w),x,y),hAPP(c_Set_Oinsert(z,x),x1)),y))*.
% 299.97/300.57 88759[0:SpR:19460.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),x)),w))*.
% 299.97/300.57 88778[0:SpR:988.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(c_False,v),x)),w))*.
% 299.97/300.57 88814[0:SpR:1088.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_Set_Oinsert(w,u),x)),v))*.
% 299.97/300.57 88816[0:SpR:1118.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(c_False,v),x)),w))*.
% 299.97/300.57 88817[0:SpR:1916.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(u,v),x)),w))*.
% 299.97/300.57 88854[0:SpR:58351.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(u,v),x)),w))*.
% 299.97/300.57 89527[0:Res:15156.0,730.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool)),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.57 89566[0:Res:15156.0,496.1] || hBOOL(hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),tc_fun(v,tc_bool)),w))* -> hBOOL(hAPP(u,w)).
% 299.97/300.57 89977[0:SpL:2651.0,18905.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),hAPP(c_fequal(u),v)))* -> .
% 299.97/300.57 90182[2:SpL:3333.0,88486.1] || hBOOL(u) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,w),hAPP(c_fequal(w),u))),c_False)** -> .
% 299.97/300.57 90721[0:MRR:90676.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),u)),w))*.
% 299.97/300.57 90770[0:SpR:90717.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.57 90809[0:SSi:90808.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 91092[0:SpL:3333.0,87685.0] || hBOOL(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oinsert(w,v))).
% 299.97/300.57 92393[0:SpR:24543.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),v_x)),c_False)**.
% 299.97/300.57 92437[0:SpR:12624.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),v_x)),c_False)**.
% 299.97/300.57 92569[0:SpR:14531.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_False,tc_bool),tc_fun(u,tc_bool)),v),w)),c_False))*.
% 299.97/300.57 92570[0:SpR:14632.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(u,tc_bool),tc_fun(v,tc_bool)),w),u)),c_False))*.
% 299.97/300.57 92890[0:SpR:14872.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(u,tc_bool),tc_fun(v,tc_bool)),w),c_False)),u))*.
% 299.97/300.57 92954[0:SSi:92926.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_HOL_Ominus__class_Ominus(hAPP(u,v_x),tc_bool),hAPP(v,v_x))),hAPP(u,v_x)))*.
% 299.97/300.57 93200[0:Obv:93168.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_False)),tc_bool),c_False)**.
% 299.97/300.57 93398[0:Obv:93366.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),u))))*.
% 299.97/300.57 93399[0:MRR:93373.0,927.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),c_Orderings_Otop__class_Otop(tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 93521[2:Res:89278.2,53092.0] || hBOOL(c_in(c_False,u,tc_bool))* hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(u)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u),c_False) -> .
% 299.97/300.57 93733[0:Obv:93701.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_False),v)),tc_bool),c_False)**.
% 299.97/300.57 93940[2:Res:93877.1,53092.0] || hBOOL(u) equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),c_False)** -> .
% 299.97/300.57 93973[0:SSi:93972.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) -> equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 93974[0:SSi:93927.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))))*.
% 299.97/300.57 94037[2:Res:93968.1,53092.0] || hBOOL(u) equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),c_False)** -> .
% 299.97/300.57 94073[0:SSi:94072.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) -> equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.57 94132[0:SpL:58783.0,84465.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),w)))*.
% 299.97/300.57 94441[0:SpR:59886.0,84655.1] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u))*.
% 299.97/300.57 94605[0:Res:26.1,16791.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* equal(v,w) -> equal(w,v).
% 299.97/300.57 94657[0:SpL:29742.1,94573.0] || equal(c_False,u) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w)* -> equal(w,c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool))*.
% 299.97/300.57 94658[0:SpL:29194.1,94573.0] || equal(c_False,u) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w)* -> equal(w,c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool))*.
% 299.97/300.57 94689[0:SpL:29743.1,94575.0] || equal(c_False,u) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w)* -> equal(w,c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool))*.
% 299.97/300.57 94690[0:SpL:29195.1,94575.0] || equal(c_False,u) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w)* -> equal(w,c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool))*.
% 299.97/300.57 94823[0:Res:17248.0,496.1] || hBOOL(hAPP(u,v)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Set_Oinsert(y,x),u)),v))*.
% 299.97/300.57 95203[0:SpL:29744.1,94574.0] || equal(c_False,u) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w)* -> equal(w,c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool))*.
% 299.97/300.57 95204[0:SpL:29196.1,94574.0] || equal(c_False,u) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w)* -> equal(w,c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool))*.
% 299.97/300.57 95410[0:SpL:29745.1,94576.0] || equal(c_False,u) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w)* -> equal(w,c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool))*.
% 299.97/300.57 95411[0:SpL:29197.1,94576.0] || equal(c_False,u) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w)* -> equal(w,c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool))*.
% 299.97/300.57 95795[2:Res:86862.1,53092.0] || hBOOL(u) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),c_False)** -> .
% 299.97/300.57 95819[2:Res:87259.2,53092.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)),c_False)** -> .
% 299.97/300.57 95841[2:Res:87263.2,53092.0] class_Orderings_Otop(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)),c_False)** -> .
% 299.97/300.57 95966[2:Res:87566.2,53092.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),c_False)** -> .
% 299.97/300.57 95982[2:Res:87567.2,53092.0] class_Lattices_Obounded__lattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),c_False)** -> .
% 299.97/300.57 95994[2:Res:87573.2,53092.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),c_False)** -> .
% 299.97/300.57 96007[2:Res:87574.2,53092.0] class_Lattices_Obounded__lattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),c_False)** -> .
% 299.97/300.57 96043[2:Res:87828.1,53092.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u)),v),c_False)** -> .
% 299.97/300.57 96148[2:Res:87846.1,53092.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),c_False),c_False)** -> .
% 299.97/300.57 96204[0:SSi:96169.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_False),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),tc_fun(u,tc_bool))),c_False)**.
% 299.97/300.57 96208[0:SSi:96158.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w,v)* -> c_Hoare__Mirabelle_Ohoare__derivs(c_False,w,v).
% 299.97/300.57 96209[0:SSi:96157.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(u,c_False,v) -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),v)*.
% 299.97/300.57 96307[0:SpL:58783.0,93800.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),w))))*.
% 299.97/300.57 96438[0:SpL:58783.0,94130.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))),w))*.
% 299.97/300.57 96507[0:SpR:59886.0,96435.1] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w))*.
% 299.97/300.57 96551[2:Res:96435.1,53092.0] || hBOOL(u) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),w),c_False)** -> .
% 299.97/300.57 96572[0:SSi:96537.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),tc_bool),w)))*.
% 299.97/300.57 96716[2:Res:96436.1,53092.0] || hBOOL(u) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w),c_False)** -> .
% 299.97/300.57 96738[0:SSi:96702.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),tc_bool),w)))*.
% 299.97/300.57 96844[2:Res:87827.1,53092.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),v),c_False)** -> .
% 299.97/300.57 96913[0:SSi:96874.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),tc_fun(u,tc_bool))),v)**.
% 299.97/300.57 96917[0:SSi:96863.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w,v)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,w,v).
% 299.97/300.57 96918[0:SSi:96862.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.57 97005[2:Res:87839.1,53092.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),v),c_False)** -> .
% 299.97/300.57 97073[0:SSi:97035.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),tc_fun(u,tc_bool))),v)**.
% 299.97/300.57 97077[0:SSi:97024.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w,v)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,w,v).
% 299.97/300.57 97078[0:SSi:97023.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.57 98179[0:Res:4138.1,74821.0] || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool))) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x))*.
% 299.97/300.57 98182[0:Res:4138.1,74885.0] || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool))) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x))*.
% 299.97/300.57 98309[0:Res:4138.1,37370.0] || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool))) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v_x))*.
% 299.97/300.57 98312[0:Res:4138.1,37402.0] || equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v_x),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool))) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v_x))*.
% 299.97/300.57 98413[0:Res:4138.1,42577.0] || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool))) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),u))*.
% 299.97/300.57 98416[0:Res:4138.1,42610.0] || equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v_x),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool))) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),u))*.
% 299.97/300.57 98577[0:Res:4138.1,58443.0] || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool))) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v_x))*.
% 299.97/300.57 98650[0:SpL:2659.0,12274.0] || c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(u,tc_bool),tc_bool))),u)* -> c_Finite__Set_Ofinite(v,u)*.
% 299.97/300.57 98651[0:SpL:699.0,12274.0] || c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_fequal(tc_fun(u,tc_bool)),v)),u)* -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.57 98671[0:SSi:98659.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_fun(u,tc_bool))),u)* -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.57 98674[0:Res:4138.1,73352.0] || equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)))** -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x))*.
% 299.97/300.57 99797[0:SpL:3333.0,99543.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_fequal(t_a),v_x)),v_x)))* -> .
% 299.97/300.57 99841[2:Res:99518.1,53092.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u))* equal(hAPP(hAPP(c_lessequals(tc_bool),u),v),c_False)** -> .
% 299.97/300.57 99888[0:SSi:99887.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u))* -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))*.
% 299.97/300.57 99890[0:SSi:99889.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))*.
% 299.97/300.57 100353[0:SSi:100319.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Olower__semilattice(u) || c_Finite__Set_Ofinite(v,w) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_fun(w,tc_bool)),w)*.
% 299.97/300.57 100455[2:Res:100450.0,53092.0] || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)),c_False)** -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u))*.
% 299.97/300.57 100457[0:Res:100450.0,20047.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),v)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.57 100479[2:Res:100450.1,53092.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),u),v),c_False)** -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.57 100529[0:SSi:100528.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)))* equal(c_SetInterval_Oord__class_OatLeastLessThan(u,v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))*.
% 299.97/300.57 100531[0:SSi:100530.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)))* equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))*.
% 299.97/300.57 100533[0:SSi:100532.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)).
% 299.97/300.57 100637[0:SSi:100603.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Oupper__semilattice(u) || c_Finite__Set_Ofinite(v,w) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_fun(w,tc_bool)),w)*.
% 299.97/300.57 101381[0:Res:253.1,3919.0] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),x))* -> hBOOL(c_in(x,v,u)).
% 299.97/300.57 101423[0:SpR:712.1,101313.0] class_Orderings_Oorder(t_a) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x))),c_False)**.
% 299.97/300.57 101939[0:Res:3578.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),hAPP(hAPP(c_fequal(t_a),v_x),v_x)))))*.
% 299.97/300.57 101960[0:Res:22323.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_fequal(t_a),v_x),u,v),hAPP(c_Set_Oinsert(v_x,u),w))))*.
% 299.97/300.57 102131[0:SpR:712.1,101838.0] class_Orderings_Oorder(t_a) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x),u),v)))*.
% 299.97/300.58 102183[2:Res:101819.0,53092.0] || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(hAPP(c_fequal(t_a),v_x),v_x))),c_False)** -> .
% 299.97/300.58 102419[0:SpL:15551.0,13885.0] || c_Finite__Set_Ofinite(u,v)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.58 102520[0:SpL:12544.0,13885.0] || c_Finite__Set_Ofinite(c_False,u) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(u,tc_bool)),u)*.
% 299.97/300.58 102649[0:SpR:956.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),t_a)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x)))*.
% 299.97/300.58 102656[0:SpR:657.0,26903.1] || hBOOL(c_in(v_x,c_COMBK(u,v,w),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)))*.
% 299.97/300.58 102683[0:SpR:1916.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v_x),t_a)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x)))*.
% 299.97/300.58 102714[0:SpR:58351.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),t_a)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x)))*.
% 299.97/300.58 102751[0:Res:1310.2,24826.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u),v))*.
% 299.97/300.58 102752[0:Res:1294.2,24826.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u),v))*.
% 299.97/300.58 102753[0:Res:1276.2,24826.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u),v))*.
% 299.97/300.58 102757[0:Res:676.0,24826.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_COMBK(c_False,tc_bool,u),v,tc_fun(u,tc_bool)),v))*.
% 299.97/300.58 102778[0:Res:8797.0,24826.1] class_Orderings_Olinorder(tc_fun(tc_bool,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,tc_fun(tc_bool,tc_bool)),v))*.
% 299.97/300.58 102779[0:Res:9618.0,24826.1] class_Orderings_Olinorder(tc_fun(tc_bool,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,tc_fun(tc_bool,tc_bool)),v))*.
% 299.97/300.58 102780[0:Res:8970.0,24826.1] class_Orderings_Olinorder(tc_fun(tc_bool,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,tc_fun(tc_bool,tc_bool)),v))*.
% 299.97/300.58 102781[0:Res:9851.0,24826.1] class_Orderings_Olinorder(tc_fun(tc_bool,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,tc_fun(tc_bool,tc_bool)),v))*.
% 299.97/300.58 102794[0:Res:28211.1,24826.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool),v))*.
% 299.97/300.58 102797[0:Res:59997.0,24826.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),u,tc_bool),u))*.
% 299.97/300.58 102865[0:Obv:102835.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(w,v,u),v))*.
% 299.97/300.58 102866[0:Obv:102834.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(w,v,u),v))*.
% 299.97/300.58 102936[0:Res:1313.2,25011.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u),v))*.
% 299.97/300.58 102937[0:Res:1293.2,25011.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u),v))*.
% 299.97/300.58 102938[0:Res:1273.2,25011.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u),v))*.
% 299.97/300.58 102940[0:Res:464.0,25011.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),tc_fun(u,tc_bool)),v))*.
% 299.97/300.58 102967[0:Res:28211.1,25011.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool),u))*.
% 299.97/300.58 103027[0:Res:59016.0,25011.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),tc_bool),u))*.
% 299.97/300.58 103038[0:Obv:103008.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(w,v,u),w))*.
% 299.97/300.58 103039[0:Obv:103007.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(w,v,u),w))*.
% 299.97/300.58 103119[0:SpL:5398.0,26331.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),w),v)* -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),x),v)*.
% 299.97/300.58 103532[0:SSi:103507.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),w),x)* -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(u,v),tc_fun(x,tc_bool)),x)*.
% 299.97/300.58 103557[2:Res:102762.2,53092.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u),c_Orderings_Otop__class_Otop(u)),c_False)** -> .
% 299.97/300.58 103594[2:Res:102766.2,53092.0] class_Orderings_Otop(u) class_Orderings_Olinorder(u) || equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u),c_Orderings_Otop__class_Otop(u)),c_False)** -> .
% 299.97/300.58 103633[2:Res:102923.2,53092.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u),c_Orderings_Obot__class_Obot(u)),c_False)** -> .
% 299.97/300.58 103683[2:Res:102927.2,53092.0] class_Orderings_Obot(u) class_Orderings_Olinorder(u) || equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u),c_Orderings_Obot__class_Obot(u)),c_False)** -> .
% 299.97/300.58 103722[0:SpR:418.1,103531.0] || hBOOL(c_in(u,v,w)) -> c_Hoare__Mirabelle_Ohoare__derivs(v,c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(u,w),tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)),x)*.
% 299.97/300.58 103733[0:SpR:1523.1,103531.0] class_Orderings_Oorder(u) || -> c_Hoare__Mirabelle_Ohoare__derivs(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,u),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.58 103807[0:SSi:103806.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))*.
% 299.97/300.58 103838[2:Res:103776.0,53092.0] || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)),c_False)** -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)).
% 299.97/300.58 103840[0:Res:103776.0,20047.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 103893[0:SSi:103890.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))* -> .
% 299.97/300.58 104616[0:Res:253.1,21899.0] || hBOOL(hAPP(u,v))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Set_Oinsert(w,x),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.58 104673[2:Res:104638.0,53092.0] || equal(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_lessequals(tc_bool),c_False),c_Set_Oinsert(u,v),w,tc_fun(x,tc_bool)),u),c_False)** -> .
% 299.97/300.58 104680[2:Res:104668.0,53092.0] || equal(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_Set_Oinsert(u,v),w,tc_fun(x,tc_bool)),u),c_False)** -> .
% 299.97/300.58 104687[2:Res:104648.0,53092.0] || equal(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_Set_Oinsert(v,w),x,tc_fun(y,tc_bool)),v),c_False)** -> .
% 299.97/300.58 105083[0:SpL:61329.1,105064.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,tc_bool,tc_bool)* -> c_Finite__Set_Ofinite(v,tc_bool).
% 299.97/300.58 106041[0:SpL:956.0,73923.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.58 106048[0:SpL:657.0,73923.1] || hBOOL(c_in(v_x,c_COMBK(u,v,w),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False)) -> .
% 299.97/300.58 106106[0:SpL:58351.0,73923.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.58 106145[0:SSi:106133.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False)) hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),t_a))* -> .
% 299.97/300.58 106146[0:SSi:106132.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),t_a))* -> .
% 299.97/300.58 106247[0:SpR:106169.0,4252.0] || -> hBOOL(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(u,tc_bool))),w))*.
% 299.97/300.58 106250[0:SpR:106169.0,684.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(u,tc_bool))),w),w)**.
% 299.97/300.58 106252[0:SpR:106169.0,44893.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(u,tc_bool))),tc_bool),c_False)**.
% 299.97/300.58 106255[0:SpR:106169.0,685.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_fun(u,tc_bool),tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_fun(u,tc_bool))),v)**.
% 299.97/300.58 106283[0:SpR:106169.0,1539.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_False))*.
% 299.97/300.58 106318[0:SpL:106169.0,687.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_fun(u,tc_bool),tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_fun(u,tc_bool))))* -> .
% 299.97/300.58 106323[0:SpL:106169.0,5958.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),w)* -> equal(w,c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))*.
% 299.97/300.58 106326[2:SpL:106169.0,50913.0] || hBOOL(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)))* equal(c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)),c_False) -> .
% 299.97/300.58 106329[0:SpL:106169.0,101331.0] || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)))* -> .
% 299.97/300.58 106343[0:SpL:106169.0,4389.0] || equal(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.58 106344[0:SpL:106169.0,8837.0] || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.58 106345[0:SpL:106169.0,9011.0] || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.58 106346[0:SpL:106169.0,9671.0] || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.58 106347[0:SpL:106169.0,9905.0] || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.58 106791[0:SpL:5228.0,4283.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),hAPP(c_lessequals(tc_bool),c_False))** -> c_Hoare__Mirabelle_Ohoare__derivs(v,u,w).
% 299.97/300.58 106798[0:SpL:5228.0,82113.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))** -> c_Hoare__Mirabelle_Ohoare__derivs(v,u,w).
% 299.97/300.58 106808[0:SpL:5228.0,4286.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,x).
% 299.97/300.58 106827[0:SpL:5228.0,106566.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)))** -> c_Hoare__Mirabelle_Ohoare__derivs(v,u,w).
% 299.97/300.58 106930[0:SpR:106423.0,4252.0] || -> hBOOL(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(u,tc_bool))),w))*.
% 299.97/300.58 106933[0:SpR:106423.0,684.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(u,tc_bool))),w),w)**.
% 299.97/300.58 106935[0:SpR:106423.0,44893.0] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(u,tc_bool))),tc_bool),c_False)**.
% 299.97/300.58 106938[0:SpR:106423.0,685.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_fun(u,tc_bool),tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(u,tc_bool))),v)**.
% 299.97/300.58 106969[0:SpR:106423.0,1539.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_False))*.
% 299.97/300.58 107000[0:SpL:106423.0,687.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_fun(u,tc_bool),tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(u,tc_bool))))* -> .
% 299.97/300.58 107005[0:SpL:106423.0,5958.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),w)* -> equal(w,c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))*.
% 299.97/300.58 107008[2:SpL:106423.0,50913.0] || hBOOL(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)))* equal(c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)),c_False) -> .
% 299.97/300.58 107011[0:SpL:106423.0,101331.0] || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)))* -> .
% 299.97/300.58 107025[0:SpL:106423.0,4389.0] || equal(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.58 107026[0:SpL:106423.0,8837.0] || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.58 107027[0:SpL:106423.0,9011.0] || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.58 107028[0:SpL:106423.0,9671.0] || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.58 107029[0:SpL:106423.0,9905.0] || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.58 108221[0:SSi:108192.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w),c_False)** -> .
% 299.97/300.58 108222[0:SSi:108191.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v),c_False)** -> .
% 299.97/300.58 109281[0:SpL:418.1,108008.0] || hBOOL(c_in(u,v,tc_bool)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v)),u))* -> .
% 299.97/300.58 109480[0:SpL:418.1,108272.0] || hBOOL(c_in(u,v,tc_bool)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),v)))* -> .
% 299.97/300.58 110043[0:SpR:79862.1,20154.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 110143[0:SpL:79862.1,1190.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),u)* -> c_Finite__Set_Ofinite(v,u)*.
% 299.97/300.58 110146[2:SpL:79862.1,49251.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** equal(c_in(c_False,c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),v),c_False)** -> .
% 299.97/300.58 110147[0:SpL:79862.1,4286.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** equal(c_COMBK(c_False,tc_bool,v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))** -> .
% 299.97/300.58 110148[0:SpL:79862.1,8847.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))** -> .
% 299.97/300.58 110149[0:SpL:79862.1,9021.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))** -> .
% 299.97/300.58 110150[0:SpL:79862.1,9681.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** equal(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))** -> .
% 299.97/300.58 110151[0:SpL:79862.1,9915.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))** -> .
% 299.97/300.58 110162[2:SpL:79862.1,49221.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) equal(c_in(v,c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),u),c_False)** -> .
% 299.97/300.58 110958[0:Rew:110955.0,20546.0] || -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(u,v),w),tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(x,v),w)),v)*.
% 299.97/300.58 111182[0:SpR:29743.1,111152.0] || equal(c_False,u) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.58 111183[0:SpR:29195.1,111152.0] || equal(c_False,u) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.58 111233[0:SpR:29743.1,111153.0] || equal(c_False,u) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.58 111234[0:SpR:29195.1,111153.0] || equal(c_False,u) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.58 111724[2:SpR:50422.1,111110.0] || hBOOL(u) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.58 111725[0:SpR:13733.1,111110.0] || -> equal(u,c_False) c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.58 111897[0:SSi:111835.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Obounded__lattice(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.58 111909[0:SSi:111825.1,111825.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,631.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,629.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,630.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,632.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,623.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,626.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,624.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,621.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,620.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,622.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,627.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,628.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v))*.
% 299.97/300.58 112151[0:SSi:112089.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Obounded__lattice(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.58 112164[0:SSi:112163.1,112163.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,631.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,629.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,630.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,632.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,623.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,626.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,624.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,621.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,620.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,622.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,627.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,628.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_COMBK(c_False,tc_bool,u),c_False) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),v))*.
% 299.97/300.58 112414[0:SpL:956.0,99791.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.58 112421[0:SpL:657.0,99791.1] || hBOOL(c_in(v_x,c_COMBK(u,v,w),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u)) -> .
% 299.97/300.58 112480[0:SpL:58351.0,99791.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.58 112509[0:Rew:99886.1,112473.0] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.58 1213[0:Res:533.1,1015.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_False))* -> equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),v).
% 299.97/300.58 1264[0:SpL:712.1,914.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_False))* -> equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_fequal(u),v)),v).
% 299.97/300.58 1520[0:SpR:1461.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oinsert(u,v),hAPP(c_fequal(v),u),hAPP(c_fequal(v),u),w,x),c_Set_Oinsert(u,v))**.
% 299.97/300.58 1529[0:SpR:255.1,1430.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),v))*.
% 299.97/300.58 1530[0:SpR:50.1,1430.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),v))*.
% 299.97/300.58 1540[0:SpR:19.1,1430.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),v))*.
% 299.97/300.58 1548[0:SpR:691.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(u,v,w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),c_COMBK(c_False,tc_bool,w)))*.
% 299.97/300.58 1551[0:SpR:367.1,1430.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),v))*.
% 299.97/300.58 1785[0:SpR:11.1,1430.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),v))*.
% 299.97/300.58 1888[0:SpR:3.1,1430.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),v))*.
% 299.97/300.58 2001[0:SpR:1923.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.58 2697[0:SpR:2659.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oinsert(u,v),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x),c_Set_Oinsert(u,v))**.
% 299.97/300.58 2698[0:SpR:2659.0,248.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(c_Set_Oinsert(v,u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.58 2739[0:SSi:2738.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),v)),hAPP(c_Set_Oinsert(w,u),v))**.
% 299.97/300.58 2744[0:SpR:418.1,2650.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),hAPP(c_fequal(w),u)),v))*.
% 299.97/300.58 2751[0:SpR:418.1,2648.1] || hBOOL(c_in(u,v,w))* hBOOL(hAPP(hAPP(c_fequal(w),u),x))* -> hBOOL(hAPP(v,x))*.
% 299.97/300.58 2918[0:SpR:1523.1,2650.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)))*.
% 299.97/300.58 2922[0:SpR:1523.1,2648.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_fequal(u),v),w))* -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w))*.
% 299.97/300.58 3269[0:SpR:757.0,1476.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(v)),x)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),w),v)*.
% 299.97/300.58 3920[0:SSi:3912.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),x),v))* -> hBOOL(c_in(u,x,v)).
% 299.97/300.58 4147[0:Res:4138.1,284.0] || equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))** -> hBOOL(c_in(x,u,v))*.
% 299.97/300.58 4281[0:SSi:4276.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Fun_Oinj__on(u,v,w,x) -> c_Fun_Oinj__on(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),y),v),w,x)*.
% 299.97/300.58 4376[0:Res:361.1,1152.0] || hBOOL(c_in(u,v,w))* equal(hAPP(c_Set_Oimage(x,w,y),v),c_COMBK(c_False,tc_bool,y))** -> .
% 299.97/300.58 4396[0:Res:137.1,4393.1] class_Finite__Set_Ofinite_Ofinite(u) || c_Fun_Oinj__on(v,w,x,u)* -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(x,tc_bool)),y),x)*.
% 299.97/300.58 4493[0:SpR:956.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),w,x),v),u))*.
% 299.97/300.58 4497[0:SpR:657.0,4377.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_COMBK(x,y,z),w,x1),v),x))*.
% 299.97/300.58 4515[0:SpR:988.0,4377.1] || hBOOL(c_in(c_False,u,v)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v,x),u),w))*.
% 299.97/300.58 4529[0:SpR:1916.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w,x),v),u))*.
% 299.97/300.58 4567[0:SpL:963.0,4436.0] || equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u,v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False))** -> equal(v,u).
% 299.97/300.58 4568[0:SpL:1123.0,4436.0] || equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),c_False,v,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u))** -> equal(v,c_False).
% 299.97/300.58 4569[0:SpL:992.0,4436.0] || equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),c_False,v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))** -> equal(v,u).
% 299.97/300.58 4570[0:SpL:1926.0,4436.0] || equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),u,v,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u))** -> equal(v,u).
% 299.97/300.58 4577[0:SpL:899.0,4436.0] || equal(c_Fun_Ofun__upd(c_COMBK(u,v,w),x,y,z,x1),c_COMBK(u,v,w))** -> equal(y,u).
% 299.97/300.58 4713[0:Res:4249.1,4527.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),c_COMBK(u,x,y)),c_False))*.
% 299.97/300.58 4835[0:Res:1003.1,4686.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),c_SetInterval_Oord__class_OatLeastAtMost(x,x,u)),c_False))*.
% 299.97/300.58 4840[0:Res:701.0,4686.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),c_Finite__Set_Ofold1Set(w,hAPP(c_fequal(x),y),x)),c_False))*.
% 299.97/300.58 4910[0:SpR:418.1,4836.0] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),v),c_False))*.
% 299.97/300.58 5149[0:SpR:5136.1,708.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),tc_fun(u,tc_bool)),w),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u))**.
% 299.97/300.58 5150[0:SpR:5136.1,706.0] class_Orderings_Oorder(u) || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,u,tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)))**.
% 299.97/300.58 5151[0:SpR:5136.1,709.0] class_Orderings_Oorder(u) || -> equal(c_Product__Type_OSigma(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,u,x),c_COMBK(c_False,tc_bool,tc_prod(u,x)))**.
% 299.97/300.58 5156[0:SpR:5136.1,3649.0] class_Orderings_Oorder(u) || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,u,tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,x))**.
% 299.97/300.58 5171[0:SpR:5136.1,1539.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_False))*.
% 299.97/300.58 5177[0:SpL:5136.1,4389.0] class_Orderings_Oorder(u) || equal(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),c_COMBK(c_False,tc_bool,w))* -> .
% 299.97/300.58 5192[0:SpL:5136.1,4389.0] class_Orderings_Oorder(u) || equal(hAPP(c_lessequals(tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u))* -> .
% 299.97/300.58 5280[0:SpR:5266.1,708.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),tc_fun(u,tc_bool)),w),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u))**.
% 299.97/300.58 5281[0:SpR:5266.1,706.0] class_Orderings_Oorder(u) || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,u,tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)))**.
% 299.97/300.58 5282[0:SpR:5266.1,709.0] class_Orderings_Oorder(u) || -> equal(c_Product__Type_OSigma(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,u,x),c_COMBK(c_False,tc_bool,tc_prod(u,x)))**.
% 299.97/300.58 5287[0:SpR:5266.1,3649.0] class_Orderings_Oorder(u) || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,u,tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,x))**.
% 299.97/300.58 5304[0:SpR:5266.1,1539.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_False))*.
% 299.97/300.58 5309[0:SpL:5266.1,4389.0] class_Orderings_Oorder(u) || equal(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),c_COMBK(c_False,tc_bool,w))* -> .
% 299.97/300.58 5324[0:SpL:5266.1,4389.0] class_Orderings_Oorder(u) || equal(hAPP(c_lessequals(tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u))* -> .
% 299.97/300.58 5855[0:Res:5848.1,4686.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_lessequals(u),x)),c_False))*.
% 299.97/300.58 5989[0:SpL:2659.0,325.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v))* -> hBOOL(c_in(w,v,u))*.
% 299.97/300.58 6884[0:SpR:712.1,6062.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,u),hAPP(c_Set_Oinsert(w,u),c_SetInterval_Oord__class_OatLeastAtMost(x,x,u))),x))*.
% 299.97/300.58 7051[0:SpR:5371.2,3.1] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Orderings_Otop__class_Otop(u)),v)**.
% 299.97/300.58 7226[0:SpR:5527.2,11.1] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Orderings_Obot__class_Obot(u)),v)**.
% 299.97/300.58 8389[0:Res:6015.0,1152.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.58 8559[0:SpL:2678.0,8307.0] || equal(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),w),w) -> c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),w),v)*.
% 299.97/300.58 8875[0:SpR:8828.0,4377.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool),w,y),v),c_False))*.
% 299.97/300.58 9094[0:SpR:9002.0,4377.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool),w,y),v),c_False))*.
% 299.97/300.58 9512[0:SpR:9428.0,4377.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool),w,y),v),c_False))*.
% 299.97/300.58 9796[0:SpR:9728.0,4377.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool),w,y),v),c_False))*.
% 299.97/300.58 10602[0:Res:2650.0,528.0] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(u)),v),w,u) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(v,tc_Hoare__Mirabelle_Otriple(u)),x),w,u)*.
% 299.97/300.58 12273[0:Obv:12201.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),u),v)),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.58 12348[0:SpR:12280.1,35.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Orderings_Obot__class_Obot(u),v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))**.
% 299.97/300.58 12350[0:SpR:12280.1,1430.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),v))*.
% 299.97/300.58 12547[0:Obv:12491.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),u),v)),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.58 12555[0:SSi:12509.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(u,tc_fun(v,tc_bool)),w)),v)*.
% 299.97/300.58 13043[0:Res:5772.1,77.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),v))* equal(c_Orderings_Obot__class_Obot(u),v).
% 299.97/300.58 13055[0:Res:5848.1,77.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)))* equal(v,c_Orderings_Otop__class_Otop(u)).
% 299.97/300.58 13189[0:SpR:12821.1,1430.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),v))*.
% 299.97/300.58 13293[0:Res:5772.1,69.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),v))* equal(v,c_Orderings_Obot__class_Obot(u)).
% 299.97/300.58 13305[0:Res:5848.1,69.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)))* equal(c_Orderings_Otop__class_Otop(u),v).
% 299.97/300.58 13342[0:SSi:13324.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),v))* equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)).
% 299.97/300.58 13343[0:SSi:13323.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v))* equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)).
% 299.97/300.58 13344[0:SSi:13322.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),v))* equal(v,c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)).
% 299.97/300.58 13345[0:SSi:13321.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v))* equal(v,c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)).
% 299.97/300.58 13503[0:Res:1425.1,12715.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_False)**.
% 299.97/300.58 13504[0:Res:1426.1,12715.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_False)**.
% 299.97/300.58 13506[0:Res:1410.0,12715.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_False,tc_fun(u,tc_bool)),v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_False)**.
% 299.97/300.58 13615[0:Res:13613.0,768.0] || -> equal(hAPP(c_Set_Oimage(c_COMBK(u,v,w),w,v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),hAPP(c_fequal(v),u))**.
% 299.97/300.58 13708[0:SpR:13374.1,708.0] || -> equal(u,c_False) equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))**.
% 299.97/300.58 13709[0:SpR:13374.1,706.0] || -> equal(u,c_False) equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,tc_bool,tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))**.
% 299.97/300.58 13710[0:SpR:13374.1,709.0] || -> equal(u,c_False) equal(c_Product__Type_OSigma(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,tc_bool,w),c_COMBK(c_False,tc_bool,tc_prod(tc_bool,w)))**.
% 299.97/300.58 13715[0:SpR:13374.1,3649.0] || -> equal(u,c_False) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,tc_bool,tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w))**.
% 299.97/300.58 13740[0:SpR:13374.1,1539.0] || -> equal(u,c_False) hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_False))*.
% 299.97/300.58 13748[0:SpL:13374.1,4389.0] || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),c_COMBK(c_False,tc_bool,v))* -> equal(u,c_False).
% 299.97/300.58 13887[0:Res:1055.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,v),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_fequal(x),v),u,x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.58 13907[0:Res:4245.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,c_False),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_lessequals(tc_bool),c_False),u,w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.58 13914[0:Res:4246.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,c_False),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),u,x,tc_fun(v,tc_bool)),v)*.
% 299.97/300.58 14424[0:SpR:12562.1,35.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Orderings_Otop__class_Otop(u),v,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))**.
% 299.97/300.58 14598[0:SpR:14531.0,361.1] || hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_False,tc_bool),w,x),v),x))*.
% 299.97/300.58 14843[0:SpR:14632.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),w,x),v),x))*.
% 299.97/300.58 14942[0:SpR:14872.0,361.1] || hBOOL(c_in(c_False,u,v)) -> hBOOL(c_in(w,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(w,tc_bool),v,x),u),x))*.
% 299.97/300.58 15487[0:Rew:12263.0,15471.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),hAPP(c_fequal(tc_bool),c_False))),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u))**.
% 299.97/300.58 15510[0:Res:222.3,13373.0] class_Orderings_Olinorder(tc_bool) || hBOOL(c_in(c_False,u,tc_bool))* c_Finite__Set_Ofinite(u,tc_bool) -> equal(c_Finite__Set_Olinorder__class_OMin(u,tc_bool),c_False).
% 299.97/300.58 16362[0:MRR:16359.2,11215.0] class_Orderings_Olinorder(tc_bool) || c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),tc_bool) -> equal(c_Finite__Set_Olinorder__class_OMin(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),tc_bool),c_False)**.
% 299.97/300.58 16363[0:MRR:16358.2,11215.0] class_Orderings_Olinorder(tc_bool) || c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),tc_bool) -> equal(c_Finite__Set_Olinorder__class_OMax(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),tc_bool),c_False)**.
% 299.97/300.58 16652[0:SpR:8815.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),hAPP(c_fequal(tc_bool),u),w,x),c_Set_Oinsert(u,tc_bool))**.
% 299.97/300.58 17011[0:SpR:8988.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),hAPP(c_fequal(tc_bool),u),w,x),c_Set_Oinsert(u,tc_bool))**.
% 299.97/300.58 17966[0:SpR:9636.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),hAPP(c_fequal(tc_bool),u),w,x),c_Set_Oinsert(u,tc_bool))**.
% 299.97/300.58 18319[0:SpR:9869.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),hAPP(c_fequal(tc_bool),u),w,x),c_Set_Oinsert(u,tc_bool))**.
% 299.97/300.58 18479[0:SSi:18453.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 18692[0:SSi:18667.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 19293[0:SpR:13524.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.58 19317[0:SSi:19316.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)))),c_False)**.
% 299.97/300.58 19324[0:SpR:13633.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.58 19337[0:SSi:19336.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))))),c_False)**.
% 299.97/300.58 19652[0:SpR:19460.0,4377.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(w,tc_bool),v,x),u),c_False))*.
% 299.97/300.58 19697[0:SpR:15401.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.58 19724[0:SSi:19723.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)))),c_False)**.
% 299.97/300.58 19844[0:SpR:12684.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u),v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.58 19854[0:SpR:12684.0,13516.1] || equal(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u),c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)))** -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u),c_False).
% 299.97/300.58 19911[0:SpR:12724.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(c_False,tc_bool),v)),c_False,w,x),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.58 19928[0:SpR:613.0,12724.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Set_Oinsert(c_False,tc_bool),w)))),c_False)**.
% 299.97/300.58 20101[0:SpL:678.0,20047.0] || hBOOL(c_COMBK(c_False,tc_bool,u)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_fun(u,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20116[0:SpL:278.1,20047.0] class_Lattices_Obounded__lattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20128[0:SpL:186.1,20047.0] class_Lattices_Obounded__lattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20184[0:Res:1506.1,20047.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(w,v),u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20223[0:Res:5143.1,20047.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20224[0:Res:5274.1,20047.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20225[0:Res:1537.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20268[0:MRR:20122.1,927.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20269[0:MRR:20121.1,927.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20590[0:SpR:20287.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 20602[0:SSi:20601.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20609[0:SpR:13523.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.58 20626[0:SSi:20625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v)))),c_False)**.
% 299.97/300.58 20633[0:SpL:13625.0,4436.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))** -> equal(u,c_False).
% 299.97/300.58 20992[0:SpR:15486.1,35.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 21004[0:SpR:15486.1,12263.0] || equal(hAPP(c_Set_Oinsert(c_False,tc_bool),u),c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)))** -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.58 21005[0:SpR:15486.1,15551.0] || equal(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)))** -> equal(c_Orderings_Otop__class_Otop(tc_bool),u).
% 299.97/300.58 21307[0:SpR:17170.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.58 21334[0:SSi:21333.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)))),c_False)**.
% 299.97/300.58 21343[0:SpR:17217.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.58 21372[0:SSi:21371.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)))),c_False)**.
% 299.97/300.58 21381[0:SpR:20157.1,35.0] class_Orderings_Olinorder(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 21392[0:SSi:21391.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Orderings_Olinorder(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 21401[0:SpR:20158.1,35.0] class_Lattices_Olattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 21413[0:SSi:21412.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Lattices_Olattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 21478[0:SpR:20159.1,35.0] class_Lattices_Oupper__semilattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 21491[0:SSi:21490.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 21500[0:SpR:20160.1,35.0] class_Lattices_Olower__semilattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 21514[0:SSi:21513.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 21523[0:SpR:20161.1,35.0] class_Orderings_Oorder(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 21538[0:SSi:21537.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 21547[0:SpR:20162.1,35.0] class_Orderings_Opreorder(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 21563[0:SSi:21562.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Orderings_Opreorder(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 21963[0:Res:12623.0,352.0] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_bool),w,tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 22017[0:MRR:21817.0,927.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v,tc_fun(w,tc_bool)),x))*.
% 299.97/300.58 22018[0:MRR:21816.0,927.0] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w,tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 22035[0:SpR:20209.1,35.0] || -> equal(c_Orderings_Otop__class_Otop(tc_bool),u) equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 22050[0:SSi:22049.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_Orderings_Otop__class_Otop(tc_bool),u) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 22059[0:SpR:20246.1,35.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 22071[0:SSi:22070.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 22080[0:SpR:20247.1,35.0] class_Lattices_Olattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 22093[0:SSi:22092.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Lattices_Olattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 22102[0:SpR:20248.1,35.0] class_Lattices_Oupper__semilattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 22116[0:SSi:22115.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 22131[0:SpR:20249.1,35.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 22142[0:SSi:22141.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 22151[0:SpR:20250.1,35.0] class_Lattices_Olattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 22163[0:SSi:22162.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Lattices_Olattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 22172[0:SpR:20251.1,35.0] class_Lattices_Olower__semilattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 22185[0:SSi:22184.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 22192[0:SpL:20279.0,4436.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u,v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))** -> equal(u,c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.58 22221[0:SpR:20303.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool),w,x),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 22236[0:SSi:22235.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 22245[0:SpR:20330.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_bool),v)),c_Orderings_Otop__class_Otop(tc_bool),w,x),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 22259[0:SSi:22258.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_lessequals(tc_bool),w)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 22268[0:SpR:20345.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v)),c_Orderings_Otop__class_Otop(tc_bool),w,x),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 22282[0:SSi:22281.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 22662[0:SpL:8861.0,4436.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w,x),c_Complete__Lattice_OInf__class_OInf(tc_bool))** -> equal(v,c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.58 22706[0:SpL:9035.0,4436.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w,x),c_Complete__Lattice_OInf__class_OInf(tc_bool))** -> equal(v,c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.58 23105[0:Obv:23005.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(v,y))),y),y)**.
% 299.97/300.58 23161[0:SpL:12711.0,4436.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(c_False,tc_bool),u),v,w,x),c_Complete__Lattice_OInf__class_OInf(tc_bool))** -> equal(v,c_False).
% 299.97/300.58 23173[0:SpR:20163.1,35.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 23189[0:SSi:23188.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 23198[0:SpR:20167.1,35.0] class_Orderings_Obot(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 23215[0:SSi:23214.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Orderings_Obot(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 23224[0:SpR:20177.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Finite__Set_Ofold1Set(u,hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool)),v),c_Orderings_Otop__class_Otop(tc_bool),w,x),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 23236[0:SSi:23235.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),c_Finite__Set_Ofold1Set(v,hAPP(c_fequal(w),c_Orderings_Otop__class_Otop(tc_bool)),w))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 23318[0:SpR:20252.1,35.0] class_Lattices_Obounded__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 23334[0:SSi:23333.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 23343[0:SpR:20253.1,35.0] class_Lattices_Obounded__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 23360[0:SSi:23359.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 23368[0:SpL:20294.0,4436.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w,x),c_Complete__Lattice_OSup__class_OSup(tc_bool))** -> equal(v,c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.58 23377[0:SpL:20322.0,4436.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_bool),u),v,w,x),c_Complete__Lattice_OSup__class_OSup(tc_bool))** -> equal(v,c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.58 23505[0:SpL:20337.0,4436.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w,x),c_Complete__Lattice_OSup__class_OSup(tc_bool))** -> equal(v,c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.58 23752[0:SpL:9692.0,4436.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w,x),c_Complete__Lattice_OInf__class_OInf(tc_bool))** -> equal(v,c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.58 23815[0:SpL:9926.0,4436.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w,x),c_Complete__Lattice_OInf__class_OInf(tc_bool))** -> equal(v,c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.58 24182[0:SpL:8829.0,4436.0] || equal(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w,x,y),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))** -> equal(w,c_False).
% 299.97/300.58 24258[0:SSi:24222.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_fequal(u),v),w)),hAPP(hAPP(c_Set_Oinsert(v,u),x),w)))*.
% 299.97/300.58 24647[0:SpL:9003.0,4436.0] || equal(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w,x,y),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))** -> equal(w,c_False).
% 299.97/300.58 24809[0:Res:14946.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 25000[0:SpL:9514.0,4436.0] || equal(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w,x,y),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool))** -> equal(w,c_False).
% 299.97/300.58 25108[0:MRR:25025.1,935.0] class_Orderings_Olinorder(tc_bool) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,u,tc_bool)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,u,tc_bool)))**.
% 299.97/300.58 25148[0:SpL:9798.0,4436.0] || equal(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w,x,y),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool))** -> equal(w,c_False).
% 299.97/300.58 25256[0:Res:10592.1,1431.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),v) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(v)),u),x,v)*.
% 299.97/300.58 25286[0:SpR:13734.1,20201.0] || -> equal(u,c_False) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 25374[0:SpR:13734.1,20256.0] || -> equal(u,c_False) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 25441[0:SpL:5266.1,8837.0] class_Orderings_Oorder(u) || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u))* -> .
% 299.97/300.58 25442[0:SpL:5136.1,8837.0] class_Orderings_Oorder(u) || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u))* -> .
% 299.97/300.58 25475[0:SpL:5266.1,9011.0] class_Orderings_Oorder(u) || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u))* -> .
% 299.97/300.58 25476[0:SpL:5136.1,9011.0] class_Orderings_Oorder(u) || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u))* -> .
% 299.97/300.58 26855[0:SpR:3333.0,26483.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_fequal(t_a),v_x)),v_x),tc_bool),v)))*.
% 299.97/300.58 26871[0:SpR:3333.0,26483.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),v),v_x)))))*.
% 299.97/300.58 26886[0:SpR:405.0,26483.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Set_Oinsert(v_x,t_a),u),v,tc_bool),hAPP(c_Set_Oinsert(v_x,v),w))))*.
% 299.97/300.58 26912[0:SpR:613.0,26868.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Set_Oinsert(v_x,t_a),v)),v_x))))*.
% 299.97/300.58 27182[0:SpL:5266.1,9671.0] class_Orderings_Oorder(u) || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u))* -> .
% 299.97/300.58 27183[0:SpL:5136.1,9671.0] class_Orderings_Oorder(u) || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u))* -> .
% 299.97/300.58 27202[0:SpL:5266.1,9905.0] class_Orderings_Oorder(u) || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u))* -> .
% 299.97/300.58 27203[0:SpL:5136.1,9905.0] class_Orderings_Oorder(u) || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u))* -> .
% 299.97/300.58 27912[0:Res:1055.0,331.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_fequal(x),w,tc_fun(x,tc_bool)),x))*.
% 299.97/300.58 27931[0:Res:4245.0,331.1] || hBOOL(c_in(c_False,u,v)) -> hBOOL(c_in(c_False,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_lessequals(tc_bool),v,tc_fun(w,tc_bool)),w))*.
% 299.97/300.58 28081[0:Res:28064.0,352.0] || hBOOL(c_in(c_False,u,v)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_HOL_Oord__class_Oless(tc_bool),v,tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 28278[0:SSi:28250.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v))*.
% 299.97/300.58 28292[0:SpR:28266.1,35.0] || equal(c_False,u) -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,u,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u))**.
% 299.97/300.58 28740[0:SpR:28267.1,35.0] || equal(c_False,u) -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u,u,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v))**.
% 299.97/300.58 28828[0:SpR:28268.1,35.0] || equal(c_False,u) -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u,v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v))**.
% 299.97/300.58 28957[0:SpR:28269.1,35.0] || equal(c_False,u) -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))**.
% 299.97/300.58 29163[0:SpR:28270.1,13523.0] || equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool))),c_False)**.
% 299.97/300.58 29183[0:SpR:28270.1,691.0] || equal(c_False,u) -> equal(hAPP(c_Set_Oimage(v,tc_bool,w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,u,tc_bool)),c_COMBK(c_False,tc_bool,w))**.
% 299.97/300.58 29200[0:SpR:28270.1,10498.0] || equal(c_False,u) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),c_Orderings_Otop__class_Otop(tc_bool),w,x),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.58 29203[0:SpR:28270.1,899.0] || equal(c_False,u) -> equal(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w,c_False,x,y),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool))**.
% 299.97/300.58 29280[0:SpL:28270.1,4145.1] || equal(c_False,u) equal(v,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool))* -> .
% 299.97/300.58 29283[0:SpL:28270.1,696.0] || equal(c_False,u) c_Finite__Set_Ofold__graph(v,w,c_SetInterval_Oord__class_OgreaterThanAtMost(x,u,tc_bool),y,tc_bool,z)* -> equal(y,w).
% 299.97/300.58 29711[0:SpR:28271.1,13523.0] || equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool))),c_False)**.
% 299.97/300.58 29731[0:SpR:28271.1,691.0] || equal(c_False,u) -> equal(hAPP(c_Set_Oimage(v,tc_bool,w),c_SetInterval_Oord__class_OatLeastLessThan(x,u,tc_bool)),c_COMBK(c_False,tc_bool,w))**.
% 299.97/300.58 29748[0:SpR:28271.1,10498.0] || equal(c_False,u) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),c_Orderings_Otop__class_Otop(tc_bool),w,x),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.58 29752[0:SpR:28271.1,899.0] || equal(c_False,u) -> equal(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w,c_False,x,y),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool))**.
% 299.97/300.58 29829[0:SpL:28271.1,4145.1] || equal(c_False,u) equal(v,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) equal(v,c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool))* -> .
% 299.97/300.58 29832[0:SpL:28271.1,696.0] || equal(c_False,u) c_Finite__Set_Ofold__graph(v,w,c_SetInterval_Oord__class_OatLeastLessThan(x,u,tc_bool),y,tc_bool,z)* -> equal(y,w).
% 299.97/300.58 33061[0:SSi:33049.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* -> equal(u,c_False) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v)).
% 299.97/300.58 34529[0:Res:28211.1,1141.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(tc_bool),u)),c_False))*.
% 299.97/300.58 34562[0:SSi:34541.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v)) equal(v,u).
% 299.97/300.58 34563[0:SSi:34538.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(u,v))) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool)),v))*.
% 299.97/300.58 34570[0:SpL:28271.1,28273.1] || equal(c_False,u) equal(c_False,v) equal(c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,x,tc_bool))* -> .
% 299.97/300.58 34571[0:SpL:28270.1,28273.1] || equal(c_False,u) equal(c_False,v) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,x,tc_bool))* -> .
% 299.97/300.58 35218[0:SpR:28358.1,35.0] || equal(c_False,u) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v),u,w,x),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.58 35219[0:SpR:28358.1,248.0] || equal(c_False,u) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w))*.
% 299.97/300.58 35245[0:SpR:613.0,28358.1] || equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),w))),u)**.
% 299.97/300.58 35670[0:SSi:35658.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* -> equal(v,c_False) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v))*.
% 299.97/300.58 36513[0:SSi:36422.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),w),v_x))))*.
% 299.97/300.58 37335[0:SpR:256.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.58 37348[0:SpR:34.0,26165.1] || hBOOL(c_in(v_x,c_Fun_Ofun__upd(u,v_x,v,w,x),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),v))*.
% 299.97/300.58 38089[0:SSi:37898.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),v),v_x)),w)))*.
% 299.97/300.58 40761[0:SpR:12263.0,40007.2] || hBOOL(c_in(v_x,hAPP(c_Set_Oinsert(c_False,tc_bool),u),tc_bool))* hBOOL(v_x) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)).
% 299.97/300.58 40762[0:SpR:15551.0,40007.2] || hBOOL(c_in(v_x,hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),tc_bool))* hBOOL(v_x) -> hBOOL(u).
% 299.97/300.58 40818[0:Res:40007.2,20047.0] || hBOOL(c_in(v_x,c_Orderings_Otop__class_Otop(tc_bool),tc_bool))* hBOOL(v_x) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.58 42542[0:SpR:256.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.58 42555[0:SpR:34.0,26440.1] || hBOOL(c_in(v_x,c_Fun_Ofun__upd(u,v_x,v,w,x),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),y))*.
% 299.97/300.58 44693[0:SSi:44683.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(u,v),c_False) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool))**.
% 299.97/300.58 44694[0:SSi:44682.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(u,v),c_False) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool)),v),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool))**.
% 299.97/300.58 44850[0:SpL:424.0,44668.0] || equal(hAPP(u,hAPP(v,c_False)),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Fun_Ocomp(u,v,w,x,y),tc_bool),c_False)**.
% 299.97/300.58 44851[0:SpL:149.0,44668.0] || equal(hAPP(u,hAPP(v,c_False)),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_COMBB(u,v,w,x,y),tc_bool),c_False)**.
% 299.97/300.58 47837[2:SSi:47821.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v)).
% 299.97/300.58 47838[2:SSi:47819.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),c_False))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),u))*.
% 299.97/300.58 49069[2:Res:237.0,47875.1] || equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v)),c_False)** -> .
% 299.97/300.58 49070[2:Res:236.0,47875.1] || equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),c_False)** -> .
% 299.97/300.58 49078[2:Res:1561.1,47875.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),x),c_False)** -> .
% 299.97/300.58 49079[2:Res:1562.1,47875.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),x),c_False)** -> .
% 299.97/300.58 49081[2:Res:1546.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),u),c_False)** -> .
% 299.97/300.58 49092[2:Res:4836.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_Set_Oinsert(w,x),y)),c_False),c_False)** -> .
% 299.97/300.58 49102[2:Res:429.1,47875.1] || hBOOL(hAPP(u,v)) equal(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u),x),v),c_False)** -> .
% 299.97/300.58 49103[2:Res:428.1,47875.1] || hBOOL(hAPP(u,v)) equal(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),u),v),c_False)** -> .
% 299.97/300.58 49116[2:Res:2650.0,47875.1] || equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),hAPP(c_Set_Oinsert(v,u),w)),c_False)** -> .
% 299.97/300.58 49141[2:Res:4013.0,47875.1] || equal(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_lessequals(tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w))),c_False),c_False)** -> .
% 299.97/300.58 49181[2:Res:2648.1,47875.1] || hBOOL(hAPP(hAPP(c_fequal(u),v),w)) equal(hAPP(hAPP(c_Set_Oinsert(v,u),x),w),c_False)** -> .
% 299.97/300.58 49227[2:Res:1401.0,47875.1] || equal(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w),c_False)** -> .
% 299.97/300.58 49228[2:Res:1418.0,47875.1] || equal(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w),c_False)** -> .
% 299.97/300.58 49229[2:Res:1927.0,47875.1] || equal(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w),c_False)** -> .
% 299.97/300.58 49231[2:Res:1424.0,47875.1] || equal(c_in(c_False,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w),c_False)** -> .
% 299.97/300.58 49238[2:Res:1403.0,47875.1] || equal(c_in(u,hAPP(c_Set_Oimage(c_COMBK(u,v,w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y),c_False)** -> .
% 299.97/300.58 49248[2:Res:5144.1,47875.1] class_Orderings_Oorder(u) || equal(c_in(c_False,hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),w),c_False)** -> .
% 299.97/300.58 49249[2:Res:5275.1,47875.1] class_Orderings_Oorder(u) || equal(c_in(c_False,hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),w),c_False)** -> .
% 299.97/300.58 49259[2:Res:6015.0,47875.1] || equal(c_in(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Set_Oinsert(u,v),x)),v),c_False)** -> .
% 299.97/300.58 49337[0:MRR:49312.1,935.0] class_OrderedGroup_Opordered__ab__group__add(tc_bool) || equal(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_bool),w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),w),v))*.
% 299.97/300.58 49338[0:MRR:49316.1,49337.2] class_OrderedGroup_Opordered__ab__group__add(tc_bool) || equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_bool),v),c_False)** -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),w),c_False))*.
% 299.97/300.58 49461[2:SpL:405.0,49222.0] || equal(c_in(hAPP(u,v),hAPP(c_Set_Oimage(u,w,x),hAPP(c_Set_Oinsert(v,w),y)),x),c_False)** -> .
% 299.97/300.58 50389[2:SpR:47834.1,20170.0] || hBOOL(u) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 50391[2:SpR:47834.1,20255.0] || hBOOL(u) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 50396[2:SpR:47834.1,708.0] || hBOOL(u) -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))**.
% 299.97/300.58 50397[2:SpR:47834.1,706.0] || hBOOL(u) -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,tc_bool,tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))**.
% 299.97/300.58 50398[2:SpR:47834.1,709.0] || hBOOL(u) -> equal(c_Product__Type_OSigma(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,tc_bool,w),c_COMBK(c_False,tc_bool,tc_prod(tc_bool,w)))**.
% 299.97/300.58 50403[2:SpR:47834.1,3649.0] || hBOOL(u) -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,tc_bool,tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w))**.
% 299.97/300.58 50433[2:SpR:47834.1,1539.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_False))*.
% 299.97/300.58 50463[2:SpL:47834.1,4389.0] || hBOOL(u) equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),c_COMBK(c_False,tc_bool,v))* -> .
% 299.97/300.58 58402[0:SSi:58349.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u))),u)**.
% 299.97/300.58 58416[0:SSi:58415.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),w)),u)**.
% 299.97/300.58 58431[0:SpR:58351.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w,x),v),u))*.
% 299.97/300.58 58540[0:Obv:58533.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(v,y))),y),y)**.
% 299.97/300.58 58787[0:SSi:58743.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))),v),v)**.
% 299.97/300.58 58813[0:SSi:58812.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w)),u),u)**.
% 299.97/300.58 59134[0:SpR:54070.0,54074.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u))**.
% 299.97/300.58 59173[0:SSi:59112.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))),w),w)**.
% 299.97/300.58 59201[0:SSi:59200.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w)),v),v)**.
% 299.97/300.58 59433[0:SSi:59376.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w))),w),w)**.
% 299.97/300.58 59453[0:SSi:59452.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w)),v),v)**.
% 299.97/300.58 59634[0:SpR:54440.0,54075.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u))**.
% 299.97/300.58 59640[0:SpR:54440.0,54070.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))**.
% 299.97/300.58 59686[0:SpR:54070.0,54440.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))**.
% 299.97/300.58 59718[0:SSi:59663.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u))),u)**.
% 299.97/300.58 59727[0:SSi:59726.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),w)),u)**.
% 299.97/300.58 59785[0:SpR:54831.0,54071.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))**.
% 299.97/300.58 59837[0:SpR:54071.0,54831.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))**.
% 299.97/300.58 59887[0:SSi:59848.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w))),v),v)**.
% 299.97/300.58 59912[0:SSi:59911.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w)),u),u)**.
% 299.97/300.58 60065[0:SpR:54836.0,54070.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))**.
% 299.97/300.58 60099[0:SpR:54831.0,54836.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))**.
% 299.97/300.58 60143[0:SSi:60110.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w))),u)**.
% 299.97/300.58 60152[0:SSi:60151.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w)),u)**.
% 299.97/300.58 60349[0:SSi:60316.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w))),u)**.
% 299.97/300.58 60358[0:SSi:60357.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w)),u)**.
% 299.97/300.58 61137[2:SpL:29744.1,49111.0] || equal(c_False,u) equal(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool)),w),c_False)** -> .
% 299.97/300.58 61143[2:SpL:29194.1,49111.0] || equal(c_False,u) equal(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool)),w),c_False)** -> .
% 299.97/300.58 61294[0:SpR:49966.1,4252.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v))*.
% 299.97/300.58 61297[0:SpR:49966.1,684.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v),v)**.
% 299.97/300.58 61299[0:SpR:49966.1,44893.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),tc_bool),c_False)**.
% 299.97/300.58 61302[0:SpR:49966.1,685.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v)**.
% 299.97/300.58 61316[0:SpR:49966.1,699.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(c_Set_Oinsert(v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),hAPP(c_fequal(tc_bool),v))**.
% 299.97/300.58 61325[0:SpR:49966.1,3176.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_False,v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 61337[0:SpR:49966.1,28270.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_False,v) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*.
% 299.97/300.58 61338[0:SpR:49966.1,28271.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_False,v) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(w,v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*.
% 299.97/300.58 61384[0:SpL:49966.1,687.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)))* -> .
% 299.97/300.58 61401[2:SpL:49966.1,47835.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(v) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.58 61402[0:SpL:49966.1,13375.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> equal(v,c_False).
% 299.97/300.58 61403[2:SpL:49966.1,47836.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(v) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,v,tc_bool))* -> .
% 299.97/300.58 61404[0:SpL:49966.1,13376.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,v,tc_bool))* -> equal(v,c_False).
% 299.97/300.58 61408[0:SpL:49966.1,4380.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(v) equal(c_COMBK(v,w,x),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.58 62241[0:Rew:62049.0,44695.1] || equal(hAPP(u,v),c_False) equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool),v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.58 62245[0:Rew:62049.0,46248.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,u,tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),u)**.
% 299.97/300.58 62247[0:Rew:62049.0,46249.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),u)**.
% 299.97/300.58 63863[0:SpR:613.0,59016.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),w)))))*.
% 299.97/300.58 63967[0:SSi:63957.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))))*.
% 299.97/300.58 63968[0:SSi:63956.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)))))*.
% 299.97/300.58 64955[0:SpR:613.0,59997.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),w)))),v))*.
% 299.97/300.58 65079[0:SSi:65050.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)))),v))*.
% 299.97/300.58 65080[0:SSi:65049.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)))),u))*.
% 299.97/300.58 69160[2:SpL:613.0,49184.0] || equal(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),hAPP(c_Set_Oinsert(x,v),y))),x),c_False)** -> .
% 299.97/300.58 69312[0:SpL:58437.0,4436.0] || equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),u,v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))** -> equal(v,u).
% 299.97/300.58 69328[2:SpL:3333.0,49152.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_fequal(t_a),v_x)),v_x)),c_False)** -> .
% 299.97/300.58 69403[2:SpL:3333.0,49156.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_fequal(t_a),v_x)),v_x)),v),c_False)** -> .
% 299.97/300.58 69461[2:SpL:50423.1,49258.0] || hBOOL(u) equal(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v),c_False)** -> .
% 299.97/300.58 69462[2:SpL:13734.1,49258.0] || equal(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v),c_False)** -> equal(u,c_False).
% 299.97/300.58 70122[2:SpL:50422.1,62244.1] || hBOOL(u) equal(v,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,v,tc_bool))* -> .
% 299.97/300.58 70123[0:SpL:13733.1,62244.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,u,tc_bool))* -> equal(v,c_False).
% 299.97/300.58 70338[2:SpL:50422.1,62246.1] || hBOOL(u) equal(v,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.58 70339[0:SpL:13733.1,62246.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool))* -> equal(v,c_False).
% 299.97/300.58 73344[0:SSi:73343.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,u,tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),u)**.
% 299.97/300.58 73346[0:SSi:73345.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),u)**.
% 299.97/300.58 73601[0:SSi:73600.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,u,tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),v)**.
% 299.97/300.58 73603[0:SSi:73602.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),v)**.
% 299.97/300.58 73932[0:SpL:613.0,73752.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Set_Oinsert(v_x,t_a),v)),v_x)),c_False))* -> .
% 299.97/300.58 74061[0:SpL:712.1,73677.0] class_Orderings_Oorder(t_a) || equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.58 74070[0:SpL:712.1,73679.0] class_Orderings_Oorder(t_a) || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.58 74655[2:SpL:3333.0,73732.0] || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_fequal(t_a),v_x)),v_x)),c_False)** -> .
% 299.97/300.58 74725[0:SpR:3333.0,73754.0] || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_fequal(t_a),v_x)),v_x),c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.58 74784[0:SpR:256.0,73586.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.58 74797[0:SpR:34.0,73586.1] || hBOOL(c_in(v_x,c_Fun_Ofun__upd(u,v_x,v,w,x),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v)).
% 299.97/300.58 74917[0:SSi:74916.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(v_x,u,t_a)) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,hAPP(u,v_x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.58 74919[0:SSi:74918.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(v_x,u,t_a)) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,hAPP(u,v_x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.58 75598[0:SSi:75597.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,u,tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),v)**.
% 299.97/300.58 75600[0:SSi:75599.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),v)**.
% 299.97/300.58 77064[0:SpR:3333.0,58783.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_fequal(tc_bool),u)))),u)**.
% 299.97/300.58 77230[0:SSi:77229.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> equal(u,v).
% 299.97/300.58 77232[0:SSi:77231.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> equal(u,v).
% 299.97/300.58 77326[0:SpR:3333.0,59886.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_fequal(tc_bool),u)))),u)**.
% 299.97/300.58 79469[0:SpL:34.0,78858.0] || equal(u,c_False) equal(c_False,v) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Fun_Ofun__upd(w,v,u,x,y),tc_bool),v)**.
% 299.97/300.58 79925[0:Obv:79773.0] || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),c_False)** -> equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.58 80453[0:Rew:80024.1,80325.1] || equal(hAPP(c_Set_Oinsert(c_False,u),v),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(c_False,u),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.58 81478[0:SpR:256.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u)),u)))*.
% 299.97/300.58 81493[0:SpR:34.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),c_Fun_Ofun__upd(x,y,u,z,x1)),y)))*.
% 299.97/300.58 81707[0:SpR:20243.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False))))*.
% 299.97/300.58 81708[0:SpR:20206.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(tc_bool),w))))*.
% 299.97/300.58 81709[0:SpR:20242.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w))))*.
% 299.97/300.58 81749[0:SpR:20154.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))*.
% 299.97/300.58 81779[0:SpR:8858.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool))))*.
% 299.97/300.58 81780[0:SpR:9690.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool))))*.
% 299.97/300.58 81783[0:SpR:9032.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool))))*.
% 299.97/300.58 81784[0:SpR:9924.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool))))*.
% 299.97/300.58 81874[0:SSi:81873.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(u,v)),hAPP(hAPP(c_Set_Oinsert(w,x),u),v)),hAPP(u,v))**.
% 299.97/300.58 81876[0:SSi:81875.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(u,v),hAPP(hAPP(c_Set_Oinsert(w,x),u),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.58 82035[0:SSi:82034.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(u,tc_bool)),c_False),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.58 82110[0:Res:82101.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,c_False),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u,w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.58 83026[2:SpL:3333.0,49246.0] || equal(c_in(u,hAPP(c_Set_Oinsert(v,w),hAPP(c_Set_Oinsert(x,w),hAPP(c_fequal(w),u))),w),c_False)** -> .
% 299.97/300.58 83053[0:SpR:256.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,x),hAPP(c_Set_Oinsert(v,w),y)),v))*.
% 299.97/300.58 83068[0:SpR:34.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(u,v,w,x,y),z,x1),hAPP(c_Set_Oinsert(v,z),x2)),w))*.
% 299.97/300.58 83127[0:SpR:12637.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 83128[0:SpR:12625.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v),hAPP(c_Set_Oinsert(w,u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 83282[0:SpR:20243.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u),w)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 83283[0:SpR:20206.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_bool),w),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 83284[0:SpR:20242.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 83324[0:SpR:20154.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 83354[0:SpR:8858.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 83355[0:SpR:9690.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 83358[0:SpR:9032.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 83359[0:SpR:9924.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 83361[0:SpR:12544.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(c_False,tc_bool),w),u),x)),c_False))*.
% 299.97/300.58 83374[0:SpR:13619.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u),w)),c_False))*.
% 299.97/300.58 83421[0:SpR:3333.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),hAPP(c_fequal(v),y))),hAPP(u,y)))*.
% 299.97/300.58 83514[0:SpR:3333.0,83096.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),hAPP(c_fequal(v),u))),c_False))*.
% 299.97/300.58 83678[0:SpR:3333.0,83409.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),hAPP(c_fequal(v),c_False))),u))*.
% 299.97/300.58 86869[0:SpL:712.1,86811.0] class_Orderings_Oorder(u) || hBOOL(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))* hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_fequal(u)))*.
% 299.97/300.58 86911[0:SpL:678.0,86811.0] || hBOOL(c_COMBK(c_False,tc_bool,u)) hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool))))*.
% 299.97/300.58 86919[0:SpL:19.1,86811.0] class_Lattices_Obounded__lattice(u) || hBOOL(v) hBOOL(c_Orderings_Otop__class_Otop(u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)))*.
% 299.97/300.58 86925[0:SpL:443.1,86811.0] class_Orderings_Otop(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) hBOOL(v_x) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(t_a,u))))*.
% 299.97/300.58 86926[0:SpL:540.1,86811.0] class_Orderings_Obot(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) hBOOL(v_x) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Orderings_Obot__class_Obot(tc_fun(t_a,u))))*.
% 299.97/300.58 86934[0:SpL:367.1,86811.0] class_Lattices_Obounded__lattice(u) || hBOOL(v) hBOOL(c_Orderings_Obot__class_Obot(u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)))*.
% 299.97/300.58 87020[0:SpL:710.1,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(hAPP(c_fequal(u),v))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OInf__class_OInf(u)))*.
% 299.97/300.58 87021[0:SpL:714.1,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(hAPP(c_fequal(u),v))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OSup__class_OSup(u)))*.
% 299.97/300.58 87260[0:Res:1313.2,86811.0] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)))*.
% 299.97/300.58 87261[0:Res:1293.2,86811.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)))*.
% 299.97/300.58 87262[0:Res:1273.2,86811.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)))*.
% 299.97/300.58 87273[0:Res:1506.1,86811.0] || hBOOL(c_in(u,v,w))* hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(x,w),v)))*.
% 299.97/300.58 87276[0:Res:1430.0,86811.0] || hBOOL(hAPP(u,v))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(u,w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))*.
% 299.97/300.58 87284[0:Res:14946.0,86811.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))))*.
% 299.97/300.58 87402[0:Res:3665.1,86811.0] class_Orderings_Oorder(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(w,u),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))))*.
% 299.97/300.58 87710[0:Obv:86973.2] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)))*.
% 299.97/300.58 87720[0:Obv:86936.2] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)))*.
% 299.97/300.58 87812[0:MRR:14967.2,87746.1] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),w))*.
% 299.97/300.58 87813[0:MRR:14966.2,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),w))*.
% 299.97/300.58 87815[0:MRR:14964.2,87746.1] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),w))*.
% 299.97/300.58 87816[0:MRR:14963.2,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),w))*.
% 299.97/300.58 88515[0:Res:1367.0,10584.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),v)*.
% 299.97/300.58 88621[0:MRR:88600.1,1061.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_fequal(u),hAPP(w,x))))* -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.58 88733[0:SpR:24543.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.58 88815[0:SpR:12624.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),v,w),hAPP(c_Set_Oinsert(u,v),x)),w))*.
% 299.97/300.58 88818[0:SpR:12550.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),x)),w))*.
% 299.97/300.58 88918[0:SpR:5198.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool),u),x)),v))*.
% 299.97/300.58 88919[0:SpR:8825.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool),u),x)),v))*.
% 299.97/300.58 88921[0:SpR:5331.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool),u),x)),v))*.
% 299.97/300.58 88922[0:SpR:8998.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool),u),x)),v))*.
% 299.97/300.58 88933[0:SpR:15481.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_fequal(tc_bool),c_False),u),w)),v))*.
% 299.97/300.58 88973[0:SpR:15484.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u),w)),v))*.
% 299.97/300.58 89026[0:SpR:12718.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_fequal(tc_bool),c_False),u),w)),v))*.
% 299.97/300.58 89027[0:SpR:13510.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_bool),c_False),u),w)),v))*.
% 299.97/300.58 89042[0:SpR:12731.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u),w)),v))*.
% 299.97/300.58 89049[0:SpR:13517.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),u),x)),v))*.
% 299.97/300.58 89050[0:SpR:82115.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u),w)),v))*.
% 299.97/300.58 89136[0:SpR:87864.1,35.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 89178[0:SSi:89177.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 89251[0:Res:87256.2,531.0] || hBOOL(hAPP(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_False))* hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(c_Complete__Lattice_OSup__class_OSup(tc_bool)))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_False)).
% 299.97/300.58 89313[0:MRR:89312.3,672.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))) -> .
% 299.97/300.58 89315[0:MRR:89314.1,935.0] class_Orderings_Olinorder(tc_bool) || hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_SetInterval_Oord__class_OatLeastAtMost(c_False,u,tc_bool))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,u,tc_bool)))*.
% 299.97/300.58 89321[0:Res:404.1,85358.0] || hBOOL(c_in(u,v,tc_bool))* hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(w,tc_bool),v)))* -> hBOOL(u).
% 299.97/300.58 89331[0:Res:248.0,85358.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(u,v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))))* -> hBOOL(hAPP(u,w))*.
% 299.97/300.58 89417[0:SpL:12684.0,89320.1] || hBOOL(hAPP(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u),v))* hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)) -> hBOOL(v).
% 299.97/300.58 89571[0:Rew:341.0,89545.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),tc_fun(u,tc_bool))),v)**.
% 299.97/300.58 90185[2:SpL:613.0,88486.1] || hBOOL(u) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,w),hAPP(c_Set_Oinsert(u,w),x))),c_False)** -> .
% 299.97/300.58 90599[0:SpR:90441.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),v,v,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v))**.
% 299.97/300.58 90601[0:SpR:90441.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),u)),u)))*.
% 299.97/300.58 90606[0:SpR:90441.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w,x),hAPP(c_Set_Oinsert(v,w),y)),v))*.
% 299.97/300.58 90611[0:SpR:90441.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.58 90612[0:SpR:90441.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.58 90613[0:SpR:90441.0,73586.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.58 91095[0:SpL:613.0,87685.0] || hBOOL(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oinsert(w,v))).
% 299.97/300.58 92365[0:SpR:256.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),v_x)),v_x)),c_False)**.
% 299.97/300.58 92380[0:SpR:34.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),c_Fun_Ofun__upd(w,v_x,u,x,y)),v_x)),c_False)**.
% 299.97/300.58 92419[0:SpR:12625.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),v_x)),c_False)**.
% 299.97/300.58 92456[0:SpR:90441.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),v_x)),v_x)),c_False)**.
% 299.97/300.58 92551[0:SpR:8828.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_fun(v,tc_bool)),w),x)),c_False))*.
% 299.97/300.58 92552[0:SpR:9428.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_fun(v,tc_bool)),w),x)),c_False))*.
% 299.97/300.58 92553[0:SpR:9002.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_fun(v,tc_bool)),w),x)),c_False))*.
% 299.97/300.58 92554[0:SpR:9728.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_fun(v,tc_bool)),w),x)),c_False))*.
% 299.97/300.58 92566[0:SpR:956.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),tc_fun(u,tc_bool)),v),w)),w))*.
% 299.97/300.58 92573[0:SpR:657.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_COMBK(u,v,w),tc_fun(x,tc_bool)),y),z)),u))*.
% 299.97/300.58 92581[0:SpR:19460.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(u,tc_bool),tc_fun(v,tc_bool)),w),c_Orderings_Otop__class_Otop(tc_bool))),c_False))*.
% 299.97/300.58 92600[0:SpR:988.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),tc_fun(v,tc_bool)),w),c_False)),u))*.
% 299.97/300.58 92674[0:SpR:58351.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),tc_fun(v,tc_bool)),w),u)),u))*.
% 299.97/300.58 92955[0:SSi:92932.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),tc_fun(v,tc_bool)),w),x)),x))*.
% 299.97/300.58 92956[0:SSi:92931.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),tc_fun(v,tc_bool)),w),x)),u))*.
% 299.97/300.58 93400[0:Obv:93371.0] || equal(c_False,u) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),u)),tc_bool),u)**.
% 299.97/300.58 93527[0:SSi:93448.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(c_False,hAPP(c_fequal(tc_bool),u),tc_bool))* hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_fequal(tc_bool),u))) -> hBOOL(u).
% 299.97/300.58 93528[0:SSi:93449.1,93449.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(c_False,c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),tc_bool))* hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))) -> hBOOL(u).
% 299.97/300.58 93976[0:SSi:93975.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.58 93978[0:SSi:93977.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.58 94075[0:SSi:94074.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.58 94077[0:SSi:94076.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.58 94266[0:SSi:94254.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),tc_fun(w,tc_bool)),x))* -> hBOOL(hAPP(v,x)).
% 299.97/300.58 94267[0:SSi:94209.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,v)),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.58 94604[0:Res:454.1,16791.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w)** equal(v,w) -> equal(w,v).
% 299.97/300.58 94630[0:SSi:94606.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),v)** equal(v,w) -> equal(w,v).
% 299.97/300.58 94659[0:SpL:61328.1,94573.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v)* -> equal(v,c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool))*.
% 299.97/300.58 94691[0:SpL:61329.1,94575.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v)* -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool))*.
% 299.97/300.58 94834[0:SSi:94833.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),hAPP(c_Set_Oinsert(x,u),v))),v)**.
% 299.97/300.58 95205[0:SpL:61330.1,94574.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v)* -> equal(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool))*.
% 299.97/300.58 95412[0:SpL:61331.1,94576.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v)* -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool))*.
% 299.97/300.58 96206[0:SSi:96167.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),tc_fun(w,tc_bool)),w))* -> hBOOL(c_in(u,c_False,w)).
% 299.97/300.58 96207[0:SSi:96166.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Fun_Oinj__on(u,c_False,v,w) -> c_Fun_Oinj__on(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),tc_fun(v,tc_bool)),v,w)*.
% 299.97/300.58 96915[0:SSi:96872.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),tc_fun(w,tc_bool)),w))* -> hBOOL(c_in(u,v,w)).
% 299.97/300.58 96916[0:SSi:96871.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Fun_Oinj__on(u,v,w,x) -> c_Fun_Oinj__on(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),tc_fun(w,tc_bool)),w,x)*.
% 299.97/300.58 97075[0:SSi:97033.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),tc_fun(w,tc_bool)),w))* -> hBOOL(c_in(u,v,w)).
% 299.97/300.58 97076[0:SSi:97032.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Fun_Oinj__on(u,v,w,x) -> c_Fun_Oinj__on(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),tc_fun(w,tc_bool)),w,x)*.
% 299.97/300.58 97600[0:SpR:14872.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_HOL_Ominus__class_Ominus(u,tc_bool)),w),c_False)))*.
% 299.97/300.58 97738[0:SpR:8036.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),x)),hAPP(w,x)))*.
% 299.97/300.58 97739[0:SpR:8037.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),x)),hAPP(v,x)))*.
% 299.97/300.58 98110[0:SpR:14872.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_HOL_Ominus__class_Ominus(u,tc_bool)),c_False)))*.
% 299.97/300.58 98318[2:Res:37476.1,53092.0] || hBOOL(c_in(v_x,c_Complete__Lattice_OSup__class_OSup(tc_bool),t_a)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v_x)),c_False)** -> .
% 299.97/300.58 98356[0:Res:26.1,5990.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),w))* -> hBOOL(c_in(v,w,u)).
% 299.97/300.58 98554[2:SpL:418.1,49213.0] || hBOOL(c_in(v_x,u,t_a)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(u,v_x))),c_False)** -> .
% 299.97/300.58 99800[0:SpL:613.0,99543.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Set_Oinsert(v_x,t_a),v)),v_x)))* -> .
% 299.97/300.58 99892[0:SSi:99891.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u))* equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool))* -> .
% 299.97/300.58 99893[0:SSi:99864.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v))* equal(v,u).
% 299.97/300.58 100535[0:SSi:100534.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 100536[0:SSi:100502.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),u))* equal(u,v).
% 299.97/300.58 100538[0:SSi:100537.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u))*.
% 299.97/300.58 100540[0:SSi:100539.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u))*.
% 299.97/300.58 100816[0:SpR:100666.1,35.0] || equal(c_False,u) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 100858[0:SSi:100857.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 101308[2:Res:26434.0,53092.0] || equal(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x))),c_False),c_False)** -> .
% 299.97/300.58 101406[0:SpR:101313.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),c_False,u,v),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.58 101448[0:SSi:101447.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)))),c_False)**.
% 299.97/300.58 101450[2:SpL:712.1,101327.0] class_Orderings_Oorder(t_a) || equal(c_in(c_False,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x)),u),c_False)** -> .
% 299.97/300.58 101455[0:SpL:712.1,101331.0] class_Orderings_Oorder(t_a) || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x)),c_COMBK(c_False,tc_bool,u))* -> .
% 299.97/300.58 101460[0:SpL:5266.1,101331.0] class_Orderings_Oorder(u) || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u))* -> .
% 299.97/300.58 101461[0:SpL:5136.1,101331.0] class_Orderings_Oorder(u) || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u))* -> .
% 299.97/300.58 101498[0:SpL:341.0,5905.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),v)** c_Finite__Set_Ofinite(v,u) -> c_Finite__Set_Ofinite(w,u).
% 299.97/300.58 101569[0:SpL:611.0,101545.0] || equal(hAPP(c_Set_Oinsert(u,v),w),hAPP(c_fequal(v),u)) -> c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),w),v)*.
% 299.97/300.58 101694[0:SpL:712.1,101661.0] class_Orderings_Oorder(t_a) || hBOOL(hAPP(u,hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)).
% 299.97/300.58 101714[0:SpL:34.0,101661.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Fun_Ofun__upd(v,hAPP(hAPP(c_fequal(t_a),v_x),v_x),u,w,x)))*.
% 299.97/300.58 101940[0:Res:6050.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(hAPP(hAPP(c_fequal(t_a),v_x),v_x),v),w))))*.
% 299.97/300.58 102106[0:SSi:102074.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),w)** c_Finite__Set_Ofinite(v,u) -> c_Finite__Set_Ofinite(w,u).
% 299.97/300.58 102177[0:SpR:712.1,101819.0] class_Orderings_Oorder(t_a) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x))))*.
% 299.97/300.58 102186[2:SpL:712.1,102128.0] class_Orderings_Oorder(t_a) || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(u),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x))),c_False)** -> .
% 299.97/300.58 102237[0:SpL:14632.0,13885.0] || c_Finite__Set_Ofinite(c_False,u) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_HOL_Ominus__class_Ominus(w,tc_bool),v,tc_fun(u,tc_bool)),u)*.
% 299.97/300.58 102513[0:SpL:8858.0,13885.0] || c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_bool),u) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(u,tc_bool)),u)*.
% 299.97/300.58 102569[0:SpL:14872.0,13885.0] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),c_HOL_Ominus__class_Ominus(u,tc_bool),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.58 102682[0:SpR:12624.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.58 102755[0:Res:36.1,24826.1] class_Lattices_Olattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v,u),v))*.
% 299.97/300.58 102756[0:Res:42.1,24826.1] class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v,u),v))*.
% 299.97/300.58 102763[0:Res:1313.2,24826.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.58 102764[0:Res:1293.2,24826.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.58 102765[0:Res:1273.2,24826.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.58 102792[0:Res:99518.1,24826.1] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u))* -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool),v))*.
% 299.97/300.58 102800[0:Res:100450.1,24826.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_bool),u))*.
% 299.97/300.58 102801[0:Res:28274.1,24826.1] class_Orderings_Olinorder(tc_bool) || equal(hAPP(u,v),c_False) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool),v,tc_bool),v))*.
% 299.97/300.58 102805[0:Res:87828.1,24826.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u),v,u),v))*.
% 299.97/300.58 102806[0:Res:87827.1,24826.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),v,u),v))*.
% 299.97/300.58 102807[0:Res:87839.1,24826.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),v,u),v))*.
% 299.97/300.58 102819[0:Res:37.1,24826.1] class_Lattices_Olattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),w,u),w))*.
% 299.97/300.58 102820[0:Res:41.1,24826.1] class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),w,u),w))*.
% 299.97/300.58 102844[0:Res:87846.1,24826.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),c_False,u),c_False))*.
% 299.97/300.58 102868[0:Obv:102828.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),w))*.
% 299.97/300.58 102899[0:Res:102864.1,4686.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),c_SetInterval_Oord__class_OatLeastAtMost(x,x,u)),c_False))*.
% 299.97/300.58 102924[0:Res:1310.2,25011.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.58 102925[0:Res:1294.2,25011.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.58 102926[0:Res:1276.2,25011.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.58 102941[0:Res:409.0,25011.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(c_Set_Oinsert(w,u),v),tc_fun(u,tc_bool)),v))*.
% 299.97/300.58 102942[0:Res:228.1,25011.1] class_Lattices_Olattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),u),v))*.
% 299.97/300.58 102943[0:Res:233.1,25011.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),u),v))*.
% 299.97/300.58 102944[0:Res:229.1,25011.1] class_Lattices_Olattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),u),v))*.
% 299.97/300.58 102945[0:Res:232.1,25011.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),u),v))*.
% 299.97/300.58 102965[0:Res:99518.1,25011.1] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u))* -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool),u))*.
% 299.97/300.58 102973[0:Res:100450.1,25011.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_bool),v))*.
% 299.97/300.58 103036[0:Res:81832.0,25011.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(u,tc_bool)),c_False),tc_bool),u))*.
% 299.97/300.58 103041[0:Obv:103001.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),v))*.
% 299.97/300.58 103134[0:SpL:8036.0,26331.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),w),v)* -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),x),w),v)*.
% 299.97/300.58 103135[0:SpL:8037.0,26331.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),w),v)* -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),x),v)*.
% 299.97/300.58 103139[0:SpL:410.0,26331.0] || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)),u)* -> c_Finite__Set_Ofinite(x,u).
% 299.97/300.58 103204[0:Res:102750.2,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u)))*.
% 299.97/300.58 103207[0:Res:102750.2,20047.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),c_Orderings_Otop__class_Otop(tc_bool),u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 103255[0:Res:102754.2,86811.0] class_Orderings_Obot(u) class_Orderings_Olinorder(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u)))*.
% 299.97/300.58 103258[0:Res:102754.2,20047.0] class_Orderings_Obot(u) class_Orderings_Olinorder(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),c_Orderings_Otop__class_Otop(tc_bool),u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 103374[0:Res:102935.2,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u)))*.
% 299.97/300.58 103377[0:Res:102935.2,20047.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(u),u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 103392[0:Res:102939.2,86811.0] class_Orderings_Otop(u) class_Orderings_Olinorder(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u)))*.
% 299.97/300.58 103395[0:Res:102939.2,20047.0] class_Orderings_Otop(u) class_Orderings_Olinorder(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(u),u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 103728[0:SpR:3333.0,103531.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(w,v),tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)),x)*.
% 299.97/300.58 103863[0:SSi:103862.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))*.
% 299.97/300.58 103865[0:SSi:103864.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))*.
% 299.97/300.58 103872[2:Res:35669.1,53092.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False)) equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)),c_False)** -> .
% 299.97/300.58 103874[0:Res:35669.1,20047.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 103897[0:SSi:103896.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)).
% 299.97/300.58 104659[0:Res:4249.1,21899.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_COMBK(u,v,w),c_Set_Oinsert(x,y),z,tc_fun(x1,tc_bool)),x))*.
% 299.97/300.58 104666[0:Res:86274.1,21899.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),c_Set_Oinsert(v,w),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.58 105067[0:MRR:105048.1,84930.0] || c_Fun_Oinj__on(c_COMBK(u,v,w),x,w,v)* -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(w,tc_bool)),y),w)*.
% 299.97/300.58 105153[0:Res:137.1,105077.0] || c_Fun_Oinj__on(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,tc_bool,tc_bool)* -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),w),tc_bool)*.
% 299.97/300.58 105203[0:Res:137.1,105078.0] || c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,tc_bool,tc_bool)* -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),w),tc_bool)*.
% 299.97/300.58 105337[0:Rew:22397.0,105296.0] || -> equal(hAPP(c_Set_Oinsert(c_False,tc_bool),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool),tc_bool,tc_bool),u)),hAPP(c_fequal(tc_bool),c_False))**.
% 299.97/300.58 105360[0:Rew:10964.0,105359.0] || -> equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oimage(c_COMBK(u,v,w),w,v),x)),hAPP(c_fequal(v),u))**.
% 299.97/300.58 105500[0:Res:137.1,105075.0] || c_Fun_Oinj__on(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,tc_bool,tc_bool)* -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),w),tc_bool)*.
% 299.97/300.58 105568[0:Res:137.1,105076.0] || c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,tc_bool,tc_bool)* -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),w),tc_bool)*.
% 299.97/300.58 106248[0:SpR:106169.0,13523.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(u,tc_bool)))),c_False)**.
% 299.97/300.58 106271[0:SpR:106169.0,691.0] || -> equal(hAPP(c_Set_Oimage(u,tc_fun(v,tc_bool),w),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_fun(v,tc_bool))),c_COMBK(c_False,tc_bool,w))**.
% 299.97/300.58 106282[0:SpR:106169.0,899.0] || -> equal(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),w,c_False,x,y),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)))**.
% 299.97/300.58 106284[0:SpR:106169.0,1403.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.58 106314[2:SpL:106169.0,49047.0] || equal(hAPP(hAPP(c_lessequals(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(u,tc_bool))),w),c_False)** -> .
% 299.97/300.58 106336[0:SpL:106169.0,4145.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_fun(v,tc_bool),tc_bool))) equal(u,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_fun(v,tc_bool)))* -> .
% 299.97/300.58 106351[0:SpL:106169.0,696.0] || c_Finite__Set_Ofold__graph(u,v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_fun(x,tc_bool)),y,tc_fun(x,tc_bool),z)* -> equal(y,v).
% 299.97/300.58 106371[0:MRR:106362.1,84930.0] || c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),w,tc_fun(v,tc_bool),tc_bool)* -> c_Finite__Set_Ofinite(w,tc_fun(v,tc_bool)).
% 299.97/300.58 106376[0:MRR:106375.1,2901.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> equal(hAPP(c_fequal(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_fun(u,tc_bool)))*.
% 299.97/300.58 106481[0:SpR:106281.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),w,x),hAPP(c_Set_Oinsert(y,w),z)),c_False))*.
% 299.97/300.58 106726[0:SpR:5228.0,665.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) c_Fun_Oinj__on(x,c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),y)*.
% 299.97/300.58 106796[0:SpL:5228.0,13617.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)))** -> c_Hoare__Mirabelle_Ohoare__derivs(v,u,w).
% 299.97/300.58 106931[0:SpR:106423.0,13523.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(u,tc_bool)))),c_False)**.
% 299.97/300.58 106954[0:SpR:106423.0,691.0] || -> equal(hAPP(c_Set_Oimage(u,tc_fun(v,tc_bool),w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_fun(v,tc_bool))),c_COMBK(c_False,tc_bool,w))**.
% 299.97/300.58 106968[0:SpR:106423.0,899.0] || -> equal(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),w,c_False,x,y),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)))**.
% 299.97/300.58 106970[0:SpR:106423.0,1403.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.58 106996[2:SpL:106423.0,49047.0] || equal(hAPP(hAPP(c_lessequals(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(u,tc_bool))),w),c_False)** -> .
% 299.97/300.58 107018[0:SpL:106423.0,4145.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_fun(v,tc_bool),tc_bool))) equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(v,tc_bool)))* -> .
% 299.97/300.58 107033[0:SpL:106423.0,696.0] || c_Finite__Set_Ofold__graph(u,v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(x,tc_bool)),y,tc_fun(x,tc_bool),z)* -> equal(y,v).
% 299.97/300.58 107055[0:MRR:107046.1,84930.0] || c_Fun_Oinj__on(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),w,tc_fun(v,tc_bool),tc_bool)* -> c_Finite__Set_Ofinite(w,tc_fun(v,tc_bool)).
% 299.97/300.58 107127[0:SpR:106967.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),w,x),hAPP(c_Set_Oinsert(y,w),z)),c_False))*.
% 299.97/300.58 107341[0:Res:87828.1,15236.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Obot(u) class_Orderings_Oorder(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.58 107393[0:Rew:5430.2,107355.3] class_Lattices_Oupper__semilattice(u) class_Orderings_Obot(u) class_Orderings_Oorder(u) || equal(v,c_Orderings_Obot__class_Obot(u))* -> equal(c_Orderings_Obot__class_Obot(u),v).
% 299.97/300.58 107642[0:Rew:5441.2,107621.3] class_Lattices_Oupper__semilattice(u) class_Orderings_Otop(u) class_Orderings_Oorder(u) || equal(c_Orderings_Otop__class_Otop(u),v)* -> equal(v,c_Orderings_Otop__class_Otop(u)).
% 299.97/300.58 107920[0:SpL:12562.1,17812.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> .
% 299.97/300.58 107922[0:SpL:19.1,17812.2] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> .
% 299.97/300.58 107925[0:SpL:186.1,17812.2] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> .
% 299.97/300.58 108009[0:Obv:107924.1] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> .
% 299.97/300.58 108010[0:Obv:107923.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> .
% 299.97/300.58 108011[0:Obv:107921.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> .
% 299.97/300.58 108079[0:SpL:12562.1,17813.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> .
% 299.97/300.58 108081[0:SpL:19.1,17813.2] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> .
% 299.97/300.58 108084[0:SpL:186.1,17813.2] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> .
% 299.97/300.58 108157[0:Obv:108083.1] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> .
% 299.97/300.58 108158[0:Obv:108082.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> .
% 299.97/300.58 108159[0:Obv:108080.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> .
% 299.97/300.58 108303[0:SSi:108284.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))),v))* -> .
% 299.97/300.58 108304[0:SSi:108283.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))),w))* -> .
% 299.97/300.58 108305[0:SSi:108262.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v)))* -> .
% 299.97/300.58 108425[0:SpL:12562.1,17814.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> .
% 299.97/300.58 108427[0:SpL:19.1,17814.2] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> .
% 299.97/300.58 108430[0:SpL:186.1,17814.2] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> .
% 299.97/300.58 108503[0:Obv:108429.1] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> .
% 299.97/300.58 108504[0:Obv:108428.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> .
% 299.97/300.58 108505[0:Obv:108426.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> .
% 299.97/300.58 108595[0:SSi:108580.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w))))* -> .
% 299.97/300.58 108596[0:SSi:108579.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u))))* -> .
% 299.97/300.58 108597[0:SSi:108554.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),u))))* -> .
% 299.97/300.58 109287[0:SpL:3333.0,108008.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),v)))),v))* -> .
% 299.97/300.58 109354[0:SpL:12280.1,18885.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> .
% 299.97/300.58 109356[0:SpL:367.1,18885.2] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> .
% 299.97/300.58 109362[0:SpL:278.1,18885.2] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> .
% 299.97/300.58 109464[0:Obv:109361.1] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> .
% 299.97/300.58 109465[0:Obv:109360.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> .
% 299.97/300.58 109466[0:Obv:109355.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> .
% 299.97/300.58 109486[0:SpL:3333.0,108272.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_fequal(tc_bool),u)))))* -> .
% 299.97/300.58 109603[0:SpL:12280.1,18886.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> .
% 299.97/300.58 109605[0:SpL:367.1,18886.2] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> .
% 299.97/300.58 109611[0:SpL:278.1,18886.2] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> .
% 299.97/300.58 109714[0:Obv:109610.1] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> .
% 299.97/300.58 109715[0:Obv:109609.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> .
% 299.97/300.58 109716[0:Obv:109604.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> .
% 299.97/300.58 109881[0:SpL:12280.1,18887.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> .
% 299.97/300.58 109883[0:SpL:367.1,18887.2] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> .
% 299.97/300.58 109889[0:SpL:278.1,18887.2] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> .
% 299.97/300.58 109991[0:Obv:109888.1] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> .
% 299.97/300.58 109992[0:Obv:109887.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> .
% 299.97/300.58 109993[0:Obv:109882.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> .
% 299.97/300.58 110091[0:SpR:79862.1,4008.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),c_False))*.
% 299.97/300.58 110168[0:SpL:79862.1,3100.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** equal(v,c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))* -> hBOOL(hAPP(v,w))*.
% 299.97/300.58 110527[0:SpL:106423.0,110374.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_False) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(u,tc_bool)),c_False)** -> .
% 299.97/300.58 110528[0:SpL:106169.0,110374.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_False) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(u,tc_bool)),c_False)** -> .
% 299.97/300.58 110947[0:SSi:110946.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_fequal(t_a),u),v_x),tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),v),v_x)),c_False)**.
% 299.97/300.58 111184[0:SpR:61329.1,111152.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.58 111235[0:SpR:61329.1,111153.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.58 111427[0:SSi:111402.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Obounded__lattice(u) || c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(u),v) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),tc_fun(v,tc_bool)),v)*.
% 299.97/300.58 111655[0:SSi:111614.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 111660[0:SSi:111630.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Obounded__lattice(u) || c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(u),v) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),tc_fun(v,tc_bool)),v)*.
% 299.97/300.58 111721[0:SpR:29743.1,111110.0] || equal(c_False,u) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),tc_fun(tc_bool,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.58 111722[0:SpR:29195.1,111110.0] || equal(c_False,u) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),tc_fun(tc_bool,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.58 112013[2:SpR:50422.1,111157.0] || hBOOL(u) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.58 112014[0:SpR:13733.1,111157.0] || -> equal(u,c_False) c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.58 112541[2:Res:101820.1,53092.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x))),c_False)** -> .
% 299.97/300.58 112551[2:Res:101821.1,53092.0] class_Orderings_Olinorder(u) || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x))),c_False)** -> .
% 299.97/300.58 112580[2:Res:101822.1,53092.0] class_Lattices_Olattice(u) || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x))),c_False)** -> .
% 299.97/300.58 112590[2:Res:101823.1,53092.0] class_Lattices_Oupper__semilattice(u) || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x))),c_False)** -> .
% 299.97/300.58 112600[2:Res:101824.1,53092.0] class_Lattices_Olower__semilattice(u) || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x))),c_False)** -> .
% 299.97/300.58 112610[2:Res:101825.1,53092.0] class_Orderings_Oorder(u) || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x))),c_False)** -> .
% 299.97/300.58 112635[2:Res:101826.1,53092.0] class_Orderings_Opreorder(u) || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x))),c_False)** -> .
% 299.97/300.58 112643[2:SpL:418.1,102170.0] || hBOOL(c_in(hAPP(hAPP(c_fequal(t_a),v_x),v_x),u,v))* equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u),c_False) -> .
% 299.97/300.58 115166[0:Res:253.1,5769.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_fequal(u),v),w))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)).
% 299.97/300.58 115497[2:Res:8823.0,53092.0] || equal(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool))),c_False),c_False)** -> .
% 299.97/300.58 115514[0:Res:253.1,5845.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_fequal(u),v),w))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v))*.
% 299.97/300.58 952[0:SpR:366.1,35.0] class_Lattices_Obounded__lattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v,v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)))**.
% 299.97/300.58 975[0:SpR:18.1,35.0] class_Lattices_Obounded__lattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v,v,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)))**.
% 299.97/300.58 1106[0:SpR:277.1,35.0] class_Lattices_Obounded__lattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Orderings_Otop__class_Otop(u),c_Orderings_Otop__class_Otop(u),w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))**.
% 299.97/300.58 1112[0:SpR:187.1,35.0] class_Lattices_Obounded__lattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Orderings_Obot__class_Obot(u),c_Orderings_Obot__class_Obot(u),w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))**.
% 299.97/300.58 1233[0:Rew:424.0,1232.1] || hBOOL(hAPP(u,hAPP(v,c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(c_Fun_Ocomp(u,v,w,x,y)))))* -> hBOOL(hAPP(u,hAPP(v,c_False))).
% 299.97/300.58 1234[0:Rew:424.0,1229.0] || hBOOL(hAPP(u,hAPP(v,c_False))) -> hBOOL(hAPP(u,hAPP(v,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_Fun_Ocomp(u,v,w,x,y)))))*.
% 299.97/300.58 1239[0:Rew:149.0,1238.1] || hBOOL(hAPP(u,hAPP(v,c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(c_COMBB(u,v,w,x,y)))))* -> hBOOL(hAPP(u,hAPP(v,c_False))).
% 299.97/300.58 1240[0:Rew:149.0,1235.0] || hBOOL(hAPP(u,hAPP(v,c_False))) -> hBOOL(hAPP(u,hAPP(v,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_COMBB(u,v,w,x,y)))))*.
% 299.97/300.58 1527[0:SpR:712.1,1430.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_fequal(u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_SetInterval_Oord__class_OatLeastAtMost(x,x,u)))*.
% 299.97/300.58 1531[0:SpR:366.1,1430.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),x))*.
% 299.97/300.58 1532[0:SpR:18.1,1430.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),x))*.
% 299.97/300.58 1538[0:SpR:678.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_COMBK(c_False,tc_bool,v)))*.
% 299.97/300.58 1544[0:SpR:443.1,1430.0] class_Orderings_Otop(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.58 1545[0:SpR:540.1,1430.0] class_Orderings_Obot(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.58 1552[0:SpR:277.1,1430.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.58 1558[0:SpR:187.1,1430.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.58 1574[0:Res:1436.0,599.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oinsert(v,tc_Hoare__Mirabelle_Otriple(w)),hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(w)),y)),w)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,y,w).
% 299.97/300.58 1575[0:Res:1436.0,597.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(v)),y))),y,v)*.
% 299.97/300.58 1587[0:SpR:1581.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_fequal(u),v),w,hAPP(hAPP(c_fequal(u),w),v),x,y),hAPP(c_fequal(u),v))**.
% 299.97/300.58 1607[0:Res:1506.1,531.0] || hBOOL(c_in(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(u,v),w)),w,v))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),w),c_False)).
% 299.97/300.58 1620[0:SpR:1009.2,35.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(u),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),v,w,x),c_Complete__Lattice_OInf__class_OInf(u))**.
% 299.97/300.58 1639[0:SpR:1010.2,35.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(u),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),v,w,x),c_Complete__Lattice_OSup__class_OSup(u))**.
% 299.97/300.58 2740[0:SpR:712.1,2707.1] class_Orderings_Oorder(tc_Hoare__Mirabelle_Otriple(u)) || hBOOL(c_in(v,w,tc_Hoare__Mirabelle_Otriple(u))) -> c_Hoare__Mirabelle_Ohoare__derivs(w,c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_Hoare__Mirabelle_Otriple(u)),u)*.
% 299.97/300.58 2749[0:SpR:712.1,2650.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),hAPP(c_Set_Oinsert(v,u),w)))*.
% 299.97/300.58 3997[0:SpL:278.1,1141.0] class_Lattices_Obounded__lattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u))),c_False))*.
% 299.97/300.58 4000[0:SpL:186.1,1141.0] class_Lattices_Obounded__lattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u))),c_False))*.
% 299.97/300.58 4025[0:Res:1537.0,1141.0] || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))),c_False))*.
% 299.97/300.58 4151[0:Res:4138.1,286.1] || equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))** hBOOL(c_in(x,w,v))* -> .
% 299.97/300.58 4152[0:Res:4138.1,408.0] || equal(hAPP(c_Set_Oinsert(u,v),w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))** -> hBOOL(c_in(x,w,v))* equal(x,u)*.
% 299.97/300.58 4307[0:SpR:956.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),w,x),v),x))*.
% 299.97/300.58 4311[0:SpR:657.0,361.1] || hBOOL(c_in(u,v,w))* -> hBOOL(c_in(x,hAPP(c_Set_Oimage(c_COMBK(x,y,z),w,x1),v),x1))*.
% 299.97/300.58 4329[0:SpR:988.0,361.1] || hBOOL(c_in(c_False,u,v)) -> hBOOL(c_in(w,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v,x),u),x))*.
% 299.97/300.58 4341[0:SpR:1088.0,361.1] || hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),v),x))*.
% 299.97/300.58 4342[0:SpR:1118.0,361.1] || hBOOL(c_in(c_False,u,v)) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v,x),u),x))*.
% 299.97/300.58 4343[0:SpR:1916.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w,x),v),x))*.
% 299.97/300.58 4706[0:Res:4138.1,4527.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),u),c_False))*.
% 299.97/300.58 4711[0:Res:4251.1,4527.0] class_Orderings_Obot(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_False))*.
% 299.97/300.58 4762[0:SpL:677.0,4686.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),c_HOL_Ominus__class_Ominus(u,tc_fun(x,tc_bool))),c_False))*.
% 299.97/300.58 4799[0:SpL:710.1,4686.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v)* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),c_Complete__Lattice_OInf__class_OInf(u)),c_False))*.
% 299.97/300.58 4800[0:SpL:714.1,4686.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v)* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),c_Complete__Lattice_OSup__class_OSup(u)),c_False))*.
% 299.97/300.58 5140[0:SSi:5134.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_COMBK(c_False,tc_bool,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)))* c_Hoare__Mirabelle_Ohoare__derivs(w,v,u).
% 299.97/300.58 5152[0:SpR:5136.1,1091.0] class_Orderings_Oorder(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),w),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u))**.
% 299.97/300.58 5153[0:SpR:5136.1,1119.0] class_Orderings_Oorder(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u))**.
% 299.97/300.58 5166[0:SpR:5136.1,4013.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,u))),c_False))*.
% 299.97/300.58 5172[0:SpR:5136.1,1403.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.58 5211[0:SpR:5198.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_False))*.
% 299.97/300.58 5270[0:SSi:5264.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))* c_Hoare__Mirabelle_Ohoare__derivs(v,u,w).
% 299.97/300.58 5283[0:SpR:5266.1,1091.0] class_Orderings_Oorder(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),w),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u))**.
% 299.97/300.58 5284[0:SpR:5266.1,1119.0] class_Orderings_Oorder(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u))**.
% 299.97/300.58 5298[0:SpR:5266.1,4013.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u))),c_False))*.
% 299.97/300.58 5305[0:SpR:5266.1,1403.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.58 5340[0:SpR:5331.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_False))*.
% 299.97/300.58 6019[0:Res:26.1,325.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),x))* -> hBOOL(c_in(v,x,u)).
% 299.97/300.58 6103[0:SpR:613.0,1374.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(v)),x)),hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),x),v)*.
% 299.97/300.58 6108[0:SpR:613.0,194.1] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),w),v) -> c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(x,v),w)),v)*.
% 299.97/300.58 6184[0:SpL:613.0,195.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x)),v)* -> c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),x),v).
% 299.97/300.58 6268[0:SSi:6267.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Orderings_Oorder(u) || -> equal(v,c_COMBK(c_False,tc_bool,u)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),u,tc_bool),c_False)**.
% 299.97/300.58 6269[0:SSi:6266.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Orderings_Oorder(u) || -> equal(v,c_COMBK(c_False,tc_bool,u)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),u,tc_bool),c_False)**.
% 299.97/300.58 6294[0:SpR:5360.2,3.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),v),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.58 6311[0:SpR:5360.2,2367.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.58 6432[0:SpR:5538.2,11.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),v),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.58 6452[0:SpR:5538.2,2281.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.58 6482[0:SSi:6481.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Orderings_Oorder(u) || -> equal(v,c_COMBK(c_False,tc_bool,u)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),u,tc_bool),c_False)**.
% 299.97/300.58 6483[0:SSi:6480.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Orderings_Oorder(u) || -> equal(v,c_COMBK(c_False,tc_bool,u)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),u,tc_bool),c_False)**.
% 299.97/300.58 6914[0:SpR:5266.1,5137.0] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 299.97/300.58 6915[0:SpR:5136.1,5137.0] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 299.97/300.58 6940[0:SpR:5266.1,5267.0] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 299.97/300.58 6941[0:SpR:5136.1,5267.0] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 299.97/300.58 7095[0:SpR:5398.0,757.0] || -> equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(v),u),tc_fun(v,tc_bool)),w)),hAPP(c_fequal(v),u))**.
% 299.97/300.58 7135[0:SSi:7134.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(u,c_COMBK(c_False,tc_bool,v)) -> equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.58 8411[0:SpR:613.0,8390.0] || -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),hAPP(c_Set_Oinsert(x,u),y))),x))*.
% 299.97/300.58 8742[0:Res:1310.2,738.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_Orderings_Obot__class_Obot(u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8743[0:Res:1294.2,738.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_Orderings_Obot__class_Obot(u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8744[0:Res:1276.2,738.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_Orderings_Obot__class_Obot(u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8754[0:Res:1313.2,738.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(c_Orderings_Otop__class_Otop(u),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8755[0:Res:1293.2,738.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(c_Orderings_Otop__class_Otop(u),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8756[0:Res:1273.2,738.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(c_Orderings_Otop__class_Otop(u),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8874[0:SpR:8828.0,361.1] || hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool),w,y),v),y))*.
% 299.97/300.58 8897[0:Res:1310.2,737.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_Orderings_Obot__class_Obot(u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8898[0:Res:1294.2,737.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_Orderings_Obot__class_Obot(u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8899[0:Res:1276.2,737.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_Orderings_Obot__class_Obot(u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8909[0:Res:1313.2,737.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_Orderings_Otop__class_Otop(u),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8910[0:Res:1293.2,737.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_Orderings_Otop__class_Otop(u),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8911[0:Res:1273.2,737.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_Orderings_Otop__class_Otop(u),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8955[0:SpR:8825.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_False))*.
% 299.97/300.58 9093[0:SpR:9002.0,361.1] || hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool),w,y),v),y))*.
% 299.97/300.58 9116[0:SpR:8998.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_False))*.
% 299.97/300.58 9138[0:Res:741.2,252.0] class_Orderings_Olinorder(u) || c_Finite__Set_Ofinite(v,u) -> equal(v,c_COMBK(c_False,tc_bool,u)) hBOOL(hAPP(v,c_Finite__Set_Olinorder__class_OMax(v,u)))*.
% 299.97/300.58 9380[0:Res:740.2,252.0] class_Orderings_Olinorder(u) || c_Finite__Set_Ofinite(v,u) -> equal(v,c_COMBK(c_False,tc_bool,u)) hBOOL(hAPP(v,c_Finite__Set_Olinorder__class_OMin(v,u)))*.
% 299.97/300.58 9511[0:SpR:9428.0,361.1] || hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool),w,y),v),y))*.
% 299.97/300.58 9795[0:SpR:9728.0,361.1] || hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool),w,y),v),y))*.
% 299.97/300.58 10931[0:Res:253.1,768.0] || hBOOL(hAPP(u,v))* -> equal(hAPP(c_Set_Oimage(c_COMBK(w,x,y),y,x),u),hAPP(c_fequal(x),w))**.
% 299.97/300.58 11020[0:Res:2707.1,778.0] || hBOOL(c_in(c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,v_Q,t_a),v_G,tc_Hoare__Mirabelle_Otriple(t_a)))* -> .
% 299.97/300.58 11737[0:SpR:8814.0,35.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),u,w,x),c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.58 11880[0:SpR:8987.0,35.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),u,w,x),c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.58 12099[0:SpR:9635.0,35.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),u,w,x),c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.58 12140[0:SpR:9868.0,35.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),u,w,x),c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.58 12349[0:SpR:12280.1,248.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.58 12595[0:SpR:12550.0,4377.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v,x),u),w))*.
% 299.97/300.58 12645[0:SpR:12624.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),w,x),v),u))*.
% 299.97/300.58 12677[0:SpL:12624.0,4686.0] || hBOOL(u)* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),c_False))*.
% 299.97/300.58 12737[0:SpR:12718.0,4377.1] || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_False),u,v)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u),c_False))*.
% 299.97/300.58 12749[0:SpR:12731.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u,v)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u),c_False))*.
% 299.97/300.58 13178[0:Obv:13158.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(hAPP(c_Complete__Lattice_OSup__class_OSup(u),v),u),v)),hAPP(c_Complete__Lattice_OSup__class_OSup(u),v))**.
% 299.97/300.58 13188[0:SpR:12821.1,248.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.58 13243[0:Obv:13228.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(hAPP(c_Complete__Lattice_OInf__class_OInf(u),v),u),v)),hAPP(c_Complete__Lattice_OInf__class_OInf(u),v))**.
% 299.97/300.58 13511[0:Res:475.1,12715.0] || hBOOL(c_in(c_False,u,tc_bool)) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),v)),c_False)**.
% 299.97/300.58 13512[0:Res:474.1,12715.0] || hBOOL(c_in(c_False,u,tc_bool)) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),v),u)),c_False)**.
% 299.97/300.58 13531[0:SpR:13510.0,4377.1] || hBOOL(c_in(hAPP(c_lessequals(tc_bool),c_False),u,v)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u),c_False))*.
% 299.97/300.58 13543[0:SpR:13517.0,4377.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_False))*.
% 299.97/300.58 13666[0:SpL:774.1,3956.0] || hBOOL(hAPP(u,v))* hBOOL(c_in(v,hAPP(c_fequal(w),x),w))* -> hBOOL(c_in(x,u,w))*.
% 299.97/300.58 13667[0:SpL:774.1,3223.0] || hBOOL(hAPP(u,v)) -> hBOOL(c_in(w,u,x)) hBOOL(c_in(v,hAPP(c_Set_Oinsert(w,x),u),x))*.
% 299.97/300.58 13684[0:Res:13341.0,4686.0] || -> equal(c_Orderings_Otop__class_Otop(tc_bool),u) hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_HOL_Oord__class_Oless(tc_bool),u)),c_False))*.
% 299.97/300.58 13711[0:SpR:13374.1,1091.0] || -> equal(u,c_False) equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))**.
% 299.97/300.58 13712[0:SpR:13374.1,1119.0] || -> equal(u,c_False) equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))**.
% 299.97/300.58 13722[0:SpR:13374.1,5137.0] || -> equal(u,c_False) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.58 13723[0:SpR:13374.1,5267.0] || -> equal(u,c_False) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.58 13728[0:SpR:13374.1,4013.0] || -> equal(u,c_False) hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))),c_False))*.
% 299.97/300.58 13741[0:SpR:13374.1,1403.0] || -> equal(u,c_False) hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w))*.
% 299.97/300.58 13886[0:Res:416.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,v),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oinsert(v,x),y),u,x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.58 13924[0:Res:13613.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,c_False),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.58 15155[0:Obv:15141.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,v,u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(u),u)),v))*.
% 299.97/300.58 15232[0:Res:5772.1,446.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> equal(c_Orderings_Obot__class_Obot(u),v).
% 299.97/300.58 15244[0:Res:5848.1,446.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> equal(v,c_Orderings_Otop__class_Otop(u)).
% 299.97/300.58 15279[0:SSi:15263.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),u).
% 299.97/300.58 15280[0:SSi:15262.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),u).
% 299.97/300.58 15281[0:SSi:15261.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)))* -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),u).
% 299.97/300.58 15282[0:SSi:15260.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)))* -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),u).
% 299.97/300.58 15470[0:SpR:3333.0,12263.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),c_False))),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)))**.
% 299.97/300.58 15493[0:SpR:15481.0,4377.1] || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_False),u,v)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),u),c_False))*.
% 299.97/300.58 15532[0:MRR:15531.2,1061.0] class_Orderings_Olinorder(u) || hBOOL(c_in(v,hAPP(c_fequal(u),w),u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v)).
% 299.97/300.58 15539[0:SpR:15484.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u,v)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),u),c_False))*.
% 299.97/300.58 15599[0:MRR:15598.2,1061.0] class_Orderings_Olinorder(u) || hBOOL(c_in(v,hAPP(c_fequal(u),w),u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)).
% 299.97/300.58 15709[0:SSi:15690.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),x),hAPP(c_Set_Oimage(y,v,w),u)),w)*.
% 299.97/300.58 15710[0:SSi:15679.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),hAPP(c_Set_Oimage(x,v,w),u)),y),w)*.
% 299.97/300.58 16081[0:SSi:16063.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(x,u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,x,w,tc_fun(tc_Hoare__Mirabelle_Otriple(y),tc_bool)),y)*.
% 299.97/300.58 16343[0:SSi:16342.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w))* -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(x,y),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.58 16344[0:SSi:16324.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> c_Hoare__Mirabelle_Ohoare__derivs(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,x,w,tc_fun(tc_Hoare__Mirabelle_Otriple(y),tc_bool)),hAPP(x,u),y)*.
% 299.97/300.58 16483[0:SpR:759.0,1384.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),u)*.
% 299.97/300.58 18763[0:SpR:12282.1,35.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Orderings_Otop__class_Otop(u),c_Orderings_Otop__class_Otop(u),w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))**.
% 299.97/300.58 18765[0:SpR:12282.1,1430.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.58 18929[0:SpR:12564.1,35.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Orderings_Obot__class_Obot(u),c_Orderings_Obot__class_Obot(u),w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))**.
% 299.97/300.58 18931[0:SpR:12564.1,1430.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.58 19651[0:SpR:19460.0,361.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(w,tc_bool),v,x),u),x))*.
% 299.97/300.58 19886[0:Rew:12684.0,19863.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)))),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u))**.
% 299.97/300.58 20085[0:SpL:728.0,20047.0] || hBOOL(hAPP(c_fequal(u),c_Orderings_Otop__class_Otop(tc_bool))) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_COMBC(c_fequal(u),u,u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20092[0:SpL:1581.0,20047.0] || hBOOL(hAPP(hAPP(c_fequal(u),c_Orderings_Otop__class_Otop(tc_bool)),v))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(u),v)),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.58 20168[0:Res:36.1,20047.0] class_Lattices_Olattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20169[0:Res:42.1,20047.0] class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20171[0:Res:320.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_fun(u,tc_bool)),v))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20186[0:Res:1554.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20187[0:Res:1561.1,20047.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20188[0:Res:1562.1,20047.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20189[0:Res:1539.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_COMBK(c_Orderings_Otop__class_Otop(tc_bool),u,v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20191[0:Res:1928.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20210[0:Res:37.1,20047.0] class_Lattices_Olattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Orderings_Otop__class_Otop(tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20211[0:Res:41.1,20047.0] class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Orderings_Otop__class_Otop(tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20240[0:Res:6062.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool))))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20542[0:SpR:3333.0,20526.0] || -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w)),tc_fun(v,tc_bool)),hAPP(c_fequal(v),u)),v)*.
% 299.97/300.58 21882[0:Res:491.0,352.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_fun(x,tc_bool)),w,tc_fun(y,tc_bool)),u))*.
% 299.97/300.58 22343[0:SpR:405.0,6050.0] || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oimage(w,x,v),hAPP(c_Set_Oinsert(y,x),z))),hAPP(w,y)))*.
% 299.97/300.58 24186[0:Res:2901.1,364.1] class_Orderings_Olinorder(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(w,x)),hAPP(w,x)))*.
% 299.97/300.58 24187[0:Res:1811.1,364.1] class_Lattices_Olattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(w,x)),hAPP(w,x)))*.
% 299.97/300.58 24188[0:Res:1319.1,364.1] class_Lattices_Oupper__semilattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(w,x)),hAPP(w,x)))*.
% 299.97/300.58 24189[0:Res:1279.1,364.1] class_Lattices_Olower__semilattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(w,x)),hAPP(w,x)))*.
% 299.97/300.58 24190[0:Res:494.1,364.1] class_Orderings_Oorder(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(w,x)),hAPP(w,x)))*.
% 299.97/300.58 24191[0:Res:495.1,364.1] class_Orderings_Opreorder(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(w,x)),hAPP(w,x)))*.
% 299.97/300.58 24604[0:SpR:24543.0,4377.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),w,y),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 24686[0:MRR:24650.2,1061.0] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,hAPP(c_fequal(u),w),u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v)).
% 299.97/300.58 24827[0:SpR:803.2,416.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(c_in(w,c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),u))*.
% 299.97/300.58 25012[0:SpR:802.2,416.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(c_in(v,c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),u))*.
% 299.97/300.58 25257[0:Res:10592.1,599.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w)* c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(c_Set_Oinsert(y,tc_Hoare__Mirabelle_Otriple(w)),u),w)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,v,w)*.
% 299.97/300.58 25259[0:Res:10592.1,597.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oinsert(v,tc_Hoare__Mirabelle_Otriple(w)),x),w)* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(y,tc_Hoare__Mirabelle_Otriple(w)),u),x,w)*.
% 299.97/300.58 25274[0:SpR:20201.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 25300[0:SSi:25299.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 25324[0:SpR:20203.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 25353[0:SSi:25352.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 25362[0:SpR:20256.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 25388[0:SSi:25387.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 25397[0:SpR:20258.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 25426[0:SSi:25425.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 25488[0:SpR:13507.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.58 25502[0:SSi:25501.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))))),c_False)**.
% 299.97/300.58 25511[0:SpR:13508.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.58 25525[0:SSi:25524.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))))),c_False)**.
% 299.97/300.58 25575[0:SpL:19895.0,4436.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))** -> equal(u,c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.58 25619[0:SpR:20170.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 25638[0:SSi:25637.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 25647[0:SpR:20202.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 25676[0:SSi:25675.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 25685[0:SpR:20204.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 25716[0:SSi:25715.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 25725[0:SpR:20255.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 25744[0:SSi:25743.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 25806[0:SpR:20257.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 25835[0:SSi:25834.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 25844[0:SpR:20259.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 25875[0:SSi:25874.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 25884[0:SpR:20260.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 25897[0:SSi:25896.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 25906[0:SpR:20361.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool))),c_Orderings_Otop__class_Otop(tc_bool),w,x),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 25926[0:SSi:25925.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_fequal(w),c_Orderings_Otop__class_Otop(tc_bool))))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 26299[0:SpR:411.0,8390.0] || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Set_Oinsert(x,v),y))),x))*.
% 299.97/300.58 26858[0:SpR:613.0,26483.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Set_Oinsert(v_x,t_a),v)),v_x),tc_bool),w)))*.
% 299.97/300.58 26874[0:SpR:613.0,26483.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Set_Oinsert(v_x,t_a),v),v_x),tc_bool),w))))*.
% 299.97/300.58 27275[0:SpR:13604.1,35.0] || hBOOL(hAPP(u,c_False)) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),u),c_False,w,x),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.58 27328[0:SSi:27327.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(u,c_False)) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Set_Oinsert(w,tc_bool),u))),c_False)**.
% 299.97/300.58 27947[0:Res:13613.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) -> hBOOL(c_in(c_False,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v,tc_fun(w,tc_bool)),w))*.
% 299.97/300.58 28359[0:SSi:28345.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w))*.
% 299.97/300.58 28360[0:SSi:28325.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),w))*.
% 299.97/300.58 28742[0:SpR:28267.1,1430.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),u))*.
% 299.97/300.58 28959[0:SpR:28269.1,1430.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),x))*.
% 299.97/300.58 29164[0:SpR:28270.1,20170.0] || equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 29166[0:SpR:28270.1,20255.0] || equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 29170[0:SpR:28270.1,708.0] || equal(c_False,u) -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),tc_fun(tc_bool,tc_bool)),w),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool))**.
% 299.97/300.58 29171[0:SpR:28270.1,706.0] || equal(c_False,u) -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w,tc_bool,tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)))**.
% 299.97/300.58 29172[0:SpR:28270.1,709.0] || equal(c_False,u) -> equal(c_Product__Type_OSigma(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w,tc_bool,x),c_COMBK(c_False,tc_bool,tc_prod(tc_bool,x)))**.
% 299.97/300.58 29177[0:SpR:28270.1,3649.0] || equal(c_False,u) -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w,tc_bool,tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,x))**.
% 299.97/300.58 29204[0:SpR:28270.1,1539.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_False))*.
% 299.97/300.58 29271[0:SpL:28270.1,4389.0] || equal(c_False,u) equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool)),c_COMBK(c_False,tc_bool,w))* -> .
% 299.97/300.58 29712[0:SpR:28271.1,20170.0] || equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 29714[0:SpR:28271.1,20255.0] || equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 29718[0:SpR:28271.1,708.0] || equal(c_False,u) -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),tc_fun(tc_bool,tc_bool)),w),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool))**.
% 299.97/300.58 29719[0:SpR:28271.1,706.0] || equal(c_False,u) -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w,tc_bool,tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)))**.
% 299.97/300.58 29720[0:SpR:28271.1,709.0] || equal(c_False,u) -> equal(c_Product__Type_OSigma(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w,tc_bool,x),c_COMBK(c_False,tc_bool,tc_prod(tc_bool,x)))**.
% 299.97/300.58 29725[0:SpR:28271.1,3649.0] || equal(c_False,u) -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w,tc_bool,tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,x))**.
% 299.97/300.58 29753[0:SpR:28271.1,1539.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_False))*.
% 299.97/300.58 29820[0:SpL:28271.1,4389.0] || equal(c_False,u) equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool)),c_COMBK(c_False,tc_bool,w))* -> .
% 299.97/300.58 34564[0:SSi:34553.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),w))*.
% 299.97/300.58 34565[0:SSi:34552.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w))*.
% 299.97/300.58 35985[0:AED:250.0,35960.1] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_HOL_Oord__class_Oless(tc_bool),u)),c_False))*.
% 299.97/300.58 37026[0:SpR:20230.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool))),c_Orderings_Otop__class_Otop(tc_bool),w,x),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 37051[0:SSi:37050.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(v,w),hAPP(c_fequal(w),c_Orderings_Otop__class_Otop(tc_bool))))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 37061[0:SpL:20352.0,4436.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w,x),c_Complete__Lattice_OSup__class_OSup(tc_bool))** -> equal(v,c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.58 37336[0:SpR:12701.1,26165.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.58 37337[0:SpR:1918.1,26165.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.58 37338[0:SpR:255.1,26165.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.58 37339[0:SpR:12821.1,26165.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.58 37340[0:SpR:1919.1,26165.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.58 37341[0:SpR:50.1,26165.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.58 40687[0:SpL:12684.0,39927.1] || hBOOL(c_in(v_x,hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u),tc_bool))* hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)) -> hBOOL(v_x).
% 299.97/300.58 42543[0:SpR:12701.1,26440.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.58 42544[0:SpR:1918.1,26440.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.58 42545[0:SpR:255.1,26440.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.58 42546[0:SpR:12821.1,26440.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.58 42547[0:SpR:1919.1,26440.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.58 42548[0:SpR:50.1,26440.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.58 42670[0:Res:26440.1,1141.0] || hBOOL(c_in(v_x,u,t_a)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(u,v_x))),c_False))*.
% 299.97/300.58 43642[0:SpL:13568.1,4436.0] || hBOOL(hAPP(u,c_False)) equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v,w,x),c_Complete__Lattice_OInf__class_OInf(tc_bool))** -> equal(v,c_False).
% 299.97/300.58 44558[0:SpL:456.0,24.0] || c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(u,v),w),x,v,tc_fun(y,tc_bool)),y)* -> c_Finite__Set_Ofinite(hAPP(x,u),y).
% 299.97/300.58 44780[0:SpL:708.0,44668.0] || equal(c_COMBK(c_False,tc_bool,u),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool)),tc_bool),c_False)**.
% 299.97/300.58 44803[0:SpL:65.1,44668.0] || equal(hAPP(u,c_False),c_False) -> equal(c_False,v) equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Fun_Ofun__upd(u,v,w,x,y),tc_bool),c_False)**.
% 299.97/300.58 44852[0:SpL:251.0,44668.0] || equal(hAPP(hAPP(u,c_False),v),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_COMBC(u,w,x,y),v),tc_bool),c_False)**.
% 299.97/300.58 46423[0:SSi:46422.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(v_x) -> equal(u,c_SetInterval_Oord__class_OatLeastAtMost(v_x,c_False,tc_bool)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_SetInterval_Oord__class_OatLeastAtMost(v_x,c_False,tc_bool),tc_bool,tc_bool),c_False)**.
% 299.97/300.58 46425[0:SSi:46424.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(v_x) -> equal(u,c_SetInterval_Oord__class_OatLeastAtMost(v_x,c_False,tc_bool)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_SetInterval_Oord__class_OatLeastAtMost(v_x,c_False,tc_bool),tc_bool,tc_bool),c_False)**.
% 299.97/300.58 49073[2:Res:3816.1,47875.1] || hBOOL(c_in(u,v,w)) equal(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),v),u),c_False)** -> .
% 299.97/300.58 49074[2:Res:4377.1,47875.1] || hBOOL(c_in(u,v,w)) equal(hAPP(hAPP(c_Set_Oimage(x,w,y),v),hAPP(x,u)),c_False)** -> .
% 299.97/300.58 49084[2:Res:2699.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_False)** -> .
% 299.97/300.58 49085[2:Res:1547.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(c_fequal(v),u)),c_False)** -> .
% 299.97/300.58 49091[2:Res:4819.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_lessequals(tc_fun(w,tc_bool)),x)),c_False),c_False)** -> .
% 299.97/300.58 49106[2:Res:156.2,47875.1] class_Orderings_Olinorder(u) || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w),c_False) -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v))*.
% 299.97/300.58 49107[2:Res:518.2,47875.1] class_Orderings_Olinorder(u) || equal(hAPP(hAPP(c_lessequals(u),v),w),c_False) -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v))*.
% 299.97/300.58 49108[2:Res:1528.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),v),c_False)** -> .
% 299.97/300.58 49109[2:Res:2002.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),v),c_False)** -> .
% 299.97/300.58 49115[2:Res:3804.1,47875.1] || hBOOL(c_in(u,v,w)) equal(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),x),u),c_False)** -> .
% 299.97/300.58 49175[2:Res:156.1,47875.1] class_Orderings_Olinorder(u) || equal(hAPP(hAPP(c_lessequals(u),v),w),c_False) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v))*.
% 299.97/300.58 49180[2:Res:1533.0,47875.1] || equal(hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(u,v,w,x,y),z,x1),c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool))),w),c_False)** -> .
% 299.97/300.58 49196[2:Res:1134.1,47875.1] || hBOOL(hAPP(c_fequal(u),c_False)) equal(hAPP(c_fequal(u),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_COMBC(c_fequal(u),u,u,tc_bool))),c_False)** -> .
% 299.97/300.58 49236[2:Res:1425.1,47875.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_in(v,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x),c_False)** -> .
% 299.97/300.58 49237[2:Res:1426.1,47875.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_in(v,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x),c_False)** -> .
% 299.97/300.58 49239[2:Res:1410.0,47875.1] || equal(c_in(u,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x),c_False)** -> .
% 299.97/300.58 49339[0:MRR:49319.1,49337.2] class_OrderedGroup_Opordered__ab__group__add(tc_bool) || equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_bool),v),c_False)** -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),w))*.
% 299.97/300.58 50399[2:SpR:47834.1,1091.0] || hBOOL(u) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))**.
% 299.97/300.58 50400[2:SpR:47834.1,1119.0] || hBOOL(u) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))**.
% 299.97/300.58 50411[2:SpR:47834.1,5137.0] || hBOOL(u) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.58 50412[2:SpR:47834.1,5267.0] || hBOOL(u) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.58 50417[2:SpR:47834.1,4013.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))),c_False))*.
% 299.97/300.58 50434[2:SpR:47834.1,1403.0] || hBOOL(u) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w))*.
% 299.97/300.58 54089[0:Rew:18.1,53982.2,278.1,53982.2] class_Lattices_Obounded__lattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),v)**.
% 299.97/300.58 54092[0:Rew:18.1,53936.2,277.1,53936.2] class_Lattices_Obounded__lattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),w),w)**.
% 299.97/300.58 54456[0:Rew:366.1,54345.2,186.1,54345.2] class_Lattices_Obounded__lattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),v)**.
% 299.97/300.58 54459[0:Rew:366.1,54277.2,187.1,54277.2] class_Lattices_Obounded__lattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),w),w)**.
% 299.97/300.58 54851[0:Rew:19.1,54748.2,278.1,54748.2] class_Lattices_Obounded__lattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),v)**.
% 299.97/300.58 54855[0:Rew:19.1,54701.2,277.1,54701.2] class_Lattices_Obounded__lattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),v),v)**.
% 299.97/300.58 54857[0:Rew:54448.2,54856.2,12702.1,54856.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),v)**.
% 299.97/300.58 54858[0:Rew:54857.2,54083.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),v)**.
% 299.97/300.58 54859[0:Rew:54857.2,54448.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),v)**.
% 299.97/300.58 54862[0:Rew:54858.2,54080.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),v)**.
% 299.97/300.58 55265[0:Rew:367.1,55158.2,186.1,55158.2] class_Lattices_Obounded__lattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),v)**.
% 299.97/300.58 55269[0:Rew:367.1,55089.2,187.1,55089.2] class_Lattices_Obounded__lattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),v),v)**.
% 299.97/300.58 58283[0:SpR:54070.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),u,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))**.
% 299.97/300.58 58430[0:SpR:58351.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w,x),v),x))*.
% 299.97/300.58 59599[0:SpR:54440.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),u,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u))**.
% 299.97/300.58 60022[0:SpR:54836.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),u,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u))**.
% 299.97/300.58 60221[0:SpR:54837.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),u,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))**.
% 299.97/300.58 61017[2:SSi:61004.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_fequal(t_a),v_x),v_x))),c_False)** -> .
% 299.97/300.58 61098[2:SSi:61093.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v)),c_False)** -> .
% 299.97/300.58 61295[0:SpR:49966.1,13523.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))),c_False)**.
% 299.97/300.58 61317[0:SpR:49966.1,691.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(c_Set_Oimage(v,tc_bool,w),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),c_COMBK(c_False,tc_bool,w))**.
% 299.97/300.58 61333[0:SpR:49966.1,49966.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(v,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))*.
% 299.97/300.58 61336[0:SpR:49966.1,10498.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.58 61340[0:SpR:49966.1,899.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,c_False,w,x),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))**.
% 299.97/300.58 61394[0:SpL:49966.1,4145.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(v,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) equal(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.58 61397[0:SpL:49966.1,696.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) c_Finite__Set_Ofold__graph(v,w,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),x,tc_bool,y)* -> equal(x,w).
% 299.97/300.58 61405[0:SpL:49966.1,28273.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_False,v) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_bool))* -> .
% 299.97/300.58 61875[2:SpL:49966.1,49047.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v),c_False)** -> .
% 299.97/300.58 62006[2:SSi:61996.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),v)),c_False)** -> .
% 299.97/300.58 62007[2:SSi:61979.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w))),w),c_False)** -> .
% 299.97/300.58 62156[2:Rew:62049.0,50499.1] || hBOOL(u) -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_bool,tc_bool),c_False)**.
% 299.97/300.58 62157[2:Rew:62049.0,50498.1] || hBOOL(u) -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_bool,tc_bool),c_False)**.
% 299.97/300.58 62169[0:Rew:62049.0,13772.1] || -> equal(u,c_False) equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_bool,tc_bool),c_False)**.
% 299.97/300.58 62170[0:Rew:62049.0,13771.1] || -> equal(u,c_False) equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_bool,tc_bool),c_False)**.
% 299.97/300.58 62181[0:Rew:62049.0,9909.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)))* -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)).
% 299.97/300.58 62184[0:Rew:62049.0,9675.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)))* -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)).
% 299.97/300.58 62187[0:Rew:62049.0,9015.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)))* -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)).
% 299.97/300.58 62190[0:Rew:62049.0,8841.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)))* -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)).
% 299.97/300.58 62330[0:SSi:62329.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),u)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.58 62334[0:SSi:62333.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.58 63850[2:SSi:63842.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w))),c_False)** -> .
% 299.97/300.58 63921[0:SSi:63908.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),tc_bool),w))))*.
% 299.97/300.58 63922[0:SSi:63907.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),tc_bool),w))))*.
% 299.97/300.58 64265[0:SSi:64183.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 64346[2:SSi:64334.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),u))),c_False)** -> .
% 299.97/300.58 64347[2:SSi:64315.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u))),c_False)** -> .
% 299.97/300.58 64942[2:SSi:64936.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w))),v),c_False)** -> .
% 299.97/300.58 65023[0:SSi:64991.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),tc_bool),w))),v))*.
% 299.97/300.58 65024[0:SSi:64990.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),tc_bool),w))),u))*.
% 299.97/300.58 66578[0:SSi:66506.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.58 66579[0:SSi:66487.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),w,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.58 66927[0:SSi:66859.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.58 67110[0:SSi:67071.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),u)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.58 67111[0:SSi:67070.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.58 67112[0:SSi:67054.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.58 67289[0:SSi:67217.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.58 67603[0:SSi:67527.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.58 67604[0:SSi:67525.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.58 67605[0:SSi:67508.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),w,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.58 67699[0:SSi:67672.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.58 67798[0:SSi:67764.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.58 67860[0:SSi:67843.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),c_Orderings_Otop__class_Otop(tc_bool))** -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),v),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.58 67861[0:SSi:67826.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),c_Orderings_Otop__class_Otop(tc_bool))** -> equal(c_Orderings_Otop__class_Otop(tc_bool),w).
% 299.97/300.58 67935[0:SSi:67923.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),c_Orderings_Otop__class_Otop(tc_bool))** -> equal(c_Orderings_Otop__class_Otop(tc_bool),v).
% 299.97/300.58 67999[0:SpR:63959.0,28267.1] || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)),c_False)** -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)),u).
% 299.97/300.58 68043[0:SSi:68042.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)))),u)**.
% 299.97/300.58 68045[0:SSi:68044.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u))),v)),u)**.
% 299.97/300.58 68166[0:SSi:68165.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)))),u)**.
% 299.97/300.58 68168[0:SSi:68167.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u))),v)),u)**.
% 299.97/300.58 68960[0:SpR:64010.0,28267.1] || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),c_False)** -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),u).
% 299.97/300.58 69009[0:SSi:69008.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)))),u)**.
% 299.97/300.58 69011[0:SSi:69010.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),v)),u)**.
% 299.97/300.58 69138[0:SSi:69137.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)))),u)**.
% 299.97/300.58 69140[0:SSi:69139.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),v)),u)**.
% 299.97/300.58 69331[2:SpL:613.0,49152.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Set_Oinsert(v_x,t_a),w)),v_x)),c_False)** -> .
% 299.97/300.58 69406[2:SpL:613.0,49156.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Set_Oinsert(v_x,t_a),v)),v_x)),w),c_False)** -> .
% 299.97/300.58 69459[2:SpL:29744.1,49258.0] || equal(c_False,u) equal(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool)),w),c_False)** -> .
% 299.97/300.58 69466[2:SpL:29194.1,49258.0] || equal(c_False,u) equal(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool)),w),c_False)** -> .
% 299.97/300.58 70119[0:SpL:29743.1,62244.1] || equal(c_False,u) equal(v,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,v,tc_bool))* -> .
% 299.97/300.58 70120[0:SpL:29195.1,62244.1] || equal(c_False,u) equal(v,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,v,tc_bool))* -> .
% 299.97/300.58 70335[0:SpL:29743.1,62246.1] || equal(c_False,u) equal(v,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,v,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool))* -> .
% 299.97/300.58 70336[0:SpL:29195.1,62246.1] || equal(c_False,u) equal(v,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool))* -> .
% 299.97/300.58 70907[0:SpR:68028.1,35.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 72843[0:SpR:68995.1,35.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 72888[0:SSi:72887.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 74658[2:SpL:613.0,73732.0] || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Set_Oinsert(v_x,t_a),v)),v_x)),c_False)** -> .
% 299.97/300.58 74728[0:SpR:613.0,73754.0] || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Set_Oinsert(v_x,t_a),v)),v_x),c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.58 74785[0:SpR:12701.1,73586.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.58 74786[0:SpR:1918.1,73586.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.58 74787[0:SpR:255.1,73586.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.58 74788[0:SpR:12821.1,73586.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.58 74789[0:SpR:1919.1,73586.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.58 74790[0:SpR:50.1,73586.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.58 77067[0:SpR:613.0,58783.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),w)))),u)**.
% 299.97/300.58 77329[0:SpR:613.0,59886.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),w)))),u)**.
% 299.97/300.58 78664[0:SpL:12596.0,4436.0] || equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool),v,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u))** -> equal(v,u).
% 299.97/300.58 78819[0:SpL:24608.0,4436.0] || equal(c_Fun_Ofun__upd(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w,x,y),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))** -> equal(w,c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.58 78910[0:SSi:78847.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(u,v,tc_bool))* equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v),c_False) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v),u).
% 299.97/300.58 79936[0:Obv:79757.1] || hBOOL(u) equal(c_COMBK(u,v,w),c_False)** -> equal(c_COMBK(u,v,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.58 79953[0:Obv:79587.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v))* equal(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),tc_bool))*.
% 299.97/300.58 80024[0:Obv:79611.0] || equal(hAPP(c_Set_Oinsert(u,v),w),c_False)** -> equal(hAPP(c_Set_Oinsert(u,v),w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(u,v),tc_bool)).
% 299.97/300.58 80242[0:SpL:988.0,79861.0] || hBOOL(u) equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),c_False)** -> equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.58 80308[0:Res:2901.1,79861.0] class_Orderings_Olinorder(u) || equal(hAPP(c_lessequals(u),c_False),c_False)** -> equal(hAPP(c_lessequals(u),c_False),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.58 80309[0:Res:1811.1,79861.0] class_Lattices_Olattice(u) || equal(hAPP(c_lessequals(u),c_False),c_False)** -> equal(hAPP(c_lessequals(u),c_False),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.58 80310[0:Res:1319.1,79861.0] class_Lattices_Oupper__semilattice(u) || equal(hAPP(c_lessequals(u),c_False),c_False)** -> equal(hAPP(c_lessequals(u),c_False),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.58 80311[0:Res:1279.1,79861.0] class_Lattices_Olower__semilattice(u) || equal(hAPP(c_lessequals(u),c_False),c_False)** -> equal(hAPP(c_lessequals(u),c_False),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.58 80312[0:Res:494.1,79861.0] class_Orderings_Oorder(u) || equal(hAPP(c_lessequals(u),c_False),c_False)** -> equal(hAPP(c_lessequals(u),c_False),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.58 80313[0:Res:495.1,79861.0] class_Orderings_Opreorder(u) || equal(hAPP(c_lessequals(u),c_False),c_False)** -> equal(hAPP(c_lessequals(u),c_False),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.58 80324[0:Res:1003.1,79861.0] class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,u),c_False)** -> equal(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.58 81479[0:SpR:12701.1,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),v)))*.
% 299.97/300.58 81480[0:SpR:1918.1,24254.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),v)))*.
% 299.97/300.58 81481[0:SpR:255.1,24254.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),v)))*.
% 299.97/300.58 81482[0:SpR:12821.1,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),v)))*.
% 299.97/300.58 81483[0:SpR:1919.1,24254.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),v)))*.
% 299.97/300.58 81484[0:SpR:50.1,24254.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),v)))*.
% 299.97/300.58 81712[0:SpR:20155.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_fequal(w),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.58 81799[0:SpR:19877.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OInf__class_OInf(tc_bool)),hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.58 82126[0:SpR:82115.0,4377.1] || hBOOL(c_in(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u,v)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u),c_False))*.
% 299.97/300.58 83029[2:SpL:613.0,49246.0] || equal(c_in(u,hAPP(c_Set_Oinsert(v,w),hAPP(c_Set_Oinsert(x,w),hAPP(c_Set_Oinsert(u,w),y))),w),c_False)** -> .
% 299.97/300.58 83054[0:SpR:12701.1,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(v,w),y)),v))*.
% 299.97/300.58 83055[0:SpR:1918.1,22323.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(v,w),y)),v))*.
% 299.97/300.58 83056[0:SpR:255.1,22323.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(v,w),y)),v))*.
% 299.97/300.58 83057[0:SpR:12821.1,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(v,w),y)),v))*.
% 299.97/300.58 83058[0:SpR:1919.1,22323.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(v,w),y)),v))*.
% 299.97/300.58 83059[0:SpR:50.1,22323.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(v,w),y)),v))*.
% 299.97/300.58 83071[2:SpR:50431.1,22323.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_False))*.
% 299.97/300.58 83072[0:SpR:13738.1,22323.0] || -> equal(u,c_False) hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_False))*.
% 299.97/300.58 83088[0:SpR:5169.1,22323.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,x),hAPP(c_Set_Oinsert(y,w),z)),c_False))*.
% 299.97/300.58 83090[0:SpR:5302.1,22323.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,x),hAPP(c_Set_Oinsert(y,w),z)),c_False))*.
% 299.97/300.58 83287[0:SpR:20155.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_fequal(w),c_Orderings_Otop__class_Otop(tc_bool)),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 83375[0:SpR:19877.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u),w)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 83394[0:SpR:13495.1,22323.0] || hBOOL(hAPP(u,c_False)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(u,v),x)),c_False))*.
% 299.97/300.58 83424[0:SpR:613.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),hAPP(c_Set_Oinsert(y,v),z))),hAPP(u,y)))*.
% 299.97/300.58 83517[0:SpR:613.0,83096.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),hAPP(c_Set_Oinsert(u,v),y))),c_False))*.
% 299.97/300.58 83681[0:SpR:613.0,83409.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),hAPP(c_Set_Oinsert(c_False,v),y))),u))*.
% 299.97/300.58 83698[0:Res:83409.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u,v),hAPP(c_Set_Oinsert(c_False,u),w))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 84872[0:SpL:5266.1,15708.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u)))* -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.58 84873[0:SpL:5136.1,15708.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u)))* -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.58 84932[0:SSi:84909.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_COMBK(c_False,tc_bool,v),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))** c_Finite__Set_Ofinite(u,v).
% 299.97/300.58 85374[0:SpL:410.0,84527.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),hAPP(c_Set_Oinsert(v,tc_bool),w))))* -> hBOOL(v).
% 299.97/300.58 85379[0:SpL:405.0,84527.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(u,v,tc_bool),hAPP(c_Set_Oinsert(w,v),x))))* -> hBOOL(hAPP(u,w)).
% 299.97/300.58 86891[0:SpL:728.0,86811.0] || hBOOL(hAPP(c_fequal(u),v))* hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_COMBC(c_fequal(u),u,u,tc_bool)))*.
% 299.97/300.58 86900[0:SpL:1581.0,86811.0] || hBOOL(hAPP(hAPP(c_fequal(u),v),w))* hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(u),w)))*.
% 299.97/300.58 86920[0:SpL:441.1,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) hBOOL(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OInf__class_OInf(u)))*.
% 299.97/300.58 86921[0:SpL:357.1,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) hBOOL(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OSup__class_OSup(u)))*.
% 299.97/300.58 86930[0:SpL:682.1,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) hBOOL(c_COMBK(c_False,tc_bool,u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OSup__class_OSup(u)))*.
% 299.97/300.58 86931[0:SpL:683.1,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) hBOOL(c_COMBK(c_False,tc_bool,u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OInf__class_OInf(u)))*.
% 299.97/300.58 87247[0:Res:36.1,86811.0] class_Lattices_Olattice(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))))*.
% 299.97/300.58 87248[0:Res:42.1,86811.0] class_Lattices_Olower__semilattice(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))))*.
% 299.97/300.58 87250[0:Res:320.0,86811.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(v,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w))))*.
% 299.97/300.58 87266[0:Res:228.1,86811.0] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)))*.
% 299.97/300.58 87267[0:Res:233.1,86811.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)))*.
% 299.97/300.58 87268[0:Res:229.1,86811.0] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),w)))*.
% 299.97/300.58 87269[0:Res:232.1,86811.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),w)))*.
% 299.97/300.58 87278[0:Res:1554.0,86811.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))))*.
% 299.97/300.58 87281[0:Res:1539.0,86811.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_COMBK(u,v,w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)))))*.
% 299.97/300.58 87283[0:Res:1928.0,86811.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))))*.
% 299.97/300.58 87303[0:Res:83409.0,86811.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),hAPP(c_Set_Oinsert(c_False,v),x))))*.
% 299.97/300.58 87383[0:Res:37.1,86811.0] class_Lattices_Olattice(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v))))*.
% 299.97/300.58 87384[0:Res:41.1,86811.0] class_Lattices_Olower__semilattice(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v))))*.
% 299.97/300.58 87409[0:Res:8390.0,86811.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Set_Oinsert(u,v),x))))*.
% 299.97/300.58 87416[0:Res:6062.0,86811.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,w),hAPP(c_Set_Oinsert(x,w),hAPP(c_fequal(w),u)))))*.
% 299.97/300.58 87462[0:Res:22323.0,86811.0] || hBOOL(hAPP(u,v)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(u,w,x),hAPP(c_Set_Oinsert(v,w),y))))*.
% 299.97/300.58 87722[0:Obv:87039.1] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)))*.
% 299.97/300.58 87723[0:Obv:87038.1] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)))*.
% 299.97/300.58 87724[0:Obv:87036.1] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)))*.
% 299.97/300.58 87725[0:Obv:87035.1] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)))*.
% 299.97/300.58 87805[0:MRR:18970.2,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.58 87808[0:MRR:18813.2,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.58 87810[0:MRR:29000.2,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),w))*.
% 299.97/300.58 87838[0:MRR:28781.2,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u)),v))*.
% 299.97/300.58 87859[0:Res:87746.1,79861.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(c_lessequals(u),c_False),c_False)** -> equal(hAPP(c_lessequals(u),c_False),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.58 87918[0:Res:87746.1,364.1] class_Complete__Lattice_Ocomplete__lattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(w,x)),hAPP(w,x)))*.
% 299.97/300.58 88249[0:SpL:712.1,20531.0] class_Orderings_Oorder(u) || c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)),u)* -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.58 88516[0:Res:1382.0,10584.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w)),x),v)*.
% 299.97/300.58 88517[0:Res:1385.0,10584.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x)),v)*.
% 299.97/300.58 88573[0:SpR:712.1,22632.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_Set_Oimage(v,u,w),c_SetInterval_Oord__class_OatLeastAtMost(x,x,u)),hAPP(c_fequal(w),hAPP(v,x)))**.
% 299.97/300.58 88682[0:SpR:3333.0,22324.0] || -> hBOOL(c_in(hAPP(u,v),hAPP(c_Set_Oimage(u,w,x),hAPP(c_Set_Oinsert(y,w),hAPP(c_fequal(w),v))),x))*.
% 299.97/300.58 88705[0:SpR:256.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w,x),hAPP(c_Set_Oinsert(u,w),y)),x))*.
% 299.97/300.58 88720[0:SpR:34.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(c_Fun_Ofun__upd(v,w,u,x,y),z,x1),hAPP(c_Set_Oinsert(w,z),x2)),x1))*.
% 299.97/300.58 88779[0:SpR:12637.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),x)),w))*.
% 299.97/300.58 88780[0:SpR:12625.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v),hAPP(c_Set_Oinsert(w,u),x)),v))*.
% 299.97/300.58 88934[0:SpR:20243.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u),w)),v))*.
% 299.97/300.58 88935[0:SpR:20206.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_bool),w),u),x)),v))*.
% 299.97/300.58 88936[0:SpR:20242.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u),x)),v))*.
% 299.97/300.58 88976[0:SpR:20154.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),u),x)),v))*.
% 299.97/300.58 89008[0:SpR:8858.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool),u),x)),v))*.
% 299.97/300.58 89009[0:SpR:9690.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool),u),x)),v))*.
% 299.97/300.58 89012[0:SpR:9032.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool),u),x)),v))*.
% 299.97/300.58 89013[0:SpR:9924.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool),u),x)),v))*.
% 299.97/300.58 89015[0:SpR:12544.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(c_False,tc_bool),w),u),x)),v))*.
% 299.97/300.58 89028[0:SpR:13619.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u),w)),v))*.
% 299.97/300.58 89257[0:Res:87256.2,20047.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),c_False)) hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_Orderings_Otop__class_Otop(tc_bool))) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 89284[0:SpL:3333.0,89273.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),c_False))))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u))).
% 299.97/300.58 89324[0:Res:1418.0,85358.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))))* -> hBOOL(u).
% 299.97/300.58 89334[0:Res:1403.0,85358.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_COMBK(u,v,w),x,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)))))* -> hBOOL(u).
% 299.97/300.58 89522[2:Res:15156.0,53092.0] || equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),tc_fun(u,tc_bool))),v),c_False)** -> .
% 299.97/300.58 89534[0:Res:15156.0,527.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.58 89535[0:Res:15156.0,528.0] || c_Hoare__Mirabelle_Ohoare__derivs(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w,v)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,w,v).
% 299.97/300.58 89543[0:Res:15156.0,53.0] || c_Fun_Oinj__on(u,v,w,x) -> c_Fun_Oinj__on(u,c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),tc_fun(w,tc_bool)),w,x)*.
% 299.97/300.58 89544[0:Res:15156.0,486.0] || hBOOL(c_in(u,c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),tc_fun(w,tc_bool)),w))* -> hBOOL(c_in(u,v,w)).
% 299.97/300.58 89572[0:SSi:89565.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),tc_fun(v,tc_bool)),w)),hAPP(u,w)))*.
% 299.97/300.58 90602[0:SpR:90441.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),u),w,x),hAPP(c_Set_Oinsert(u,w),y)),x))*.
% 299.97/300.58 92366[0:SpR:12701.1,86793.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x)),v_x)),c_False)**.
% 299.97/300.58 92367[0:SpR:1918.1,86793.0] class_Lattices_Olattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x)),v_x)),c_False)**.
% 299.97/300.58 92368[0:SpR:255.1,86793.0] class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x)),v_x)),c_False)**.
% 299.97/300.58 92369[0:SpR:12821.1,86793.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x)),v_x)),c_False)**.
% 299.97/300.58 92370[0:SpR:1919.1,86793.0] class_Lattices_Olattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x)),v_x)),c_False)**.
% 299.97/300.58 92371[0:SpR:50.1,86793.0] class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x)),v_x)),c_False)**.
% 299.97/300.58 92742[0:SpR:5198.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OSup__class_OSup(tc_bool),tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool))),c_False))*.
% 299.97/300.58 92743[0:SpR:8825.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OSup__class_OSup(tc_bool),tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool))),c_False))*.
% 299.97/300.58 92745[0:SpR:5331.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OSup__class_OSup(tc_bool),tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool))),c_False))*.
% 299.97/300.58 92746[0:SpR:8998.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OSup__class_OSup(tc_bool),tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool))),c_False))*.
% 299.97/300.58 92757[0:SpR:15481.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OSup__class_OSup(tc_bool),tc_fun(u,tc_bool)),v),hAPP(c_fequal(tc_bool),c_False))),c_False))*.
% 299.97/300.58 92799[0:SpR:15484.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OSup__class_OSup(tc_bool),tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool))),c_False))*.
% 299.97/300.58 92853[0:SpR:12718.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(u,tc_bool)),v),hAPP(c_fequal(tc_bool),c_False))),c_False))*.
% 299.97/300.58 92854[0:SpR:13510.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(u,tc_bool)),v),hAPP(c_lessequals(tc_bool),c_False))),c_False))*.
% 299.97/300.58 92869[0:SpR:12731.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool))),c_False))*.
% 299.97/300.58 92876[0:SpR:13517.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(u,tc_bool)),v),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))),c_False))*.
% 299.97/300.58 92877[0:SpR:82115.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(u,tc_bool)),v),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))),c_False))*.
% 299.97/300.58 92928[2:Res:24257.0,53092.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),x)),hAPP(u,x)),c_False)** -> .
% 299.97/300.58 92930[0:Res:24257.0,28275.1] || equal(hAPP(u,v),c_False) -> equal(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(w,tc_bool)),x),v),hAPP(u,v))**.
% 299.97/300.58 92959[0:SSi:92958.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(u,v),hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(w,tc_bool)),x),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.58 92961[0:SSi:92960.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(u,v),hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(w,tc_bool)),x),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.58 93518[0:Res:89278.2,531.0] || hBOOL(c_in(c_False,c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(c_Complete__Lattice_OSup__class_OSup(tc_bool)),tc_bool))* hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(c_Complete__Lattice_OSup__class_OSup(tc_bool)))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_False)).
% 299.97/300.58 94182[0:SSi:94181.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),w))))* -> hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),w)).
% 299.97/300.58 94205[2:Res:87830.1,53092.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u)),w),c_False)** -> .
% 299.97/300.58 94269[0:SSi:94234.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),tc_fun(u,tc_bool))),v)**.
% 299.97/300.58 94273[0:SSi:94223.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x,w)* -> c_Hoare__Mirabelle_Ohoare__derivs(v,x,w).
% 299.97/300.58 94274[0:SSi:94222.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),v),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.58 94502[0:SSi:94501.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Set_Oinsert(w,tc_bool),u))))*.
% 299.97/300.58 94786[2:Res:17248.0,53092.0] || equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),hAPP(c_Set_Oinsert(x,u),v))),c_False)** -> .
% 299.97/300.58 94792[0:Res:17248.0,528.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(w)),hAPP(c_Set_Oinsert(y,tc_Hoare__Mirabelle_Otriple(w)),u)),v,w)*.
% 299.97/300.58 94800[0:Res:17248.0,53.0] || c_Fun_Oinj__on(u,hAPP(c_Set_Oinsert(v,w),hAPP(c_Set_Oinsert(x,w),y)),w,z)* -> c_Fun_Oinj__on(u,y,w,z).
% 299.97/300.58 94801[0:Res:17248.0,486.0] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oinsert(x,w),hAPP(c_Set_Oinsert(y,w),v)),w))*.
% 299.97/300.58 94832[0:SSi:94822.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,v)),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Set_Oinsert(y,x),u)),v)))*.
% 299.97/300.58 95510[0:Res:1367.0,10618.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),u),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),v)*.
% 299.97/300.58 95725[0:Res:1367.0,10619.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),u),w),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),v)*.
% 299.97/300.58 96024[2:Res:21881.1,53092.0] || hBOOL(c_in(u,v,w)) equal(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_fequal(x),w,tc_fun(y,tc_bool)),u),c_False)** -> .
% 299.97/300.58 96041[0:Res:87828.1,1141.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u))),c_False))*.
% 299.97/300.58 96089[0:Res:87828.1,449.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u)),v)**.
% 299.97/300.58 96090[0:Res:87828.1,451.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u)),v),v)**.
% 299.97/300.58 96184[0:Res:87846.1,449.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_False),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),c_False)**.
% 299.97/300.58 96549[0:Res:96435.1,1141.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),u))),c_False))*.
% 299.97/300.58 96714[0:Res:96436.1,1141.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x))),c_False))*.
% 299.97/300.58 96843[0:Res:87827.1,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u))))*.
% 299.97/300.58 96846[0:Res:87827.1,20047.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 96889[0:Res:87827.1,449.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),v)**.
% 299.97/300.58 96920[0:SSi:96849.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(c_Set_Oimage(w,v,x),u)),tc_fun(x,tc_bool)),x)*.
% 299.97/300.58 96986[0:Res:96907.0,10584.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w)),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),v)*.
% 299.97/300.58 97050[0:Res:87839.1,449.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),v)**.
% 299.97/300.58 97080[0:SSi:97010.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_Set_Oimage(w,v,x),u)),tc_fun(x,tc_bool)),x)*.
% 299.97/300.58 97095[0:Res:97067.0,10584.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w)),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),v)*.
% 299.97/300.58 97279[0:SpR:657.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_COMBK(u,w,x)),y),z)))*.
% 299.97/300.58 97345[0:SpR:1916.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),w),u)))*.
% 299.97/300.58 97641[0:SSi:97628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)),w),x)))*.
% 299.97/300.58 97642[0:SSi:97627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w)),x),u)))*.
% 299.97/300.58 97789[0:SpR:657.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_COMBK(u,x,y)),z)))*.
% 299.97/300.58 97855[0:SpR:1916.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),u)))*.
% 299.97/300.58 98151[0:SSi:98138.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)),x)))*.
% 299.97/300.58 98152[0:SSi:98137.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x)),u)))*.
% 299.97/300.58 98201[0:Res:1392.0,12715.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_False),v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_False)**.
% 299.97/300.58 98560[2:SpL:3333.0,49213.0] || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_fequal(t_a),v_x)),v_x))),c_False)** -> .
% 299.97/300.58 98676[0:SpR:712.1,73721.0] class_Orderings_Oorder(t_a) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Set_Oinsert(u,t_a),c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a)),v_x)))*.
% 299.97/300.58 98704[0:SSi:98703.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_fequal(t_a),v_x)),v_x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.58 98706[0:SSi:98705.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_fequal(t_a),v_x)),v_x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.58 99092[0:Obv:99070.1] class_Orderings_Obot(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> equal(c_Orderings_Obot__class_Obot(u),v).
% 299.97/300.58 99093[0:Obv:99069.1] class_Orderings_Obot(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> equal(c_Orderings_Obot__class_Obot(u),v).
% 299.97/300.58 99494[0:Obv:99477.1] class_Orderings_Otop(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> equal(v,c_Orderings_Otop__class_Otop(u)).
% 299.97/300.58 99495[0:Obv:99476.1] class_Orderings_Otop(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> equal(v,c_Orderings_Otop__class_Otop(u)).
% 299.97/300.58 99651[0:Obv:99627.1] class_Orderings_Obot(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> equal(v,c_Orderings_Obot__class_Obot(u)).
% 299.97/300.58 99785[0:Obv:99766.1] class_Orderings_Otop(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> equal(c_Orderings_Otop__class_Otop(u),v).
% 299.97/300.58 99839[0:Res:99518.1,1141.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(tc_bool),u)),c_False))*.
% 299.97/300.58 99894[0:SSi:99863.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u))* -> equal(u,v).
% 299.97/300.58 99895[0:SSi:99857.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(u,v))) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool)),v))*.
% 299.97/300.58 100354[0:SSi:100338.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_fun(w,tc_bool)),x))* -> hBOOL(hAPP(v,x)).
% 299.97/300.58 100355[0:SSi:100292.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Olower__semilattice(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_COMBK(c_False,tc_bool,v)),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.58 100476[0:Res:100450.1,531.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_lessequals(tc_bool),u))),c_Orderings_Otop__class_Otop(tc_bool)))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False)).
% 299.97/300.58 100541[0:SSi:100501.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)))* equal(v,u).
% 299.97/300.58 100638[0:SSi:100622.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_fun(w,tc_bool)),x))* -> hBOOL(hAPP(v,x)).
% 299.97/300.58 100639[0:SSi:100576.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Oupper__semilattice(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_COMBK(c_False,tc_bool,v)),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.58 101256[0:SpR:712.1,26171.0] class_Orderings_Oorder(t_a) || -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,t_a),c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a)),v_x)))*.
% 299.97/300.58 101299[0:SpR:712.1,26434.0] class_Orderings_Oorder(t_a) || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x))),c_False))*.
% 299.97/300.58 101384[0:Res:4138.1,3919.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))** -> hBOOL(c_in(x,v,u))*.
% 299.97/300.58 101597[0:SpR:712.1,26446.0] class_Orderings_Oorder(t_a) || -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a)),v_x)),v))*.
% 299.97/300.58 101653[0:SpL:712.1,26491.0] class_Orderings_Oorder(t_a) || hBOOL(c_in(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x),u,tc_bool))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)).
% 299.97/300.58 101836[0:Res:618.1,101661.0] || hBOOL(hAPP(u,hAPP(hAPP(c_fequal(t_a),v_x),v_x)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,w),u)))*.
% 299.97/300.58 101848[0:Res:4377.1,101661.0] || hBOOL(c_in(v_x,u,v)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_fequal(t_a),v_x),v,w),u)))*.
% 299.97/300.58 102218[0:SpL:8828.0,13885.0] || c_Finite__Set_Ofinite(c_False,u) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool),v,tc_fun(u,tc_bool)),u)*.
% 299.97/300.58 102219[0:SpL:9428.0,13885.0] || c_Finite__Set_Ofinite(c_False,u) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool),v,tc_fun(u,tc_bool)),u)*.
% 299.97/300.58 102220[0:SpL:9002.0,13885.0] || c_Finite__Set_Ofinite(c_False,u) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool),v,tc_fun(u,tc_bool)),u)*.
% 299.97/300.58 102221[0:SpL:9728.0,13885.0] || c_Finite__Set_Ofinite(c_False,u) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool),v,tc_fun(u,tc_bool)),u)*.
% 299.97/300.58 102233[0:SpL:956.0,13885.0] || c_Finite__Set_Ofinite(u,v)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.58 102240[0:SpL:657.0,13885.0] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),c_COMBK(u,x,y),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.58 102267[0:SpL:988.0,13885.0] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.58 102305[0:SpL:1118.0,13885.0] || c_Finite__Set_Ofinite(c_False,u) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v,tc_fun(u,tc_bool)),u)*.
% 299.97/300.58 102306[0:SpL:1916.0,13885.0] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.58 102586[0:Res:23241.1,13885.0] || c_Finite__Set_Ofinite(u,v)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),c_Set_Oimage(x,y,z),w,tc_fun(z,tc_bool)),z)*.
% 299.97/300.58 102610[0:SpR:256.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v_x),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.58 102625[0:SpR:34.0,26903.1] || hBOOL(c_in(v_x,c_Fun_Ofun__upd(u,v_x,v,w,x),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v))).
% 299.97/300.58 102701[0:SpR:90441.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v_x),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.58 102896[0:Res:102864.1,79861.0] class_Orderings_Olinorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,u),c_False)** -> equal(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.58 103415[0:SpR:102900.1,35.0] class_Orderings_Olinorder(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.58 103462[0:SSi:103461.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Orderings_Olinorder(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 103533[0:SSi:103528.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(u,v),tc_fun(w,tc_bool)),x))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),y),x))*.
% 299.97/300.58 103556[0:Res:102762.2,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u)))*.
% 299.97/300.58 103593[0:Res:102766.2,86811.0] class_Orderings_Otop(u) class_Orderings_Olinorder(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u)))*.
% 299.97/300.58 103632[0:Res:102923.2,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u)))*.
% 299.97/300.58 103682[0:Res:102927.2,86811.0] class_Orderings_Obot(u) class_Orderings_Olinorder(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u)))*.
% 299.97/300.58 103731[0:SpR:613.0,103531.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(w,v),tc_fun(tc_Hoare__Mirabelle_Otriple(y),tc_bool)),y)*.
% 299.97/300.58 103748[0:Res:103724.0,599.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w) -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(x,v),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.58 103750[0:Res:103725.0,599.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(v),w),x) -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(w,v),tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)),x)*.
% 299.97/300.58 103899[0:SSi:103898.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) -> .
% 299.97/300.58 103901[0:SSi:103900.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) -> .
% 299.97/300.58 103934[2:Res:3790.1,49352.0] || hBOOL(c_in(u,hAPP(c_fequal(v),w),v))* equal(hAPP(hAPP(c_Set_Oinsert(w,v),x),u),c_False)** -> .
% 299.97/300.58 103942[0:Res:3790.1,12715.0] || hBOOL(c_in(c_False,hAPP(c_fequal(tc_bool),u),tc_bool)) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),c_False)**.
% 299.97/300.58 104562[0:Res:104116.0,13885.0] || -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_HOL_Ominus__class_Ominus(hAPP(c_fequal(v),w),tc_fun(v,tc_bool)),u,tc_fun(v,tc_bool)),v)*.
% 299.97/300.58 104647[0:Res:4138.1,21899.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Set_Oinsert(w,x),v,tc_fun(y,tc_bool)),w))*.
% 299.97/300.58 104649[0:Res:6094.1,21899.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_Set_Oinsert(v,w),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.58 104653[0:Res:4251.1,21899.0] class_Orderings_Obot(u) || -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_Set_Oinsert(v,w),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.58 104665[0:Res:44148.1,21899.0] || equal(c_False,u) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_lessequals(tc_bool),u),c_Set_Oinsert(v,w),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.58 104672[0:Res:104638.0,86811.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_lessequals(tc_bool),c_False),c_Set_Oinsert(u,v),w,tc_fun(x,tc_bool))))*.
% 299.97/300.58 104675[0:Res:104638.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_lessequals(tc_bool),c_False),c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),u),v,tc_fun(w,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 104679[0:Res:104668.0,86811.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_Set_Oinsert(u,v),w,tc_fun(x,tc_bool))))*.
% 299.97/300.58 104682[0:Res:104668.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),u),v,tc_fun(w,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 104686[0:Res:104648.0,86811.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_Set_Oinsert(u,w),x,tc_fun(y,tc_bool))))*.
% 299.97/300.58 104689[0:Res:104648.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 104805[0:Res:1397.0,12715.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(u,v,c_False,w,x),y,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)))),c_False)**.
% 299.97/300.58 105031[0:Res:4280.1,4393.1] class_Finite__Set_Ofinite_Ofinite(u) || c_Fun_Oinj__on(v,w,x,u)* -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),w),y),x)*.
% 299.97/300.58 105068[0:MRR:105060.1,84930.0] || c_Fun_Oinj__on(c_COMBK(u,v,w),x,w,v)* -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),x),y),w)*.
% 299.97/300.58 105165[0:Res:4280.1,105077.0] || c_Fun_Oinj__on(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,tc_bool,tc_bool)* -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),v),w),tc_bool)*.
% 299.97/300.58 105215[0:Res:4280.1,105078.0] || c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,tc_bool,tc_bool)* -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),v),w),tc_bool)*.
% 299.97/300.58 105512[0:Res:4280.1,105075.0] || c_Fun_Oinj__on(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,tc_bool,tc_bool)* -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),v),w),tc_bool)*.
% 299.97/300.58 105580[0:Res:4280.1,105076.0] || c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,tc_bool,tc_bool)* -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),v),w),tc_bool)*.
% 299.97/300.58 106002[0:SpL:256.0,73923.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v_x),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.58 106017[0:SpL:34.0,73923.1] || hBOOL(c_in(v_x,c_Fun_Ofun__upd(u,v_x,v,w,x),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),c_False)) -> .
% 299.97/300.58 106093[0:SpL:90441.0,73923.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v_x),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.58 106245[0:SpR:106169.0,593.0] || -> c_Wellfounded_OwfP(c_COMBK(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),tc_fun(tc_fun(v,tc_bool),tc_bool),tc_fun(v,tc_bool)),tc_fun(v,tc_bool))*.
% 299.97/300.58 106249[0:SpR:106169.0,20170.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(u,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 106251[0:SpR:106169.0,20255.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(u,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 106257[0:SpR:106169.0,706.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),w,tc_fun(v,tc_bool),tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)))**.
% 299.97/300.58 106263[0:SpR:106169.0,3649.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),w,tc_fun(v,tc_bool),tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,x))**.
% 299.97/300.58 106270[0:SpR:106169.0,699.0] || -> equal(hAPP(c_Set_Oinsert(u,tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_fun(v,tc_bool))),hAPP(c_fequal(tc_fun(v,tc_bool)),u))**.
% 299.97/300.58 106315[2:SpL:106169.0,49257.0] || equal(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(u,tc_bool))),w),c_False)** -> .
% 299.97/300.58 106316[0:SpL:106169.0,4389.0] || equal(hAPP(c_lessequals(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(u,tc_bool))),c_COMBK(c_False,tc_bool,w))* -> .
% 299.97/300.58 106339[0:SpL:106169.0,4445.2] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.58 106340[0:SpL:106169.0,4440.2] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.58 106341[0:SpL:106169.0,4402.2] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.58 106477[0:SpR:106281.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),w,x),hAPP(c_Set_Oinsert(y,w),z)),x))*.
% 299.97/300.58 106738[0:SpR:5228.0,106169.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))*.
% 299.97/300.58 106804[0:SpL:5228.0,666.0] || hBOOL(c_in(u,c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,x).
% 299.97/300.58 106821[0:SpL:5228.0,694.1] || hBOOL(hAPP(u,v))* equal(u,c_SetInterval_Oord__class_OatLeastAtMost(w,x,tc_fun(tc_Hoare__Mirabelle_Otriple(y),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(x,w,y).
% 299.97/300.58 106842[0:SSi:106723.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))*.
% 299.97/300.58 106928[0:SpR:106423.0,593.0] || -> c_Wellfounded_OwfP(c_COMBK(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),tc_fun(tc_fun(v,tc_bool),tc_bool),tc_fun(v,tc_bool)),tc_fun(v,tc_bool))*.
% 299.97/300.58 106932[0:SpR:106423.0,20170.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(u,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 106934[0:SpR:106423.0,20255.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(u,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 106940[0:SpR:106423.0,706.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),w,tc_fun(v,tc_bool),tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)))**.
% 299.97/300.58 106946[0:SpR:106423.0,3649.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),w,tc_fun(v,tc_bool),tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,x))**.
% 299.97/300.58 106953[0:SpR:106423.0,699.0] || -> equal(hAPP(c_Set_Oinsert(u,tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(v,tc_bool))),hAPP(c_fequal(tc_fun(v,tc_bool)),u))**.
% 299.97/300.58 106997[2:SpL:106423.0,49257.0] || equal(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(u,tc_bool))),w),c_False)** -> .
% 299.97/300.58 106998[0:SpL:106423.0,4389.0] || equal(hAPP(c_lessequals(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(u,tc_bool))),c_COMBK(c_False,tc_bool,w))* -> .
% 299.97/300.58 107021[0:SpL:106423.0,4445.2] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.58 107022[0:SpL:106423.0,4440.2] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.58 107023[0:SpL:106423.0,4402.2] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)))* -> .
% 299.97/300.58 107088[0:SSi:107076.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,hAPP(c_fequal(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(u,w,v).
% 299.97/300.58 107090[0:SSi:107077.1,107077.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w).
% 299.97/300.58 107123[0:SpR:106967.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),w,x),hAPP(c_Set_Oinsert(y,w),z)),x))*.
% 299.97/300.58 107244[0:SSi:107219.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,hAPP(c_fequal(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,u,v).
% 299.97/300.58 107245[0:SSi:107220.1,107220.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(v,u,w).
% 299.97/300.58 107313[0:Res:36.1,15236.2] class_Lattices_Olattice(u) class_Orderings_Obot(u) class_Orderings_Oorder(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),v),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.58 107342[0:Res:87827.1,15236.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Obot(u) class_Orderings_Oorder(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Obot__class_Obot(u)),u),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.58 107343[0:Res:87839.1,15236.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Obot(u) class_Orderings_Oorder(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Obot__class_Obot(u)),u),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.58 107344[0:Res:37.1,15236.2] class_Lattices_Olattice(u) class_Orderings_Obot(u) class_Orderings_Oorder(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.58 107598[0:Res:228.1,15248.2] class_Lattices_Olattice(u) class_Orderings_Otop(u) class_Orderings_Oorder(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),v),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.58 107600[0:Res:229.1,15248.2] class_Lattices_Olattice(u) class_Orderings_Otop(u) class_Orderings_Oorder(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.58 108713[0:SSi:108700.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))),u))* -> .
% 299.97/300.58 108714[0:SSi:108699.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))),v))* -> .
% 299.97/300.58 108748[0:SSi:108736.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)))))* -> .
% 299.97/300.58 108749[0:SSi:108735.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)))))* -> .
% 299.97/300.58 109290[0:SpL:613.0,108008.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),w)))),v))* -> .
% 299.97/300.58 109489[0:SpL:613.0,108272.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),w)))))* -> .
% 299.97/300.58 110023[0:SpR:79862.1,464.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)))*.
% 299.97/300.58 110144[0:SpL:79862.1,2191.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))))* -> .
% 299.97/300.58 110160[0:SpL:79862.1,106337.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** equal(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))** -> .
% 299.97/300.58 110161[0:SpL:79862.1,107019.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))** -> .
% 299.97/300.58 110178[0:SpL:79862.1,8269.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),c_False)** equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),v)* -> c_Hoare__Mirabelle_Ohoare__derivs(v,w,u)*.
% 299.97/300.58 110367[0:Res:110363.1,21899.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_False,c_Set_Oinsert(v,w),u,tc_fun(x,tc_bool)),v))*.
% 299.97/300.58 111072[2:SpL:50422.1,84874.0] || hBOOL(u) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)))* -> c_Finite__Set_Ofinite(v,tc_bool).
% 299.97/300.58 111073[0:SpL:13733.1,84874.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool)))* -> equal(v,c_False) c_Finite__Set_Ofinite(u,tc_bool).
% 299.97/300.58 111167[0:SSi:111130.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))** c_Finite__Set_Ofinite(u,tc_bool).
% 299.97/300.58 111168[0:SSi:111105.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool),u,tc_fun(tc_bool,tc_bool)))* -> c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_bool,tc_bool)),u),tc_bool).
% 299.97/300.58 111723[0:SpR:61329.1,111110.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.58 111901[0:SSi:111823.2,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || equal(c_Orderings_Otop__class_Otop(u),c_False) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),v))*.
% 299.97/300.58 111902[0:SSi:111822.2,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Lattices_Olattice(u) class_Lattices_Obounded__lattice(u) || equal(c_Orderings_Otop__class_Otop(u),c_False) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),v))*.
% 299.97/300.58 111903[0:SSi:111821.2,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Lattices_Olower__semilattice(u) class_Lattices_Obounded__lattice(u) || equal(c_Orderings_Otop__class_Otop(u),c_False) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),v))*.
% 299.97/300.58 112010[0:SpR:29743.1,111157.0] || equal(c_False,u) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.58 112011[0:SpR:29195.1,111157.0] || equal(c_False,u) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.58 112155[0:SSi:112079.2,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || equal(c_Orderings_Obot__class_Obot(u),c_False) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),v))*.
% 299.97/300.58 112156[0:SSi:112078.2,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Lattices_Olattice(u) class_Lattices_Obounded__lattice(u) || equal(c_Orderings_Obot__class_Obot(u),c_False) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),v))*.
% 299.97/300.58 112157[0:SSi:112077.2,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Lattices_Oupper__semilattice(u) class_Lattices_Obounded__lattice(u) || equal(c_Orderings_Obot__class_Obot(u),c_False) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),v))*.
% 299.97/300.58 112330[0:SpR:62049.0,941.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),u,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool),v,w),c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.58 112373[0:SpL:256.0,99791.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v_x),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.58 112388[0:SpL:34.0,99791.1] || hBOOL(c_in(v_x,c_Fun_Ofun__upd(u,v_x,v,w,x),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v)) -> .
% 299.97/300.58 112467[0:SpL:90441.0,99791.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v_x),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.58 112534[0:SpR:712.1,101820.1] class_Orderings_Oorder(t_a) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x))))*.
% 299.97/300.58 112544[0:SpR:712.1,101821.1] class_Orderings_Oorder(t_a) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x))))*.
% 299.97/300.58 112560[0:SpR:62049.0,1412.0] || -> hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool),hAPP(c_Set_Oimage(c_Set_Oimage(u,v,tc_bool),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.58 112573[0:SpR:712.1,101822.1] class_Orderings_Oorder(t_a) class_Lattices_Olattice(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x))))*.
% 299.97/300.58 112583[0:SpR:712.1,101823.1] class_Orderings_Oorder(t_a) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x))))*.
% 299.97/300.58 112593[0:SpR:712.1,101824.1] class_Orderings_Oorder(t_a) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x))))*.
% 299.97/300.58 112603[0:SpR:712.1,101825.1] class_Orderings_Oorder(t_a) class_Orderings_Oorder(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x))))*.
% 299.97/300.58 112628[0:SpR:712.1,101826.1] class_Orderings_Oorder(t_a) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x))))*.
% 299.97/300.58 112638[2:SpL:712.1,102170.0] class_Orderings_Oorder(t_a) || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,t_a),v_x),u),v)),c_False)** -> .
% 299.97/300.58 112649[2:SpL:3333.0,102170.0] || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),hAPP(hAPP(c_fequal(t_a),v_x),v_x)))),c_False)** -> .
% 299.97/300.58 112664[2:SpL:405.0,102170.0] || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_fequal(t_a),v_x),u,v),hAPP(c_Set_Oinsert(v_x,u),w))),c_False)** -> .
% 299.97/300.58 112852[2:SpR:50422.1,111162.1] class_Lattices_Oupper__semilattice(u) || hBOOL(v) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.58 112853[0:SpR:13733.1,111162.1] class_Lattices_Oupper__semilattice(u) || -> equal(v,c_False) c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.58 112898[2:SpR:50422.1,111163.1] class_Lattices_Olower__semilattice(u) || hBOOL(v) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.58 112899[0:SpR:13733.1,111163.1] class_Lattices_Olower__semilattice(u) || -> equal(v,c_False) c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.58 1065[0:SpR:278.1,35.0] class_Lattices_Obounded__lattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),v,c_Orderings_Otop__class_Otop(u),w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)))**.
% 299.97/300.58 1082[0:SpR:186.1,35.0] class_Lattices_Obounded__lattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),v,c_Orderings_Obot__class_Obot(u),w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)))**.
% 299.97/300.58 1172[0:SpR:691.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oimage(u,v,w),c_COMBK(c_False,tc_bool,v),c_COMBK(c_False,tc_bool,w),x,y),c_Set_Oimage(u,v,w))**.
% 299.97/300.58 1422[0:SpR:187.1,248.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.58 1416[0:SpR:277.1,248.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.58 1409[0:SpR:540.1,248.0] class_Orderings_Obot(u) || -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w))*.
% 299.97/300.58 1408[0:SpR:443.1,248.0] class_Orderings_Otop(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w))*.
% 299.97/300.58 1407[0:SpR:707.0,248.0] || -> hBOOL(c_in(c_COMBK(c_False,tc_bool,u),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.58 1396[0:SpR:18.1,248.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.58 1395[0:SpR:366.1,248.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.58 1391[0:SpR:712.1,248.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),hAPP(c_Set_Oimage(c_fequal(u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.58 1457[0:SpR:611.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(u,v),w),hAPP(c_Set_Oinsert(u,v),w),x,y),c_Set_Oinsert(u,v))**.
% 299.97/300.58 1555[0:SpR:684.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),x))*.
% 299.97/300.58 1535[0:SpR:728.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_COMBC(c_fequal(u),u,u,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),hAPP(c_fequal(u),x)))*.
% 299.97/300.58 1534[0:SpR:418.1,1430.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(u,w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),v))*.
% 299.97/300.58 1583[0:Rew:251.0,1582.1] || hBOOL(hAPP(hAPP(u,c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_COMBC(u,v,w,x),y))),y))* -> hBOOL(hAPP(hAPP(u,c_False),y)).
% 299.97/300.58 1584[0:Rew:251.0,1576.0] || hBOOL(hAPP(hAPP(u,c_False),v)) -> hBOOL(hAPP(hAPP(u,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_COMBC(u,w,x,y),v))),v))*.
% 299.97/300.58 1595[0:SpR:1581.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_fequal(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(hAPP(c_fequal(u),y),v)))*.
% 299.97/300.58 1679[0:SpR:280.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))*.
% 299.97/300.58 1726[0:SpR:1119.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_COMBK(c_False,tc_bool,u)))*.
% 299.97/300.58 2171[0:SpR:2160.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),x))*.
% 299.97/300.58 2669[0:SpR:712.1,757.0] class_Orderings_Oorder(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),w),hAPP(c_Set_Oinsert(v,u),w))**.
% 299.97/300.58 2679[0:SSi:2668.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),hAPP(c_fequal(v),u)),w)),hAPP(c_fequal(v),u))**.
% 299.97/300.58 2680[0:SSi:2667.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),hAPP(c_fequal(v),u))),hAPP(c_fequal(v),u))**.
% 299.97/300.58 2681[0:SSi:2656.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),hAPP(c_Set_Oinsert(v,u),w)),hAPP(c_fequal(u),v))**.
% 299.97/300.58 2741[0:Res:2707.1,599.0] || hBOOL(c_in(u,v,tc_Hoare__Mirabelle_Otriple(w)))* c_Hoare__Mirabelle_Ohoare__derivs(x,v,w)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(w)),u),w)*.
% 299.97/300.58 2742[0:Res:156.1,530.0] class_Orderings_Olinorder(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w))* c_Hoare__Mirabelle_Ohoare__derivs(v,w,u).
% 299.97/300.58 2905[0:Res:518.2,530.0] class_Orderings_Olinorder(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w))* c_Hoare__Mirabelle_Ohoare__derivs(v,w,u).
% 299.97/300.58 2925[0:SpR:1523.1,1430.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(v,u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)))*.
% 299.97/300.58 2961[0:SpL:11.1,370.1] class_Lattices_Olattice(u) class_Lattices_Obounded__lattice(u) || equal(v,c_Orderings_Obot__class_Obot(u)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.58 2960[0:SpL:2367.1,370.1] class_Lattices_Olattice(u) class_Lattices_Obounded__lattice(u) || equal(v,c_Orderings_Obot__class_Obot(u)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.58 3054[0:SpL:3.1,22.1] class_Lattices_Olattice(u) class_Lattices_Obounded__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(u)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.58 3052[0:SpL:2281.1,22.1] class_Lattices_Olattice(u) class_Lattices_Obounded__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(u)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.58 3355[0:SpR:712.1,2651.0] class_Orderings_Oorder(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)),hAPP(c_Set_Oinsert(w,u),v))**.
% 299.97/300.58 3509[0:Res:1384.0,1473.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),x)),w,u)*.
% 299.97/300.58 3542[0:Res:1384.0,1485.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),x)),x,u)*.
% 299.97/300.58 3624[0:SpR:712.1,3333.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_Set_Oinsert(v,u),hAPP(c_fequal(u),w)),hAPP(c_Set_Oinsert(w,u),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)))*.
% 299.97/300.58 3803[0:Res:475.1,1152.0] || hBOOL(c_in(u,v,w))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),x),c_COMBK(c_False,tc_bool,w))** -> .
% 299.97/300.58 3916[0:Res:474.1,1152.0] || hBOOL(c_in(u,v,w))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),v),c_COMBK(c_False,tc_bool,w))** -> .
% 299.97/300.58 3921[0:SpL:712.1,3815.0] class_Orderings_Oorder(u) || hBOOL(c_in(v,c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),u))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(w,u),x),v))*.
% 299.97/300.58 4019[0:Res:1562.1,1141.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)))),c_False))*.
% 299.97/300.58 4018[0:Res:1561.1,1141.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)))),c_False))*.
% 299.97/300.58 4483[0:SpR:34.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,y,z,x1),w,x2),v),y))*.
% 299.97/300.58 4476[0:SpR:256.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u),w,y),v),u))*.
% 299.97/300.58 4603[0:SpL:1014.1,4436.0] class_Orderings_Oorder(u) || equal(c_Fun_Ofun__upd(c_fequal(u),v,w,x,y),c_fequal(u))** -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w)*.
% 299.97/300.58 4602[0:SpL:1000.1,4436.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_fequal(u),v),w,x,y),c_Complete__Lattice_OSup__class_OSup(u))** -> equal(v,w).
% 299.97/300.58 4601[0:SpL:998.1,4436.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_fequal(u),v),w,x,y),c_Complete__Lattice_OInf__class_OInf(u))** -> equal(v,w).
% 299.97/300.58 4857[0:Res:1430.0,4686.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_Set_Oimage(w,x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)))),c_False))*.
% 299.97/300.58 4805[0:SpL:1461.0,4686.0] || hBOOL(hAPP(c_fequal(u),v)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),c_Set_Oinsert(v,u)),c_False))*.
% 299.97/300.58 4803[0:SpL:2678.0,4686.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),u)),c_False))*.
% 299.97/300.58 4773[0:SpL:685.0,4686.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u)),c_False))*.
% 299.97/300.58 4758[0:SpL:2659.0,4686.0] || hBOOL(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),c_Set_Oinsert(x,u)),c_False))*.
% 299.97/300.58 4739[0:SpL:34.0,4686.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),c_Fun_Ofun__upd(x,y,u,z,x1)),c_False))*.
% 299.97/300.58 5138[0:Obv:5129.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OatLeastLessThan(w,v,u)).
% 299.97/300.58 5139[0:SSi:5135.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(u,v) -> equal(c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_fun(v,tc_bool)))* c_Finite__Set_Ofinite(w,v).
% 299.97/300.58 5190[0:SpL:5136.1,4402.2] class_Orderings_Oorder(u) class_Lattices_Obounded__lattice(v) class_Lattices_Olower__semilattice(v) || equal(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(v)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u))* -> .
% 299.97/300.58 5189[0:SpL:5136.1,4440.2] class_Orderings_Oorder(u) class_Lattices_Obounded__lattice(v) class_Lattices_Olattice(v) || equal(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(v)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u))* -> .
% 299.97/300.58 5188[0:SpL:5136.1,4445.2] class_Orderings_Oorder(u) class_Lattices_Obounded__lattice(v) class_Lattices_Oupper__semilattice(v) || equal(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(v)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u))* -> .
% 299.97/300.58 5155[0:SpR:5136.1,1034.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(u),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),c_Orderings_Otop__class_Otop(u),w,x),c_Complete__Lattice_OInf__class_OInf(u))**.
% 299.97/300.58 5154[0:SpR:5136.1,1032.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(u),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),c_Orderings_Obot__class_Obot(u),w,x),c_Complete__Lattice_OSup__class_OSup(u))**.
% 299.97/300.58 5210[0:SpR:5198.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.58 5227[0:SSi:5225.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(u,v) -> equal(c_SetInterval_Oord__class_OatLeastAtMost(w,u,tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))* c_Finite__Set_Ofinite(w,v).
% 299.97/300.58 5268[0:Obv:5259.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,v,u),c_COMBK(c_False,tc_bool,u)).
% 299.97/300.58 5269[0:SSi:5265.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(u,v) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))* c_Finite__Set_Ofinite(w,v).
% 299.97/300.58 5322[0:SpL:5266.1,4402.2] class_Orderings_Oorder(u) class_Lattices_Obounded__lattice(v) class_Lattices_Olower__semilattice(v) || equal(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(v)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u))* -> .
% 299.97/300.58 5321[0:SpL:5266.1,4440.2] class_Orderings_Oorder(u) class_Lattices_Obounded__lattice(v) class_Lattices_Olattice(v) || equal(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(v)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u))* -> .
% 299.97/300.58 5320[0:SpL:5266.1,4445.2] class_Orderings_Oorder(u) class_Lattices_Obounded__lattice(v) class_Lattices_Oupper__semilattice(v) || equal(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(v)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u))* -> .
% 299.97/300.58 5286[0:SpR:5266.1,1034.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),c_Orderings_Otop__class_Otop(u),w,x),c_Complete__Lattice_OInf__class_OInf(u))**.
% 299.97/300.58 5285[0:SpR:5266.1,1032.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),c_Orderings_Obot__class_Obot(u),w,x),c_Complete__Lattice_OSup__class_OSup(u))**.
% 299.97/300.58 5339[0:SpR:5331.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.58 5401[0:SSi:5384.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w).
% 299.97/300.58 5470[0:SSi:5454.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v),w).
% 299.97/300.58 5572[0:SSi:5551.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),v),v).
% 299.97/300.58 5713[0:SSi:5698.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),v).
% 299.97/300.58 5773[0:SSi:5763.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(w,tc_bool)))* c_Finite__Set_Ofinite(u,w) -> c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(w,tc_bool)),v),w)*.
% 299.97/300.58 5849[0:SSi:5837.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(w,tc_bool)))* c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(w,tc_bool)),v),w)* -> c_Finite__Set_Ofinite(u,w).
% 299.97/300.58 5904[0:Obv:5900.0] class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w)** -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),w)**.
% 299.97/300.58 5906[0:SSi:5902.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w)** hBOOL(hAPP(v,x))* -> hBOOL(hAPP(w,x))*.
% 299.97/300.58 5954[0:Obv:5949.0] class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v)** -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),v)**.
% 299.97/300.58 5956[0:SSi:5952.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),v)** hBOOL(hAPP(v,x))* -> hBOOL(hAPP(w,x))*.
% 299.97/300.58 6031[0:SSi:6030.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x)),x)** -> hBOOL(c_in(u,x,v)).
% 299.97/300.58 6150[0:SpR:613.0,2648.1] || hBOOL(hAPP(hAPP(c_fequal(u),v),w)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(x,u),hAPP(c_Set_Oinsert(v,u),y)),w))*.
% 299.97/300.58 6142[0:SpR:613.0,2650.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),hAPP(c_Set_Oinsert(w,u),hAPP(c_Set_Oinsert(v,u),x))))*.
% 299.97/300.58 7540[0:SSi:7534.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(u,c_COMBK(c_False,tc_bool,v)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),u),w),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.58 7541[0:SSi:7533.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(u,c_COMBK(c_False,tc_bool,v)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),u),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.58 8366[0:SpR:613.0,6015.0] || -> hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Set_Oinsert(x,v),hAPP(c_Set_Oinsert(u,v),y))),v))*.
% 299.97/300.58 8771[0:Res:41.1,738.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8770[0:Res:37.1,738.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8763[0:Res:232.1,738.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8762[0:Res:229.1,738.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8761[0:Res:233.1,738.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8760[0:Res:228.1,738.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8747[0:Res:42.1,738.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8746[0:Res:36.1,738.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8790[0:SSi:8769.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Set_Oinsert(u,v),w),hAPP(c_fequal(v),u),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))**.
% 299.97/300.58 8791[0:SSi:8765.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),v,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 299.97/300.58 8792[0:SSi:8764.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 299.97/300.58 8820[0:SpR:8783.0,747.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_COMBK(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),tc_fun(tc_bool,tc_bool),w),w,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool))**.
% 299.97/300.58 8819[0:SpR:8783.0,744.0] || -> equal(c_Product__Type_OSigma(u,c_COMBK(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),tc_fun(tc_bool,tc_bool),w),w,tc_bool),c_COMBK(c_False,tc_bool,tc_prod(w,tc_bool)))**.
% 299.97/300.58 8926[0:Res:41.1,737.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8925[0:Res:37.1,737.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8918[0:Res:232.1,737.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8917[0:Res:229.1,737.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8916[0:Res:233.1,737.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8915[0:Res:228.1,737.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8902[0:Res:42.1,737.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8901[0:Res:36.1,737.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 8945[0:SSi:8924.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(c_Set_Oinsert(u,v),w),hAPP(c_fequal(v),u),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))**.
% 299.97/300.58 8946[0:SSi:8920.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),v,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 299.97/300.58 8947[0:SSi:8919.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 299.97/300.58 8954[0:SpR:8825.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.58 8993[0:SpR:8938.0,747.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_COMBK(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),tc_fun(tc_bool,tc_bool),w),w,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool))**.
% 299.97/300.58 8992[0:SpR:8938.0,744.0] || -> equal(c_Product__Type_OSigma(u,c_COMBK(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),tc_fun(tc_bool,tc_bool),w),w,tc_bool),c_COMBK(c_False,tc_bool,tc_prod(w,tc_bool)))**.
% 299.97/300.58 9074[0:SpL:2651.0,427.0] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),w),x))* -> hBOOL(hAPP(w,x)) hBOOL(hAPP(hAPP(c_fequal(v),u),x)).
% 299.97/300.58 9115[0:SpR:8998.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.58 9544[0:SpR:770.0,194.1] || c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_fequal(v),w)),v)* -> c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(w,v),u),v).
% 299.97/300.58 9641[0:SpR:9425.0,747.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_COMBK(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),tc_fun(tc_bool,tc_bool),w),w,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool))**.
% 299.97/300.58 9640[0:SpR:9425.0,744.0] || -> equal(c_Product__Type_OSigma(u,c_COMBK(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),tc_fun(tc_bool,tc_bool),w),w,tc_bool),c_COMBK(c_False,tc_bool,tc_prod(w,tc_bool)))**.
% 299.97/300.58 9874[0:SpR:9725.0,747.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_COMBK(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),tc_fun(tc_bool,tc_bool),w),w,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool))**.
% 299.97/300.58 9873[0:SpR:9725.0,744.0] || -> equal(c_Product__Type_OSigma(u,c_COMBK(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),tc_fun(tc_bool,tc_bool),w),w,tc_bool),c_COMBK(c_False,tc_bool,tc_prod(w,tc_bool)))**.
% 299.97/300.58 10474[0:SpR:8858.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 10516[0:SpR:9032.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 10606[0:Res:26.1,528.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w))* c_Hoare__Mirabelle_Ohoare__derivs(v,x,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(w,x,u)*.
% 299.97/300.58 10702[0:Res:26.1,527.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w))* c_Hoare__Mirabelle_Ohoare__derivs(x,w,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,v,u)*.
% 299.97/300.58 10723[0:SpR:9690.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 10747[0:SpR:9924.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 10965[0:Res:4249.1,768.0] || hBOOL(u) -> equal(hAPP(c_Set_Oimage(c_COMBK(v,w,x),x,w),c_COMBK(u,y,z)),hAPP(c_fequal(w),v))**.
% 299.97/300.58 11188[0:Res:1273.2,755.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.58 11187[0:Res:1293.2,755.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.58 11186[0:Res:1313.2,755.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.58 11176[0:Res:1276.2,755.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.58 11175[0:Res:1294.2,755.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.58 11174[0:Res:1310.2,755.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.58 11221[0:SSi:11214.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))** -> .
% 299.97/300.58 11222[0:SSi:11213.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))** -> .
% 299.97/300.58 11224[0:SSi:11181.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),u,tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))** -> .
% 299.97/300.58 12216[0:SpR:276.1,233.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),w))))*.
% 299.97/300.58 12215[0:SpR:276.1,228.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),w))))*.
% 299.97/300.58 12194[0:SpR:276.1,366.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),u),v)),hAPP(c_Complete__Lattice_OSup__class_OSup(u),v))**.
% 299.97/300.58 12276[0:Obv:12192.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),u),v)),hAPP(c_Complete__Lattice_OSup__class_OSup(u),v))**.
% 299.97/300.58 12283[0:SSi:12231.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),tc_fun(u,tc_bool)),v)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))**.
% 299.97/300.58 12284[0:SSi:12211.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(u,tc_bool)),w))))*.
% 299.97/300.58 12285[0:SSi:12208.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(u,v)) -> hBOOL(hAPP(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(w,tc_bool)),hAPP(c_Set_Oinsert(u,tc_fun(w,tc_bool)),x)),v))*.
% 299.97/300.58 12495[0:SpR:125.1,42.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),w))),v))*.
% 299.97/300.58 12494[0:SpR:125.1,36.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),w))),v))*.
% 299.97/300.58 12485[0:SpR:125.1,18.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),u),v)),hAPP(c_Complete__Lattice_OInf__class_OInf(u),v))**.
% 299.97/300.58 12557[0:Obv:12483.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),u),v)),hAPP(c_Complete__Lattice_OInf__class_OInf(u),v))**.
% 299.97/300.58 12560[0:SSi:12537.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(u,tc_bool)),w)),x))* -> hBOOL(hAPP(v,x)).
% 299.97/300.58 12565[0:SSi:12515.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool)),v)),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.58 12594[0:SpR:12550.0,361.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) -> hBOOL(c_in(w,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v,x),u),x))*.
% 299.97/300.58 12644[0:SpR:12624.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),w,x),v),x))*.
% 299.97/300.58 12704[0:Rew:714.1,12694.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,hAPP(c_fequal(u),w),u))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w).
% 299.97/300.58 12710[0:SpR:12544.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(c_False,tc_bool),u),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_False))*.
% 299.97/300.58 12736[0:SpR:12718.0,361.1] || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_False),u,v)) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u),w))*.
% 299.97/300.58 12748[0:SpR:12731.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u,v)) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u),w))*.
% 299.97/300.58 12762[0:SpR:12625.0,4377.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 12824[0:Rew:710.1,12814.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,hAPP(c_fequal(u),w),u))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),w).
% 299.97/300.58 13005[0:SpR:12637.0,4377.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v,x),u),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 13094[0:Rew:5556.3,13081.2] class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || equal(v,w) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v))* equal(w,v).
% 299.97/300.58 13349[0:SSi:13311.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),v)))* equal(hAPP(c_Set_Oinsert(w,u),v),v).
% 299.97/300.58 13530[0:SpR:13510.0,361.1] || hBOOL(c_in(hAPP(c_lessequals(tc_bool),c_False),u,v)) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u),w))*.
% 299.97/300.58 13542[0:SpR:13517.0,361.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.58 13602[0:SSi:13577.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),v)),c_False))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),c_False).
% 299.97/300.58 13624[0:SpR:13619.0,4377.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u),c_False))*.
% 299.97/300.58 13664[0:SpL:774.1,286.1] || hBOOL(c_in(u,hAPP(c_fequal(v),w),v))* hBOOL(c_in(u,x,v))* -> hBOOL(c_in(w,x,v))*.
% 299.97/300.58 13761[0:SpL:13374.1,4585.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w,x),c_Complete__Lattice_OSup__class_OSup(tc_bool))** -> equal(u,c_False) equal(v,c_False).
% 299.97/300.58 13888[0:Res:253.1,106.0] || hBOOL(hAPP(u,v))* c_Finite__Set_Ofinite(hAPP(w,v),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,w,y,tc_fun(x,tc_bool)),x)*.
% 299.97/300.58 15488[0:SSi:15455.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(u,hAPP(c_Set_Oinsert(c_False,tc_bool),v),tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v)))*.
% 299.97/300.58 15492[0:SpR:15481.0,361.1] || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_False),u,v)) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),u),w))*.
% 299.97/300.58 15538[0:SpR:15484.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u,v)) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),u),w))*.
% 299.97/300.58 15775[0:Res:221.3,13695.0] class_Orderings_Olinorder(tc_bool) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,tc_bool))* c_Finite__Set_Ofinite(u,tc_bool) -> equal(c_Finite__Set_Olinorder__class_OMax(u,tc_bool),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.58 16089[0:MRR:14978.2,16088.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,x),u)),w))*.
% 299.97/300.58 16133[0:SSi:16115.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),tc_bool))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)).
% 299.97/300.58 16380[0:SpR:8799.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),x))*.
% 299.97/300.58 16518[0:SpL:759.0,23.0] || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),u)* -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w),u).
% 299.97/300.58 16812[0:SpR:8972.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),x))*.
% 299.97/300.58 17101[0:Res:412.1,530.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w))* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(u)),w),v,u)*.
% 299.97/300.58 17270[0:Rew:411.0,17254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),x))))*.
% 299.97/300.58 17253[0:Res:237.0,413.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),hAPP(c_Set_Oinsert(x,u),v))))*.
% 299.97/300.58 17687[0:SpR:9620.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),x))*.
% 299.97/300.58 18038[0:SpR:9853.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),x))*.
% 299.97/300.58 18764[0:SpR:12282.1,248.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.58 18930[0:SpR:12564.1,248.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.58 19040[0:Res:1441.1,10583.0] || c_Hoare__Mirabelle_Ohoare__derivs(c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(u)),v,u) -> c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),u)*.
% 299.97/300.58 19268[0:Obv:19245.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x))))*.
% 299.97/300.58 19627[0:Obv:19604.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),v))))*.
% 299.97/300.58 19631[0:SSi:19600.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),v))))*.
% 299.97/300.58 19806[0:Obv:19789.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x))),x))*.
% 299.97/300.58 19808[0:Rew:25.1,19807.1] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x))),w))*.
% 299.97/300.58 19864[0:SpR:3333.0,12684.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)))),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)))**.
% 299.97/300.58 20228[0:Res:2648.1,20047.0] || hBOOL(hAPP(hAPP(c_fequal(u),v),c_Orderings_Otop__class_Otop(tc_bool))) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,u),w)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20193[0:Res:428.1,20047.0] || hBOOL(hAPP(u,c_Orderings_Otop__class_Otop(tc_bool))) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20192[0:Res:429.1,20047.0] || hBOOL(hAPP(u,c_Orderings_Otop__class_Otop(tc_bool))) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20190[0:Res:1546.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_fun(u,tc_bool)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20150[0:SpL:149.0,20047.0] || hBOOL(hAPP(u,hAPP(v,c_Orderings_Otop__class_Otop(tc_bool)))) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_COMBB(u,v,w,x,y)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20149[0:SpL:424.0,20047.0] || hBOOL(hAPP(u,hAPP(v,c_Orderings_Otop__class_Otop(tc_bool)))) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Fun_Ocomp(u,v,w,x,y)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20086[0:SpL:708.0,20047.0] || hBOOL(c_COMBK(c_False,tc_bool,u)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.58 20278[0:SpR:20243.0,4377.1] || hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u,v)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),u),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 20293[0:SpR:20154.0,4377.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 20321[0:SpR:20206.0,4377.1] || hBOOL(c_in(hAPP(c_lessequals(tc_bool),u),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 20336[0:SpR:20242.0,4377.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.58 21980[0:Res:13340.0,352.0] || hBOOL(c_in(c_False,u,v)) -> equal(w,c_False) hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_HOL_Oord__class_Oless(tc_bool),v,tc_fun(x,tc_bool)),w))*.
% 299.97/300.58 21888[0:Res:495.1,352.0] class_Orderings_Opreorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.58 21887[0:Res:494.1,352.0] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.58 21886[0:Res:1279.1,352.0] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.58 21885[0:Res:1319.1,352.0] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.58 21884[0:Res:1811.1,352.0] class_Lattices_Olattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.58 21883[0:Res:2901.1,352.0] class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.58 21844[0:SpL:1916.0,352.0] || hBOOL(u) hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,tc_fun(x,tc_bool)),u))*.
% 299.97/300.58 22346[0:SpR:405.0,6010.0] || -> hBOOL(c_in(hAPP(u,v),hAPP(c_Set_Oinsert(w,x),hAPP(c_Set_Oimage(u,y,x),hAPP(c_Set_Oinsert(v,y),z))),x))*.
% 299.97/300.58 22328[0:SpR:405.0,2652.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oimage(u,v,tc_Hoare__Mirabelle_Otriple(w)),hAPP(c_Set_Oinsert(x,v),y)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(w)),hAPP(u,x)),w)*.
% 299.97/300.58 22327[0:SpR:405.0,1374.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oimage(u,v,tc_Hoare__Mirabelle_Otriple(w)),hAPP(c_Set_Oinsert(x,v),y)),hAPP(c_Set_Oimage(u,v,tc_Hoare__Mirabelle_Otriple(w)),y),w)*.
% 299.97/300.59 23106[0:Obv:22960.1] class_Lattices_Obounded__lattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),z),z)**.
% 299.97/300.59 23107[0:Obv:22957.1] class_Lattices_Obounded__lattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),z),z)**.
% 299.97/300.59 23108[0:Obv:22948.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),hAPP(v,z))),z),z)**.
% 299.97/300.59 23289[0:SpL:472.0,1429.0] || equal(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oimage(x,y,v),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)))),c_COMBK(c_False,tc_bool,w))** -> .
% 299.97/300.59 23544[0:SpR:8816.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oimage(u,tc_bool,v),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool),c_COMBK(c_False,tc_bool,v),x,y),c_Set_Oimage(u,tc_bool,v))**.
% 299.97/300.59 23673[0:SpR:8989.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oimage(u,tc_bool,v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool),c_COMBK(c_False,tc_bool,v),x,y),c_Set_Oimage(u,tc_bool,v))**.
% 299.97/300.59 23922[0:SSi:23914.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(u,v_x)),hAPP(v,v_x)))* -> hBOOL(hAPP(u,v_x)) hBOOL(hAPP(v,v_x)).
% 299.97/300.59 24603[0:SpR:24543.0,361.1] || hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),w,y),v),y))*.
% 299.97/300.59 24717[0:SpR:9637.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oimage(u,tc_bool,v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool),c_COMBK(c_False,tc_bool,v),x,y),c_Set_Oimage(u,tc_bool,v))**.
% 299.97/300.59 24767[0:SpR:9870.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oimage(u,tc_bool,v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool),c_COMBK(c_False,tc_bool,v),x,y),c_Set_Oimage(u,tc_bool,v))**.
% 299.97/300.59 24839[0:SpR:803.2,12544.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False)) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),c_False)**.
% 299.97/300.59 24929[0:Rew:8825.0,24840.2] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),c_False)**.
% 299.97/300.59 24936[0:MRR:24842.1,12623.0] class_Orderings_Olinorder(tc_bool) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_Orderings_Otop__class_Otop(tc_bool),tc_bool)))**.
% 299.97/300.59 25050[0:SpR:802.2,8988.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* -> equal(hAPP(c_fequal(tc_bool),u),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)).
% 299.97/300.59 26298[0:SpR:411.0,6015.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Set_Oinsert(u,w),y))),w))*.
% 299.97/300.59 26253[0:SpR:411.0,428.1] || hBOOL(hAPP(u,v)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),u)),v))*.
% 299.97/300.59 26560[0:SpR:410.0,429.1] || hBOOL(hAPP(u,v)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u),y)),v))*.
% 299.97/300.59 27380[0:SSi:27357.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))** -> equal(u,c_False).
% 299.97/300.59 28067[0:SSi:28057.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)))*.
% 299.97/300.59 28068[0:SSi:28056.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v)))*.
% 299.97/300.59 28406[0:SpR:326.1,26483.0] || hBOOL(c_in(v_x,u,v)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Set_Oinsert(v_x,t_a),w),v,tc_bool),u)))*.
% 299.97/300.59 28741[0:SpR:28267.1,248.0] || equal(c_False,u) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.59 28810[0:SSi:28780.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u),c_False) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),u)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u))**.
% 299.97/300.59 28958[0:SpR:28269.1,248.0] || equal(c_False,u) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.59 29033[0:Obv:29014.1] || equal(c_False,u) c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)),z),z)**.
% 299.97/300.59 29205[0:SpR:28270.1,1403.0] || equal(c_False,u) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.59 29190[0:SpR:28270.1,4013.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,u,tc_bool))),c_False))*.
% 299.97/300.59 29185[0:SpR:28270.1,5267.0] || equal(c_False,u) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool),tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.59 29184[0:SpR:28270.1,5137.0] || equal(c_False,u) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool),tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.59 29174[0:SpR:28270.1,1119.0] || equal(c_False,u) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool))**.
% 299.97/300.59 29173[0:SpR:28270.1,1091.0] || equal(c_False,u) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool)),w),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool))**.
% 299.97/300.59 29754[0:SpR:28271.1,1403.0] || equal(c_False,u) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.59 29738[0:SpR:28271.1,4013.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,u,tc_bool))),c_False))*.
% 299.97/300.59 29733[0:SpR:28271.1,5267.0] || equal(c_False,u) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool),tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.59 29732[0:SpR:28271.1,5137.0] || equal(c_False,u) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool),tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.59 29722[0:SpR:28271.1,1119.0] || equal(c_False,u) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool))**.
% 299.97/300.59 29721[0:SpR:28271.1,1091.0] || equal(c_False,u) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool)),w),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool))**.
% 299.97/300.59 33062[0:SSi:33050.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))* -> equal(c_Orderings_Otop__class_Otop(tc_bool),v) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),u))*.
% 299.97/300.59 35671[0:SSi:35659.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* -> equal(c_Orderings_Otop__class_Otop(tc_bool),v) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.59 36916[0:SSi:36810.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),u)),v)*.
% 299.97/300.59 37246[0:Obv:37121.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),v))))*.
% 299.97/300.59 37423[0:SpR:28268.1,26165.1] || equal(c_False,v_x) hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u))*.
% 299.97/300.59 37416[0:SpR:28269.1,26165.1] || equal(c_False,u) hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.59 37379[0:SpR:540.1,26165.1] class_Orderings_Obot(u) || hBOOL(c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.59 37378[0:SpR:443.1,26165.1] class_Orderings_Otop(u) || hBOOL(c_in(v_x,c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.59 37372[0:SpR:678.0,26165.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(v_x,tc_fun(u,tc_bool)),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),c_COMBK(c_False,tc_bool,u)))*.
% 299.97/300.59 37347[0:SpR:18.1,26165.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.59 37344[0:SpR:366.1,26165.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.59 37334[0:SpR:712.1,26165.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,c_fequal(u),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u)))*.
% 299.97/300.59 37482[0:SSi:37444.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(v_x,u,t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),hAPP(u,v_x))))*.
% 299.97/300.59 37629[0:Obv:37518.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x))),x))*.
% 299.97/300.59 38663[0:SSi:38467.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),u),x)),v)*.
% 299.97/300.59 39260[0:Obv:39026.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x))))*.
% 299.97/300.59 39802[0:Obv:39612.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x))),w))*.
% 299.97/300.59 42631[0:SpR:28268.1,26440.1] || equal(c_False,v_x) hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))*.
% 299.97/300.59 42624[0:SpR:28269.1,26440.1] || equal(c_False,u) hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.59 42586[0:SpR:540.1,26440.1] class_Orderings_Obot(u) || hBOOL(c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Obot__class_Obot(u)),v))*.
% 299.97/300.59 42585[0:SpR:443.1,26440.1] class_Orderings_Otop(u) || hBOOL(c_in(v_x,c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(u)),v))*.
% 299.97/300.59 42579[0:SpR:678.0,26440.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(v_x,tc_fun(u,tc_bool)),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_COMBK(c_False,tc_bool,u)),v))*.
% 299.97/300.59 42554[0:SpR:18.1,26440.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.59 42551[0:SpR:366.1,26440.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.59 42541[0:SpR:712.1,26440.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,c_fequal(u),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u)),v))*.
% 299.97/300.59 42678[0:SSi:42668.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(v_x,u,t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(u,v_x)),w)))*.
% 299.97/300.59 43746[0:Rew:7095.0,43696.1] || -> hBOOL(c_in(u,v,w)) equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(w),u),tc_fun(w,tc_bool)),v),hAPP(c_fequal(w),u))**.
% 299.97/300.59 44696[0:SSi:44677.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(u,v),c_False) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool)),v))* equal(v,c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool)).
% 299.97/300.59 44697[0:SSi:44670.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),c_False)** -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool)),w))*.
% 299.97/300.59 44698[0:SSi:44669.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),c_False)** -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool)),v))*.
% 299.97/300.59 44838[0:SpL:167.1,44668.0] class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_False),v),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_bool),c_False).
% 299.97/300.59 44837[0:SpL:168.1,44668.0] class_Lattices_Olattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_False),v),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_bool),c_False).
% 299.97/300.59 44835[0:SpL:1597.1,44668.0] class_Orderings_Oorder(u) || equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,u),v),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_fequal(u),v),tc_bool),c_False).
% 299.97/300.59 44833[0:SpL:342.1,44668.0] class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_False),v),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_bool),c_False).
% 299.97/300.59 44832[0:SpL:343.1,44668.0] class_Lattices_Olattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_False),v),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_bool),c_False).
% 299.97/300.59 44906[0:Rew:2578.1,44792.1] class_Orderings_Oorder(u) || equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,u),v),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),tc_bool),c_False)**.
% 299.97/300.59 44787[0:SpL:2578.1,44668.0] class_Orderings_Oorder(u) || equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_False),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_fequal(u),v),tc_bool),c_False).
% 299.97/300.59 45359[0:Res:87.2,142.0] || c_Finite__Set_Ofold__graph(u,v,w,x,y,z)* -> hBOOL(c_in(x1,w,y)) c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(x1,y),w),y)*.
% 299.97/300.59 46456[0:SpR:104.2,8814.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* -> equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,v,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,v,tc_bool))*.
% 299.97/300.59 46436[0:SpR:104.2,678.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> equal(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),c_COMBK(c_False,tc_bool,u))*.
% 299.97/300.59 46535[0:Rew:8803.0,46505.2] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* -> equal(c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool))*.
% 299.97/300.59 46536[0:Rew:8976.0,46504.2] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool))*.
% 299.97/300.59 46537[0:Rew:9624.0,46503.2] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* -> equal(c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool))*.
% 299.97/300.59 46538[0:Rew:9857.0,46502.2] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool))*.
% 299.97/300.59 47830[2:Res:47802.1,352.0] || hBOOL(u) hBOOL(c_in(c_False,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Oord__class_Oless(tc_bool),w,tc_fun(x,tc_bool)),u))*.
% 299.97/300.59 49245[2:Res:474.1,47875.1] || hBOOL(c_in(u,v,w)) equal(c_in(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),v),w),c_False)** -> .
% 299.97/300.59 49244[2:Res:475.1,47875.1] || hBOOL(c_in(u,v,w)) equal(c_in(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),x),w),c_False)** -> .
% 299.97/300.59 49241[2:Res:361.1,47875.1] || hBOOL(c_in(u,v,w)) equal(c_in(hAPP(x,u),hAPP(c_Set_Oimage(x,w,y),v),y),c_False)** -> .
% 299.97/300.59 49173[2:Res:29.2,47875.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* equal(hAPP(hAPP(c_lessequals(u),v),w),c_False) -> .
% 299.97/300.59 49172[2:Res:28.2,47875.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* equal(hAPP(hAPP(c_lessequals(u),v),w),c_False) -> .
% 299.97/300.59 49138[2:Res:4009.2,47875.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_False),c_False)** -> .
% 299.97/300.59 49137[2:Res:4010.2,47875.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || equal(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_False),c_False)** -> .
% 299.97/300.59 49136[2:Res:4011.2,47875.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_False),c_False)** -> .
% 299.97/300.59 49101[2:Res:4528.1,47875.1] || hBOOL(c_in(c_False,u,v)) equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v,x),u),c_False),c_False)** -> .
% 299.97/300.59 49100[2:Res:4820.1,47875.1] class_Orderings_Olinorder(u) || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_lessequals(u),x)),c_False),c_False)** -> .
% 299.97/300.59 49099[2:Res:4821.1,47875.1] class_Lattices_Olattice(u) || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_lessequals(u),x)),c_False),c_False)** -> .
% 299.97/300.59 49098[2:Res:4822.1,47875.1] class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_lessequals(u),x)),c_False),c_False)** -> .
% 299.97/300.59 49097[2:Res:4823.1,47875.1] class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_lessequals(u),x)),c_False),c_False)** -> .
% 299.97/300.59 49096[2:Res:4824.1,47875.1] class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_lessequals(u),x)),c_False),c_False)** -> .
% 299.97/300.59 49095[2:Res:4825.1,47875.1] class_Orderings_Opreorder(u) || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_lessequals(u),x)),c_False),c_False)** -> .
% 299.97/300.59 49094[2:Res:4845.1,47875.1] class_Orderings_Otop(u) || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_lessequals(u),x)),c_False),c_False)** -> .
% 299.97/300.59 49093[2:Res:4785.1,47875.1] || hBOOL(u) equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),c_False),c_False)** -> .
% 299.97/300.59 49367[2:SpL:803.2,49051.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),w),c_False)** -> .
% 299.97/300.59 49366[2:SpL:802.2,49051.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),v),c_False)** -> .
% 299.97/300.59 49970[0:SSi:49951.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v)).
% 299.97/300.59 49971[0:SSi:49949.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),c_False))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),u))*.
% 299.97/300.59 50478[2:SpL:47834.1,4585.0] || hBOOL(u) equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w,x),c_Complete__Lattice_OSup__class_OSup(tc_bool))** -> equal(v,c_False).
% 299.97/300.59 53260[2:SpL:167.1,53092.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),c_False) -> .
% 299.97/300.59 53259[2:SpL:168.1,53092.0] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),c_False) -> .
% 299.97/300.59 53257[2:SpL:1597.1,53092.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w))* equal(hAPP(hAPP(c_fequal(u),w),v),c_False) -> .
% 299.97/300.59 53255[2:SpL:342.1,53092.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),c_False) -> .
% 299.97/300.59 53254[2:SpL:343.1,53092.0] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),c_False) -> .
% 299.97/300.59 53172[2:SpL:1597.1,53092.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_fequal(u),v),w))* equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),v),c_False)** -> .
% 299.97/300.59 53171[2:SpL:2578.1,53092.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_fequal(u),v),w))* equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w),c_False)** -> .
% 299.97/300.59 53170[2:SpL:2594.1,53092.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w))* equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),v),c_False)** -> .
% 299.97/300.59 53167[2:SpL:2578.1,53092.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w))* equal(hAPP(hAPP(c_fequal(u),v),w),c_False) -> .
% 299.97/300.59 54128[0:Rew:5527.2,53990.3,5674.2,53990.3,167.1,53990.3] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.59 54498[0:Rew:5371.2,54351.3,5441.2,54351.3,342.1,54351.3] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.59 54861[0:Rew:54857.2,54852.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),w)),v)**.
% 299.97/300.59 55266[0:Rew:54858.2,55156.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),w)),v)**.
% 299.97/300.59 58404[0:SSi:58386.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u)),v))*.
% 299.97/300.59 58405[0:SSi:58293.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),w)).
% 299.97/300.59 58406[0:SSi:58292.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),w)).
% 299.97/300.59 58636[0:SSi:58615.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),v))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),v).
% 299.97/300.59 58637[0:SSi:58612.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u)),v))*.
% 299.97/300.59 58690[0:SpR:54071.0,34556.1] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),u).
% 299.97/300.59 58653[0:SpR:54071.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),u))*.
% 299.97/300.59 58789[0:SSi:58768.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)))*.
% 299.97/300.59 58790[0:SSi:58679.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),w)).
% 299.97/300.59 58791[0:SSi:58678.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),w)).
% 299.97/300.59 59023[0:SSi:59001.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),u).
% 299.97/300.59 59024[0:SSi:58996.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)))*.
% 299.97/300.59 59040[0:SpR:54074.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),v))*.
% 299.97/300.59 59175[0:SSi:59156.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v)))*.
% 299.97/300.59 59176[0:SSi:59066.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),w)).
% 299.97/300.59 59177[0:SSi:59065.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w)).
% 299.97/300.59 59278[0:SSi:59258.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),u).
% 299.97/300.59 59279[0:SSi:59253.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v)))*.
% 299.97/300.59 59295[0:SpR:54075.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),v))*.
% 299.97/300.59 59743[0:SpR:54831.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),u))*.
% 299.97/300.59 59889[0:SSi:59870.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w)),v))*.
% 299.97/300.59 59890[0:SSi:59790.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v)).
% 299.97/300.59 59891[0:SSi:59789.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)).
% 299.97/300.59 60004[0:SSi:59981.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),u))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),u).
% 299.97/300.59 60005[0:SSi:59978.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w)),v))*.
% 299.97/300.59 61382[0:SpL:49966.1,4389.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),c_COMBK(c_False,tc_bool,v))* -> .
% 299.97/300.59 61341[0:SpR:49966.1,1539.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_False))*.
% 299.97/300.59 61310[0:SpR:49966.1,3649.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,tc_bool,tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w))**.
% 299.97/300.59 61305[0:SpR:49966.1,709.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(c_Product__Type_OSigma(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,tc_bool,w),c_COMBK(c_False,tc_bool,tc_prod(tc_bool,w)))**.
% 299.97/300.59 61304[0:SpR:49966.1,706.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,tc_bool,tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))**.
% 299.97/300.59 61303[0:SpR:49966.1,708.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))**.
% 299.97/300.59 61298[0:SpR:49966.1,20255.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 61296[0:SpR:49966.1,20170.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 62161[0:Rew:62049.0,29977.1] || equal(c_False,u) -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool),tc_bool,tc_bool),c_False)**.
% 299.97/300.59 62162[0:Rew:62049.0,29976.1] || equal(c_False,u) -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool),tc_bool,tc_bool),c_False)**.
% 299.97/300.59 62165[0:Rew:62049.0,29428.1] || equal(c_False,u) -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool),tc_bool,tc_bool),c_False)**.
% 299.97/300.59 62166[0:Rew:62049.0,29427.1] || equal(c_False,u) -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool),tc_bool,tc_bool),c_False)**.
% 299.97/300.59 62177[0:Rew:62049.0,10808.0] || -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),tc_bool,tc_bool),u),hAPP(c_fequal(tc_bool),c_False))**.
% 299.97/300.59 62178[0:Rew:62049.0,10809.0] || -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),tc_bool,tc_bool),u),hAPP(c_fequal(tc_bool),c_False))**.
% 299.97/300.59 62179[0:Rew:62049.0,10810.0] || -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),tc_bool,tc_bool),u),hAPP(c_fequal(tc_bool),c_False))**.
% 299.97/300.59 62180[0:Rew:62049.0,10811.0] || -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),tc_bool,tc_bool),u),hAPP(c_fequal(tc_bool),c_False))**.
% 299.97/300.59 63599[0:SpR:58781.1,35.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,c_Orderings_Otop__class_Otop(tc_bool),w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))**.
% 299.97/300.59 63969[0:SSi:63954.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u))),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)))**.
% 299.97/300.59 64018[0:SSi:64005.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)))**.
% 299.97/300.59 64103[0:SpR:59170.1,35.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u,c_Orderings_Otop__class_Otop(tc_bool),w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v))**.
% 299.97/300.59 64788[0:Rew:3.1,64787.1,168.1,64787.1,343.1,64787.1,2281.1,64787.1,168.1,64787.1] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)))*.
% 299.97/300.59 65081[0:SSi:65063.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u))),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)))**.
% 299.97/300.59 65139[0:SSi:65123.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)))**.
% 299.97/300.59 65618[0:Rew:11.1,65617.1,343.1,65617.1,168.1,65617.1,2367.1,65617.1,343.1,65617.1] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)))*.
% 299.97/300.59 68000[0:SpR:63959.0,54070.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u))),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)))**.
% 299.97/300.59 67951[0:SpR:63959.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)),u,v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u))**.
% 299.97/300.59 68121[0:SpR:65071.0,54440.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u))),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)))**.
% 299.97/300.59 68066[0:SpR:65071.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)),u,v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))**.
% 299.97/300.59 68961[0:SpR:64010.0,54070.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)))**.
% 299.97/300.59 68912[0:SpR:64010.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),u,v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u))**.
% 299.97/300.59 69088[0:SpR:65131.0,54440.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)))**.
% 299.97/300.59 69033[0:SpR:65131.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),u,v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))**.
% 299.97/300.59 69368[2:SSi:69349.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),w),v_x))),c_False)** -> .
% 299.97/300.59 69452[2:SSi:69441.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),v),v_x)),w)),c_False)** -> .
% 299.97/300.59 69467[2:SpL:61328.1,49258.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v),c_False)** -> .
% 299.97/300.59 70129[0:SpL:61331.1,62244.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(v,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,v,tc_bool))* -> .
% 299.97/300.59 70345[0:SpL:61331.1,62246.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(v,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))* -> .
% 299.97/300.59 71309[2:SSi:71285.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || hBOOL(u) equal(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))** -> .
% 299.97/300.59 71499[0:MRR:71397.2,935.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,v,tc_bool))*.
% 299.97/300.59 71649[0:SSi:71613.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.59 71650[0:SSi:71596.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),w,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.59 71708[0:SSi:71694.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.59 71766[0:SSi:71748.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),u)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.59 71767[0:SSi:71729.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.59 72105[0:SSi:72074.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.59 72582[0:MRR:72460.2,935.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,v,tc_bool))*.
% 299.97/300.59 73607[0:SSi:73489.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)))* equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),u)),v)**.
% 299.97/300.59 73680[0:SSi:73661.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),u))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)).
% 299.97/300.59 73681[0:SSi:73659.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(hAPP(c_fequal(t_a),v_x),v_x)))*.
% 299.97/300.59 74884[0:SpR:28268.1,73586.1] || equal(c_False,v_x) hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)).
% 299.97/300.59 74871[0:SpR:28269.1,73586.1] || equal(c_False,u) hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.59 74830[0:SpR:540.1,73586.1] class_Orderings_Obot(u) || hBOOL(c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),t_a)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.59 74829[0:SpR:443.1,73586.1] class_Orderings_Otop(u) || hBOOL(c_in(v_x,c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),t_a)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.59 74823[0:SpR:678.0,73586.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(v_x,tc_fun(u,tc_bool)),t_a)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_COMBK(c_False,tc_bool,u)))*.
% 299.97/300.59 74796[0:SpR:18.1,73586.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.59 74793[0:SpR:366.1,73586.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.59 74783[0:SpR:712.1,73586.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,c_fequal(u),t_a)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u)))*.
% 299.97/300.59 75605[0:SSi:75490.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v))**.
% 299.97/300.59 77131[0:SSi:77130.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),w)))),u)**.
% 299.97/300.59 77133[0:SSi:77132.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))),w)),u)**.
% 299.97/300.59 77234[0:SSi:77179.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))))* equal(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v)).
% 299.97/300.59 77398[0:SSi:77397.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),w)))),u)**.
% 299.97/300.59 77400[0:SSi:77399.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))),w)),u)**.
% 299.97/300.59 78911[0:SSi:78876.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* equal(c_False,v) -> equal(v,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w))*.
% 299.97/300.59 78912[0:SSi:78875.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* equal(c_False,v) -> equal(v,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u))*.
% 299.97/300.59 78917[0:SSi:78916.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v),c_False)** -> equal(w,u)*.
% 299.97/300.59 78919[0:SSi:78918.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w),c_False)** -> equal(v,u).
% 299.97/300.59 79510[0:SpL:540.1,78858.0] class_Orderings_Obot(u) || equal(c_Orderings_Obot__class_Obot(u),c_False) equal(c_False,v_x) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),tc_bool),v_x)**.
% 299.97/300.59 79509[0:SpL:443.1,78858.0] class_Orderings_Otop(u) || equal(c_Orderings_Otop__class_Otop(u),c_False) equal(c_False,v_x) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),tc_bool),v_x)**.
% 299.97/300.59 79495[0:SpL:678.0,78858.0] || equal(c_COMBK(c_False,tc_bool,u),c_False) equal(c_False,v) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),tc_bool),v)**.
% 299.97/300.59 79455[0:SpL:712.1,78858.0] class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_False)** equal(c_False,v) -> equal(v,c_Inductive_Ocomplete__lattice__class_Olfp(c_fequal(u),tc_bool)).
% 299.97/300.59 79968[0:Obv:79791.0] || equal(u,c_False) equal(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),c_False)** -> equal(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.59 79969[0:Obv:79785.0] || equal(u,c_False) equal(hAPP(c_fequal(tc_bool),u),c_False)** -> equal(hAPP(c_fequal(tc_bool),u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.59 79970[0:Obv:79784.1] || equal(c_False,u) equal(hAPP(c_lessequals(tc_bool),u),c_False)** -> equal(hAPP(c_lessequals(tc_bool),u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.59 80008[0:Obv:79557.2] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || equal(c_Orderings_Obot__class_Obot(u),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_bool),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.59 80009[0:Obv:79520.2] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || equal(c_Orderings_Otop__class_Otop(u),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_bool),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.59 80023[0:Obv:79665.1] class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_False) -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,u),tc_bool))*.
% 299.97/300.59 80030[0:Obv:79568.0] || equal(c_COMBK(c_False,tc_bool,u),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),tc_bool),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.59 80034[0:Obv:79550.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))**.
% 299.97/300.59 80307[0:Res:491.0,79861.0] || equal(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_False),c_False)** -> equal(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_False),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.59 81116[0:Obv:80996.0] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),u),v)),hAPP(c_Complete__Lattice_OSup__class_OSup(u),v))**.
% 299.97/300.59 81364[0:Obv:81280.0] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),u),v)),hAPP(c_Complete__Lattice_OInf__class_OInf(u),v))**.
% 299.97/300.59 81761[0:SpR:9868.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool))),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool))))*.
% 299.97/300.59 81760[0:SpR:8987.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool))),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool))))*.
% 299.97/300.59 81759[0:SpR:9635.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool))),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool))))*.
% 299.97/300.59 81758[0:SpR:8814.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool))),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool))))*.
% 299.97/300.59 81748[0:SpR:63990.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool))))*.
% 299.97/300.59 81704[0:SpR:20174.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),x))))*.
% 299.97/300.59 81629[0:SpR:714.1,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),c_Complete__Lattice_OSup__class_OSup(u)),hAPP(c_fequal(u),v))))*.
% 299.97/300.59 81628[0:SpR:710.1,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),c_Complete__Lattice_OInf__class_OInf(u)),hAPP(c_fequal(u),v))))*.
% 299.97/300.59 81542[0:SpR:367.1,24254.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.59 81540[0:SpR:12280.1,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.59 81535[0:SpR:677.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(u,tc_fun(x,tc_bool))),c_COMBK(c_False,tc_bool,x))))*.
% 299.97/300.59 81534[0:SpR:540.1,24254.0] class_Orderings_Obot(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Orderings_Obot__class_Obot(tc_fun(t_a,u))),v_x)))*.
% 299.97/300.59 81533[0:SpR:443.1,24254.0] class_Orderings_Otop(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Orderings_Otop__class_Otop(tc_fun(t_a,u))),v_x)))*.
% 299.97/300.59 81527[0:SpR:19.1,24254.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),c_Orderings_Otop__class_Otop(u))))*.
% 299.97/300.59 81525[0:SpR:12562.1,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),c_Orderings_Otop__class_Otop(u))))*.
% 299.97/300.59 81519[0:SpR:678.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(x,tc_fun(u,tc_bool))),x)))*.
% 299.97/300.59 81492[0:SpR:18.1,24254.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),v)))*.
% 299.97/300.59 81488[0:SpR:366.1,24254.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),v)))*.
% 299.97/300.59 81477[0:SpR:712.1,24254.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),hAPP(hAPP(c_Set_Oinsert(w,x),c_fequal(u)),v)))*.
% 299.97/300.59 82037[0:SSi:82025.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x),tc_bool)),c_False)))*.
% 299.97/300.59 82038[0:SSi:82024.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),u),tc_bool)),c_False)))*.
% 299.97/300.59 82064[0:SpR:82006.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Set_Oinsert(u,v),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.59 82125[0:SpR:82115.0,361.1] || hBOOL(c_in(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u,v)) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u),w))*.
% 299.97/300.59 83357[0:SpR:13526.1,22323.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(c_COMBK(u,x,y),v),z)),c_False))*.
% 299.97/300.59 83336[0:SpR:9868.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool),v),y)),u))*.
% 299.97/300.59 83335[0:SpR:8987.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool),v),y)),u))*.
% 299.97/300.59 83334[0:SpR:9635.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool),v),y)),u))*.
% 299.97/300.59 83333[0:SpR:8814.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool),v),y)),u))*.
% 299.97/300.59 83323[0:SpR:63990.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u),w)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.59 83320[0:SpR:13730.1,22323.0] || -> equal(u,c_False) hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v),x)),c_False))*.
% 299.97/300.59 83319[2:SpR:50419.1,22323.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v),x)),c_False))*.
% 299.97/300.59 83279[0:SpR:20174.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),x),u),y)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.59 83204[0:SpR:714.1,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,w),hAPP(c_Set_Oinsert(hAPP(c_fequal(u),x),v),y)),x))*.
% 299.97/300.59 83203[0:SpR:710.1,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,w),hAPP(c_Set_Oinsert(hAPP(c_fequal(u),x),v),y)),x))*.
% 299.97/300.59 83201[0:SpR:28268.1,22323.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w,x),hAPP(c_Set_Oinsert(u,w),y)),v))*.
% 299.97/300.59 83198[0:SpR:28267.1,22323.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w,x),hAPP(c_Set_Oinsert(u,w),y)),u))*.
% 299.97/300.59 83191[0:SpR:28266.1,22323.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(x,v),y)),u))*.
% 299.97/300.59 83187[0:SpR:28269.1,22323.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(x,v),y)),x))*.
% 299.97/300.59 83117[0:SpR:367.1,22323.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),w),y)),v))*.
% 299.97/300.59 83115[0:SpR:12280.1,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),w),y)),v))*.
% 299.97/300.59 83110[0:SpR:677.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w,x),hAPP(c_Set_Oinsert(c_COMBK(c_False,tc_bool,v),w),y)),u))*.
% 299.97/300.59 83109[0:SpR:540.1,22323.0] class_Orderings_Obot(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),v,w),hAPP(c_Set_Oinsert(v_x,v),x)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.59 83108[0:SpR:443.1,22323.0] class_Orderings_Otop(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v,w),hAPP(c_Set_Oinsert(v_x,v),x)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.59 83102[0:SpR:19.1,22323.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),w),y)),v))*.
% 299.97/300.59 83100[0:SpR:12562.1,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),w),y)),v))*.
% 299.97/300.59 83094[0:SpR:678.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w,x),hAPP(c_Set_Oinsert(u,w),y)),c_COMBK(c_False,tc_bool,v)))*.
% 299.97/300.59 83091[0:SpR:29202.1,22323.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w,x),hAPP(c_Set_Oinsert(y,w),z)),c_False))*.
% 299.97/300.59 83089[0:SpR:29751.1,22323.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w,x),hAPP(c_Set_Oinsert(y,w),z)),c_False))*.
% 299.97/300.59 83067[0:SpR:18.1,22323.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v,w),hAPP(c_Set_Oinsert(x,v),y)),x))*.
% 299.97/300.59 83063[0:SpR:366.1,22323.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v,w),hAPP(c_Set_Oinsert(x,v),y)),x))*.
% 299.97/300.59 83052[0:SpR:712.1,22323.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_fequal(u),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_SetInterval_Oord__class_OatLeastAtMost(x,x,u)))*.
% 299.97/300.59 83480[0:SpR:405.0,83095.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_False,tc_bool),u,v),hAPP(c_Set_Oimage(w,x,u),hAPP(c_Set_Oinsert(y,x),z))),c_False))*.
% 299.97/300.59 83730[0:SpR:21031.1,35.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.59 83757[0:SSi:83756.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),c_Complete__Lattice_OSup__class_OSup(tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 84393[0:Res:84168.1,352.0] || hBOOL(u) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.59 84404[0:SSi:84377.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)))*.
% 299.97/300.59 84405[0:SSi:84376.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)),v))*.
% 299.97/300.59 84406[0:SSi:84350.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)))*.
% 299.97/300.59 84459[0:Res:791.0,84358.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w,t_a)),t_a)* hBOOL(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v)).
% 299.97/300.59 84458[0:Res:792.0,84358.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w,t_a)),t_a)* hBOOL(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v)).
% 299.97/300.59 84457[0:Res:793.0,84358.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w,t_a)),t_a)* hBOOL(v_sko__Hoare__Mirabelle__Xescape__2(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v)).
% 299.97/300.59 84467[0:SSi:84450.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)).
% 299.97/300.59 84468[0:SSi:84449.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))* -> hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w)).
% 299.97/300.59 84469[0:SSi:84445.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)).
% 299.97/300.59 84522[0:Res:791.0,84362.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w,t_a)),t_a)* hBOOL(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v)).
% 299.97/300.59 84521[0:Res:792.0,84362.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w,t_a)),t_a)* hBOOL(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v)).
% 299.97/300.59 84520[0:Res:793.0,84362.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w,t_a)),t_a)* hBOOL(v_sko__Hoare__Mirabelle__Xescape__1(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v)).
% 299.97/300.59 84529[0:SSi:84513.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)).
% 299.97/300.59 84530[0:SSi:84508.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)).
% 299.97/300.59 84531[0:SSi:84489.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))* -> hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)).
% 299.97/300.59 84647[0:Res:84401.1,352.0] || hBOOL(u) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.59 84657[0:SSi:84631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v)))*.
% 299.97/300.59 84658[0:SSi:84630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u)),v))*.
% 299.97/300.59 84659[0:SSi:84629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v)))*.
% 299.97/300.59 84913[0:Res:156.1,15708.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v))* c_Finite__Set_Ofinite(v,u).
% 299.97/300.59 86614[0:Res:86274.1,768.0] || hBOOL(u) -> equal(hAPP(c_Set_Oimage(c_COMBK(v,w,x),x,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)),hAPP(c_fequal(w),v))**.
% 299.97/300.59 86640[0:SpR:86619.1,22323.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),x)),c_False))*.
% 299.97/300.59 86797[0:Rew:9556.0,86716.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),hAPP(c_Set_Oinsert(x,v),u))),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.59 87401[0:Res:2648.1,86811.0] || hBOOL(hAPP(hAPP(c_fequal(u),v),w))* hBOOL(w) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,u),x)))*.
% 299.97/300.59 87318[0:Res:2650.0,86811.0] || hBOOL(hAPP(c_Set_Oinsert(u,v),w))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(v,tc_bool)),hAPP(c_fequal(v),u))))*.
% 299.97/300.59 87305[0:Res:428.1,86811.0] || hBOOL(hAPP(u,v))* hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),u)))*.
% 299.97/300.59 87304[0:Res:429.1,86811.0] || hBOOL(hAPP(u,v))* hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u),x)))*.
% 299.97/300.59 87282[0:Res:1546.0,86811.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))*.
% 299.97/300.59 87271[0:Res:236.0,86811.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),v)))*.
% 299.97/300.59 87270[0:Res:237.0,86811.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),w)))*.
% 299.97/300.59 87181[0:SpL:12684.0,86811.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)) hBOOL(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OInf__class_OInf(tc_bool))).
% 299.97/300.59 87076[0:SpL:149.0,86811.0] || hBOOL(hAPP(u,hAPP(v,w)))* hBOOL(w) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_COMBB(u,v,x,y,z)))*.
% 299.97/300.59 87075[0:SpL:424.0,86811.0] || hBOOL(hAPP(u,hAPP(v,w)))* hBOOL(w) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Fun_Ocomp(u,v,x,y,z)))*.
% 299.97/300.59 86929[0:SpL:691.0,86811.0] || hBOOL(c_COMBK(c_False,tc_bool,u)) hBOOL(c_COMBK(c_False,tc_bool,v)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oimage(w,v,u)))*.
% 299.97/300.59 87726[0:Obv:87047.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v)))*.
% 299.97/300.59 87799[0:MRR:15035.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))))*.
% 299.97/300.59 87800[0:MRR:15050.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),u)),c_COMBK(c_False,tc_bool,v)))*.
% 299.97/300.59 87809[0:MRR:15092.2,87746.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(w,u),v)),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)))*.
% 299.97/300.59 87831[0:MRR:15063.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),u)),w))*.
% 299.97/300.59 87832[0:MRR:15027.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v)),u)),w))*.
% 299.97/300.59 87834[0:MRR:16438.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)),u)),w))*.
% 299.97/300.59 87835[0:MRR:16875.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)),u)),w))*.
% 299.97/300.59 87836[0:MRR:17751.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)),u)),w))*.
% 299.97/300.59 87837[0:MRR:18105.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)),u)),w))*.
% 299.97/300.59 87840[0:MRR:58747.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),u)),v))*.
% 299.97/300.59 87841[0:MRR:59135.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),u)),w))*.
% 299.97/300.59 87842[0:MRR:59400.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),u)),w))*.
% 299.97/300.59 87843[0:MRR:59851.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),u)),v))*.
% 299.97/300.59 87916[0:Res:87746.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.59 88559[0:SpR:22632.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(u,v,w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),hAPP(c_fequal(w),hAPP(u,z))))*.
% 299.97/300.59 88531[0:SpR:22632.0,4377.1] || hBOOL(c_in(u,hAPP(c_fequal(v),w),v))* -> hBOOL(hAPP(hAPP(c_fequal(x),hAPP(y,w)),hAPP(y,u)))*.
% 299.97/300.59 89048[0:SpR:13495.1,22324.0] || hBOOL(hAPP(u,c_False)) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(u,v),x)),w))*.
% 299.97/300.59 89029[0:SpR:19877.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u),w)),v))*.
% 299.97/300.59 88939[0:SpR:20155.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_fequal(w),c_Orderings_Otop__class_Otop(tc_bool)),u),x)),v))*.
% 299.97/300.59 88742[0:SpR:5302.1,22324.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,x),hAPP(c_Set_Oinsert(y,w),z)),x))*.
% 299.97/300.59 88740[0:SpR:5169.1,22324.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,x),hAPP(c_Set_Oinsert(y,w),z)),x))*.
% 299.97/300.59 88724[0:SpR:13738.1,22324.0] || -> equal(u,c_False) hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.59 88723[2:SpR:50431.1,22324.0] || hBOOL(u) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.59 88711[0:SpR:50.1,22324.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(v,w),y)),x))*.
% 299.97/300.59 88710[0:SpR:1919.1,22324.0] class_Lattices_Olattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(v,w),y)),x))*.
% 299.97/300.59 88709[0:SpR:12821.1,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(v,w),y)),x))*.
% 299.97/300.59 88708[0:SpR:255.1,22324.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(v,w),y)),x))*.
% 299.97/300.59 88707[0:SpR:1918.1,22324.0] class_Lattices_Olattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(v,w),y)),x))*.
% 299.97/300.59 88706[0:SpR:12701.1,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(v,w),y)),x))*.
% 299.97/300.59 88686[0:SpR:613.0,22324.0] || -> hBOOL(c_in(hAPP(u,v),hAPP(c_Set_Oimage(u,w,x),hAPP(c_Set_Oinsert(y,w),hAPP(c_Set_Oinsert(v,w),z))),x))*.
% 299.97/300.59 89335[0:Res:1410.0,85358.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))* -> hBOOL(u).
% 299.97/300.59 89528[0:Res:15156.0,107.0] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(w,v,x),u),tc_fun(x,tc_bool)),tc_fun(x,tc_bool)),x)*.
% 299.97/300.59 89710[0:SSi:89703.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),u),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))**.
% 299.97/300.59 89711[0:SSi:89702.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),u),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))**.
% 299.97/300.59 89841[0:SSi:89834.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),u),w),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))**.
% 299.97/300.59 89842[0:SSi:89833.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),u),w),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))**.
% 299.97/300.59 90550[0:SSi:90529.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))**.
% 299.97/300.59 90593[0:SpR:90441.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),u),w,y),v),u))*.
% 299.97/300.59 90722[0:Obv:90709.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),hAPP(v,z))),z),z)**.
% 299.97/300.59 91001[0:SSi:90981.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))**.
% 299.97/300.59 92467[0:SpR:28268.1,86793.0] || equal(c_False,v_x) -> equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)),v_x)),c_False)**.
% 299.97/300.59 92464[0:SpR:28267.1,86793.0] || equal(c_False,v_x) -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v)),v_x)),c_False)**.
% 299.97/300.59 92457[0:SpR:28266.1,86793.0] || equal(c_False,u) -> equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),v_x)),c_False)**.
% 299.97/300.59 92453[0:SpR:28269.1,86793.0] || equal(c_False,u) -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)),v_x)),c_False)**.
% 299.97/300.59 92413[0:SpR:540.1,86793.0] class_Orderings_Obot(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(u),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),c_Orderings_Obot__class_Obot(tc_fun(t_a,u))),v_x)),c_False)**.
% 299.97/300.59 92412[0:SpR:443.1,86793.0] class_Orderings_Otop(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(u),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),c_Orderings_Otop__class_Otop(tc_fun(t_a,u))),v_x)),c_False)**.
% 299.97/300.59 92406[0:SpR:678.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),c_HOL_Ominus__class_Ominus(v_x,tc_fun(u,tc_bool))),v_x)),c_False)**.
% 299.97/300.59 92379[0:SpR:18.1,86793.0] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),v_x)),c_False)**.
% 299.97/300.59 92375[0:SpR:366.1,86793.0] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),v_x)),c_False)**.
% 299.97/300.59 92364[0:SpR:712.1,86793.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),c_fequal(u)),v_x)),c_False)**.
% 299.97/300.59 92855[0:SpR:13619.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(u,tc_bool)),v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)))),c_False))*.
% 299.97/300.59 92842[0:SpR:12544.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(c_False,tc_bool),w))),c_False))*.
% 299.97/300.59 92661[0:SpR:90441.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),tc_fun(w,tc_bool)),x),v)),v))*.
% 299.97/300.59 92542[0:SpR:34.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Fun_Ofun__upd(u,v,w,x,y),tc_fun(z,tc_bool)),x1),v)),w))*.
% 299.97/300.59 92527[0:SpR:256.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),tc_fun(w,tc_bool)),x),v)),v))*.
% 299.97/300.59 92963[0:SSi:92962.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(u,v)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(w,tc_bool)),x),v)),hAPP(u,v))**.
% 299.97/300.59 92965[0:SSi:92964.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),x),hAPP(u,x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.59 93141[0:SpR:2651.0,54506.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),hAPP(c_fequal(u),v)),hAPP(c_fequal(u),v))**.
% 299.97/300.59 93201[0:Obv:93169.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u))))*.
% 299.97/300.59 93202[0:MRR:93176.0,927.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Orderings_Otop__class_Otop(tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 93523[0:Res:89278.2,20047.0] || hBOOL(c_in(c_False,c_Orderings_Otop__class_Otop(tc_bool),tc_bool))* hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_Orderings_Otop__class_Otop(tc_bool))) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.59 93734[0:Obv:93702.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w))))*.
% 299.97/300.59 93735[0:MRR:93709.0,927.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),v))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 93884[0:SSi:93837.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x))))*.
% 299.97/300.59 93979[0:SSi:93931.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w))))*.
% 299.97/300.59 94078[0:SSi:94024.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),u))))*.
% 299.97/300.59 94079[0:SSi:94003.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u))))*.
% 299.97/300.59 94180[0:SSi:94147.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),x))))* -> hBOOL(x).
% 299.97/300.59 94271[0:SSi:94232.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),tc_fun(x,tc_bool)),x))* -> hBOOL(c_in(u,w,x)).
% 299.97/300.59 94272[0:SSi:94231.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Fun_Oinj__on(u,v,w,x) -> c_Fun_Oinj__on(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),v),tc_fun(w,tc_bool)),w,x)*.
% 299.97/300.59 94388[0:SSi:94354.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),x))))* -> hBOOL(w).
% 299.97/300.59 94500[0:SSi:94455.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),u))))*.
% 299.97/300.59 94634[0:SSi:94608.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(u,v) -> equal(c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(w,tc_bool)))* equal(v,u).
% 299.97/300.59 95511[0:Res:1382.0,10618.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),u)),x),v)*.
% 299.97/300.59 95726[0:Res:1382.0,10619.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),u),w)),x),v)*.
% 299.97/300.59 95908[0:SpR:712.1,13635.1] class_Orderings_Oorder(u) || -> hBOOL(c_in(v,w,u)) equal(hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),w)**.
% 299.97/300.59 96086[0:Res:87828.1,738.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.59 96085[0:Res:87828.1,737.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.59 96181[0:Res:87846.1,738.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.59 96180[0:Res:87846.1,737.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.59 96321[0:SSi:96297.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),v)))*.
% 299.97/300.59 96322[0:SSi:96279.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),w))*.
% 299.97/300.59 96387[0:SSi:96368.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),v))*.
% 299.97/300.59 96453[0:SSi:96428.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),v)),w))*.
% 299.97/300.59 96454[0:SSi:96410.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),x))*.
% 299.97/300.59 96577[0:SSi:96497.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),u))),w))*.
% 299.97/300.59 96618[2:Res:13346.0,47875.1] || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_False)** -> equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v).
% 299.97/300.59 96812[0:SSi:96793.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),x))*.
% 299.97/300.59 96886[0:Res:87827.1,738.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.59 96885[0:Res:87827.1,737.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.59 96974[2:Res:13347.0,47875.1] || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v),c_False)** -> equal(v,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.59 96980[0:AED:250.0,96944.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_HOL_Oord__class_Oless(tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w))),c_False))*.
% 299.97/300.59 96988[0:Res:96907.0,10618.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),u)),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),v)*.
% 299.97/300.59 96987[0:Res:96907.0,10619.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),u),w)),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),v)*.
% 299.97/300.59 97047[0:Res:87839.1,738.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.59 97046[0:Res:87839.1,737.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.59 97097[0:Res:97067.0,10618.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),u)),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),v)*.
% 299.97/300.59 97096[0:Res:97067.0,10619.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),u),w)),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),v)*.
% 299.97/300.59 97104[0:SpL:1461.0,11219.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_fequal(u),v),hAPP(c_fequal(u),v),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))** -> .
% 299.97/300.59 97099[0:SpL:418.1,11219.0] || hBOOL(c_in(u,v,w))* equal(c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(w,tc_bool)))* -> .
% 299.97/300.59 97629[2:Res:24259.0,47875.1] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u),x),v)),c_False)** -> .
% 299.97/300.59 97346[0:SpR:12550.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),w),c_Orderings_Otop__class_Otop(tc_bool))))*.
% 299.97/300.59 97343[0:SpR:12624.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),w),u)))*.
% 299.97/300.59 97261[0:SpR:24543.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w),x)))*.
% 299.97/300.59 97645[0:SSi:97644.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x),hAPP(v,x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.59 97647[0:SSi:97646.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x),hAPP(v,x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.59 98139[2:Res:24260.0,47875.1] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),u),v)),c_False)** -> .
% 299.97/300.59 97856[0:SpR:12550.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),c_Orderings_Otop__class_Otop(tc_bool))))*.
% 299.97/300.59 97853[0:SpR:12624.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),u)))*.
% 299.97/300.59 97771[0:SpR:24543.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x)))*.
% 299.97/300.59 98155[0:SSi:98154.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x),hAPP(w,x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.59 98157[0:SSi:98156.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x),hAPP(w,x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.59 98165[0:Rew:97610.1,98120.1] || equal(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x),c_False)** -> equal(hAPP(v,x),hAPP(w,x)).
% 299.97/300.59 98202[2:Res:1392.0,47875.1] || equal(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x),c_False)** -> .
% 299.97/300.59 98306[2:Res:5045.2,47875.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* equal(hAPP(hAPP(c_lessequals(u),v),w),c_False) -> .
% 299.97/300.59 98503[0:SpR:418.1,12203.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,u))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),v),c_Orderings_Otop__class_Otop(u)).
% 299.97/300.59 98550[0:MRR:98518.3,5848.1] class_Orderings_Olinorder(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(u),u)),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.59 98564[2:SpL:613.0,49213.0] || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Set_Oinsert(v_x,t_a),v)),v_x))),c_False)** -> .
% 299.97/300.59 98595[0:SpR:64085.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.59 98647[0:SSi:98646.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 98719[0:SpL:613.0,73758.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Set_Oinsert(v_x,t_a),v)),v_x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.59 98743[0:SpL:613.0,73760.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Set_Oinsert(v_x,t_a),v)),v_x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.59 98800[0:SpR:418.1,12493.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,u))* -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),v),c_Orderings_Obot__class_Obot(u)).
% 299.97/300.59 98855[0:MRR:98814.3,5772.1] class_Orderings_Olinorder(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),v,u)),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.59 98916[0:Rew:956.0,98915.1] || equal(hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False)),v_x),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v_x,tc_bool),tc_bool),v_x).
% 299.97/300.59 98973[0:Rew:1916.0,98972.1] || equal(hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v_x)),v_x),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v_x,tc_bool),tc_bool),v_x).
% 299.97/300.59 99030[0:Rew:58351.0,99029.1] || equal(hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x)),v_x),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v_x,tc_bool),tc_bool),v_x).
% 299.97/300.59 99082[2:Res:13047.2,47875.1] class_Orderings_Obot(u) class_Orderings_Olinorder(u) || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),v),c_False)** -> equal(c_Orderings_Obot__class_Obot(u),v).
% 299.97/300.59 99490[2:Res:13059.2,47875.1] class_Orderings_Otop(u) class_Orderings_Olinorder(u) || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)),c_False)** -> equal(v,c_Orderings_Otop__class_Otop(u)).
% 299.97/300.59 99641[2:Res:13297.2,47875.1] class_Orderings_Obot(u) class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),v),c_False)** -> equal(v,c_Orderings_Obot__class_Obot(u)).
% 299.97/300.59 99654[0:Obv:99626.1] class_Orderings_Obot(u) class_Orderings_Oorder(u) || -> equal(v,c_Orderings_Obot__class_Obot(u)) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Obot__class_Obot(u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.59 99781[2:Res:13309.2,47875.1] class_Orderings_Otop(u) class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)),c_False)** -> equal(c_Orderings_Otop__class_Otop(u),v).
% 299.97/300.59 99786[0:Obv:99765.1] class_Orderings_Otop(u) class_Orderings_Oorder(u) || -> equal(c_Orderings_Otop__class_Otop(u),v) equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(u),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.59 99896[0:SSi:99875.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),w))*.
% 299.97/300.59 99897[0:SSi:99874.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w))*.
% 299.97/300.59 99991[2:Res:15143.2,47875.1] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u)),w),c_False)** -> .
% 299.97/300.59 100156[2:Res:15144.2,47875.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u)),w),c_False)** -> .
% 299.97/300.59 100266[0:MRR:100265.3,2970.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))* hBOOL(hAPP(hAPP(c_fequal(tc_bool),u),c_False)) -> .
% 299.97/300.59 100341[2:Res:87811.2,47875.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || equal(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),w),c_False)** -> .
% 299.97/300.59 100357[0:SSi:100318.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),tc_fun(v,tc_bool))),w)**.
% 299.97/300.59 100361[0:SSi:100307.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Olower__semilattice(u) || c_Hoare__Mirabelle_Ohoare__derivs(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x,w)* -> c_Hoare__Mirabelle_Ohoare__derivs(v,x,w).
% 299.97/300.59 100362[0:SSi:100306.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Olower__semilattice(u) || c_Hoare__Mirabelle_Ohoare__derivs(v,w,x) -> c_Hoare__Mirabelle_Ohoare__derivs(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)),x)*.
% 299.97/300.59 100542[0:SSi:100490.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),c_Orderings_Otop__class_Otop(tc_bool)))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),w),v))*.
% 299.97/300.59 100543[0:SSi:100489.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),c_Orderings_Otop__class_Otop(tc_bool)))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),w),u))*.
% 299.97/300.59 100625[2:Res:87814.2,47875.1] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || equal(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),w),c_False)** -> .
% 299.97/300.59 100641[0:SSi:100602.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),tc_fun(v,tc_bool))),w)**.
% 299.97/300.59 100645[0:SSi:100591.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Oupper__semilattice(u) || c_Hoare__Mirabelle_Ohoare__derivs(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x,w)* -> c_Hoare__Mirabelle_Ohoare__derivs(v,x,w).
% 299.97/300.59 100646[0:SSi:100590.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Oupper__semilattice(u) || c_Hoare__Mirabelle_Ohoare__derivs(v,w,x) -> c_Hoare__Mirabelle_Ohoare__derivs(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)),x)*.
% 299.97/300.59 100695[0:SSi:100673.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v))*.
% 299.97/300.59 100696[0:SSi:100671.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.59 101248[2:Res:1411.0,47875.1] || equal(c_in(hAPP(c_fequal(u),v),hAPP(c_Set_Oimage(c_Set_Oinsert(v,u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x),c_False)** -> .
% 299.97/300.59 101641[0:Res:26446.0,1141.0] || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_fequal(t_a),v_x)),v_x))),c_False))*.
% 299.97/300.59 101856[0:Res:14946.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_fequal(t_a),v_x),v_x),tc_bool),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))))*.
% 299.97/300.59 101846[0:Res:1506.1,101661.0] || hBOOL(c_in(hAPP(hAPP(c_fequal(t_a),v_x),v_x),u,v))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(w,v),u)))*.
% 299.97/300.59 101740[0:SpL:678.0,101661.0] || hBOOL(c_COMBK(c_False,tc_bool,u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_fequal(t_a),v_x),v_x),tc_fun(u,tc_bool))))*.
% 299.97/300.59 102588[0:Res:20526.0,13885.0] || -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(v,w),x),tc_fun(w,tc_bool)),u,tc_fun(w,tc_bool)),w)*.
% 299.97/300.59 102346[0:SpL:714.1,13885.0] class_Complete__Lattice_Ocomplete__lattice(u) || c_Finite__Set_Ofinite(v,w)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),c_Complete__Lattice_OSup__class_OSup(u),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.59 102345[0:SpL:710.1,13885.0] class_Complete__Lattice_Ocomplete__lattice(u) || c_Finite__Set_Ofinite(v,w)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),c_Complete__Lattice_OInf__class_OInf(u),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.59 102304[0:SpL:12624.0,13885.0] || c_Finite__Set_Ofinite(u,v)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.59 102268[0:SpL:12637.0,13885.0] || c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_bool),u) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v,tc_fun(u,tc_bool)),u)*.
% 299.97/300.59 102251[0:SpL:677.0,13885.0] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),c_HOL_Ominus__class_Ominus(u,tc_fun(x,tc_bool)),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.59 102222[0:SpL:24543.0,13885.0] || c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_bool),u) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),v,tc_fun(u,tc_bool)),u)*.
% 299.97/300.59 102616[0:SpR:50.1,26903.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x)))*.
% 299.97/300.59 102615[0:SpR:1919.1,26903.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x)))*.
% 299.97/300.59 102614[0:SpR:12821.1,26903.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x)))*.
% 299.97/300.59 102613[0:SpR:255.1,26903.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x)))*.
% 299.97/300.59 102612[0:SpR:1918.1,26903.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x)))*.
% 299.97/300.59 102611[0:SpR:12701.1,26903.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x)))*.
% 299.97/300.59 102847[0:Res:59165.0,24826.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)))*.
% 299.97/300.59 102846[0:Res:58777.0,24826.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))*.
% 299.97/300.59 102837[0:Res:5274.1,24826.1] class_Orderings_Oorder(u) class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,tc_fun(u,tc_bool)),w))*.
% 299.97/300.59 102836[0:Res:5143.1,24826.1] class_Orderings_Oorder(u) class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,tc_fun(u,tc_bool)),w))*.
% 299.97/300.59 102823[0:Res:87830.1,24826.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u),w,u),w))*.
% 299.97/300.59 102790[0:Res:13702.1,24826.1] class_Orderings_Olinorder(tc_fun(tc_bool,tc_bool)) || -> equal(u,c_False) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,tc_fun(tc_bool,tc_bool)),v))*.
% 299.97/300.59 102789[2:Res:50386.1,24826.1] class_Orderings_Olinorder(tc_fun(tc_bool,tc_bool)) || hBOOL(u) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,tc_fun(tc_bool,tc_bool)),v))*.
% 299.97/300.59 102767[0:Res:464.0,24826.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))*.
% 299.97/300.59 102758[0:Res:320.0,24826.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w),v,tc_fun(u,tc_bool)),v))*.
% 299.97/300.59 103033[0:Res:24254.0,25011.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(u,v),hAPP(hAPP(c_Set_Oinsert(w,x),u),v),tc_bool),hAPP(u,v)))*.
% 299.97/300.59 102975[0:Res:58395.0,25011.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),v,tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)))*.
% 299.97/300.59 102974[0:Res:28274.1,25011.1] class_Orderings_Olinorder(tc_bool) || equal(hAPP(u,v),c_False) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool),v,tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool)))*.
% 299.97/300.59 102969[0:Res:59787.0,25011.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),u,tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)))*.
% 299.97/300.59 102954[0:Res:9851.0,25011.1] class_Orderings_Olinorder(tc_fun(tc_bool,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)))*.
% 299.97/300.59 102953[0:Res:8970.0,25011.1] class_Orderings_Olinorder(tc_fun(tc_bool,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)))*.
% 299.97/300.59 102952[0:Res:9618.0,25011.1] class_Orderings_Olinorder(tc_fun(tc_bool,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)))*.
% 299.97/300.59 102951[0:Res:8797.0,25011.1] class_Orderings_Olinorder(tc_fun(tc_bool,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)))*.
% 299.97/300.59 102930[0:Res:676.0,25011.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_COMBK(c_False,tc_bool,u),v,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)))*.
% 299.97/300.59 103209[0:Res:102750.2,101661.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x),u)))*.
% 299.97/300.59 103260[0:Res:102754.2,101661.0] class_Orderings_Obot(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x),u)))*.
% 299.97/300.59 103379[0:Res:102935.2,101661.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_fequal(t_a),v_x),v_x),c_Orderings_Otop__class_Otop(u),u)))*.
% 299.97/300.59 103397[0:Res:102939.2,101661.0] class_Orderings_Otop(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_fequal(t_a),v_x),v_x),c_Orderings_Otop__class_Otop(u),u)))*.
% 299.97/300.59 103530[2:Res:87848.1,47875.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),u)),hAPP(c_Set_Oinsert(v,w),x)),c_False)** -> .
% 299.97/300.59 103537[0:SSi:103495.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(u,v),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x,w)* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,v),y),x,w)*.
% 299.97/300.59 103538[0:SSi:103494.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oinsert(v,w),x),y)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),tc_fun(tc_Hoare__Mirabelle_Otriple(y),tc_bool)),y)*.
% 299.97/300.59 103943[2:Res:3790.1,47875.1] || hBOOL(c_in(u,hAPP(c_fequal(v),w),v)) equal(c_in(u,hAPP(c_Set_Oinsert(w,v),x),v),c_False)** -> .
% 299.97/300.59 103917[0:SpR:1523.1,3790.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,hAPP(c_fequal(u),w),u))* -> hBOOL(c_in(v,c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),u))*.
% 299.97/300.59 103906[0:SpR:418.1,3790.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,hAPP(c_fequal(w),u),w))* -> hBOOL(c_in(x,v,w))*.
% 299.97/300.59 104610[0:SpL:64058.0,4436.0] || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u,v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))** -> equal(c_Orderings_Otop__class_Otop(tc_bool),u).
% 299.97/300.59 104664[0:Res:9619.0,21899.0] || -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),c_Set_Oinsert(v,w),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.59 104663[0:Res:9852.0,21899.0] || -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),c_Set_Oinsert(v,w),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.59 104662[0:Res:8971.0,21899.0] || -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),c_Set_Oinsert(v,w),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.59 104661[0:Res:101316.0,21899.0] || -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),c_Set_Oinsert(u,v),w,tc_fun(x,tc_bool)),u))*.
% 299.97/300.59 104655[0:Res:8798.0,21899.0] || -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),c_Set_Oinsert(v,w),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.59 104654[0:Res:4252.0,21899.0] || -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),c_Set_Oinsert(v,w),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.59 104627[0:Res:248.0,21899.0] || -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oimage(u,v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_Set_Oinsert(x,y),w,tc_fun(z,tc_bool)),x))*.
% 299.97/300.59 104806[2:Res:1397.0,47875.1] || equal(c_in(u,hAPP(c_Set_Oimage(c_Fun_Ofun__upd(v,w,u,x,y),z,x1),c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool))),x1),c_False)** -> .
% 299.97/300.59 105349[0:MRR:105306.0,1061.0] || c_Fun_Oinj__on(c_COMBK(u,v,w),hAPP(c_Set_Oinsert(x,w),y),w,v)* -> c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(x,w),y),w).
% 299.97/300.59 106008[0:SpL:50.1,73923.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.59 106007[0:SpL:1919.1,73923.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.59 106006[0:SpL:12821.1,73923.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.59 106005[0:SpL:255.1,73923.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.59 106004[0:SpL:1918.1,73923.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.59 106003[0:SpL:12701.1,73923.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.59 106279[0:SpR:106169.0,4013.0] || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_lessequals(tc_fun(tc_fun(w,tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_fun(w,tc_bool)))),c_False))*.
% 299.97/300.59 106482[0:SpR:106281.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),tc_fun(w,tc_bool)),x),y)),c_False))*.
% 299.97/300.59 106465[0:SpR:106281.0,4377.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_fun(y,tc_bool)),w,z),v),c_False))*.
% 299.97/300.59 106823[0:SpL:5228.0,4380.1] || hBOOL(u) equal(c_COMBK(u,v,w),c_SetInterval_Oord__class_OatLeastAtMost(x,y,tc_fun(tc_Hoare__Mirabelle_Otriple(z),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(y,x,z).
% 299.97/300.59 106820[0:SpL:5228.0,86616.1] || hBOOL(u) equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,x).
% 299.97/300.59 106806[0:SpL:5228.0,84930.0] || equal(u,c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,x) c_Finite__Set_Ofinite(u,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool))*.
% 299.97/300.59 106795[0:SpL:5228.0,7297.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool)))** -> c_Hoare__Mirabelle_Ohoare__derivs(v,u,w).
% 299.97/300.59 106736[0:SpR:5228.0,664.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) c_Finite__Set_Ofold__graph(x,y,c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),y,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),z)*.
% 299.97/300.59 106735[0:SpR:5228.0,663.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) c_Nitpick_Ofold__graph_H(x,y,c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),y,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),z)*.
% 299.97/300.59 106843[0:SSi:106790.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(w,x,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(x,w,v).
% 299.97/300.59 106962[0:SpR:106423.0,4013.0] || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_lessequals(tc_fun(tc_fun(w,tc_bool),tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_fun(w,tc_bool)))),c_False))*.
% 299.97/300.59 107128[0:SpR:106967.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),tc_fun(w,tc_bool)),x),y)),c_False))*.
% 299.97/300.59 107111[0:SpR:106967.0,4377.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_fun(y,tc_bool)),w,z),v),c_False))*.
% 299.97/300.59 109343[0:SSi:109327.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),tc_bool),w))),u))* -> .
% 299.97/300.59 109344[0:SSi:109326.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),tc_bool),w))),v))* -> .
% 299.97/300.59 109549[0:SSi:109533.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),tc_bool),w))))* -> .
% 299.97/300.59 109550[0:SSi:109532.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),tc_bool),w))))* -> .
% 299.97/300.59 110179[0:SpL:79862.1,1431.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),c_False) c_Hoare__Mirabelle_Ohoare__derivs(v,c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),u)* -> c_Hoare__Mirabelle_Ohoare__derivs(v,w,u)*.
% 299.97/300.59 110177[2:SpL:79862.1,49143.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** equal(hAPP(hAPP(c_Set_Oinsert(v,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),c_False),c_False)** -> .
% 299.97/300.59 110175[2:SpL:79862.1,50475.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** hBOOL(v) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))** -> .
% 299.97/300.59 110171[0:SpL:79862.1,5319.1] class_Orderings_Oorder(u) || equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_False)** equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))** -> .
% 299.97/300.59 110170[0:SpL:79862.1,5187.1] class_Orderings_Oorder(u) || equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_False)** equal(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))** -> .
% 299.97/300.59 110166[0:SpL:79862.1,4139.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** equal(v,c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))* -> equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v)*.
% 299.97/300.59 110164[2:SpL:79862.1,53118.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** equal(v,c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))* equal(hAPP(v,w),c_False)** -> .
% 299.97/300.59 110158[0:SpL:79862.1,89682.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),v))* -> .
% 299.97/300.59 110154[0:SpL:79862.1,13758.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))** -> equal(v,c_False).
% 299.97/300.59 110071[0:SpR:79862.1,13552.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))),c_False)**.
% 299.97/300.59 110069[0:SpR:79862.1,2659.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(hAPP(c_Set_Oinsert(v,u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))**.
% 299.97/300.59 110052[0:SpR:79862.1,102577.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),c_fequal(v),u,tc_fun(v,tc_bool)),v)*.
% 299.97/300.59 110042[0:SpR:79862.1,16121.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),w))*.
% 299.97/300.59 110041[0:SpR:79862.1,13544.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.59 110034[0:SpR:79862.1,3226.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),c_False))*.
% 299.97/300.59 110032[0:SpR:79862.1,44898.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),tc_bool),c_False)**.
% 299.97/300.59 110030[0:SpR:79862.1,2160.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),v),v)**.
% 299.97/300.59 110029[0:SpR:79862.1,1923.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),v)**.
% 299.97/300.59 110025[0:SpR:79862.1,357.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.59 110024[0:SpR:79862.1,441.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.59 111134[0:Res:156.1,84874.0] class_Orderings_Olinorder(tc_fun(tc_bool,tc_bool)) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)),u))* c_Finite__Set_Ofinite(u,tc_bool).
% 299.97/300.59 111078[0:SpL:29197.1,84874.0] || equal(c_False,u) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool)))* -> c_Finite__Set_Ofinite(v,tc_bool).
% 299.97/300.59 111077[0:SpL:29745.1,84874.0] || equal(c_False,u) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool)))* -> c_Finite__Set_Ofinite(v,tc_bool).
% 299.97/300.59 111429[0:SSi:111423.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Obounded__lattice(u) || hBOOL(hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_fun(w,tc_bool)),x))* -> hBOOL(hAPP(c_Orderings_Obot__class_Obot(u),x)).
% 299.97/300.59 111662[0:SSi:111651.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Obounded__lattice(u) || hBOOL(hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_fun(w,tc_bool)),x))* -> hBOOL(hAPP(c_Orderings_Otop__class_Otop(u),x)).
% 299.97/300.59 112020[0:SpR:61331.1,111157.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.59 112348[0:Res:1393.1,12715.0] class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_False),v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_False)**.
% 299.97/300.59 112341[2:Res:1393.1,49352.0] class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),v),c_False)** -> .
% 299.97/300.59 112369[0:Res:1394.1,12715.0] class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_False),v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_False)**.
% 299.97/300.59 112362[2:Res:1394.1,49352.0] class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),v),c_False)** -> .
% 299.97/300.59 112379[0:SpL:50.1,99791.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.59 112378[0:SpL:1919.1,99791.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.59 112377[0:SpL:12821.1,99791.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.59 112376[0:SpL:255.1,99791.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.59 112375[0:SpL:1918.1,99791.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.59 112374[0:SpL:12701.1,99791.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.59 112532[0:Res:1404.1,12715.0] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_False),v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_False)**.
% 299.97/300.59 112525[2:Res:1404.1,49352.0] class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),v),c_False)** -> .
% 299.97/300.59 112566[2:Res:1412.0,49352.0] || equal(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(u,v,w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),c_COMBK(c_False,tc_bool,w)),c_False)** -> .
% 299.97/300.59 112626[0:Res:1415.1,12715.0] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_False),v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_False)**.
% 299.97/300.59 112619[2:Res:1415.1,49352.0] class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),v),c_False)** -> .
% 299.97/300.59 112653[2:SpL:613.0,102170.0] || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(hAPP(hAPP(c_fequal(t_a),v_x),v_x),v),w))),c_False)** -> .
% 299.97/300.59 112732[0:Res:1784.1,12715.0] class_Lattices_Olattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_False),v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_False)**.
% 299.97/300.59 112725[2:Res:1784.1,49352.0] class_Lattices_Olattice(u) || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),v),c_False)** -> .
% 299.97/300.59 112858[0:SpR:29197.1,111162.1] class_Lattices_Oupper__semilattice(u) || equal(c_False,v) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_SetInterval_Oord__class_OgreaterThanAtMost(w,v,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.59 112857[0:SpR:29745.1,111162.1] class_Lattices_Oupper__semilattice(u) || equal(c_False,v) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_SetInterval_Oord__class_OatLeastLessThan(w,v,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.59 112884[0:Res:1887.1,12715.0] class_Lattices_Olattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_False),v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_False)**.
% 299.97/300.59 112877[2:Res:1887.1,49352.0] class_Lattices_Olattice(u) || equal(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),v),c_False)** -> .
% 299.97/300.59 112904[0:SpR:29197.1,111163.1] class_Lattices_Olower__semilattice(u) || equal(c_False,v) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_SetInterval_Oord__class_OgreaterThanAtMost(w,v,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.59 112903[0:SpR:29745.1,111163.1] class_Lattices_Olower__semilattice(u) || equal(c_False,v) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_SetInterval_Oord__class_OatLeastLessThan(w,v,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.59 113586[0:SSi:113471.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_bool,tc_bool)),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),v)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))**.
% 299.97/300.59 115311[0:SpR:8807.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool)))*.
% 299.97/300.59 115449[0:MRR:115398.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),v),u)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)))*.
% 299.97/300.59 115719[0:SSi:115610.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_bool,tc_bool)),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),v)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))**.
% 299.97/300.59 115769[0:SpR:8980.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool)))*.
% 299.97/300.59 115912[0:MRR:115861.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),v),u)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)))*.
% 299.97/300.59 1051[0:SpR:685.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_COMBK(c_False,tc_bool,u),v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v))**.
% 299.97/300.59 1131[0:SpR:728.0,35.0] || -> equal(c_Fun_Ofun__upd(c_COMBC(c_fequal(u),u,u,tc_bool),v,hAPP(c_fequal(u),v),w,x),c_COMBC(c_fequal(u),u,u,tc_bool))**.
% 299.97/300.59 1154[0:SpL:418.1,531.0] || hBOOL(c_in(u,c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(c_Set_Oinsert(u,v)),v))* hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(c_Set_Oinsert(u,v))) -> hBOOL(hAPP(c_Set_Oinsert(u,v),c_False)).
% 299.97/300.59 1149[0:SpR:418.1,533.1] || hBOOL(c_in(u,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_Set_Oinsert(u,v)),v))* hBOOL(hAPP(c_Set_Oinsert(u,v),c_False)) -> hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_Set_Oinsert(u,v))).
% 299.97/300.59 1203[0:Res:533.1,718.0] || hBOOL(hAPP(c_Finite__Set_Ofold1Set(u,hAPP(c_fequal(v),w),v),c_False))* -> equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_Finite__Set_Ofold1Set(u,hAPP(c_fequal(v),w),v)),w).
% 299.97/300.59 1419[0:SpR:684.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.59 1399[0:SpR:728.0,248.0] || -> hBOOL(c_in(hAPP(c_fequal(u),v),hAPP(c_Set_Oimage(c_COMBC(c_fequal(u),u,u,tc_bool),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.59 1398[0:SpR:418.1,248.0] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(c_Set_Oinsert(u,w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.59 1566[0:SpR:149.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_COMBB(u,v,w,x,y),z,x1),c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool))),hAPP(u,hAPP(v,x2))))*.
% 299.97/300.59 1565[0:SpR:424.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Fun_Ocomp(u,v,w,x,y),z,x1),c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool))),hAPP(u,hAPP(v,x2))))*.
% 299.97/300.59 1594[0:SpR:1581.0,248.0] || -> hBOOL(c_in(hAPP(hAPP(c_fequal(u),v),w),hAPP(c_Set_Oimage(hAPP(c_fequal(u),w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.59 1678[0:SpR:280.0,248.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.59 1725[0:SpR:1119.0,248.0] || -> hBOOL(c_in(c_COMBK(c_False,tc_bool,u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.59 2000[0:SpR:1923.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v))**.
% 299.97/300.59 2170[0:SpR:2160.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.59 2468[0:Rew:343.1,2467.1] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v))**.
% 299.97/300.59 2470[0:Rew:168.1,2469.1] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v))**.
% 299.97/300.59 2570[0:Res:1441.1,599.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w)* c_Hoare__Mirabelle_Ohoare__derivs(x,u,w)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),y),w)*.
% 299.97/300.59 2756[0:Res:2648.1,531.0] || hBOOL(hAPP(hAPP(c_fequal(u),v),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(v,u),w))))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,u),w),c_False)).
% 299.97/300.59 2924[0:SpR:1523.1,248.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),hAPP(c_Set_Oimage(c_Set_Oinsert(v,u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.59 2923[0:SpR:1523.1,35.0] class_Orderings_Oorder(u) || -> equal(c_Fun_Ofun__upd(c_Set_Oinsert(v,u),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,x),c_Set_Oinsert(v,u))**.
% 299.97/300.59 3165[0:Res:156.1,57.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || c_Finite__Set_Ofinite(v,u) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* c_Finite__Set_Ofinite(w,u).
% 299.97/300.59 3164[0:Res:518.1,57.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || c_Finite__Set_Ofinite(v,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* c_Finite__Set_Ofinite(w,u).
% 299.97/300.59 3330[0:SpR:2651.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(c_Set_Oinsert(y,u),v)))*.
% 299.97/300.59 3619[0:SpR:3333.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(c_Set_Oinsert(y,v),hAPP(c_fequal(v),u))))*.
% 299.97/300.59 3605[0:SpR:3333.0,611.0] || -> equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),hAPP(c_fequal(v),u))),hAPP(c_Set_Oinsert(w,v),hAPP(c_fequal(v),u)))**.
% 299.97/300.59 3951[0:SSi:3944.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_Fun_Ofun__upd(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_fun(u,tc_bool))),v_x,c_COMBK(c_False,tc_bool,u),v,w),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_fun(u,tc_bool))))**.
% 299.97/300.59 3989[0:SpL:708.0,1141.0] || hBOOL(c_COMBK(c_False,tc_bool,u)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool))),c_False))*.
% 299.97/300.59 4052[0:Res:1384.0,767.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(u)),x)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(u)),w),u)*.
% 299.97/300.59 4047[0:SpL:1523.1,767.0] class_Orderings_Oorder(tc_Hoare__Mirabelle_Otriple(u)) || c_Hoare__Mirabelle_Ohoare__derivs(v,c_SetInterval_Oord__class_OatLeastAtMost(w,w,tc_Hoare__Mirabelle_Otriple(u)),u)* -> c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(u)),w),u)*.
% 299.97/300.59 4297[0:SpR:34.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(x,hAPP(c_Set_Oimage(c_Fun_Ofun__upd(y,u,x,z,x1),w,x2),v),x2))*.
% 299.97/300.59 4290[0:SpR:256.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u),w,y),v),y))*.
% 299.97/300.59 4480[0:SpR:50.1,4377.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x,y),w),v))*.
% 299.97/300.59 4479[0:SpR:1919.1,4377.1] class_Lattices_Olattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x,y),w),v))*.
% 299.97/300.59 4478[0:SpR:255.1,4377.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x,y),w),v))*.
% 299.97/300.59 4477[0:SpR:1918.1,4377.1] class_Lattices_Olattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x,y),w),v))*.
% 299.97/300.59 4607[0:SpL:910.1,4436.0] class_Lattices_Olower__semilattice(u) || equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),v,w,x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))** -> equal(v,w).
% 299.97/300.59 4606[0:SpL:1975.1,4436.0] class_Lattices_Olattice(u) || equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),v,w,x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))** -> equal(v,w).
% 299.97/300.59 4605[0:SpL:908.1,4436.0] class_Lattices_Oupper__semilattice(u) || equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),v,w,x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))** -> equal(v,w).
% 299.97/300.59 4604[0:SpL:1945.1,4436.0] class_Lattices_Olattice(u) || equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),v,w,x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))** -> equal(v,w).
% 299.97/300.59 4597[0:SpL:1038.1,4436.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(u),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w,x),c_Complete__Lattice_OSup__class_OSup(u))** -> equal(c_Orderings_Otop__class_Otop(u),v).
% 299.97/300.59 4596[0:SpL:1036.1,4436.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(u),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w,x),c_Complete__Lattice_OInf__class_OInf(u))** -> equal(c_Orderings_Obot__class_Obot(u),v).
% 299.97/300.59 4595[0:SpL:1034.1,4436.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(u),c_COMBK(c_False,tc_bool,u),v,w,x),c_Complete__Lattice_OInf__class_OInf(u))** -> equal(c_Orderings_Otop__class_Otop(u),v).
% 299.97/300.59 4594[0:SpL:1032.1,4436.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(u),c_COMBK(c_False,tc_bool,u),v,w,x),c_Complete__Lattice_OSup__class_OSup(u))** -> equal(c_Orderings_Obot__class_Obot(u),v).
% 299.97/300.59 4841[0:Res:1013.1,4686.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),c_Finite__Set_Ofold1Set(x,c_SetInterval_Oord__class_OatLeastAtMost(y,y,u),u)),c_False))*.
% 299.97/300.59 4809[0:SpL:11.1,4686.0] class_Lattices_Olattice(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),c_False))*.
% 299.97/300.59 4808[0:SpL:3.1,4686.0] class_Lattices_Olattice(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),c_False))*.
% 299.97/300.59 4768[0:SpL:367.1,4686.0] class_Lattices_Obounded__lattice(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),c_False))*.
% 299.97/300.59 4764[0:SpL:691.0,4686.0] || hBOOL(c_COMBK(c_False,tc_bool,u)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),c_Set_Oimage(x,y,u)),c_False))*.
% 299.97/300.59 4754[0:SpL:19.1,4686.0] class_Lattices_Obounded__lattice(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),c_False))*.
% 299.97/300.59 4736[0:SpL:50.1,4686.0] class_Lattices_Olower__semilattice(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),c_False))*.
% 299.97/300.59 4734[0:SpL:255.1,4686.0] class_Lattices_Oupper__semilattice(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),c_False))*.
% 299.97/300.59 5235[0:SpR:5169.1,4377.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(y,y,u),x,z),w),c_False))*.
% 299.97/300.59 5389[0:Res:156.1,451.1] class_Orderings_Olinorder(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),v).
% 299.97/300.59 5388[0:Res:518.1,451.1] class_Orderings_Olinorder(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),v).
% 299.97/300.59 5399[0:Obv:5377.0] class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v))**.
% 299.97/300.59 5405[0:SpR:5302.1,4377.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u),x,z),w),c_False))*.
% 299.97/300.59 5459[0:Res:156.1,449.1] class_Orderings_Olinorder(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),v).
% 299.97/300.59 5458[0:Res:518.1,449.1] class_Orderings_Olinorder(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),v).
% 299.97/300.59 5556[0:Res:156.1,166.1] class_Orderings_Olinorder(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),w).
% 299.97/300.59 5555[0:Res:518.1,166.1] class_Orderings_Olinorder(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),w).
% 299.97/300.59 5570[0:Obv:5550.0] class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v))**.
% 299.97/300.59 5703[0:Res:156.1,164.1] class_Orderings_Olinorder(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),w).
% 299.97/300.59 5702[0:Res:518.1,164.1] class_Orderings_Olinorder(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),w).
% 299.97/300.59 5995[0:SpL:1523.1,325.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),w))* -> hBOOL(c_in(v,w,u)).
% 299.97/300.59 6174[0:SpR:418.1,613.0] || hBOOL(c_in(u,v,w)) -> equal(hAPP(c_Set_Oinsert(u,w),hAPP(c_Set_Oinsert(x,w),v)),hAPP(c_Set_Oinsert(x,w),v))**.
% 299.97/300.59 6145[0:SpR:613.0,618.1] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),w),x)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(y,v),w)),x))*.
% 299.97/300.59 6130[0:SpR:613.0,409.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),hAPP(c_Set_Oinsert(v,u),hAPP(c_Set_Oinsert(x,u),w))))*.
% 299.97/300.59 6357[0:SpR:5430.2,35.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Orderings_Obot__class_Obot(u),v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))**.
% 299.97/300.59 6490[0:SpR:5685.2,35.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Orderings_Otop__class_Otop(u),v,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))**.
% 299.97/300.59 8040[0:SSi:8023.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),v)** -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v),w)**.
% 299.97/300.59 8175[0:SpL:2651.0,5903.0] || equal(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),w),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),u)) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),u),w,v)*.
% 299.97/300.59 8261[0:SSi:8244.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),v) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w)**.
% 299.97/300.59 8270[0:Res:8172.1,599.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v)* c_Hoare__Mirabelle_Ohoare__derivs(w,v,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(w,c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),u)*.
% 299.97/300.59 8326[0:Res:454.1,453.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w)** -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v),w)**.
% 299.97/300.59 8335[0:SSi:8329.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w)** -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),v),v)**.
% 299.97/300.59 8336[0:SSi:8328.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w)** -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),v).
% 299.97/300.59 8477[0:Res:7115.0,599.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oinsert(v,tc_Hoare__Mirabelle_Otriple(w)),x),w)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),y),w)*.
% 299.97/300.59 8584[0:Obv:8583.0] class_Orderings_Oorder(u) || -> equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u))* equal(c_SetInterval_Oord__class_OatLeastAtMost(w,v,u),c_COMBK(c_False,tc_bool,u)).
% 299.97/300.59 8585[0:Obv:8582.0] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),c_COMBK(c_False,tc_bool,u))* equal(c_SetInterval_Oord__class_OatLeastAtMost(w,v,u),c_COMBK(c_False,tc_bool,u)).
% 299.97/300.59 8614[0:SpR:5161.1,35.0] class_Orderings_Oorder(u) || -> equal(c_Fun_Ofun__upd(c_Set_Oinsert(v,u),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),hAPP(c_fequal(u),v),x,y),c_Set_Oinsert(v,u))**.
% 299.97/300.59 8688[0:SpR:5293.1,35.0] class_Orderings_Oorder(u) || -> equal(c_Fun_Ofun__upd(c_Set_Oinsert(v,u),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),hAPP(c_fequal(u),v),x,y),c_Set_Oinsert(v,u))**.
% 299.97/300.59 10473[0:SpR:8858.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.59 10515[0:SpR:9032.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.59 10605[0:Res:454.1,528.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),w)** c_Hoare__Mirabelle_Ohoare__derivs(v,x,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(w,x,u)*.
% 299.97/300.59 10623[0:SSi:10607.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),v)** c_Hoare__Mirabelle_Ohoare__derivs(v,x,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(w,x,u)*.
% 299.97/300.59 10701[0:Res:454.1,527.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),w)** c_Hoare__Mirabelle_Ohoare__derivs(x,w,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,v,u)*.
% 299.97/300.59 10717[0:SSi:10703.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),v)** c_Hoare__Mirabelle_Ohoare__derivs(x,w,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,v,u)*.
% 299.97/300.59 10722[0:SpR:9690.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.59 10746[0:SpR:9924.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.59 10826[0:AED:250.0,10800.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(c_COMBK(u,v,w),w,v),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),hAPP(c_fequal(v),u)))*.
% 299.97/300.59 10962[0:Res:4251.1,768.0] class_Orderings_Obot(u) || -> equal(hAPP(c_Set_Oimage(c_COMBK(v,w,x),x,w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),hAPP(c_fequal(w),v))**.
% 299.97/300.59 10958[0:Res:6094.1,768.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Set_Oimage(c_COMBK(v,w,x),x,w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),hAPP(c_fequal(w),v))**.
% 299.97/300.59 10956[0:Res:4138.1,768.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) -> equal(hAPP(c_Set_Oimage(c_COMBK(w,x,v),v,x),u),hAPP(c_fequal(x),w))**.
% 299.97/300.59 11203[0:Res:41.1,755.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),w,u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.59 11202[0:Res:37.1,755.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),w,u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.59 11195[0:Res:232.1,755.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.59 11194[0:Res:229.1,755.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.59 11193[0:Res:233.1,755.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.59 11192[0:Res:228.1,755.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.59 11179[0:Res:42.1,755.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v,u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.59 11178[0:Res:36.1,755.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v,u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.59 11220[0:Obv:11209.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)) -> .
% 299.97/300.59 11225[0:SSi:11201.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_fequal(u),v),hAPP(c_Set_Oinsert(v,u),w),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))** -> .
% 299.97/300.59 11226[0:SSi:11197.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))** -> .
% 299.97/300.59 11227[0:SSi:11196.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))** -> .
% 299.97/300.59 12217[0:SpR:276.1,3.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),w))),v)**.
% 299.97/300.59 12287[0:SSi:12223.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(w,tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(w,tc_bool)),x)),u))*.
% 299.97/300.59 12391[0:SpL:12280.1,4686.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),c_False))*.
% 299.97/300.59 12498[0:SpR:125.1,11.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),w))),v)**.
% 299.97/300.59 12567[0:SSi:12543.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,tc_fun(v,tc_bool)),x)),v))* -> hBOOL(hAPP(w,u)).
% 299.97/300.59 12709[0:SpR:12544.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(c_False,tc_bool),u),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.59 12761[0:SpR:12625.0,361.1] || hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),w,x),v),x))*.
% 299.97/300.59 13004[0:SpR:12637.0,361.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v,x),u),x))*.
% 299.97/300.59 13058[0:Res:1273.2,77.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)))* equal(v,c_Orderings_Otop__class_Otop(u)).
% 299.97/300.59 13057[0:Res:1293.2,77.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)))* equal(v,c_Orderings_Otop__class_Otop(u)).
% 299.97/300.59 13056[0:Res:1313.2,77.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)))* equal(v,c_Orderings_Otop__class_Otop(u)).
% 299.97/300.59 13046[0:Res:1276.2,77.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),v))* equal(c_Orderings_Obot__class_Obot(u),v).
% 299.97/300.59 13045[0:Res:1294.2,77.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),v))* equal(c_Orderings_Obot__class_Obot(u),v).
% 299.97/300.59 13044[0:Res:1310.2,77.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),v))* equal(c_Orderings_Obot__class_Obot(u),v).
% 299.97/300.59 13105[0:SpR:12701.1,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x,y),w),v))*.
% 299.97/300.59 13229[0:SpL:12821.1,4686.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),c_False))*.
% 299.97/300.59 13186[0:SpR:12821.1,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x,y),w),v))*.
% 299.97/300.59 13308[0:Res:1273.2,69.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)))* equal(c_Orderings_Otop__class_Otop(u),v).
% 299.97/300.59 13307[0:Res:1293.2,69.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)))* equal(c_Orderings_Otop__class_Otop(u),v).
% 299.97/300.59 13306[0:Res:1313.2,69.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)))* equal(c_Orderings_Otop__class_Otop(u),v).
% 299.97/300.59 13296[0:Res:1276.2,69.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),v))* equal(v,c_Orderings_Obot__class_Obot(u)).
% 299.97/300.59 13295[0:Res:1294.2,69.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),v))* equal(v,c_Orderings_Obot__class_Obot(u)).
% 299.97/300.59 13294[0:Res:1310.2,69.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),v))* equal(v,c_Orderings_Obot__class_Obot(u)).
% 299.97/300.59 13350[0:SSi:13339.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),w))* equal(w,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)).
% 299.97/300.59 13351[0:SSi:13338.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),w))* equal(w,c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)).
% 299.97/300.59 13566[0:SpR:13495.1,4377.1] || hBOOL(hAPP(u,c_False)) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_False))*.
% 299.97/300.59 13623[0:SpR:13619.0,361.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v)) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u),w))*.
% 299.97/300.59 13817[0:Res:26.1,53.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* c_Fun_Oinj__on(x,w,u,y)* -> c_Fun_Oinj__on(x,v,u,y)*.
% 299.97/300.59 13845[0:SpR:13738.1,4377.1] || hBOOL(c_in(u,v,w))* -> equal(x,c_False) hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(x,c_False,tc_bool),w,y),v),c_False))*.
% 299.97/300.59 13923[0:Res:4249.1,106.0] || hBOOL(u) c_Finite__Set_Ofinite(hAPP(v,c_False),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_COMBK(u,x,y),v,z,tc_fun(w,tc_bool)),w)*.
% 299.97/300.59 13895[0:Res:1074.1,106.0] class_Orderings_Oorder(u) || c_Finite__Set_Ofinite(hAPP(v,w),x) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),v,u,tc_fun(x,tc_bool)),x)*.
% 299.97/300.59 15287[0:Rew:166.2,15270.2] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || equal(v,w) hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> equal(w,v).
% 299.97/300.59 15288[0:SSi:15250.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),w))* -> equal(hAPP(c_Set_Oinsert(v,u),w),w).
% 299.97/300.59 15453[0:Res:10493.0,4686.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),c_Complete__Lattice_OInf__class_OInf(tc_bool))),c_False))*.
% 299.97/300.59 15474[0:SpR:613.0,12263.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(c_False,tc_bool),v))),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)))**.
% 299.97/300.59 15603[0:Res:13271.0,4686.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),c_Complete__Lattice_OSup__class_OSup(tc_bool))),c_False))*.
% 299.97/300.59 15802[0:Res:323.2,252.0] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,x,w)) hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x),u))*.
% 299.97/300.59 16345[0:SSi:16330.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w))* c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,x,w,tc_fun(y,tc_bool)),y)* -> c_Finite__Set_Ofinite(hAPP(x,u),y)*.
% 299.97/300.59 16379[0:SpR:8799.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.59 16555[0:SpR:8802.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),u,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u))**.
% 299.97/300.59 16811[0:SpR:8972.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.59 16910[0:SpR:8975.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),u,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u))**.
% 299.97/300.59 17108[0:Res:412.1,57.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(x,u),w),u)* -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.59 17686[0:SpR:9620.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.59 17864[0:SpR:9623.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),u,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u))**.
% 299.97/300.59 18037[0:SpR:9853.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.59 18214[0:SpR:9856.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),u,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u))**.
% 299.97/300.59 19043[0:Res:1493.1,10583.0] || c_Hoare__Mirabelle_Ohoare__derivs(c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(u)),v,u) -> c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),v),u)*.
% 299.97/300.59 19042[0:Res:1447.1,10583.0] || c_Hoare__Mirabelle_Ohoare__derivs(c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(u)),v,u) -> c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),x),u)*.
% 299.97/300.59 19887[0:SSi:19840.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(u,hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),v),tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),v)),u))*.
% 299.97/300.59 19894[0:SpR:19877.0,4377.1] || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.59 20227[0:Res:1533.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(u,v,c_Orderings_Otop__class_Otop(tc_bool),w,x),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 20222[0:Res:156.1,20047.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(tc_bool)),v))* equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.59 20221[0:Res:518.1,20047.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v))* equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.59 20205[0:Res:3804.1,20047.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 20199[0:Res:2002.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 20198[0:Res:1528.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 20196[0:Res:156.2,20047.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v))* equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),v)),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.59 20185[0:Res:3816.1,20047.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 20151[0:SpL:251.0,20047.0] || hBOOL(hAPP(hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),v)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_COMBC(u,w,x,y),v)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 20147[0:SpL:1091.0,20047.0] || hBOOL(c_COMBK(c_False,tc_bool,u)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 20142[0:SpL:279.0,20047.0] || hBOOL(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 20127[0:SpL:5674.2,20047.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 20126[0:SpL:5789.2,20047.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 20115[0:SpL:5441.2,20047.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 20114[0:SpL:5861.2,20047.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 20277[0:SpR:20243.0,361.1] || hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u,v)) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),u),w))*.
% 299.97/300.59 20292[0:SpR:20154.0,361.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.59 20320[0:SpR:20206.0,361.1] || hBOOL(c_in(hAPP(c_lessequals(tc_bool),u),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.59 20335[0:SpR:20242.0,361.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.59 20351[0:SpR:20155.0,4377.1] || hBOOL(c_in(hAPP(c_fequal(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.59 20420[0:Res:115.1,135.1] || c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),v)* c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(x,v),w),v)* -> c_Finite__Set_Ofinite(u,v).
% 299.97/300.59 22004[0:Res:3578.0,352.0] || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oinsert(y,u),x,tc_fun(z,tc_bool)),v))*.
% 299.97/300.59 21979[0:Res:4008.0,352.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(x,y),w,tc_fun(z,tc_bool)),c_False))*.
% 299.97/300.59 21976[0:Res:4015.0,352.0] || hBOOL(c_in(hAPP(c_lessequals(tc_bool),c_False),u,v)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Set_Oinsert(w,x),v,tc_fun(y,tc_bool)),c_False))*.
% 299.97/300.59 21907[0:Res:465.1,352.0] class_Orderings_Otop(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.59 21903[0:Res:5848.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.59 21893[0:Res:368.1,352.0] class_Orderings_Obot(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(u),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.59 21889[0:Res:5772.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(u),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.59 21845[0:SpL:12550.0,352.0] || hBOOL(u) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.59 21842[0:SpL:12624.0,352.0] || hBOOL(u) hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,tc_fun(x,tc_bool)),u))*.
% 299.97/300.59 22616[0:SpL:405.0,195.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),y)),w)* -> c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(u,v,w),y),w).
% 299.97/300.59 22353[0:SpR:405.0,4836.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_Set_Oimage(w,x,y),hAPP(c_Set_Oinsert(z,x),x1))),c_False))*.
% 299.97/300.59 22333[0:SpR:405.0,194.1] || c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(u,v,w),x),w) -> c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(y,v),x)),w)*.
% 299.97/300.59 22982[0:SpL:14531.0,461.0] || equal(hAPP(u,v),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,u,x,y)* -> equal(hAPP(hAPP(w,c_HOL_Ominus__class_Ominus(c_False,tc_bool)),v),v)**.
% 299.97/300.59 22947[0:SpL:14872.0,461.0] || equal(hAPP(u,v),v)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_HOL_Ominus__class_Ominus(v,tc_bool),x,y)* -> equal(hAPP(hAPP(w,u),c_False),c_False)**.
% 299.97/300.59 22749[0:SpL:14632.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_HOL_Ominus__class_Ominus(w,tc_bool),x,y)* -> equal(hAPP(hAPP(v,u),w),w)**.
% 299.97/300.59 22748[0:SpL:14531.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_HOL_Ominus__class_Ominus(c_False,tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),y),y)**.
% 299.97/300.59 23110[0:Obv:23019.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)))),z),z)**.
% 299.97/300.59 23111[0:Obv:23017.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool))),z),z)**.
% 299.97/300.59 23112[0:Obv:23016.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool))),z),z)**.
% 299.97/300.59 23113[0:Obv:23015.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool))),z),z)**.
% 299.97/300.59 23114[0:Obv:23014.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool))),z),z)**.
% 299.97/300.59 23115[0:Obv:22991.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),c_COMBK(c_False,tc_bool,y))),z),z)**.
% 299.97/300.59 23116[0:Obv:22954.1] class_Lattices_Olower__semilattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(w,z))),z),z)**.
% 299.97/300.59 23117[0:Obv:22953.1] class_Lattices_Olattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(w,z))),z),z)**.
% 299.97/300.59 23118[0:Obv:22952.1] class_Complete__Lattice_Ocomplete__lattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(w,z))),z),z)**.
% 299.97/300.59 23119[0:Obv:22951.1] class_Lattices_Oupper__semilattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(w,z))),z),z)**.
% 299.97/300.59 23120[0:Obv:22950.1] class_Lattices_Olattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(w,z))),z),z)**.
% 299.97/300.59 23121[0:Obv:22949.1] class_Complete__Lattice_Ocomplete__lattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(w,z))),z),z)**.
% 299.97/300.59 23304[0:Rew:424.0,23252.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oimage(x,y,v),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)))),hAPP(u,hAPP(x,z))))*.
% 299.97/300.59 23930[0:SSi:23904.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(u,v_x)),hAPP(hAPP(c_fequal(t_a),v),v_x)),hAPP(hAPP(c_Set_Oinsert(v,t_a),u),v_x))**.
% 299.97/300.59 23933[0:SSi:23887.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),u),v_x)),hAPP(v,v_x)),hAPP(hAPP(c_Set_Oinsert(u,t_a),v),v_x))**.
% 299.97/300.59 24261[0:SSi:24237.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(v,x)),hAPP(w,x)))*.
% 299.97/300.59 24891[0:SpL:803.2,667.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* equal(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_COMBK(c_False,tc_bool,u)) -> .
% 299.97/300.59 25604[0:MRR:25597.2,9750.0] || c_Finite__Set_Ofold__graph(u,v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool),x,tc_bool,tc_bool)* -> hBOOL(hAPP(c_Finite__Set_Ofold1Set(u,hAPP(c_fequal(tc_bool),v),tc_bool),x)).
% 299.97/300.59 25605[0:MRR:25596.2,9018.0] || c_Finite__Set_Ofold__graph(u,v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool),x,tc_bool,tc_bool)* -> hBOOL(hAPP(c_Finite__Set_Ofold1Set(u,hAPP(c_fequal(tc_bool),v),tc_bool),x)).
% 299.97/300.59 25606[0:MRR:25595.2,9476.0] || c_Finite__Set_Ofold__graph(u,v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool),x,tc_bool,tc_bool)* -> hBOOL(hAPP(c_Finite__Set_Ofold1Set(u,hAPP(c_fequal(tc_bool),v),tc_bool),x)).
% 299.97/300.59 25607[0:MRR:25594.2,8844.0] || c_Finite__Set_Ofold__graph(u,v,c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool),x,tc_bool,tc_bool)* -> hBOOL(hAPP(c_Finite__Set_Ofold1Set(u,hAPP(c_fequal(tc_bool),v),tc_bool),x)).
% 299.97/300.59 25608[0:MRR:25581.2,666.0] || c_Finite__Set_Ofold__graph(u,v,c_COMBK(c_False,tc_bool,w),x,w,w)* -> hBOOL(hAPP(c_Finite__Set_Ofold1Set(u,hAPP(c_fequal(w),v),w),x)).
% 299.97/300.59 26283[0:SpR:411.0,3816.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(x,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),y),v)),u))*.
% 299.97/300.59 26361[0:SSi:26280.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),v))),v)**.
% 299.97/300.59 26577[0:SpR:410.0,3804.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(x,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),y)),u))*.
% 299.97/300.59 26791[0:SSi:26570.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),x))),v)**.
% 299.97/300.59 27010[0:Rew:708.0,26964.1] || hBOOL(c_in(u,v,w)) -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(w),u),tc_fun(w,tc_bool)),v),c_COMBK(c_False,tc_bool,w))**.
% 299.97/300.59 27299[0:SpR:3333.0,13604.1] || hBOOL(hAPP(hAPP(c_fequal(tc_bool),u),c_False)) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),v))),c_False)**.
% 299.97/300.59 27347[0:Res:13702.1,71.0] || -> equal(u,c_False) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v))* equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v).
% 299.97/300.59 27541[0:SpL:1581.0,14495.0] || hBOOL(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_fequal(u),v_x),v),tc_bool),hAPP(w,v_x)))* -> hBOOL(hAPP(hAPP(c_fequal(u),v),v_x)).
% 299.97/300.59 28261[0:Res:28232.1,352.0] || equal(c_False,u) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_bool),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.59 28391[0:SpR:326.1,6050.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(x,y),hAPP(c_Set_Oimage(z,w,y),v)),hAPP(z,u)))*.
% 299.97/300.59 29284[0:SpL:28270.1,4585.0] || equal(c_False,u) equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w,x,y),c_Complete__Lattice_OSup__class_OSup(tc_bool))** -> equal(w,c_False).
% 299.97/300.59 29833[0:SpL:28271.1,4585.0] || equal(c_False,u) equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w,x,y),c_Complete__Lattice_OSup__class_OSup(tc_bool))** -> equal(w,c_False).
% 299.97/300.59 34566[0:SSi:34540.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v))*.
% 299.97/300.59 35252[0:SpR:410.0,28358.1] || equal(c_False,u) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),v),hAPP(c_Set_Oinsert(u,tc_bool),w))),u)**.
% 299.97/300.59 36531[0:SSi:36489.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x)),u)* -> c_Finite__Set_Ofinite(x,u).
% 299.97/300.59 36915[0:SSi:36815.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),x),u)),v)*.
% 299.97/300.59 37248[0:Obv:37125.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),v))),v)**.
% 299.97/300.59 37418[0:SpR:2160.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.59 37415[0:SpR:9853.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.59 37414[0:SpR:8972.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.59 37413[0:SpR:9620.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.59 37412[0:SpR:8799.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.59 37408[0:SpR:1581.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_fequal(u),v),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),hAPP(hAPP(c_fequal(u),v_x),v)))*.
% 299.97/300.59 37396[0:SpR:186.1,26165.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.59 37386[0:SpR:684.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.59 37382[0:SpR:278.1,26165.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.59 37352[0:SpR:728.0,26165.1] || hBOOL(c_in(v_x,c_COMBC(c_fequal(u),u,u,tc_bool),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(c_fequal(u),v_x)))*.
% 299.97/300.59 37351[0:SpR:418.1,26165.1] || hBOOL(c_in(u,v_x,v)) hBOOL(c_in(v_x,c_Set_Oinsert(u,v),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v_x))*.
% 299.97/300.59 37631[0:Obv:37545.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v))),v)**.
% 299.97/300.59 38102[0:SSi:37911.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x)))*.
% 299.97/300.59 38125[0:SSi:38064.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x)),u)* -> c_Finite__Set_Ofinite(w,u).
% 299.97/300.59 38662[0:SSi:38471.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),u),x)),v)*.
% 299.97/300.59 39265[0:Obv:39028.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x))),v)**.
% 299.97/300.59 39807[0:Obv:39616.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x))),v)**.
% 299.97/300.59 42626[0:SpR:2160.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.59 42623[0:SpR:9853.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.59 42622[0:SpR:8972.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.59 42621[0:SpR:9620.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.59 42620[0:SpR:8799.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.59 42616[0:SpR:1581.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_fequal(u),v),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(u),v_x),v)),w))*.
% 299.97/300.59 42603[0:SpR:186.1,26440.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Obot__class_Obot(u)),v))*.
% 299.97/300.59 42593[0:SpR:684.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.59 42589[0:SpR:278.1,26440.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(u)),v))*.
% 299.97/300.59 42559[0:SpR:728.0,26440.1] || hBOOL(c_in(v_x,c_COMBC(c_fequal(u),u,u,tc_bool),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_fequal(u),v_x)),v))*.
% 299.97/300.59 42558[0:SpR:418.1,26440.1] || hBOOL(c_in(u,v_x,v)) hBOOL(c_in(v_x,c_Set_Oinsert(u,v),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),w))*.
% 299.97/300.59 42679[0:SSi:42651.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v)))*.
% 299.97/300.59 42973[0:SpL:794.0,3956.0] || hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),x)),y))* hBOOL(c_in(y,x,v)) -> .
% 299.97/300.59 43532[0:MRR:43461.1,464.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(v,tc_bool)),w),u))* hBOOL(c_in(x,w,v))*.
% 299.97/300.59 44151[0:Res:44148.1,768.0] || equal(c_False,u) -> equal(hAPP(c_Set_Oimage(c_COMBK(v,w,x),x,w),hAPP(c_lessequals(tc_bool),u)),hAPP(c_fequal(w),v))**.
% 299.97/300.59 44184[0:SpR:456.0,236.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(v,w)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(w,x),y),v,x,tc_fun(u,tc_bool))))*.
% 299.97/300.59 44180[0:SpR:456.0,429.1] || hBOOL(hAPP(hAPP(u,v),w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(v,x),y),u,x,tc_fun(z,tc_bool)),w))*.
% 299.97/300.59 44662[0:Res:28274.1,531.0] || equal(hAPP(u,c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_lessequals(tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool)))),c_False)** -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool)),c_False)).
% 299.97/300.59 44699[0:SSi:44676.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(u,v),c_False) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool)))* -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool),v).
% 299.97/300.59 44834[0:SpL:341.0,44668.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_False),v),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),tc_bool),c_False).
% 299.97/300.59 44813[0:SpL:757.0,44668.0] || equal(hAPP(c_Set_Oinsert(u,v),c_False),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_fequal(v),u)),tc_bool),c_False)**.
% 299.97/300.59 46081[0:SpR:159.0,44775.1] || equal(hAPP(u,v),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Fun_Ocomp(u,c_Fun_Ofun__upd(w,c_False,v,x,y),y,z,x),tc_bool),c_False)**.
% 299.97/300.59 46121[0:SpR:34556.1,35.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,u,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u))**.
% 299.97/300.59 49188[2:Res:733.1,47875.1] class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w),c_False)** -> equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u)).
% 299.97/300.59 49187[2:Res:734.1,47875.1] class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w),c_False)** -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),c_COMBK(c_False,tc_bool,u)).
% 299.97/300.59 49171[2:Res:724.1,47875.1] class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_lessequals(u),v),w),c_False)** -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_COMBK(c_False,tc_bool,u)).
% 299.97/300.59 49170[2:Res:450.2,47875.1] class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w) equal(hAPP(hAPP(c_lessequals(u),v),w),c_False)** -> .
% 299.97/300.59 49169[2:Res:165.2,47875.1] class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v) equal(hAPP(hAPP(c_lessequals(u),v),w),c_False)** -> .
% 299.97/300.59 49168[2:Res:26.1,47875.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w),c_False) -> .
% 299.97/300.59 49110[2:Res:457.2,47875.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,u)) equal(hAPP(hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),w)),v),c_False)** -> .
% 299.97/300.59 49071[2:Res:516.2,47875.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,u)) equal(hAPP(hAPP(c_lessequals(u),v),hAPP(c_Complete__Lattice_OSup__class_OSup(u),w)),c_False)** -> .
% 299.97/300.59 49455[2:SpL:803.2,49222.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(c_in(w,c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),u),c_False)** -> .
% 299.97/300.59 49454[2:SpL:802.2,49222.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(c_in(v,c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),u),c_False)** -> .
% 299.97/300.59 50554[2:SpR:50431.1,4377.1] || hBOOL(u) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),x,y),w),c_False))*.
% 299.97/300.59 50929[2:Rew:149.0,50870.0] || hBOOL(hAPP(u,hAPP(v,c_False))) equal(hAPP(u,hAPP(v,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_COMBB(u,v,w,x,y)))),c_False)** -> .
% 299.97/300.59 50930[2:Rew:424.0,50869.0] || hBOOL(hAPP(u,hAPP(v,c_False))) equal(hAPP(u,hAPP(v,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_Fun_Ocomp(u,v,w,x,y)))),c_False)** -> .
% 299.97/300.59 53102[2:Res:740.2,49352.0] class_Orderings_Olinorder(u) || c_Finite__Set_Ofinite(v,u) equal(hAPP(v,c_Finite__Set_Olinorder__class_OMin(v,u)),c_False)** -> equal(v,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.59 53101[2:Res:741.2,49352.0] class_Orderings_Olinorder(u) || c_Finite__Set_Ofinite(v,u) equal(hAPP(v,c_Finite__Set_Olinorder__class_OMax(v,u)),c_False)** -> equal(v,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.59 53284[2:SpL:3333.0,53092.0] || hBOOL(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w)))* equal(hAPP(c_Set_Oinsert(w,v),hAPP(c_fequal(v),u)),c_False) -> .
% 299.97/300.59 53256[2:SpL:341.0,53092.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v),c_False) -> .
% 299.97/300.59 54058[0:SSi:53929.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),v_x))*.
% 299.97/300.59 54059[0:SSi:53916.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),v_x))*.
% 299.97/300.59 54822[0:SSi:54690.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x)))*.
% 299.97/300.59 54823[0:SSi:54677.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v)))*.
% 299.97/300.59 54939[0:SSi:54938.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),hAPP(c_Set_Oinsert(x,u),v))),v)**.
% 299.97/300.59 58407[0:SSi:58364.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),u))),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u))**.
% 299.97/300.59 58638[0:SSi:58614.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),u).
% 299.97/300.59 58661[0:SpR:54071.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.59 58660[0:SpR:54071.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.59 58652[0:SpR:54071.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.59 58792[0:SSi:58701.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),v),tc_bool),u)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u))**.
% 299.97/300.59 59025[0:SSi:59000.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),u))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),u).
% 299.97/300.59 59048[0:SpR:54074.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v_x)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.59 59047[0:SpR:54074.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v_x)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.59 59039[0:SpR:54074.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.59 59179[0:SSi:59178.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),u))),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u))**.
% 299.97/300.59 59180[0:SSi:59089.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),v)),tc_bool),v)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),v))**.
% 299.97/300.59 59280[0:SSi:59257.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),v))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),v).
% 299.97/300.59 59300[0:SpR:54075.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v_x)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.59 59299[0:SpR:54075.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v_x)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.59 59294[0:SpR:54075.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.59 59436[0:SSi:59347.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v)),tc_bool),v)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v))**.
% 299.97/300.59 59748[0:SpR:54831.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v_x),u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.59 59747[0:SpR:54831.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v_x),u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.59 59742[0:SpR:54831.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.59 59892[0:SSi:59797.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),v),tc_bool),u)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u))**.
% 299.97/300.59 60006[0:SSi:59980.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),u).
% 299.97/300.59 61342[0:SpR:49966.1,1403.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w))*.
% 299.97/300.59 61324[0:SpR:49966.1,4013.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))),c_False))*.
% 299.97/300.59 61319[0:SpR:49966.1,5267.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.59 61318[0:SpR:49966.1,5137.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.59 61307[0:SpR:49966.1,1119.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))**.
% 299.97/300.59 61306[0:SpR:49966.1,1091.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))**.
% 299.97/300.59 62151[0:Rew:62049.0,61422.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_bool,tc_bool),c_False)**.
% 299.97/300.59 62152[0:Rew:62049.0,61421.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_bool,tc_bool),c_False)**.
% 299.97/300.59 62218[0:Rew:62049.0,46551.2] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,v,tc_bool))*.
% 299.97/300.59 63777[0:SSi:63776.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),v))*.
% 299.97/300.59 63875[0:SpR:405.0,59016.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,v)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(u,w,tc_bool),hAPP(c_Set_Oinsert(v,w),x)))))*.
% 299.97/300.59 63870[0:SpR:410.0,59016.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),v),hAPP(c_Set_Oinsert(u,tc_bool),w)))))*.
% 299.97/300.59 63971[0:SSi:63943.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u))),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v)).
% 299.97/300.59 63972[0:SSi:63942.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u))),v))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)).
% 299.97/300.59 63973[0:SSi:63941.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v))))*.
% 299.97/300.59 63974[0:SSi:63940.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v))))*.
% 299.97/300.59 64020[0:SSi:63994.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v)).
% 299.97/300.59 64021[0:SSi:63993.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),v))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)).
% 299.97/300.59 64022[0:SSi:63992.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_bool))))*.
% 299.97/300.59 64023[0:SSi:63991.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_bool))))*.
% 299.97/300.59 64967[0:SpR:405.0,59997.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(u,v,tc_bool),hAPP(c_Set_Oinsert(w,v),x)))),hAPP(u,w)))*.
% 299.97/300.59 64962[0:SpR:410.0,59997.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),hAPP(c_Set_Oinsert(v,tc_bool),w)))),v))*.
% 299.97/300.59 65083[0:SSi:65054.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u))),v))*.
% 299.97/300.59 65084[0:SSi:65053.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u))),v))*.
% 299.97/300.59 65085[0:SSi:65052.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),v))))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v)).
% 299.97/300.59 65086[0:SSi:65051.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),v))))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)).
% 299.97/300.59 65141[0:SSi:65114.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),v))*.
% 299.97/300.59 65142[0:SSi:65113.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),v))*.
% 299.97/300.59 65143[0:SSi:65112.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_bool))))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v)).
% 299.97/300.59 65144[0:SSi:65111.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_bool))))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)).
% 299.97/300.59 69172[2:SpL:405.0,49184.0] || equal(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oimage(w,x,v),hAPP(c_Set_Oinsert(y,x),z))),hAPP(w,y)),c_False)** -> .
% 299.97/300.59 69167[2:SpL:410.0,49184.0] || equal(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Set_Oinsert(x,v),y))),x),c_False)** -> .
% 299.97/300.59 71271[2:Res:50386.1,71.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v))* equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v).
% 299.97/300.59 73163[0:SpR:34557.1,35.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u,u,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v))**.
% 299.97/300.59 73403[0:SpR:34558.1,35.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u,v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v))**.
% 299.97/300.59 73761[0:SSi:73739.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),u),v_x)),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v)).
% 299.97/300.59 73762[0:SSi:73737.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),v),v_x)))*.
% 299.97/300.59 74873[0:SpR:2160.0,73586.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.59 74868[0:SpR:9853.0,73586.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.59 74867[0:SpR:8972.0,73586.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.59 74866[0:SpR:9620.0,73586.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.59 74865[0:SpR:8799.0,73586.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.59 74861[0:SpR:1581.0,73586.1] || hBOOL(c_in(v_x,hAPP(c_fequal(u),v),t_a)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_fequal(u),v_x),v)))*.
% 299.97/300.59 74848[0:SpR:186.1,73586.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_Orderings_Obot__class_Obot(u))).
% 299.97/300.59 74837[0:SpR:684.0,73586.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.59 74833[0:SpR:278.1,73586.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_Orderings_Otop__class_Otop(u))).
% 299.97/300.59 74803[0:SpR:728.0,73586.1] || hBOOL(c_in(v_x,c_COMBC(c_fequal(u),u,u,tc_bool),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(c_fequal(u),v_x)))*.
% 299.97/300.59 74802[0:SpR:418.1,73586.1] || hBOOL(c_in(u,v_x,v)) hBOOL(c_in(v_x,c_Set_Oinsert(u,v),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x))*.
% 299.97/300.59 75405[0:SpR:34559.1,35.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))**.
% 299.97/300.59 77051[0:SpR:58783.0,28267.1] || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),c_False)** -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),u).
% 299.97/300.59 77002[0:SpR:58783.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),u,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u))**.
% 299.97/300.59 77256[0:SpR:59886.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),u,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))**.
% 299.97/300.59 78913[0:SSi:78864.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(u,v,w))* equal(hAPP(x,u),c_False) -> equal(hAPP(x,u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,x,w,tc_bool))*.
% 299.97/300.59 78914[0:SSi:78861.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(u,v,tc_bool))* c_Finite__Set_Ofinite(v,tc_bool) equal(c_False,u) -> equal(u,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,tc_bool))*.
% 299.97/300.59 79577[0:SpL:1581.0,78858.0] || equal(hAPP(hAPP(c_fequal(u),v),w),c_False)** equal(c_False,v) -> equal(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_fequal(u),w),tc_bool)).
% 299.97/300.59 79518[0:SpL:367.1,78858.0] class_Lattices_Obounded__lattice(u) || equal(v,c_False) equal(c_Orderings_Obot__class_Obot(u),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_bool),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.59 79503[0:SpL:19.1,78858.0] class_Lattices_Obounded__lattice(u) || equal(v,c_False) equal(c_Orderings_Otop__class_Otop(u),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_bool),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.59 79475[0:SpL:728.0,78858.0] || equal(hAPP(c_fequal(u),v),c_False)** equal(c_False,v) -> equal(v,c_Inductive_Ocomplete__lattice__class_Olfp(c_COMBC(c_fequal(u),u,u,tc_bool),tc_bool))*.
% 299.97/300.59 80003[0:Obv:79778.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_False)** -> equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.59 80004[0:Obv:79777.1] class_Orderings_Obot(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_False)** -> equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.59 80038[0:Rew:80024.1,80037.1] || equal(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(u,tc_bool),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.59 80452[0:Res:21030.1,79861.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(c_Complete__Lattice_OSup__class_OSup(tc_bool))) equal(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.59 80328[0:Res:40007.2,79861.0] || hBOOL(c_in(v_x,c_False,tc_bool))* hBOOL(v_x) equal(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),c_Complete__Lattice_OSup__class_OSup(tc_bool)).
% 299.97/300.59 80191[0:SpL:712.1,79861.0] class_Orderings_Oorder(u) || hBOOL(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,u))* equal(c_fequal(u),c_False) -> equal(c_fequal(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.59 80457[0:Rew:80024.1,80426.1] || equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),c_False)),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(u,v),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.59 80458[0:Rew:80024.1,80392.1] || equal(hAPP(c_Set_Oinsert(u,v),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(u,v),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.59 80459[0:Rew:80024.1,80389.1] || equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_lessequals(tc_bool),c_False)),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(u,v),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.59 80461[0:MRR:80278.1,927.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),c_False)** -> equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.59 81840[0:Res:24254.0,28275.1] || equal(hAPP(hAPP(c_Set_Oinsert(u,v),w),x),c_False)** -> equal(hAPP(hAPP(c_Set_Oinsert(u,v),w),x),hAPP(w,x)).
% 299.97/300.59 81828[0:SpR:9869.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(tc_bool),u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Set_Oinsert(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool))))*.
% 299.97/300.59 81827[0:SpR:8988.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(tc_bool),u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Set_Oinsert(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool))))*.
% 299.97/300.59 81826[0:SpR:9636.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(tc_bool),u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Set_Oinsert(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool))))*.
% 299.97/300.59 81825[0:SpR:8815.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(tc_bool),u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Set_Oinsert(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool))))*.
% 299.97/300.59 81815[0:SpR:13736.1,24254.0] || -> equal(u,c_False) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))))*.
% 299.97/300.59 81814[2:SpR:50425.1,24254.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))))*.
% 299.97/300.59 81750[0:SpR:20106.1,24254.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_COMBK(u,x,y))))*.
% 299.97/300.59 81720[0:SpR:20245.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.59 81713[0:SpR:20156.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.59 81710[0:SpR:20134.1,24254.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u))))*.
% 299.97/300.59 81698[0:SpR:15551.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)))))*.
% 299.97/300.59 81697[0:SpR:12263.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Set_Oinsert(c_False,tc_bool),u))))*.
% 299.97/300.59 81674[0:SpR:54836.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x))))*.
% 299.97/300.59 81673[0:SpR:54440.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),u))))*.
% 299.97/300.59 81636[0:SpR:1461.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(u),v)),hAPP(hAPP(c_Set_Oinsert(w,x),c_Set_Oinsert(v,u)),hAPP(c_fequal(u),v))))*.
% 299.97/300.59 81620[0:SpR:54071.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x))),u)))*.
% 299.97/300.59 81617[0:SpR:54074.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),u))),u)))*.
% 299.97/300.59 81614[0:SpR:2160.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)))),u)))*.
% 299.97/300.59 81608[0:SpR:9853.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool))),u)))*.
% 299.97/300.59 81607[0:SpR:8972.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool))),u)))*.
% 299.97/300.59 81606[0:SpR:9620.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool))),u)))*.
% 299.97/300.59 81605[0:SpR:8799.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool))),u)))*.
% 299.97/300.59 81601[0:SpR:1581.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_fequal(u),v),w)),hAPP(hAPP(c_Set_Oinsert(x,y),hAPP(c_fequal(u),w)),v)))*.
% 299.97/300.59 81593[0:SpR:1923.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),u)),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)))))*.
% 299.97/300.59 81582[0:SpR:187.1,24254.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x)),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.59 81580[0:SpR:12564.1,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x)),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.59 81579[0:SpR:186.1,24254.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u))),x)))*.
% 299.97/300.59 81568[0:SpR:9856.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool))))*.
% 299.97/300.59 81567[0:SpR:8975.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool))))*.
% 299.97/300.59 81566[0:SpR:9623.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool))))*.
% 299.97/300.59 81565[0:SpR:8802.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u)),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool))))*.
% 299.97/300.59 81555[0:SpR:685.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u)),c_COMBK(c_False,tc_bool,x))))*.
% 299.97/300.59 81554[0:SpR:684.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,x))),u)))*.
% 299.97/300.59 81548[0:SpR:278.1,24254.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u))),x)))*.
% 299.97/300.59 81545[0:SpR:277.1,24254.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x)),c_Orderings_Otop__class_Otop(u))))*.
% 299.97/300.59 81543[0:SpR:12282.1,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x)),c_Orderings_Otop__class_Otop(u))))*.
% 299.97/300.59 81539[0:SpR:683.1,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OInf__class_OInf(u)),c_COMBK(c_False,tc_bool,u))))*.
% 299.97/300.59 81538[0:SpR:682.1,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(u)),c_COMBK(c_False,tc_bool,u))))*.
% 299.97/300.59 81536[0:SpR:699.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(u),v)),hAPP(hAPP(c_Set_Oinsert(w,x),c_Set_Oinsert(v,u)),c_COMBK(c_False,tc_bool,u))))*.
% 299.97/300.59 81531[0:SpR:2659.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),hAPP(hAPP(c_Set_Oinsert(v,w),c_Set_Oinsert(x,u)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))))*.
% 299.97/300.59 81529[0:SpR:357.1,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(u)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))))*.
% 299.97/300.59 81528[0:SpR:441.1,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OInf__class_OInf(u)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))))*.
% 299.97/300.59 81499[0:SpR:728.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(u),v)),hAPP(hAPP(c_Set_Oinsert(w,x),c_COMBC(c_fequal(u),u,u,tc_bool)),v)))*.
% 299.97/300.59 81498[0:SpR:418.1,24254.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(x,y),c_Set_Oinsert(u,w)),v)))*.
% 299.97/300.59 82063[0:SpR:82006.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,x),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))),c_False)))*.
% 299.97/300.59 82062[0:SpR:82006.0,248.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Set_Oinsert(u,v),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.59 82104[0:MRR:82095.0,927.0] || hBOOL(c_in(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u,v)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Set_Oinsert(w,x),v,tc_fun(y,tc_bool)),c_False))*.
% 299.97/300.59 82106[0:MRR:82105.0,927.0] || equal(hAPP(c_Set_Oinsert(u,v),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(u,v),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.59 83410[0:SpR:82006.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Set_Oinsert(u,v),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),w,x),hAPP(c_Set_Oinsert(c_False,w),y)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.59 83405[0:SpR:9869.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(u,tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool),v),y)),hAPP(c_fequal(tc_bool),u)))*.
% 299.97/300.59 83404[0:SpR:8988.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(u,tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool),v),y)),hAPP(c_fequal(tc_bool),u)))*.
% 299.97/300.59 83403[0:SpR:9636.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(u,tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool),v),y)),hAPP(c_fequal(tc_bool),u)))*.
% 299.97/300.59 83402[0:SpR:8815.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(u,tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool),v),y)),hAPP(c_fequal(tc_bool),u)))*.
% 299.97/300.59 83393[0:SpR:13516.1,22323.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(u,v),x)),c_False))*.
% 299.97/300.59 83392[0:SpR:35267.1,22323.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),v),x)),u))*.
% 299.97/300.59 83391[0:SpR:13736.1,22323.0] || -> equal(u,c_False) hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.59 83390[2:SpR:50425.1,22323.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.59 83386[0:SpR:35239.1,22323.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_fequal(tc_bool),u),v),x)),u))*.
% 299.97/300.59 83385[0:SpR:44156.1,22323.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_bool),u),v),x)),c_False))*.
% 299.97/300.59 83379[0:SpR:13518.1,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v),x)),c_False))*.
% 299.97/300.59 83378[0:SpR:13522.1,22323.0] class_Orderings_Obot(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v),x)),c_False))*.
% 299.97/300.59 83371[0:SpR:82160.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),u),x)),c_False))*.
% 299.97/300.59 83369[0:SpR:13552.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),u),y)),c_False))*.
% 299.97/300.59 83368[0:SpR:12758.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),u),x)),c_False))*.
% 299.97/300.59 83365[0:SpR:13539.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_lessequals(tc_bool),c_False)),u),x)),c_False))*.
% 299.97/300.59 83364[0:SpR:12721.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_fequal(tc_bool),c_False)),u),x)),c_False))*.
% 299.97/300.59 83325[0:SpR:20106.1,22323.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(c_COMBK(u,x,y),v),z)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.59 83295[0:SpR:20245.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.59 83288[0:SpR:20156.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.59 83285[0:SpR:20134.1,22323.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.59 83273[0:SpR:15551.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),u),x)),w))*.
% 299.97/300.59 83272[0:SpR:12263.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(c_False,tc_bool),w),u),x)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),w)))*.
% 299.97/300.59 83271[0:SpR:29192.1,22323.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,u,tc_bool),v),y)),c_False))*.
% 299.97/300.59 83268[0:SpR:29740.1,22323.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,u,tc_bool),v),y)),c_False))*.
% 299.97/300.59 83249[0:SpR:54836.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x),v),y)),u))*.
% 299.97/300.59 83248[0:SpR:54440.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),u),v),y)),u))*.
% 299.97/300.59 83247[0:SpR:54837.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x),v),y)),u))*.
% 299.97/300.59 83246[0:SpR:54070.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),u),v),y)),u))*.
% 299.97/300.59 83211[0:SpR:1461.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),w,x),hAPP(c_Set_Oinsert(hAPP(c_fequal(v),u),w),y)),hAPP(c_fequal(v),u)))*.
% 299.97/300.59 83196[0:SpR:54831.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w,x),hAPP(c_Set_Oinsert(u,w),y)),u))*.
% 299.97/300.59 83195[0:SpR:54071.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w,x),hAPP(c_Set_Oinsert(u,w),y)),u))*.
% 299.97/300.59 83192[0:SpR:54074.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w,x),hAPP(c_Set_Oinsert(v,w),y)),v))*.
% 299.97/300.59 83189[0:SpR:2160.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v,w),hAPP(c_Set_Oinsert(x,v),y)),x))*.
% 299.97/300.59 83184[0:SpR:54075.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w,x),hAPP(c_Set_Oinsert(v,w),y)),v))*.
% 299.97/300.59 83183[0:SpR:9853.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),v,w),hAPP(c_Set_Oinsert(x,v),y)),x))*.
% 299.97/300.59 83182[0:SpR:8972.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v,w),hAPP(c_Set_Oinsert(x,v),y)),x))*.
% 299.97/300.59 83181[0:SpR:9620.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),v,w),hAPP(c_Set_Oinsert(x,v),y)),x))*.
% 299.97/300.59 83180[0:SpR:8799.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v,w),hAPP(c_Set_Oinsert(x,v),y)),x))*.
% 299.97/300.59 83176[0:SpR:1581.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_fequal(u),v),w,x),hAPP(c_Set_Oinsert(y,w),z)),hAPP(hAPP(c_fequal(u),y),v)))*.
% 299.97/300.59 83168[0:SpR:1923.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),w),y)),v))*.
% 299.97/300.59 83157[0:SpR:187.1,22323.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),w),y)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.59 83155[0:SpR:12564.1,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),w),y)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.59 83154[0:SpR:186.1,22323.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.59 83143[0:SpR:9856.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool),v),y)),u))*.
% 299.97/300.59 83142[0:SpR:8975.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool),v),y)),u))*.
% 299.97/300.59 83141[0:SpR:9623.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool),v),y)),u))*.
% 299.97/300.59 83140[0:SpR:8802.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool),v),y)),u))*.
% 299.97/300.59 83130[0:SpR:685.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,x),hAPP(c_Set_Oinsert(c_COMBK(c_False,tc_bool,u),w),y)),v))*.
% 299.97/300.59 83129[0:SpR:684.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v,w),hAPP(c_Set_Oinsert(x,v),y)),x))*.
% 299.97/300.59 83123[0:SpR:278.1,22323.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.59 83120[0:SpR:277.1,22323.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),w),y)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.59 83118[0:SpR:12282.1,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),w),y)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.59 83114[0:SpR:683.1,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,w),hAPP(c_Set_Oinsert(c_COMBK(c_False,tc_bool,u),v),x)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.59 83113[0:SpR:682.1,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,w),hAPP(c_Set_Oinsert(c_COMBK(c_False,tc_bool,u),v),x)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.59 83111[0:SpR:699.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),w,x),hAPP(c_Set_Oinsert(c_COMBK(c_False,tc_bool,v),w),y)),hAPP(c_fequal(v),u)))*.
% 299.97/300.59 83106[0:SpR:2659.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w),y)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))))*.
% 299.97/300.59 83104[0:SpR:357.1,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,w),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v),x)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.59 83103[0:SpR:441.1,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,w),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v),x)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.59 83074[0:SpR:728.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_COMBC(c_fequal(u),u,u,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),y)),hAPP(c_fequal(u),x)))*.
% 299.97/300.59 83073[0:SpR:418.1,22323.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(u,w),x,y),hAPP(c_Set_Oinsert(v,x),z)),v))*.
% 299.97/300.59 83070[0:SpR:61339.1,22323.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_False))*.
% 299.97/300.59 85380[0:SpL:326.1,84527.0] || hBOOL(c_in(u,v,w))* hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(x,w,tc_bool),v)))* -> hBOOL(hAPP(x,u))*.
% 299.97/300.59 86618[0:Res:86274.1,331.1] || hBOOL(u) hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_False,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w,tc_fun(x,tc_bool)),x))*.
% 299.97/300.59 86613[0:Res:86274.1,106.0] || hBOOL(u) c_Finite__Set_Ofinite(hAPP(v,c_False),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.59 87419[0:Res:1134.1,86811.0] || hBOOL(hAPP(c_fequal(u),c_False)) hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_COMBC(c_fequal(u),u,u,tc_bool)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_fequal(u))).
% 299.97/300.59 87400[0:Res:1533.0,86811.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(v,w,u,x,y),z,x1),c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool)))))*.
% 299.97/300.59 87395[0:Res:156.1,86811.0] class_Orderings_Olinorder(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),w)))*.
% 299.97/300.59 87394[0:Res:518.1,86811.0] class_Orderings_Olinorder(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),w)))*.
% 299.97/300.59 87317[0:Res:3804.1,86811.0] || hBOOL(c_in(u,v,w))* hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),x)))*.
% 299.97/300.59 87311[0:Res:2002.0,86811.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))*.
% 299.97/300.59 87310[0:Res:1528.0,86811.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))*.
% 299.97/300.59 87308[0:Res:156.2,86811.0] class_Orderings_Olinorder(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),w)))*.
% 299.97/300.59 87286[0:Res:1547.0,86811.0] || hBOOL(hAPP(c_fequal(u),v)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_Set_Oinsert(v,u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))*.
% 299.97/300.59 87285[0:Res:2699.0,86811.0] || hBOOL(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_Set_Oinsert(v,u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))*.
% 299.97/300.59 87275[0:Res:4377.1,86811.0] || hBOOL(c_in(u,v,w))* hBOOL(hAPP(x,u))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(x,w,y),v)))*.
% 299.97/300.59 87274[0:Res:3816.1,86811.0] || hBOOL(c_in(u,v,w))* hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),v)))*.
% 299.97/300.59 87149[0:SpL:5292.1,86811.0] class_Orderings_Oorder(u) || hBOOL(v) hBOOL(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool))))*.
% 299.97/300.59 87148[0:SpL:5160.1,86811.0] class_Orderings_Oorder(u) || hBOOL(v) hBOOL(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool))))*.
% 299.97/300.59 87080[0:SpL:1010.2,86811.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OSup__class_OSup(u)))*.
% 299.97/300.59 87079[0:SpL:1009.2,86811.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OInf__class_OInf(u)))*.
% 299.97/300.59 87077[0:SpL:251.0,86811.0] || hBOOL(hAPP(hAPP(u,v),w))* hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_COMBC(u,x,y,z),w)))*.
% 299.97/300.59 86922[0:SpL:707.0,86811.0] || hBOOL(c_COMBK(c_False,tc_bool,u)) hBOOL(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool))))*.
% 299.97/300.59 86915[0:SpL:65.1,86811.0] || hBOOL(hAPP(u,v))* hBOOL(v) -> equal(v,w)* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Fun_Ofun__upd(u,w,x,y,z)))*.
% 299.97/300.59 88330[0:SpL:46.0,22615.0] || equal(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oimage(x,y,v),hAPP(c_Set_Oinsert(z,y),x1))),c_COMBK(c_False,tc_bool,w))** -> .
% 299.97/300.59 88557[0:SpR:22632.0,248.0] || -> hBOOL(c_in(hAPP(c_fequal(u),hAPP(v,w)),hAPP(c_Set_Oimage(c_Set_Oimage(v,x,u),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),z))*.
% 299.97/300.59 88619[0:Rew:1581.0,88543.1] || hBOOL(c_in(c_False,hAPP(c_fequal(u),v),u))* -> hBOOL(hAPP(hAPP(c_fequal(w),c_False),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),v)))*.
% 299.97/300.59 88530[0:SpR:22632.0,361.1] || hBOOL(c_in(u,hAPP(c_fequal(v),w),v))* -> hBOOL(c_in(hAPP(x,u),hAPP(c_fequal(y),hAPP(x,w)),y))*.
% 299.97/300.59 89041[0:SpR:86619.1,22324.0] || hBOOL(u) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),x)),w))*.
% 299.97/300.59 89011[0:SpR:13526.1,22324.0] || hBOOL(u) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(c_COMBK(u,x,y),v),z)),w))*.
% 299.97/300.59 88989[0:SpR:9868.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool),v),y)),w))*.
% 299.97/300.59 88988[0:SpR:8987.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool),v),y)),w))*.
% 299.97/300.59 88987[0:SpR:9635.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool),v),y)),w))*.
% 299.97/300.59 88986[0:SpR:8814.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool),v),y)),w))*.
% 299.97/300.59 88975[0:SpR:63990.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u),w)),v))*.
% 299.97/300.59 88972[0:SpR:13730.1,22324.0] || -> equal(u,c_False) hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v),x)),w))*.
% 299.97/300.59 88971[2:SpR:50419.1,22324.0] || hBOOL(u) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v),x)),w))*.
% 299.97/300.59 88931[0:SpR:20174.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),x),u),y)),v))*.
% 299.97/300.59 88856[0:SpR:714.1,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),w,x),hAPP(c_Set_Oinsert(hAPP(c_fequal(u),v),w),y)),x))*.
% 299.97/300.59 88855[0:SpR:710.1,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),w,x),hAPP(c_Set_Oinsert(hAPP(c_fequal(u),v),w),y)),x))*.
% 299.97/300.59 88853[0:SpR:28268.1,22324.0] || equal(c_False,u) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w,x),hAPP(c_Set_Oinsert(u,w),y)),x))*.
% 299.97/300.59 88850[0:SpR:28267.1,22324.0] || equal(c_False,u) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w,x),hAPP(c_Set_Oinsert(u,w),y)),x))*.
% 299.97/300.59 88843[0:SpR:28266.1,22324.0] || equal(c_False,u) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.59 88839[0:SpR:28269.1,22324.0] || equal(c_False,u) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w,x),hAPP(c_Set_Oinsert(v,w),y)),x))*.
% 299.97/300.59 88769[0:SpR:367.1,22324.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),w),y)),x))*.
% 299.97/300.59 88767[0:SpR:12280.1,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),w),y)),x))*.
% 299.97/300.59 88762[0:SpR:677.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w,x),hAPP(c_Set_Oinsert(c_COMBK(c_False,tc_bool,v),w),y)),x))*.
% 299.97/300.59 88761[0:SpR:540.1,22324.0] class_Orderings_Obot(u) || -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),v,w),hAPP(c_Set_Oinsert(v_x,v),x)),w))*.
% 299.97/300.59 88760[0:SpR:443.1,22324.0] class_Orderings_Otop(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v,w),hAPP(c_Set_Oinsert(v_x,v),x)),w))*.
% 299.97/300.59 88754[0:SpR:19.1,22324.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),w),y)),x))*.
% 299.97/300.59 88752[0:SpR:12562.1,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),w),y)),x))*.
% 299.97/300.59 88746[0:SpR:678.0,22324.0] || -> hBOOL(c_in(c_COMBK(c_False,tc_bool,u),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w,x),hAPP(c_Set_Oinsert(v,w),y)),x))*.
% 299.97/300.59 88743[0:SpR:29202.1,22324.0] || equal(c_False,u) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w,x),hAPP(c_Set_Oinsert(y,w),z)),x))*.
% 299.97/300.59 88741[0:SpR:29751.1,22324.0] || equal(c_False,u) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w,x),hAPP(c_Set_Oinsert(y,w),z)),x))*.
% 299.97/300.59 88719[0:SpR:18.1,22324.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),w,x),hAPP(c_Set_Oinsert(v,w),y)),x))*.
% 299.97/300.59 88715[0:SpR:366.1,22324.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),w,x),hAPP(c_Set_Oinsert(v,w),y)),x))*.
% 299.97/300.59 88704[0:SpR:712.1,22324.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),hAPP(c_Set_Oimage(c_fequal(u),w,x),hAPP(c_Set_Oinsert(v,w),y)),x))*.
% 299.97/300.59 89288[0:SpL:613.0,89273.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(c_False,tc_bool),v))))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))).
% 299.97/300.59 89343[0:Res:474.1,85358.0] || hBOOL(c_in(u,v,tc_bool))* hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),w),v)))* -> hBOOL(u).
% 299.97/300.59 89342[0:Res:475.1,85358.0] || hBOOL(c_in(u,v,tc_bool))* hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),v),w)))* -> hBOOL(u).
% 299.97/300.59 89525[0:Res:15156.0,20047.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_fun(u,tc_bool)),tc_fun(u,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 89521[0:Res:15156.0,86811.0] || hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(v,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),tc_fun(v,tc_bool)))))*.
% 299.97/300.59 89574[0:SSi:89558.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),tc_fun(v,tc_bool)),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))**.
% 299.97/300.59 89575[0:SSi:89557.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),tc_fun(v,tc_bool)),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))**.
% 299.97/300.59 89843[0:SSi:89826.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(u,tc_bool)),w))))* -> .
% 299.97/300.59 89947[0:SpL:411.0,18905.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x))),x))* -> .
% 299.97/300.59 90120[0:SpL:410.0,19117.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x))),w))* -> .
% 299.97/300.59 90149[0:SSi:90119.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(u,tc_bool)),w))),v))* -> .
% 299.97/300.59 90197[2:SpL:405.0,88486.1] || hBOOL(hAPP(u,v)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(u,w,x),hAPP(c_Set_Oinsert(v,w),y))),c_False)** -> .
% 299.97/300.59 90192[2:SpL:410.0,88486.1] || hBOOL(u) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Set_Oinsert(u,v),x))),c_False)** -> .
% 299.97/300.59 90556[0:SSi:90497.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(u,tc_bool)),w))),v)**.
% 299.97/300.59 90592[0:SpR:90441.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),u),w,y),v),y))*.
% 299.97/300.59 90777[0:SpR:90717.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.59 90772[0:SpR:90717.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.59 91107[0:SpL:405.0,87685.0] || hBOOL(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),y)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oinsert(hAPP(u,x),w))).
% 299.97/300.59 91102[0:SpL:410.0,87685.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oinsert(w,u))).
% 299.97/300.59 91390[0:Res:89536.0,10584.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),v)*.
% 299.97/300.59 91611[0:SSi:91557.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(u,tc_bool)),w))),v)**.
% 299.97/300.59 92216[0:SpL:3333.0,84466.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),v))))* -> hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u))).
% 299.97/300.59 92267[0:SpR:3333.0,84656.1] || hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),v))))*.
% 299.97/300.59 92462[0:SpR:54831.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v_x),v))),v_x)),c_False)**.
% 299.97/300.59 92461[0:SpR:54071.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))),v_x)),c_False)**.
% 299.97/300.59 92458[0:SpR:54074.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))),v_x)),c_False)**.
% 299.97/300.59 92455[0:SpR:2160.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),v_x)),c_False)**.
% 299.97/300.59 92451[0:SpR:54075.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),v_x))),v_x)),c_False)**.
% 299.97/300.59 92450[0:SpR:9853.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool))),v_x)),c_False)**.
% 299.97/300.59 92449[0:SpR:8972.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool))),v_x)),c_False)**.
% 299.97/300.59 92448[0:SpR:9620.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool))),v_x)),c_False)**.
% 299.97/300.59 92447[0:SpR:8799.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool))),v_x)),c_False)**.
% 299.97/300.59 92443[0:SpR:1581.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_fequal(u),v_x),v),tc_bool),hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_fequal(u),v)),v_x)),c_False)**.
% 299.97/300.59 92431[0:SpR:186.1,86793.0] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(u),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u))),v_x)),c_False)**.
% 299.97/300.59 92420[0:SpR:684.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v))),v_x)),c_False)**.
% 299.97/300.59 92416[0:SpR:278.1,86793.0] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(u),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u))),v_x)),c_False)**.
% 299.97/300.59 92386[0:SpR:728.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(u),v_x),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),c_COMBC(c_fequal(u),u,u,tc_bool)),v_x)),c_False)**.
% 299.97/300.59 92385[0:SpR:418.1,86793.0] || hBOOL(c_in(u,v_x,v)) -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(w,t_a),c_Set_Oinsert(u,v)),v_x)),c_False)**.
% 299.97/300.59 92513[0:Rew:81840.1,92512.1] || equal(hAPP(hAPP(c_Set_Oinsert(u,t_a),v),v_x),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(hAPP(v,v_x),tc_bool),tc_bool),hAPP(v,v_x)).
% 299.97/300.59 92875[0:SpR:13495.1,24257.0] || hBOOL(hAPP(u,c_False)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(v,tc_bool)),w),u)),c_False))*.
% 299.97/300.59 92564[0:SpR:5302.1,24257.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),tc_fun(w,tc_bool)),x),y)),c_False))*.
% 299.97/300.59 92562[0:SpR:5169.1,24257.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),tc_fun(w,tc_bool)),x),y)),c_False))*.
% 299.97/300.59 92546[0:SpR:13738.1,24257.0] || -> equal(u,c_False) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(v,tc_bool)),w),x)),c_False))*.
% 299.97/300.59 92545[2:SpR:50431.1,24257.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(v,tc_bool)),w),x)),c_False))*.
% 299.97/300.59 92533[0:SpR:50.1,24257.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_fun(w,tc_bool)),x),v)),v))*.
% 299.97/300.59 92532[0:SpR:1919.1,24257.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_fun(w,tc_bool)),x),v)),v))*.
% 299.97/300.59 92531[0:SpR:12821.1,24257.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_fun(w,tc_bool)),x),v)),v))*.
% 299.97/300.59 92530[0:SpR:255.1,24257.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_fun(w,tc_bool)),x),v)),v))*.
% 299.97/300.59 92529[0:SpR:1918.1,24257.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_fun(w,tc_bool)),x),v)),v))*.
% 299.97/300.59 92528[0:SpR:12701.1,24257.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_fun(w,tc_bool)),x),v)),v))*.
% 299.97/300.59 93111[0:SpR:411.0,54506.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x))),x),x)**.
% 299.97/300.59 93204[0:Obv:93174.0] || equal(c_False,u) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u)),tc_bool),u)**.
% 299.97/300.59 93266[0:SpR:93108.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),w))*.
% 299.97/300.59 93406[0:MRR:93357.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),x)),u)),x))*.
% 299.97/300.59 93422[0:SSi:93421.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x))),x),x)**.
% 299.97/300.59 93424[0:SSi:93423.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x))),w),w)**.
% 299.97/300.59 93737[0:Obv:93707.0] || equal(c_False,u) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w)),tc_bool),u)**.
% 299.97/300.59 94264[0:Rew:342.1,94250.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),u)),v)**.
% 299.97/300.59 94207[0:Res:87830.1,20047.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 94204[0:Res:87830.1,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),u))))*.
% 299.97/300.59 94275[0:SSi:94210.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Set_Oimage(x,v,y),u)),tc_fun(y,tc_bool)),y)*.
% 299.97/300.59 94290[0:Res:94262.0,10584.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x)),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.59 94824[0:Res:17248.0,413.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),hAPP(c_Set_Oinsert(x,u),hAPP(c_Set_Oinsert(y,u),v)))))*.
% 299.97/300.59 94785[0:Res:17248.0,86811.0] || hBOOL(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(v,tc_bool)),x))).
% 299.97/300.59 94836[0:SSi:94815.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x)),x,tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))**.
% 299.97/300.59 94837[0:SSi:94814.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x)),x,tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))**.
% 299.97/300.59 95058[0:Res:10597.1,1431.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),v) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),u),x,v)*.
% 299.97/300.59 95293[0:Res:10598.1,1431.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),v) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),u),w),x,v)*.
% 299.97/300.59 95948[0:SSi:95858.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(c_in(u,v,t_a)) equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(v,v_x),tc_bool),hAPP(hAPP(c_fequal(t_a),u),v_x)),hAPP(v,v_x))**.
% 299.97/300.59 96026[0:Res:21881.1,20047.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_fequal(w),v,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 96023[0:Res:21881.1,86811.0] || hBOOL(c_in(u,v,w))* hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_fequal(x),w,tc_fun(y,tc_bool))))*.
% 299.97/300.59 96084[0:Res:87828.1,755.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u),v,u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.59 96179[0:Res:87846.1,755.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),c_False,u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.59 96884[0:Res:87827.1,755.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),v,u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.59 96933[0:SpR:5136.1,13347.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),w))* equal(w,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.59 96932[0:SpR:5266.1,13347.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),w))* equal(w,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.59 97045[0:Res:87839.1,755.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),v,u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.59 97550[0:SpR:9924.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OInf__class_OInf(tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool))))*.
% 299.97/300.59 97549[0:SpR:9032.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OInf__class_OInf(tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool))))*.
% 299.97/300.59 97546[0:SpR:9690.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OInf__class_OInf(tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool))))*.
% 299.97/300.59 97545[0:SpR:8858.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OInf__class_OInf(tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool))))*.
% 299.97/300.59 97511[0:SpR:20154.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))*.
% 299.97/300.59 97469[0:SpR:20242.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w))))*.
% 299.97/300.59 97468[0:SpR:20206.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_lessequals(tc_bool),w))))*.
% 299.97/300.59 97467[0:SpR:20243.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False))))*.
% 299.97/300.59 97367[0:SpR:90441.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),u)),x),u)))*.
% 299.97/300.59 97248[0:SpR:34.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Fun_Ofun__upd(w,x,u,y,z)),x1),x)))*.
% 299.97/300.59 97233[0:SpR:256.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u)),x),u)))*.
% 299.97/300.59 97649[0:SSi:97648.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(u,v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u),x),v)),hAPP(u,v))**.
% 299.97/300.59 97651[0:SSi:97650.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(u,v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u),x),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.59 98060[0:SpR:9924.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool))))*.
% 299.97/300.59 98059[0:SpR:9032.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool))))*.
% 299.97/300.59 98056[0:SpR:9690.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool))))*.
% 299.97/300.59 98055[0:SpR:8858.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool))))*.
% 299.97/300.59 98021[0:SpR:20154.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))*.
% 299.97/300.59 97979[0:SpR:20242.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w))))*.
% 299.97/300.59 97978[0:SpR:20206.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(tc_bool),w))))*.
% 299.97/300.59 97977[0:SpR:20243.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False))))*.
% 299.97/300.59 97877[0:SpR:90441.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),u)),u)))*.
% 299.97/300.59 97758[0:SpR:34.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Fun_Ofun__upd(x,y,u,z,x1)),y)))*.
% 299.97/300.59 97743[0:SpR:256.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u)),u)))*.
% 299.97/300.59 98159[0:SSi:98158.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(u,v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),u),v)),hAPP(u,v))**.
% 299.97/300.59 98161[0:SSi:98160.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(u,v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),u),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.59 98190[0:Res:1392.0,85358.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))* -> hBOOL(v).
% 299.97/300.59 98376[0:SSi:98360.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_fequal(u),v),w,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))** hBOOL(c_in(v,w,u)).
% 299.97/300.59 98377[0:SSi:98345.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(hAPP(c_fequal(u),v),w,tc_fun(u,tc_bool)))* -> hBOOL(c_in(v,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),w),u)).
% 299.97/300.59 98872[0:SpR:92404.0,35.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False)),v_x),c_False,v,w),c_HOL_Ominus__class_Ominus(v_x,tc_bool))**.
% 299.97/300.59 98929[0:SpR:92438.0,35.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v_x)),v_x),c_False,v,w),c_HOL_Ominus__class_Ominus(v_x,tc_bool))**.
% 299.97/300.59 98986[0:SpR:92468.0,35.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x)),v_x),c_False,v,w),c_HOL_Ominus__class_Ominus(v_x,tc_bool))**.
% 299.97/300.59 99655[0:Obv:99625.1] class_Orderings_Obot(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_Orderings_Obot__class_Obot(u),v,u),c_COMBK(c_False,tc_bool,u))** -> equal(v,c_Orderings_Obot__class_Obot(u)).
% 299.97/300.59 99656[0:Obv:99624.1] class_Orderings_Obot(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastLessThan(c_Orderings_Obot__class_Obot(u),v,u),c_COMBK(c_False,tc_bool,u))** -> equal(v,c_Orderings_Obot__class_Obot(u)).
% 299.97/300.59 99787[0:Obv:99764.1] class_Orderings_Otop(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_Orderings_Otop__class_Otop(u),u),c_COMBK(c_False,tc_bool,u))** -> equal(c_Orderings_Otop__class_Otop(u),v).
% 299.97/300.59 99788[0:Obv:99763.1] class_Orderings_Otop(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_Orderings_Otop__class_Otop(u),u),c_COMBK(c_False,tc_bool,u))** -> equal(c_Orderings_Otop__class_Otop(u),v).
% 299.97/300.59 99939[0:Res:15143.2,20047.0] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 100104[0:Res:15144.2,20047.0] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 100359[0:SSi:100316.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),tc_fun(x,tc_bool)),x))* -> hBOOL(c_in(v,w,x)).
% 299.97/300.59 100360[0:SSi:100315.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Olower__semilattice(u) || c_Fun_Oinj__on(v,w,x,y) -> c_Fun_Oinj__on(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),tc_fun(x,tc_bool)),x,y)*.
% 299.97/300.59 100643[0:SSi:100600.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),tc_fun(x,tc_bool)),x))* -> hBOOL(c_in(v,w,x)).
% 299.97/300.59 100644[0:SSi:100599.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Oupper__semilattice(u) || c_Fun_Oinj__on(v,w,x,y) -> c_Fun_Oinj__on(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),tc_fun(x,tc_bool)),x,y)*.
% 299.97/300.59 101238[0:Res:1411.0,85358.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))* -> hBOOL(hAPP(c_fequal(v),u)).
% 299.97/300.59 101298[0:SSi:101274.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_fequal(t_a),v_x)),v_x))))*.
% 299.97/300.59 101652[0:SSi:101633.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_fequal(t_a),v_x)),v_x)),w)))*.
% 299.97/300.59 101954[0:Res:6062.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),hAPP(c_fequal(v),hAPP(hAPP(c_fequal(t_a),v_x),v_x))))))*.
% 299.97/300.59 101945[0:Res:8390.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(hAPP(hAPP(c_fequal(t_a),v_x),v_x),u),w))))*.
% 299.97/300.59 101914[0:Res:41.1,101661.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_fequal(t_a),v_x),v_x)))))*.
% 299.97/300.59 101913[0:Res:37.1,101661.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_fequal(t_a),v_x),v_x)))))*.
% 299.97/300.59 101890[0:Res:87827.1,101661.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),u))))*.
% 299.97/300.59 101857[0:Res:83409.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_fequal(t_a),v_x),v_x),tc_bool),u,v),hAPP(c_Set_Oinsert(c_False,u),w))))*.
% 299.97/300.59 101855[0:Res:1928.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))))*.
% 299.97/300.59 101853[0:Res:1539.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_COMBK(hAPP(hAPP(c_fequal(t_a),v_x),v_x),u,v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))*.
% 299.97/300.59 101850[0:Res:1554.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))))*.
% 299.97/300.59 101835[0:Res:320.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_fequal(t_a),v_x),v_x),tc_fun(u,tc_bool)),v))))*.
% 299.97/300.59 101833[0:Res:42.1,101661.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v))))*.
% 299.97/300.59 101832[0:Res:36.1,101661.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v))))*.
% 299.97/300.59 101774[0:SpL:1581.0,101661.0] || hBOOL(hAPP(hAPP(c_fequal(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(u),v))).
% 299.97/300.59 101720[0:SpL:728.0,101661.0] || hBOOL(hAPP(c_fequal(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_COMBC(c_fequal(u),u,u,tc_bool)))*.
% 299.97/300.59 102584[0:Res:2163.1,13885.0] || c_Finite__Set_Ofinite(u,v)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),x),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.59 102552[0:SpL:35267.1,13885.0] || equal(c_False,u) c_Finite__Set_Ofinite(u,v)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.59 102391[0:SpL:8037.0,13885.0] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.59 102389[0:SpL:5568.0,13885.0] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),u),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.59 102353[0:SpL:1461.0,13885.0] || c_Finite__Set_Ofinite(hAPP(c_fequal(u),v),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),c_Set_Oinsert(v,u),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.59 102247[0:SpL:2659.0,13885.0] || c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),c_Set_Oinsert(x,u),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.59 102209[0:SpL:34.0,13885.0] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),c_Fun_Ofun__upd(x,y,u,z,x1),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.59 102713[0:SpR:28268.1,26903.1] || equal(c_False,v_x) hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),t_a)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)))*.
% 299.97/300.59 102698[0:SpR:28269.1,26903.1] || equal(c_False,u) hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x)))*.
% 299.97/300.59 102658[0:SpR:540.1,26903.1] class_Orderings_Obot(u) || hBOOL(c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),t_a)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.59 102657[0:SpR:443.1,26903.1] class_Orderings_Otop(u) || hBOOL(c_in(v_x,c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),t_a)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(u))))*.
% 299.97/300.59 102651[0:SpR:678.0,26903.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(v_x,tc_fun(u,tc_bool)),t_a)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),c_COMBK(c_False,tc_bool,u))))*.
% 299.97/300.59 102624[0:SpR:18.1,26903.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.59 102620[0:SpR:366.1,26903.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.59 102609[0:SpR:712.1,26903.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,c_fequal(u),t_a)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u))))*.
% 299.97/300.59 102839[0:Res:87814.2,24826.1] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Olinorder(v) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),w,v),w))*.
% 299.97/300.59 102838[0:Res:87811.2,24826.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Olinorder(v) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),w,v),w))*.
% 299.97/300.59 102825[0:Res:15143.2,24826.1] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u),w,u),w))*.
% 299.97/300.59 102824[0:Res:15144.2,24826.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u),w,u),w))*.
% 299.97/300.59 102903[0:Res:102864.1,101661.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_fequal(t_a),v_x),v_x),hAPP(hAPP(c_fequal(t_a),v_x),v_x),u)))*.
% 299.97/300.59 102947[0:Res:236.0,25011.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),tc_fun(u,tc_bool)),v))*.
% 299.97/300.59 102946[0:Res:237.0,25011.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v),tc_fun(u,tc_bool)),v))*.
% 299.97/300.59 103471[0:SpR:3333.0,87848.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),u)),hAPP(c_Set_Oinsert(x,w),hAPP(c_fequal(w),v))))*.
% 299.97/300.59 103535[0:SSi:103504.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),tc_fun(x,tc_bool)),x))* -> hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),y),x))*.
% 299.97/300.59 103536[0:SSi:103503.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Fun_Oinj__on(u,hAPP(c_Set_Oinsert(v,w),x),y,z)* -> c_Fun_Oinj__on(u,c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),tc_fun(y,tc_bool)),y,z)*.
% 299.97/300.59 103826[0:SpR:712.1,1057.0] class_Orderings_Oorder(u) || -> equal(c_Fun_Ofun__upd(c_Set_Oinsert(v,u),c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,x),c_Set_Oinsert(v,u))**.
% 299.97/300.59 103941[0:Res:3790.1,20374.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_fequal(u),v),u))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,u),w)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 103931[0:Res:3790.1,88451.0] || hBOOL(c_in(u,hAPP(c_fequal(v),w),v))* hBOOL(u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(w,v),x)))*.
% 299.97/300.59 103930[0:Res:3790.1,85358.0] || hBOOL(c_in(u,hAPP(c_fequal(tc_bool),v),tc_bool))* hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),w)))* -> hBOOL(u).
% 299.97/300.59 104634[0:Res:22324.0,21899.0] || -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),y)),c_Set_Oinsert(z,x1),w,tc_fun(x2,tc_bool)),z))*.
% 299.97/300.59 104676[0:Res:104638.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_lessequals(tc_bool),c_False),c_Set_Oinsert(hAPP(hAPP(c_fequal(t_a),v_x),v_x),u),v,tc_fun(w,tc_bool))))*.
% 299.97/300.59 104683[0:Res:104668.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_Set_Oinsert(hAPP(hAPP(c_fequal(t_a),v_x),v_x),u),v,tc_fun(w,tc_bool))))*.
% 299.97/300.59 104690[0:Res:104648.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_Set_Oinsert(hAPP(hAPP(c_fequal(t_a),v_x),v_x),v),w,tc_fun(x,tc_bool))))*.
% 299.97/300.59 104793[0:Res:1397.0,85358.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(u,v,w,x,y),z,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool)))))* -> hBOOL(w).
% 299.97/300.59 105343[0:Rew:22405.1,105295.1] class_Orderings_Oorder(u) || -> equal(hAPP(c_Set_Oinsert(c_False,tc_bool),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),u,tc_bool),w)),hAPP(c_fequal(tc_bool),c_False))**.
% 299.97/300.59 105344[0:Rew:22406.1,105294.1] class_Orderings_Oorder(u) || -> equal(hAPP(c_Set_Oinsert(c_False,tc_bool),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),u,tc_bool),w)),hAPP(c_fequal(tc_bool),c_False))**.
% 299.97/300.59 105357[0:MRR:105356.0,1055.0] || c_Fun_Oinj__on(c_COMBK(u,v,w),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),w,v)* -> hBOOL(c_in(x,hAPP(c_Set_Oinsert(y,w),z),w))*.
% 299.97/300.59 105707[2:Res:137.1,105084.1] || c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,tc_bool,tc_bool)* hBOOL(u) -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),w),tc_bool)*.
% 299.97/300.59 105757[0:Res:137.1,105085.0] || c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,tc_bool,tc_bool)* -> equal(u,c_False) c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),w),tc_bool)*.
% 299.97/300.59 105835[0:Res:137.1,105065.1] class_Orderings_Oorder(u) || c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,u,tc_bool)* -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool)),x),u)*.
% 299.97/300.59 105973[0:Res:137.1,105066.1] class_Orderings_Oorder(u) || c_Fun_Oinj__on(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,u,tc_bool)* -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool)),x),u)*.
% 299.97/300.59 106105[0:SpL:28268.1,73923.1] || equal(c_False,v_x) hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False)) -> .
% 299.97/300.59 106090[0:SpL:28269.1,73923.1] || equal(c_False,u) hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.59 106050[0:SpL:540.1,73923.1] class_Orderings_Obot(u) || hBOOL(c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),t_a)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),c_False))* -> .
% 299.97/300.59 106049[0:SpL:443.1,73923.1] class_Orderings_Otop(u) || hBOOL(c_in(v_x,c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),t_a)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),c_False))* -> .
% 299.97/300.59 106043[0:SpL:678.0,73923.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(v_x,tc_fun(u,tc_bool)),t_a)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),c_False))* -> .
% 299.97/300.59 106016[0:SpL:18.1,73923.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.59 106012[0:SpL:366.1,73923.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.59 106001[0:SpL:712.1,73923.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,c_fequal(u),t_a)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u)),c_False))* -> .
% 299.97/300.59 106258[0:SpR:106169.0,709.0] || -> equal(c_Product__Type_OSigma(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),w,tc_fun(v,tc_bool),x),c_COMBK(c_False,tc_bool,tc_prod(tc_fun(v,tc_bool),x)))**.
% 299.97/300.59 106256[0:SpR:106169.0,708.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),tc_fun(tc_fun(v,tc_bool),tc_bool)),w),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)))**.
% 299.97/300.59 106523[0:SpL:106281.0,13885.0] || c_Finite__Set_Ofinite(c_False,u) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_fun(x,tc_bool)),v,tc_fun(u,tc_bool)),u)*.
% 299.97/300.59 106464[0:SpR:106281.0,361.1] || hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_fun(y,tc_bool)),w,z),v),z))*.
% 299.97/300.59 106819[0:SpL:5228.0,44153.1] || equal(c_False,u) equal(hAPP(c_lessequals(tc_bool),u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,x).
% 299.97/300.59 106813[0:SpL:5228.0,4386.1] class_Orderings_Obot(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,x).
% 299.97/300.59 106809[0:SpL:5228.0,6216.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,x).
% 299.97/300.59 106805[0:SpL:5228.0,673.0] || hBOOL(hAPP(c_Finite__Set_Ofold1Set(u,c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)),y))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,x).
% 299.97/300.59 106941[0:SpR:106423.0,709.0] || -> equal(c_Product__Type_OSigma(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),w,tc_fun(v,tc_bool),x),c_COMBK(c_False,tc_bool,tc_prod(tc_fun(v,tc_bool),x)))**.
% 299.97/300.59 106939[0:SpR:106423.0,708.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),tc_fun(tc_fun(v,tc_bool),tc_bool)),w),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)))**.
% 299.97/300.59 107169[0:SpL:106967.0,13885.0] || c_Finite__Set_Ofinite(c_False,u) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(x,tc_bool)),v,tc_fun(u,tc_bool)),u)*.
% 299.97/300.59 107110[0:SpR:106967.0,361.1] || hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_fun(y,tc_bool)),w,z),v),z))*.
% 299.97/300.59 107350[0:Res:15143.2,15236.2] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Obot(u) class_Orderings_Oorder(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.59 107349[0:Res:15144.2,15236.2] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Obot(u) class_Orderings_Oorder(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.59 107348[0:Res:87830.1,15236.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Obot(u) class_Orderings_Oorder(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Orderings_Obot__class_Obot(u)),u),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.59 110173[0:SpL:79862.1,29830.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** equal(c_False,v) equal(c_SetInterval_Oord__class_OatLeastLessThan(w,v,tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))** -> .
% 299.97/300.59 110172[0:SpL:79862.1,29281.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** equal(c_False,v) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,v,tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))** -> .
% 299.97/300.59 110169[0:SpL:79862.1,4172.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) c_Fun_Oinj__on(v,c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),u,w)* -> c_Fun_Oinj__on(v,x,u,w)*.
% 299.97/300.59 110165[0:SpL:79862.1,23527.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** equal(v,c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 110142[2:SpL:79862.1,49063.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),c_False)** -> .
% 299.97/300.59 110077[0:SpR:79862.1,16120.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),w))*.
% 299.97/300.59 110074[0:SpR:79862.1,14946.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v,tc_bool),u,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),v))*.
% 299.97/300.59 110073[0:SpR:79862.1,14847.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v,tc_bool),u,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),c_False))*.
% 299.97/300.59 110072[0:SpR:79862.1,20303.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.59 110059[0:SpR:79862.1,1430.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(v,u,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),hAPP(v,x)))*.
% 299.97/300.59 110054[0:SpR:79862.1,103724.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> c_Hoare__Mirabelle_Ohoare__derivs(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,u),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.59 110053[0:SpR:79862.1,102580.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),c_Set_Oinsert(v,w),u,tc_fun(w,tc_bool)),w)*.
% 299.97/300.59 110044[0:SpR:79862.1,20294.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),c_Orderings_Otop__class_Otop(tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool))**.
% 299.97/300.59 110036[0:SpR:79862.1,10477.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.59 110035[0:SpR:79862.1,3225.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),v))*.
% 299.97/300.59 110893[0:SpR:1523.1,42995.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(u),v),tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.59 111079[0:SpL:61331.1,84874.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)))* -> c_Finite__Set_Ofinite(v,tc_bool).
% 299.97/300.59 111424[2:Res:87803.2,47875.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || equal(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),c_Orderings_Obot__class_Obot(u)),c_False)** -> .
% 299.97/300.59 111388[0:Res:87803.2,15236.2] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Obot(u) class_Orderings_Oorder(u) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.59 111434[0:SSi:111390.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Obounded__lattice(u) || c_Hoare__Mirabelle_Ohoare__derivs(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x,w)* -> c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(u),x,w).
% 299.97/300.59 111435[0:SSi:111389.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Obounded__lattice(u) || c_Hoare__Mirabelle_Ohoare__derivs(v,c_Orderings_Obot__class_Obot(u),w) -> c_Hoare__Mirabelle_Ohoare__derivs(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.59 111652[2:Res:87806.2,47875.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || equal(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),c_Orderings_Otop__class_Otop(u)),c_False)** -> .
% 299.97/300.59 111667[0:SSi:111618.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Obounded__lattice(u) || c_Hoare__Mirabelle_Ohoare__derivs(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x,w)* -> c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Otop__class_Otop(u),x,w).
% 299.97/300.59 111668[0:SSi:111617.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Obounded__lattice(u) || c_Hoare__Mirabelle_Ohoare__derivs(v,c_Orderings_Otop__class_Otop(u),w) -> c_Hoare__Mirabelle_Ohoare__derivs(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.59 111889[2:Res:87817.2,47875.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || equal(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v)),w),c_False)** -> .
% 299.97/300.59 112143[2:Res:87818.2,47875.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || equal(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v)),w),c_False)** -> .
% 299.97/300.59 112349[2:Res:1393.1,47875.1] class_Lattices_Oupper__semilattice(u) || equal(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x),c_False)** -> .
% 299.97/300.59 112370[2:Res:1394.1,47875.1] class_Lattices_Olower__semilattice(u) || equal(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x),c_False)** -> .
% 299.97/300.59 112479[0:SpL:28268.1,99791.1] || equal(c_False,v_x) hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u)) -> .
% 299.97/300.59 112464[0:SpL:28269.1,99791.1] || equal(c_False,u) hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.59 112424[0:SpL:540.1,99791.1] class_Orderings_Obot(u) || hBOOL(c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),t_a)) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_Orderings_Obot__class_Obot(u)))* -> .
% 299.97/300.59 112423[0:SpL:443.1,99791.1] class_Orderings_Otop(u) || hBOOL(c_in(v_x,c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),t_a)) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_Orderings_Otop__class_Otop(u)))* -> .
% 299.97/300.59 112416[0:SpL:678.0,99791.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(v_x,tc_fun(u,tc_bool)),t_a)) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_COMBK(c_False,tc_bool,u)))* -> .
% 299.97/300.59 112387[0:SpL:18.1,99791.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.59 112383[0:SpL:366.1,99791.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.59 112372[0:SpL:712.1,99791.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,c_fequal(u),t_a)) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u)))* -> .
% 299.97/300.59 112533[2:Res:1404.1,47875.1] class_Lattices_Obounded__lattice(u) || equal(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x),c_False)** -> .
% 299.97/300.59 112572[2:Res:1412.0,47875.1] || equal(c_in(c_COMBK(c_False,tc_bool,u),hAPP(c_Set_Oimage(c_Set_Oimage(v,w,u),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y),c_False)** -> .
% 299.97/300.59 112627[2:Res:1415.1,47875.1] class_Lattices_Obounded__lattice(u) || equal(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x),c_False)** -> .
% 299.97/300.59 112665[2:SpL:326.1,102170.0] || hBOOL(c_in(v_x,u,v)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_fequal(t_a),v_x),v,w),u)),c_False)** -> .
% 299.97/300.59 112733[2:Res:1784.1,47875.1] class_Lattices_Olattice(u) || equal(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x),c_False)** -> .
% 299.97/300.59 112859[0:SpR:61331.1,111162.1] class_Lattices_Oupper__semilattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_bool)) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.59 112885[2:Res:1887.1,47875.1] class_Lattices_Olattice(u) || equal(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x),c_False)** -> .
% 299.97/300.59 112905[0:SpR:61331.1,111163.1] class_Lattices_Olower__semilattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_bool)) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool)),tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 299.97/300.59 115306[0:SpR:8807.0,248.0] || -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.59 115764[0:SpR:8980.0,248.0] || -> hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.59 1230[0:SpR:424.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,v,w,x,y),z,hAPP(u,hAPP(v,z)),x1,x2),c_Fun_Ocomp(u,v,w,x,y))**.
% 299.97/300.59 1236[0:SpR:149.0,35.0] || -> equal(c_Fun_Ofun__upd(c_COMBB(u,v,w,x,y),z,hAPP(u,hAPP(v,z)),x1,x2),c_COMBB(u,v,w,x,y))**.
% 299.97/300.59 1257[0:SpR:707.0,35.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v),w,x),c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)))**.
% 299.97/300.59 1368[0:Res:533.1,530.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),c_False)) -> c_Hoare__Mirabelle_Ohoare__derivs(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v)),v,u)*.
% 299.97/300.59 1428[0:SpR:149.0,248.0] || -> hBOOL(c_in(hAPP(u,hAPP(v,w)),hAPP(c_Set_Oimage(c_COMBB(u,v,x,y,z),x1,x2),c_Orderings_Otop__class_Otop(tc_fun(x1,tc_bool))),x2))*.
% 299.97/300.59 1427[0:SpR:424.0,248.0] || -> hBOOL(c_in(hAPP(u,hAPP(v,w)),hAPP(c_Set_Oimage(c_Fun_Ocomp(u,v,x,y,z),x1,x2),c_Orderings_Otop__class_Otop(tc_fun(x1,tc_bool))),x2))*.
% 299.97/300.59 1579[0:SpR:251.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_COMBC(u,v,w,x),y),z,x1),c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool))),hAPP(hAPP(u,x2),y)))*.
% 299.97/300.59 1631[0:SpR:65.1,1430.0] || -> equal(u,v) hBOOL(hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(w,v,x,y,z),x1,x2),c_Orderings_Otop__class_Otop(tc_fun(x1,tc_bool))),hAPP(w,u)))*.
% 299.97/300.59 1783[0:SpR:11.1,35.0] class_Lattices_Olattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v,x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))**.
% 299.97/300.59 1886[0:SpR:3.1,35.0] class_Lattices_Olattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),v,x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))**.
% 299.97/300.59 2049[0:SpR:342.1,35.0] class_Lattices_Oupper__semilattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))**.
% 299.97/300.59 2132[0:SpR:167.1,35.0] class_Lattices_Olower__semilattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))**.
% 299.97/300.59 2245[0:SpR:343.1,35.0] class_Lattices_Olattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))**.
% 299.97/300.59 2331[0:SpR:168.1,35.0] class_Lattices_Olattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))**.
% 299.97/300.59 2370[0:SpR:2281.1,35.0] class_Lattices_Olattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),v,x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))**.
% 299.97/300.59 2418[0:SpR:2367.1,35.0] class_Lattices_Olattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),v,x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))**.
% 299.97/300.59 2595[0:Rew:1581.0,2587.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_fequal(u),v),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))))* -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_False)).
% 299.97/300.59 2579[0:SpR:1597.1,35.0] class_Orderings_Oorder(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_fequal(u),v),w,hAPP(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),v),x,y),hAPP(c_fequal(u),v))**.
% 299.97/300.59 2574[0:SpR:1597.1,35.0] class_Orderings_Oorder(u) || -> equal(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,hAPP(hAPP(c_fequal(u),w),v),x,y),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))**.
% 299.97/300.59 2626[0:Rew:1597.1,2619.2] class_Orderings_Oorder(u) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_fequal(u),v))))* -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,u),v)).
% 299.97/300.59 2609[0:SpR:2578.1,35.0] class_Orderings_Oorder(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_fequal(u),v),w,hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w),x,y),hAPP(c_fequal(u),v))**.
% 299.97/300.59 2602[0:SpR:2578.1,35.0] class_Orderings_Oorder(u) || -> equal(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,hAPP(hAPP(c_fequal(u),v),w),x,y),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))**.
% 299.97/300.59 2683[0:Rew:2651.0,2682.1] || hBOOL(hAPP(c_Set_Oinsert(u,v),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_fequal(v),u)))))* -> hBOOL(hAPP(c_Set_Oinsert(u,v),c_False)).
% 299.97/300.59 2685[0:Rew:2651.0,2684.0] || hBOOL(hAPP(c_Set_Oinsert(u,v),c_False)) -> hBOOL(hAPP(c_Set_Oinsert(u,v),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_fequal(v),u)))))*.
% 299.97/300.59 2714[0:SpR:2678.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),v),v,x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v))**.
% 299.97/300.59 2984[0:SpR:2594.1,35.0] class_Orderings_Oorder(u) || -> equal(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,hAPP(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),v),x,y),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))**.
% 299.97/300.59 3091[0:SpL:3059.1,531.0] || equal(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(c_Set_Oinsert(u,v)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) hBOOL(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) -> hBOOL(hAPP(c_Set_Oinsert(u,v),c_False))*.
% 299.97/300.59 3077[0:SpR:3059.1,35.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) -> equal(c_Fun_Ofun__upd(c_Set_Oinsert(w,v),u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),x,y),c_Set_Oinsert(w,v))**.
% 299.97/300.59 3076[0:SpR:3059.1,533.1] || equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_Set_Oinsert(u,v)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) hBOOL(hAPP(c_Set_Oinsert(u,v),c_False))* -> hBOOL(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))).
% 299.97/300.59 3178[0:SSi:3173.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u),v,w),c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)))**.
% 299.97/300.59 3213[0:SSi:3208.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_COMBK(c_False,tc_bool,u),v,w),c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)))**.
% 299.97/300.59 3289[0:Rew:411.0,3284.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),y))),x,v)*.
% 299.97/300.59 3283[0:Res:1476.0,599.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oinsert(v,tc_Hoare__Mirabelle_Otriple(w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x),y)),w)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,x,w).
% 299.97/300.59 3313[0:Res:1486.0,597.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(u)),hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(u)),y))),y,u)*.
% 299.97/300.59 3312[0:Res:1486.0,599.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(v)),y)),v)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,y,v).
% 299.97/300.59 3329[0:SpR:2651.0,248.0] || -> hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.59 3390[0:Res:3270.0,597.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(v)),y))),y,v)*.
% 299.97/300.59 3389[0:Res:3270.0,599.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oinsert(v,tc_Hoare__Mirabelle_Otriple(w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x),y)),w)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,y,w).
% 299.97/300.59 3421[0:Res:3395.0,599.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oinsert(v,tc_Hoare__Mirabelle_Otriple(w)),x),w)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x),y),w)*.
% 299.97/300.59 3450[0:Res:3396.0,599.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oinsert(v,tc_Hoare__Mirabelle_Otriple(w)),x),w)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),y),x),w)*.
% 299.97/300.59 3472[0:Res:1447.1,599.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w)* c_Hoare__Mirabelle_Ohoare__derivs(x,u,w)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),v),y),w)*.
% 299.97/300.59 3474[0:Res:29.2,531.0] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_lessequals(u),v))))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)).
% 299.97/300.59 3480[0:Res:533.1,3478.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),c_False)) -> c_Hoare__Mirabelle_Ohoare__derivs(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v)),v,u)*.
% 299.97/300.59 3543[0:Res:1436.0,1485.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),y))),y,v)*.
% 299.97/300.59 3550[0:Res:28.2,531.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_lessequals(u),v))))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)).
% 299.97/300.59 3571[0:Res:1493.1,599.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w)* c_Hoare__Mirabelle_Ohoare__derivs(x,u,w)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),y),v),w)*.
% 299.97/300.59 3633[0:SpL:3333.0,610.0] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w)),x))* -> hBOOL(hAPP(hAPP(c_fequal(v),u),x)) equal(w,x).
% 299.97/300.59 3618[0:SpR:3333.0,248.0] || -> hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w)),hAPP(c_Set_Oimage(c_Set_Oinsert(w,v),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.59 3617[0:SpR:3333.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w),hAPP(c_Set_Oinsert(w,v),hAPP(c_fequal(v),u)),x,y),c_Set_Oinsert(u,v))**.
% 299.97/300.59 3600[0:SpR:3333.0,418.1] || hBOOL(c_in(u,hAPP(c_fequal(v),w),v)) -> equal(hAPP(c_Set_Oinsert(w,v),hAPP(c_fequal(v),u)),hAPP(c_fequal(v),w))**.
% 299.97/300.59 4003[0:SpL:1091.0,1141.0] || hBOOL(c_COMBK(c_False,tc_bool,u)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u))),c_False))*.
% 299.97/300.59 4002[0:SpL:279.0,1141.0] || hBOOL(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))),c_False))*.
% 299.97/300.59 4294[0:SpR:50.1,361.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x,y),w),y))*.
% 299.97/300.59 4293[0:SpR:1919.1,361.1] class_Lattices_Olattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x,y),w),y))*.
% 299.97/300.59 4292[0:SpR:255.1,361.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x,y),w),y))*.
% 299.97/300.59 4291[0:SpR:1918.1,361.1] class_Lattices_Olattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x,y),w),y))*.
% 299.97/300.59 4544[0:SpR:714.1,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),x,y),w),v))*.
% 299.97/300.59 4543[0:SpR:710.1,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),x,y),w),v))*.
% 299.97/300.59 4512[0:SpR:367.1,4377.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w,y),v),x))*.
% 299.97/300.59 4506[0:SpR:677.0,4377.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_fun(u,tc_bool)),w,y),v),x))*.
% 299.97/300.59 4505[0:SpR:540.1,4377.1] class_Orderings_Obot(u) || hBOOL(c_in(v_x,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),w,x),v),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.59 4504[0:SpR:443.1,4377.1] class_Orderings_Otop(u) || hBOOL(c_in(v_x,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),w,x),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.59 4498[0:SpR:19.1,4377.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w,y),v),x))*.
% 299.97/300.59 4495[0:SpR:678.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_fun(x,tc_bool)),w,y),v),c_COMBK(c_False,tc_bool,x)))*.
% 299.97/300.59 4482[0:SpR:18.1,4377.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),x,y),w),v))*.
% 299.97/300.59 4481[0:SpR:366.1,4377.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),x,y),w),v))*.
% 299.97/300.59 4475[0:SpR:712.1,4377.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_fequal(u),x,y),w),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)))*.
% 299.97/300.59 4599[0:SpL:928.1,4436.0] class_Orderings_Obot(u) || equal(c_Fun_Ofun__upd(c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),v_x,v,w,x),c_Orderings_Obot__class_Obot(tc_fun(t_a,u)))** -> equal(c_Orderings_Obot__class_Obot(u),v).
% 299.97/300.59 4598[0:SpL:925.1,4436.0] class_Orderings_Otop(u) || equal(c_Fun_Ofun__upd(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v_x,v,w,x),c_Orderings_Otop__class_Otop(tc_fun(t_a,u)))** -> equal(c_Orderings_Otop__class_Otop(u),v).
% 299.97/300.59 4780[0:SpL:187.1,4686.0] class_Lattices_Obounded__lattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x)),c_False))*.
% 299.97/300.59 4769[0:SpL:277.1,4686.0] class_Lattices_Obounded__lattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x)),c_False))*.
% 299.97/300.59 4761[0:SpL:540.1,4686.0] class_Orderings_Obot(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),c_Orderings_Obot__class_Obot(tc_fun(t_a,u))),c_False))*.
% 299.97/300.59 4760[0:SpL:443.1,4686.0] class_Orderings_Otop(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),c_Orderings_Otop__class_Otop(tc_fun(t_a,u))),c_False))*.
% 299.97/300.59 4757[0:SpL:707.0,4686.0] || hBOOL(c_COMBK(c_False,tc_bool,u)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),c_HOL_Ominus__class_Ominus(x,tc_fun(u,tc_bool))),c_False))*.
% 299.97/300.59 4738[0:SpL:18.1,4686.0] class_Lattices_Obounded__lattice(u) || hBOOL(v)* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),c_False))*.
% 299.97/300.59 4737[0:SpL:366.1,4686.0] class_Lattices_Obounded__lattice(u) || hBOOL(v)* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),c_False))*.
% 299.97/300.59 4731[0:SpL:712.1,4686.0] class_Orderings_Oorder(u) || hBOOL(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),c_fequal(u)),c_False))*.
% 299.97/300.59 5110[0:Res:533.1,5078.0] || hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),c_False)) -> hBOOL(hAPP(u,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w))))*.
% 299.97/300.59 5182[0:SpL:5136.1,730.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u)))* -> equal(v,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.59 5229[0:SSi:5226.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(u,v))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(u,w,tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(x,tc_bool)))* hBOOL(hAPP(w,v))*.
% 299.97/300.59 5230[0:SSi:5223.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_COMBK(c_False,tc_bool,v),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))** equal(u,c_COMBK(c_False,tc_bool,v)).
% 299.97/300.59 5234[0:SpR:5169.1,361.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(y,y,u),x,z),w),z))*.
% 299.97/300.59 5314[0:SpL:5266.1,730.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u)))* -> equal(v,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.59 5387[0:Res:29.2,451.1] class_Orderings_Opreorder(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w).
% 299.97/300.59 5386[0:Res:28.2,451.1] class_Orderings_Oorder(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w).
% 299.97/300.59 5404[0:SpR:5302.1,361.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u),x,z),w),z))*.
% 299.97/300.59 5457[0:Res:29.2,449.1] class_Orderings_Opreorder(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),w).
% 299.97/300.59 5456[0:Res:28.2,449.1] class_Orderings_Oorder(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),w).
% 299.97/300.59 5554[0:Res:29.2,166.1] class_Orderings_Opreorder(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),v).
% 299.97/300.59 5553[0:Res:28.2,166.1] class_Orderings_Oorder(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),v).
% 299.97/300.59 5574[0:SSi:5531.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w))**.
% 299.97/300.59 5701[0:Res:29.2,164.1] class_Orderings_Opreorder(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v).
% 299.97/300.59 5700[0:Res:28.2,164.1] class_Orderings_Oorder(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v).
% 299.97/300.59 5775[0:Obv:5756.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v)).
% 299.97/300.59 5778[0:SSi:5768.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(w,tc_bool)))* hBOOL(hAPP(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(w,tc_bool)),v),x))* -> hBOOL(hAPP(u,x))*.
% 299.97/300.59 5779[0:SSi:5761.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,tc_fun(u,tc_bool)))* -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),v),c_COMBK(c_False,tc_bool,u)).
% 299.97/300.59 5851[0:Obv:5831.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)).
% 299.97/300.59 5854[0:SSi:5842.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(w,tc_bool)))* hBOOL(hAPP(u,x))* -> hBOOL(hAPP(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(w,tc_bool)),v),x))*.
% 299.97/300.59 5994[0:SpL:3333.0,325.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),hAPP(c_fequal(u),w))),x))* -> hBOOL(c_in(w,x,u)).
% 299.97/300.59 6033[0:SSi:6022.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_Set_Oinsert(u,v),w),x,tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))** hBOOL(c_in(u,x,v)).
% 299.97/300.59 6034[0:SSi:6017.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,tc_fun(v,tc_bool)))* -> hBOOL(c_in(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(v,tc_bool)),x),v)).
% 299.97/300.59 6157[0:SpR:613.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(c_Set_Oinsert(y,v),hAPP(c_Set_Oinsert(u,v),z))))*.
% 299.97/300.59 6134[0:SpR:613.0,1506.1] || hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),x),w)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Set_Oinsert(y,w),x)),u))*.
% 299.97/300.59 6280[0:SpR:5360.2,1430.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),x))*.
% 299.97/300.59 6278[0:SpR:5360.2,35.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v,v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)))**.
% 299.97/300.59 6425[0:SpR:5538.2,1430.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),x))*.
% 299.97/300.59 6423[0:SpR:5538.2,35.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v,v,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)))**.
% 299.97/300.59 6615[0:SpR:5792.2,1430.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),x))*.
% 299.97/300.59 6613[0:SpR:5792.2,35.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v,v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)))**.
% 299.97/300.59 6747[0:SpR:5860.2,1430.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),x))*.
% 299.97/300.59 6745[0:SpR:5860.2,35.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v,v,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)))**.
% 299.97/300.59 6808[0:SpR:5160.1,35.0] class_Orderings_Oorder(u) || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),v,x,y),c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)))**.
% 299.97/300.59 6850[0:SpR:5292.1,35.0] class_Orderings_Oorder(u) || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),v,x,y),c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)))**.
% 299.97/300.59 7036[0:SpR:5371.2,1430.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.59 7034[0:SpR:5371.2,35.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Orderings_Otop__class_Otop(u),c_Orderings_Otop__class_Otop(u),w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))**.
% 299.97/300.59 7190[0:SpL:5441.2,1141.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u))),c_False))*.
% 299.97/300.59 7218[0:SpR:5527.2,1430.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.59 7216[0:SpR:5527.2,35.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Orderings_Obot__class_Obot(u),c_Orderings_Obot__class_Obot(u),w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))**.
% 299.97/300.59 7349[0:SpL:5674.2,1141.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u))),c_False))*.
% 299.97/300.59 7419[0:SpL:5789.2,1141.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u))),c_False))*.
% 299.97/300.59 7597[0:SpL:5861.2,1141.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u))),c_False))*.
% 299.97/300.59 8176[0:SpL:5398.0,5903.0] || equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),u) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),u,v)*.
% 299.97/300.59 8779[0:Res:518.1,738.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* equal(c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),c_COMBK(c_False,tc_bool,u)).
% 299.97/300.59 8934[0:Res:518.1,737.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),c_COMBK(c_False,tc_bool,u)).
% 299.97/300.59 9546[0:SpR:770.0,618.1] || hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_fequal(v),w)),x))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(w,v),u),x)).
% 299.97/300.59 9530[0:SpR:770.0,409.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),hAPP(c_fequal(u),w))),hAPP(c_Set_Oinsert(w,u),v)))*.
% 299.97/300.59 10827[0:AED:250.0,10799.0] || -> hBOOL(c_in(hAPP(c_fequal(u),v),hAPP(c_Set_Oimage(c_Set_Oimage(c_COMBK(v,u,w),w,u),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.59 10963[0:Res:4252.0,768.0] || -> equal(hAPP(c_Set_Oimage(c_COMBK(u,v,w),w,v),hAPP(c_lessequals(tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,x))),hAPP(c_fequal(v),u))**.
% 299.97/300.59 10941[0:Res:248.0,768.0] || -> equal(hAPP(c_Set_Oimage(c_COMBK(u,v,w),w,v),hAPP(c_Set_Oimage(x,y,w),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)))),hAPP(c_fequal(v),u))**.
% 299.97/300.59 11283[0:Obv:11282.0] class_Orderings_Oorder(u) || equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u))* -> equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u)).
% 299.97/300.59 11345[0:Obv:11342.0] class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),c_COMBK(c_False,tc_bool,u)) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),c_COMBK(c_False,tc_bool,u))*.
% 299.97/300.59 11736[0:SpR:8814.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_fun(tc_bool,tc_bool)),w,y),v),x))*.
% 299.97/300.59 11879[0:SpR:8987.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_fun(tc_bool,tc_bool)),w,y),v),x))*.
% 299.97/300.59 12098[0:SpR:9635.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_fun(tc_bool,tc_bool)),w,y),v),x))*.
% 299.97/300.59 12139[0:SpR:9868.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_fun(tc_bool,tc_bool)),w,y),v),x))*.
% 299.97/300.59 12257[0:SpL:276.1,369.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),w)),c_Orderings_Obot__class_Obot(u))** -> equal(v,c_Orderings_Obot__class_Obot(u)).
% 299.97/300.59 12288[0:SSi:12262.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Fun_Oinj__on(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,tc_fun(v,tc_bool)),x)),v,y)* -> c_Fun_Oinj__on(u,w,v,y).
% 299.97/300.59 12290[0:SSi:12222.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(w,tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(w,tc_bool)),x)),w))*.
% 299.97/300.59 12291[0:SSi:12204.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool)),v)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),v))**.
% 299.97/300.59 12292[0:SSi:12260.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),hAPP(c_Set_Oinsert(w,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x)),v)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,w,v).
% 299.97/300.59 12298[0:SSi:12234.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),hAPP(c_Set_Oinsert(w,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x))),w,v)*.
% 299.97/300.59 12347[0:SpR:12280.1,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w,y),v),x))*.
% 299.97/300.59 12477[0:Res:8798.0,768.0] || -> equal(hAPP(c_Set_Oimage(c_COMBK(u,v,w),w,v),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool))),hAPP(c_fequal(v),u))**.
% 299.97/300.59 12534[0:SpL:125.1,21.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),w)),c_Orderings_Otop__class_Otop(u))** -> equal(v,c_Orderings_Otop__class_Otop(u)).
% 299.97/300.59 12568[0:SSi:12538.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(u,tc_bool)),w)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))** -> hBOOL(hAPP(v,x))*.
% 299.97/300.59 12570[0:SSi:12516.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),tc_fun(u,tc_bool)),v)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),v))**.
% 299.97/300.59 12575[0:SSi:12518.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),w),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),hAPP(c_Set_Oinsert(w,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x)),v)*.
% 299.97/300.59 12577[0:SSi:12508.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x)),w)*.
% 299.97/300.59 13104[0:SpR:12701.1,361.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x,y),w),y))*.
% 299.97/300.59 13185[0:SpR:12821.1,361.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x,y),w),y))*.
% 299.97/300.59 13348[0:Obv:13333.0] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_COMBK(c_False,tc_bool,u)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* equal(w,v).
% 299.97/300.59 13361[0:Res:13340.0,1141.0] || -> equal(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(u,v),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False))),c_False) hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)),c_False))*.
% 299.97/300.59 13471[0:Res:454.1,486.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w)** hBOOL(c_in(x,v,u))* -> hBOOL(c_in(x,w,u))*.
% 299.97/300.59 13487[0:SSi:13473.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),v)** hBOOL(c_in(x,v,u))* -> hBOOL(c_in(x,w,u))*.
% 299.97/300.59 13565[0:SpR:13495.1,361.1] || hBOOL(hAPP(u,c_False)) hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.59 13816[0:Res:454.1,53.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w)** c_Fun_Oinj__on(x,w,u,y)* -> c_Fun_Oinj__on(x,v,u,y)*.
% 299.97/300.59 13832[0:SSi:13818.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),v)** c_Fun_Oinj__on(x,w,u,y)* -> c_Fun_Oinj__on(x,v,u,y)*.
% 299.97/300.59 13844[0:SpR:13738.1,361.1] || hBOOL(c_in(u,v,w))* -> equal(x,c_False) hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(x,c_False,tc_bool),w,y),v),y))*.
% 299.97/300.59 13867[0:SpR:13730.1,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> equal(u,c_False) hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_False))*.
% 299.97/300.59 13919[0:Res:4251.1,106.0] class_Orderings_Obot(u) || c_Finite__Set_Ofinite(hAPP(v,c_False),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.59 13915[0:Res:6094.1,106.0] class_Complete__Lattice_Ocomplete__lattice(u) || c_Finite__Set_Ofinite(hAPP(v,c_False),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.59 13913[0:Res:4138.1,106.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) c_Finite__Set_Ofinite(hAPP(w,x),y)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,w,v,tc_fun(y,tc_bool)),y)*.
% 299.97/300.59 13890[0:Res:3579.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,v),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oinsert(x,y),hAPP(c_fequal(y),v)),u,y,tc_fun(w,tc_bool)),w)*.
% 299.97/300.59 14146[0:SpR:13526.1,4377.1] || hBOOL(u) hBOOL(c_in(c_COMBK(u,v,w),x,y))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),y,z),x),c_False))*.
% 299.97/300.59 14423[0:SpR:12562.1,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w,y),v),x))*.
% 299.97/300.59 15129[0:SpL:14872.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_bool),u)),c_False))*.
% 299.97/300.59 14997[0:SpL:14632.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),v)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_bool),u)),v))*.
% 299.97/300.59 14996[0:SpL:14531.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),v)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(c_False,tc_bool),u)),v))*.
% 299.97/300.59 15247[0:Res:1273.2,446.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> equal(v,c_Orderings_Otop__class_Otop(u)).
% 299.97/300.59 15246[0:Res:1293.2,446.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> equal(v,c_Orderings_Otop__class_Otop(u)).
% 299.97/300.59 15245[0:Res:1313.2,446.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> equal(v,c_Orderings_Otop__class_Otop(u)).
% 299.97/300.59 15235[0:Res:1276.2,446.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> equal(c_Orderings_Obot__class_Obot(u),v).
% 299.97/300.60 15234[0:Res:1294.2,446.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> equal(c_Orderings_Obot__class_Obot(u),v).
% 299.97/300.60 15233[0:Res:1310.2,446.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> equal(c_Orderings_Obot__class_Obot(u),v).
% 299.97/300.60 15284[0:Obv:15273.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* hBOOL(hAPP(hAPP(c_lessequals(u),w),v))* -> equal(v,w).
% 299.97/300.60 15289[0:SSi:15278.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u)))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),v).
% 299.97/300.60 15290[0:SSi:15277.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u)))* -> equal(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),v).
% 299.97/300.60 15397[0:Res:8971.0,768.0] || -> equal(hAPP(c_Set_Oimage(c_COMBK(u,v,w),w,v),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool))),hAPP(c_fequal(v),u))**.
% 299.97/300.60 15535[0:MRR:15534.3,1073.1] class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || hBOOL(c_in(v,c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v)).
% 299.97/300.60 15602[0:MRR:15601.3,1073.1] class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || hBOOL(c_in(v,c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)).
% 299.97/300.60 15662[0:SSi:15633.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),v)),c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)))** -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),c_False).
% 299.97/300.60 15692[0:Res:26.1,107.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oimage(w,x,u),y)))* c_Finite__Set_Ofinite(y,x) -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.60 16054[0:SpR:14872.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_False,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_HOL_Ominus__class_Ominus(x,tc_bool),w,u)),x))*.
% 299.97/300.60 15912[0:SpR:14632.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_HOL_Ominus__class_Ominus(v,tc_bool),x,u)),c_False))*.
% 299.97/300.60 15911[0:SpR:14531.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_HOL_Ominus__class_Ominus(c_False,tc_bool),x,u)),c_False))*.
% 299.97/300.60 16082[0:SSi:16060.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w))* c_Finite__Set_Ofinite(u,x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Set_Oimage(y,x,z),w,tc_fun(z,tc_bool)),z)*.
% 299.97/300.60 16134[0:SSi:16116.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))**.
% 299.97/300.60 16318[0:SpR:14872.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_False,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),x),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(x,tc_bool),w,u)))*.
% 299.97/300.60 16175[0:SpR:14632.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Ominus__class_Ominus(v,tc_bool),x,u)))*.
% 299.97/300.60 16174[0:SpR:14531.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Ominus__class_Ominus(c_False,tc_bool),x,u)))*.
% 299.97/300.60 16460[0:SSi:16421.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_bool,tc_bool)),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),v)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_bool,tc_bool)),v))**.
% 299.97/300.60 16494[0:SpR:759.0,237.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)))*.
% 299.97/300.60 16479[0:SpR:759.0,428.1] || hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),x)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w),x))*.
% 299.97/300.60 16898[0:SSi:16854.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_bool,tc_bool)),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),v)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_bool,tc_bool)),v))**.
% 299.97/300.60 17166[0:Res:9619.0,768.0] || -> equal(hAPP(c_Set_Oimage(c_COMBK(u,v,w),w,v),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool))),hAPP(c_fequal(v),u))**.
% 299.97/300.60 17213[0:Res:9852.0,768.0] || -> equal(hAPP(c_Set_Oimage(c_COMBK(u,v,w),w,v),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool))),hAPP(c_fequal(v),u))**.
% 299.97/300.60 17361[0:SpR:19.1,172.2] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v))*.
% 299.97/300.60 17359[0:SpR:12562.1,172.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v))*.
% 299.97/300.60 17422[0:Obv:17360.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v))*.
% 299.97/300.60 17425[0:SSi:17375.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),v))*.
% 299.97/300.60 17774[0:SSi:17731.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_bool,tc_bool)),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),v)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_bool,tc_bool)),v))**.
% 299.97/300.60 17786[0:SpR:186.1,2.2] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),w))*.
% 299.97/300.60 17783[0:SpR:19.1,2.2] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v))*.
% 299.97/300.60 17781[0:SpR:12562.1,2.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v))*.
% 299.97/300.60 17842[0:Obv:17785.1] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),w))*.
% 299.97/300.60 17843[0:Obv:17784.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),w))*.
% 299.97/300.60 17844[0:Obv:17782.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v))*.
% 299.97/300.60 17847[0:SSi:17803.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),w))*.
% 299.97/300.60 18128[0:SSi:18083.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_bool,tc_bool)),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),v)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_bool,tc_bool)),v))**.
% 299.97/300.60 18407[0:SpR:366.1,479.2] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))*.
% 299.97/300.60 18481[0:Obv:18406.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))*.
% 299.97/300.60 18482[0:Obv:18405.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))*.
% 299.97/300.60 18486[0:SSi:18442.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),w))*.
% 299.97/300.60 18487[0:SSi:18441.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),w))*.
% 299.97/300.60 18488[0:SSi:18440.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),w))*.
% 299.97/300.60 18489[0:SSi:18439.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),w))*.
% 299.97/300.60 18490[0:SSi:18420.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_COMBK(c_False,tc_bool,u)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))*.
% 299.97/300.60 18814[0:SpL:12282.1,4686.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x)),c_False))*.
% 299.97/300.60 18849[0:SpR:278.1,185.2] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.60 18843[0:SpR:367.1,185.2] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))*.
% 299.97/300.60 18841[0:SpR:12280.1,185.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))*.
% 299.97/300.60 18906[0:Obv:18848.1] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.60 18907[0:Obv:18847.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.60 18908[0:Obv:18842.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))*.
% 299.97/300.60 18911[0:SSi:18871.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))*.
% 299.97/300.60 18971[0:SpL:12564.1,4686.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x)),c_False))*.
% 299.97/300.60 19188[0:SpL:277.1,477.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v))*.
% 299.97/300.60 19186[0:SpL:12282.1,477.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v))*.
% 299.97/300.60 19272[0:Obv:19187.1] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v))*.
% 299.97/300.60 19736[0:SpL:186.1,170.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))*.
% 299.97/300.60 19810[0:Obv:19735.1] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))*.
% 299.97/300.60 19811[0:Obv:19734.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))*.
% 299.97/300.60 19816[0:SSi:19777.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),tc_fun(u,tc_bool)),x)),w))*.
% 299.97/300.60 19866[0:SpR:613.0,12684.0] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),v))),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)))**.
% 299.97/300.60 19893[0:SpR:19877.0,361.1] || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v)) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u),w))*.
% 299.97/300.60 20039[0:SSi:19999.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),tc_fun(u,tc_bool)),x)),v))*.
% 299.97/300.60 20220[0:Res:29.2,20047.0] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(tc_bool)))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.60 20219[0:Res:28.2,20047.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(tc_bool)))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.60 20141[0:SpL:167.1,20047.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.60 20140[0:SpL:168.1,20047.0] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.60 20137[0:SpL:342.1,20047.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.60 20136[0:SpL:343.1,20047.0] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.60 20105[0:SpL:65.1,20047.0] || hBOOL(hAPP(u,c_Orderings_Otop__class_Otop(tc_bool))) -> equal(c_Orderings_Otop__class_Otop(tc_bool),v) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Fun_Ofun__upd(u,v,w,x,y)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 20096[0:SpL:1597.1,20047.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_fequal(u),c_Orderings_Otop__class_Otop(tc_bool)),v))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 20095[0:SpL:2578.1,20047.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_fequal(u),v),c_Orderings_Otop__class_Otop(tc_bool)))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 20091[0:SpL:2578.1,20047.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_Orderings_Otop__class_Otop(tc_bool)))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(u),v)),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.60 20350[0:SpR:20155.0,361.1] || hBOOL(c_in(hAPP(c_fequal(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.60 20367[0:SpR:20174.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),u),v),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y),w),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 20543[0:SpR:770.0,20526.0] || -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(u,v),w),tc_fun(v,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),hAPP(c_fequal(v),u))),v)*.
% 299.97/300.60 21036[0:MRR:21026.1,927.0] || equal(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_False))*.
% 299.97/300.60 21461[0:Res:253.1,430.0] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x))* -> hBOOL(c_in(x,v,u)) hBOOL(c_in(x,w,u)).
% 299.97/300.60 22005[0:Res:6050.0,352.0] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Set_Oinsert(z,v),y,tc_fun(x1,tc_bool)),u))*.
% 299.97/300.60 21981[0:Res:13341.0,352.0] || hBOOL(c_in(u,v,w))* -> equal(c_Orderings_Otop__class_Otop(tc_bool),u) hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Oord__class_Oless(tc_bool),w,tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 21978[0:Res:12803.0,352.0] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Set_Oinsert(w,x),v,tc_fun(y,tc_bool)),c_False))*.
% 299.97/300.60 21957[0:Res:9851.0,352.0] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.60 21956[0:Res:8970.0,352.0] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.60 21955[0:Res:9618.0,352.0] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.60 21954[0:Res:8797.0,352.0] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.60 21908[0:Res:464.0,352.0] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_fun(x,tc_bool)),w,tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))))*.
% 299.97/300.60 21896[0:Res:676.0,352.0] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_fun(u,tc_bool)),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.60 21787[0:SpL:256.0,352.0] || hBOOL(u) hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),w,tc_fun(y,tc_bool)),u))*.
% 299.97/300.60 22345[0:SpR:405.0,8390.0] || -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oimage(w,x,u),hAPP(c_Set_Oinsert(y,x),z))),hAPP(w,y)))*.
% 299.97/300.60 22302[0:SpR:405.0,30.1] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),w),v)* -> c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(hAPP(x,u),y),hAPP(c_Set_Oimage(x,v,y),w)),y)*.
% 299.97/300.60 23089[0:SpL:13510.0,461.0] || equal(hAPP(c_lessequals(tc_bool),c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(u,c_lessequals(tc_bool),v,w)* -> equal(hAPP(hAPP(u,c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_False),c_False)**.
% 299.97/300.60 23088[0:SpL:12718.0,461.0] || equal(hAPP(c_fequal(tc_bool),c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(u,c_fequal(tc_bool),v,w)* -> equal(hAPP(hAPP(u,c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_False),c_False)**.
% 299.97/300.60 23055[0:SpL:15481.0,461.0] || equal(hAPP(c_fequal(tc_bool),c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(u,c_fequal(tc_bool),v,w)* -> equal(hAPP(hAPP(u,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_False),c_False)**.
% 299.97/300.60 22986[0:SpL:657.0,461.0] || equal(u,hAPP(v,w))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,c_COMBK(u,x1,x2)),w),w)**.
% 299.97/300.60 22970[0:SpL:9728.0,461.0] || equal(hAPP(u,v),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,u,x,y)* -> equal(hAPP(hAPP(w,c_SetInterval_Oord__class_OgreaterThanAtMost(z,z,tc_bool)),v),v)**.
% 299.97/300.60 22969[0:SpL:9002.0,461.0] || equal(hAPP(u,v),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,u,x,y)* -> equal(hAPP(hAPP(w,c_SetInterval_Oord__class_OgreaterThanAtMost(z,c_False,tc_bool)),v),v)**.
% 299.97/300.60 22968[0:SpL:9428.0,461.0] || equal(hAPP(u,v),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,u,x,y)* -> equal(hAPP(hAPP(w,c_SetInterval_Oord__class_OatLeastLessThan(z,z,tc_bool)),v),v)**.
% 299.97/300.60 22967[0:SpL:8828.0,461.0] || equal(hAPP(u,v),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,u,x,y)* -> equal(hAPP(hAPP(w,c_SetInterval_Oord__class_OatLeastLessThan(z,c_False,tc_bool)),v),v)**.
% 299.97/300.60 22807[0:SpL:1916.0,461.0] || equal(hAPP(u,v),v) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),x,y)* -> equal(hAPP(hAPP(w,u),v),v)**.
% 299.97/300.60 22806[0:SpL:1118.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),x,y)* -> equal(hAPP(hAPP(v,u),c_False),c_False)**.
% 299.97/300.60 22804[0:SpL:1088.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x)* -> equal(hAPP(hAPP(v,u),y),y)**.
% 299.97/300.60 22778[0:SpL:988.0,461.0] || equal(hAPP(u,v),v)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),x,y)* -> equal(hAPP(hAPP(w,u),c_False),c_False)**.
% 299.97/300.60 22752[0:SpL:657.0,461.0] || equal(hAPP(u,v),v)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_COMBK(v,x,y),z,x1)* -> equal(hAPP(hAPP(w,u),x2),x2)**.
% 299.97/300.60 22745[0:SpL:956.0,461.0] || equal(hAPP(u,v),v) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),x,y)* -> equal(hAPP(hAPP(w,u),v),v)**.
% 299.97/300.60 22736[0:SpL:9728.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool),x,y)* -> equal(hAPP(hAPP(v,u),z),z)**.
% 299.97/300.60 22735[0:SpL:9002.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool),x,y)* -> equal(hAPP(hAPP(v,u),z),z)**.
% 299.97/300.60 22734[0:SpL:9428.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool),x,y)* -> equal(hAPP(hAPP(v,u),z),z)**.
% 299.97/300.60 22733[0:SpL:8828.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool),x,y)* -> equal(hAPP(hAPP(v,u),z),z)**.
% 299.97/300.60 23132[0:Obv:23037.1] class_Lattices_Olower__semilattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x,y)* -> equal(hAPP(hAPP(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w)),z),z)**.
% 299.97/300.60 23133[0:Obv:23036.1] class_Lattices_Olattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x,y)* -> equal(hAPP(hAPP(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w)),z),z)**.
% 299.97/300.60 23134[0:Obv:23034.1] class_Lattices_Oupper__semilattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x,y)* -> equal(hAPP(hAPP(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w)),z),z)**.
% 299.97/300.60 23135[0:Obv:23033.1] class_Lattices_Olattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x,y)* -> equal(hAPP(hAPP(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w)),z),z)**.
% 299.97/300.60 23305[0:Rew:424.0,23251.0] || -> hBOOL(c_in(hAPP(u,hAPP(v,w)),hAPP(c_Set_Oimage(u,x,y),hAPP(c_Set_Oimage(v,z,x),c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool)))),y))*.
% 299.97/300.60 23384[0:SpR:46.0,30.1] || c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(u,v,w),x),w)* -> c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(c_COMBB(y,u,w,z,v),v,z),x),z)*.
% 299.97/300.60 24206[0:Res:465.1,364.1] class_Orderings_Otop(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(w,x)),hAPP(c_Orderings_Otop__class_Otop(tc_fun(u,v)),x)))*.
% 299.97/300.60 24202[0:Res:5848.1,364.1] class_Complete__Lattice_Ocomplete__lattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(w,x)),hAPP(c_Orderings_Otop__class_Otop(tc_fun(u,v)),x)))*.
% 299.97/300.60 24196[0:Res:368.1,364.1] class_Orderings_Obot(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(c_Orderings_Obot__class_Obot(tc_fun(u,v)),w)),hAPP(x,w)))*.
% 299.97/300.60 24192[0:Res:5772.1,364.1] class_Complete__Lattice_Ocomplete__lattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(c_Orderings_Obot__class_Obot(tc_fun(u,v)),w)),hAPP(x,w)))*.
% 299.97/300.60 24262[0:SSi:24236.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w)** -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(v,x)),hAPP(w,x)))*.
% 299.97/300.60 24687[0:MRR:24651.3,1073.1] class_Orderings_Oorder(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v)).
% 299.97/300.60 24850[0:SpR:803.2,6050.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(x,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),w))*.
% 299.97/300.60 24928[0:Rew:699.0,24890.2] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),u,tc_bool),hAPP(c_fequal(tc_bool),u)).
% 299.97/300.60 25035[0:SpR:802.2,6050.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(x,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),v))*.
% 299.97/300.60 25110[0:Rew:24928.2,25109.2] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))* -> equal(hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(c_fequal(tc_bool),u)).
% 299.97/300.60 25118[0:Rew:24928.2,25117.2] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))* -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.60 25255[0:Res:10592.1,1473.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x),v)* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(y,tc_Hoare__Mirabelle_Otriple(v)),u),w,v)*.
% 299.97/300.60 25254[0:Res:10592.1,1485.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x),v)* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(y,tc_Hoare__Mirabelle_Otriple(v)),u),x,v)*.
% 299.97/300.60 25950[0:Res:465.1,17.1] class_Orderings_Otop(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.60 25946[0:Res:5848.1,17.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.60 25938[0:Res:368.1,17.1] class_Orderings_Obot(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),v))*.
% 299.97/300.60 25934[0:Res:5772.1,17.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),v))*.
% 299.97/300.60 26225[0:Res:26168.0,352.0] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w,tc_fun(x,tc_bool)),hAPP(hAPP(c_fequal(t_a),v_x),v_x)))*.
% 299.97/300.60 26345[0:SpL:411.0,182.0] || c_Fun_Oinj__on(u,hAPP(c_Set_Oinsert(v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),y)),w,z)* -> c_Fun_Oinj__on(u,y,w,z).
% 299.97/300.60 26332[0:SpL:411.0,24.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x)),v)* -> c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),w),v).
% 299.97/300.60 26284[0:SpR:411.0,474.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oinsert(x,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),y),v)),w))*.
% 299.97/300.60 26262[0:SpR:411.0,1383.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x)),hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),w),v)*.
% 299.97/300.60 26438[0:Res:26226.0,352.0] || hBOOL(c_in(hAPP(hAPP(c_fequal(t_a),v_x),v_x),u,v)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v,tc_fun(w,tc_bool)),x))*.
% 299.97/300.60 26742[0:SpL:410.0,183.0] || c_Fun_Oinj__on(u,hAPP(c_Set_Oinsert(v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),y)),w,z)* -> c_Fun_Oinj__on(u,x,w,z).
% 299.97/300.60 26727[0:SpL:410.0,23.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x)),v)* -> c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),x),v).
% 299.97/300.60 26632[0:SpR:410.0,8390.0] || -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),hAPP(c_Set_Oinsert(x,u),y))),x))*.
% 299.97/300.60 26576[0:SpR:410.0,475.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oinsert(x,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),y)),w))*.
% 299.97/300.60 26567[0:SpR:410.0,1384.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x)),hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),x),v)*.
% 299.97/300.60 26881[0:SpR:410.0,26483.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Set_Oinsert(v_x,t_a),v),v_x),tc_bool),w))))*.
% 299.97/300.60 27248[0:SSi:27247.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)))*.
% 299.97/300.60 27250[0:SSi:27249.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)))*.
% 299.97/300.60 27252[0:SSi:27251.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)))*.
% 299.97/300.60 27254[0:SSi:27253.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)))*.
% 299.97/300.60 27346[0:Res:13702.1,444.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool)))* -> equal(v,c_False) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),u).
% 299.97/300.60 27943[0:Res:4251.1,331.1] class_Orderings_Obot(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(c_in(c_False,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(u),w,tc_fun(x,tc_bool)),x))*.
% 299.97/300.60 27939[0:Res:6094.1,331.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(c_in(c_False,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(u),w,tc_fun(x,tc_bool)),x))*.
% 299.97/300.60 27915[0:Res:3579.0,331.1] || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> hBOOL(c_in(v,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oinsert(y,u),x,tc_fun(u,tc_bool)),u))*.
% 299.97/300.60 28187[0:MRR:28185.2,9750.0] || equal(hAPP(c_Set_Oinsert(u,tc_bool),v),hAPP(c_fequal(tc_bool),u))** -> hBOOL(c_in(u,v,tc_bool)) equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool))*.
% 299.97/300.60 28188[0:MRR:28184.2,9018.0] || equal(hAPP(c_Set_Oinsert(u,tc_bool),v),hAPP(c_fequal(tc_bool),u))** -> hBOOL(c_in(u,v,tc_bool)) equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool))*.
% 299.97/300.60 28189[0:MRR:28183.2,9476.0] || equal(hAPP(c_Set_Oinsert(u,tc_bool),v),hAPP(c_fequal(tc_bool),u))** -> hBOOL(c_in(u,v,tc_bool)) equal(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool))*.
% 299.97/300.60 28190[0:MRR:28182.2,8844.0] || equal(hAPP(c_Set_Oinsert(u,tc_bool),v),hAPP(c_fequal(tc_bool),u))** -> hBOOL(c_in(u,v,tc_bool)) equal(v,c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool))*.
% 299.97/300.60 28191[0:MRR:28168.2,666.0] || equal(hAPP(c_Set_Oinsert(u,v),w),hAPP(c_fequal(v),u))** -> hBOOL(c_in(u,w,v)) equal(w,c_COMBK(c_False,tc_bool,v)).
% 299.97/300.60 28288[0:SpR:28266.1,4377.1] || equal(c_False,u) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x,y),w),u))*.
% 299.97/300.60 28395[0:SpR:326.1,6010.0] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(hAPP(x,u),hAPP(c_Set_Oinsert(y,z),hAPP(c_Set_Oimage(x,w,z),v)),z))*.
% 299.97/300.60 28374[0:SpR:326.1,2652.0] || hBOOL(c_in(u,v,w)) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oimage(x,w,tc_Hoare__Mirabelle_Otriple(y)),v),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(y)),hAPP(x,u)),y)*.
% 299.97/300.60 28735[0:SpR:28267.1,4377.1] || equal(c_False,u) hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),w,y),v),u))*.
% 299.97/300.60 28811[0:Obv:28795.1] || equal(hAPP(u,v),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,u,x,y)* -> equal(hAPP(hAPP(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),z)),v),v)**.
% 299.97/300.60 28823[0:SpR:28268.1,4377.1] || equal(c_False,u) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),w,y),v),x))*.
% 299.97/300.60 28952[0:SpR:28269.1,4377.1] || equal(c_False,u) hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,y),w),v))*.
% 299.97/300.60 29522[0:SpR:29202.1,4377.1] || equal(c_False,u) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(y,u,tc_bool),x,z),w),c_False))*.
% 299.97/300.60 30426[0:SpR:29751.1,4377.1] || equal(c_False,u) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(y,u,tc_bool),x,z),w),c_False))*.
% 299.97/300.60 34464[0:Res:465.1,58.1] class_Orderings_Otop(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v))*.
% 299.97/300.60 34460[0:Res:5848.1,58.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v))*.
% 299.97/300.60 34452[0:Res:368.1,58.1] class_Orderings_Obot(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),w))*.
% 299.97/300.60 34448[0:Res:5772.1,58.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),w))*.
% 299.97/300.60 34511[0:SSi:34479.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),u),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)),v))*.
% 299.97/300.60 34512[0:SSi:34478.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),u),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)),v))*.
% 299.97/300.60 34513[0:SSi:34477.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),u),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)),v))*.
% 299.97/300.60 34514[0:SSi:34476.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),u),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)),v))*.
% 299.97/300.60 34567[0:SSi:34539.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),w))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),w),v))*.
% 299.97/300.60 34830[0:Res:465.1,485.1] class_Orderings_Otop(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v))*.
% 299.97/300.60 34826[0:Res:5848.1,485.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v))*.
% 299.97/300.60 35353[0:Res:465.1,52.1] class_Orderings_Otop(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.60 35349[0:Res:5848.1,52.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.60 35341[0:Res:368.1,52.1] class_Orderings_Obot(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))*.
% 299.97/300.60 35337[0:Res:5772.1,52.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))*.
% 299.97/300.60 35885[0:Res:368.1,484.1] class_Orderings_Obot(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))*.
% 299.97/300.60 35881[0:Res:5772.1,484.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))*.
% 299.97/300.60 35945[0:SSi:35920.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),w))*.
% 299.97/300.60 35986[0:SSi:35968.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w))* -> equal(v,u)* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),w))*.
% 299.97/300.60 35987[0:SSi:35966.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_False,u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u))* -> equal(w,u)* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),w))*.
% 299.97/300.60 36523[0:SSi:36503.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),c_False)** -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),w).
% 299.97/300.60 36528[0:SSi:36402.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),c_False) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),w)**.
% 299.97/300.60 37425[0:SpR:149.0,26165.1] || hBOOL(c_in(v_x,c_COMBB(u,v,w,x,y),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),z),hAPP(u,hAPP(v,v_x))))*.
% 299.97/300.60 37424[0:SpR:424.0,26165.1] || hBOOL(c_in(v_x,c_Fun_Ocomp(u,v,w,x,y),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),z),hAPP(u,hAPP(v,v_x))))*.
% 299.97/300.60 38113[0:SSi:38077.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),c_False)** -> equal(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)).
% 299.97/300.60 38120[0:SSi:37906.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),c_False) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v)),w)**.
% 299.97/300.60 42633[0:SpR:149.0,26440.1] || hBOOL(c_in(v_x,c_COMBB(u,v,w,x,y),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(u,hAPP(v,v_x))),z))*.
% 299.97/300.60 42632[0:SpR:424.0,26440.1] || hBOOL(c_in(v_x,c_Fun_Ocomp(u,v,w,x,y),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(u,hAPP(v,v_x))),z))*.
% 299.97/300.60 42971[0:SpL:794.0,286.1] || hBOOL(c_in(u,v,w)) hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(w,tc_bool)),hAPP(c_Set_Oinsert(y,w),v)),w))* -> .
% 299.97/300.60 43775[0:SpR:13719.1,35.0] || -> equal(u,c_False) equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w,x),c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.60 44155[0:Res:44148.1,331.1] || equal(c_False,u) hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_False,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_bool),w,tc_fun(x,tc_bool)),x))*.
% 299.97/300.60 44150[0:Res:44148.1,106.0] || equal(c_False,u) c_Finite__Set_Ofinite(hAPP(v,c_False),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_lessequals(tc_bool),u),v,x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.60 44572[0:SpL:456.0,1473.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(v,w),x),y,w,tc_fun(tc_Hoare__Mirabelle_Otriple(z),tc_bool)),z)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(y,v),z).
% 299.97/300.60 44212[0:SpR:456.0,1476.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(w,x),y),z,x,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool))),hAPP(z,w),v)*.
% 299.97/300.60 44200[0:SpR:456.0,3804.1] || hBOOL(c_in(u,hAPP(v,w),x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(w,y),z),v,y,tc_fun(x,tc_bool)),u))*.
% 299.97/300.60 44188[0:SpR:456.0,1384.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(u,v),w),x,v,tc_fun(tc_Hoare__Mirabelle_Otriple(y),tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,x,v,tc_fun(tc_Hoare__Mirabelle_Otriple(y),tc_bool)),y)*.
% 299.97/300.60 44647[0:SpR:44578.0,265.1] || hBOOL(c_in(u,hAPP(c_fequal(v),w),v))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(y,u)),hAPP(y,w)))*.
% 299.97/300.60 46010[0:Res:513.1,107.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* c_Finite__Set_Ofinite(w,u) -> c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(x,u,y),v),y)*.
% 299.97/300.60 46080[0:SpR:131.1,44775.1] || equal(u,c_False) -> equal(v,c_False) equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Fun_Ofun__upd(c_Fun_Ofun__upd(w,c_False,u,x,y),v,z,x,y),tc_bool),c_False)**.
% 299.97/300.60 47892[2:MRR:40137.1,47875.1] || equal(v_sko__Hoare__Mirabelle__Xescape__1(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w),c_False) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v,t_a)),t_a)*.
% 299.97/300.60 47893[2:MRR:40138.1,47875.1] || equal(v_sko__Hoare__Mirabelle__Xescape__2(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w),c_False) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v,t_a)),t_a)*.
% 299.97/300.60 47894[2:MRR:40373.1,47875.1] || equal(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w),c_False) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v,t_a)),t_a)*.
% 299.97/300.60 47895[2:MRR:40374.1,47875.1] || equal(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w),c_False) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v,t_a)),t_a)*.
% 299.97/300.60 47896[2:MRR:40574.1,47875.1] || equal(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w),c_False) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v,t_a)),t_a)*.
% 299.97/300.60 47897[2:MRR:40575.1,47875.1] || equal(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w),c_False) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v,t_a)),t_a)*.
% 299.97/300.60 49234[2:Res:740.2,47875.1] class_Orderings_Olinorder(u) || c_Finite__Set_Ofinite(v,u) equal(c_in(c_Finite__Set_Olinorder__class_OMin(v,u),v,u),c_False)** -> equal(v,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.60 49233[2:Res:741.2,47875.1] class_Orderings_Olinorder(u) || c_Finite__Set_Ofinite(v,u) equal(c_in(c_Finite__Set_Olinorder__class_OMax(v,u),v,u),c_False)** -> equal(v,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.60 49186[2:Res:8.1,47875.1] class_Ring__and__Field_Oordered__idom(u) || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w),c_False) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v))* equal(v,w).
% 299.97/300.60 49185[2:Res:4.1,47875.1] class_Orderings_Olinorder(u) || equal(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w),c_False) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v))* equal(w,v).
% 299.97/300.60 49167[2:Res:454.1,47875.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w) equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w),c_False)** -> .
% 299.97/300.60 49960[0:Res:46240.1,352.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(c_False,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Oord__class_Oless(tc_bool),w,tc_fun(x,tc_bool)),u))*.
% 299.97/300.60 50553[2:SpR:50431.1,361.1] || hBOOL(u) hBOOL(c_in(v,w,x))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),x,y),w),y))*.
% 299.97/300.60 50724[2:SpR:50419.1,4377.1] || hBOOL(u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_False))*.
% 299.97/300.60 50942[2:Rew:251.0,50871.0] || hBOOL(hAPP(hAPP(u,c_False),v)) equal(hAPP(hAPP(u,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_COMBC(u,w,x,y),v))),v),c_False)** -> .
% 299.97/300.60 54461[0:SSi:54460.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),c_False) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u)),v),u)**.
% 299.97/300.60 54463[0:SSi:54462.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),c_False) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w)),v),u)**.
% 299.97/300.60 55273[0:SSi:55272.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),c_False) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v)),u)**.
% 299.97/300.60 55275[0:SSi:55274.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),c_False) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),u)**.
% 299.97/300.60 58511[0:SpL:58351.0,461.0] || equal(hAPP(u,v),v) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),x,y)* -> equal(hAPP(hAPP(w,u),v),v)**.
% 299.97/300.60 58624[0:Res:58395.0,352.0] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.60 58639[0:SSi:58597.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)))*.
% 299.97/300.60 58640[0:SSi:58592.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)))*.
% 299.97/300.60 59010[0:Res:58777.0,352.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_bool),w,tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),y)))*.
% 299.97/300.60 59026[0:SSi:58989.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))))*.
% 299.97/300.60 59027[0:SSi:58988.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)),v)))*.
% 299.97/300.60 59267[0:Res:59165.0,352.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_bool),w,tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),u)))*.
% 299.97/300.60 59281[0:SSi:59246.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v))))*.
% 299.97/300.60 59282[0:SSi:59245.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u)),v)))*.
% 299.97/300.60 59990[0:Res:59787.0,352.0] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.60 60007[0:SSi:59962.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))*.
% 299.97/300.60 60008[0:SSi:59957.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)))*.
% 299.97/300.60 61398[0:SpL:49966.1,4585.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w,x),c_Complete__Lattice_OSup__class_OSup(tc_bool))** -> equal(v,c_False).
% 299.97/300.60 62158[2:Rew:62049.0,50467.2] || hBOOL(u) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)))* -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)).
% 299.97/300.60 62176[0:Rew:62049.0,13752.2] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool)))* -> equal(v,c_False) equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)).
% 299.97/300.60 63104[0:Rew:684.0,63043.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),tc_fun(u,tc_bool)),v),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool)),v))**.
% 299.97/300.60 63106[0:Rew:684.0,63023.0,341.0,63023.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),tc_fun(u,tc_bool)),w),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w))**.
% 299.97/300.60 63326[0:MRR:63273.0,676.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* -> equal(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w),c_COMBK(c_False,tc_bool,u)).
% 299.97/300.60 63342[0:MRR:63241.1,320.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool)),v)))* -> equal(v,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.60 63765[0:MRR:63715.1,927.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.60 63785[0:Res:716.0,827.0] || -> hBOOL(hAPP(hAPP(u,v_sko__Hoare__Mirabelle__Xconseq1__1(u,v)),v_sko__Hoare__Mirabelle__Xconseq1__2(u,v)))* c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(u,c_Com_Ocom_OSKIP,v,t_a)),t_a)*.
% 299.97/300.60 63923[0:SSi:63905.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)))**.
% 299.97/300.60 63925[0:SSi:63894.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),w)).
% 299.97/300.60 63926[0:SSi:63893.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))),w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),w)).
% 299.97/300.60 63927[0:SSi:63892.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),w))))*.
% 299.97/300.60 63928[0:SSi:63891.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),w))))*.
% 299.97/300.60 63975[0:SSi:63946.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u))))* equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)),u).
% 299.97/300.60 64024[0:SSi:63997.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))))* equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),u).
% 299.97/300.60 64029[0:Res:716.0,826.0] || -> hBOOL(hAPP(hAPP(u,v_sko__Hoare__Mirabelle__Xconseq2__1(v,u)),v_sko__Hoare__Mirabelle__Xconseq2__2(v,u)))* c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(u,c_Com_Ocom_OSKIP,v,t_a)),t_a)*.
% 299.97/300.60 64052[0:SpR:63990.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u,v)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),u),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 64275[0:MRR:64220.1,927.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.60 65025[0:SSi:65004.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)))**.
% 299.97/300.60 65027[0:SSi:64995.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),w))),v))*.
% 299.97/300.60 65028[0:SSi:64994.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),w))),v))*.
% 299.97/300.60 65029[0:SSi:64993.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),w))))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v)).
% 299.97/300.60 65030[0:SSi:64992.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),w))))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)).
% 299.97/300.60 65087[0:SSi:65057.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u))),u))* equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)),u).
% 299.97/300.60 65145[0:SSi:65117.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),u))* equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),u).
% 299.97/300.60 70269[2:SpL:818.1,49051.0] || hBOOL(c_in(u,v,w)) equal(hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,y,w,z),w,z),v),y),c_False)** -> .
% 299.97/300.60 70197[0:SpR:818.1,12544.0] || hBOOL(c_in(u,v,w)) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,c_False,w,tc_bool),w,tc_bool),v)),c_False)**.
% 299.97/300.60 71132[0:MRR:71131.1,12623.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_bool))*.
% 299.97/300.60 71270[2:Res:50386.1,444.0] || hBOOL(u) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v).
% 299.97/300.60 71973[0:MRR:71972.1,12623.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))* -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool))*.
% 299.97/300.60 72598[0:MRR:72597.1,12623.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool))*.
% 299.97/300.60 73255[0:SpR:34557.1,64010.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))))* equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),u).
% 299.97/300.60 73254[0:SpR:34557.1,63959.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u))))* equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)),u).
% 299.97/300.60 73165[0:SpR:34557.1,1430.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),u))*.
% 299.97/300.60 73670[0:Res:73577.0,352.0] || hBOOL(c_in(c_False,u,v)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_HOL_Oord__class_Oless(tc_bool),v,tc_fun(w,tc_bool)),hAPP(hAPP(c_fequal(t_a),v_x),v_x)))*.
% 299.97/300.60 74887[0:SpR:149.0,73586.1] || hBOOL(c_in(v_x,c_COMBB(u,v,w,x,y),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(u,hAPP(v,v_x))))*.
% 299.97/300.60 74886[0:SpR:424.0,73586.1] || hBOOL(c_in(v_x,c_Fun_Ocomp(u,v,w,x,y),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(u,hAPP(v,v_x))))*.
% 299.97/300.60 75407[0:SpR:34559.1,1430.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),x))*.
% 299.97/300.60 75668[0:SSi:75648.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v)).
% 299.97/300.60 75669[0:SSi:75646.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),c_False))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),u))*.
% 299.97/300.60 75969[2:SpR:50408.1,35.0] || hBOOL(u) -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w,x),c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.60 77074[0:SpR:410.0,58783.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),v),hAPP(c_Set_Oinsert(u,tc_bool),w)))),u)**.
% 299.97/300.60 77052[0:SpR:58783.0,54070.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)))**.
% 299.97/300.60 77336[0:SpR:410.0,59886.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),v),hAPP(c_Set_Oinsert(u,tc_bool),w)))),u)**.
% 299.97/300.60 77314[0:SpR:59886.0,54440.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)))**.
% 299.97/300.60 78860[0:Res:222.3,28275.1] class_Orderings_Olinorder(tc_bool) || hBOOL(c_in(u,v,tc_bool))* c_Finite__Set_Ofinite(v,tc_bool) equal(c_False,u) -> equal(u,c_Finite__Set_Olinorder__class_OMin(v,tc_bool)).
% 299.97/300.60 79660[0:SpL:149.0,78858.0] || equal(hAPP(u,hAPP(v,w)),c_False)** equal(c_False,w) -> equal(w,c_Inductive_Ocomplete__lattice__class_Olfp(c_COMBB(u,v,x,y,z),tc_bool))*.
% 299.97/300.60 79659[0:SpL:424.0,78858.0] || equal(hAPP(u,hAPP(v,w)),c_False)** equal(c_False,w) -> equal(w,c_Inductive_Ocomplete__lattice__class_Olfp(c_Fun_Ocomp(u,v,x,y,z),tc_bool))*.
% 299.97/300.60 80025[0:Rew:80024.1,80011.2] || equal(u,c_False) equal(hAPP(c_Set_Oinsert(u,tc_bool),v),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(u,tc_bool),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.60 80329[0:Res:701.0,79861.0] || equal(c_Finite__Set_Ofold1Set(u,hAPP(c_fequal(v),c_False),v),c_False)** -> equal(c_Finite__Set_Ofold1Set(u,hAPP(c_fequal(v),c_False),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.60 80462[0:Rew:80024.1,80427.1] || equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(c_False,v),w)),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(u,v),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.60 80464[0:Rew:80024.1,80391.1] || equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(u,v),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.60 80887[0:SpR:12371.2,1430.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),x))*.
% 299.97/300.60 80885[0:SpR:12371.2,35.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v,v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)))**.
% 299.97/300.60 81198[0:SpR:14438.2,1430.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),x))*.
% 299.97/300.60 81196[0:SpR:14438.2,35.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v,v,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)))**.
% 299.97/300.60 81836[0:SpR:9870.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Set_Oimage(x,tc_bool,u)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool))))*.
% 299.97/300.60 81835[0:SpR:8989.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Set_Oimage(x,tc_bool,u)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool))))*.
% 299.97/300.60 81834[0:SpR:9637.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Set_Oimage(x,tc_bool,u)),c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool))))*.
% 299.97/300.60 81833[0:SpR:8816.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Set_Oimage(x,tc_bool,u)),c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool))))*.
% 299.97/300.60 81787[0:SpR:12684.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u))))*.
% 299.97/300.60 81785[0:SpR:29198.1,24254.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,u,tc_bool))))*.
% 299.97/300.60 81781[0:SpR:29746.1,24254.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,u,tc_bool))))*.
% 299.97/300.60 81751[0:SpR:20177.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Finite__Set_Ofold1Set(w,hAPP(c_fequal(x),c_Orderings_Otop__class_Otop(tc_bool)),x))))*.
% 299.97/300.60 81731[0:SpR:20252.1,24254.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)))))*.
% 299.97/300.60 81730[0:SpR:20163.1,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)))))*.
% 299.97/300.60 81729[0:SpR:20167.1,24254.0] class_Orderings_Obot(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)))))*.
% 299.97/300.60 81727[0:SpR:20253.1,24254.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)))))*.
% 299.97/300.60 81726[0:SpR:20249.1,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.60 81725[0:SpR:20250.1,24254.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.60 81724[0:SpR:20251.1,24254.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.60 81723[0:SpR:20246.1,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.60 81722[0:SpR:20247.1,24254.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.60 81721[0:SpR:20248.1,24254.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.60 81719[0:SpR:20157.1,24254.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.60 81718[0:SpR:20158.1,24254.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.60 81717[0:SpR:20159.1,24254.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.60 81716[0:SpR:20160.1,24254.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.60 81715[0:SpR:20161.1,24254.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.60 81714[0:SpR:20162.1,24254.0] class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.60 81711[0:SpR:20209.1,24254.0] || -> equal(c_Orderings_Otop__class_Otop(tc_bool),u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_HOL_Oord__class_Oless(tc_bool),u))))*.
% 299.97/300.60 81703[0:SpR:20303.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Set_Oinsert(w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))))))*.
% 299.97/300.60 81701[0:SpR:20345.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x)))))*.
% 299.97/300.60 81700[0:SpR:20330.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_lessequals(tc_bool),x)))))*.
% 299.97/300.60 81699[0:SpR:20287.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)))))*.
% 299.97/300.60 81684[0:SpR:149.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,hAPP(v,w))),hAPP(hAPP(c_Set_Oinsert(x,y),c_COMBB(u,v,z,x1,x2)),w)))*.
% 299.97/300.60 81683[0:SpR:424.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,hAPP(v,w))),hAPP(hAPP(c_Set_Oinsert(x,y),c_Fun_Ocomp(u,v,z,x1,x2)),w)))*.
% 299.97/300.60 81677[0:SpR:64010.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)))))*.
% 299.97/300.60 81675[0:SpR:63959.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)))))*.
% 299.97/300.60 81632[0:SpR:2678.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),u)),hAPP(c_Set_Oinsert(y,x),u))))*.
% 299.97/300.60 81624[0:SpR:59170.1,24254.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x)),u)))*.
% 299.97/300.60 81610[0:SpR:58781.1,24254.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)),x)))*.
% 299.97/300.60 81537[0:SpR:691.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Set_Oimage(x,y,u)),c_COMBK(c_False,tc_bool,y))))*.
% 299.97/300.60 81878[0:SSi:81855.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(u,v)),hAPP(hAPP(c_Set_Oinsert(w,x),u),v)),hAPP(hAPP(c_Set_Oinsert(w,x),u),v))**.
% 299.97/300.60 83041[2:SpL:405.0,49246.0] || equal(c_in(hAPP(u,v),hAPP(c_Set_Oinsert(w,x),hAPP(c_Set_Oimage(u,y,x),hAPP(c_Set_Oinsert(v,y),z))),x),c_False)** -> .
% 299.97/300.60 83036[2:SpL:410.0,49246.0] || equal(c_in(u,hAPP(c_Set_Oinsert(v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Set_Oinsert(u,w),y))),w),c_False)** -> .
% 299.97/300.60 83436[0:SpR:405.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oimage(x,y,v),hAPP(c_Set_Oinsert(z,y),x1))),hAPP(u,hAPP(x,z))))*.
% 299.97/300.60 83431[0:SpR:410.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(u,v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),hAPP(c_Set_Oinsert(y,v),z))),hAPP(u,y)))*.
% 299.97/300.60 83414[0:SpR:9870.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(u,tc_bool,v),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool),w),z)),c_COMBK(c_False,tc_bool,v)))*.
% 299.97/300.60 83413[0:SpR:8989.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(u,tc_bool,v),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool),w),z)),c_COMBK(c_False,tc_bool,v)))*.
% 299.97/300.60 83412[0:SpR:9637.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(u,tc_bool,v),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool),w),z)),c_COMBK(c_False,tc_bool,v)))*.
% 299.97/300.60 83411[0:SpR:8816.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(u,tc_bool,v),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool),w),z)),c_COMBK(c_False,tc_bool,v)))*.
% 299.97/300.60 83384[0:SpR:13523.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w)),u),x)),c_False))*.
% 299.97/300.60 83383[0:SpR:17217.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)),u),x)),c_False))*.
% 299.97/300.60 83382[0:SpR:15401.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)),u),x)),c_False))*.
% 299.97/300.60 83381[0:SpR:17170.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)),u),x)),c_False))*.
% 299.97/300.60 83380[0:SpR:13524.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)),u),x)),c_False))*.
% 299.97/300.60 83370[0:SpR:28358.1,22323.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(u,tc_bool),x),v),y)),u))*.
% 299.97/300.60 83367[0:SpR:12724.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_Set_Oinsert(c_False,tc_bool),x)),u),y)),c_False))*.
% 299.97/300.60 83366[0:SpR:13633.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),u),x)),c_False))*.
% 299.97/300.60 83362[0:SpR:12684.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),w),u),x)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),w)))*.
% 299.97/300.60 83360[0:SpR:29198.1,22323.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,u,tc_bool),v),y)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83356[0:SpR:29746.1,22323.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,u,tc_bool),v),y)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83326[0:SpR:20177.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_Finite__Set_Ofold1Set(w,hAPP(c_fequal(x),c_Orderings_Otop__class_Otop(tc_bool)),x),u),y)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83318[0:SpR:61326.1,22323.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v),x)),c_False))*.
% 299.97/300.60 83306[0:SpR:20252.1,22323.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83305[0:SpR:20163.1,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83304[0:SpR:20167.1,22323.0] class_Orderings_Obot(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83302[0:SpR:20253.1,22323.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83301[0:SpR:20249.1,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83300[0:SpR:20250.1,22323.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83299[0:SpR:20251.1,22323.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83298[0:SpR:20246.1,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83297[0:SpR:20247.1,22323.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83296[0:SpR:20248.1,22323.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83294[0:SpR:20157.1,22323.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83293[0:SpR:20158.1,22323.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83292[0:SpR:20159.1,22323.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83291[0:SpR:20160.1,22323.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83290[0:SpR:20161.1,22323.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83289[0:SpR:20162.1,22323.0] class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83286[0:SpR:20209.1,22323.0] || -> equal(c_Orderings_Otop__class_Otop(tc_bool),u) hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83278[0:SpR:20303.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),u),y)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83276[0:SpR:20345.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x)),u),y)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83275[0:SpR:20330.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_lessequals(tc_bool),x)),u),y)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83274[0:SpR:20287.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83259[0:SpR:149.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_COMBB(u,v,w,x,y),z,x1),hAPP(c_Set_Oinsert(x2,z),x3)),hAPP(u,hAPP(v,x2))))*.
% 299.97/300.60 83258[0:SpR:424.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Fun_Ocomp(u,v,w,x,y),z,x1),hAPP(c_Set_Oinsert(x2,z),x3)),hAPP(u,hAPP(v,x2))))*.
% 299.97/300.60 83255[0:SpR:65131.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),v),x)),u))*.
% 299.97/300.60 83253[0:SpR:65071.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)),v),x)),u))*.
% 299.97/300.60 83252[0:SpR:64010.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),v),x)),u))*.
% 299.97/300.60 83250[0:SpR:63959.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)),v),x)),u))*.
% 299.97/300.60 83207[0:SpR:2678.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w,x),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(y,u),v),w),z)),v))*.
% 299.97/300.60 83199[0:SpR:59170.1,22323.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w,x),hAPP(c_Set_Oinsert(u,w),y)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83185[0:SpR:58781.1,22323.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83112[0:SpR:691.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(u,v,w),x,y),hAPP(c_Set_Oinsert(c_COMBK(c_False,tc_bool,v),x),z)),c_COMBK(c_False,tc_bool,w)))*.
% 299.97/300.60 83481[0:SpR:326.1,83095.0] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_False,tc_bool),x,y),hAPP(c_Set_Oimage(z,w,x),v)),c_False))*.
% 299.97/300.60 83475[0:SpR:410.0,83095.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_False,tc_bool),u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),hAPP(c_Set_Oinsert(x,u),y))),c_False))*.
% 299.97/300.60 83529[0:SpR:405.0,83096.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(hAPP(u,v),tc_bool),w,x),hAPP(c_Set_Oimage(u,y,w),hAPP(c_Set_Oinsert(v,y),z))),c_False))*.
% 299.97/300.60 83524[0:SpR:410.0,83096.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),hAPP(c_Set_Oinsert(u,v),y))),c_False))*.
% 299.97/300.60 83959[0:SpR:1581.0,23916.1] || hBOOL(hAPP(hAPP(c_fequal(u),v),v_x)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(u),v_x),v)),hAPP(w,v_x)))*.
% 299.97/300.60 84639[0:Res:84401.1,1141.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(u,v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w)))) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w)),c_False))*.
% 299.97/300.60 84828[2:SSi:84805.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)) equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),c_False)** -> .
% 299.97/300.60 84829[2:SSi:84804.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)) equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)),v),c_False)** -> .
% 299.97/300.60 84830[2:SSi:84778.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),c_False)** -> .
% 299.97/300.60 85373[0:SpL:803.2,84527.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool)))* -> hBOOL(v).
% 299.97/300.60 85372[0:SpL:802.2,84527.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool)))* -> hBOOL(u).
% 299.97/300.60 85470[2:SSi:85444.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)) equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v)),c_False)** -> .
% 299.97/300.60 85471[2:SSi:85443.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)) equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u)),v),c_False)** -> .
% 299.97/300.60 85472[2:SSi:85442.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v)),c_False)** -> .
% 299.97/300.60 86628[0:SpR:86619.1,4377.1] || hBOOL(u) hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_False))*.
% 299.97/300.60 87393[0:Res:29.2,86811.0] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* hBOOL(w) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)))*.
% 299.97/300.60 87392[0:Res:28.2,86811.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* hBOOL(w) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)))*.
% 299.97/300.60 87171[0:SpL:5278.2,86811.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) hBOOL(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OInf__class_OInf(u)))*.
% 299.97/300.60 87170[0:SpL:5147.2,86811.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) hBOOL(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OInf__class_OInf(u)))*.
% 299.97/300.60 87156[0:SpL:27005.0,86811.0] || hBOOL(c_COMBK(c_False,tc_bool,u)) hBOOL(hAPP(c_Set_Oinsert(v,u),w))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool))))*.
% 299.97/300.60 87146[0:SpL:5277.2,86811.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) hBOOL(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OSup__class_OSup(u)))*.
% 299.97/300.60 87145[0:SpL:5146.2,86811.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) hBOOL(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OSup__class_OSup(u)))*.
% 299.97/300.60 86995[0:SpL:167.1,86811.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))* hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w)))*.
% 299.97/300.60 86994[0:SpL:168.1,86811.0] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))* hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w)))*.
% 299.97/300.60 86992[0:SpL:1597.1,86811.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w))* hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(u),w)))*.
% 299.97/300.60 86990[0:SpL:342.1,86811.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))* hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w)))*.
% 299.97/300.60 86989[0:SpL:343.1,86811.0] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))* hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w)))*.
% 299.97/300.60 86904[0:SpL:1597.1,86811.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_fequal(u),v),w))* hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)))*.
% 299.97/300.60 86903[0:SpL:2578.1,86811.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_fequal(u),v),w))* hBOOL(w) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)))*.
% 299.97/300.60 86902[0:SpL:2594.1,86811.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w))* hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)))*.
% 299.97/300.60 86899[0:SpL:2578.1,86811.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w))* hBOOL(w) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(u),v)))*.
% 299.97/300.60 87804[0:MRR:15041.3,87746.1] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.60 87807[0:MRR:15019.3,87746.1] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.60 87819[0:MRR:14973.3,87746.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v)),w))*.
% 299.97/300.60 87820[0:MRR:14972.3,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v)),w))*.
% 299.97/300.60 87821[0:MRR:14970.3,87746.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v)),w))*.
% 299.97/300.60 87822[0:MRR:14969.3,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v)),w))*.
% 299.97/300.60 87825[0:MRR:81023.3,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v)),w))*.
% 299.97/300.60 87826[0:MRR:81292.3,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v)),w))*.
% 299.97/300.60 87844[0:MRR:73257.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v)) hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u)),v))*.
% 299.97/300.60 87845[0:MRR:75509.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v)) hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),w))*.
% 299.97/300.60 88466[0:SpR:803.2,87253.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(w) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)))*.
% 299.97/300.60 88465[0:SpR:802.2,87253.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)))*.
% 299.97/300.60 88520[0:Res:2707.1,10584.0] || hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x),tc_Hoare__Mirabelle_Otriple(w)))* -> c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(w)),u),w).
% 299.97/300.60 88588[0:SpL:22632.0,86811.0] || hBOOL(hAPP(c_fequal(u),hAPP(v,w)))* hBOOL(hAPP(c_fequal(x),w))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oimage(v,x,u)))*.
% 299.97/300.60 88556[0:SpR:22632.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oimage(u,v,w),hAPP(c_fequal(v),x),hAPP(c_fequal(w),hAPP(u,x)),y,z),c_Set_Oimage(u,v,w))**.
% 299.97/300.60 89064[0:SpR:82006.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Set_Oinsert(u,v),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),w,x),hAPP(c_Set_Oinsert(c_False,w),y)),x))*.
% 299.97/300.60 89059[0:SpR:9869.0,22324.0] || -> hBOOL(c_in(hAPP(c_fequal(tc_bool),u),hAPP(c_Set_Oimage(c_Set_Oinsert(u,tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool),v),y)),w))*.
% 299.97/300.60 89058[0:SpR:8988.0,22324.0] || -> hBOOL(c_in(hAPP(c_fequal(tc_bool),u),hAPP(c_Set_Oimage(c_Set_Oinsert(u,tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool),v),y)),w))*.
% 299.97/300.60 89057[0:SpR:9636.0,22324.0] || -> hBOOL(c_in(hAPP(c_fequal(tc_bool),u),hAPP(c_Set_Oimage(c_Set_Oinsert(u,tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool),v),y)),w))*.
% 299.97/300.60 89056[0:SpR:8815.0,22324.0] || -> hBOOL(c_in(hAPP(c_fequal(tc_bool),u),hAPP(c_Set_Oimage(c_Set_Oinsert(u,tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool),v),y)),w))*.
% 299.97/300.60 89047[0:SpR:13516.1,22324.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(u,v),x)),w))*.
% 299.97/300.60 89046[0:SpR:35267.1,22324.0] || equal(c_False,u) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),v),x)),w))*.
% 299.97/300.60 89045[0:SpR:13736.1,22324.0] || -> equal(u,c_False) hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v),x)),w))*.
% 299.97/300.60 89044[2:SpR:50425.1,22324.0] || hBOOL(u) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v),x)),w))*.
% 299.97/300.60 89040[0:SpR:35239.1,22324.0] || equal(c_False,u) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_fequal(tc_bool),u),v),x)),w))*.
% 299.97/300.60 89039[0:SpR:44156.1,22324.0] || equal(c_False,u) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_bool),u),v),x)),w))*.
% 299.97/300.60 89033[0:SpR:13518.1,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v),x)),w))*.
% 299.97/300.60 89032[0:SpR:13522.1,22324.0] class_Orderings_Obot(u) || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v),x)),w))*.
% 299.97/300.60 89025[0:SpR:82160.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),u),x)),v))*.
% 299.97/300.60 89023[0:SpR:13552.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),u),y)),v))*.
% 299.97/300.60 89022[0:SpR:12758.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),u),x)),v))*.
% 299.97/300.60 89019[0:SpR:13539.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_lessequals(tc_bool),c_False)),u),x)),v))*.
% 299.97/300.60 89018[0:SpR:12721.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_fequal(tc_bool),c_False)),u),x)),v))*.
% 299.97/300.60 88977[0:SpR:20106.1,22324.0] || hBOOL(u) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(c_COMBK(u,x,y),v),z)),w))*.
% 299.97/300.60 88947[0:SpR:20245.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),u),x)),v))*.
% 299.97/300.60 88940[0:SpR:20156.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),u),x)),v))*.
% 299.97/300.60 88937[0:SpR:20134.1,22324.0] || hBOOL(u) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),x)),w))*.
% 299.97/300.60 88925[0:SpR:15551.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),v),x)),w))*.
% 299.97/300.60 88924[0:SpR:12263.0,22324.0] || -> hBOOL(c_in(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(c_False,tc_bool),u),v),x)),w))*.
% 299.97/300.60 88923[0:SpR:29192.1,22324.0] || equal(c_False,u) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,u,tc_bool),v),y)),w))*.
% 299.97/300.60 88920[0:SpR:29740.1,22324.0] || equal(c_False,u) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,u,tc_bool),v),y)),w))*.
% 299.97/300.60 88901[0:SpR:54836.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x),v),y)),w))*.
% 299.97/300.60 88900[0:SpR:54440.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),u),v),y)),w))*.
% 299.97/300.60 88899[0:SpR:54837.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x),v),y)),w))*.
% 299.97/300.60 88898[0:SpR:54070.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),u),v),y)),w))*.
% 299.97/300.60 88863[0:SpR:1461.0,22324.0] || -> hBOOL(c_in(hAPP(c_fequal(u),v),hAPP(c_Set_Oimage(c_Set_Oinsert(v,u),w,x),hAPP(c_Set_Oinsert(hAPP(c_fequal(u),v),w),y)),x))*.
% 299.97/300.60 88848[0:SpR:54831.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w,x),hAPP(c_Set_Oinsert(u,w),y)),x))*.
% 299.97/300.60 88847[0:SpR:54071.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w,x),hAPP(c_Set_Oinsert(u,w),y)),x))*.
% 299.97/300.60 88844[0:SpR:54074.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),w,x),hAPP(c_Set_Oinsert(u,w),y)),x))*.
% 299.97/300.60 88841[0:SpR:2160.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w,x),hAPP(c_Set_Oinsert(u,w),y)),x))*.
% 299.97/300.60 88836[0:SpR:54075.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),w,x),hAPP(c_Set_Oinsert(u,w),y)),x))*.
% 299.97/300.60 88835[0:SpR:9853.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)),w,x),hAPP(c_Set_Oinsert(u,w),y)),x))*.
% 299.97/300.60 88834[0:SpR:8972.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)),w,x),hAPP(c_Set_Oinsert(u,w),y)),x))*.
% 299.97/300.60 88833[0:SpR:9620.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)),w,x),hAPP(c_Set_Oinsert(u,w),y)),x))*.
% 299.97/300.60 88832[0:SpR:8799.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)),w,x),hAPP(c_Set_Oinsert(u,w),y)),x))*.
% 299.97/300.60 88828[0:SpR:1581.0,22324.0] || -> hBOOL(c_in(hAPP(hAPP(c_fequal(u),v),w),hAPP(c_Set_Oimage(hAPP(c_fequal(u),w),x,y),hAPP(c_Set_Oinsert(v,x),z)),y))*.
% 299.97/300.60 88820[0:SpR:1923.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),u),w,x),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w),y)),x))*.
% 299.97/300.60 88809[0:SpR:187.1,22324.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),w),y)),x))*.
% 299.97/300.60 88807[0:SpR:12564.1,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),w),y)),x))*.
% 299.97/300.60 88806[0:SpR:186.1,22324.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.60 88795[0:SpR:9856.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool),v),y)),w))*.
% 299.97/300.60 88794[0:SpR:8975.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool),v),y)),w))*.
% 299.97/300.60 88793[0:SpR:9623.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool),v),y)),w))*.
% 299.97/300.60 88792[0:SpR:8802.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool),v),y)),w))*.
% 299.97/300.60 88782[0:SpR:685.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w,x),hAPP(c_Set_Oinsert(c_COMBK(c_False,tc_bool,v),w),y)),x))*.
% 299.97/300.60 88781[0:SpR:684.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v)),w,x),hAPP(c_Set_Oinsert(u,w),y)),x))*.
% 299.97/300.60 88775[0:SpR:278.1,22324.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.60 88772[0:SpR:277.1,22324.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),w),y)),x))*.
% 299.97/300.60 88770[0:SpR:12282.1,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),w),y)),x))*.
% 299.97/300.60 88766[0:SpR:683.1,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,w),hAPP(c_Set_Oinsert(c_COMBK(c_False,tc_bool,u),v),x)),w))*.
% 299.97/300.60 88765[0:SpR:682.1,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,w),hAPP(c_Set_Oinsert(c_COMBK(c_False,tc_bool,u),v),x)),w))*.
% 299.97/300.60 88763[0:SpR:699.0,22324.0] || -> hBOOL(c_in(hAPP(c_fequal(u),v),hAPP(c_Set_Oimage(c_Set_Oinsert(v,u),w,x),hAPP(c_Set_Oinsert(c_COMBK(c_False,tc_bool,u),w),y)),x))*.
% 299.97/300.60 88758[0:SpR:2659.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(c_Set_Oinsert(v,u),w,x),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),w),y)),x))*.
% 299.97/300.60 88756[0:SpR:357.1,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,w),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v),x)),w))*.
% 299.97/300.60 88755[0:SpR:441.1,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,w),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v),x)),w))*.
% 299.97/300.60 88726[0:SpR:728.0,22324.0] || -> hBOOL(c_in(hAPP(c_fequal(u),v),hAPP(c_Set_Oimage(c_COMBC(c_fequal(u),u,u,tc_bool),w,x),hAPP(c_Set_Oinsert(v,w),y)),x))*.
% 299.97/300.60 88725[0:SpR:418.1,22324.0] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(c_Set_Oinsert(u,w),x,y),hAPP(c_Set_Oinsert(v,x),z)),y))*.
% 299.97/300.60 88722[0:SpR:61339.1,22324.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.60 89143[0:SpR:87864.1,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 89138[0:SpR:87864.1,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.60 89470[0:SSi:89408.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),v)),w))* hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)) -> hBOOL(w).
% 299.97/300.60 89576[0:SSi:89556.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),tc_fun(v,tc_bool)),u,tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))** -> .
% 299.97/300.60 90097[0:SpL:456.0,19117.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(v,w),x),y,w,tc_fun(u,tc_bool))),hAPP(y,v)))* -> .
% 299.97/300.60 90693[0:SpL:90441.0,352.0] || hBOOL(u) hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),w,tc_fun(y,tc_bool)),u))*.
% 299.97/300.60 90773[0:SpR:90717.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),u),x)),v))*.
% 299.97/300.60 90949[0:SpR:5398.0,5568.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)),v),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w))**.
% 299.97/300.60 91402[0:SpL:613.0,89691.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),hAPP(c_Set_Oinsert(w,u),x))),hAPP(c_Set_Oinsert(v,u),x)))* -> .
% 299.97/300.60 92470[0:SpR:149.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(u,hAPP(v,v_x)),tc_bool),hAPP(hAPP(c_Set_Oinsert(w,t_a),c_COMBB(u,v,x,y,z)),v_x)),c_False)**.
% 299.97/300.60 92469[0:SpR:424.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(u,hAPP(v,v_x)),tc_bool),hAPP(hAPP(c_Set_Oinsert(w,t_a),c_Fun_Ocomp(u,v,x,y,z)),v_x)),c_False)**.
% 299.97/300.60 92465[0:SpR:59170.1,86793.0] || equal(c_Orderings_Otop__class_Otop(tc_bool),v_x) -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v)),v_x)),c_False)**.
% 299.97/300.60 92452[0:SpR:58781.1,86793.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)),v_x)),c_False)**.
% 299.97/300.60 92333[0:SpR:86793.0,35.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(hAPP(u,v_x),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),u),v_x),c_False,w,x),c_HOL_Ominus__class_Ominus(hAPP(u,v_x),tc_bool))**.
% 299.97/300.60 92868[0:SpR:86619.1,24257.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))),c_False))*.
% 299.97/300.60 92838[0:SpR:13526.1,24257.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(v,tc_bool)),w),c_COMBK(u,x,y))),c_False))*.
% 299.97/300.60 92815[0:SpR:9868.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool))),u))*.
% 299.97/300.60 92814[0:SpR:8987.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool))),u))*.
% 299.97/300.60 92813[0:SpR:9635.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool))),u))*.
% 299.97/300.60 92812[0:SpR:8814.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool))),u))*.
% 299.97/300.60 92798[0:SpR:13730.1,24257.0] || -> equal(u,c_False) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OSup__class_OSup(tc_bool),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))),c_False))*.
% 299.97/300.60 92797[2:SpR:50419.1,24257.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OSup__class_OSup(tc_bool),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))),c_False))*.
% 299.97/300.60 92676[0:SpR:714.1,24257.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OSup__class_OSup(u),tc_fun(v,tc_bool)),w),hAPP(c_fequal(u),x))),x))*.
% 299.97/300.60 92675[0:SpR:710.1,24257.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(u),tc_fun(v,tc_bool)),w),hAPP(c_fequal(u),x))),x))*.
% 299.97/300.60 92673[0:SpR:28268.1,24257.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),tc_fun(w,tc_bool)),x),u)),v))*.
% 299.97/300.60 92658[0:SpR:28269.1,24257.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),tc_fun(v,tc_bool)),w),x)),x))*.
% 299.97/300.60 92591[0:SpR:367.1,24257.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_fun(w,tc_bool)),x),c_Orderings_Obot__class_Obot(u))),v))*.
% 299.97/300.60 92589[0:SpR:12280.1,24257.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_fun(w,tc_bool)),x),c_Orderings_Obot__class_Obot(u))),v))*.
% 299.97/300.60 92584[0:SpR:677.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),tc_fun(w,tc_bool)),x),c_COMBK(c_False,tc_bool,v))),u))*.
% 299.97/300.60 92583[0:SpR:540.1,24257.0] class_Orderings_Obot(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),tc_fun(v,tc_bool)),w),v_x)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.60 92582[0:SpR:443.1,24257.0] class_Orderings_Otop(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),tc_fun(v,tc_bool)),w),v_x)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.60 92576[0:SpR:19.1,24257.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_fun(w,tc_bool)),x),c_Orderings_Otop__class_Otop(u))),v))*.
% 299.97/300.60 92574[0:SpR:12562.1,24257.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_fun(w,tc_bool)),x),c_Orderings_Otop__class_Otop(u))),v))*.
% 299.97/300.60 92568[0:SpR:678.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),tc_fun(w,tc_bool)),x),u)),c_COMBK(c_False,tc_bool,v)))*.
% 299.97/300.60 92565[0:SpR:29202.1,24257.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),tc_fun(w,tc_bool)),x),y)),c_False))*.
% 299.97/300.60 92563[0:SpR:29751.1,24257.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),tc_fun(w,tc_bool)),x),y)),c_False))*.
% 299.97/300.60 92541[0:SpR:18.1,24257.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),tc_fun(v,tc_bool)),w),x)),x))*.
% 299.97/300.60 92537[0:SpR:366.1,24257.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),tc_fun(v,tc_bool)),w),x)),x))*.
% 299.97/300.60 92526[0:SpR:712.1,24257.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_fequal(u),tc_fun(v,tc_bool)),w),x)),c_SetInterval_Oord__class_OatLeastAtMost(x,x,u)))*.
% 299.97/300.60 93278[0:SpR:93108.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),v_x))),v_x)),c_False)**.
% 299.97/300.60 93277[0:SpR:93108.0,73586.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),v_x)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.60 93276[0:SpR:93108.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),v_x)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),w))*.
% 299.97/300.60 93275[0:SpR:93108.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),v_x)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v_x))*.
% 299.97/300.60 93269[0:SpR:93108.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),x,y),hAPP(c_Set_Oinsert(w,x),z)),w))*.
% 299.97/300.60 93264[0:SpR:93108.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),hAPP(c_Set_Oinsert(y,x),u))),u)))*.
% 299.97/300.60 93263[0:SpR:93108.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),u)),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.60 93517[0:Res:89278.2,79861.0] || hBOOL(c_in(c_False,c_False,tc_bool))* hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_False)) equal(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),c_Complete__Lattice_OSup__class_OSup(tc_bool)).
% 299.97/300.60 94246[0:Res:87830.1,738.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.60 94245[0:Res:87830.1,737.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.60 94839[0:SSi:94813.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(c_Set_Oinsert(v,w),hAPP(c_Set_Oinsert(x,w),u)),tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(w,tc_bool)))** -> .
% 299.97/300.60 95061[0:Res:10597.1,597.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oinsert(v,tc_Hoare__Mirabelle_Otriple(w)),x),w)* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),y),u),x,w)*.
% 299.97/300.60 95059[0:Res:10597.1,599.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w)* c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),y),u),w)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,v,w)*.
% 299.97/300.60 95014[0:SpR:411.0,10597.1] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),y),u)),v,w)*.
% 299.97/300.60 95296[0:Res:10598.1,597.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oinsert(v,tc_Hoare__Mirabelle_Otriple(w)),x),w)* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),u),y),x,w)*.
% 299.97/300.60 95294[0:Res:10598.1,599.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w)* c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),u),y),w)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,v,w)*.
% 299.97/300.60 95274[0:SpR:410.0,10598.1] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),u),y)),v,w)*.
% 299.97/300.60 95255[0:SpR:456.0,10598.1] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(u,v),w,x) -> c_Hoare__Mirabelle_Ohoare__derivs(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(v,y),z),u,y,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)),w,x)*.
% 299.97/300.60 95312[0:SSi:95273.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),hAPP(c_Set_Oinsert(u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x)),v,w)*.
% 299.97/300.60 95520[0:Res:94262.0,10618.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x),u)),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.60 95514[0:Res:89536.0,10618.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),u),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),v)*.
% 299.97/300.60 95735[0:Res:94262.0,10619.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),u),x)),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.60 95729[0:Res:89536.0,10619.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),u),w),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),v)*.
% 299.97/300.60 95739[0:SSi:95713.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w)),x,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(v,x,u).
% 299.97/300.60 96251[0:SpR:46.0,23241.1] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(w,x,y),hAPP(c_Set_Oimage(z,x1,x),hAPP(c_Set_Oimage(x2,v,x1),u))),y)*.
% 299.97/300.60 96591[0:Res:13346.0,86811.0] || hBOOL(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))) -> equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v) hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v)))*.
% 299.97/300.60 96619[0:SSi:96602.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v) equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 299.97/300.60 96945[0:Res:13347.0,20047.0] || -> equal(c_COMBK(c_False,tc_bool,u),c_Orderings_Otop__class_Otop(tc_bool)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 96942[0:Res:13347.0,86811.0] || hBOOL(u)* -> equal(u,c_COMBK(c_False,tc_bool,v))* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v))))*.
% 299.97/300.60 97103[0:SpL:611.0,11219.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_Set_Oinsert(u,v),w),hAPP(c_Set_Oinsert(u,v),w),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))** -> .
% 299.97/300.60 97566[0:SpR:19877.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OInf__class_OInf(tc_bool)),v),hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.60 97472[0:SpR:20155.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_fequal(w),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.60 97239[0:SpR:50.1,24259.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),x),v)))*.
% 299.97/300.60 97238[0:SpR:1919.1,24259.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),x),v)))*.
% 299.97/300.60 97237[0:SpR:12821.1,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),x),v)))*.
% 299.97/300.60 97236[0:SpR:255.1,24259.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),x),v)))*.
% 299.97/300.60 97235[0:SpR:1918.1,24259.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),x),v)))*.
% 299.97/300.60 97234[0:SpR:12701.1,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),x),v)))*.
% 299.97/300.60 97215[0:SpR:410.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,v)),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u),y)),v)))*.
% 299.97/300.60 97656[0:SSi:97214.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,v)),hAPP(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(w,tc_bool)),hAPP(c_Set_Oinsert(u,tc_fun(w,tc_bool)),x)),v)))*.
% 299.97/300.60 98076[0:SpR:19877.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OInf__class_OInf(tc_bool)),hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.60 97982[0:SpR:20155.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_fequal(w),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.60 97749[0:SpR:50.1,24260.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),v)))*.
% 299.97/300.60 97748[0:SpR:1919.1,24260.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),v)))*.
% 299.97/300.60 97747[0:SpR:12821.1,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),v)))*.
% 299.97/300.60 97746[0:SpR:255.1,24260.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),v)))*.
% 299.97/300.60 97745[0:SpR:1918.1,24260.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),v)))*.
% 299.97/300.60 97744[0:SpR:12701.1,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),v)))*.
% 299.97/300.60 97692[0:SpR:411.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,v)),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),u)),v)))*.
% 299.97/300.60 98288[0:Res:5045.2,451.1] class_Orderings_Olinorder(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w).
% 299.97/300.60 98287[0:Res:5045.2,449.1] class_Orderings_Olinorder(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),w).
% 299.97/300.60 98286[0:Res:5045.2,166.1] class_Orderings_Olinorder(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),v).
% 299.97/300.60 98285[0:Res:5045.2,164.1] class_Orderings_Olinorder(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v).
% 299.97/300.60 98231[0:Res:5045.2,20047.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(tc_bool)))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.60 98228[0:Res:5045.2,86811.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* hBOOL(w) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)))*.
% 299.97/300.60 98226[0:Res:5045.2,531.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_lessequals(u),v))))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)).
% 299.97/300.60 98364[0:Res:156.1,5990.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_fequal(u),w)))* hBOOL(c_in(w,v,u)).
% 299.97/300.60 98348[0:Res:412.1,5990.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),w))* -> hBOOL(c_in(v,hAPP(c_Set_Oinsert(x,u),w),u))*.
% 299.97/300.60 98378[0:SSi:98358.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),w),hAPP(c_fequal(u),v))** -> hBOOL(c_in(v,w,u)).
% 299.97/300.60 98390[0:SpL:3333.0,98370.0] || equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w)),hAPP(c_fequal(v),u))** -> hBOOL(c_in(w,hAPP(c_fequal(v),u),v)).
% 299.97/300.60 98513[0:SpR:613.0,12203.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),u),w))),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.60 98471[0:SpR:12203.2,35.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),u),v),c_Orderings_Otop__class_Otop(u),w,x),c_Complete__Lattice_OSup__class_OSup(u))**.
% 299.97/300.60 98810[0:SpR:613.0,12493.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),u),w))),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.60 98770[0:SpR:12493.2,35.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),u),v),c_Orderings_Obot__class_Obot(u),w,x),c_Complete__Lattice_OInf__class_OInf(u))**.
% 299.97/300.60 99044[0:Res:13047.2,20047.0] class_Orderings_Obot(u) class_Orderings_Olinorder(u) || -> equal(c_Orderings_Obot__class_Obot(u),c_Orderings_Otop__class_Otop(tc_bool)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 99041[0:Res:13047.2,86811.0] class_Orderings_Obot(u) class_Orderings_Olinorder(u) || hBOOL(v)* -> equal(c_Orderings_Obot__class_Obot(u),v)* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.60 99099[0:AED:250.0,99043.2] class_Orderings_Obot(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u))),c_False))*.
% 299.97/300.60 99459[0:Res:13059.2,86811.0] class_Orderings_Otop(u) class_Orderings_Olinorder(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) -> equal(v,c_Orderings_Otop__class_Otop(u)) hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),v)))*.
% 299.97/300.60 99603[0:Res:13297.2,20047.0] class_Orderings_Obot(u) class_Orderings_Oorder(u) || -> equal(c_Orderings_Obot__class_Obot(u),c_Orderings_Otop__class_Otop(tc_bool)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 99600[0:Res:13297.2,86811.0] class_Orderings_Obot(u) class_Orderings_Oorder(u) || hBOOL(v)* -> equal(v,c_Orderings_Obot__class_Obot(u))* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.60 99660[0:AED:250.0,99602.2] class_Orderings_Obot(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u))),c_False))*.
% 299.97/300.60 99750[0:Res:13309.2,86811.0] class_Orderings_Otop(u) class_Orderings_Oorder(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) -> equal(c_Orderings_Otop__class_Otop(u),v) hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),v)))*.
% 299.97/300.60 99898[0:SSi:99862.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v))*.
% 299.97/300.60 99984[0:Res:15143.2,451.1] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u)),w),w)**.
% 299.97/300.60 99983[0:Res:15143.2,449.1] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),u)),v)**.
% 299.97/300.60 99935[0:Res:15143.2,1141.0] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),u))),c_False))*.
% 299.97/300.60 100149[0:Res:15144.2,451.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u)),w),w)**.
% 299.97/300.60 100148[0:Res:15144.2,449.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),u)),v)**.
% 299.97/300.60 100100[0:Res:15144.2,1141.0] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),u))),c_False))*.
% 299.97/300.60 100221[0:SpL:3333.0,19855.0] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),c_False))* -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)),c_False).
% 299.97/300.60 100352[0:Rew:342.1,100334.3] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Lattices_Oupper__semilattice(v) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),w)**.
% 299.97/300.60 100290[0:Res:87811.2,20047.0] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 100287[0:Res:87811.2,86811.0] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(w) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v))))*.
% 299.97/300.60 100364[0:SSi:100293.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Olower__semilattice(u) || c_Finite__Set_Ofinite(v,w) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(c_Set_Oimage(x,w,y),v)),tc_fun(y,tc_bool)),y)*.
% 299.97/300.60 100379[0:Res:100350.1,10584.0] class_Lattices_Olower__semilattice(u) || -> c_Hoare__Mirabelle_Ohoare__derivs(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x)),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.60 100456[0:Res:100450.0,4686.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_HOL_Oord__class_Oless(tc_bool),v)),c_False))*.
% 299.97/300.60 100544[0:SSi:100500.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),u))*.
% 299.97/300.60 100636[0:Rew:342.1,100618.3] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Lattices_Oupper__semilattice(v) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),w)**.
% 299.97/300.60 100574[0:Res:87814.2,20047.0] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 100571[0:Res:87814.2,86811.0] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(w) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v))))*.
% 299.97/300.60 100648[0:SSi:100577.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Oupper__semilattice(u) || c_Finite__Set_Ofinite(v,w) -> c_Finite__Set_Ofinite(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(c_Set_Oimage(x,w,y),v)),tc_fun(y,tc_bool)),y)*.
% 299.97/300.60 100682[0:Res:100520.1,352.0] || equal(c_False,u) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Oord__class_Oless(tc_bool),w,tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 100800[0:SpL:898.0,4436.0] || equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),v,w,x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v))** -> equal(v,w).
% 299.97/300.60 100825[0:SpR:100666.1,22323.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 100818[0:SpR:100666.1,24254.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_HOL_Oord__class_Oless(tc_bool),u))))*.
% 299.97/300.60 101252[0:Res:100634.1,10584.0] class_Lattices_Oupper__semilattice(u) || -> c_Hoare__Mirabelle_Ohoare__derivs(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x)),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.60 101330[0:Res:101316.0,768.0] || -> equal(hAPP(c_Set_Oimage(c_COMBK(u,v,w),w,v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x))),hAPP(c_fequal(v),u))**.
% 299.97/300.60 101388[0:SSi:101372.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,tc_fun(v,tc_bool)),x)),v))* -> hBOOL(c_in(u,w,v)).
% 299.97/300.60 101415[0:SpR:101313.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),u),w)),c_False))*.
% 299.97/300.60 101575[0:SpL:613.0,101545.0] || equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x)),hAPP(c_fequal(v),w))** -> c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),x),v).
% 299.97/300.60 101937[0:Res:2648.1,101661.0] || hBOOL(hAPP(hAPP(c_fequal(u),v),hAPP(hAPP(c_fequal(t_a),v_x),v_x)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,u),w)))*.
% 299.97/300.60 101859[0:Res:428.1,101661.0] || hBOOL(hAPP(u,hAPP(hAPP(c_fequal(t_a),v_x),v_x))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u)))*.
% 299.97/300.60 101858[0:Res:429.1,101661.0] || hBOOL(hAPP(u,hAPP(hAPP(c_fequal(t_a),v_x),v_x))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w)))*.
% 299.97/300.60 101854[0:Res:1546.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_fequal(t_a),v_x),v_x),tc_fun(u,tc_bool)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))))*.
% 299.97/300.60 101806[0:SpL:149.0,101661.0] || hBOOL(hAPP(u,hAPP(v,hAPP(hAPP(c_fequal(t_a),v_x),v_x))))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_COMBB(u,v,w,x,y)))*.
% 299.97/300.60 101805[0:SpL:424.0,101661.0] || hBOOL(hAPP(u,hAPP(v,hAPP(hAPP(c_fequal(t_a),v_x),v_x))))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Fun_Ocomp(u,v,w,x,y)))*.
% 299.97/300.60 102362[0:SpL:11.1,13885.0] class_Lattices_Olattice(u) || c_Finite__Set_Ofinite(v,w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.60 102359[0:SpL:3.1,13885.0] class_Lattices_Olattice(u) || c_Finite__Set_Ofinite(v,w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.60 102258[0:SpL:367.1,13885.0] class_Lattices_Obounded__lattice(u) || c_Finite__Set_Ofinite(v,w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.60 102256[0:SpL:12280.1,13885.0] class_Complete__Lattice_Ocomplete__lattice(u) || c_Finite__Set_Ofinite(v,w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.60 102253[0:SpL:691.0,13885.0] || c_Finite__Set_Ofinite(c_COMBK(c_False,tc_bool,u),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),c_Set_Oimage(x,y,u),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.60 102243[0:SpL:19.1,13885.0] class_Lattices_Obounded__lattice(u) || c_Finite__Set_Ofinite(v,w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.60 102241[0:SpL:12562.1,13885.0] class_Complete__Lattice_Ocomplete__lattice(u) || c_Finite__Set_Ofinite(v,w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.60 102231[0:SpL:5302.1,13885.0] class_Orderings_Oorder(u) || c_Finite__Set_Ofinite(c_False,v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.60 102229[0:SpL:5169.1,13885.0] class_Orderings_Oorder(u) || c_Finite__Set_Ofinite(c_False,v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,u),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.60 102213[0:SpL:13738.1,13885.0] || c_Finite__Set_Ofinite(c_False,u) -> equal(v,c_False) c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),w,tc_fun(u,tc_bool)),u)*.
% 299.97/300.60 102212[2:SpL:50431.1,13885.0] || hBOOL(u) c_Finite__Set_Ofinite(c_False,v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.60 102200[0:SpL:50.1,13885.0] class_Lattices_Olower__semilattice(u) || c_Finite__Set_Ofinite(v,w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.60 102197[0:SpL:255.1,13885.0] class_Lattices_Oupper__semilattice(u) || c_Finite__Set_Ofinite(v,w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.60 102708[0:SpR:54831.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v_x),u)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.60 102707[0:SpR:54071.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),u)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.60 102704[0:SpR:54074.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v_x)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.60 102700[0:SpR:2160.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.60 102696[0:SpR:54075.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v_x)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.60 102695[0:SpR:9853.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.60 102694[0:SpR:8972.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.60 102693[0:SpR:9620.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.60 102692[0:SpR:8799.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.60 102688[0:SpR:1581.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_fequal(u),v),t_a)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_fequal(u),v_x),v))))*.
% 299.97/300.60 102676[0:SpR:186.1,26903.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.60 102665[0:SpR:684.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.60 102661[0:SpR:278.1,26903.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(u))))*.
% 299.97/300.60 102631[0:SpR:728.0,26903.1] || hBOOL(c_in(v_x,c_COMBC(c_fequal(u),u,u,tc_bool),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(c_fequal(u),v_x))))*.
% 299.97/300.60 102630[0:SpR:418.1,26903.1] || hBOOL(c_in(u,v_x,v)) hBOOL(c_in(v_x,c_Set_Oinsert(u,v),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x)))*.
% 299.97/300.60 102857[0:Res:24257.0,24826.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),x),hAPP(u,x),tc_bool),hAPP(u,x)))*.
% 299.97/300.60 102856[0:Res:63911.0,24826.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))))*.
% 299.97/300.60 102855[0:Res:63857.0,24826.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)),tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u))))*.
% 299.97/300.60 102831[0:Res:724.1,24826.1] class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_COMBK(c_False,tc_bool,u)) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),w))*.
% 299.97/300.60 102830[0:Res:450.2,24826.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),w))*.
% 299.97/300.60 102829[0:Res:165.2,24826.1] class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),w))*.
% 299.97/300.60 102784[0:Res:15156.0,24826.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),tc_fun(u,tc_bool)),v,tc_fun(u,tc_bool)),v))*.
% 299.97/300.60 102777[0:Res:457.2,24826.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,u)) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_Complete__Lattice_OInf__class_OInf(u),w),v,u),v))*.
% 299.97/300.60 102768[0:Res:409.0,24826.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(c_Set_Oinsert(w,u),v),tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(w,u),v)))*.
% 299.97/300.60 102869[0:Obv:102803.0] class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Finite__Set_Olinorder__class_OMin(w,u),v,u),v))*.
% 299.97/300.60 103023[0:Res:17248.0,25011.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(c_Set_Oinsert(w,u),hAPP(c_Set_Oinsert(x,u),v)),tc_fun(u,tc_bool)),v))*.
% 299.97/300.60 103004[0:Res:724.1,25011.1] class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_COMBK(c_False,tc_bool,u)) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),v))*.
% 299.97/300.60 103003[0:Res:450.2,25011.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),v))*.
% 299.97/300.60 103002[0:Res:165.2,25011.1] class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),v))*.
% 299.97/300.60 102972[0:Res:65013.0,25011.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),u,tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))))*.
% 299.97/300.60 102971[0:Res:64949.0,25011.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)),u,tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u))))*.
% 299.97/300.60 102948[0:Res:516.2,25011.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,u)) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(c_Complete__Lattice_OSup__class_OSup(u),w),u),v))*.
% 299.97/300.60 102934[0:Res:533.1,25011.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(u),v)),u),v))*.
% 299.97/300.60 103042[0:Obv:102981.0] class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Finite__Set_Olinorder__class_OMax(w,u),u),v))*.
% 299.97/300.60 103088[0:SpL:411.0,26331.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),y))),v)* -> c_Finite__Set_Ofinite(y,v).
% 299.97/300.60 103206[0:Res:102750.2,4686.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),x,u)),c_False))*.
% 299.97/300.60 103257[0:Res:102754.2,4686.0] class_Orderings_Obot(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),x,u)),c_False))*.
% 299.97/300.60 103334[0:SpL:410.0,26728.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),y))),v)* -> c_Finite__Set_Ofinite(x,v).
% 299.97/300.60 103363[0:SSi:103333.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,tc_fun(v,tc_bool)),x))),v)* -> c_Finite__Set_Ofinite(w,v).
% 299.97/300.60 103376[0:Res:102935.2,4686.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),c_SetInterval_Oord__class_OatLeastAtMost(x,c_Orderings_Otop__class_Otop(u),u)),c_False))*.
% 299.97/300.60 103394[0:Res:102939.2,4686.0] class_Orderings_Otop(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),c_SetInterval_Oord__class_OatLeastAtMost(x,c_Orderings_Otop__class_Otop(u),u)),c_False))*.
% 299.97/300.60 103489[0:Res:87848.1,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(c_Set_Oinsert(v,w),x))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),u))))*.
% 299.97/300.60 103473[0:SpR:613.0,87848.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),u)),hAPP(c_Set_Oinsert(x,w),hAPP(c_Set_Oinsert(v,w),y))))*.
% 299.97/300.60 103584[0:SpL:984.1,4436.0] class_Lattices_Obounded__lattice(u) || equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Orderings_Obot__class_Obot(u),w,x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))** -> equal(v,w).
% 299.97/300.60 103719[0:SpL:996.1,4436.0] class_Lattices_Obounded__lattice(u) || equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Orderings_Otop__class_Otop(u),w,x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))** -> equal(v,w).
% 299.97/300.60 103743[0:SpR:405.0,103531.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),y)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(hAPP(u,x),w),tc_fun(tc_Hoare__Mirabelle_Otriple(z),tc_bool)),z)*.
% 299.97/300.60 103738[0:SpR:410.0,103531.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(w,u),tc_fun(tc_Hoare__Mirabelle_Otriple(y),tc_bool)),y)*.
% 299.97/300.60 103832[0:SpL:1057.0,4436.0] || equal(c_Fun_Ofun__upd(c_Set_Oinsert(u,v),c_COMBK(c_False,tc_bool,v),w,x,y),c_Set_Oinsert(u,v))** -> equal(hAPP(c_fequal(v),u),w).
% 299.97/300.60 103839[0:Res:103776.0,4686.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_HOL_Oord__class_Oless(tc_bool),u)),c_False))*.
% 299.97/300.60 103916[0:SpR:613.0,3790.1] || hBOOL(c_in(u,hAPP(c_fequal(v),w),v)) -> hBOOL(c_in(u,hAPP(c_Set_Oinsert(x,v),hAPP(c_Set_Oinsert(w,v),y)),v))*.
% 299.97/300.60 104590[0:Res:104544.1,13885.0] class_Orderings_Oorder(u) || -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),tc_fun(u,tc_bool)),v,tc_fun(u,tc_bool)),u)*.
% 299.97/300.60 104652[0:Res:4253.2,21899.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_Set_Oinsert(v,w),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.60 104651[0:Res:4254.2,21899.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_Set_Oinsert(v,w),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.60 104650[0:Res:4255.2,21899.0] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_Set_Oinsert(v,w),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.60 105036[0:SSi:105022.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Fun_Oinj__on(u,v,w,x) -> c_Fun_Oinj__on(u,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(w,tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(w,tc_bool)),y)),w,x)*.
% 299.97/300.60 105536[0:SpL:1150.1,4436.0] || hBOOL(c_in(u,v,w)) equal(c_Fun_Ofun__upd(c_Set_Oinsert(u,w),v,x,y,z),c_Set_Oinsert(u,w))** -> equal(v,x).
% 299.97/300.60 105681[0:SpL:901.0,4436.0] || equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(u,v,w,x,y),v,z,x1,x2),c_Fun_Ofun__upd(u,v,w,x,y))** -> equal(w,z).
% 299.97/300.60 105719[2:Res:4280.1,105084.1] || c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,tc_bool,tc_bool)* hBOOL(u) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),v),w),tc_bool)*.
% 299.97/300.60 105769[0:Res:4280.1,105085.0] || c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,tc_bool,tc_bool)* -> equal(u,c_False) c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),v),w),tc_bool)*.
% 299.97/300.60 105847[0:Res:4280.1,105065.1] class_Orderings_Oorder(u) || c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,u,tc_bool)* -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),x),u)*.
% 299.97/300.60 105908[0:SSi:105885.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,tc_fun(u,tc_bool)))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))).
% 299.97/300.60 105985[0:Res:4280.1,105066.1] class_Orderings_Oorder(u) || c_Fun_Oinj__on(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,u,tc_bool)* -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),x),u)*.
% 299.97/300.60 106092[0:SpL:2160.0,73923.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.60 106087[0:SpL:9853.0,73923.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.60 106086[0:SpL:8972.0,73923.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.60 106085[0:SpL:9620.0,73923.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.60 106084[0:SpL:8799.0,73923.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.60 106080[0:SpL:1581.0,73923.1] || hBOOL(c_in(v_x,hAPP(c_fequal(u),v),t_a)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_fequal(u),v_x),v)),c_False))* -> .
% 299.97/300.60 106068[0:SpL:186.1,73923.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),c_False)) -> .
% 299.97/300.60 106057[0:SpL:684.0,73923.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.60 106053[0:SpL:278.1,73923.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),c_False)) -> .
% 299.97/300.60 106023[0:SpL:728.0,73923.1] || hBOOL(c_in(v_x,c_COMBC(c_fequal(u),u,u,tc_bool),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(u),v_x)),c_False))* -> .
% 299.97/300.60 106022[0:SpL:418.1,73923.1] || hBOOL(c_in(u,v_x,v)) hBOOL(c_in(v_x,c_Set_Oinsert(u,v),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False))* -> .
% 299.97/300.60 106321[0:SpL:106169.0,15708.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_fun(u,tc_bool),tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_fun(u,tc_bool))))* -> c_Finite__Set_Ofinite(v,tc_fun(u,tc_bool)).
% 299.97/300.60 106273[0:SpR:106169.0,5267.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)),tc_fun(tc_fun(w,tc_bool),tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_fun(w,tc_bool),tc_bool)))**.
% 299.97/300.60 106272[0:SpR:106169.0,5137.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)),tc_fun(tc_fun(w,tc_bool),tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_fun(w,tc_bool),tc_bool)))**.
% 299.97/300.60 106260[0:SpR:106169.0,1119.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_fun(u,tc_bool),tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_fun(u,tc_bool))),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_fun(u,tc_bool)))**.
% 299.97/300.60 106259[0:SpR:106169.0,1091.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(u,tc_bool))),w),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(u,tc_bool)))**.
% 299.97/300.60 106369[0:SSi:106292.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(u,c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool))) equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_fun(v,tc_bool)),tc_fun(v,tc_bool),tc_bool),c_False)**.
% 299.97/300.60 106370[0:SSi:106291.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(u,c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool))) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_fun(v,tc_bool)),tc_fun(v,tc_bool),tc_bool),c_False)**.
% 299.97/300.60 106372[0:SSi:106262.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),w,x),c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)))**.
% 299.97/300.60 106374[0:SSi:106373.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u),w,x),c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)))**.
% 299.97/300.60 106545[0:Rew:106479.0,106289.0] || -> equal(hAPP(c_Set_Oinsert(c_False,tc_bool),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),tc_fun(v,tc_bool),tc_bool),w)),hAPP(c_fequal(tc_bool),c_False))**.
% 299.97/300.60 106599[0:SSi:106592.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(u,v))* -> equal(c_COMBK(c_False,tc_bool,tc_fun(w,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,x,tc_fun(w,tc_bool)))* hBOOL(hAPP(x,v))*.
% 299.97/300.60 106600[0:SSi:106591.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(u,v))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,w,tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(x,tc_bool)))* hBOOL(hAPP(w,v))*.
% 299.97/300.60 106818[0:SpL:5228.0,9905.0] || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,x).
% 299.97/300.60 106817[0:SpL:5228.0,9671.0] || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,x).
% 299.97/300.60 106816[0:SpL:5228.0,9011.0] || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,x).
% 299.97/300.60 106815[0:SpL:5228.0,8837.0] || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,x).
% 299.97/300.60 106814[0:SpL:5228.0,4389.0] || equal(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,x).
% 299.97/300.60 106800[0:SpL:5228.0,101331.0] || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(v,u,w).
% 299.97/300.60 106788[0:SpL:5228.0,971.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)))))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,u).
% 299.97/300.60 106743[0:SpR:5228.0,1539.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),c_False))*.
% 299.97/300.60 106727[0:SpR:5228.0,677.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool))),x)**.
% 299.97/300.60 106704[0:SpR:5228.0,676.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool))),x))*.
% 299.97/300.60 107003[0:SpL:106423.0,15708.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_fun(u,tc_bool),tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(u,tc_bool))))* -> c_Finite__Set_Ofinite(v,tc_fun(u,tc_bool)).
% 299.97/300.60 106956[0:SpR:106423.0,5267.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)),tc_fun(tc_fun(w,tc_bool),tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_fun(w,tc_bool),tc_bool)))**.
% 299.97/300.60 106955[0:SpR:106423.0,5137.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)),tc_fun(tc_fun(w,tc_bool),tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_fun(w,tc_bool),tc_bool)))**.
% 299.97/300.60 106943[0:SpR:106423.0,1119.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_fun(u,tc_bool),tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(u,tc_bool))),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(u,tc_bool)))**.
% 299.97/300.60 106942[0:SpR:106423.0,1091.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(u,tc_bool))),w),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(u,tc_bool)))**.
% 299.97/300.60 107053[0:SSi:106978.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(u,c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool))) equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(v,tc_bool)),tc_fun(v,tc_bool),tc_bool),c_False)**.
% 299.97/300.60 107054[0:SSi:106977.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(u,c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool))) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(v,tc_bool)),tc_fun(v,tc_bool),tc_bool),c_False)**.
% 299.97/300.60 107056[0:SSi:106945.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),w,x),c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)))**.
% 299.97/300.60 107058[0:SSi:107057.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u),w,x),c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)))**.
% 299.97/300.60 107189[0:Rew:107125.0,106975.0] || -> equal(hAPP(c_Set_Oinsert(c_False,tc_bool),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),tc_fun(v,tc_bool),tc_bool),w)),hAPP(c_fequal(tc_bool),c_False))**.
% 299.97/300.60 107364[0:Res:87814.2,15236.2] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Obot(v) class_Orderings_Oorder(v) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(v)),v),c_Orderings_Obot__class_Obot(v))**.
% 299.97/300.60 107363[0:Res:87811.2,15236.2] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Obot(v) class_Orderings_Oorder(v) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(v)),v),c_Orderings_Obot__class_Obot(v))**.
% 299.97/300.60 107956[0:SpL:3.1,17812.2] class_Lattices_Olattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),v))* -> .
% 299.97/300.60 107954[0:SpL:2281.1,17812.2] class_Lattices_Olattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),w))* -> .
% 299.97/300.60 108115[0:SpL:3.1,17813.2] class_Lattices_Olattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),v))* -> .
% 299.97/300.60 108113[0:SpL:2281.1,17813.2] class_Lattices_Olattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),w))* -> .
% 299.97/300.60 108199[0:Res:791.0,107997.1] || equal(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,c_HOL_Oord__class_Oless(tc_bool),v,w),c_False) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_HOL_Oord__class_Oless(tc_bool),w,v,t_a)),t_a)*.
% 299.97/300.60 108198[0:Res:792.0,107997.1] || equal(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,c_HOL_Oord__class_Oless(tc_bool),v,w),c_False) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_HOL_Oord__class_Oless(tc_bool),w,v,t_a)),t_a)*.
% 299.97/300.60 108197[0:Res:793.0,107997.1] || equal(v_sko__Hoare__Mirabelle__Xescape__2(u,c_HOL_Oord__class_Oless(tc_bool),v,w),c_False) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_HOL_Oord__class_Oless(tc_bool),w,v,t_a)),t_a)*.
% 299.97/300.60 108461[0:SpL:3.1,17814.2] class_Lattices_Olattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),v))* -> .
% 299.97/300.60 108459[0:SpL:2281.1,17814.2] class_Lattices_Olattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),w))* -> .
% 299.97/300.60 109302[0:SpL:405.0,108008.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(u,v,tc_bool),hAPP(c_Set_Oinsert(w,v),x)))),hAPP(u,w)))* -> .
% 299.97/300.60 109297[0:SpL:410.0,108008.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),hAPP(c_Set_Oinsert(v,tc_bool),w)))),v))* -> .
% 299.97/300.60 109411[0:SpL:11.1,18885.2] class_Lattices_Olattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)))* -> .
% 299.97/300.60 109408[0:SpL:2367.1,18885.2] class_Lattices_Olattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)))* -> .
% 299.97/300.60 109501[0:SpL:405.0,108272.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(u,v)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(u,w,tc_bool),hAPP(c_Set_Oinsert(v,w),x)))))* -> .
% 299.97/300.60 109496[0:SpL:410.0,108272.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),v),hAPP(c_Set_Oinsert(u,tc_bool),w)))))* -> .
% 299.97/300.60 109660[0:SpL:11.1,18886.2] class_Lattices_Olattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)))* -> .
% 299.97/300.60 109657[0:SpL:2367.1,18886.2] class_Lattices_Olattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)))* -> .
% 299.97/300.60 109938[0:SpL:11.1,18887.2] class_Lattices_Olattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)))* -> .
% 299.97/300.60 109935[0:SpL:2367.1,18887.2] class_Lattices_Olattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)))* -> .
% 299.97/300.60 110174[0:SpL:79862.1,61395.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** equal(v,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))** -> .
% 299.97/300.60 110163[0:SpL:79862.1,1429.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) equal(hAPP(c_Set_Oimage(v,u,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),c_COMBK(c_False,tc_bool,w))** -> .
% 299.97/300.60 110155[2:SpL:79862.1,49179.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) equal(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),w),c_False)** -> .
% 299.97/300.60 110145[2:SpL:79862.1,49086.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) equal(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),c_False),c_False)** -> .
% 299.97/300.60 110096[0:SpR:79862.1,1539.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_COMBK(v,w,x),u,y),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),v))*.
% 299.97/300.60 110092[0:SpR:79862.1,4707.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),c_False))*.
% 299.97/300.60 110082[0:SpR:79862.1,248.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(c_in(hAPP(v,w),hAPP(c_Set_Oimage(v,u,x),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),x))*.
% 299.97/300.60 110081[0:SpR:79862.1,9800.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),u,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),c_False))*.
% 299.97/300.60 110080[0:SpR:79862.1,9516.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),u,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),c_False))*.
% 299.97/300.60 110079[0:SpR:79862.1,9004.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),u,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),c_False))*.
% 299.97/300.60 110078[0:SpR:79862.1,8830.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),u,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),c_False))*.
% 299.97/300.60 110076[0:SpR:79862.1,14945.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v,tc_bool),u,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),w))*.
% 299.97/300.60 110075[0:SpR:79862.1,14846.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v,tc_bool),u,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),w))*.
% 299.97/300.60 110064[0:SpR:79862.1,1554.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),v))*.
% 299.97/300.60 110062[0:SpR:79862.1,1928.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),v))*.
% 299.97/300.60 110060[0:SpR:79862.1,1560.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),c_False))*.
% 299.97/300.60 110058[0:SpR:79862.1,707.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.60 110055[0:SpR:79862.1,104648.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),c_Set_Oinsert(v,w),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.60 110048[0:SpR:79862.1,24608.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False)** -> equal(c_Fun_Ofun__upd(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),v,c_Orderings_Otop__class_Otop(tc_bool),w,x),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))**.
% 299.97/300.60 110047[0:SpR:79862.1,13508.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))),c_False)**.
% 299.97/300.60 110046[0:SpR:79862.1,13507.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))),c_False)**.
% 299.97/300.60 110037[0:SpR:79862.1,10476.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),v))*.
% 299.97/300.60 110031[0:SpR:79862.1,20260.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 110026[0:SpR:79862.1,1537.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u,v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),w))*.
% 299.97/300.60 110345[0:SpR:82158.1,110057.1] || equal(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_False) equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(c_in(v,c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u))*.
% 299.97/300.60 110344[0:SpR:79862.1,110057.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_False) -> hBOOL(c_in(w,c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v))*.
% 299.97/300.60 110372[0:Res:110363.1,106.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) c_Finite__Set_Ofinite(hAPP(v,w),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_False,v,u,tc_fun(x,tc_bool)),x)*.
% 299.97/300.60 110906[0:SpR:712.1,42995.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.60 110964[0:SpR:82158.1,110095.1] || equal(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_False) equal(c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),c_False) -> c_Hoare__Mirabelle_Ohoare__derivs(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),v,u)*.
% 299.97/300.60 110963[0:SpR:79862.1,110095.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) equal(c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),c_False) -> c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),w,v)*.
% 299.97/300.60 111204[0:SpL:712.1,80847.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)))* hBOOL(c_in(w,v,u)) -> .
% 299.97/300.60 111218[0:SSi:111214.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,hAPP(c_fequal(w),u),tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(w,tc_bool)))**.
% 299.97/300.60 111219[0:SSi:111213.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,hAPP(c_fequal(w),u),tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(w,tc_bool)))**.
% 299.97/300.60 111430[0:SSi:111401.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Orderings_Obot__class_Obot(u)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),tc_fun(v,tc_bool))),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.60 111432[0:SSi:111399.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),tc_fun(x,tc_bool)),x))* -> hBOOL(c_in(v,c_Orderings_Obot__class_Obot(u),x)).
% 299.97/300.60 111433[0:SSi:111398.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Obounded__lattice(u) || c_Fun_Oinj__on(v,c_Orderings_Obot__class_Obot(u),w,x) -> c_Fun_Oinj__on(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),tc_fun(w,tc_bool)),w,x)*.
% 299.97/300.60 111663[0:SSi:111629.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(u)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),tc_fun(v,tc_bool))),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.60 111665[0:SSi:111627.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),tc_fun(x,tc_bool)),x))* -> hBOOL(c_in(v,c_Orderings_Otop__class_Otop(u),x)).
% 299.97/300.60 111666[0:SSi:111626.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Obounded__lattice(u) || c_Fun_Oinj__on(v,c_Orderings_Otop__class_Otop(u),w,x) -> c_Fun_Oinj__on(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),tc_fun(w,tc_bool)),w,x)*.
% 299.97/300.60 111866[0:Res:87817.2,24826.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Olinorder(v) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v),w,v),w))*.
% 299.97/300.60 111850[0:Res:87817.2,15236.2] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Obot(v) class_Orderings_Oorder(v) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v),c_Orderings_Obot__class_Obot(v))**.
% 299.97/300.60 111833[0:Res:87817.2,20047.0] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 112120[0:Res:87818.2,24826.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Olinorder(v) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v),w,v),w))*.
% 299.97/300.60 112104[0:Res:87818.2,15236.2] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Obot(v) class_Orderings_Oorder(v) || -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v),c_Orderings_Obot__class_Obot(v))**.
% 299.97/300.60 112087[0:Res:87818.2,20047.0] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 112326[0:SpR:5136.1,941.0] class_Orderings_Oorder(u) || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),x,y),c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)))**.
% 299.97/300.60 112325[0:SpR:5266.1,941.0] class_Orderings_Oorder(u) || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),x,y),c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)))**.
% 299.97/300.60 112347[0:Res:1393.1,20374.0] class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 112338[0:Res:1393.1,88451.0] class_Lattices_Oupper__semilattice(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))*.
% 299.97/300.60 112336[0:Res:1393.1,85358.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))* -> hBOOL(v).
% 299.97/300.60 112368[0:Res:1394.1,20374.0] class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 112359[0:Res:1394.1,88451.0] class_Lattices_Olower__semilattice(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))*.
% 299.97/300.60 112357[0:Res:1394.1,85358.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))* -> hBOOL(v).
% 299.97/300.60 112466[0:SpL:2160.0,99791.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.60 112461[0:SpL:9853.0,99791.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.60 112460[0:SpL:8972.0,99791.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.60 112459[0:SpL:9620.0,99791.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.60 112458[0:SpL:8799.0,99791.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.60 112454[0:SpL:1581.0,99791.1] || hBOOL(c_in(v_x,hAPP(c_fequal(u),v),t_a)) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(hAPP(c_fequal(u),v_x),v)))* -> .
% 299.97/300.60 112442[0:SpL:186.1,99791.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_Orderings_Obot__class_Obot(u))) -> .
% 299.97/300.60 112431[0:SpL:684.0,99791.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.60 112427[0:SpL:278.1,99791.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_Orderings_Otop__class_Otop(u))) -> .
% 299.97/300.60 112394[0:SpL:728.0,99791.1] || hBOOL(c_in(v_x,c_COMBC(c_fequal(u),u,u,tc_bool),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(c_fequal(u),v_x)))* -> .
% 299.97/300.60 112393[0:SpL:418.1,99791.1] || hBOOL(c_in(u,v_x,v)) hBOOL(c_in(v_x,c_Set_Oinsert(u,v),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x))* -> .
% 299.97/300.60 112531[0:Res:1404.1,20374.0] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 112522[0:Res:1404.1,88451.0] class_Lattices_Obounded__lattice(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))*.
% 299.97/300.60 112520[0:Res:1404.1,85358.0] class_Lattices_Obounded__lattice(u) || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))* -> hBOOL(v).
% 299.97/300.60 112563[0:Res:1412.0,88451.0] || hBOOL(c_COMBK(c_False,tc_bool,u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_Set_Oimage(v,w,u),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)))))*.
% 299.97/300.60 112561[0:Res:1412.0,85358.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_Set_Oimage(u,v,w),x,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)))))* -> hBOOL(c_COMBK(c_False,tc_bool,w)).
% 299.97/300.60 112556[0:SpR:5136.1,1412.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),hAPP(c_Set_Oimage(c_Set_Oimage(w,x,u),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),z))*.
% 299.97/300.60 112555[0:SpR:5266.1,1412.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),hAPP(c_Set_Oimage(c_Set_Oimage(w,x,u),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),z))*.
% 299.97/300.60 112625[0:Res:1415.1,20374.0] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 112616[0:Res:1415.1,88451.0] class_Lattices_Obounded__lattice(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))*.
% 299.97/300.60 112614[0:Res:1415.1,85358.0] class_Lattices_Obounded__lattice(u) || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))* -> hBOOL(v).
% 299.97/300.60 112731[0:Res:1784.1,20374.0] class_Lattices_Olattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 112722[0:Res:1784.1,88451.0] class_Lattices_Olattice(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))*.
% 299.97/300.60 112720[0:Res:1784.1,85358.0] class_Lattices_Olattice(u) || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))* -> hBOOL(v).
% 299.97/300.60 112883[0:Res:1887.1,20374.0] class_Lattices_Olattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 112874[0:Res:1887.1,88451.0] class_Lattices_Olattice(u) || hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))*.
% 299.97/300.60 112872[0:Res:1887.1,85358.0] class_Lattices_Olattice(u) || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))* -> hBOOL(v).
% 299.97/300.60 1578[0:SpR:251.0,248.0] || -> hBOOL(c_in(hAPP(hAPP(u,v),w),hAPP(c_Set_Oimage(hAPP(c_COMBC(u,x,y,z),w),x1,x2),c_Orderings_Otop__class_Otop(tc_fun(x1,tc_bool))),x2))*.
% 299.97/300.60 1630[0:SpR:65.1,248.0] || -> equal(u,v) hBOOL(c_in(hAPP(w,u),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(w,v,x,y,z),x1,x2),c_Orderings_Otop__class_Otop(tc_fun(x1,tc_bool))),x2))*.
% 299.97/300.60 1629[0:SpR:65.1,35.0] || -> equal(u,v) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(w,v,x,y,z),u,hAPP(w,u),x1,x2),c_Fun_Ofun__upd(w,v,x,y,z))**.
% 299.97/300.60 2051[0:SpR:342.1,1430.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),v)))*.
% 299.97/300.60 2134[0:SpR:167.1,1430.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v)))*.
% 299.97/300.60 2247[0:SpR:343.1,1430.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),v)))*.
% 299.97/300.60 2333[0:SpR:168.1,1430.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v)))*.
% 299.97/300.60 2581[0:SpR:1597.1,1430.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_fequal(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(y,y,u),v)))*.
% 299.97/300.60 2576[0:SpR:1597.1,1430.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(hAPP(c_fequal(u),y),v)))*.
% 299.97/300.60 2611[0:SpR:2578.1,1430.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_fequal(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),y)))*.
% 299.97/300.60 2604[0:SpR:2578.1,1430.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(hAPP(c_fequal(u),v),y)))*.
% 299.97/300.60 2986[0:SpR:2594.1,1430.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(y,y,u),v)))*.
% 299.97/300.60 3147[0:Res:533.1,57.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_False)) c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(tc_fun(u,tc_bool)),v)),u)* -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.60 3238[0:Res:533.1,3223.0] || hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),c_False)) -> hBOOL(c_in(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w)),u,v))*.
% 299.97/300.60 3482[0:Res:533.1,3479.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),c_False)) c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v)),u)* -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.60 4053[0:Res:1436.0,767.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(v)),y))),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),x),v)*.
% 299.97/300.60 4228[0:SpL:3333.0,4131.0] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w)),x))* -> hBOOL(c_in(x,hAPP(c_fequal(v),u),v)) equal(x,w).
% 299.97/300.60 4358[0:SpR:714.1,361.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),x,y),w),y))*.
% 299.97/300.60 4357[0:SpR:710.1,361.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),x,y),w),y))*.
% 299.97/300.60 4326[0:SpR:367.1,361.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(c_in(x,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w,y),v),y))*.
% 299.97/300.60 4320[0:SpR:677.0,361.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(c_in(x,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_fun(u,tc_bool)),w,y),v),y))*.
% 299.97/300.60 4319[0:SpR:540.1,361.1] class_Orderings_Obot(u) || hBOOL(c_in(v_x,v,w)) -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),w,x),v),x))*.
% 299.97/300.60 4318[0:SpR:443.1,361.1] class_Orderings_Otop(u) || hBOOL(c_in(v_x,v,w)) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),w,x),v),x))*.
% 299.97/300.60 4312[0:SpR:19.1,361.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(c_in(x,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w,y),v),y))*.
% 299.97/300.60 4309[0:SpR:678.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(c_COMBK(c_False,tc_bool,x),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_fun(x,tc_bool)),w,y),v),y))*.
% 299.97/300.60 4296[0:SpR:18.1,361.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),x,y),w),y))*.
% 299.97/300.60 4295[0:SpR:366.1,361.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),x,y),w),y))*.
% 299.97/300.60 4289[0:SpR:712.1,361.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),hAPP(c_Set_Oimage(c_fequal(u),x,y),w),y))*.
% 299.97/300.60 4549[0:SpR:1461.0,4377.1] || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(v,u),x,y),w),hAPP(c_fequal(u),v)))*.
% 299.97/300.60 4542[0:SpR:2160.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),w,y),v),u))*.
% 299.97/300.60 4537[0:SpR:1581.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_fequal(x),y),w,z),v),hAPP(hAPP(c_fequal(x),u),y)))*.
% 299.97/300.60 4531[0:SpR:1923.0,4377.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x),w,y),v),x))*.
% 299.97/300.60 4524[0:SpR:187.1,4377.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w,y),v),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.60 4523[0:SpR:186.1,4377.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),x,y),w),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.60 4517[0:SpR:685.0,4377.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),w,y),v),x))*.
% 299.97/300.60 4516[0:SpR:684.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,x)),w,y),v),u))*.
% 299.97/300.60 4514[0:SpR:278.1,4377.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),x,y),w),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.60 4513[0:SpR:277.1,4377.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w,y),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.60 4510[0:SpR:683.1,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),w,x),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.60 4509[0:SpR:682.1,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),w,x),v),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.60 4507[0:SpR:699.0,4377.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(x,u),w,y),v),hAPP(c_fequal(u),x)))*.
% 299.97/300.60 4502[0:SpR:2659.0,4377.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(x,u),w,y),v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))*.
% 299.97/300.60 4500[0:SpR:357.1,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),w,x),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.60 4499[0:SpR:441.1,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),w,x),v),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.60 4486[0:SpR:728.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_COMBC(c_fequal(x),x,x,tc_bool),w,y),v),hAPP(c_fequal(x),u)))*.
% 299.97/300.60 4485[0:SpR:418.1,4377.1] || hBOOL(c_in(u,v,w)) hBOOL(c_in(v,x,y)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(u,w),y,z),x),v))*.
% 299.97/300.60 4659[0:Res:533.1,158.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_False)) hBOOL(hAPP(hAPP(c_lessequals(u),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(u),v))),v))* -> .
% 299.97/300.60 4716[0:Res:533.1,82.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_False)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(u),v))),v))* -> .
% 299.97/300.60 4869[0:Res:4707.0,4686.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)))),c_False))*.
% 299.97/300.60 4856[0:Res:4377.1,4686.0] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_Set_Oimage(z,w,x1),v)),c_False))*.
% 299.97/300.60 4816[0:SpL:1523.1,4686.0] class_Orderings_Oorder(u) || hBOOL(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),c_Set_Oinsert(v,u)),c_False))*.
% 299.97/300.60 4798[0:SpL:2160.0,4686.0] || hBOOL(u)* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)))),c_False))*.
% 299.97/300.60 4786[0:SpL:1119.0,4686.0] || hBOOL(c_COMBK(c_False,tc_bool,u)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x)),c_False))*.
% 299.97/300.60 4778[0:SpL:280.0,4686.0] || hBOOL(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x)),c_False))*.
% 299.97/300.60 4772[0:SpL:684.0,4686.0] || hBOOL(u)* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,x))),c_False))*.
% 299.97/300.60 4742[0:SpL:728.0,4686.0] || hBOOL(hAPP(c_fequal(u),v))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),c_COMBC(c_fequal(u),u,u,tc_bool)),c_False))*.
% 299.97/300.60 4741[0:SpL:418.1,4686.0] || hBOOL(c_in(u,v,w))* hBOOL(v) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),c_Set_Oinsert(u,w)),c_False))*.
% 299.97/300.60 4903[0:Res:4838.0,4686.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_lessequals(tc_bool),y))),c_False))*.
% 299.97/300.60 4905[0:Res:533.1,155.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_False)) hBOOL(hAPP(hAPP(c_lessequals(u),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(u),v))),v))* -> .
% 299.97/300.60 4908[0:Res:4818.0,4686.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_fequal(y),z))),c_False))*.
% 299.97/300.60 5043[0:Res:533.1,80.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_False)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(u),v))),v))* -> .
% 299.97/300.60 5054[0:Res:533.1,79.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_False)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(u),v))),v))* -> .
% 299.97/300.60 5100[0:Res:156.1,496.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || hBOOL(hAPP(v,w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),x),v))* hBOOL(hAPP(x,w))*.
% 299.97/300.60 5099[0:Res:518.1,496.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || hBOOL(hAPP(v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),x),v))* hBOOL(hAPP(x,w))*.
% 299.97/300.60 5124[0:Res:733.1,531.0] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(u),v)),u),c_COMBK(c_False,tc_bool,u))** hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_False)).
% 299.97/300.60 5219[0:Res:724.1,531.0] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_lessequals(u),v)),u),c_COMBK(c_False,tc_bool,u))** hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)).
% 299.97/300.60 5254[0:Res:734.1,531.0] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(u),v)),u),c_COMBK(c_False,tc_bool,u))** hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_False)).
% 299.97/300.60 5385[0:Res:724.1,451.1] class_Orderings_Oorder(u) class_Lattices_Oupper__semilattice(u) || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_COMBK(c_False,tc_bool,u)) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w)**.
% 299.97/300.60 5455[0:Res:724.1,449.1] class_Orderings_Oorder(u) class_Lattices_Oupper__semilattice(u) || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_COMBK(c_False,tc_bool,u)) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),w)**.
% 299.97/300.60 5552[0:Res:724.1,166.1] class_Orderings_Oorder(u) class_Lattices_Olower__semilattice(u) || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_COMBK(c_False,tc_bool,u)) equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),v)**.
% 299.97/300.60 5569[0:Rew:167.1,5534.2] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(u),v))),v)**.
% 299.97/300.60 5699[0:Res:724.1,164.1] class_Orderings_Oorder(u) class_Lattices_Olower__semilattice(u) || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_COMBK(c_False,tc_bool,u)) equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v)**.
% 299.97/300.60 5767[0:Res:457.2,451.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,u)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),w)),v),v)**.
% 299.97/300.60 5766[0:Res:457.2,449.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,u)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(c_Complete__Lattice_OInf__class_OInf(u),w)),v)**.
% 299.97/300.60 5839[0:Res:516.2,166.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,u)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(c_Complete__Lattice_OSup__class_OSup(u),w)),v),v)**.
% 299.97/300.60 5838[0:Res:516.2,164.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,u)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(c_Complete__Lattice_OSup__class_OSup(u),w)),v)**.
% 299.97/300.60 5899[0:Res:450.2,166.1] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w)** -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),v)**.
% 299.97/300.60 5898[0:Res:450.2,164.1] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w)** -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v).
% 299.97/300.60 5951[0:Res:165.2,451.1] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w)**.
% 299.97/300.60 5950[0:Res:165.2,449.1] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v)** -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),w)**.
% 299.97/300.60 5941[0:Res:165.2,531.0] class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_lessequals(u),v))),v)** -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)).
% 299.97/300.60 6026[0:Res:156.1,325.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)))* hBOOL(c_in(w,v,u)).
% 299.97/300.60 6203[0:SpL:613.0,196.0] || c_Fun_Oinj__on(u,hAPP(c_Set_Oinsert(v,w),hAPP(c_Set_Oinsert(x,w),y)),w,z)* -> c_Fun_Oinj__on(u,hAPP(c_Set_Oinsert(v,w),y),w,z).
% 299.97/300.60 6201[0:SpL:613.0,767.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oinsert(v,tc_Hoare__Mirabelle_Otriple(w)),hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(w)),y)),w)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(w)),x),w).
% 299.97/300.60 6199[0:SpL:613.0,325.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),hAPP(c_Set_Oinsert(w,u),x))),y))* -> hBOOL(c_in(w,y,u)).
% 299.97/300.60 6178[0:SpR:611.0,613.0] || -> equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),hAPP(c_Set_Oinsert(u,v),x))),hAPP(c_Set_Oinsert(w,v),hAPP(c_Set_Oinsert(u,v),x)))**.
% 299.97/300.60 6156[0:SpR:613.0,248.0] || -> hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x)),hAPP(c_Set_Oimage(c_Set_Oinsert(w,v),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),z))*.
% 299.97/300.60 6133[0:SpR:613.0,404.1] || hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),x),w)) -> hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),hAPP(c_Set_Oinsert(y,w),x)),w))*.
% 299.97/300.60 6279[0:SpR:5360.2,248.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.60 6424[0:SpR:5538.2,248.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.60 6614[0:SpR:5792.2,248.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.60 6746[0:SpR:5860.2,248.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.60 7035[0:SpR:5371.2,248.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.60 7145[0:SpR:5441.2,35.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),v,c_Orderings_Otop__class_Otop(u),w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)))**.
% 299.97/300.60 7217[0:SpR:5527.2,248.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.60 7310[0:SpR:5674.2,35.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),v,c_Orderings_Obot__class_Obot(u),w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)))**.
% 299.97/300.60 7379[0:SpR:5789.2,35.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),v,c_Orderings_Obot__class_Obot(u),w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)))**.
% 299.97/300.60 7551[0:SpR:5861.2,35.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),v,c_Orderings_Otop__class_Otop(u),w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)))**.
% 299.97/300.60 7695[0:SpR:5145.1,1430.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),y))*.
% 299.97/300.60 7791[0:SpR:5136.1,747.0] class_Orderings_Oorder(u) || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_COMBK(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),tc_fun(u,tc_bool),x),x,tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u))**.
% 299.97/300.60 7790[0:SpR:5266.1,747.0] class_Orderings_Oorder(u) || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_COMBK(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),tc_fun(u,tc_bool),x),x,tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u))**.
% 299.97/300.60 7892[0:SpR:5276.1,1430.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),y))*.
% 299.97/300.60 8041[0:SSi:8025.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(w,tc_bool))) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),u),v)**.
% 299.97/300.60 8042[0:SSi:8018.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(w,tc_bool))) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(w,tc_bool)),v)),u)**.
% 299.97/300.60 8262[0:SSi:8246.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(w,tc_bool))) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u),v),v)**.
% 299.97/300.60 8263[0:SSi:8239.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(w,tc_bool))) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(w,tc_bool)),v)),u),u)**.
% 299.97/300.60 8434[0:Res:8390.0,4686.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Set_Oinsert(y,w),z))),c_False))*.
% 299.97/300.60 8451[0:SpR:5136.1,744.0] class_Orderings_Oorder(u) || -> equal(c_Product__Type_OSigma(v,c_COMBK(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),tc_fun(u,tc_bool),x),x,u),c_COMBK(c_False,tc_bool,tc_prod(x,u)))**.
% 299.97/300.60 8450[0:SpR:5266.1,744.0] class_Orderings_Oorder(u) || -> equal(c_Product__Type_OSigma(v,c_COMBK(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),tc_fun(u,tc_bool),x),x,u),c_COMBK(c_False,tc_bool,tc_prod(x,u)))**.
% 299.97/300.60 9563[0:SpR:712.1,770.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_Set_Oinsert(v,u),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))),hAPP(c_Set_Oinsert(v,u),w))**.
% 299.97/300.60 9534[0:SpR:770.0,1506.1] || hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_fequal(w),x)),w))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(x,w),v),u)).
% 299.97/300.60 9790[0:Res:8.2,3478.0] class_Ring__and__Field_Oordered__idom(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w))* equal(v,w) c_Hoare__Mirabelle_Ohoare__derivs(v,w,u).
% 299.97/300.60 10807[0:SpR:5136.1,771.1] class_Orderings_Oorder(u) || -> equal(v,c_COMBK(c_False,tc_bool,u)) equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),u,tc_bool),v),hAPP(c_fequal(tc_bool),c_False))**.
% 299.97/300.60 10806[0:SpR:5266.1,771.1] class_Orderings_Oorder(u) || -> equal(v,c_COMBK(c_False,tc_bool,u)) equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),u,tc_bool),v),hAPP(c_fequal(tc_bool),c_False))**.
% 299.97/300.60 11212[0:Res:156.1,755.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v))*.
% 299.97/300.60 11211[0:Res:518.1,755.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)) -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v))*.
% 299.97/300.60 11278[0:Res:156.2,752.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u)) -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v))*.
% 299.97/300.60 11339[0:Res:156.2,751.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),c_COMBK(c_False,tc_bool,u)) -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v))*.
% 299.97/300.60 11735[0:SpR:8814.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(c_in(x,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_fun(tc_bool,tc_bool)),w,y),v),y))*.
% 299.97/300.60 11878[0:SpR:8987.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(c_in(x,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_fun(tc_bool,tc_bool)),w,y),v),y))*.
% 299.97/300.60 12097[0:SpR:9635.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(c_in(x,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_fun(tc_bool,tc_bool)),w,y),v),y))*.
% 299.97/300.60 12138[0:SpR:9868.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(c_in(x,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_fun(tc_bool,tc_bool)),w,y),v),y))*.
% 299.97/300.60 12225[0:SpR:276.1,232.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OSup__class_OSup(u),v)),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(w,u),v))))*.
% 299.97/300.60 12224[0:SpR:276.1,229.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OSup__class_OSup(u),v)),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(w,u),v))))*.
% 299.97/300.60 12293[0:SSi:12250.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(u,tc_bool)),w)),u)* -> c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),w),u).
% 299.97/300.60 12302[0:SSi:12214.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),u)*.
% 299.97/300.60 12346[0:SpR:12280.1,361.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(c_in(x,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w,y),v),y))*.
% 299.97/300.60 12497[0:SpR:125.1,41.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),w))),hAPP(c_Complete__Lattice_OInf__class_OInf(u),w)))*.
% 299.97/300.60 12496[0:SpR:125.1,37.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),w))),hAPP(c_Complete__Lattice_OInf__class_OInf(u),w)))*.
% 299.97/300.60 12576[0:SSi:12510.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),v),u) -> c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(w,tc_fun(u,tc_bool)),v)),u)*.
% 299.97/300.60 12580[0:SSi:12507.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),hAPP(c_Set_Oinsert(w,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v)),u)*.
% 299.97/300.60 13352[0:SSi:13329.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* equal(w,v).
% 299.97/300.60 13725[0:SpR:13374.1,747.0] || -> equal(u,c_False) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_COMBK(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool),w),w,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))**.
% 299.97/300.60 13724[0:SpR:13374.1,744.0] || -> equal(u,c_False) equal(c_Product__Type_OSigma(v,c_COMBK(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool),w),w,tc_bool),c_COMBK(c_False,tc_bool,tc_prod(w,tc_bool)))**.
% 299.97/300.60 13866[0:SpR:13730.1,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> equal(u,c_False) hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.60 13921[0:Res:8798.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,c_False),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)),u,x,tc_fun(v,tc_bool)),v)*.
% 299.97/300.60 13920[0:Res:4252.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,c_False),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w)),u,x,tc_fun(v,tc_bool)),v)*.
% 299.97/300.60 13910[0:Res:6010.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,v),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oinsert(x,y),hAPP(c_Set_Oinsert(v,y),z)),u,y,tc_fun(w,tc_bool)),w)*.
% 299.97/300.60 14145[0:SpR:13526.1,361.1] || hBOOL(u) hBOOL(c_in(c_COMBK(u,v,w),x,y))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),y,z),x),z))*.
% 299.97/300.60 14422[0:SpR:12562.1,361.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(c_in(x,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w,y),v),y))*.
% 299.97/300.60 14833[0:SSi:14822.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),v) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* equal(v,w).
% 299.97/300.60 15045[0:SpL:1088.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),v)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u)),v))*.
% 299.97/300.60 15024[0:SpL:988.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),c_False))*.
% 299.97/300.60 15000[0:SpL:657.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_COMBK(v,x,y),u)),w))*.
% 299.97/300.60 14984[0:SpL:9728.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),v)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool),u)),v))*.
% 299.97/300.60 14983[0:SpL:9002.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),v)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool),u)),v))*.
% 299.97/300.60 14982[0:SpL:9428.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),v)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool),u)),v))*.
% 299.97/300.60 14981[0:SpL:8828.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),v)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool),u)),v))*.
% 299.97/300.60 15187[0:SpR:12721.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),c_False)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_False))*.
% 299.97/300.60 15210[0:SpR:12758.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_False))*.
% 299.97/300.60 15285[0:Obv:15272.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(w,v,u),c_COMBK(c_False,tc_bool,u)) equal(w,v).
% 299.97/300.60 15344[0:SpR:13539.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_bool),c_False)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_False))*.
% 299.97/300.60 15396[0:Res:8971.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,c_False),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)),u,x,tc_fun(v,tc_bool)),v)*.
% 299.97/300.60 15458[0:SpR:12263.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(c_False,tc_bool),u),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)))*.
% 299.97/300.60 15622[0:SpR:13516.1,4377.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_False))*.
% 299.97/300.60 15711[0:SSi:15693.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oimage(w,x,u),y)),v)** c_Finite__Set_Ofinite(y,x) -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.60 15726[0:SpR:13552.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),x,y),w),c_False))*.
% 299.97/300.60 15806[0:Res:323.2,12715.0] || hBOOL(c_in(c_False,u,tc_bool)) -> hBOOL(c_in(c_False,v,tc_bool)) equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),v)),c_False)**.
% 299.97/300.60 15811[0:SpR:13736.1,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> equal(u,c_False) hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 15963[0:SpR:1916.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),x,u)),v))*.
% 299.97/300.60 15962[0:SpR:1118.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_False,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),w,u)),c_False))*.
% 299.97/300.60 15960[0:SpR:1088.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,u)),c_False))*.
% 299.97/300.60 15939[0:SpR:988.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_False,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),w,u)),x))*.
% 299.97/300.60 15915[0:SpR:657.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_COMBK(y,z,x1),x,u)),y))*.
% 299.97/300.60 15908[0:SpR:956.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),x,u)),v))*.
% 299.97/300.60 15899[0:SpR:9728.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool),x,u)),c_False))*.
% 299.97/300.60 15898[0:SpR:9002.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool),x,u)),c_False))*.
% 299.97/300.60 15897[0:SpR:9428.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool),x,u)),c_False))*.
% 299.97/300.60 15896[0:SpR:8828.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool),x,u)),c_False))*.
% 299.97/300.60 16118[0:SpR:15551.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),u))*.
% 299.97/300.60 16226[0:SpR:1916.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),x,u)))*.
% 299.97/300.60 16225[0:SpR:1118.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_False,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),w,u)))*.
% 299.97/300.60 16223[0:SpR:1088.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,u)))*.
% 299.97/300.60 16202[0:SpR:988.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_False,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),x),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),w,u)))*.
% 299.97/300.60 16178[0:SpR:657.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_COMBK(y,z,x1),x,u)))*.
% 299.97/300.60 16171[0:SpR:956.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),x,u)))*.
% 299.97/300.60 16162[0:SpR:9728.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool),x,u)))*.
% 299.97/300.60 16161[0:SpR:9002.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool),x,u)))*.
% 299.97/300.60 16160[0:SpR:9428.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool),x,u)))*.
% 299.97/300.60 16159[0:SpR:8828.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool),x,u)))*.
% 299.97/300.60 16441[0:SpL:8799.0,4686.0] || hBOOL(u)* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool))),c_False))*.
% 299.97/300.60 16376[0:SpR:8799.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool)),w,y),v),u))*.
% 299.97/300.60 16524[0:SpL:759.0,8163.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),w) -> c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),u)*.
% 299.97/300.60 16496[0:SpR:759.0,3816.1] || hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x),w))* -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),x),u))*.
% 299.97/300.60 16554[0:SpR:8802.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),x),w,y),v),x))*.
% 299.97/300.60 16644[0:SpR:8815.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(x,tc_bool),w,y),v),hAPP(c_fequal(tc_bool),x)))*.
% 299.97/300.60 16775[0:Res:26.1,444.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),v))* -> equal(v,w).
% 299.97/300.60 16878[0:SpL:8972.0,4686.0] || hBOOL(u)* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool))),c_False))*.
% 299.97/300.60 16808[0:SpR:8972.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool)),w,y),v),u))*.
% 299.97/300.60 16909[0:SpR:8975.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),x),w,y),v),x))*.
% 299.97/300.60 17003[0:SpR:8988.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(x,tc_bool),w,y),v),hAPP(c_fequal(tc_bool),x)))*.
% 299.97/300.60 17120[0:Res:412.1,325.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),x))* -> hBOOL(c_in(v,hAPP(c_Set_Oinsert(y,u),x),u))*.
% 299.97/300.60 17119[0:Res:412.1,496.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* hBOOL(hAPP(v,x))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(y,u),w),x))*.
% 299.97/300.60 17165[0:Res:9619.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,c_False),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)),u,x,tc_fun(v,tc_bool)),v)*.
% 299.97/300.60 17212[0:Res:9852.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,c_False),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)),u,x,tc_fun(v,tc_bool)),v)*.
% 299.97/300.60 17261[0:Res:26.1,413.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),x)).
% 299.97/300.60 17274[0:SSi:17259.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(y,x),w,tc_fun(x,tc_bool))))*.
% 299.97/300.60 17309[0:SpR:13518.1,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_False))*.
% 299.97/300.60 17328[0:SpR:13522.1,4377.1] class_Orderings_Obot(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_False))*.
% 299.97/300.60 17427[0:SSi:17399.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w)) -> c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),v),u)*.
% 299.97/300.60 17580[0:SSi:17553.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w)) -> c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),x),u)*.
% 299.97/300.60 17754[0:SpL:9620.0,4686.0] || hBOOL(u)* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool))),c_False))*.
% 299.97/300.60 17683[0:SpR:9620.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool)),w,y),v),u))*.
% 299.97/300.60 17849[0:SSi:17806.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),w),x)).
% 299.97/300.60 17851[0:SSi:17835.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w)) -> c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),v),u)*.
% 299.97/300.60 17863[0:SpR:9623.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),x),w,y),v),x))*.
% 299.97/300.60 17958[0:SpR:9636.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(x,tc_bool),w,y),v),hAPP(c_fequal(tc_bool),x)))*.
% 299.97/300.60 18108[0:SpL:9853.0,4686.0] || hBOOL(u)* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool))),c_False))*.
% 299.97/300.60 18034[0:SpR:9853.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool)),w,y),v),u))*.
% 299.97/300.60 18201[0:SSi:18189.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w)) -> c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),x),u)*.
% 299.97/300.60 18213[0:SpR:9856.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),x),w,y),v),x))*.
% 299.97/300.60 18311[0:SpR:9869.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(x,tc_bool),w,y),v),hAPP(c_fequal(tc_bool),x)))*.
% 299.97/300.60 18492[0:SSi:18457.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w)) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),x),v,u)*.
% 299.97/300.60 18699[0:SSi:18671.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w)) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),w),v,u)*.
% 299.97/300.60 18762[0:SpR:12282.1,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w,y),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.60 18912[0:SSi:18855.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(x,u),w)))*.
% 299.97/300.60 18914[0:SSi:18899.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w)) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),w),v,u)*.
% 299.97/300.60 18928[0:SpR:12564.1,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w,y),v),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.60 19125[0:SSi:19113.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w)) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),x),v,u)*.
% 299.97/300.60 19648[0:SpR:19460.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(x,tc_bool),w,u)))*.
% 299.97/300.60 19647[0:SpR:19460.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_HOL_Ominus__class_Ominus(x,tc_bool),w,u)),c_False))*.
% 299.97/300.60 20235[0:Res:733.1,20047.0] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_Orderings_Otop__class_Otop(tc_bool),u),c_COMBK(c_False,tc_bool,u)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),v)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 20234[0:Res:734.1,20047.0] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_Orderings_Otop__class_Otop(tc_bool),u),c_COMBK(c_False,tc_bool,u)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),v)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 20218[0:Res:724.1,20047.0] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(tc_bool),u),c_COMBK(c_False,tc_bool,u)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 20216[0:Res:165.2,20047.0] class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Orderings_Otop__class_Otop(tc_bool)),v)** -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.60 20215[0:Res:26.1,20047.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),c_Orderings_Otop__class_Otop(tc_bool)))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),v)),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.60 20200[0:Res:457.2,20047.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),v,u)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),v))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 20138[0:SpL:341.0,20047.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),v))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v)),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.60 20120[0:SpL:757.0,20047.0] || hBOOL(hAPP(c_Set_Oinsert(u,v),c_Orderings_Otop__class_Otop(tc_bool))) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_fequal(v),u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 20100[0:SpL:3059.1,20047.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oinsert(v,u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 20366[0:SpR:20174.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),u),v),w,x))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y),w),y))*.
% 299.97/300.60 20434[0:SpR:20156.0,4377.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 20449[0:SpR:20245.0,4377.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 20464[0:SpR:20134.1,4377.1] || hBOOL(u) hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 20481[0:SpR:20106.1,4377.1] || hBOOL(u) hBOOL(c_in(c_COMBK(u,v,w),x,y))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),y,z),x),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 20849[0:SpR:14872.0,435.1] || hBOOL(c_in(c_False,u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_HOL_Ominus__class_Ominus(x,tc_bool),v,tc_fun(w,tc_bool))),x))*.
% 299.97/300.60 20672[0:SpR:14632.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_HOL_Ominus__class_Ominus(u,tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 299.97/300.60 20671[0:SpR:14531.0,435.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_HOL_Ominus__class_Ominus(c_False,tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 299.97/300.60 21037[0:SSi:21023.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),v)),c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)))** -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.60 21260[0:SpR:14872.0,265.1] || hBOOL(c_in(c_False,u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),x),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_HOL_Ominus__class_Ominus(x,tc_bool),v,tc_fun(w,tc_bool))))*.
% 299.97/300.60 21082[0:SpR:14632.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(u,tc_bool),w,tc_fun(x,tc_bool))))*.
% 299.97/300.60 21081[0:SpR:14531.0,265.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(c_False,tc_bool),w,tc_fun(x,tc_bool))))*.
% 299.97/300.60 21457[0:SpL:2651.0,430.0] || hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),x),w))* -> hBOOL(c_in(u,x,w)) hBOOL(c_in(u,hAPP(c_fequal(w),v),w)).
% 299.97/300.60 22016[0:Res:13271.0,352.0] || hBOOL(c_in(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),v,tc_fun(y,tc_bool)),c_False))*.
% 299.97/300.60 22015[0:Res:10493.0,352.0] || hBOOL(c_in(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),v,tc_fun(y,tc_bool)),c_False))*.
% 299.97/300.60 22000[0:Res:16121.0,352.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,x),w,tc_fun(y,tc_bool)),z))*.
% 299.97/300.60 21930[0:Res:3226.0,352.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,x),w,tc_fun(y,tc_bool)),c_False))*.
% 299.97/300.60 21909[0:Res:409.0,352.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_fun(x,tc_bool)),w,tc_fun(y,tc_bool)),hAPP(c_Set_Oinsert(z,x),u)))*.
% 299.97/300.60 21898[0:Res:618.1,352.0] || hBOOL(hAPP(u,v))* hBOOL(c_in(u,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oinsert(y,z),x,tc_fun(x1,tc_bool)),v))*.
% 299.97/300.60 21793[0:SpL:50.1,352.0] class_Lattices_Olower__semilattice(u) || hBOOL(v) hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Olower__semilattice__class_Oinf(u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.60 21792[0:SpL:1919.1,352.0] class_Lattices_Olattice(u) || hBOOL(v) hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Olower__semilattice__class_Oinf(u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.60 21791[0:SpL:12821.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Olower__semilattice__class_Oinf(u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.60 21790[0:SpL:255.1,352.0] class_Lattices_Oupper__semilattice(u) || hBOOL(v) hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.60 21789[0:SpL:1918.1,352.0] class_Lattices_Olattice(u) || hBOOL(v) hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.60 21788[0:SpL:12701.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.60 21786[0:SpL:14872.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(c_False,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Ominus__class_Ominus(u,tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.60 21600[0:SpL:14632.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Ominus__class_Ominus(v,tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.60 21599[0:SpL:14531.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Ominus__class_Ominus(c_False,tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.60 22348[0:SpR:405.0,6015.0] || -> hBOOL(c_in(hAPP(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Set_Oimage(u,y,w),hAPP(c_Set_Oinsert(v,y),z))),w))*.
% 299.97/300.60 22342[0:SpR:405.0,2648.1] || hBOOL(hAPP(hAPP(c_fequal(u),hAPP(v,w)),x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(v,y,u),hAPP(c_Set_Oinsert(w,y),z)),x))*.
% 299.97/300.60 22335[0:SpR:405.0,618.1] || hBOOL(hAPP(hAPP(c_Set_Oimage(u,v,w),x),y)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(z,v),x)),y))*.
% 299.97/300.60 22332[0:SpR:405.0,2650.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),hAPP(v,w))),hAPP(c_Set_Oimage(v,x,u),hAPP(c_Set_Oinsert(w,x),y))))*.
% 299.97/300.60 22326[0:SpR:405.0,20526.0] || -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),y)),tc_fun(w,tc_bool)),hAPP(c_Set_Oimage(u,v,w),y)),w)*.
% 299.97/300.60 22315[0:SpR:405.0,409.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(v,w,u),x)),hAPP(c_Set_Oimage(v,w,u),hAPP(c_Set_Oinsert(y,w),x))))*.
% 299.97/300.60 23058[0:SpL:20242.0,461.0] || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),u),u)**.
% 299.97/300.60 23057[0:SpL:20206.0,461.0] || equal(hAPP(c_lessequals(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_lessequals(tc_bool),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),u),u)**.
% 299.97/300.60 23056[0:SpL:20243.0,461.0] || equal(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(u,c_HOL_Oord__class_Oless(tc_bool),v,w)* -> equal(hAPP(hAPP(u,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_False),c_False)**.
% 299.97/300.60 22983[0:SpL:14632.0,461.0] || equal(hAPP(u,v),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(w,u,x,y)* -> equal(hAPP(hAPP(w,c_HOL_Ominus__class_Ominus(hAPP(u,v),tc_bool)),v),v)**.
% 299.97/300.60 22805[0:SpL:12624.0,461.0] || equal(hAPP(u,v),v) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),x,y)* -> equal(hAPP(hAPP(w,u),v),v)**.
% 299.97/300.60 22760[0:SpL:19460.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_HOL_Ominus__class_Ominus(w,tc_bool),x,y)* -> equal(hAPP(hAPP(v,u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 23122[0:Obv:22964.1] || hBOOL(c_in(u,hAPP(v,w),x))* c_Record_Oiso__tuple__update__accessor__cong__assist(y,v,z,x1)* -> equal(hAPP(hAPP(y,c_Set_Oinsert(u,x)),w),w)**.
% 299.97/300.60 23123[0:Obv:22959.2] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),z),z)**.
% 299.97/300.60 23124[0:Obv:22958.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),z),z)**.
% 299.97/300.60 23125[0:Obv:22956.2] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),z),z)**.
% 299.97/300.60 23126[0:Obv:22955.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),z),z)**.
% 299.97/300.60 23282[0:SpL:472.0,719.0] || equal(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oimage(x,y,v),z)),c_COMBK(c_False,tc_bool,w))** -> equal(z,c_COMBK(c_False,tc_bool,y)).
% 299.97/300.60 23395[0:SpR:46.0,472.0] || -> equal(hAPP(c_Set_Oimage(c_Fun_Ocomp(u,v,w,x,y),y,x),z),hAPP(c_Set_Oimage(c_COMBB(u,v,w,x,y),y,x),z))**.
% 299.97/300.60 24121[0:Obv:24115.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x,y)* -> equal(hAPP(hAPP(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w)),z),z)**.
% 299.97/300.60 24621[0:SpL:24543.0,461.0] || equal(hAPP(u,v),c_Orderings_Otop__class_Otop(tc_bool))** c_Record_Oiso__tuple__update__accessor__cong__assist(w,u,x,y)* -> equal(hAPP(hAPP(w,c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool))),v),v)**.
% 299.97/300.60 24863[0:SpR:803.2,20174.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Otop__class_Otop(tc_bool))) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Otop__class_Otop(tc_bool),u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 24853[0:SpR:803.2,6010.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(c_in(w,hAPP(c_Set_Oinsert(x,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),u))*.
% 299.97/300.60 25049[0:SpR:802.2,20174.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),v,u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.60 25038[0:SpR:802.2,6010.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(c_in(v,hAPP(c_Set_Oinsert(x,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),u))*.
% 299.97/300.60 25258[0:Res:10592.1,767.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oinsert(v,tc_Hoare__Mirabelle_Otriple(w)),x),w)* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(y,tc_Hoare__Mirabelle_Otriple(w)),u),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(w)),v),w)*.
% 299.97/300.60 25477[0:Res:13377.0,4686.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False))),c_False))*.
% 299.97/300.60 25788[0:Rew:2651.0,25776.0] || equal(hAPP(c_Set_Oinsert(u,v),w),hAPP(c_fequal(v),u))** -> equal(w,hAPP(c_fequal(v),u)) equal(w,c_COMBK(c_False,tc_bool,v)).
% 299.97/300.60 26198[0:Res:26073.0,352.0] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w,tc_fun(x,tc_bool)),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),y),v_x)))*.
% 299.97/300.60 26180[0:SpR:803.2,26073.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),u),v_x)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,v_x,t_a),v_x)))*.
% 299.97/300.60 26179[0:SpR:802.2,26073.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),v_x),u)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,u,t_a),v_x)))*.
% 299.97/300.60 26481[0:Res:26200.0,352.0] || hBOOL(c_in(hAPP(hAPP(c_Set_Oinsert(v_x,t_a),u),v_x),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.60 26455[0:SpR:803.2,26200.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),u),v_x)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,v_x,t_a),v_x)),v))*.
% 299.97/300.60 26454[0:SpR:802.2,26200.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),v_x),u)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,u,t_a),v_x)),v))*.
% 299.97/300.60 26636[0:SpR:410.0,6015.0] || -> hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),hAPP(c_Set_Oinsert(u,v),y))),v))*.
% 299.97/300.60 26629[0:SpR:410.0,2648.1] || hBOOL(hAPP(hAPP(c_fequal(u),v),w)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),hAPP(c_Set_Oinsert(v,u),y)),w))*.
% 299.97/300.60 26618[0:SpR:410.0,2650.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),hAPP(c_Set_Oinsert(v,u),x))))*.
% 299.97/300.60 27229[0:Res:425.2,57.0] class_Orderings_Oorder(u) || c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),u)* -> hBOOL(hAPP(hAPP(c_lessequals(u),x),y))* c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastAtMost(x,y,u),u)*.
% 299.97/300.60 27264[0:Res:13033.0,4686.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y))),c_False))*.
% 299.97/300.60 27301[0:SpR:613.0,13604.1] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,tc_bool),v),c_False)) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(w,tc_bool),v))),c_False)**.
% 299.97/300.60 27950[0:Res:9619.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(c_in(c_False,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool)),x))*.
% 299.97/300.60 27949[0:Res:9852.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(c_in(c_False,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool)),x))*.
% 299.97/300.60 27948[0:Res:8971.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(c_in(c_False,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool)),x))*.
% 299.97/300.60 27945[0:Res:8798.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(c_in(c_False,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool)),x))*.
% 299.97/300.60 27944[0:Res:4252.0,331.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(c_in(c_False,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_fun(u,tc_bool)),w,tc_fun(x,tc_bool)),x))*.
% 299.97/300.60 27934[0:Res:6010.0,331.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y))* -> hBOOL(c_in(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Set_Oinsert(z,v),y,tc_fun(v,tc_bool)),v))*.
% 299.97/300.60 28287[0:SpR:28266.1,361.1] || equal(c_False,u) hBOOL(c_in(v,w,x))* -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x,y),w),y))*.
% 299.97/300.60 28734[0:SpR:28267.1,361.1] || equal(c_False,u) hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),w,y),v),y))*.
% 299.97/300.60 28822[0:SpR:28268.1,361.1] || equal(c_False,u) hBOOL(c_in(u,v,w))* -> hBOOL(c_in(x,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),w,y),v),y))*.
% 299.97/300.60 28951[0:SpR:28269.1,361.1] || equal(c_False,u) hBOOL(c_in(v,w,x)) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,y),w),y))*.
% 299.97/300.60 29521[0:SpR:29202.1,361.1] || equal(c_False,u) hBOOL(c_in(v,w,x))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(y,u,tc_bool),x,z),w),z))*.
% 299.97/300.60 30425[0:SpR:29751.1,361.1] || equal(c_False,u) hBOOL(c_in(v,w,x))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(y,u,tc_bool),x,z),w),z))*.
% 299.97/300.60 30537[0:SpR:29192.1,4377.1] || equal(c_False,u) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y),w),c_False))*.
% 299.97/300.60 30693[0:Rew:243.0,30674.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),x))))*.
% 299.97/300.60 30673[0:Res:237.0,483.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),v))))*.
% 299.97/300.60 30710[0:SpR:29740.1,4377.1] || equal(c_False,u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y),w),c_False))*.
% 299.97/300.60 35257[0:SpR:405.0,28358.1] || equal(hAPP(u,v),c_False) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(u,w,tc_bool),hAPP(c_Set_Oinsert(v,w),x))),hAPP(u,v))**.
% 299.97/300.60 35277[0:SpR:35239.1,4377.1] || equal(c_False,u) hBOOL(c_in(hAPP(c_fequal(tc_bool),u),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),u))*.
% 299.97/300.60 35305[0:SpR:35267.1,4377.1] || equal(c_False,u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),u))*.
% 299.97/300.60 36541[0:SSi:36368.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(u,v)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),y),u)),v))*.
% 299.97/300.60 36918[0:SSi:36883.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),x)),y))* -> hBOOL(hAPP(x,y)).
% 299.97/300.60 37430[0:SpR:8976.0,26165.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)))*.
% 299.97/300.60 37429[0:SpR:8803.0,26165.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)))*.
% 299.97/300.60 37426[0:SpR:251.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_COMBC(u,v,w,x),y),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),z),hAPP(hAPP(u,v_x),y)))*.
% 299.97/300.60 37376[0:SpR:65.1,26165.1] || hBOOL(c_in(v_x,c_Fun_Ofun__upd(u,v,w,x,y),t_a))* -> equal(v_x,v) hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),z),hAPP(u,v_x)))*.
% 299.97/300.60 37353[0:SpR:708.0,26165.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),c_COMBK(c_False,tc_bool,u)))*.
% 299.97/300.60 37346[0:SpR:5538.2,26165.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.60 37345[0:SpR:5860.2,26165.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.60 37343[0:SpR:5360.2,26165.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.60 37342[0:SpR:5792.2,26165.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.60 38142[0:SSi:37863.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(u,v)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u),y)),v))*.
% 299.97/300.60 38668[0:SSi:38604.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),x)),y))* -> hBOOL(hAPP(w,y)).
% 299.97/300.60 39997[0:SSi:39996.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w)).
% 299.97/300.60 39999[0:SSi:39998.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w)).
% 299.97/300.60 40001[0:SSi:40000.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w)).
% 299.97/300.60 40003[0:SSi:40002.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w)).
% 299.97/300.60 40722[0:SSi:40677.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(v_x,hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),v)),tc_bool))* hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)) -> hBOOL(v_x).
% 299.97/300.60 40823[0:SSi:40813.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(v_x,hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),v)),tc_bool))* hBOOL(v_x) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)).
% 299.97/300.60 41976[0:MRR:41975.0,1055.0] || c_Fun_Oinj__on(c_COMBK(u,v,w),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),w,v)* -> equal(x,c_COMBK(c_False,tc_bool,w)) hBOOL(c_in(y,x,w))*.
% 299.97/300.60 42638[0:SpR:8976.0,26440.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v))*.
% 299.97/300.60 42637[0:SpR:8803.0,26440.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v))*.
% 299.97/300.60 42634[0:SpR:251.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_COMBC(u,v,w,x),y),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(u,v_x),y)),z))*.
% 299.97/300.60 42583[0:SpR:65.1,26440.1] || hBOOL(c_in(v_x,c_Fun_Ofun__upd(u,v,w,x,y),t_a))* -> equal(v_x,v) hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(u,v_x)),z))*.
% 299.97/300.60 42560[0:SpR:708.0,26440.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_COMBK(c_False,tc_bool,u)),v))*.
% 299.97/300.60 42553[0:SpR:5538.2,26440.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.60 42552[0:SpR:5860.2,26440.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.60 42550[0:SpR:5360.2,26440.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.60 42549[0:SpR:5792.2,26440.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.60 43091[0:SpR:795.0,1367.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(v)),w)),v)*.
% 299.97/300.60 44574[0:SpL:456.0,183.0] || c_Fun_Oinj__on(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(v,w),x),y,w,tc_fun(z,tc_bool)),z,x1)* -> c_Fun_Oinj__on(u,hAPP(y,v),z,x1).
% 299.97/300.60 44557[0:SpL:456.0,23.0] || c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(u,v),w),x,v,tc_fun(y,tc_bool)),y)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,x,v,tc_fun(y,tc_bool)),y).
% 299.97/300.60 44199[0:SpR:456.0,475.1] || hBOOL(c_in(u,hAPP(v,w),x)) -> hBOOL(c_in(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(w,y),z),v,y,tc_fun(x,tc_bool)),x))*.
% 299.97/300.60 44607[0:SpR:44156.1,4377.1] || equal(c_False,u) hBOOL(c_in(hAPP(c_lessequals(tc_bool),u),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_False))*.
% 299.97/300.60 44700[0:SSi:44674.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(u,v),c_False)** hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool)),w))*.
% 299.97/300.60 44701[0:SSi:44673.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(u,v),c_False)** hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool)),w))*.
% 299.97/300.60 44702[0:SSi:44672.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(u,v),c_False)** hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),w),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),w),v))*.
% 299.97/300.60 44703[0:SSi:44671.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(u,v),c_False)** hBOOL(hAPP(hAPP(c_lessequals(tc_bool),w),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),w),v))*.
% 299.97/300.60 46255[0:SSi:46219.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w),u)** hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v)).
% 299.97/300.60 46256[0:SSi:46217.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w),v)** hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v))*.
% 299.97/300.60 46426[0:Rew:46283.1,46385.1] || hBOOL(v_x) -> equal(u,c_SetInterval_Oord__class_OatLeastAtMost(v_x,c_False,tc_bool)) equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(v_x,c_False,tc_bool),tc_bool,tc_bool),u),hAPP(c_fequal(tc_bool),c_False))**.
% 299.97/300.60 46554[0:Rew:13708.1,46501.3] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* -> equal(w,c_False) equal(c_SetInterval_Oord__class_OatLeastAtMost(w,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool))*.
% 299.97/300.60 46555[0:Rew:5149.1,46491.3] class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> equal(c_SetInterval_Oord__class_OatLeastLessThan(x,x,u),c_SetInterval_Oord__class_OatLeastLessThan(w,v,u))*.
% 299.97/300.60 46556[0:Rew:5280.1,46490.3] class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u),c_SetInterval_Oord__class_OatLeastLessThan(w,v,u))*.
% 299.97/300.60 47682[0:Obv:47681.2] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,v,w))* c_Fun_Oinj__on(c_HOL_Ominus__class_Ominus(c_False,tc_bool),v,w,y)* -> equal(u,x)*.
% 299.97/300.60 50414[2:SpR:47834.1,747.0] || hBOOL(u) -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_COMBK(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool),w),w,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))**.
% 299.97/300.60 50413[2:SpR:47834.1,744.0] || hBOOL(u) -> equal(c_Product__Type_OSigma(v,c_COMBK(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool),w),w,tc_bool),c_COMBK(c_False,tc_bool,tc_prod(w,tc_bool)))**.
% 299.97/300.60 50723[2:SpR:50419.1,361.1] || hBOOL(u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.60 50817[2:SpL:418.1,49055.1] || hBOOL(c_in(u,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_Set_Oinsert(u,v)),v))* hBOOL(hAPP(c_Set_Oinsert(u,v),c_False)) equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_Set_Oinsert(u,v)),c_False) -> .
% 299.97/300.60 52682[2:Rew:50396.1,52437.3] class_Orderings_Olinorder(tc_bool) || hBOOL(u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(w,v,tc_bool))*.
% 299.97/300.60 53098[2:Res:323.2,49352.0] || hBOOL(c_in(u,v,w)) equal(hAPP(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x),u),c_False)** -> hBOOL(c_in(u,x,w)).
% 299.97/300.60 53286[2:SpL:613.0,53092.0] || hBOOL(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x)))* equal(hAPP(c_Set_Oinsert(w,v),hAPP(c_Set_Oinsert(u,v),x)),c_False) -> .
% 299.97/300.60 54860[0:Rew:54857.2,54343.3] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),v)),w),w)**.
% 299.97/300.60 54863[0:Rew:54858.2,54109.3] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),v)),w),w)**.
% 299.97/300.60 55344[0:SSi:55343.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)),x)),v)**.
% 299.97/300.60 55354[0:SSi:55353.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),x))),v)**.
% 299.97/300.60 55502[2:SpR:50425.1,4377.1] || hBOOL(u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 56401[0:SpR:515.0,1384.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oimage(u,v,tc_Hoare__Mirabelle_Otriple(w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),y)),hAPP(c_Set_Oimage(u,v,tc_Hoare__Mirabelle_Otriple(w)),y),w)*.
% 299.97/300.60 56400[0:SpR:515.0,1383.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oimage(u,v,tc_Hoare__Mirabelle_Otriple(w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),y)),hAPP(c_Set_Oimage(u,v,tc_Hoare__Mirabelle_Otriple(w)),x),w)*.
% 299.97/300.60 58277[0:SpR:54070.0,4377.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),x,y),w),v))*.
% 299.97/300.60 58409[0:SSi:58322.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u))**.
% 299.97/300.60 58410[0:SSi:58304.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w))**.
% 299.97/300.60 58428[0:SpR:58351.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),x,u)))*.
% 299.97/300.60 58427[0:SpR:58351.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),x,u)),v))*.
% 299.97/300.60 58756[0:SpL:54071.0,4686.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x))),c_False))*.
% 299.97/300.60 58645[0:SpR:54071.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x)),w,y),v),u))*.
% 299.97/300.60 58795[0:SSi:58794.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u))**.
% 299.97/300.60 58802[0:Obv:58773.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(v,y)),z))),y),y)**.
% 299.97/300.60 59144[0:SpL:54074.0,4686.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),u))),c_False))*.
% 299.97/300.60 59032[0:SpR:54074.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),u)),w,y),v),u))*.
% 299.97/300.60 59183[0:SSi:59182.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u))**.
% 299.97/300.60 59190[0:Obv:59161.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),hAPP(v,z)))),z),z)**.
% 299.97/300.60 59287[0:SpR:54075.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),u)),w,y),v),u))*.
% 299.97/300.60 59444[0:Obv:59423.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),y),hAPP(v,z)))),z),z)**.
% 299.97/300.60 59593[0:SpR:54440.0,4377.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),x,y),w),v))*.
% 299.97/300.60 59720[0:SSi:59638.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u))**.
% 299.97/300.60 59735[0:SpR:54831.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x)),w,y),v),u))*.
% 299.97/300.60 59895[0:SSi:59894.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u))**.
% 299.97/300.60 59902[0:Obv:59874.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(v,y)),z))),y),y)**.
% 299.97/300.60 60016[0:SpR:54836.0,4377.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x,y),w),u))*.
% 299.97/300.60 60145[0:SSi:60063.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u))**.
% 299.97/300.60 60215[0:SpR:54837.0,4377.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,y),w),u))*.
% 299.97/300.60 60351[0:SSi:60264.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u))**.
% 299.97/300.60 61550[0:SpR:61339.1,4377.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),x,y),w),c_False))*.
% 299.97/300.60 62155[2:Rew:62049.0,50443.1] || hBOOL(u) -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_bool,tc_bool),v),hAPP(c_fequal(tc_bool),c_False))**.
% 299.97/300.60 62163[0:Rew:62049.0,29824.2] || equal(c_False,u) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool)))* -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)).
% 299.97/300.60 62167[0:Rew:62049.0,29275.2] || equal(c_False,u) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool)))* -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)).
% 299.97/300.60 62168[0:Rew:62049.0,13747.1] || -> equal(u,c_False) equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_bool,tc_bool),v),hAPP(c_fequal(tc_bool),c_False))**.
% 299.97/300.60 62233[0:Rew:62049.0,58243.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool)))*.
% 299.97/300.60 63780[0:SSi:63779.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))**.
% 299.97/300.60 63782[0:SSi:63781.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))**.
% 299.97/300.60 63876[0:SpR:326.1,59016.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(x,u)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(x,w,tc_bool),v))))*.
% 299.97/300.60 63955[0:Res:63857.0,352.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_bool),w,tc_fun(x,tc_bool)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u))))*.
% 299.97/300.60 63976[0:SSi:63945.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u))),u))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)),u).
% 299.97/300.60 64006[0:Res:63911.0,352.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_bool),w,tc_fun(x,tc_bool)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))))*.
% 299.97/300.60 64025[0:SSi:64008.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),tc_bool))))*.
% 299.97/300.60 64026[0:SSi:64007.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),tc_bool))))*.
% 299.97/300.60 64027[0:SSi:63996.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),u))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),u).
% 299.97/300.60 64051[0:SpR:63990.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u,v)) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),u),w))*.
% 299.97/300.60 64287[0:Obv:64227.0] || equal(hAPP(u,v),c_Orderings_Otop__class_Otop(tc_bool))** c_Record_Oiso__tuple__update__accessor__cong__assist(w,u,x,y)* -> equal(hAPP(hAPP(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),z)),v),v)**.
% 299.97/300.60 64289[0:SSi:64288.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))**.
% 299.97/300.60 64292[0:SSi:64291.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))**.
% 299.97/300.60 64968[0:SpR:326.1,59997.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(x,w,tc_bool),v))),hAPP(x,u)))*.
% 299.97/300.60 65066[0:Res:64949.0,352.0] || hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_bool),w,tc_fun(x,tc_bool)),u))*.
% 299.97/300.60 65088[0:SSi:65056.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u))))* -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)),u).
% 299.97/300.60 65126[0:Res:65013.0,352.0] || hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_bool),w,tc_fun(x,tc_bool)),u))*.
% 299.97/300.60 65146[0:SSi:65116.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))))* -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),u).
% 299.97/300.60 65147[0:SSi:65110.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),tc_bool))),v))*.
% 299.97/300.60 65148[0:SSi:65109.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),tc_bool))),u))*.
% 299.97/300.60 67865[0:Res:716.0,829.1] || hBOOL(hAPP(hAPP(u,v_sko__Hoare__Mirabelle__Xconseq2__1(u,v)),v_sko__Hoare__Mirabelle__Xconseq2__2(u,v)))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v,c_Com_Ocom_OSKIP,u,t_a)),t_a)*.
% 299.97/300.60 68179[0:Res:716.0,828.1] || hBOOL(hAPP(hAPP(u,v_sko__Hoare__Mirabelle__Xconseq1__1(v,u)),v_sko__Hoare__Mirabelle__Xconseq1__2(v,u)))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v,c_Com_Ocom_OSKIP,u,t_a)),t_a)*.
% 299.97/300.60 69173[2:SpL:326.1,49184.0] || hBOOL(c_in(u,v,w)) equal(hAPP(hAPP(c_Set_Oinsert(x,y),hAPP(c_Set_Oimage(z,w,y),v)),hAPP(z,u)),c_False)** -> .
% 299.97/300.60 70270[2:SpL:818.1,49222.0] || hBOOL(c_in(u,v,w)) equal(c_in(x,hAPP(c_Set_Oimage(c_Fun_Ofun__upd(y,u,x,w,z),w,z),v),z),c_False)** -> .
% 299.97/300.60 73164[0:SpR:34557.1,248.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.60 73354[0:SSi:73313.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u),u)** hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v)).
% 299.97/300.60 73355[0:SSi:73311.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w),w)** hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),w))*.
% 299.97/300.60 73356[0:SSi:73243.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)))* equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),u)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u))**.
% 299.97/300.60 73413[0:SpR:34558.1,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)) hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))*.
% 299.97/300.60 73412[0:SpR:34558.1,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)) hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u))*.
% 299.97/300.60 73608[0:SSi:73563.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u),w)** hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v)).
% 299.97/300.60 73609[0:SSi:73561.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w),v)** hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),w))*.
% 299.97/300.60 73748[0:Res:73581.0,352.0] || hBOOL(c_in(c_False,u,v)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_HOL_Oord__class_Oless(tc_bool),v,tc_fun(w,tc_bool)),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),x),v_x)))*.
% 299.97/300.60 73730[0:SpR:803.2,73581.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),u),v_x)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,v_x,t_a),v_x)))*.
% 299.97/300.60 73729[0:SpR:802.2,73581.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),v_x),u)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,u,t_a),v_x)))*.
% 299.97/300.60 74894[0:SpR:8976.0,73586.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))).
% 299.97/300.60 74893[0:SpR:8803.0,73586.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))).
% 299.97/300.60 74888[0:SpR:251.0,73586.1] || hBOOL(c_in(v_x,hAPP(c_COMBC(u,v,w,x),y),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(u,v_x),y)))*.
% 299.97/300.60 74883[0:SpR:34558.1,73586.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)).
% 299.97/300.60 74827[0:SpR:65.1,73586.1] || hBOOL(c_in(v_x,c_Fun_Ofun__upd(u,v,w,x,y),t_a))* -> equal(v_x,v) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(u,v_x))).
% 299.97/300.60 74804[0:SpR:708.0,73586.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_COMBK(c_False,tc_bool,u))).
% 299.97/300.60 74795[0:SpR:5538.2,73586.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.60 74794[0:SpR:5860.2,73586.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.60 74792[0:SpR:5360.2,73586.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.60 74791[0:SpR:5792.2,73586.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.60 74925[0:SSi:74904.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(v_x,u,t_a)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,v_x)),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v)).
% 299.97/300.60 74926[0:SSi:74902.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(v_x,u,t_a)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),c_False)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),hAPP(u,v_x)))*.
% 299.97/300.60 75406[0:SpR:34559.1,248.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.60 75606[0:SSi:75563.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w),w)** hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v)).
% 299.97/300.60 75607[0:SSi:75561.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w),w)** hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v))*.
% 299.97/300.60 75614[0:Obv:75542.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),y)) equal(hAPP(hAPP(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y)),z),z)**.
% 299.97/300.60 77235[0:SSi:77197.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w))* -> equal(u,v) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),w)).
% 299.97/300.60 77236[0:SSi:77195.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False)) -> equal(v,w) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)))*.
% 299.97/300.60 77907[0:SpR:9624.0,73586.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool))).
% 299.97/300.60 77906[0:SpR:9624.0,26440.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),v))*.
% 299.97/300.60 77905[0:SpR:9624.0,26165.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)))*.
% 299.97/300.60 78278[0:SpR:9857.0,73586.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool))).
% 299.97/300.60 78277[0:SpR:9857.0,26440.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),v))*.
% 299.97/300.60 78276[0:SpR:9857.0,26165.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)))*.
% 299.97/300.60 78837[0:Res:533.1,28275.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(tc_bool),u)),c_False) -> equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(tc_bool),u)),u).
% 299.97/300.60 78915[0:SSi:78868.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(u,v,w))* equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,x,w,tc_bool),c_False) -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,x,w,tc_bool),hAPP(x,u))*.
% 299.97/300.60 79402[2:SpL:613.0,49064.0] || equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),hAPP(c_Set_Oinsert(v,u),hAPP(c_Set_Oinsert(x,u),w))),c_False)** -> .
% 299.97/300.60 79661[0:SpL:251.0,78858.0] || equal(hAPP(hAPP(u,v),w),c_False)** equal(c_False,v) -> equal(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_COMBC(u,x,y,z),w),tc_bool))*.
% 299.97/300.60 79947[0:Rew:79605.3,79604.3] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_False) equal(hAPP(c_fequal(u),v),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(u),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(u),tc_bool)).
% 299.97/300.60 79499[0:SpL:65.1,78858.0] || equal(hAPP(u,v),c_False)** equal(c_False,v) -> equal(v,w) equal(v,c_Inductive_Ocomplete__lattice__class_Olfp(c_Fun_Ofun__upd(u,w,x,y,z),tc_bool))*.
% 299.97/300.60 79948[0:Rew:79947.3,79605.3] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_False) equal(hAPP(c_fequal(u),v),c_False)** -> equal(hAPP(c_fequal(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(u),tc_bool)).
% 299.97/300.60 80373[0:Res:28211.1,79861.0] || equal(hAPP(c_lessequals(tc_bool),u),c_False) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))* equal(hAPP(c_lessequals(tc_bool),u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.60 80454[0:Rew:80024.1,80323.2] || hBOOL(hAPP(u,c_False)) equal(hAPP(c_Set_Oinsert(v,w),u),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.60 80205[0:SpL:34.0,79861.0] || hBOOL(u) equal(c_Fun_Ofun__upd(v,c_False,u,w,x),c_False)** -> equal(c_Fun_Ofun__upd(v,c_False,u,w,x),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.60 80896[0:SpR:12371.2,73586.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.60 80895[0:SpR:12371.2,26440.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.60 80894[0:SpR:12371.2,26165.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.60 80886[0:SpR:12371.2,248.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.60 81138[0:Obv:81075.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),z),z)**.
% 299.97/300.60 81210[0:SpR:14438.2,73586.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.60 81209[0:SpR:14438.2,26440.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),v))*.
% 299.97/300.60 81208[0:SpR:14438.2,26165.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),v_x))*.
% 299.97/300.60 81197[0:SpR:14438.2,248.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x))*.
% 299.97/300.60 81379[0:Obv:81340.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),z),z)**.
% 299.97/300.60 81813[0:SpR:61332.1,24254.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))))*.
% 299.97/300.60 81773[0:SpR:13719.1,24254.0] || -> equal(u,c_False) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool))),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))))*.
% 299.97/300.60 81772[2:SpR:50408.1,24254.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool))),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))))*.
% 299.97/300.60 81771[0:SpR:9857.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_fun(tc_bool,tc_bool))),x)))*.
% 299.97/300.60 81770[0:SpR:8976.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool))),x)))*.
% 299.97/300.60 81769[0:SpR:9624.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_fun(tc_bool,tc_bool))),x)))*.
% 299.97/300.60 81768[0:SpR:8803.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool))),x)))*.
% 299.97/300.60 81756[0:SpR:5292.1,24254.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool))),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u))))*.
% 299.97/300.60 81755[0:SpR:5160.1,24254.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool))),c_SetInterval_Oord__class_OatLeastLessThan(y,y,u))))*.
% 299.97/300.60 81747[0:SpR:68995.1,24254.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))))*.
% 299.97/300.60 81742[0:SpR:68028.1,24254.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_fequal(tc_bool),u))))*.
% 299.97/300.60 81741[0:SpR:20255.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w)))))*.
% 299.97/300.60 81740[0:SpR:20259.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)))))*.
% 299.97/300.60 81739[0:SpR:20258.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)))))*.
% 299.97/300.60 81738[0:SpR:20257.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)))))*.
% 299.97/300.60 81737[0:SpR:20256.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)))))*.
% 299.97/300.60 81736[0:SpR:20170.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w)))))*.
% 299.97/300.60 81735[0:SpR:20204.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)))))*.
% 299.97/300.60 81734[0:SpR:20203.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)))))*.
% 299.97/300.60 81733[0:SpR:20202.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)))))*.
% 299.97/300.60 81732[0:SpR:20201.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)))))*.
% 299.97/300.60 81728[0:SpR:20260.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))))))*.
% 299.97/300.60 81705[0:SpR:20230.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Set_Oinsert(w,x),hAPP(c_fequal(x),c_Orderings_Otop__class_Otop(tc_bool))))))*.
% 299.97/300.60 81702[0:SpR:20361.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_fequal(x),c_Orderings_Otop__class_Otop(tc_bool))))))*.
% 299.97/300.60 81688[0:SpR:1010.2,24254.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),c_Complete__Lattice_OSup__class_OSup(u)),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))))*.
% 299.97/300.60 81687[0:SpR:1009.2,24254.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),c_Complete__Lattice_OInf__class_OInf(u)),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))))*.
% 299.97/300.60 81685[0:SpR:251.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(u,v),w)),hAPP(hAPP(c_Set_Oinsert(x,y),hAPP(c_COMBC(u,z,x1,x2),w)),v)))*.
% 299.97/300.60 81676[0:SpR:58783.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),x)))))*.
% 299.97/300.60 81635[0:SpR:611.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Set_Oinsert(u,v),w)),hAPP(hAPP(c_Set_Oinsert(x,y),c_Set_Oinsert(u,v)),hAPP(c_Set_Oinsert(u,v),w))))*.
% 299.97/300.60 81541[0:SpR:5430.2,24254.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.60 81530[0:SpR:707.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(x,tc_fun(u,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))))*.
% 299.97/300.60 81526[0:SpR:5685.2,24254.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),c_Orderings_Otop__class_Otop(u))))*.
% 299.97/300.60 81523[0:SpR:65.1,24254.0] || -> equal(u,v) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(w,u)),hAPP(hAPP(c_Set_Oinsert(x,y),c_Fun_Ofun__upd(w,v,z,x1,x2)),u)))*.
% 299.97/300.60 81500[0:SpR:708.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool))),x)))*.
% 299.97/300.60 81491[0:SpR:5538.2,24254.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),v)))*.
% 299.97/300.60 81490[0:SpR:5860.2,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),v)))*.
% 299.97/300.60 81489[0:SpR:14438.2,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),v)))*.
% 299.97/300.60 81487[0:SpR:5360.2,24254.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),v)))*.
% 299.97/300.60 81486[0:SpR:5792.2,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),v)))*.
% 299.97/300.60 81485[0:SpR:12371.2,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),v)))*.
% 299.97/300.60 81463[0:SpR:613.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Set_Oinsert(u,v),w),x)),hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(y,v),w)),x)))*.
% 299.97/300.60 81880[0:SSi:81844.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Set_Oinsert(u,v),w),x)),y))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(w,x)),y)).
% 299.97/300.60 81881[0:SSi:81843.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Set_Oinsert(u,v),w),x)),y))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(w,x)),y)).
% 299.97/300.60 81882[0:SSi:81842.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(v,w))) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(x,y),v),w)))*.
% 299.97/300.60 81883[0:SSi:81841.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(v,w))) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(x,y),v),w)))*.
% 299.97/300.60 82040[0:SSi:82011.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Set_Oinsert(u,v),c_HOL_Ominus__class_Ominus(w,tc_bool)),c_False)),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),w),x)).
% 299.97/300.60 82041[0:SSi:82010.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Set_Oinsert(u,v),c_HOL_Ominus__class_Ominus(w,tc_bool)),c_False)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),w),x)).
% 299.97/300.60 82042[0:SSi:82009.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(w,x),c_HOL_Ominus__class_Ominus(v,tc_bool)),c_False)))*.
% 299.97/300.60 82043[0:SSi:82008.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(w,x),c_HOL_Ominus__class_Ominus(v,tc_bool)),c_False)))*.
% 299.97/300.60 82061[0:SpR:82006.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Set_Oinsert(u,v),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),c_False,c_Orderings_Otop__class_Otop(tc_bool),w,x),hAPP(c_Set_Oinsert(u,v),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)))**.
% 299.97/300.60 82055[0:SpR:82006.0,4377.1] || hBOOL(c_in(c_False,u,v)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Set_Oinsert(w,x),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),v,y),u),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 82384[0:SpR:82160.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_False))*.
% 299.97/300.60 82904[2:SpL:613.0,49049.1] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),w),x)) equal(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(y,v),w)),x),c_False)** -> .
% 299.97/300.60 83389[0:SpR:61332.1,22323.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83377[0:SpR:13508.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),u),x)),c_False))*.
% 299.97/300.60 83376[0:SpR:13507.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),u),x)),c_False))*.
% 299.97/300.60 83363[0:SpR:13604.1,22323.0] || hBOOL(hAPP(u,c_False)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(x,tc_bool),u),v),y)),c_False))*.
% 299.97/300.60 83348[0:SpR:13719.1,22323.0] || -> equal(u,c_False) hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),w),y)),v))*.
% 299.97/300.60 83347[2:SpR:50408.1,22323.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),w),y)),v))*.
% 299.97/300.60 83346[0:SpR:9857.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)))*.
% 299.97/300.60 83345[0:SpR:8976.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)))*.
% 299.97/300.60 83344[0:SpR:9624.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)))*.
% 299.97/300.60 83343[0:SpR:8803.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)))*.
% 299.97/300.60 83331[0:SpR:5292.1,22323.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u),w),z)),v))*.
% 299.97/300.60 83330[0:SpR:5160.1,22323.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(y,y,u),w),z)),v))*.
% 299.97/300.60 83322[0:SpR:68995.1,22323.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83317[0:SpR:68028.1,22323.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_fequal(tc_bool),u),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83316[0:SpR:20255.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w)),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83315[0:SpR:20259.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83314[0:SpR:20258.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83313[0:SpR:20257.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83312[0:SpR:20256.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83311[0:SpR:20170.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w)),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83310[0:SpR:20204.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83309[0:SpR:20203.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83308[0:SpR:20202.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83307[0:SpR:20201.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83303[0:SpR:20260.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83280[0:SpR:20230.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,x),hAPP(c_fequal(x),c_Orderings_Otop__class_Otop(tc_bool))),u),y)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83277[0:SpR:20361.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_fequal(x),c_Orderings_Otop__class_Otop(tc_bool))),u),y)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 83263[0:SpR:1010.2,22323.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(x,x,u),v),y)),x))*.
% 299.97/300.60 83262[0:SpR:1009.2,22323.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(x,x,u),v),y)),x))*.
% 299.97/300.60 83260[0:SpR:251.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_COMBC(u,v,w,x),y),z,x1),hAPP(c_Set_Oinsert(x2,z),x3)),hAPP(hAPP(u,x2),y)))*.
% 299.97/300.60 83254[0:SpR:59886.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),x)),v),y)),u))*.
% 299.97/300.60 83251[0:SpR:58783.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),x)),v),y)),u))*.
% 299.97/300.60 83210[0:SpR:611.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),w,x),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(u,v),y),w),z)),hAPP(c_Set_Oinsert(u,v),y)))*.
% 299.97/300.60 83200[0:SpR:34558.1,22323.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w,x),hAPP(c_Set_Oinsert(u,w),y)),v))*.
% 299.97/300.60 83197[0:SpR:34557.1,22323.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w,x),hAPP(c_Set_Oinsert(u,w),y)),u))*.
% 299.97/300.60 83190[0:SpR:34556.1,22323.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(x,v),y)),u))*.
% 299.97/300.60 83186[0:SpR:34559.1,22323.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(x,v),y)),x))*.
% 299.97/300.60 83116[0:SpR:5430.2,22323.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),w),y)),v))*.
% 299.97/300.60 83105[0:SpR:707.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w,x),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w),y)),c_COMBK(c_False,tc_bool,v)))*.
% 299.97/300.60 83101[0:SpR:5685.2,22323.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),w),y)),v))*.
% 299.97/300.60 83098[0:SpR:65.1,22323.0] || -> equal(u,v) hBOOL(hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(w,v,x,y,z),x1,x2),hAPP(c_Set_Oinsert(u,x1),x3)),hAPP(w,u)))*.
% 299.97/300.60 83075[0:SpR:708.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool)),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_COMBK(c_False,tc_bool,u)))*.
% 299.97/300.60 83066[0:SpR:5538.2,22323.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v,w),hAPP(c_Set_Oinsert(x,v),y)),x))*.
% 299.97/300.60 83065[0:SpR:5860.2,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v,w),hAPP(c_Set_Oinsert(x,v),y)),x))*.
% 299.97/300.60 83064[0:SpR:14438.2,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v,w),hAPP(c_Set_Oinsert(x,v),y)),x))*.
% 299.97/300.60 83062[0:SpR:5360.2,22323.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v,w),hAPP(c_Set_Oinsert(x,v),y)),x))*.
% 299.97/300.60 83061[0:SpR:5792.2,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v,w),hAPP(c_Set_Oinsert(x,v),y)),x))*.
% 299.97/300.60 83060[0:SpR:12371.2,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v,w),hAPP(c_Set_Oinsert(x,v),y)),x))*.
% 299.97/300.60 86627[0:SpR:86619.1,361.1] || hBOOL(u) hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.60 86695[0:SpR:27005.0,35.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),u),c_COMBK(c_False,tc_bool,v),x,y),c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)))**.
% 299.97/300.60 86867[0:Rew:62049.0,86821.3] class_Orderings_Olinorder(tc_bool) || c_Finite__Set_Ofinite(u,tc_bool) hBOOL(c_Finite__Set_Olinorder__class_OMin(u,tc_bool)) -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u))*.
% 299.97/300.60 86868[0:Rew:62049.0,86820.3] class_Orderings_Olinorder(tc_bool) || c_Finite__Set_Ofinite(u,tc_bool) hBOOL(c_Finite__Set_Olinorder__class_OMax(u,tc_bool)) -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u))*.
% 299.97/300.60 87408[0:Res:733.1,86811.0] class_Orderings_Oorder(u) || hBOOL(v) -> equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OatLeastLessThan(w,v,u))* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),w)))*.
% 299.97/300.60 87407[0:Res:734.1,86811.0] class_Orderings_Oorder(u) || hBOOL(v) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,v,u),c_COMBK(c_False,tc_bool,u))* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),w)))*.
% 299.97/300.60 87391[0:Res:724.1,86811.0] class_Orderings_Oorder(u) || hBOOL(v) -> equal(c_SetInterval_Oord__class_OatLeastAtMost(w,v,u),c_COMBK(c_False,tc_bool,u))* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),w)))*.
% 299.97/300.60 87390[0:Res:450.2,86811.0] class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w)** hBOOL(w) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)))*.
% 299.97/300.60 87389[0:Res:165.2,86811.0] class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v)** hBOOL(w) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)))*.
% 299.97/300.60 87388[0:Res:26.1,86811.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* hBOOL(w) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),v)))*.
% 299.97/300.60 87312[0:Res:457.2,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,u))* hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),w))))*.
% 299.97/300.60 87272[0:Res:516.2,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,u))* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(u),w))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)))*.
% 299.97/300.60 87040[0:SpL:2651.0,86811.0] || hBOOL(hAPP(c_Set_Oinsert(u,v),w))* hBOOL(hAPP(c_fequal(v),u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w)))*.
% 299.97/300.60 86991[0:SpL:341.0,86811.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w))* hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w)))*.
% 299.97/300.60 86948[0:SpL:757.0,86811.0] || hBOOL(hAPP(c_Set_Oinsert(u,v),w))* hBOOL(w) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_fequal(v),u))))*.
% 299.97/300.60 87727[0:Obv:87226.1] || hBOOL(c_in(u,v,w))* hBOOL(hAPP(c_Set_Oimage(x,w,y),v))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oinsert(hAPP(x,u),y)))*.
% 299.97/300.60 87823[0:MRR:15031.2,87746.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u)),v)),x))*.
% 299.97/300.60 87824[0:MRR:15030.2,87746.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u)),v)),x))*.
% 299.97/300.60 87849[0:MRR:15082.2,87746.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))*.
% 299.97/300.60 87850[0:MRR:15081.2,87746.1] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))*.
% 299.97/300.60 87851[0:MRR:15079.2,87746.1] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)))*.
% 299.97/300.60 87852[0:MRR:15078.2,87746.1] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)))*.
% 299.97/300.60 88325[0:SpL:326.1,22615.0] || hBOOL(c_in(u,v,w))* equal(hAPP(c_Set_Oimage(x,y,z),hAPP(c_Set_Oimage(x1,w,y),v)),c_COMBK(c_False,tc_bool,z))** -> .
% 299.97/300.60 88319[0:SpL:410.0,22615.0] || equal(hAPP(c_Set_Oimage(u,v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),hAPP(c_Set_Oinsert(y,v),z))),c_COMBK(c_False,tc_bool,w))** -> .
% 299.97/300.60 88519[0:Res:1441.1,10584.0] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x,v)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),y),v)*.
% 299.97/300.60 88590[0:SpL:22632.0,4686.0] || hBOOL(hAPP(c_fequal(u),hAPP(v,w)))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),c_Set_Oimage(v,z,u)),c_False))*.
% 299.97/300.60 89074[0:Res:22324.0,768.0] || -> equal(hAPP(c_Set_Oimage(c_COMBK(u,v,w),w,v),hAPP(c_Set_Oimage(x,y,w),hAPP(c_Set_Oinsert(z,y),x1))),hAPP(c_fequal(v),u))**.
% 299.97/300.60 89068[0:SpR:9870.0,22324.0] || -> hBOOL(c_in(c_COMBK(c_False,tc_bool,u),hAPP(c_Set_Oimage(c_Set_Oimage(v,tc_bool,u),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool),w),z)),x))*.
% 299.97/300.60 89067[0:SpR:8989.0,22324.0] || -> hBOOL(c_in(c_COMBK(c_False,tc_bool,u),hAPP(c_Set_Oimage(c_Set_Oimage(v,tc_bool,u),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool),w),z)),x))*.
% 299.97/300.60 89066[0:SpR:9637.0,22324.0] || -> hBOOL(c_in(c_COMBK(c_False,tc_bool,u),hAPP(c_Set_Oimage(c_Set_Oimage(v,tc_bool,u),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool),w),z)),x))*.
% 299.97/300.60 89065[0:SpR:8816.0,22324.0] || -> hBOOL(c_in(c_COMBK(c_False,tc_bool,u),hAPP(c_Set_Oimage(c_Set_Oimage(v,tc_bool,u),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool),w),z)),x))*.
% 299.97/300.60 89038[0:SpR:13523.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w)),u),x)),v))*.
% 299.97/300.60 89037[0:SpR:17217.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)),u),x)),v))*.
% 299.97/300.60 89036[0:SpR:15401.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)),u),x)),v))*.
% 299.97/300.60 89035[0:SpR:17170.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)),u),x)),v))*.
% 299.97/300.60 89034[0:SpR:13524.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)),u),x)),v))*.
% 299.97/300.60 89024[0:SpR:28358.1,22324.0] || equal(c_False,u) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(u,tc_bool),x),v),y)),w))*.
% 299.97/300.60 89021[0:SpR:12724.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_Set_Oinsert(c_False,tc_bool),x)),u),y)),v))*.
% 299.97/300.60 89020[0:SpR:13633.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),u),x)),v))*.
% 299.97/300.60 89016[0:SpR:12684.0,22324.0] || -> hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u),v),x)),w))*.
% 299.97/300.60 89014[0:SpR:29198.1,22324.0] || equal(c_False,u) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,u,tc_bool),v),y)),w))*.
% 299.97/300.60 89010[0:SpR:29746.1,22324.0] || equal(c_False,u) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,u,tc_bool),v),y)),w))*.
% 299.97/300.60 88978[0:SpR:20177.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_Finite__Set_Ofold1Set(w,hAPP(c_fequal(x),c_Orderings_Otop__class_Otop(tc_bool)),x),u),y)),v))*.
% 299.97/300.60 88970[0:SpR:61326.1,22324.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v),x)),w))*.
% 299.97/300.60 88958[0:SpR:20252.1,22324.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v),x)),w))*.
% 299.97/300.60 88957[0:SpR:20163.1,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v),x)),w))*.
% 299.97/300.60 88956[0:SpR:20167.1,22324.0] class_Orderings_Obot(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v),x)),w))*.
% 299.97/300.60 88954[0:SpR:20253.1,22324.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v),x)),w))*.
% 299.97/300.60 88953[0:SpR:20249.1,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),w))*.
% 299.97/300.60 88952[0:SpR:20250.1,22324.0] class_Lattices_Olattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),w))*.
% 299.97/300.60 88951[0:SpR:20251.1,22324.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),w))*.
% 299.97/300.60 88950[0:SpR:20246.1,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),w))*.
% 299.97/300.60 88949[0:SpR:20247.1,22324.0] class_Lattices_Olattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),w))*.
% 299.97/300.60 88948[0:SpR:20248.1,22324.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),w))*.
% 299.97/300.60 88946[0:SpR:20157.1,22324.0] class_Orderings_Olinorder(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),w))*.
% 299.97/300.60 88945[0:SpR:20158.1,22324.0] class_Lattices_Olattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),w))*.
% 299.97/300.60 88944[0:SpR:20159.1,22324.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),w))*.
% 299.97/300.60 88943[0:SpR:20160.1,22324.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),w))*.
% 299.97/300.60 88942[0:SpR:20161.1,22324.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),w))*.
% 299.97/300.60 88941[0:SpR:20162.1,22324.0] class_Orderings_Opreorder(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),w))*.
% 299.97/300.60 88938[0:SpR:20209.1,22324.0] || -> equal(c_Orderings_Otop__class_Otop(tc_bool),u) hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v),x)),w))*.
% 299.97/300.60 88930[0:SpR:20303.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),u),y)),v))*.
% 299.97/300.60 88928[0:SpR:20345.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x)),u),y)),v))*.
% 299.97/300.60 88927[0:SpR:20330.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_lessequals(tc_bool),x)),u),y)),v))*.
% 299.97/300.60 88926[0:SpR:20287.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)),u),x)),v))*.
% 299.97/300.60 88911[0:SpR:149.0,22324.0] || -> hBOOL(c_in(hAPP(u,hAPP(v,w)),hAPP(c_Set_Oimage(c_COMBB(u,v,x,y,z),x1,x2),hAPP(c_Set_Oinsert(w,x1),x3)),x2))*.
% 299.97/300.60 88910[0:SpR:424.0,22324.0] || -> hBOOL(c_in(hAPP(u,hAPP(v,w)),hAPP(c_Set_Oimage(c_Fun_Ocomp(u,v,x,y,z),x1,x2),hAPP(c_Set_Oinsert(w,x1),x3)),x2))*.
% 299.97/300.60 88907[0:SpR:65131.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),v),x)),w))*.
% 299.97/300.60 88905[0:SpR:65071.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)),v),x)),w))*.
% 299.97/300.60 88904[0:SpR:64010.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),v),x)),w))*.
% 299.97/300.60 88902[0:SpR:63959.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)),v),x)),w))*.
% 299.97/300.60 88859[0:SpR:2678.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),u),w,x),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(y,v),u),w),z)),x))*.
% 299.97/300.60 88851[0:SpR:59170.1,22324.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w,x),hAPP(c_Set_Oinsert(u,w),y)),x))*.
% 299.97/300.60 88837[0:SpR:58781.1,22324.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.60 88764[0:SpR:691.0,22324.0] || -> hBOOL(c_in(c_COMBK(c_False,tc_bool,u),hAPP(c_Set_Oimage(c_Set_Oimage(v,w,u),x,y),hAPP(c_Set_Oinsert(c_COMBK(c_False,tc_bool,w),x),z)),y))*.
% 299.97/300.60 88697[0:SpR:405.0,22324.0] || -> hBOOL(c_in(hAPP(u,hAPP(v,w)),hAPP(c_Set_Oimage(u,x,y),hAPP(c_Set_Oimage(v,z,x),hAPP(c_Set_Oinsert(w,z),x1))),y))*.
% 299.97/300.60 88692[0:SpR:410.0,22324.0] || -> hBOOL(c_in(hAPP(u,v),hAPP(c_Set_Oimage(u,w,x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),y),hAPP(c_Set_Oinsert(v,w),z))),x))*.
% 299.97/300.60 89139[0:SpR:87864.1,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),w))*.
% 299.97/300.60 89400[0:Rew:62049.0,89330.3] class_Orderings_Olinorder(tc_bool) || c_Finite__Set_Ofinite(u,tc_bool) hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u))* -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) hBOOL(c_Finite__Set_Olinorder__class_OMin(u,tc_bool)).
% 299.97/300.60 89401[0:Rew:62049.0,89329.3] class_Orderings_Olinorder(tc_bool) || c_Finite__Set_Ofinite(u,tc_bool) hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u))* -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) hBOOL(c_Finite__Set_Olinorder__class_OMax(u,tc_bool)).
% 299.97/300.60 89981[0:SpL:759.0,18905.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)))* -> .
% 299.97/300.60 90198[2:SpL:326.1,88486.1] || hBOOL(c_in(u,v,w))* hBOOL(hAPP(x,u))* equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(x,w,y),v)),c_False)** -> .
% 299.97/300.60 90764[0:SpR:90717.0,4377.1] || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.60 91342[0:Res:740.2,88451.0] class_Orderings_Olinorder(u) || c_Finite__Set_Ofinite(v,u) hBOOL(c_Finite__Set_Olinorder__class_OMin(v,u))* -> equal(v,c_COMBK(c_False,tc_bool,u))* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v))*.
% 299.97/300.60 91341[0:Res:741.2,88451.0] class_Orderings_Olinorder(u) || c_Finite__Set_Ofinite(v,u) hBOOL(c_Finite__Set_Olinorder__class_OMax(v,u))* -> equal(v,c_COMBK(c_False,tc_bool,u))* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v))*.
% 299.97/300.60 91399[0:SpL:770.0,89691.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool)),hAPP(c_fequal(u),v))))* -> .
% 299.97/300.60 92218[0:SpL:613.0,84466.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),w))))* -> hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),w))).
% 299.97/300.60 92269[0:SpR:613.0,84656.1] || hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(w,tc_bool),v))))*.
% 299.97/300.60 92479[0:SpR:9857.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_fun(tc_bool,tc_bool))),v_x)),c_False)**.
% 299.97/300.60 92478[0:SpR:8976.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool))),v_x)),c_False)**.
% 299.97/300.60 92477[0:SpR:9624.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_fun(tc_bool,tc_bool))),v_x)),c_False)**.
% 299.97/300.60 92476[0:SpR:8803.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool))),v_x)),c_False)**.
% 299.97/300.60 92471[0:SpR:251.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(u,v_x),v),tc_bool),hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_COMBC(u,x,y,z),v)),v_x)),c_False)**.
% 299.97/300.60 92466[0:SpR:34558.1,86793.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)) equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)),v_x)),c_False)**.
% 299.97/300.60 92463[0:SpR:34557.1,86793.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)) equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v)),v_x)),c_False)**.
% 299.97/300.60 92410[0:SpR:65.1,86793.0] || -> equal(v_x,u) equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(v,v_x),tc_bool),hAPP(hAPP(c_Set_Oinsert(w,t_a),c_Fun_Ofun__upd(v,u,x,y,z)),v_x)),c_False)**.
% 299.97/300.60 92387[0:SpR:708.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool))),v_x)),c_False)**.
% 299.97/300.60 92378[0:SpR:5538.2,86793.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),v_x)),c_False)**.
% 299.97/300.60 92377[0:SpR:5860.2,86793.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),v_x)),c_False)**.
% 299.97/300.60 92376[0:SpR:14438.2,86793.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),v_x)),c_False)**.
% 299.97/300.60 92374[0:SpR:5360.2,86793.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),v_x)),c_False)**.
% 299.97/300.60 92373[0:SpR:5792.2,86793.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),v_x)),c_False)**.
% 299.97/300.60 92372[0:SpR:12371.2,86793.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),v_x)),c_False)**.
% 299.97/300.60 92354[0:SpR:613.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(u,t_a),v),v_x),tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Set_Oinsert(w,t_a),v)),v_x)),c_False)**.
% 299.97/300.60 92340[0:SpR:86793.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(hAPP(u,v_x),tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Set_Oinsert(x,t_a),u),v_x),v),y)),c_False))*.
% 299.97/300.60 92886[0:SpR:9869.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(u,tc_bool),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool))),hAPP(c_fequal(tc_bool),u)))*.
% 299.97/300.60 92885[0:SpR:8988.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(u,tc_bool),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool))),hAPP(c_fequal(tc_bool),u)))*.
% 299.97/300.60 92884[0:SpR:9636.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(u,tc_bool),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool))),hAPP(c_fequal(tc_bool),u)))*.
% 299.97/300.60 92883[0:SpR:8815.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(u,tc_bool),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool))),hAPP(c_fequal(tc_bool),u)))*.
% 299.97/300.60 92874[0:SpR:13516.1,24257.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(v,tc_bool)),w),u)),c_False))*.
% 299.97/300.60 92873[0:SpR:35267.1,24257.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),u))*.
% 299.97/300.60 92867[0:SpR:35239.1,24257.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(v,tc_bool)),w),hAPP(c_fequal(tc_bool),u))),u))*.
% 299.97/300.60 92866[0:SpR:44156.1,24257.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(v,tc_bool)),w),hAPP(c_lessequals(tc_bool),u))),c_False))*.
% 299.97/300.60 92860[0:SpR:13518.1,24257.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(v,tc_bool)),w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)))),c_False))*.
% 299.97/300.60 92859[0:SpR:13522.1,24257.0] class_Orderings_Obot(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(v,tc_bool)),w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)))),c_False))*.
% 299.97/300.60 92852[0:SpR:82160.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)))),c_False))*.
% 299.97/300.60 92850[0:SpR:13552.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))))),c_False))*.
% 299.97/300.60 92849[0:SpR:12758.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)))),c_False))*.
% 299.97/300.60 92846[0:SpR:13539.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_lessequals(tc_bool),c_False)))),c_False))*.
% 299.97/300.60 92845[0:SpR:12721.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_fequal(tc_bool),c_False)))),c_False))*.
% 299.97/300.60 92749[0:SpR:15551.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OSup__class_OSup(tc_bool),tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)))),w))*.
% 299.97/300.60 92748[0:SpR:12263.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OSup__class_OSup(tc_bool),tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(c_False,tc_bool),w))),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),w)))*.
% 299.97/300.60 92747[0:SpR:29192.1,24257.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OSup__class_OSup(tc_bool),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,u,tc_bool))),c_False))*.
% 299.97/300.60 92744[0:SpR:29740.1,24257.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OSup__class_OSup(tc_bool),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OatLeastLessThan(x,u,tc_bool))),c_False))*.
% 299.97/300.60 92723[0:SpR:54837.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),tc_fun(v,tc_bool)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x))),u))*.
% 299.97/300.60 92722[0:SpR:54070.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),tc_fun(v,tc_bool)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),u))),u))*.
% 299.97/300.60 92683[0:SpR:1461.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(u,v),tc_fun(w,tc_bool)),x),hAPP(c_fequal(v),u))),hAPP(c_fequal(v),u)))*.
% 299.97/300.60 92668[0:SpR:54831.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),tc_fun(w,tc_bool)),x),u)),u))*.
% 299.97/300.60 92660[0:SpR:2160.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),tc_fun(v,tc_bool)),w),x)),x))*.
% 299.97/300.60 92655[0:SpR:54075.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),tc_fun(w,tc_bool)),x),v)),v))*.
% 299.97/300.60 92654[0:SpR:9853.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),tc_fun(v,tc_bool)),w),x)),x))*.
% 299.97/300.60 92653[0:SpR:8972.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),tc_fun(v,tc_bool)),w),x)),x))*.
% 299.97/300.60 92652[0:SpR:9620.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),tc_fun(v,tc_bool)),w),x)),x))*.
% 299.97/300.60 92651[0:SpR:8799.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),tc_fun(v,tc_bool)),w),x)),x))*.
% 299.97/300.60 92647[0:SpR:1581.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(u),v),tc_fun(w,tc_bool)),x),y)),hAPP(hAPP(c_fequal(u),y),v)))*.
% 299.97/300.60 92642[0:SpR:1923.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),tc_fun(w,tc_bool)),x),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))),v))*.
% 299.97/300.60 92631[0:SpR:187.1,24257.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_fun(w,tc_bool)),x),c_Orderings_Obot__class_Obot(u))),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.60 92629[0:SpR:12564.1,24257.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_fun(w,tc_bool)),x),c_Orderings_Obot__class_Obot(u))),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.60 92628[0:SpR:186.1,24257.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),tc_fun(v,tc_bool)),w),x)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.60 92617[0:SpR:9856.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool))),u))*.
% 299.97/300.60 92616[0:SpR:8975.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool))),u))*.
% 299.97/300.60 92615[0:SpR:9623.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool))),u))*.
% 299.97/300.60 92614[0:SpR:8802.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool))),u))*.
% 299.97/300.60 92604[0:SpR:685.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),tc_fun(w,tc_bool)),x),c_COMBK(c_False,tc_bool,u))),v))*.
% 299.97/300.60 92603[0:SpR:684.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),tc_fun(v,tc_bool)),w),x)),x))*.
% 299.97/300.60 92597[0:SpR:278.1,24257.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),tc_fun(v,tc_bool)),w),x)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.60 92594[0:SpR:277.1,24257.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_fun(w,tc_bool)),x),c_Orderings_Otop__class_Otop(u))),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.60 92592[0:SpR:12282.1,24257.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_fun(w,tc_bool)),x),c_Orderings_Otop__class_Otop(u))),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.60 92588[0:SpR:683.1,24257.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(u),tc_fun(v,tc_bool)),w),c_COMBK(c_False,tc_bool,u))),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.60 92587[0:SpR:682.1,24257.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OSup__class_OSup(u),tc_fun(v,tc_bool)),w),c_COMBK(c_False,tc_bool,u))),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.60 92585[0:SpR:699.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(u,v),tc_fun(w,tc_bool)),x),c_COMBK(c_False,tc_bool,v))),hAPP(c_fequal(v),u)))*.
% 299.97/300.60 92580[0:SpR:2659.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(u,v),tc_fun(w,tc_bool)),x),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))))*.
% 299.97/300.60 92578[0:SpR:357.1,24257.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OSup__class_OSup(u),tc_fun(v,tc_bool)),w),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.60 92577[0:SpR:441.1,24257.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(u),tc_fun(v,tc_bool)),w),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.60 92548[0:SpR:728.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_COMBC(c_fequal(u),u,u,tc_bool),tc_fun(v,tc_bool)),w),x)),hAPP(c_fequal(u),x)))*.
% 299.97/300.60 92547[0:SpR:418.1,24257.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(u,w),tc_fun(x,tc_bool)),y),v)),v))*.
% 299.97/300.60 92544[0:SpR:61339.1,24257.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(v,tc_bool)),w),x)),c_False))*.
% 299.97/300.60 93265[0:SpR:93108.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),u)),x,y),hAPP(c_Set_Oinsert(u,x),z)),y))*.
% 299.97/300.60 93980[0:SSi:93947.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),w)).
% 299.97/300.60 93981[0:SSi:93945.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),c_False)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)))*.
% 299.97/300.60 94080[0:SSi:94044.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),w)).
% 299.97/300.60 94081[0:SSi:94042.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),c_False)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u)))*.
% 299.97/300.60 94244[0:Res:87830.1,755.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u),w,u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.60 95516[0:Res:2707.1,10618.0] || hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x),tc_Hoare__Mirabelle_Otriple(v)))* -> c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),u),v).
% 299.97/300.61 95731[0:Res:2707.1,10619.0] || hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x),tc_Hoare__Mirabelle_Otriple(v)))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),u),v).
% 299.97/300.61 95928[0:SpL:13635.1,86811.0] || hBOOL(u) hBOOL(hAPP(c_fequal(v),w))* -> hBOOL(c_in(w,u,v))* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool))))*.
% 299.97/300.61 96593[0:Res:13346.0,4686.0] || -> equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v) hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v)),c_False))*.
% 299.97/300.61 96620[0:SSi:96601.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))** -> equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),u).
% 299.97/300.61 96621[0:SSi:96600.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))** -> equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),u).
% 299.97/300.61 96860[0:Res:87827.1,170.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),u)),w))*.
% 299.97/300.61 96859[0:Res:87827.1,169.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),u)),v))*.
% 299.97/300.61 96981[0:SSi:96958.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_COMBK(c_False,tc_bool,u),v,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))** -> equal(v,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.61 96982[0:SSi:96957.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(c_SetInterval_Oord__class_OatLeastLessThan(c_COMBK(c_False,tc_bool,u),v,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))** -> equal(v,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.61 97021[0:Res:87839.1,170.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),u)),w))*.
% 299.97/300.61 97020[0:Res:87839.1,169.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),u)),v))*.
% 299.97/300.61 97110[0:SpL:1523.1,11219.0] class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))** -> .
% 299.97/300.61 97134[0:SpL:613.0,94804.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),hAPP(c_Set_Oinsert(x,v),y))),v)* -> c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(w,v),y),v).
% 299.97/300.61 97524[0:SpR:9868.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool))),w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool))))*.
% 299.97/300.61 97523[0:SpR:8987.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool))),w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool))))*.
% 299.97/300.61 97522[0:SpR:9635.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool))),w),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool))))*.
% 299.97/300.61 97521[0:SpR:8814.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool))),w),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool))))*.
% 299.97/300.61 97510[0:SpR:63990.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool))))*.
% 299.97/300.61 97464[0:SpR:20174.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),x))))*.
% 299.97/300.61 97385[0:SpR:714.1,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_Complete__Lattice_OSup__class_OSup(u)),x),hAPP(c_fequal(u),v))))*.
% 299.97/300.61 97384[0:SpR:710.1,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_Complete__Lattice_OInf__class_OInf(u)),x),hAPP(c_fequal(u),v))))*.
% 299.97/300.61 97297[0:SpR:367.1,24259.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),x),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.61 97295[0:SpR:12280.1,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),x),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.61 97290[0:SpR:677.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_HOL_Ominus__class_Ominus(u,tc_fun(w,tc_bool))),x),c_COMBK(c_False,tc_bool,w))))*.
% 299.97/300.61 97289[0:SpR:540.1,24259.0] class_Orderings_Obot(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(t_a,u))),w),v_x)))*.
% 299.97/300.61 97288[0:SpR:443.1,24259.0] class_Orderings_Otop(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(t_a,u))),w),v_x)))*.
% 299.97/300.61 97282[0:SpR:19.1,24259.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),x),c_Orderings_Otop__class_Otop(u))))*.
% 299.97/300.61 97280[0:SpR:12562.1,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),x),c_Orderings_Otop__class_Otop(u))))*.
% 299.97/300.61 97274[0:SpR:678.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool))),x),w)))*.
% 299.97/300.61 97247[0:SpR:18.1,24259.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),x),v)))*.
% 299.97/300.61 97243[0:SpR:366.1,24259.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),x),v)))*.
% 299.97/300.61 97232[0:SpR:712.1,24259.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_fequal(u)),x),v)))*.
% 299.97/300.61 97192[0:SpR:456.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(u,v),w)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(v,x),y),u,x,tc_fun(z,tc_bool)),w)))*.
% 299.97/300.61 98034[0:SpR:9868.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool))),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool))))*.
% 299.97/300.61 98033[0:SpR:8987.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool))),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool))))*.
% 299.97/300.61 98032[0:SpR:9635.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool))),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool))))*.
% 299.97/300.61 98031[0:SpR:8814.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool))),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool))))*.
% 299.97/300.61 98020[0:SpR:63990.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool))))*.
% 299.97/300.61 97974[0:SpR:20174.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),x))))*.
% 299.97/300.61 97895[0:SpR:714.1,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),c_Complete__Lattice_OSup__class_OSup(u)),hAPP(c_fequal(u),v))))*.
% 299.97/300.61 97894[0:SpR:710.1,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),c_Complete__Lattice_OInf__class_OInf(u)),hAPP(c_fequal(u),v))))*.
% 299.97/300.61 97807[0:SpR:367.1,24260.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.61 97805[0:SpR:12280.1,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.61 97800[0:SpR:677.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_HOL_Ominus__class_Ominus(u,tc_fun(x,tc_bool))),c_COMBK(c_False,tc_bool,x))))*.
% 299.97/300.61 97799[0:SpR:540.1,24260.0] class_Orderings_Obot(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Orderings_Obot__class_Obot(tc_fun(t_a,u))),v_x)))*.
% 299.97/300.61 97798[0:SpR:443.1,24260.0] class_Orderings_Otop(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Orderings_Otop__class_Otop(tc_fun(t_a,u))),v_x)))*.
% 299.97/300.61 97792[0:SpR:19.1,24260.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),c_Orderings_Otop__class_Otop(u))))*.
% 299.97/300.61 97790[0:SpR:12562.1,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),c_Orderings_Otop__class_Otop(u))))*.
% 299.97/300.61 97784[0:SpR:678.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_HOL_Ominus__class_Ominus(x,tc_fun(u,tc_bool))),x)))*.
% 299.97/300.61 97757[0:SpR:18.1,24260.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),v)))*.
% 299.97/300.61 97753[0:SpR:366.1,24260.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),v)))*.
% 299.97/300.61 97742[0:SpR:712.1,24260.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),c_fequal(u)),v)))*.
% 299.97/300.61 98656[0:SpL:3333.0,12274.0] || c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(u,tc_bool)),hAPP(c_fequal(tc_fun(u,tc_bool)),w))),u)* -> c_Finite__Set_Ofinite(w,u).
% 299.97/300.61 99039[0:Res:13047.2,531.0] class_Orderings_Obot(u) class_Orderings_Olinorder(u) || -> equal(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u))),c_Orderings_Obot__class_Obot(u)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),c_False))*.
% 299.97/300.61 99598[0:Res:13297.2,531.0] class_Orderings_Obot(u) class_Orderings_Oorder(u) || -> equal(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u))),c_Orderings_Obot__class_Obot(u)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),c_False))*.
% 299.97/300.61 99899[0:SSi:99861.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),w))*.
% 299.97/300.61 99900[0:SSi:99859.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),u))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),w))*.
% 299.97/300.61 99901[0:SSi:99858.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w))*.
% 299.97/300.61 99980[0:Res:15143.2,738.1] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.61 99979[0:Res:15143.2,737.1] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.61 100145[0:Res:15144.2,738.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.61 100144[0:Res:15144.2,737.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.61 100330[0:Res:87811.2,738.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(w,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),v),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.61 100329[0:Res:87811.2,737.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),v),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.61 100381[0:Res:100350.1,10618.0] class_Lattices_Olower__semilattice(u) || -> c_Hoare__Mirabelle_Ohoare__derivs(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x),v)),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.61 100380[0:Res:100350.1,10619.0] class_Lattices_Olower__semilattice(u) || -> c_Hoare__Mirabelle_Ohoare__derivs(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),v),x)),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.61 100545[0:SSi:100498.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),w),v))*.
% 299.97/300.61 100546[0:SSi:100497.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),w),c_Orderings_Otop__class_Otop(tc_bool)))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),w))*.
% 299.97/300.61 100547[0:SSi:100464.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),w),u))*.
% 299.97/300.61 100614[0:Res:87814.2,738.1] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(w,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),v),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.61 100613[0:Res:87814.2,737.1] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),v),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.61 100821[0:SpR:100666.1,22324.0] || equal(c_False,u) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v),x)),w))*.
% 299.97/300.61 101254[0:Res:100634.1,10618.0] class_Lattices_Oupper__semilattice(u) || -> c_Hoare__Mirabelle_Ohoare__derivs(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x),v)),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.61 101253[0:Res:100634.1,10619.0] class_Lattices_Oupper__semilattice(u) || -> c_Hoare__Mirabelle_Ohoare__derivs(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),v),x)),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 299.97/300.61 101333[0:Res:101316.0,331.1] || hBOOL(c_in(hAPP(hAPP(c_fequal(t_a),v_x),v_x),u,v)) -> hBOOL(c_in(c_False,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v,tc_fun(w,tc_bool)),w))*.
% 299.97/300.61 101329[0:Res:101316.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,c_False),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),u,w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 101411[0:SpR:101313.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),u),w)),v))*.
% 299.97/300.61 101517[0:SpL:5398.0,5905.0] || equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),u) c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),v)* -> c_Finite__Set_Ofinite(u,v).
% 299.97/300.61 101572[0:SpL:770.0,101545.0] || equal(hAPP(c_Set_Oinsert(u,v),w),hAPP(c_fequal(v),u)) -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),hAPP(c_fequal(v),u)),v)*.
% 299.97/300.61 101936[0:Res:1533.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(u,v,hAPP(hAPP(c_fequal(t_a),v_x),v_x),w,x),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)))))*.
% 299.97/300.61 101929[0:Res:156.1,101661.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v))* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v))).
% 299.97/300.61 101928[0:Res:518.1,101661.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v))* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v))).
% 299.97/300.61 101917[0:Res:87830.1,101661.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),u))))*.
% 299.97/300.61 101872[0:Res:15156.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_fequal(t_a),v_x),v_x),tc_fun(u,tc_bool)),tc_fun(u,tc_bool)))))*.
% 299.97/300.61 101871[0:Res:3804.1,101661.0] || hBOOL(c_in(hAPP(hAPP(c_fequal(t_a),v_x),v_x),u,v)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w)))*.
% 299.97/300.61 101865[0:Res:2002.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))))*.
% 299.97/300.61 101864[0:Res:1528.0,101661.0] || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))))*.
% 299.97/300.61 101862[0:Res:156.2,101661.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v))* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),v))).
% 299.97/300.61 101847[0:Res:3816.1,101661.0] || hBOOL(c_in(hAPP(hAPP(c_fequal(t_a),v_x),v_x),u,v)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u)))*.
% 299.97/300.61 101843[0:Res:21881.1,101661.0] || hBOOL(c_in(hAPP(hAPP(c_fequal(t_a),v_x),v_x),u,v)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_fequal(w),v,tc_fun(x,tc_bool))))*.
% 299.97/300.61 101807[0:SpL:251.0,101661.0] || hBOOL(hAPP(hAPP(u,hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_COMBC(u,w,x,y),v)))*.
% 299.97/300.61 102491[0:SpL:27005.0,13885.0] || c_Finite__Set_Ofinite(c_COMBK(c_False,tc_bool,u),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),c_HOL_Ominus__class_Ominus(x,tc_fun(u,tc_bool)),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 102338[0:SpL:28267.1,13885.0] || equal(c_False,u) c_Finite__Set_Ofinite(u,v)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 102325[0:SpL:28269.1,13885.0] || equal(c_False,u) c_Finite__Set_Ofinite(v,w)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.61 102298[0:SpL:187.1,13885.0] class_Lattices_Obounded__lattice(u) || c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(u),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 102296[0:SpL:12564.1,13885.0] class_Complete__Lattice_Ocomplete__lattice(u) || c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(u),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 102261[0:SpL:277.1,13885.0] class_Lattices_Obounded__lattice(u) || c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(u),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 102259[0:SpL:12282.1,13885.0] class_Complete__Lattice_Ocomplete__lattice(u) || c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(u),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 102250[0:SpL:540.1,13885.0] class_Orderings_Obot(u) || c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(u),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 102249[0:SpL:443.1,13885.0] class_Orderings_Otop(u) || c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(u),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 102232[0:SpL:29202.1,13885.0] || equal(c_False,u) c_Finite__Set_Ofinite(c_False,v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,u,tc_bool),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 102230[0:SpL:29751.1,13885.0] || equal(c_False,u) c_Finite__Set_Ofinite(c_False,v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,u,tc_bool),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 102208[0:SpL:18.1,13885.0] class_Lattices_Obounded__lattice(u) || c_Finite__Set_Ofinite(v,w)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.61 102204[0:SpL:366.1,13885.0] class_Lattices_Obounded__lattice(u) || c_Finite__Set_Ofinite(v,w)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.61 102193[0:SpL:712.1,13885.0] class_Orderings_Oorder(u) || c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),c_fequal(u),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.61 102718[0:SpR:149.0,26903.1] || hBOOL(c_in(v_x,c_COMBB(u,v,w,x,y),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(u,hAPP(v,v_x)))))*.
% 299.97/300.61 102717[0:SpR:424.0,26903.1] || hBOOL(c_in(v_x,c_Fun_Ocomp(u,v,w,x,y),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(u,hAPP(v,v_x)))))*.
% 299.97/300.61 102716[0:SpR:93108.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),v_x)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.61 102772[0:Res:232.1,24826.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)))*.
% 299.97/300.61 102771[0:Res:229.1,24826.1] class_Lattices_Olattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)))*.
% 299.97/300.61 102770[0:Res:233.1,24826.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)))*.
% 299.97/300.61 102769[0:Res:228.1,24826.1] class_Lattices_Olattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)))*.
% 299.97/300.61 103035[0:Res:24260.0,25011.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(u,v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),u),v),tc_bool),hAPP(u,v)))*.
% 299.97/300.61 103034[0:Res:24259.0,25011.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(u,v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u),x),v),tc_bool),hAPP(u,v)))*.
% 299.97/300.61 103017[0:Res:87846.1,25011.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),c_False,u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)))*.
% 299.97/300.61 103010[0:Res:5274.1,25011.1] class_Orderings_Oorder(u) class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)))*.
% 299.97/300.61 103009[0:Res:5143.1,25011.1] class_Orderings_Oorder(u) class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)))*.
% 299.97/300.61 102993[0:Res:41.1,25011.1] class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),w,u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)))*.
% 299.97/300.61 102992[0:Res:37.1,25011.1] class_Lattices_Olattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),w,u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)))*.
% 299.97/300.61 102980[0:Res:87839.1,25011.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),v,u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)))*.
% 299.97/300.61 102979[0:Res:87827.1,25011.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),v,u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)))*.
% 299.97/300.61 102978[0:Res:87828.1,25011.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u),v,u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u)))*.
% 299.97/300.61 102963[0:Res:13702.1,25011.1] class_Orderings_Olinorder(tc_fun(tc_bool,tc_bool)) || -> equal(u,c_False) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)))*.
% 299.97/300.61 102962[2:Res:50386.1,25011.1] class_Orderings_Olinorder(tc_fun(tc_bool,tc_bool)) || hBOOL(u) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)))*.
% 299.97/300.61 102929[0:Res:42.1,25011.1] class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v,u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)))*.
% 299.97/300.61 102928[0:Res:36.1,25011.1] class_Lattices_Olattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v,u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)))*.
% 299.97/300.61 103311[0:SpL:456.0,26728.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(w,x),y),z,x,tc_fun(v,tc_bool))),v)* -> c_Finite__Set_Ofinite(hAPP(z,w),v).
% 299.97/300.61 103424[0:SpR:102900.1,22323.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),u),v),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 103417[0:SpR:102900.1,24254.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),u))))*.
% 299.97/300.61 103520[0:Res:87848.1,738.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Set_Oinsert(v,w),x),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.61 103519[0:Res:87848.1,737.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(c_Set_Oinsert(v,w),x),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.61 103866[0:SSi:103848.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),u))*.
% 299.97/300.61 103867[0:SSi:103846.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 103873[0:Res:35669.1,4686.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_HOL_Oord__class_Oless(tc_bool),u)),c_False))*.
% 299.97/300.61 104083[0:SpR:46.0,15681.1] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(w,x,y),hAPP(c_Set_Oimage(z,v,x),u)),tc_fun(y,tc_bool)),x1),y)*.
% 299.97/300.61 104656[0:Res:6015.0,21899.0] || -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)),c_Set_Oinsert(y,z),u,tc_fun(x1,tc_bool)),y))*.
% 299.97/300.61 104646[0:Res:5275.1,21899.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),c_Set_Oinsert(w,x),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.61 104645[0:Res:5144.1,21899.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),c_Set_Oinsert(w,x),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.61 104633[0:Res:361.1,21899.0] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oimage(x,w,y),v),c_Set_Oinsert(z,x1),y,tc_fun(x2,tc_bool)),z))*.
% 299.97/300.61 104674[0:Res:104638.0,4686.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_lessequals(tc_bool),c_False),c_Set_Oinsert(w,x),y,tc_fun(z,tc_bool))),c_False))*.
% 299.97/300.61 104681[0:Res:104668.0,4686.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_Set_Oinsert(w,x),y,tc_fun(z,tc_bool))),c_False))*.
% 299.97/300.61 104688[0:Res:104648.0,4686.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),c_Set_Oinsert(x,y),z,tc_fun(x1,tc_bool))),c_False))*.
% 299.97/300.61 105887[0:Res:412.1,15283.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v))* -> equal(hAPP(c_Set_Oinsert(w,u),v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))**.
% 299.97/300.61 106110[0:SpL:149.0,73923.1] || hBOOL(c_in(v_x,c_COMBB(u,v,w,x,y),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,hAPP(v,v_x))),c_False))* -> .
% 299.97/300.61 106109[0:SpL:424.0,73923.1] || hBOOL(c_in(v_x,c_Fun_Ocomp(u,v,w,x,y),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,hAPP(v,v_x))),c_False))* -> .
% 299.97/300.61 106108[0:SpL:93108.0,73923.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),v_x)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.61 106328[0:SpL:106169.0,11218.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),w,tc_fun(tc_fun(v,tc_bool),tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_fun(v,tc_bool),tc_bool)))** -> .
% 299.97/300.61 106797[2:SpL:5228.0,50913.0] || hBOOL(c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))* equal(c_COMBK(c_False,tc_bool,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),c_False) -> c_Hoare__Mirabelle_Ohoare__derivs(v,u,w).
% 299.97/300.61 106794[0:SpL:5228.0,5958.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x)* -> c_Hoare__Mirabelle_Ohoare__derivs(v,u,w) equal(x,c_COMBK(c_False,tc_bool,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))*.
% 299.97/300.61 106789[0:SpL:5228.0,687.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool),tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(w,x,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool))))* -> c_Hoare__Mirabelle_Ohoare__derivs(x,w,u).
% 299.97/300.61 106744[0:SpR:5228.0,1403.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.61 106740[0:SpR:5228.0,5228.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(c_SetInterval_Oord__class_OatLeastAtMost(x,y,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))* c_Hoare__Mirabelle_Ohoare__derivs(y,x,w).
% 299.97/300.61 106713[0:SpR:5228.0,685.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool)),x),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool))),x)**.
% 299.97/300.61 106710[0:SpR:5228.0,44893.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool))),tc_bool),c_False)**.
% 299.97/300.61 106708[0:SpR:5228.0,684.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool))),x),x)**.
% 299.97/300.61 106705[0:SpR:5228.0,4252.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) hBOOL(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool))),x))*.
% 299.97/300.61 106845[0:SSi:106712.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))**.
% 299.97/300.61 106847[0:SSi:106846.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool))),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(w)))**.
% 299.97/300.61 107010[0:SpL:106423.0,11218.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),w,tc_fun(tc_fun(v,tc_bool),tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_fun(v,tc_bool),tc_bool)))** -> .
% 299.97/300.61 107320[0:Res:457.2,15236.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Obot(u) class_Orderings_Oorder(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,u))* -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),v),c_Orderings_Obot__class_Obot(u)).
% 299.97/300.61 107604[0:Res:516.2,15248.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Otop(u) class_Orderings_Oorder(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,u))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),v),c_Orderings_Otop__class_Otop(u)).
% 299.97/300.61 108306[0:SSi:108268.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w)))* -> .
% 299.97/300.61 108307[0:SSi:108267.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))* -> .
% 299.97/300.61 108308[0:SSi:108266.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)))* -> .
% 299.97/300.61 108415[0:SSi:108378.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)))* -> .
% 299.97/300.61 108416[0:SSi:108377.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w)))* -> .
% 299.97/300.61 108417[0:SSi:108351.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))* -> .
% 299.97/300.61 108598[0:SSi:108560.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v))))* -> .
% 299.97/300.61 108599[0:SSi:108559.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v))))* -> .
% 299.97/300.61 108600[0:SSi:108555.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u)),v)))* -> .
% 299.97/300.61 108682[0:SSi:108644.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w))))* -> .
% 299.97/300.61 108683[0:SSi:108639.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w)),v)))* -> .
% 299.97/300.61 108684[0:SSi:108620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w))))* -> .
% 299.97/300.61 109801[0:SpR:106741.1,22323.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x,y),hAPP(c_Set_Oinsert(z,x),x1)),c_False))*.
% 299.97/300.61 110141[0:SpR:79862.1,79862.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_False) -> equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))*.
% 299.97/300.61 110140[0:SpR:79862.1,82158.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) equal(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_False) -> equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))*.
% 299.97/300.61 110097[0:SpR:79862.1,1403.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(c_COMBK(v,w,x),u,y),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),y))*.
% 299.97/300.61 110083[0:SpR:79862.1,1546.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),u,x),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),v))*.
% 299.97/300.61 110068[0:SpR:79862.1,1562.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),x))*.
% 299.97/300.61 110067[0:SpR:79862.1,1561.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),x))*.
% 299.97/300.61 110066[0:SpR:79862.1,1401.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),w))*.
% 299.97/300.61 110065[0:SpR:79862.1,1418.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),w))*.
% 299.97/300.61 110063[0:SpR:79862.1,1927.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),w))*.
% 299.97/300.61 110061[0:SpR:79862.1,1424.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),w))*.
% 299.97/300.61 110050[0:SpR:79862.1,8940.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),v,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 299.97/300.61 110049[0:SpR:79862.1,8785.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),v,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 299.97/300.61 110028[0:SpR:79862.1,280.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))**.
% 299.97/300.61 110027[0:SpR:79862.1,279.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))**.
% 299.97/300.61 110892[0:SpR:613.0,42995.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(u),v),tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(w,u),hAPP(c_Set_Oinsert(v,u),x))),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.61 111170[0:SSi:111121.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)))* -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),u),v),tc_bool)*.
% 299.97/300.61 111171[0:SSi:111120.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)))* -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),v),u),tc_bool)*.
% 299.97/300.61 111404[0:Res:87803.2,24826.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Olinorder(v) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),c_Orderings_Obot__class_Obot(u),v),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.61 111383[0:Res:87803.2,86811.0] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_Orderings_Obot__class_Obot(u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v))))*.
% 299.97/300.61 111632[0:Res:87806.2,24826.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Olinorder(v) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),c_Orderings_Otop__class_Otop(u),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.61 111611[0:Res:87806.2,86811.0] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_Orderings_Otop__class_Otop(u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v))))*.
% 299.97/300.61 111881[0:Res:87817.2,451.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Lattices_Oupper__semilattice(v) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v)),w),w)**.
% 299.97/300.61 111880[0:Res:87817.2,449.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Lattices_Oupper__semilattice(v) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v)),w)**.
% 299.97/300.61 111829[0:Res:87817.2,1141.0] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v))),c_False))*.
% 299.97/300.61 112135[0:Res:87818.2,451.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Lattices_Oupper__semilattice(v) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v)),w),w)**.
% 299.97/300.61 112134[0:Res:87818.2,449.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Lattices_Oupper__semilattice(v) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v)),w)**.
% 299.97/300.61 112083[0:Res:87818.2,1141.0] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v))),c_False))*.
% 299.97/300.61 112309[0:SpL:938.0,4436.0] || equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v),w,x,y),c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)))** -> equal(u,w).
% 299.97/300.61 112333[0:SpL:941.0,4436.0] || equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),u,w,x,y),c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)))** -> equal(c_COMBK(c_False,tc_bool,v),w).
% 299.97/300.61 112484[0:SpL:149.0,99791.1] || hBOOL(c_in(v_x,c_COMBB(u,v,w,x,y),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(u,hAPP(v,v_x))))* -> .
% 299.97/300.61 112483[0:SpL:424.0,99791.1] || hBOOL(c_in(v_x,c_Fun_Ocomp(u,v,w,x,y),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(u,hAPP(v,v_x))))* -> .
% 299.97/300.61 112482[0:SpL:93108.0,99791.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),v_x)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.61 112558[0:SpR:106169.0,1412.0] || -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_fun(v,tc_bool)),hAPP(c_Set_Oimage(c_Set_Oimage(w,x,tc_fun(v,tc_bool)),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),z))*.
% 299.97/300.61 112557[0:SpR:106423.0,1412.0] || -> hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_fun(v,tc_bool)),hAPP(c_Set_Oimage(c_Set_Oimage(w,x,tc_fun(v,tc_bool)),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),z))*.
% 299.97/300.61 112659[2:SpL:410.0,102170.0] || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(hAPP(hAPP(c_fequal(t_a),v_x),v_x),u),w))),c_False)** -> .
% 299.97/300.61 113256[0:SpL:5393.2,370.1] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) class_Lattices_Obounded__lattice(u) || equal(v,c_Orderings_Obot__class_Obot(u)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.61 113957[0:SpL:5396.2,370.1] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) class_Lattices_Obounded__lattice(u) || equal(v,c_Orderings_Obot__class_Obot(u)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.61 114404[0:SpL:5562.2,22.1] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) class_Lattices_Obounded__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(u)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.61 114867[0:SpL:5564.2,22.1] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) class_Lattices_Obounded__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(u)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.61 1043[0:SpR:684.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v,v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)))**.
% 299.97/300.61 1577[0:SpR:251.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_COMBC(u,v,w,x),y),z,hAPP(hAPP(u,z),y),x1,x2),hAPP(c_COMBC(u,v,w,x),y))**.
% 299.97/300.61 1677[0:SpR:280.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v))**.
% 299.97/300.61 1724[0:SpR:1119.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),c_COMBK(c_False,tc_bool,u),c_COMBK(c_False,tc_bool,u),w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v))**.
% 299.97/300.61 1762[0:Res:429.1,531.0] || hBOOL(hAPP(u,c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w))))* -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w),c_False)).
% 299.97/300.61 1775[0:Res:428.1,531.0] || hBOOL(hAPP(u,c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u))))* -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u),c_False)).
% 299.97/300.61 2050[0:SpR:342.1,248.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.61 2101[0:Res:533.1,1814.0] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),c_False)) -> hBOOL(hAPP(v,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w))))*.
% 299.97/300.61 2133[0:SpR:167.1,248.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.61 2169[0:SpR:2160.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v,v,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))**.
% 299.97/300.61 2246[0:SpR:343.1,248.0] class_Lattices_Olattice(u) || -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.61 2296[0:Res:533.1,2164.0] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),c_False)) -> hBOOL(hAPP(w,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w))))*.
% 299.97/300.61 2332[0:SpR:168.1,248.0] class_Lattices_Olattice(u) || -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.61 2536[0:SpR:341.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),v)))*.
% 299.97/300.61 2580[0:SpR:1597.1,248.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w),hAPP(c_Set_Oimage(hAPP(c_fequal(u),w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.61 2575[0:SpR:1597.1,248.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(hAPP(hAPP(c_fequal(u),v),w),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.61 2610[0:SpR:2578.1,248.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w),hAPP(c_Set_Oimage(hAPP(c_fequal(u),v),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.61 2603[0:SpR:2578.1,248.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(hAPP(hAPP(c_fequal(u),v),w),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.61 2643[0:SpR:757.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(c_Set_Oinsert(v,u),y)))*.
% 299.97/300.61 2985[0:SpR:2594.1,248.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.61 3750[0:Res:533.1,1202.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Finite__Set_Ofold1Set(v,c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),u),c_False))* -> equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_Finite__Set_Ofold1Set(v,c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),u)),w).
% 299.97/300.61 3964[0:Res:533.1,3956.0] || hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),c_False)) hBOOL(c_in(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w)),w,v))* -> .
% 299.97/300.61 4128[0:SpL:3333.0,408.0] || hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),hAPP(c_fequal(w),x)),w))* -> hBOOL(c_in(u,hAPP(c_fequal(w),v),w)) equal(u,x).
% 299.97/300.61 4363[0:SpR:1461.0,361.1] || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> hBOOL(c_in(hAPP(c_fequal(u),v),hAPP(c_Set_Oimage(c_Set_Oinsert(v,u),x,y),w),y))*.
% 299.97/300.61 4356[0:SpR:2160.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),w,y),v),y))*.
% 299.97/300.61 4351[0:SpR:1581.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(hAPP(hAPP(c_fequal(x),u),y),hAPP(c_Set_Oimage(hAPP(c_fequal(x),y),w,z),v),z))*.
% 299.97/300.61 4345[0:SpR:1923.0,361.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(c_in(x,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x),w,y),v),y))*.
% 299.97/300.61 4338[0:SpR:187.1,361.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w,y),v),y))*.
% 299.97/300.61 4337[0:SpR:186.1,361.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),x,y),w),y))*.
% 299.97/300.61 4331[0:SpR:685.0,361.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(c_in(x,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),w,y),v),y))*.
% 299.97/300.61 4330[0:SpR:684.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,x)),w,y),v),y))*.
% 299.97/300.61 4328[0:SpR:278.1,361.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),x,y),w),y))*.
% 299.97/300.61 4327[0:SpR:277.1,361.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w,y),v),y))*.
% 299.97/300.61 4324[0:SpR:683.1,361.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),w,x),v),x))*.
% 299.97/300.61 4323[0:SpR:682.1,361.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),w,x),v),x))*.
% 299.97/300.61 4321[0:SpR:699.0,361.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(c_in(hAPP(c_fequal(u),x),hAPP(c_Set_Oimage(c_Set_Oinsert(x,u),w,y),v),y))*.
% 299.97/300.61 4316[0:SpR:2659.0,361.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(c_Set_Oinsert(x,u),w,y),v),y))*.
% 299.97/300.61 4314[0:SpR:357.1,361.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),w,x),v),x))*.
% 299.97/300.61 4313[0:SpR:441.1,361.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),w,x),v),x))*.
% 299.97/300.61 4300[0:SpR:728.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(hAPP(c_fequal(x),u),hAPP(c_Set_Oimage(c_COMBC(c_fequal(x),x,x,tc_bool),w,y),v),y))*.
% 299.97/300.61 4299[0:SpR:418.1,361.1] || hBOOL(c_in(u,v,w)) hBOOL(c_in(v,x,y)) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(c_Set_Oinsert(u,w),y,z),x),z))*.
% 299.97/300.61 4556[0:SpR:149.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_COMBB(x,y,z,x1,x2),w,x3),v),hAPP(x,hAPP(y,u))))*.
% 299.97/300.61 4555[0:SpR:424.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Fun_Ocomp(x,y,z,x1,x2),w,x3),v),hAPP(x,hAPP(y,u))))*.
% 299.97/300.61 4547[0:SpR:2678.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),y,z),x),w))*.
% 299.97/300.61 4508[0:SpR:691.0,4377.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(x,u,y),w,z),v),c_COMBK(c_False,tc_bool,y)))*.
% 299.97/300.61 4871[0:Res:428.1,4686.0] || hBOOL(hAPP(u,v))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),z),u)),c_False))*.
% 299.97/300.61 4870[0:Res:429.1,4686.0] || hBOOL(hAPP(u,v))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),u),z)),c_False))*.
% 299.97/300.61 4812[0:SpL:149.0,4686.0] || hBOOL(hAPP(u,hAPP(v,w)))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),c_COMBB(u,v,z,x1,x2)),c_False))*.
% 299.97/300.61 4811[0:SpL:424.0,4686.0] || hBOOL(hAPP(u,hAPP(v,w)))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),c_Fun_Ocomp(u,v,z,x1,x2)),c_False))*.
% 299.97/300.61 4810[0:SpL:2651.0,4686.0] || hBOOL(hAPP(c_Set_Oinsert(u,v),w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w)),c_False))*.
% 299.97/300.61 4807[0:SpL:3333.0,4686.0] || hBOOL(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w)))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),c_Set_Oinsert(w,v)),c_False))*.
% 299.97/300.61 4919[0:Res:4836.0,4686.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_Set_Oinsert(y,z),x1))),c_False))*.
% 299.97/300.61 6035[0:SSi:6020.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),x),hAPP(c_Set_Oinsert(v,u),w))** -> hBOOL(c_in(v,x,u)).
% 299.97/300.61 6202[0:SpL:613.0,597.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oinsert(v,tc_Hoare__Mirabelle_Otriple(w)),hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(w)),y)),w)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oinsert(v,tc_Hoare__Mirabelle_Otriple(w)),y),w).
% 299.97/300.61 6198[0:SpL:613.0,610.0] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x)),y))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),x),y)) equal(w,y).
% 299.97/300.61 6182[0:SpR:1523.1,613.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_Set_Oinsert(v,u),hAPP(c_Set_Oinsert(w,u),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))),hAPP(c_Set_Oinsert(w,u),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)))**.
% 299.97/300.61 6155[0:SpR:613.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x),hAPP(c_Set_Oinsert(w,v),hAPP(c_Set_Oinsert(u,v),x)),y,z),c_Set_Oinsert(u,v))**.
% 299.97/300.61 6148[0:SpR:613.0,1436.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(v)),y))),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(v)),y),v)*.
% 299.97/300.61 7090[0:SpR:5398.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w),v,x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v))**.
% 299.97/300.61 7694[0:SpR:5145.1,248.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u)),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.61 7819[0:SpR:5148.1,35.0] class_Orderings_Oorder(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),v,x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v))**.
% 299.97/300.61 7891[0:SpR:5276.1,248.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u)),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.61 8029[0:Res:156.1,453.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),v).
% 299.97/300.61 8028[0:Res:518.1,453.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),v).
% 299.97/300.61 8039[0:Rew:341.0,8014.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v))**.
% 299.97/300.61 8076[0:SpR:5279.1,35.0] class_Orderings_Oorder(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),v,x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v))**.
% 299.97/300.61 8194[0:SSi:8174.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),v) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),v,u)*.
% 299.97/300.61 8195[0:SSi:8173.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),w) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),w,u)*.
% 299.97/300.61 8201[0:Res:8159.1,1473.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(u)))** -> c_Hoare__Mirabelle_Ohoare__derivs(c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(u)),v,u)*.
% 299.97/300.61 8200[0:Res:8159.1,1485.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(u)))** -> c_Hoare__Mirabelle_Ohoare__derivs(c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(u)),w,u)*.
% 299.97/300.61 8250[0:Res:156.1,452.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v),v).
% 299.97/300.61 8249[0:Res:518.1,452.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v),v).
% 299.97/300.61 8473[0:SpR:3333.0,7115.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),w)),hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),u),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),v)*.
% 299.97/300.61 8574[0:SSi:8560.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),v) -> c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),u)*.
% 299.97/300.61 8575[0:SSi:8558.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),w) -> c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),u)*.
% 299.97/300.61 8580[0:Res:533.1,739.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_False)) -> equal(c_SetInterval_Oord__class_OatLeastAtMost(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(u),v)),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.61 8775[0:Res:450.2,738.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w)** -> equal(c_SetInterval_Oord__class_OatLeastLessThan(w,v,u),c_COMBK(c_False,tc_bool,u)).
% 299.97/300.61 8774[0:Res:165.2,738.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v)** -> equal(c_SetInterval_Oord__class_OatLeastLessThan(w,v,u),c_COMBK(c_False,tc_bool,u)).
% 299.97/300.61 8768[0:Res:457.2,738.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,hAPP(c_Complete__Lattice_OInf__class_OInf(u),w),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.61 8766[0:Res:516.2,738.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Complete__Lattice_OSup__class_OSup(u),w),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.61 8752[0:Res:533.1,738.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(u),v)),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.61 8793[0:SSi:8772.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w)** -> equal(c_SetInterval_Oord__class_OatLeastLessThan(w,v,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool))).
% 299.97/300.61 8930[0:Res:450.2,737.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w)** -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,v,u),c_COMBK(c_False,tc_bool,u)).
% 299.97/300.61 8929[0:Res:165.2,737.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v)** -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,v,u),c_COMBK(c_False,tc_bool,u)).
% 299.97/300.61 8923[0:Res:457.2,737.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u)) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,hAPP(c_Complete__Lattice_OInf__class_OInf(u),w),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.61 8921[0:Res:516.2,737.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u)) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(c_Complete__Lattice_OSup__class_OSup(u),w),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.61 8907[0:Res:533.1,737.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(u),v)),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.61 8948[0:SSi:8927.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w)** -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,v,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool))).
% 299.97/300.61 9574[0:SpL:770.0,196.0] || c_Fun_Oinj__on(u,hAPP(c_Set_Oinsert(v,w),x),w,y) -> c_Fun_Oinj__on(u,hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(w,tc_bool)),hAPP(c_fequal(w),v)),w,y)*.
% 299.97/300.61 9533[0:SpR:770.0,404.1] || hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_fequal(w),x)),w))* -> hBOOL(c_in(u,hAPP(c_Set_Oinsert(x,w),v),w)).
% 299.97/300.61 9791[0:Res:8.2,3479.0] class_Ring__and__Field_Oordered__idom(tc_fun(u,tc_bool)) || c_Finite__Set_Ofinite(v,u) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* equal(v,w) c_Finite__Set_Ofinite(w,u).
% 299.97/300.61 9789[0:Res:8.2,158.1] class_Ring__and__Field_Oordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) equal(v,w).
% 299.97/300.61 10624[0:SSi:10609.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w)* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(u,x,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))* c_Hoare__Mirabelle_Ohoare__derivs(x,v,w)*.
% 299.97/300.61 10625[0:SSi:10601.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))* c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),v),x,w)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,x,w)*.
% 299.97/300.61 10626[0:SSi:10599.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))* c_Hoare__Mirabelle_Ohoare__derivs(u,x,w)* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),v),x,w)*.
% 299.97/300.61 10718[0:SSi:10705.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w)* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(x,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))* c_Hoare__Mirabelle_Ohoare__derivs(u,x,w)*.
% 299.97/300.61 10719[0:SSi:10697.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))* c_Hoare__Mirabelle_Ohoare__derivs(x,u,w)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),v),w)*.
% 299.97/300.61 10720[0:SSi:10695.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))* c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),v),w)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,u,w)*.
% 299.97/300.61 10828[0:AED:250.0,10816.1] || hBOOL(hAPP(c_fequal(u),v)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),c_Set_Oimage(c_COMBK(v,u,y),y,u)),c_False))*.
% 299.97/300.61 10961[0:Res:4253.2,768.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_Set_Oimage(c_COMBK(v,w,x),x,w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),hAPP(c_fequal(w),v))**.
% 299.97/300.61 10960[0:Res:4254.2,768.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(c_Set_Oimage(c_COMBK(v,w,x),x,w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),hAPP(c_fequal(w),v))**.
% 299.97/300.61 10959[0:Res:4255.2,768.0] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(c_Set_Oimage(c_COMBK(v,w,x),x,w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),hAPP(c_fequal(w),v))**.
% 299.97/300.61 11019[0:SpL:5136.1,778.0] class_Orderings_Oorder(tc_Com_Ostate) || c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,v_Q,t_a)),t_a)* -> .
% 299.97/300.61 11018[0:SpL:5266.1,778.0] class_Orderings_Oorder(tc_Com_Ostate) || c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,v_Q,t_a)),t_a)* -> .
% 299.97/300.61 12227[0:SpR:276.1,342.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(c_Complete__Lattice_OSup__class_OSup(u),v)),w),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(w,u),v)))**.
% 299.97/300.61 12226[0:SpR:276.1,343.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(c_Complete__Lattice_OSup__class_OSup(u),v)),w),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(w,u),v)))**.
% 299.97/300.61 12289[0:Obv:12241.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))**.
% 299.97/300.61 12301[0:SSi:12253.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(u,tc_bool)),w)),c_COMBK(c_False,tc_bool,u))** -> equal(v,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.61 12303[0:SSi:12189.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),v),tc_fun(u,tc_bool)),v)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),v))**.
% 299.97/300.61 12513[0:SpR:125.1,167.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),v)),w),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(w,u),v)))**.
% 299.97/300.61 12512[0:SpR:125.1,168.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),v)),w),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(w,u),v)))**.
% 299.97/300.61 12569[0:Obv:12524.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))**.
% 299.97/300.61 12676[0:SpL:12624.0,1141.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(u,v),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))))) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),c_False))*.
% 299.97/300.61 13353[0:SSi:13301.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)),v))* equal(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w),v).
% 299.97/300.61 13488[0:SSi:13475.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,x,tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(w,tc_bool)))* hBOOL(c_in(u,x,w))*.
% 299.97/300.61 13489[0:SSi:13463.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(w,tc_bool)))* hBOOL(c_in(x,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(w,tc_bool)),v),w))* -> hBOOL(c_in(x,u,w))*.
% 299.97/300.61 13490[0:SSi:13461.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(w,tc_bool)))* hBOOL(c_in(x,u,w))* -> hBOOL(c_in(x,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(w,tc_bool)),v),w))*.
% 299.97/300.61 13561[0:SSi:13560.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w))* -> equal(c_COMBK(c_False,tc_bool,tc_fun(w,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,x,tc_fun(w,tc_bool)))* hBOOL(c_in(u,x,w))*.
% 299.97/300.61 13562[0:SSi:13559.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,x,tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(w,tc_bool)))* hBOOL(c_in(u,x,w))*.
% 299.97/300.61 13649[0:SpR:712.1,774.1] class_Orderings_Oorder(u) || -> hBOOL(c_in(v,w,u)) equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(v,u),w),tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),w)**.
% 299.97/300.61 13833[0:SSi:13820.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Fun_Oinj__on(u,v,w,x)* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(y,v,tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(w,tc_bool)))* c_Fun_Oinj__on(u,y,w,x)*.
% 299.97/300.61 13834[0:SSi:13808.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(w,tc_bool)))* c_Fun_Oinj__on(x,u,w,y)* -> c_Fun_Oinj__on(x,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(w,tc_bool)),v),w,y)*.
% 299.97/300.61 13835[0:SSi:13806.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(w,tc_bool)))* c_Fun_Oinj__on(x,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(w,tc_bool)),v),w,y)* -> c_Fun_Oinj__on(x,u,w,y)*.
% 299.97/300.61 13904[0:Res:3225.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,c_False),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),u,x,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 15153[0:Res:156.1,503.1] class_Orderings_Olinorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(w,v)))* hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(w,u)),v))*.
% 299.97/300.61 15152[0:Res:518.1,503.1] class_Orderings_Olinorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(w,v)))* hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(w,u)),v))*.
% 299.97/300.61 15186[0:SpR:12721.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),c_False)),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.61 15209[0:SpR:12758.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.61 15343[0:SpR:13539.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_bool),c_False)),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.61 15457[0:SpR:12263.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(c_False,tc_bool),u),v,w)) -> hBOOL(c_in(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.61 15621[0:SpR:13516.1,361.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.61 15725[0:SpR:13552.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w,x))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),x,y),w),y))*.
% 299.97/300.61 15801[0:Res:323.2,1152.0] || hBOOL(c_in(u,v,w))* equal(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x),c_COMBK(c_False,tc_bool,w))** -> hBOOL(c_in(u,x,w))*.
% 299.97/300.61 15810[0:SpR:13736.1,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> equal(u,c_False) hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.61 16051[0:SpR:13517.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_False))*.
% 299.97/300.61 16047[0:SpR:12731.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,u)),c_False))*.
% 299.97/300.61 16045[0:SpR:13510.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_bool),c_False),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,u)),c_False))*.
% 299.97/300.61 16044[0:SpR:12718.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_False),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,u)),c_False))*.
% 299.97/300.61 16019[0:SpR:15484.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,u)),c_False))*.
% 299.97/300.61 16016[0:SpR:15481.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_False),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,u)),c_False))*.
% 299.97/300.61 16012[0:SpR:8998.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_False))*.
% 299.97/300.61 16011[0:SpR:5331.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_False))*.
% 299.97/300.61 16010[0:SpR:8825.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_False))*.
% 299.97/300.61 16009[0:SpR:5198.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_False))*.
% 299.97/300.61 15964[0:SpR:12550.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),w,u)),x))*.
% 299.97/300.61 15961[0:SpR:12624.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),x,u)),v))*.
% 299.97/300.61 16084[0:SSi:16062.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w))* c_Hoare__Mirabelle_Ohoare__derivs(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,x,w,tc_fun(tc_Hoare__Mirabelle_Otriple(y),tc_bool)),z,y)* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(x,u),z,y)*.
% 299.97/300.61 16085[0:SSi:16061.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w))* c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(y,u),z)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,y,w,tc_fun(tc_Hoare__Mirabelle_Otriple(z),tc_bool)),z)*.
% 299.97/300.61 16117[0:SpR:15551.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),v,w))* -> hBOOL(c_in(u,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.61 16315[0:SpR:13517.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 299.97/300.61 16311[0:SpR:12731.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,u)))*.
% 299.97/300.61 16309[0:SpR:13510.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_bool),c_False),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,u)))*.
% 299.97/300.61 16308[0:SpR:12718.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_False),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,u)))*.
% 299.97/300.61 16283[0:SpR:15484.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,u)))*.
% 299.97/300.61 16280[0:SpR:15481.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_False),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,u)))*.
% 299.97/300.61 16275[0:SpR:8998.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 299.97/300.61 16274[0:SpR:5331.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 299.97/300.61 16273[0:SpR:8825.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 299.97/300.61 16272[0:SpR:5198.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 299.97/300.61 16227[0:SpR:12550.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),x),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),w,u)))*.
% 299.97/300.61 16224[0:SpR:12624.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),x,u)))*.
% 299.97/300.61 16348[0:SSi:16323.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w))* c_Hoare__Mirabelle_Ohoare__derivs(hAPP(x,u),y,z)* -> c_Hoare__Mirabelle_Ohoare__derivs(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,x,w,tc_fun(tc_Hoare__Mirabelle_Otriple(z),tc_bool)),y,z)*.
% 299.97/300.61 16349[0:SSi:16322.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w))* c_Hoare__Mirabelle_Ohoare__derivs(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,y,w,tc_fun(tc_Hoare__Mirabelle_Otriple(z),tc_bool)),z)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(y,u),z)*.
% 299.97/300.61 16378[0:SpR:8799.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v,v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)))**.
% 299.97/300.61 16375[0:SpR:8799.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool)),w,y),v),y))*.
% 299.97/300.61 16529[0:SpL:759.0,182.0] || c_Fun_Oinj__on(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x),v,y)* -> c_Fun_Oinj__on(u,hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),x),v,y).
% 299.97/300.61 16527[0:SpL:759.0,1485.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x),v)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),v).
% 299.97/300.61 16500[0:SpR:759.0,3270.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x)),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),v)*.
% 299.97/300.61 16497[0:SpR:759.0,474.1] || hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x),w)) -> hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),x),w))*.
% 299.97/300.61 16480[0:SpR:759.0,133.2] || c_Finite__Set_Ofinite(u,v) c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),u),v) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u),v)*.
% 299.97/300.61 16553[0:SpR:8802.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(c_in(x,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),x),w,y),v),y))*.
% 299.97/300.61 16643[0:SpR:8815.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(c_in(hAPP(c_fequal(tc_bool),x),hAPP(c_Set_Oimage(c_Set_Oinsert(x,tc_bool),w,y),v),y))*.
% 299.97/300.61 16810[0:SpR:8972.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v,v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)))**.
% 299.97/300.61 16807[0:SpR:8972.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool)),w,y),v),y))*.
% 299.97/300.61 16908[0:SpR:8975.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(c_in(x,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),x),w,y),v),y))*.
% 299.97/300.61 17002[0:SpR:8988.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(c_in(hAPP(c_fequal(tc_bool),x),hAPP(c_Set_Oimage(c_Set_Oinsert(x,tc_bool),w,y),v),y))*.
% 299.97/300.61 17123[0:SSi:17116.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(x,u),w)),v),v)**.
% 299.97/300.61 17124[0:SSi:17115.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(x,u),w)),v)**.
% 299.97/300.61 17271[0:Rew:411.0,17260.0] || equal(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x)),x)** -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(v,tc_bool)),w),x)).
% 299.97/300.61 17308[0:SpR:13518.1,361.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.61 17327[0:SpR:13522.1,361.1] class_Orderings_Obot(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.61 17426[0:SSi:17406.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* c_Finite__Set_Ofinite(w,u) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x),v),u)*.
% 299.97/300.61 17579[0:SSi:17560.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* c_Finite__Set_Ofinite(w,u) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),x),u)*.
% 299.97/300.61 17685[0:SpR:9620.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),v,v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)))**.
% 299.97/300.61 17682[0:SpR:9620.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool)),w,y),v),y))*.
% 299.97/300.61 17850[0:SSi:17837.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* c_Finite__Set_Ofinite(w,u) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x),v),u)*.
% 299.97/300.61 17862[0:SpR:9623.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(c_in(x,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),x),w,y),v),y))*.
% 299.97/300.61 17957[0:SpR:9636.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(c_in(hAPP(c_fequal(tc_bool),x),hAPP(c_Set_Oimage(c_Set_Oinsert(x,tc_bool),w,y),v),y))*.
% 299.97/300.61 18036[0:SpR:9853.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),v,v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)))**.
% 299.97/300.61 18033[0:SpR:9853.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool)),w,y),v),y))*.
% 299.97/300.61 18200[0:SSi:18191.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* c_Finite__Set_Ofinite(w,u) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),x),u)*.
% 299.97/300.61 18212[0:SpR:9856.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(c_in(x,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),x),w,y),v),y))*.
% 299.97/300.61 18310[0:SpR:9869.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(c_in(hAPP(c_fequal(tc_bool),x),hAPP(c_Set_Oimage(c_Set_Oinsert(x,tc_bool),w,y),v),y))*.
% 299.97/300.61 18491[0:SSi:18464.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x),u)* -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.61 18698[0:SSi:18678.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),w),u)* -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.61 18761[0:SpR:12282.1,361.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w,y),v),y))*.
% 299.97/300.61 18913[0:SSi:18901.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),w),u)* -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.61 18927[0:SpR:12564.1,361.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w,y),v),y))*.
% 299.97/300.61 19124[0:SSi:19115.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x),u)* -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.61 19279[0:Rew:242.1,19278.1] class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),x)** -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x)).
% 299.97/300.61 19292[0:SpR:13524.0,4377.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_False))*.
% 299.97/300.61 19323[0:SpR:13633.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_False))*.
% 299.97/300.61 19638[0:Rew:242.1,19637.1] class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),x)** -> hBOOL(hAPP(hAPP(c_lessequals(u),w),x)).
% 299.97/300.61 19658[0:SpL:19460.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Orderings_Otop__class_Otop(tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_bool),u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 19696[0:SpR:15401.0,4377.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_False))*.
% 299.97/300.61 19815[0:Obv:19794.0] class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),v)** -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x)).
% 299.97/300.61 19843[0:SpR:12684.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)))*.
% 299.97/300.61 19910[0:SpR:12724.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(c_False,tc_bool),v)),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),x,y),w),c_False))*.
% 299.97/300.61 20038[0:Obv:20016.0] class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),v)** -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)).
% 299.97/300.61 20217[0:Res:450.2,20047.0] class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))** -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.61 20433[0:SpR:20156.0,361.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.61 20448[0:SpR:20245.0,361.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.61 20463[0:SpR:20134.1,361.1] || hBOOL(u) hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.61 20480[0:SpR:20106.1,361.1] || hBOOL(u) hBOOL(c_in(c_COMBK(u,v,w),x,y))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),y,z),x),z))*.
% 299.97/300.61 20589[0:SpR:20287.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 20608[0:SpR:13523.0,4377.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_False))*.
% 299.97/300.61 20730[0:SpR:1916.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w,tc_fun(x,tc_bool))),u))*.
% 299.97/300.61 20729[0:SpR:1118.0,435.1] || hBOOL(c_in(c_False,u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),v,tc_fun(w,tc_bool))),c_False))*.
% 299.97/300.61 20727[0:SpR:1088.0,435.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,tc_fun(x,tc_bool))),c_False))*.
% 299.97/300.61 20701[0:SpR:988.0,435.1] || hBOOL(c_in(c_False,u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),v,tc_fun(w,tc_bool))),x))*.
% 299.97/300.61 20683[0:SpR:19460.0,435.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_HOL_Ominus__class_Ominus(x,tc_bool),v,tc_fun(w,tc_bool))),c_False))*.
% 299.97/300.61 20675[0:SpR:657.0,435.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_COMBK(y,z,x1),w,tc_fun(x,tc_bool))),y))*.
% 299.97/300.61 20668[0:SpR:956.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),w,tc_fun(x,tc_bool))),u))*.
% 299.97/300.61 20659[0:SpR:9728.0,435.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 299.97/300.61 20658[0:SpR:9002.0,435.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 299.97/300.61 20657[0:SpR:9428.0,435.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 299.97/300.61 20656[0:SpR:8828.0,435.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 299.97/300.61 20989[0:SpR:15486.1,4377.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 21140[0:SpR:1916.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w,tc_fun(x,tc_bool))))*.
% 299.97/300.61 21139[0:SpR:1118.0,265.1] || hBOOL(c_in(c_False,u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),v,tc_fun(w,tc_bool))))*.
% 299.97/300.61 21137[0:SpR:1088.0,265.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,tc_fun(x,tc_bool))))*.
% 299.97/300.61 21111[0:SpR:988.0,265.1] || hBOOL(c_in(c_False,u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),x),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),v,tc_fun(w,tc_bool))))*.
% 299.97/300.61 21093[0:SpR:19460.0,265.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_HOL_Ominus__class_Ominus(x,tc_bool),v,tc_fun(w,tc_bool))))*.
% 299.97/300.61 21085[0:SpR:657.0,265.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_COMBK(y,z,x1),w,tc_fun(x,tc_bool))))*.
% 299.97/300.61 21078[0:SpR:956.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),w,tc_fun(x,tc_bool))))*.
% 299.97/300.61 21069[0:SpR:9728.0,265.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool),w,tc_fun(x,tc_bool))))*.
% 299.97/300.61 21068[0:SpR:9002.0,265.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool),w,tc_fun(x,tc_bool))))*.
% 299.97/300.61 21067[0:SpR:9428.0,265.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool),w,tc_fun(x,tc_bool))))*.
% 299.97/300.61 21066[0:SpR:8828.0,265.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool),w,tc_fun(x,tc_bool))))*.
% 299.97/300.61 21304[0:SpR:17170.0,4377.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_False))*.
% 299.97/300.61 21340[0:SpR:17217.0,4377.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_False))*.
% 299.97/300.61 21378[0:SpR:20157.1,4377.1] class_Orderings_Olinorder(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 21398[0:SpR:20158.1,4377.1] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 21466[0:Res:4138.1,430.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))** -> hBOOL(c_in(x,v,u))* hBOOL(c_in(x,w,u))*.
% 299.97/300.61 21475[0:SpR:20159.1,4377.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 21497[0:SpR:20160.1,4377.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 21520[0:SpR:20161.1,4377.1] class_Orderings_Oorder(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 21544[0:SpR:20162.1,4377.1] class_Orderings_Opreorder(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 22003[0:Res:3665.1,352.0] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oinsert(y,u),x,tc_fun(z,tc_bool)),v))*.
% 299.97/300.61 21970[0:Res:3996.1,352.0] || hBOOL(u) hBOOL(c_in(c_COMBK(u,v,w),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Set_Oinsert(z,x1),y,tc_fun(x2,tc_bool)),c_False))*.
% 299.97/300.61 21920[0:Res:1430.0,352.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(x,u,y),w,tc_fun(z,tc_bool)),hAPP(x,x1)))*.
% 299.97/300.61 21917[0:Res:1506.1,352.0] || hBOOL(c_in(u,v,w))* hBOOL(c_in(v,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Set_Oinsert(z,w),y,tc_fun(x1,tc_bool)),u))*.
% 299.97/300.61 21906[0:Res:1273.2,352.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.61 21905[0:Res:1293.2,352.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.61 21904[0:Res:1313.2,352.0] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.61 21892[0:Res:1276.2,352.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(u),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.61 21891[0:Res:1294.2,352.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(u),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.61 21890[0:Res:1310.2,352.0] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(u),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.61 21808[0:SpL:367.1,352.0] class_Lattices_Obounded__lattice(u) || hBOOL(v) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(u),x,tc_fun(y,tc_bool)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.61 21806[0:SpL:12280.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(u),x,tc_fun(y,tc_bool)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.61 21805[0:SpL:19.1,352.0] class_Lattices_Obounded__lattice(u) || hBOOL(v) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Olower__semilattice__class_Oinf(u),x,tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.61 21803[0:SpL:12562.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Olower__semilattice__class_Oinf(u),x,tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.61 21799[0:SpL:18.1,352.0] class_Lattices_Obounded__lattice(u) || hBOOL(v) hBOOL(c_in(c_Orderings_Otop__class_Otop(u),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Olower__semilattice__class_Oinf(u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.61 21796[0:SpL:366.1,352.0] class_Lattices_Obounded__lattice(u) || hBOOL(v) hBOOL(c_in(c_Orderings_Obot__class_Obot(u),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.61 21658[0:SpL:1916.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(u,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.61 21657[0:SpL:1118.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(c_False,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),w,tc_fun(y,tc_bool)),u))*.
% 299.97/300.61 21655[0:SpL:1088.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.61 21629[0:SpL:988.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(c_False,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.61 21611[0:SpL:19460.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(x,tc_bool),w,tc_fun(y,tc_bool)),u))*.
% 299.97/300.61 21603[0:SpL:657.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_COMBK(u,z,x1),y,tc_fun(x2,tc_bool)),v))*.
% 299.97/300.61 21596[0:SpL:956.0,352.0] || hBOOL(hAPP(u,v))* hBOOL(c_in(u,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.61 21587[0:SpL:9728.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool),x,tc_fun(z,tc_bool)),u))*.
% 299.97/300.61 21586[0:SpL:9002.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool),x,tc_fun(z,tc_bool)),u))*.
% 299.97/300.61 21585[0:SpL:9428.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool),x,tc_fun(z,tc_bool)),u))*.
% 299.97/300.61 21584[0:SpL:8828.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool),x,tc_fun(z,tc_bool)),u))*.
% 299.97/300.61 22032[0:SpR:20209.1,4377.1] || hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v,w))* -> equal(c_Orderings_Otop__class_Otop(tc_bool),u) hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 22056[0:SpR:20246.1,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 22077[0:SpR:20247.1,4377.1] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 22099[0:SpR:20248.1,4377.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 22128[0:SpR:20249.1,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 22148[0:SpR:20250.1,4377.1] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 22169[0:SpR:20251.1,4377.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 22218[0:SpR:20303.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y),w),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 22242[0:SpR:20330.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_bool),v)),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y),w),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 22265[0:SpR:20345.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v)),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y),w),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 22320[0:SpR:405.0,1506.1] || hBOOL(c_in(u,hAPP(c_Set_Oimage(v,w,x),y),x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(v,w,x),hAPP(c_Set_Oinsert(z,w),y)),u))*.
% 299.97/300.61 22712[0:Res:10477.0,352.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,x),w,tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 23080[0:SpL:12544.0,461.0] || equal(hAPP(c_Set_Oinsert(c_False,tc_bool),u),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Set_Oinsert(c_False,tc_bool),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OInf__class_OInf(tc_bool)),u),u)**.
% 299.97/300.61 22808[0:SpL:12550.0,461.0] || equal(hAPP(u,v),v)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),x,y)* -> equal(hAPP(hAPP(w,u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.61 22727[0:SpL:34.0,461.0] || equal(hAPP(u,v),v)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Fun_Ofun__upd(x,y,v,z,x1),x2,x3)* -> equal(hAPP(hAPP(w,u),y),y)**.
% 299.97/300.61 22714[0:SpL:256.0,461.0] || equal(hAPP(u,v),v) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),v),y,z)* -> equal(hAPP(hAPP(w,u),v),v)**.
% 299.97/300.61 23127[0:Obv:22994.1] class_Orderings_Oorder(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(z,z,u))),x1),x1)**.
% 299.97/300.61 23128[0:Obv:22993.1] class_Orderings_Oorder(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(z,z,u))),x1),x1)**.
% 299.97/300.61 23129[0:Obv:22980.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),hAPP(v,w))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,c_Set_Oinsert(x1,u)),w),w)**.
% 299.97/300.61 23170[0:SpR:20163.1,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 23195[0:SpR:20167.1,4377.1] class_Orderings_Obot(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 23221[0:SpR:20177.0,4377.1] || hBOOL(c_in(c_Finite__Set_Ofold1Set(u,hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool)),v),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y),w),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 23306[0:Rew:424.0,23238.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(x,y,z),hAPP(c_Set_Oimage(x1,w,y),v)),hAPP(x,hAPP(x1,u))))*.
% 299.97/300.61 23315[0:SpR:20252.1,4377.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 23340[0:SpR:20253.1,4377.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 23541[0:SpR:8816.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(x,tc_bool,y),w,z),v),c_COMBK(c_False,tc_bool,y)))*.
% 299.97/300.61 23670[0:SpR:8989.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(x,tc_bool,y),w,z),v),c_COMBK(c_False,tc_bool,y)))*.
% 299.97/300.61 23934[0:SSi:23903.0,621.1,622.1,627.1] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(v,v_x)),hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,u)),v),w),v_x)),hAPP(v,v_x))**.
% 299.97/300.61 23935[0:SSi:23900.0,621.1,622.1,627.1] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(v,v_x)),hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,u)),w),v),v_x)),hAPP(v,v_x))**.
% 299.97/300.61 24160[0:Res:14847.0,352.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_bool),u,y),w,tc_fun(z,tc_bool)),c_False))*.
% 299.97/300.61 24263[0:Obv:24247.0] class_HOL_Oord(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,u)),w),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(w,y)),hAPP(x,y)))*.
% 299.97/300.61 24614[0:SpL:24543.0,461.0] || equal(hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),x,y)* -> equal(hAPP(hAPP(v,u),z),z)**.
% 299.97/300.61 24613[0:SpL:24543.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),u)),v))*.
% 299.97/300.61 24601[0:SpR:24543.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),x,u)))*.
% 299.97/300.61 24600[0:SpR:24543.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 24714[0:SpR:9637.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(x,tc_bool,y),w,z),v),c_COMBK(c_False,tc_bool,y)))*.
% 299.97/300.61 24764[0:SpR:9870.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(x,tc_bool,y),w,z),v),c_COMBK(c_False,tc_bool,y)))*.
% 299.97/300.61 24810[0:Res:14946.0,352.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_bool),u,y),w,tc_fun(z,tc_bool)),x))*.
% 299.97/300.61 24811[0:Res:16120.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,v),w)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),u,y,tc_fun(w,tc_bool)),w)*.
% 299.97/300.61 24892[0:SpL:803.2,195.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),u) -> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),u)*.
% 299.97/300.61 24867[0:SpR:803.2,12724.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False)) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))),c_False)**.
% 299.97/300.61 24841[0:SpR:803.2,12711.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False)) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_False,v,w),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.61 24836[0:SpR:803.2,194.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),u)* -> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),u).
% 299.97/300.61 24828[0:SpR:803.2,611.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(c_Set_Oinsert(w,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u))**.
% 299.97/300.61 25077[0:SpL:802.2,195.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),u) -> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),u)*.
% 299.97/300.61 25021[0:SpR:802.2,194.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),u)* -> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),u).
% 299.97/300.61 25013[0:SpR:802.2,611.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(c_Set_Oinsert(v,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u))**.
% 299.97/300.61 25217[0:Res:26.1,181.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oimage(w,u,u),v)))* c_Finite__Set_Ofinite(v,u) -> c_Fun_Oinj__on(w,v,u,u).
% 299.97/300.61 25247[0:SpR:613.0,10592.1] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),w),x,v) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Set_Oinsert(y,tc_Hoare__Mirabelle_Otriple(v)),w)),x,v)*.
% 299.97/300.61 25609[0:MRR:25591.3,5316.1] class_Orderings_Oorder(u) || c_Finite__Set_Ofold__graph(v,w,c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u),y,u,u)* -> hBOOL(hAPP(c_Finite__Set_Ofold1Set(v,hAPP(c_fequal(u),w),u),y)).
% 299.97/300.61 25610[0:MRR:25590.3,5184.1] class_Orderings_Oorder(u) || c_Finite__Set_Ofold__graph(v,w,c_SetInterval_Oord__class_OatLeastLessThan(x,x,u),y,u,u)* -> hBOOL(hAPP(c_Finite__Set_Ofold1Set(v,hAPP(c_fequal(u),w),u),y)).
% 299.97/300.61 25999[0:SSi:25965.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)),u))*.
% 299.97/300.61 26000[0:SSi:25964.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)),u))*.
% 299.97/300.61 26001[0:SSi:25963.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)),u))*.
% 299.97/300.61 26002[0:SSi:25962.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)),u))*.
% 299.97/300.61 26003[0:SSi:25951.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))*.
% 299.97/300.61 26004[0:SSi:25941.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_COMBK(c_False,tc_bool,u)))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v))*.
% 299.97/300.61 26259[0:SpR:411.0,236.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),hAPP(c_Set_Oinsert(v,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x))))*.
% 299.97/300.61 26252[0:SpR:411.0,429.1] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),w),x)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),y)),x))*.
% 299.97/300.61 26718[0:SpR:5398.0,410.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),x))),hAPP(c_Set_Oinsert(w,u),v))**.
% 299.97/300.61 26583[0:SpR:410.0,237.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),hAPP(c_Set_Oinsert(v,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),w))))*.
% 299.97/300.61 26561[0:SpR:410.0,428.1] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),w),x)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),y),w)),x))*.
% 299.97/300.61 26918[0:SpR:803.2,26868.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),u),v_x)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,v_x,t_a),v_x))))*.
% 299.97/300.61 26917[0:SpR:802.2,26868.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),v_x),u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,u,t_a),v_x))))*.
% 299.97/300.61 27021[0:Rew:770.0,26948.1] || hBOOL(c_in(u,hAPP(c_fequal(v),w),v)) -> equal(hAPP(c_Set_Oinsert(w,v),hAPP(c_Set_Oinsert(u,v),x)),hAPP(c_Set_Oinsert(w,v),x))**.
% 299.97/300.61 27222[0:Res:425.2,530.0] class_Orderings_Oorder(tc_Hoare__Mirabelle_Otriple(u)) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_Hoare__Mirabelle_Otriple(u)),v),w)) c_Hoare__Mirabelle_Ohoare__derivs(c_SetInterval_Oord__class_OatLeastAtMost(x,y,tc_Hoare__Mirabelle_Otriple(u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_Hoare__Mirabelle_Otriple(u)),u)*.
% 299.97/300.61 27298[0:SpR:770.0,13604.1] || hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),hAPP(c_fequal(tc_bool),v)),c_False))* -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),u)),c_False).
% 299.97/300.61 27543[0:SpL:167.1,14495.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),v),tc_bool),hAPP(w,v_x)))* -> hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),v_x)).
% 299.97/300.61 27542[0:SpL:168.1,14495.0] class_Lattices_Olattice(u) || hBOOL(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),v),tc_bool),hAPP(w,v_x)))* -> hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),v_x)).
% 299.97/300.61 27538[0:SpL:342.1,14495.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),v),tc_bool),hAPP(w,v_x)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),v_x)).
% 299.97/300.61 27537[0:SpL:343.1,14495.0] class_Lattices_Olattice(u) || hBOOL(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),v),tc_bool),hAPP(w,v_x)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),v_x)).
% 299.97/300.61 27627[0:Rew:2578.1,27503.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u),v),tc_bool),hAPP(w,v_x)))* -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),v_x))*.
% 299.97/300.61 27629[0:Rew:1597.1,27498.2] class_Orderings_Oorder(u) || hBOOL(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),v_x),tc_bool),hAPP(w,v_x)))* -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u),v)).
% 299.97/300.61 27935[0:Res:16120.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,y),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.61 27928[0:Res:3225.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(c_in(c_False,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,x),w,tc_fun(x,tc_bool)),x))*.
% 299.97/300.61 27913[0:Res:253.1,331.1] || hBOOL(hAPP(hAPP(u,v),w))* hBOOL(c_in(v,x,y))* -> hBOOL(c_in(w,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,u,y,tc_fun(z,tc_bool)),z))*.
% 299.97/300.61 28090[0:Res:253.1,289.1] || hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,v,w,tc_fun(x,tc_bool)),y))* hBOOL(c_in(z,u,w))* -> hBOOL(c_in(y,hAPP(v,z),x))*.
% 299.97/300.61 28393[0:SpR:326.1,8390.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),hAPP(c_Set_Oimage(z,w,x),v)),hAPP(z,u)))*.
% 299.97/300.61 29187[0:SpR:28270.1,747.0] || equal(c_False,u) -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_COMBK(c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool),tc_fun(tc_bool,tc_bool),x),x,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool))**.
% 299.97/300.61 29186[0:SpR:28270.1,744.0] || equal(c_False,u) -> equal(c_Product__Type_OSigma(v,c_COMBK(c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool),tc_fun(tc_bool,tc_bool),x),x,tc_bool),c_COMBK(c_False,tc_bool,tc_prod(x,tc_bool)))**.
% 299.97/300.61 29429[0:Rew:699.0,29079.3] class_Orderings_Olinorder(tc_bool) || equal(c_False,u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u))* -> equal(hAPP(c_fequal(tc_bool),v),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_bool)).
% 299.97/300.61 29735[0:SpR:28271.1,747.0] || equal(c_False,u) -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_COMBK(c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool),tc_fun(tc_bool,tc_bool),x),x,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool))**.
% 299.97/300.61 29734[0:SpR:28271.1,744.0] || equal(c_False,u) -> equal(c_Product__Type_OSigma(v,c_COMBK(c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool),tc_fun(tc_bool,tc_bool),x),x,tc_bool),c_COMBK(c_False,tc_bool,tc_prod(x,tc_bool)))**.
% 299.97/300.61 29978[0:Rew:699.0,29627.3] class_Orderings_Olinorder(tc_bool) || equal(c_False,u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u))* -> equal(hAPP(c_fequal(tc_bool),u),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_bool)).
% 299.97/300.61 30055[0:SpR:14944.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_HOL_Ominus__class_Ominus(v,tc_bool),w,x,y),c_False,hAPP(u,v),y,x),c_Fun_Ocomp(u,c_HOL_Ominus__class_Ominus(v,tc_bool),w,x,y))**.
% 299.97/300.61 30051[0:SpR:14845.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_HOL_Ominus__class_Ominus(v,tc_bool),w,x,y),v,hAPP(u,c_False),y,x),c_Fun_Ocomp(u,c_HOL_Ominus__class_Ominus(v,tc_bool),w,x,y))**.
% 299.97/300.61 30050[0:SpR:14601.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_HOL_Ominus__class_Ominus(c_False,tc_bool),v,w,x),y,hAPP(u,c_False),x,w),c_Fun_Ocomp(u,c_HOL_Ominus__class_Ominus(c_False,tc_bool),v,w,x))**.
% 299.97/300.61 30026[0:SpR:159.0,1533.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Fun_Ocomp(u,c_Fun_Ofun__upd(v,w,x,y,z),z,x1,y),x2,x3),c_Orderings_Otop__class_Otop(tc_fun(x2,tc_bool))),hAPP(u,x)))*.
% 299.97/300.61 30536[0:SpR:29192.1,361.1] || equal(c_False,u) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w,x))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y),w),y))*.
% 299.97/300.61 30709[0:SpR:29740.1,361.1] || equal(c_False,u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w,x))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y),w),y))*.
% 299.97/300.61 34551[0:Res:28211.1,352.0] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))* hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_bool),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.61 34889[0:SpR:29198.1,4377.1] || equal(c_False,u) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),x,y),w),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 34983[0:SpR:29746.1,4377.1] || equal(c_False,u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),x,y),w),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 35251[0:SpR:803.2,28358.1] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) equal(c_False,v) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool)),v)**.
% 299.97/300.61 35214[0:SpR:28358.1,4377.1] || equal(c_False,u) hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),v),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),x,y),w),u))*.
% 299.97/300.61 35276[0:SpR:35239.1,361.1] || equal(c_False,u) hBOOL(c_in(hAPP(c_fequal(tc_bool),u),v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.61 35304[0:SpR:35267.1,361.1] || equal(c_False,u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),v,w))* -> hBOOL(c_in(u,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.61 35977[0:Res:28272.1,352.0] || equal(c_False,u) hBOOL(c_in(u,v,w))* -> equal(x,u)* hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Oord__class_Oless(tc_bool),w,tc_fun(y,tc_bool)),x))*.
% 299.97/300.61 36556[0:SSi:36400.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),y),v)),u))*.
% 299.97/300.61 36927[0:SSi:36889.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),x),y)),v))* -> hBOOL(hAPP(y,u)).
% 299.97/300.61 37417[0:SpR:1091.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),c_COMBK(c_False,tc_bool,u)))*.
% 299.97/300.61 37411[0:SpR:279.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))*.
% 299.97/300.61 37410[0:SpR:167.1,26165.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),v)))*.
% 299.97/300.61 37409[0:SpR:168.1,26165.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),v)))*.
% 299.97/300.61 37407[0:SpR:1597.1,26165.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_fequal(u),v),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u),v)))*.
% 299.97/300.61 37405[0:SpR:342.1,26165.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),v)))*.
% 299.97/300.61 37404[0:SpR:343.1,26165.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),v)))*.
% 299.97/300.61 37395[0:SpR:5674.2,26165.1] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.61 37394[0:SpR:5789.2,26165.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.61 37389[0:SpR:5276.1,26165.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v_x))*.
% 299.97/300.61 37388[0:SpR:5145.1,26165.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v_x))*.
% 299.97/300.61 37381[0:SpR:5441.2,26165.1] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.61 37380[0:SpR:5861.2,26165.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.61 37483[0:Rew:2578.1,37365.2] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u),v)))*.
% 299.97/300.61 37360[0:SpR:2578.1,26165.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_fequal(u),v),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),v_x)))*.
% 299.97/300.61 38172[0:SSi:37882.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),y)),u))*.
% 299.97/300.61 38689[0:SSi:38610.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),x),y)),v))* -> hBOOL(hAPP(x,u)).
% 299.97/300.61 40082[0:SpR:14531.0,793.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xescape__2(u,c_HOL_Ominus__class_Ominus(c_False,tc_bool),v,w))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_HOL_Ominus__class_Ominus(c_False,tc_bool),w,v,t_a)),t_a)*.
% 299.97/300.61 40318[0:SpR:14531.0,792.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,c_HOL_Ominus__class_Ominus(c_False,tc_bool),v,w))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_HOL_Ominus__class_Ominus(c_False,tc_bool),w,v,t_a)),t_a)*.
% 299.97/300.61 40519[0:SpR:14531.0,791.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,c_HOL_Ominus__class_Ominus(c_False,tc_bool),v,w))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_HOL_Ominus__class_Ominus(c_False,tc_bool),w,v,t_a)),t_a)*.
% 299.97/300.61 40815[0:Res:40007.2,1141.0] || hBOOL(c_in(v_x,c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool))),tc_bool))* hBOOL(v_x) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_False)).
% 299.97/300.61 42625[0:SpR:1091.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_COMBK(c_False,tc_bool,u)),v))*.
% 299.97/300.61 42619[0:SpR:279.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v))*.
% 299.97/300.61 42618[0:SpR:167.1,26440.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),v)),w))*.
% 299.97/300.61 42617[0:SpR:168.1,26440.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),v)),w))*.
% 299.97/300.61 42615[0:SpR:1597.1,26440.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_fequal(u),v),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u),v)),w))*.
% 299.97/300.61 42613[0:SpR:342.1,26440.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),v)),w))*.
% 299.97/300.61 42612[0:SpR:343.1,26440.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),v)),w))*.
% 299.97/300.61 42602[0:SpR:5674.2,26440.1] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Obot__class_Obot(u)),v))*.
% 299.97/300.61 42601[0:SpR:5789.2,26440.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Obot__class_Obot(u)),v))*.
% 299.97/300.61 42596[0:SpR:5276.1,26440.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),w))*.
% 299.97/300.61 42595[0:SpR:5145.1,26440.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),w))*.
% 299.97/300.61 42588[0:SpR:5441.2,26440.1] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(u)),v))*.
% 299.97/300.61 42587[0:SpR:5861.2,26440.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(u)),v))*.
% 299.97/300.61 42680[0:Rew:2578.1,42572.2] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u),v)),w))*.
% 299.97/300.61 42567[0:SpR:2578.1,26440.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_fequal(u),v),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),v_x)),w))*.
% 299.97/300.61 43134[0:SpL:795.0,3956.0] || hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),x)),y))* hBOOL(c_in(y,hAPP(c_fequal(v),w),v)) -> .
% 299.97/300.61 44580[0:SSi:44191.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(v,w)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(w,x),y),v,x,tc_fun(u,tc_bool))),hAPP(v,w))**.
% 299.97/300.61 44593[0:Rew:256.0,44245.1,657.0,44245.1,341.0,44245.1] || -> equal(u,c_COMBK(c_False,tc_bool,v)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(w,v),u),c_COMBK(x,tc_fun(y,tc_bool),v),v,tc_fun(y,tc_bool)),x)**.
% 299.97/300.61 44606[0:SpR:44156.1,361.1] || equal(c_False,u) hBOOL(c_in(hAPP(c_lessequals(tc_bool),u),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.61 44704[0:SSi:44675.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(u,v),c_False) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool)))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool)),v))*.
% 299.97/300.61 44802[0:SpL:771.1,44668.0] || equal(hAPP(c_fequal(u),v),c_False) -> equal(c_COMBK(c_False,tc_bool,w),c_False) equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oimage(c_COMBK(v,u,w),w,u),tc_bool),c_False)**.
% 299.97/300.61 46429[0:SpR:104.2,138.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastLessThan(v,x,u),u)* -> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastLessThan(w,x,u),u)*.
% 299.97/300.61 46567[0:Rew:29170.1,46500.3] class_Orderings_Olinorder(tc_bool) || equal(c_False,u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(x,u,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(w,v,tc_bool))*.
% 299.97/300.61 46568[0:Rew:29718.1,46499.3] class_Orderings_Olinorder(tc_bool) || equal(c_False,u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w))* -> equal(c_SetInterval_Oord__class_OatLeastLessThan(x,u,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(w,v,tc_bool))*.
% 299.97/300.61 46569[0:Rew:8814.0,46487.3] class_Orderings_Olinorder(tc_bool) || equal(c_False,u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u))* -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,w,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,w,tc_bool))*.
% 299.97/300.61 46629[0:Res:1354.0,814.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(u)),c_Hoare__Mirabelle_Otriple_Otriple(v,c_Option_Othe(c_Com_Obody(w),tc_Com_Ocom),x,u)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(u)),c_Hoare__Mirabelle_Otriple_Otriple(v,c_Com_Ocom_OBODY(w),x,u)),u)*.
% 299.97/300.61 47684[0:Obv:47683.2] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,v,w))* c_Fun_Oinj__on(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w,y)* -> equal(u,x)*.
% 299.97/300.61 47686[0:Obv:47685.2] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,v,w))* c_Fun_Oinj__on(c_COMBK(y,z,x1),v,w,x2)* -> equal(u,x)*.
% 299.97/300.61 47689[0:Obv:47688.2] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,v,w))* c_Fun_Oinj__on(c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool),v,w,z)* -> equal(u,x)*.
% 299.97/300.61 47691[0:Obv:47690.2] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,v,w))* c_Fun_Oinj__on(c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool),v,w,z)* -> equal(u,x)*.
% 299.97/300.61 47693[0:Obv:47692.2] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,v,w))* c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool),v,w,z)* -> equal(u,x)*.
% 299.97/300.61 47695[0:Obv:47694.2] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,v,w))* c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool),v,w,z)* -> equal(u,x)*.
% 299.97/300.61 47698[0:Obv:47697.2] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,v,w))* c_Fun_Oinj__on(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),v,w,z)* -> equal(u,x)*.
% 299.97/300.61 49230[2:Res:323.2,47875.1] || hBOOL(c_in(u,v,w)) equal(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x),w),c_False)** -> hBOOL(c_in(u,x,w)).
% 299.97/300.61 49193[2:Res:27.2,47875.1] class_HOL_Oord(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,u)),w),x))* equal(hAPP(hAPP(c_lessequals(tc_fun(v,u)),w),x),c_False) -> .
% 299.97/300.61 49133[2:Res:264.2,47875.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) equal(hAPP(hAPP(c_lessequals(u),hAPP(y,v)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,y,x,u)),c_False)** -> .
% 299.97/300.61 49130[2:Res:434.2,47875.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) equal(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,y,x,u)),hAPP(y,v)),c_False)** -> .
% 299.97/300.61 49129[2:Res:221.3,47875.1] class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) equal(hAPP(hAPP(c_lessequals(u),v),c_Finite__Set_Olinorder__class_OMax(w,u)),c_False)** -> .
% 299.97/300.61 49127[2:Res:222.3,47875.1] class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) equal(hAPP(hAPP(c_lessequals(u),c_Finite__Set_Olinorder__class_OMin(w,u)),v),c_False)** -> .
% 299.97/300.61 49341[0:MRR:49296.1,676.0] class_OrderedGroup_Opordered__ab__group__add(tc_fun(u,tc_bool)) || equal(v,hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),x),w))*.
% 299.97/300.61 49568[0:SpR:294.1,1476.0] || hBOOL(c_in(u,v,w)) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,z,w,tc_fun(tc_Hoare__Mirabelle_Otriple(y),tc_bool))),hAPP(z,u),y)*.
% 299.97/300.61 49555[0:SpR:294.1,3804.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,hAPP(y,u),z))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,y,w,tc_fun(z,tc_bool)),x))*.
% 299.97/300.61 50692[0:Rew:9870.0,50676.0] || equal(hAPP(c_Set_Oimage(u,tc_bool,v),w),c_COMBK(c_False,tc_bool,v))** c_Fun_Oinj__on(u,w,tc_bool,v) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool),w)*.
% 299.97/300.61 50693[0:Rew:8989.0,50675.0] || equal(hAPP(c_Set_Oimage(u,tc_bool,v),w),c_COMBK(c_False,tc_bool,v))** c_Fun_Oinj__on(u,w,tc_bool,v) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool),w)*.
% 299.97/300.61 50694[0:Rew:9637.0,50674.0] || equal(hAPP(c_Set_Oimage(u,tc_bool,v),w),c_COMBK(c_False,tc_bool,v))** c_Fun_Oinj__on(u,w,tc_bool,v) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool),w)*.
% 299.97/300.61 50695[0:Rew:8816.0,50673.0] || equal(hAPP(c_Set_Oimage(u,tc_bool,v),w),c_COMBK(c_False,tc_bool,v))** c_Fun_Oinj__on(u,w,tc_bool,v) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool),w)*.
% 299.97/300.61 50951[2:Rew:2651.0,50846.0,341.0,50846.0] || hBOOL(hAPP(c_Set_Oinsert(u,v),c_False)) equal(hAPP(c_Set_Oinsert(u,v),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_fequal(v),u)))),c_False)** -> .
% 299.97/300.61 53844[2:Rew:803.2,53440.3] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_False) -> .
% 299.97/300.61 53858[2:Rew:104.2,53381.3] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(c_SetInterval_Oord__class_OatLeastLessThan(w,x,u))* equal(c_SetInterval_Oord__class_OatLeastLessThan(w,x,u),c_False) -> .
% 299.97/300.61 55501[2:SpR:50425.1,361.1] || hBOOL(u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.61 56473[0:SpL:515.0,24.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(u,v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),y)),w)* -> c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(u,v,w),x),w).
% 299.97/300.61 56472[0:SpL:515.0,23.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(u,v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),y)),w)* -> c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(u,v,w),y),w).
% 299.97/300.61 58276[0:SpR:54070.0,361.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),w,x))* -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),x,y),w),y))*.
% 299.97/300.61 58520[0:SpL:58351.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(u,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.61 58435[0:SpR:58351.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w,tc_fun(x,tc_bool))))*.
% 299.97/300.61 58434[0:SpR:58351.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w,tc_fun(x,tc_bool))),u))*.
% 299.97/300.61 58651[0:SpR:54071.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),u,u,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))**.
% 299.97/300.61 58644[0:SpR:54071.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x)),w,y),v),y))*.
% 299.97/300.61 59038[0:SpR:54074.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),v,v,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))**.
% 299.97/300.61 59031[0:SpR:54074.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),u)),w,y),v),y))*.
% 299.97/300.61 59293[0:SpR:54075.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),v,v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)))**.
% 299.97/300.61 59286[0:SpR:54075.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),u)),w,y),v),y))*.
% 299.97/300.61 59592[0:SpR:54440.0,361.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),w,x))* -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),x,y),w),y))*.
% 299.97/300.61 59741[0:SpR:54831.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),u,u,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)))**.
% 299.97/300.61 59734[0:SpR:54831.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x)),w,y),v),y))*.
% 299.97/300.61 60015[0:SpR:54836.0,361.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),w,x))* -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x,y),w),y))*.
% 299.97/300.61 60214[0:SpR:54837.0,361.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),w,x))* -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,y),w),y))*.
% 299.97/300.61 61549[0:SpR:61339.1,361.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(v,w,x))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),x,y),w),y))*.
% 299.97/300.61 61769[0:SpR:61326.1,4377.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_False))*.
% 299.97/300.61 62008[2:SSi:62002.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)),c_False)** -> .
% 299.97/300.61 62009[2:SSi:62001.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w)),c_False)** -> .
% 299.97/300.61 62010[2:SSi:61997.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),c_False)** -> .
% 299.97/300.61 62153[0:Rew:62049.0,61386.2] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)))* -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)).
% 299.97/300.61 62160[0:Rew:62049.0,29762.1] || equal(c_False,u) -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool),tc_bool,tc_bool),v),hAPP(c_fequal(tc_bool),c_False))**.
% 299.97/300.61 62164[0:Rew:62049.0,29213.1] || equal(c_False,u) -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool),tc_bool,tc_bool),v),hAPP(c_fequal(tc_bool),c_False))**.
% 299.97/300.61 62337[0:SSi:62336.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 62339[0:SSi:62338.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 62344[0:SSi:62343.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u)),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 63592[0:SpR:58781.1,4377.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,y),w),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 63766[0:SSi:63687.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.61 63767[0:SSi:63686.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)),v),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.61 63774[0:SSi:63623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.61 63851[2:SSi:63844.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))),c_False)** -> .
% 299.97/300.61 63852[2:SSi:63843.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)),v)),c_False)** -> .
% 299.97/300.61 63853[2:SSi:63820.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))),c_False)** -> .
% 299.97/300.61 63906[0:Res:59016.0,352.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_bool),w,tc_fun(x,tc_bool)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),y))))*.
% 299.97/300.61 63869[0:SpR:803.2,59016.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool))))*.
% 299.97/300.61 63868[0:SpR:802.2,59016.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool))))*.
% 299.97/300.61 63929[0:SSi:63897.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))))* equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),u).
% 299.97/300.61 64096[0:SpR:59170.1,4377.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),w,y),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 64276[0:SSi:64192.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.61 64277[0:SSi:64191.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u)),v),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.61 64278[0:SSi:64190.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),c_Orderings_Otop__class_Otop(tc_bool)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.61 64286[0:MRR:64207.1,927.0] || equal(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(u,v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w))),c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w)),c_False))*.
% 299.97/300.61 64348[2:SSi:64340.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v))),c_False)** -> .
% 299.97/300.61 64349[2:SSi:64339.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u)),v)),c_False)** -> .
% 299.97/300.61 64350[2:SSi:64338.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v))),c_False)** -> .
% 299.97/300.61 64943[2:SSi:64937.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),c_False)** -> .
% 299.97/300.61 64944[2:SSi:64932.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)),c_False)** -> .
% 299.97/300.61 64945[2:SSi:64914.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),c_False)** -> .
% 299.97/300.61 65007[0:Res:59997.0,352.0] || hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.61 64961[0:SpR:803.2,59997.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool))),v))*.
% 299.97/300.61 64960[0:SpR:802.2,59997.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool))),u))*.
% 299.97/300.61 65031[0:SSi:64998.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))),u))* equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),u).
% 299.97/300.61 66580[0:SSi:66512.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 66581[0:SSi:66511.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 66582[0:SSi:66510.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 66928[0:SSi:66861.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 66929[0:SSi:66860.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 66930[0:SSi:66836.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 67113[0:SSi:67077.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 67114[0:SSi:67076.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 67115[0:SSi:67072.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u)),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 67290[0:SSi:67219.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 67291[0:SSi:67218.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 67292[0:SSi:67194.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 67606[0:SSi:67533.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 67607[0:SSi:67532.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 67608[0:SSi:67531.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 67700[0:SSi:67673.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 67701[0:SSi:67668.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w)),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 67702[0:SSi:67650.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 67799[0:SSi:67765.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 67800[0:SSi:67760.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w)),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 67801[0:SSi:67742.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.61 67862[0:SSi:67849.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),c_Orderings_Otop__class_Otop(tc_bool))** -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.61 67863[0:SSi:67848.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),c_Orderings_Otop__class_Otop(tc_bool))** -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.61 67864[0:SSi:67844.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w),c_Orderings_Otop__class_Otop(tc_bool))** -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.61 67936[0:SSi:67924.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),c_Orderings_Otop__class_Otop(tc_bool))** -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.61 67937[0:SSi:67919.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w),c_Orderings_Otop__class_Otop(tc_bool))** -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.61 67938[0:SSi:67901.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),c_Orderings_Otop__class_Otop(tc_bool))** -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.61 67945[0:SpR:63959.0,4377.1] || hBOOL(c_in(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w,x),v),u))*.
% 299.97/300.61 68039[0:SSi:67997.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u))**.
% 299.97/300.61 68040[0:SSi:67968.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u))),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))**.
% 299.97/300.61 68060[0:SpR:65071.0,4377.1] || hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w,x),v),u))*.
% 299.97/300.61 68163[0:SSi:68116.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u))**.
% 299.97/300.61 68164[0:SSi:68087.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u))),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))**.
% 299.97/300.61 68906[0:SpR:64010.0,4377.1] || hBOOL(c_in(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w,x),v),u))*.
% 299.97/300.61 69006[0:SSi:68958.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u))**.
% 299.97/300.61 69007[0:SSi:68929.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))**.
% 299.97/300.61 69027[0:SpR:65131.0,4377.1] || hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w,x),v),u))*.
% 299.97/300.61 69135[0:SSi:69083.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u))**.
% 299.97/300.61 69136[0:SSi:69054.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))**.
% 299.97/300.61 69166[2:SpL:803.2,49184.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(hAPP(hAPP(c_Set_Oinsert(x,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),w),c_False)** -> .
% 299.97/300.61 69165[2:SpL:802.2,49184.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(hAPP(hAPP(c_Set_Oinsert(x,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),v),c_False)** -> .
% 299.97/300.61 70231[0:SpR:818.1,20174.0] || hBOOL(c_in(u,v,w)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,c_Orderings_Otop__class_Otop(tc_bool),w,y),w,y),v)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.61 70211[0:SpR:818.1,6050.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(x,y),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(z,u,x1,w,y),w,y),v)),x1))*.
% 299.97/300.61 71512[0:MRR:71511.3,28232.1] class_Orderings_Olinorder(tc_bool) || equal(c_False,u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(u,w,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_bool))*.
% 299.97/300.61 72604[0:MRR:72603.3,28232.1] class_Orderings_Olinorder(tc_bool) || equal(c_False,u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,w,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,tc_bool))*.
% 299.97/300.61 73938[0:SpL:803.2,73752.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),u),v_x)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,v_x,t_a),v_x)),c_False))* -> .
% 299.97/300.61 73937[0:SpL:802.2,73752.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),v_x),u)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,u,t_a),v_x)),c_False))* -> .
% 299.97/300.61 74872[0:SpR:1091.0,73586.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_COMBK(c_False,tc_bool,u))).
% 299.97/300.61 74864[0:SpR:279.0,73586.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))).
% 299.97/300.61 74863[0:SpR:167.1,73586.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),t_a)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),v)))*.
% 299.97/300.61 74862[0:SpR:168.1,73586.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),t_a)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),v)))*.
% 299.97/300.61 74860[0:SpR:1597.1,73586.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_fequal(u),v),t_a)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u),v)))*.
% 299.97/300.61 74858[0:SpR:342.1,73586.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),t_a)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),v)))*.
% 299.97/300.61 74857[0:SpR:343.1,73586.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),t_a)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),v)))*.
% 299.97/300.61 74847[0:SpR:5674.2,73586.1] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_Orderings_Obot__class_Obot(u))).
% 299.97/300.61 74846[0:SpR:5789.2,73586.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_Orderings_Obot__class_Obot(u))).
% 299.97/300.61 74840[0:SpR:5276.1,73586.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.61 74839[0:SpR:5145.1,73586.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.61 74832[0:SpR:5441.2,73586.1] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_Orderings_Otop__class_Otop(u))).
% 299.97/300.61 74831[0:SpR:5861.2,73586.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_Orderings_Otop__class_Otop(u))).
% 299.97/300.61 74923[0:Rew:2578.1,74816.2] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u),v)))*.
% 299.97/300.61 74811[0:SpR:2578.1,73586.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_fequal(u),v),t_a)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),v_x)))*.
% 299.97/300.61 75657[0:Res:75602.1,352.0] || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))) hBOOL(c_in(c_False,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Oord__class_Oless(tc_bool),w,tc_fun(x,tc_bool)),u))*.
% 299.97/300.61 77079[0:SpR:405.0,58783.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(u,v)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(u,w,tc_bool),hAPP(c_Set_Oinsert(v,w),x)))),hAPP(u,v))**.
% 299.97/300.61 77050[0:SpR:58783.0,34557.1] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))))* equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),u).
% 299.97/300.61 77341[0:SpR:405.0,59886.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(u,v)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(u,w,tc_bool),hAPP(c_Set_Oinsert(v,w),x)))),hAPP(u,v))**.
% 299.97/300.61 78862[0:Res:221.3,28275.1] class_Orderings_Olinorder(tc_bool) || hBOOL(c_in(u,v,tc_bool))* c_Finite__Set_Ofinite(v,tc_bool) equal(c_Finite__Set_Olinorder__class_OMax(v,tc_bool),c_False) -> equal(c_Finite__Set_Olinorder__class_OMax(v,tc_bool),u).
% 299.97/300.61 79399[2:SpL:770.0,49064.0] || equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),hAPP(c_fequal(u),w))),hAPP(c_Set_Oinsert(w,u),v)),c_False)** -> .
% 299.97/300.61 79579[0:SpL:167.1,78858.0] class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),c_False)** equal(c_False,v) -> equal(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),tc_bool)).
% 299.97/300.61 79578[0:SpL:168.1,78858.0] class_Lattices_Olattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),c_False)** equal(c_False,v) -> equal(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),tc_bool)).
% 299.97/300.61 79576[0:SpL:1597.1,78858.0] class_Orderings_Oorder(u) || equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w),c_False)** equal(c_False,v) -> equal(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_fequal(u),w),tc_bool)).
% 299.97/300.61 79574[0:SpL:342.1,78858.0] class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),c_False)** equal(c_False,v) -> equal(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),tc_bool)).
% 299.97/300.61 79573[0:SpL:343.1,78858.0] class_Lattices_Olattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),c_False)** equal(c_False,v) -> equal(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),tc_bool)).
% 299.97/300.61 79515[0:SpL:683.1,78858.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Orderings_Otop__class_Otop(u),c_False) equal(c_COMBK(c_False,tc_bool,u),c_False)** -> equal(c_COMBK(c_False,tc_bool,u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(u),tc_bool)).
% 299.97/300.61 79514[0:SpL:682.1,78858.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Orderings_Obot__class_Obot(u),c_False) equal(c_COMBK(c_False,tc_bool,u),c_False)** -> equal(c_COMBK(c_False,tc_bool,u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(u),tc_bool)).
% 299.97/300.61 79505[0:SpL:357.1,78858.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Orderings_Otop__class_Otop(u),c_False) equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(u),tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))**.
% 299.97/300.61 79504[0:SpL:441.1,78858.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Orderings_Obot__class_Obot(u),c_False) equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(u),tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))**.
% 299.97/300.61 79488[0:SpL:1597.1,78858.0] class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_fequal(u),v),w),c_False)** equal(c_False,v) -> equal(v,c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),tc_bool))*.
% 299.97/300.61 79487[0:SpL:2578.1,78858.0] class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_fequal(u),v),w),c_False)** equal(c_False,w) -> equal(w,c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),tc_bool))*.
% 299.97/300.61 79486[0:SpL:2594.1,78858.0] class_Orderings_Oorder(u) || equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w),c_False)** equal(c_False,v) -> equal(v,c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),tc_bool))*.
% 299.97/300.61 79483[0:SpL:2578.1,78858.0] class_Orderings_Oorder(u) || equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w),c_False)** equal(c_False,w) -> equal(w,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_fequal(u),v),tc_bool)).
% 299.97/300.61 80006[0:Rew:79926.1,79673.2] || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u),c_False) equal(hAPP(c_Set_Oinsert(c_False,tc_bool),u),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(tc_bool),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.61 80043[0:Rew:80038.1,79674.2,80024.1,79674.2] || equal(u,c_False) equal(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(tc_bool),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.61 80460[0:Rew:80024.1,80331.2] || hBOOL(c_in(c_False,u,v)) equal(hAPP(c_Set_Oinsert(w,v),u),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(w,v),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.61 80317[0:Res:1276.2,79861.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_False)** -> equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.61 80316[0:Res:1294.2,79861.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_False)** -> equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.61 80315[0:Res:1310.2,79861.0] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_False)** -> equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.61 80269[0:SpL:1581.0,79861.0] || hBOOL(hAPP(hAPP(c_fequal(u),c_False),v))* equal(hAPP(c_fequal(u),v),c_False) -> equal(hAPP(c_fequal(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.61 80231[0:SpL:678.0,79861.0] || hBOOL(c_COMBK(c_False,tc_bool,u)) equal(c_HOL_Ominus__class_Ominus(c_False,tc_fun(u,tc_bool)),c_False)** -> equal(c_HOL_Ominus__class_Ominus(c_False,tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.61 80470[0:Rew:80024.1,80425.2] class_Orderings_Oorder(u) || equal(hAPP(c_Set_Oinsert(v,u),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,u)),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,u),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.61 80471[0:Rew:80024.1,80383.2] || hBOOL(u) equal(hAPP(c_Set_Oinsert(v,w),c_COMBK(u,x,y)),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.61 81821[0:SpR:5293.1,24254.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(u),v)),hAPP(hAPP(c_Set_Oinsert(w,x),c_Set_Oinsert(v,u)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u))))*.
% 299.97/300.61 81820[0:SpR:5161.1,24254.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(u),v)),hAPP(hAPP(c_Set_Oinsert(w,x),c_Set_Oinsert(v,u)),c_SetInterval_Oord__class_OatLeastLessThan(y,y,u))))*.
% 299.97/300.61 81777[0:SpR:5278.2,24254.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OInf__class_OInf(u)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u))))*.
% 299.97/300.61 81776[0:SpR:5147.2,24254.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OInf__class_OInf(u)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,u))))*.
% 299.97/300.61 81753[0:SpR:5277.2,24254.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(u)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u))))*.
% 299.97/300.61 81752[0:SpR:5146.2,24254.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(u)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,u))))*.
% 299.97/300.61 81689[0:SpR:1523.1,24254.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),hAPP(hAPP(c_Set_Oinsert(w,x),c_Set_Oinsert(v,u)),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))))*.
% 299.97/300.61 81649[0:SpR:5398.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u)),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(x,tc_bool)),y))))*.
% 299.97/300.61 81645[0:SpR:11.1,24254.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y))))*.
% 299.97/300.61 81642[0:SpR:3.1,24254.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y))))*.
% 299.97/300.61 81631[0:SpR:2367.1,24254.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v))))*.
% 299.97/300.61 81630[0:SpR:2281.1,24254.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),v))))*.
% 299.97/300.61 81613[0:SpR:1091.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u))),x)))*.
% 299.97/300.61 81604[0:SpR:279.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))),x)))*.
% 299.97/300.61 81603[0:SpR:167.1,24254.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Set_Oinsert(x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w)),v)))*.
% 299.97/300.61 81602[0:SpR:168.1,24254.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Set_Oinsert(x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w)),v)))*.
% 299.97/300.61 81600[0:SpR:1597.1,24254.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w)),hAPP(hAPP(c_Set_Oinsert(x,y),hAPP(c_fequal(u),w)),v)))*.
% 299.97/300.61 81598[0:SpR:342.1,24254.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),hAPP(hAPP(c_Set_Oinsert(x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w)),v)))*.
% 299.97/300.61 81597[0:SpR:343.1,24254.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),hAPP(hAPP(c_Set_Oinsert(x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w)),v)))*.
% 299.97/300.61 81592[0:SpR:1119.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x)),c_COMBK(c_False,tc_bool,u))))*.
% 299.97/300.61 81581[0:SpR:5527.2,24254.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x)),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.61 81578[0:SpR:5674.2,24254.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u))),x)))*.
% 299.97/300.61 81577[0:SpR:5789.2,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u))),x)))*.
% 299.97/300.61 81576[0:SpR:5279.1,24254.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u))))*.
% 299.97/300.61 81575[0:SpR:5148.1,24254.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v)),c_SetInterval_Oord__class_OatLeastLessThan(y,y,u))))*.
% 299.97/300.61 81574[0:SpR:280.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))))*.
% 299.97/300.61 81558[0:SpR:5276.1,24254.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u))),v)))*.
% 299.97/300.61 81557[0:SpR:5145.1,24254.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,y,u))),v)))*.
% 299.97/300.61 81547[0:SpR:5441.2,24254.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u))),x)))*.
% 299.97/300.61 81546[0:SpR:5861.2,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u))),x)))*.
% 299.97/300.61 81544[0:SpR:5371.2,24254.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x)),c_Orderings_Otop__class_Otop(u))))*.
% 299.97/300.61 81512[0:SpR:1597.1,24254.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_fequal(u),v),w)),hAPP(hAPP(c_Set_Oinsert(x,y),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)),v)))*.
% 299.97/300.61 81511[0:SpR:2578.1,24254.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_fequal(u),v),w)),hAPP(hAPP(c_Set_Oinsert(x,y),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),w)))*.
% 299.97/300.61 81510[0:SpR:2594.1,24254.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w)),hAPP(hAPP(c_Set_Oinsert(x,y),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)),v)))*.
% 299.97/300.61 81507[0:SpR:2578.1,24254.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w)),hAPP(hAPP(c_Set_Oinsert(x,y),hAPP(c_fequal(u),v)),w)))*.
% 299.97/300.61 81460[0:SpR:770.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_fequal(v),w)),x)),hAPP(hAPP(c_Set_Oinsert(w,v),u),x)))*.
% 299.97/300.61 82044[0:SSi:82022.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(u,tc_bool)),c_False)),hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(u,tc_bool)),c_False))**.
% 299.97/300.61 82054[0:SpR:82006.0,361.1] || hBOOL(c_in(c_False,u,v)) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Set_Oinsert(w,x),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),v,y),u),y))*.
% 299.97/300.61 82120[0:SpR:82115.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,u)))*.
% 299.97/300.61 82119[0:SpR:82115.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,u)),c_False))*.
% 299.97/300.61 82383[0:SpR:82160.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.61 82901[2:SpL:770.0,49049.1] || hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_fequal(v),w)),x))* equal(hAPP(hAPP(c_Set_Oinsert(w,v),u),x),c_False) -> .
% 299.97/300.61 83042[2:SpL:326.1,49246.0] || hBOOL(c_in(u,v,w)) equal(c_in(hAPP(x,u),hAPP(c_Set_Oinsert(y,z),hAPP(c_Set_Oimage(x,w,z),v)),z),c_False)** -> .
% 299.97/300.61 83398[0:SpR:5293.1,22323.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(v,u),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u),w),z)),hAPP(c_fequal(u),v)))*.
% 299.97/300.61 83397[0:SpR:5161.1,22323.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(v,u),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(y,y,u),w),z)),hAPP(c_fequal(u),v)))*.
% 299.97/300.61 83352[0:SpR:5278.2,22323.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u),v),y)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.61 83351[0:SpR:5147.2,22323.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,x,u),v),y)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.61 83328[0:SpR:5277.2,22323.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u),v),y)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.61 83327[0:SpR:5146.2,22323.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,x,u),v),y)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.61 83264[0:SpR:1523.1,22323.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(v,u),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w),y)),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)))*.
% 299.97/300.61 83224[0:SpR:5398.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,x),hAPP(c_Set_Oinsert(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),y),w),z)),v))*.
% 299.97/300.61 83220[0:SpR:11.1,22323.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y),w),z)),v))*.
% 299.97/300.61 83217[0:SpR:3.1,22323.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y),w),z)),v))*.
% 299.97/300.61 83206[0:SpR:2367.1,22323.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v),w),z)),v))*.
% 299.97/300.61 83205[0:SpR:2281.1,22323.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),v),w),z)),v))*.
% 299.97/300.61 83188[0:SpR:1091.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_COMBK(c_False,tc_bool,u)))*.
% 299.97/300.61 83179[0:SpR:279.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))*.
% 299.97/300.61 83178[0:SpR:167.1,22323.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(y,w),z)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v)))*.
% 299.97/300.61 83177[0:SpR:168.1,22323.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(y,w),z)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v)))*.
% 299.97/300.61 83175[0:SpR:1597.1,22323.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_fequal(u),v),w,x),hAPP(c_Set_Oinsert(y,w),z)),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(y,y,u),v)))*.
% 299.97/300.61 83173[0:SpR:342.1,22323.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(y,w),z)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),v)))*.
% 299.97/300.61 83172[0:SpR:343.1,22323.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(y,w),z)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),v)))*.
% 299.97/300.61 83167[0:SpR:1119.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w,x),hAPP(c_Set_Oinsert(c_COMBK(c_False,tc_bool,u),w),y)),c_COMBK(c_False,tc_bool,u)))*.
% 299.97/300.61 83156[0:SpR:5527.2,22323.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),w),y)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.61 83153[0:SpR:5674.2,22323.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.61 83152[0:SpR:5789.2,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.61 83151[0:SpR:5279.1,22323.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u),w),z)),v))*.
% 299.97/300.61 83150[0:SpR:5148.1,22323.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(y,y,u),w),z)),v))*.
% 299.97/300.61 83149[0:SpR:280.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),w),y)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))*.
% 299.97/300.61 83133[0:SpR:5276.1,22323.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),w,x),hAPP(c_Set_Oinsert(y,w),z)),y))*.
% 299.97/300.61 83132[0:SpR:5145.1,22323.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),w,x),hAPP(c_Set_Oinsert(y,w),z)),y))*.
% 299.97/300.61 83122[0:SpR:5441.2,22323.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.61 83121[0:SpR:5861.2,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.61 83119[0:SpR:5371.2,22323.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),w),y)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.61 83087[0:SpR:1597.1,22323.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,x),hAPP(c_Set_Oinsert(y,w),z)),hAPP(hAPP(c_fequal(u),y),v)))*.
% 299.97/300.61 83086[0:SpR:2578.1,22323.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,x),hAPP(c_Set_Oinsert(y,w),z)),hAPP(hAPP(c_fequal(u),v),y)))*.
% 299.97/300.61 83085[0:SpR:2594.1,22323.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,x),hAPP(c_Set_Oinsert(y,w),z)),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(y,y,u),v)))*.
% 299.97/300.61 83082[0:SpR:2578.1,22323.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_fequal(u),v),w,x),hAPP(c_Set_Oinsert(y,w),z)),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),y)))*.
% 299.97/300.61 83530[0:SpR:326.1,83096.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(hAPP(x,u),tc_bool),y,z),hAPP(c_Set_Oimage(x,w,y),v)),c_False))*.
% 299.97/300.61 83736[0:SpR:21031.1,22323.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_Complete__Lattice_OSup__class_OSup(tc_bool),u),w)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 83732[0:SpR:21031.1,24254.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool))))*.
% 299.97/300.61 85381[0:SpL:818.1,84527.0] || hBOOL(c_in(u,v,w)) hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,y,w,tc_bool),w,tc_bool),v)))* -> hBOOL(y).
% 299.97/300.61 86269[0:Res:84385.1,352.0] || hBOOL(u) hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(x,y),w,tc_fun(z,tc_bool)),c_False))*.
% 299.97/300.61 86276[0:Rew:80024.1,86265.2] || hBOOL(u) equal(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.61 86701[0:SpR:27005.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w,x),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(y,v),u),w),z)),c_COMBK(c_False,tc_bool,v)))*.
% 299.97/300.61 86697[0:SpR:27005.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(x,tc_fun(u,tc_bool))),hAPP(c_Set_Oinsert(y,u),x))))*.
% 299.97/300.61 87406[0:Res:8.1,86811.0] class_Ring__and__Field_Oordered__idom(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* equal(w,v) hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),w)))*.
% 299.97/300.61 87405[0:Res:4.1,86811.0] class_Orderings_Olinorder(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* equal(v,w) hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),w)))*.
% 299.97/300.61 87387[0:Res:454.1,86811.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w)** hBOOL(w) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),v)))*.
% 299.97/300.61 87853[0:MRR:24093.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x)))*.
% 299.97/300.61 88474[0:SpR:818.1,87253.1] || hBOOL(c_in(u,v,w)) hBOOL(x) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(y,u,x,w,z),w,z),v)))*.
% 299.97/300.61 88522[0:Res:1493.1,10584.0] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x,v)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),y),x),v)*.
% 299.97/300.61 88521[0:Res:1447.1,10584.0] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x,v)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),y),v)*.
% 299.97/300.61 88562[0:SpR:22632.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(u,v,w),x,y),hAPP(c_Set_Oinsert(hAPP(c_fequal(v),z),x),x1)),hAPP(c_fequal(w),hAPP(u,z))))*.
% 299.97/300.61 88558[0:SpR:22632.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(u),hAPP(v,w))),hAPP(hAPP(c_Set_Oinsert(x,y),c_Set_Oimage(v,z,u)),hAPP(c_fequal(z),w))))*.
% 299.97/300.61 89043[0:SpR:61332.1,22324.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v),x)),w))*.
% 299.97/300.61 89031[0:SpR:13508.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),u),x)),v))*.
% 299.97/300.61 89030[0:SpR:13507.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),u),x)),v))*.
% 299.97/300.61 89017[0:SpR:13604.1,22324.0] || hBOOL(hAPP(u,c_False)) -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(x,tc_bool),u),v),y)),w))*.
% 299.97/300.61 89002[0:SpR:13719.1,22324.0] || -> equal(u,c_False) hBOOL(c_in(v,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),w),y)),x))*.
% 299.97/300.61 89001[2:SpR:50408.1,22324.0] || hBOOL(u) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),w),y)),x))*.
% 299.97/300.61 89000[0:SpR:9857.0,22324.0] || -> hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.61 88999[0:SpR:8976.0,22324.0] || -> hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.61 88998[0:SpR:9624.0,22324.0] || -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.61 88997[0:SpR:8803.0,22324.0] || -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.61 88984[0:SpR:5292.1,22324.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u),w),z)),x))*.
% 299.97/300.61 88983[0:SpR:5160.1,22324.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(y,y,u),w),z)),x))*.
% 299.97/300.61 88974[0:SpR:68995.1,22324.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),v),x)),w))*.
% 299.97/300.61 88969[0:SpR:68028.1,22324.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_fequal(tc_bool),u),v),x)),w))*.
% 299.97/300.61 88968[0:SpR:20255.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w)),u),x)),v))*.
% 299.97/300.61 88967[0:SpR:20259.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)),u),x)),v))*.
% 299.97/300.61 88966[0:SpR:20258.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)),u),x)),v))*.
% 299.97/300.61 88965[0:SpR:20257.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)),u),x)),v))*.
% 299.97/300.61 88964[0:SpR:20256.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)),u),x)),v))*.
% 299.97/300.61 88963[0:SpR:20170.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w)),u),x)),v))*.
% 299.97/300.61 88962[0:SpR:20204.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)),u),x)),v))*.
% 299.97/300.61 88961[0:SpR:20203.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)),u),x)),v))*.
% 299.97/300.61 88960[0:SpR:20202.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)),u),x)),v))*.
% 299.97/300.61 88959[0:SpR:20201.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)),u),x)),v))*.
% 299.97/300.61 88955[0:SpR:20260.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),u),x)),v))*.
% 299.97/300.61 88932[0:SpR:20230.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,x),hAPP(c_fequal(x),c_Orderings_Otop__class_Otop(tc_bool))),u),y)),v))*.
% 299.97/300.61 88929[0:SpR:20361.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_fequal(x),c_Orderings_Otop__class_Otop(tc_bool))),u),y)),v))*.
% 299.97/300.61 88915[0:SpR:1010.2,22324.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w),y)),x))*.
% 299.97/300.61 88914[0:SpR:1009.2,22324.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w),y)),x))*.
% 299.97/300.61 88912[0:SpR:251.0,22324.0] || -> hBOOL(c_in(hAPP(hAPP(u,v),w),hAPP(c_Set_Oimage(hAPP(c_COMBC(u,x,y,z),w),x1,x2),hAPP(c_Set_Oinsert(v,x1),x3)),x2))*.
% 299.97/300.61 88906[0:SpR:59886.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),x)),v),y)),w))*.
% 299.97/300.61 88903[0:SpR:58783.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),x)),v),y)),w))*.
% 299.97/300.61 88862[0:SpR:611.0,22324.0] || -> hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),x,y),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(u,v),w),x),z)),y))*.
% 299.97/300.61 88852[0:SpR:34558.1,22324.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w,x),hAPP(c_Set_Oinsert(u,w),y)),x))*.
% 299.97/300.61 88849[0:SpR:34557.1,22324.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w,x),hAPP(c_Set_Oinsert(u,w),y)),x))*.
% 299.97/300.61 88842[0:SpR:34556.1,22324.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.61 88838[0:SpR:34559.1,22324.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w,x),hAPP(c_Set_Oinsert(v,w),y)),x))*.
% 299.97/300.61 88768[0:SpR:5430.2,22324.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),w),y)),x))*.
% 299.97/300.61 88757[0:SpR:707.0,22324.0] || -> hBOOL(c_in(c_COMBK(c_False,tc_bool,u),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w,x),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),w),y)),x))*.
% 299.97/300.61 88753[0:SpR:5685.2,22324.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),w),y)),x))*.
% 299.97/300.61 88750[0:SpR:65.1,22324.0] || -> equal(u,v) hBOOL(c_in(hAPP(w,u),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(w,v,x,y,z),x1,x2),hAPP(c_Set_Oinsert(u,x1),x3)),x2))*.
% 299.97/300.61 88727[0:SpR:708.0,22324.0] || -> hBOOL(c_in(c_COMBK(c_False,tc_bool,u),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool)),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.61 88718[0:SpR:5538.2,22324.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),w,x),hAPP(c_Set_Oinsert(v,w),y)),x))*.
% 299.97/300.61 88717[0:SpR:5860.2,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),w,x),hAPP(c_Set_Oinsert(v,w),y)),x))*.
% 299.97/300.61 88716[0:SpR:14438.2,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),w,x),hAPP(c_Set_Oinsert(v,w),y)),x))*.
% 299.97/300.61 88714[0:SpR:5360.2,22324.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),w,x),hAPP(c_Set_Oinsert(v,w),y)),x))*.
% 299.97/300.61 88713[0:SpR:5792.2,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),w,x),hAPP(c_Set_Oinsert(v,w),y)),x))*.
% 299.97/300.61 88712[0:SpR:12371.2,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),w,x),hAPP(c_Set_Oinsert(v,w),y)),x))*.
% 299.97/300.61 89130[0:SpR:87864.1,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 89577[0:SSi:89532.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),tc_fun(u,tc_bool)),tc_fun(u,tc_bool))),w))*.
% 299.97/300.61 89578[0:SSi:89531.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),tc_fun(u,tc_bool)),tc_fun(u,tc_bool))),v))*.
% 299.97/300.61 89712[0:SSi:89705.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),x))))* -> .
% 299.97/300.61 89713[0:SSi:89704.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x),v))))* -> .
% 299.97/300.61 89948[0:SpL:243.0,18905.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x))),x))* -> .
% 299.97/300.61 90007[0:SSi:89998.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x))),w))* -> .
% 299.97/300.61 90098[0:SpL:294.1,19117.0] || hBOOL(c_in(u,v,w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,y,w,tc_fun(x,tc_bool))),hAPP(y,u)))* -> .
% 299.97/300.61 90191[2:SpL:803.2,88486.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(w) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_False)** -> .
% 299.97/300.61 90190[2:SpL:802.2,88486.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(v) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_False)** -> .
% 299.97/300.61 90509[0:SpR:244.0,5566.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),x))),v)**.
% 299.97/300.61 90678[0:SpL:90441.0,461.0] || equal(hAPP(u,v),v) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),v),y,z)* -> equal(hAPP(hAPP(w,u),v),v)**.
% 299.97/300.61 90763[0:SpR:90717.0,361.1] || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.61 90919[0:SpR:243.0,5568.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),v))),v)**.
% 299.97/300.61 91101[0:SpL:803.2,87685.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oinsert(w,u))).
% 299.97/300.61 91100[0:SpL:802.2,87685.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oinsert(v,u))).
% 299.97/300.61 91184[0:SpR:8036.0,5568.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w))**.
% 299.97/300.61 91303[0:SSi:91230.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x),v))),v)**.
% 299.97/300.61 91318[0:SSi:91317.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),v)),x)),v)**.
% 299.97/300.61 91413[0:SpL:405.0,89691.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(v,w,u),hAPP(c_Set_Oinsert(x,w),y))),hAPP(c_Set_Oimage(v,w,u),y)))* -> .
% 299.97/300.61 91498[0:SpR:8037.0,5568.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w))**.
% 299.97/300.61 91614[0:SSi:91562.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),x))),v)**.
% 299.97/300.61 91626[0:SSi:91625.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w)),x)),v)**.
% 299.97/300.61 92215[0:SpL:770.0,84466.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))) -> hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),hAPP(c_fequal(tc_bool),u))))*.
% 299.97/300.61 92266[0:SpR:770.0,84656.1] || hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),hAPP(c_fequal(tc_bool),v))))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),u))).
% 299.97/300.61 92454[0:SpR:1091.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u))),v_x)),c_False)**.
% 299.97/300.61 92446[0:SpR:279.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))),v_x)),c_False)**.
% 299.97/300.61 92445[0:SpR:167.1,86793.0] class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),v),tc_bool),hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),v_x)),c_False)**.
% 299.97/300.61 92444[0:SpR:168.1,86793.0] class_Lattices_Olattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),v),tc_bool),hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),v_x)),c_False)**.
% 299.97/300.61 92442[0:SpR:1597.1,86793.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u),v),tc_bool),hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_fequal(u),v)),v_x)),c_False)**.
% 299.97/300.61 92440[0:SpR:342.1,86793.0] class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),v),tc_bool),hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),v_x)),c_False)**.
% 299.97/300.61 92439[0:SpR:343.1,86793.0] class_Lattices_Olattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),v),tc_bool),hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),v_x)),c_False)**.
% 299.97/300.61 92430[0:SpR:5674.2,86793.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(u),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u))),v_x)),c_False)**.
% 299.97/300.61 92429[0:SpR:5789.2,86793.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(u),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u))),v_x)),c_False)**.
% 299.97/300.61 92423[0:SpR:5276.1,86793.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u))),v_x)),c_False)**.
% 299.97/300.61 92422[0:SpR:5145.1,86793.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u))),v_x)),c_False)**.
% 299.97/300.61 92415[0:SpR:5441.2,86793.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(u),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u))),v_x)),c_False)**.
% 299.97/300.61 92414[0:SpR:5861.2,86793.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(u),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u))),v_x)),c_False)**.
% 299.97/300.61 92510[0:Rew:2578.1,92399.1] class_Orderings_Oorder(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u),v),tc_bool),hAPP(hAPP(c_Set_Oinsert(w,t_a),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),v_x)),c_False)**.
% 299.97/300.61 92394[0:SpR:2578.1,86793.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),v_x),tc_bool),hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_fequal(u),v)),v_x)),c_False)**.
% 299.97/300.61 92351[0:SpR:770.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(t_a,tc_bool)),hAPP(c_fequal(t_a),v)),v_x),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),u),v_x)),c_False)**.
% 299.97/300.61 92336[0:SpR:86793.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(hAPP(u,v_x),tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Set_Oinsert(x,t_a),u),v_x),v),y)),w))*.
% 299.97/300.61 92895[0:SpR:9870.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oimage(u,tc_bool,v),tc_fun(w,tc_bool)),x),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool))),c_COMBK(c_False,tc_bool,v)))*.
% 299.97/300.61 92894[0:SpR:8989.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oimage(u,tc_bool,v),tc_fun(w,tc_bool)),x),c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool))),c_COMBK(c_False,tc_bool,v)))*.
% 299.97/300.61 92893[0:SpR:9637.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oimage(u,tc_bool,v),tc_fun(w,tc_bool)),x),c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool))),c_COMBK(c_False,tc_bool,v)))*.
% 299.97/300.61 92892[0:SpR:8816.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oimage(u,tc_bool,v),tc_fun(w,tc_bool)),x),c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool))),c_COMBK(c_False,tc_bool,v)))*.
% 299.97/300.61 92865[0:SpR:13523.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(u,tc_bool)),v),hAPP(c_lessequals(tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w)))),c_False))*.
% 299.97/300.61 92864[0:SpR:17217.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(u,tc_bool)),v),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)))),c_False))*.
% 299.97/300.61 92863[0:SpR:15401.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(u,tc_bool)),v),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)))),c_False))*.
% 299.97/300.61 92862[0:SpR:17170.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(u,tc_bool)),v),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)))),c_False))*.
% 299.97/300.61 92861[0:SpR:13524.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(u,tc_bool)),v),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)))),c_False))*.
% 299.97/300.61 92851[0:SpR:28358.1,24257.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(v,tc_bool)),w),hAPP(c_Set_Oinsert(u,tc_bool),x))),u))*.
% 299.97/300.61 92848[0:SpR:12724.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_Set_Oinsert(c_False,tc_bool),x)))),c_False))*.
% 299.97/300.61 92847[0:SpR:13633.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))))),c_False))*.
% 299.97/300.61 92843[0:SpR:12684.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),w))),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),w)))*.
% 299.97/300.61 92796[0:SpR:61326.1,24257.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OSup__class_OSup(tc_bool),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))),c_False))*.
% 299.97/300.61 92735[0:SpR:149.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_COMBB(u,v,w,x,y),tc_fun(z,tc_bool)),x1),x2)),hAPP(u,hAPP(v,x2))))*.
% 299.97/300.61 92734[0:SpR:424.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Fun_Ocomp(u,v,w,x,y),tc_fun(z,tc_bool)),x1),x2)),hAPP(u,hAPP(v,x2))))*.
% 299.97/300.61 92731[0:SpR:65131.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),tc_fun(v,tc_bool)),w),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)))),u))*.
% 299.97/300.61 92729[0:SpR:65071.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),tc_fun(v,tc_bool)),w),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)))),u))*.
% 299.97/300.61 92679[0:SpR:2678.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),tc_fun(w,tc_bool)),x),hAPP(c_Set_Oinsert(y,u),v))),v))*.
% 299.97/300.61 92586[0:SpR:691.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oimage(u,v,w),tc_fun(x,tc_bool)),y),c_COMBK(c_False,tc_bool,v))),c_COMBK(c_False,tc_bool,w)))*.
% 299.97/300.61 93158[0:SpR:8037.0,54506.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w))**.
% 299.97/300.61 93157[0:SpR:8036.0,54506.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),v))**.
% 299.97/300.61 93112[0:SpR:243.0,54506.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x))),x),x)**.
% 299.97/300.61 93018[0:SpR:54506.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),w))*.
% 299.97/300.61 93209[0:MRR:93160.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x)),u)),x))*.
% 299.97/300.61 93237[0:SSi:93236.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x))),w),w)**.
% 299.97/300.61 93368[0:SpL:93108.0,4686.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),hAPP(c_Set_Oinsert(y,x),u))),c_False))*.
% 299.97/300.61 93270[0:SpR:93108.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),tc_fun(x,tc_bool)),y),w)),w))*.
% 299.97/300.61 93256[0:SpR:93108.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),hAPP(c_Set_Oinsert(y,x),u)),w,z),v),u))*.
% 299.97/300.61 93407[0:Obv:93390.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),hAPP(c_Set_Oinsert(z,y),hAPP(v,x1)))),x1),x1)**.
% 299.97/300.61 93654[0:SpR:456.0,55320.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(v,w),x),y,w,tc_fun(u,tc_bool))),hAPP(y,v)),hAPP(y,v))**.
% 299.97/300.61 93551[0:SpR:55320.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),v))*.
% 299.97/300.61 93743[0:MRR:93693.1,87746.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x)),u)),w))*.
% 299.97/300.61 94829[0:Res:17248.0,483.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),hAPP(c_Set_Oinsert(x,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),v)))))*.
% 299.97/300.61 94828[0:Res:17248.0,482.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),hAPP(c_Set_Oinsert(x,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),y)))))*.
% 299.97/300.61 95040[0:SpR:759.0,10597.1] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x,v) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),u),w),x,v)*.
% 299.97/300.61 95515[0:Res:1441.1,10618.0] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),x,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),y),u)*.
% 299.97/300.61 95730[0:Res:1441.1,10619.0] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),x,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),y),u)*.
% 299.97/300.61 95894[0:SpR:13635.1,794.0] || -> hBOOL(c_in(u,v,w)) equal(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_Set_Oinsert(u,w),x)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x))**.
% 299.97/300.61 95870[0:SpR:13635.1,35.0] || -> hBOOL(c_in(u,v,w)) equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_fequal(w),u),v,x,y),c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)))**.
% 299.97/300.61 96088[0:Res:87828.1,166.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u))**.
% 299.97/300.61 96087[0:Res:87828.1,164.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u)),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u))**.
% 299.97/300.61 96183[0:Res:87846.1,166.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_False),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u))**.
% 299.97/300.61 96888[0:Res:87827.1,166.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u))**.
% 299.97/300.61 97049[0:Res:87839.1,166.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u))**.
% 299.97/300.61 97131[0:SpL:770.0,94804.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x)),v)* -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(v,tc_bool)),hAPP(c_fequal(v),w)),v)*.
% 299.97/300.61 97601[0:SpR:82006.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))),x),c_False)))*.
% 299.97/300.61 97596[0:SpR:9869.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(tc_bool),u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Set_Oinsert(u,tc_bool)),w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool))))*.
% 299.97/300.61 97595[0:SpR:8988.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(tc_bool),u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Set_Oinsert(u,tc_bool)),w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool))))*.
% 299.97/300.61 97594[0:SpR:9636.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(tc_bool),u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Set_Oinsert(u,tc_bool)),w),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool))))*.
% 299.97/300.61 97593[0:SpR:8815.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(tc_bool),u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Set_Oinsert(u,tc_bool)),w),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool))))*.
% 299.97/300.61 97582[0:SpR:13736.1,24259.0] || -> equal(u,c_False) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OInf__class_OInf(tc_bool)),w),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))))*.
% 299.97/300.61 97581[2:SpR:50425.1,24259.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OInf__class_OInf(tc_bool)),w),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))))*.
% 299.97/300.61 97512[0:SpR:20106.1,24259.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),c_COMBK(u,x,y))))*.
% 299.97/300.61 97490[0:SpR:90717.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.61 97481[0:SpR:20245.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.61 97473[0:SpR:20156.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.61 97470[0:SpR:20134.1,24259.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u))))*.
% 299.97/300.61 97458[0:SpR:15551.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)))))*.
% 299.97/300.61 97457[0:SpR:12263.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),hAPP(c_Set_Oinsert(c_False,tc_bool),u))))*.
% 299.97/300.61 97434[0:SpR:54836.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x))))*.
% 299.97/300.61 97433[0:SpR:54440.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),u))))*.
% 299.97/300.61 97392[0:SpR:1461.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(u),v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_Set_Oinsert(v,u)),x),hAPP(c_fequal(u),v))))*.
% 299.97/300.61 97374[0:SpR:54071.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w))),x),u)))*.
% 299.97/300.61 97371[0:SpR:54074.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u))),x),u)))*.
% 299.97/300.61 97366[0:SpR:2160.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))),x),u)))*.
% 299.97/300.61 97360[0:SpR:9853.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool))),x),u)))*.
% 299.97/300.61 97359[0:SpR:8972.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool))),x),u)))*.
% 299.97/300.61 97358[0:SpR:9620.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool))),x),u)))*.
% 299.97/300.61 97357[0:SpR:8799.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool))),x),u)))*.
% 299.97/300.61 97353[0:SpR:1581.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_fequal(u),v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),hAPP(c_fequal(u),w)),y),v)))*.
% 299.97/300.61 97348[0:SpR:1923.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),u)),x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))))*.
% 299.97/300.61 97337[0:SpR:187.1,24259.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w)),x),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.61 97335[0:SpR:12564.1,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w)),x),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.61 97334[0:SpR:186.1,24259.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u))),w),x)))*.
% 299.97/300.61 97323[0:SpR:9856.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u)),w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool))))*.
% 299.97/300.61 97322[0:SpR:8975.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u)),w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool))))*.
% 299.97/300.61 97321[0:SpR:9623.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u)),w),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool))))*.
% 299.97/300.61 97320[0:SpR:8802.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u)),w),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool))))*.
% 299.97/300.61 97310[0:SpR:685.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u)),x),c_COMBK(c_False,tc_bool,w))))*.
% 299.97/300.61 97309[0:SpR:684.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w))),x),u)))*.
% 299.97/300.61 97303[0:SpR:278.1,24259.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u))),w),x)))*.
% 299.97/300.61 97300[0:SpR:277.1,24259.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w)),x),c_Orderings_Otop__class_Otop(u))))*.
% 299.97/300.61 97298[0:SpR:12282.1,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w)),x),c_Orderings_Otop__class_Otop(u))))*.
% 299.97/300.61 97294[0:SpR:683.1,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OInf__class_OInf(u)),w),c_COMBK(c_False,tc_bool,u))))*.
% 299.97/300.61 97293[0:SpR:682.1,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(u)),w),c_COMBK(c_False,tc_bool,u))))*.
% 299.97/300.61 97291[0:SpR:699.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(u),v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_Set_Oinsert(v,u)),x),c_COMBK(c_False,tc_bool,u))))*.
% 299.97/300.61 97286[0:SpR:2659.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Set_Oinsert(w,u)),x),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))))*.
% 299.97/300.61 97284[0:SpR:357.1,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(u)),w),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))))*.
% 299.97/300.61 97283[0:SpR:441.1,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OInf__class_OInf(u)),w),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))))*.
% 299.97/300.61 97254[0:SpR:728.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(u),v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_COMBC(c_fequal(u),u,u,tc_bool)),x),v)))*.
% 299.97/300.61 97253[0:SpR:418.1,24259.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_Set_Oinsert(u,w)),y),v)))*.
% 299.97/300.61 98111[0:SpR:82006.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,x),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))),c_False)))*.
% 299.97/300.61 98106[0:SpR:9869.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(tc_bool),u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Set_Oinsert(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool))))*.
% 299.97/300.61 98105[0:SpR:8988.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(tc_bool),u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Set_Oinsert(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool))))*.
% 299.97/300.61 98104[0:SpR:9636.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(tc_bool),u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Set_Oinsert(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool))))*.
% 299.97/300.61 98103[0:SpR:8815.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(tc_bool),u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Set_Oinsert(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool))))*.
% 299.97/300.61 98092[0:SpR:13736.1,24260.0] || -> equal(u,c_False) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))))*.
% 299.97/300.61 98091[2:SpR:50425.1,24260.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))))*.
% 299.97/300.61 98022[0:SpR:20106.1,24260.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_COMBK(u,x,y))))*.
% 299.97/300.61 98000[0:SpR:90717.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.61 97991[0:SpR:20245.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.61 97983[0:SpR:20156.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.61 97980[0:SpR:20134.1,24260.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u))))*.
% 299.97/300.61 97968[0:SpR:15551.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)))))*.
% 299.97/300.61 97967[0:SpR:12263.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Set_Oinsert(c_False,tc_bool),u))))*.
% 299.97/300.61 97944[0:SpR:54836.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x))))*.
% 299.97/300.61 97943[0:SpR:54440.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),u))))*.
% 299.97/300.61 97902[0:SpR:1461.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(u),v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),c_Set_Oinsert(v,u)),hAPP(c_fequal(u),v))))*.
% 299.97/300.61 97884[0:SpR:54071.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x))),u)))*.
% 299.97/300.61 97881[0:SpR:54074.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),u))),u)))*.
% 299.97/300.61 97876[0:SpR:2160.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)))),u)))*.
% 299.97/300.61 97870[0:SpR:9853.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool))),u)))*.
% 299.97/300.61 97869[0:SpR:8972.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool))),u)))*.
% 299.97/300.61 97868[0:SpR:9620.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool))),u)))*.
% 299.97/300.61 97867[0:SpR:8799.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool))),u)))*.
% 299.97/300.61 97863[0:SpR:1581.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_fequal(u),v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),hAPP(c_fequal(u),w)),v)))*.
% 299.97/300.61 97858[0:SpR:1923.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),u)),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)))))*.
% 299.97/300.61 97847[0:SpR:187.1,24260.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x)),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.61 97845[0:SpR:12564.1,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x)),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.61 97844[0:SpR:186.1,24260.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u))),x)))*.
% 299.97/300.61 97833[0:SpR:9856.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool))))*.
% 299.97/300.61 97832[0:SpR:8975.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool))))*.
% 299.97/300.61 97831[0:SpR:9623.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool))))*.
% 299.97/300.61 97830[0:SpR:8802.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u)),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool))))*.
% 299.97/300.61 97820[0:SpR:685.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u)),c_COMBK(c_False,tc_bool,x))))*.
% 299.97/300.61 97819[0:SpR:684.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,x))),u)))*.
% 299.97/300.61 97813[0:SpR:278.1,24260.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u))),x)))*.
% 299.97/300.61 97810[0:SpR:277.1,24260.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x)),c_Orderings_Otop__class_Otop(u))))*.
% 299.97/300.61 97808[0:SpR:12282.1,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x)),c_Orderings_Otop__class_Otop(u))))*.
% 299.97/300.61 97804[0:SpR:683.1,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OInf__class_OInf(u)),c_COMBK(c_False,tc_bool,u))))*.
% 299.97/300.61 97803[0:SpR:682.1,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(u)),c_COMBK(c_False,tc_bool,u))))*.
% 299.97/300.61 97801[0:SpR:699.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(u),v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),c_Set_Oinsert(v,u)),c_COMBK(c_False,tc_bool,u))))*.
% 299.97/300.61 97796[0:SpR:2659.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Set_Oinsert(x,u)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))))*.
% 299.97/300.61 97794[0:SpR:357.1,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(u)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))))*.
% 299.97/300.61 97793[0:SpR:441.1,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OInf__class_OInf(u)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))))*.
% 299.97/300.61 97764[0:SpR:728.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(u),v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),c_COMBC(c_fequal(u),u,u,tc_bool)),v)))*.
% 299.97/300.61 97763[0:SpR:418.1,24260.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),c_Set_Oinsert(u,w)),v)))*.
% 299.97/300.61 97726[0:SpR:759.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),x)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w),x)))*.
% 299.97/300.61 98210[0:SpR:82158.1,28274.1] || equal(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_False) equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u),c_False) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),u))*.
% 299.97/300.61 98532[0:SpL:12203.2,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) hBOOL(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),u),v))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OSup__class_OSup(u))).
% 299.97/300.61 98604[0:SpR:64085.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),u),x)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 98597[0:SpR:64085.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Set_Oinsert(w,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool)))))*.
% 299.97/300.61 98658[0:SpL:613.0,12274.0] || c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(w,tc_fun(u,tc_bool)),x))),u)* -> c_Finite__Set_Ofinite(w,u).
% 299.97/300.61 98707[0:SSi:98690.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_fequal(t_a),v_x)),v_x)),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v)).
% 299.97/300.61 98708[0:SSi:98688.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_fequal(t_a),v_x)),v_x)))*.
% 299.97/300.61 98829[0:SpL:12493.2,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) hBOOL(hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),u),v))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OInf__class_OInf(u))).
% 299.97/300.61 98881[0:SpR:92404.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v_x,tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False)),v_x),u),x)),c_False))*.
% 299.97/300.61 98938[0:SpR:92438.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v_x,tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v_x)),v_x),u),x)),c_False))*.
% 299.97/300.61 98995[0:SpR:92468.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v_x,tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x)),v_x),u),x)),c_False))*.
% 299.97/300.61 99511[0:Res:99502.1,79861.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u))* equal(hAPP(c_lessequals(tc_bool),u),c_False) -> equal(hAPP(c_lessequals(tc_bool),u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.61 99806[0:SpL:803.2,99543.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),u),v_x)) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,v_x,t_a),v_x)))* -> .
% 299.97/300.61 99805[0:SpL:802.2,99543.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),v_x),u)) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,u,t_a),v_x)))* -> .
% 299.97/300.61 99978[0:Res:15143.2,755.1] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u),w,u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.61 100143[0:Res:15144.2,755.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u),w,u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.61 100174[0:Obv:100147.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),u)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),u))**.
% 299.97/300.61 100175[0:Obv:100146.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u)),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u))**.
% 299.97/300.61 100223[0:SpL:613.0,19855.0] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),v)),c_False))* -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),c_False).
% 299.97/300.61 100328[0:Res:87811.2,755.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),w,v),c_COMBK(c_False,tc_bool,v))** -> .
% 299.97/300.61 100612[0:Res:87814.2,755.1] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),w,v),c_COMBK(c_False,tc_bool,v))** -> .
% 299.97/300.61 100810[0:SpR:100666.1,4377.1] || equal(c_False,u) hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 101416[0:SpR:101313.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(u,tc_bool)),v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)))),c_False))*.
% 299.97/300.61 101400[0:SpR:101313.0,4377.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),u,v))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u),c_False))*.
% 299.97/300.61 101933[0:Res:87814.2,101661.0] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v))))*.
% 299.97/300.61 101932[0:Res:87811.2,101661.0] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v))))*.
% 299.97/300.61 101927[0:Res:29.2,101661.0] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_fequal(t_a),v_x),v_x)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v))).
% 299.97/300.61 101926[0:Res:28.2,101661.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_fequal(t_a),v_x),v_x)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v))).
% 299.97/300.61 101922[0:Res:5045.2,101661.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_fequal(t_a),v_x),v_x)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v))).
% 299.97/300.61 101904[0:Res:13047.2,101661.0] class_Orderings_Obot(u) class_Orderings_Olinorder(u) || -> equal(c_Orderings_Obot__class_Obot(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x)) hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.61 101903[0:Res:13297.2,101661.0] class_Orderings_Obot(u) class_Orderings_Oorder(u) || -> equal(hAPP(hAPP(c_fequal(t_a),v_x),v_x),c_Orderings_Obot__class_Obot(u)) hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.61 101902[0:Res:13347.0,101661.0] || -> equal(hAPP(hAPP(c_fequal(t_a),v_x),v_x),c_COMBK(c_False,tc_bool,u)) hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u))))*.
% 299.97/300.61 101892[0:Res:434.2,101661.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v_x,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_fequal(t_a),v_x),w,u))))*.
% 299.97/300.61 101776[0:SpL:167.1,101661.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))).
% 299.97/300.61 101775[0:SpL:168.1,101661.0] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))).
% 299.97/300.61 101772[0:SpL:342.1,101661.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))).
% 299.97/300.61 101771[0:SpL:343.1,101661.0] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))).
% 299.97/300.61 101733[0:SpL:1597.1,101661.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_fequal(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)))*.
% 299.97/300.61 101732[0:SpL:2578.1,101661.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_fequal(u),v),hAPP(hAPP(c_fequal(t_a),v_x),v_x)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)))*.
% 299.97/300.61 101728[0:SpL:2578.1,101661.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),hAPP(hAPP(c_fequal(t_a),v_x),v_x)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(u),v))).
% 299.97/300.61 102575[0:SpL:22632.0,13885.0] || c_Finite__Set_Ofinite(hAPP(c_fequal(u),hAPP(v,w)),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),c_Set_Oimage(v,z,u),y,tc_fun(x,tc_bool)),x)*.
% 299.97/300.61 102570[0:SpL:82006.0,13885.0] || c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_bool),u) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,x),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),v,tc_fun(u,tc_bool)),u)*.
% 299.97/300.61 102410[0:SpL:1523.1,13885.0] class_Orderings_Oorder(u) || c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),c_Set_Oinsert(v,u),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.61 102336[0:SpL:54831.0,13885.0] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x)),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 102335[0:SpL:54071.0,13885.0] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x)),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 102332[0:SpL:54074.0,13885.0] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),u)),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 102327[0:SpL:2160.0,13885.0] || c_Finite__Set_Ofinite(u,v)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 102322[0:SpL:54075.0,13885.0] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),u)),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 102321[0:SpL:9853.0,13885.0] || c_Finite__Set_Ofinite(u,v)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool)),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 102320[0:SpL:8972.0,13885.0] || c_Finite__Set_Ofinite(u,v)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool)),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 102319[0:SpL:9620.0,13885.0] || c_Finite__Set_Ofinite(u,v)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool)),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 102318[0:SpL:8799.0,13885.0] || c_Finite__Set_Ofinite(u,v)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool)),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 102314[0:SpL:1581.0,13885.0] || c_Finite__Set_Ofinite(hAPP(hAPP(c_fequal(u),v),w),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),hAPP(c_fequal(u),w),y,tc_fun(x,tc_bool)),x)*.
% 299.97/300.61 102308[0:SpL:1119.0,13885.0] || c_Finite__Set_Ofinite(c_COMBK(c_False,tc_bool,u),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 102290[0:SpL:280.0,13885.0] || c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 102270[0:SpL:684.0,13885.0] || c_Finite__Set_Ofinite(u,v)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,x)),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 102215[0:SpL:728.0,13885.0] || c_Finite__Set_Ofinite(hAPP(c_fequal(u),v),w)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),c_COMBC(c_fequal(u),u,u,tc_bool),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.61 102214[0:SpL:418.1,13885.0] || hBOOL(c_in(u,v,w))* c_Finite__Set_Ofinite(v,x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),c_Set_Oinsert(u,w),y,tc_fun(x,tc_bool)),x)*.
% 299.97/300.61 102211[0:SpL:61339.1,13885.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) c_Finite__Set_Ofinite(c_False,v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 102727[0:SpR:9857.0,26903.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)))).
% 299.97/300.61 102726[0:SpR:8976.0,26903.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)))).
% 299.97/300.61 102725[0:SpR:9624.0,26903.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)))).
% 299.97/300.61 102724[0:SpR:8803.0,26903.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)))).
% 299.97/300.61 102719[0:SpR:251.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_COMBC(u,v,w,x),y),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(u,v_x),y))))*.
% 299.97/300.61 102712[0:SpR:34558.1,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),t_a)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)) hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)))*.
% 299.97/300.61 102655[0:SpR:65.1,26903.1] || hBOOL(c_in(v_x,c_Fun_Ofun__upd(u,v,w,x,y),t_a))* -> equal(v_x,v) hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(u,v_x))))*.
% 299.97/300.61 102632[0:SpR:708.0,26903.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),c_COMBK(c_False,tc_bool,u)))).
% 299.97/300.61 102623[0:SpR:5538.2,26903.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.61 102622[0:SpR:5860.2,26903.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.61 102621[0:SpR:14438.2,26903.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.61 102619[0:SpR:5360.2,26903.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.61 102618[0:SpR:5792.2,26903.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.61 102617[0:SpR:12371.2,26903.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.61 102860[0:Res:24254.0,24826.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(u,v),hAPP(hAPP(c_Set_Oinsert(w,x),u),v),tc_bool),hAPP(hAPP(c_Set_Oinsert(w,x),u),v)))*.
% 299.97/300.61 102854[0:Res:59016.0,24826.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))))*.
% 299.97/300.61 102870[0:Obv:102808.0] class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Finite__Set_Olinorder__class_OMax(w,u),u),c_Finite__Set_Olinorder__class_OMax(w,u)))*.
% 299.97/300.61 102970[0:Res:59997.0,25011.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),u,tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))))*.
% 299.97/300.61 102955[0:Res:2650.0,25011.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_fequal(u),v),hAPP(c_Set_Oinsert(v,u),w),tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)))*.
% 299.97/300.61 103043[0:Obv:102976.0] class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Finite__Set_Olinorder__class_OMin(w,u),v,u),c_Finite__Set_Olinorder__class_OMin(w,u)))*.
% 299.97/300.61 103122[0:SpL:759.0,26331.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x)),v)* -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),x),v).
% 299.97/300.61 103203[0:Res:102750.2,79861.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),c_False,u),c_False)** -> equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),c_False,u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.61 103254[0:Res:102754.2,79861.0] class_Orderings_Obot(u) class_Orderings_Olinorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),c_False,u),c_False)** -> equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),c_False,u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.61 103373[0:Res:102935.2,79861.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_Orderings_Otop__class_Otop(u),u),c_False)** -> equal(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_Orderings_Otop__class_Otop(u),u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.61 103391[0:Res:102939.2,79861.0] class_Orderings_Otop(u) class_Orderings_Olinorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_Orderings_Otop__class_Otop(u),u),c_False)** -> equal(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_Orderings_Otop__class_Otop(u),u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.61 103420[0:SpR:102900.1,22324.0] class_Orderings_Olinorder(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),u),v),x)),w))*.
% 299.97/300.61 103518[0:Res:87848.1,755.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),u),hAPP(c_Set_Oinsert(v,w),x),u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.61 103539[0:SSi:103506.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,w),x)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),tc_fun(u,tc_bool))),hAPP(c_Set_Oinsert(v,w),x))**.
% 299.97/300.61 103540[0:SSi:103505.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),tc_fun(u,tc_bool))),hAPP(c_Set_Oinsert(v,w),x)),hAPP(c_Set_Oinsert(v,w),x))**.
% 299.97/300.61 103744[0:SpR:326.1,103531.0] || hBOOL(c_in(u,v,w)) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oimage(x,w,y),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(hAPP(x,u),y),tc_fun(tc_Hoare__Mirabelle_Otriple(z),tc_bool)),z)*.
% 299.97/300.61 103902[0:SSi:103882.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v))*.
% 299.97/300.61 103903[0:SSi:103880.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 105324[0:SpL:10929.0,107.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_fequal(u),w)))* c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(x,y),z),y)* -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.61 105311[0:SpL:10929.0,86811.0] || hBOOL(hAPP(c_fequal(u),v)) hBOOL(hAPP(c_Set_Oinsert(w,x),y))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oimage(c_COMBK(v,u,x),x,u)))*.
% 299.97/300.61 106119[0:SpL:9857.0,73923.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),c_False)) -> .
% 299.97/300.61 106118[0:SpL:8976.0,73923.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),c_False)) -> .
% 299.97/300.61 106117[0:SpL:9624.0,73923.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),c_False)) -> .
% 299.97/300.61 106116[0:SpL:8803.0,73923.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),c_False)) -> .
% 299.97/300.61 106111[0:SpL:251.0,73923.1] || hBOOL(c_in(v_x,hAPP(c_COMBC(u,v,w,x),y),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(u,v_x),y)),c_False))* -> .
% 299.97/300.61 106104[0:SpL:34558.1,73923.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.61 106047[0:SpL:65.1,73923.1] || hBOOL(c_in(v_x,c_Fun_Ofun__upd(u,v,w,x,y),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,v_x)),c_False)) -> equal(v_x,v).
% 299.97/300.61 106024[0:SpL:708.0,73923.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),c_False)) -> .
% 299.97/300.61 106015[0:SpL:5538.2,73923.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.61 106014[0:SpL:5860.2,73923.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.61 106013[0:SpL:14438.2,73923.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.61 106011[0:SpL:5360.2,73923.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.61 106010[0:SpL:5792.2,73923.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.61 106009[0:SpL:12371.2,73923.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.61 106267[0:SpR:106169.0,13347.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(u,tc_bool))),w))* equal(w,c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool))).
% 299.97/300.61 106532[0:SpL:106281.0,461.0] || equal(hAPP(u,v),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,u,x,y)* -> equal(hAPP(hAPP(w,c_SetInterval_Oord__class_OatLeastLessThan(z,z,tc_fun(x1,tc_bool))),v),v)**.
% 299.97/300.61 106506[0:SpL:106281.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_fun(x,tc_bool)),y,z)* -> equal(hAPP(hAPP(v,u),x1),x1)**.
% 299.97/300.61 106822[0:SpL:5228.0,696.0] || c_Finite__Set_Ofold__graph(u,v,c_SetInterval_Oord__class_OatLeastAtMost(w,x,tc_fun(tc_Hoare__Mirabelle_Otriple(y),tc_bool)),z,tc_fun(tc_Hoare__Mirabelle_Otriple(y),tc_bool),x1)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,w,y) equal(z,v).
% 299.97/300.61 106812[0:SpL:5228.0,4402.2] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,x).
% 299.97/300.61 106811[0:SpL:5228.0,4440.2] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,x).
% 299.97/300.61 106810[0:SpL:5228.0,4445.2] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,x).
% 299.97/300.61 106807[0:SpL:5228.0,4145.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool),tc_bool))) equal(u,c_SetInterval_Oord__class_OatLeastAtMost(w,x,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(x,w,v).
% 299.97/300.61 106785[2:SpL:5228.0,49047.0] || equal(hAPP(hAPP(c_lessequals(tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool))),x),c_False)** -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,u).
% 299.97/300.61 106742[0:SpR:5228.0,899.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x,c_False,y,z),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))**.
% 299.97/300.61 106729[0:SpR:5228.0,691.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(hAPP(c_Set_Oimage(x,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),y),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool))),c_COMBK(c_False,tc_bool,y))**.
% 299.97/300.61 106706[0:SpR:5228.0,13523.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_lessequals(tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))),c_False)**.
% 299.97/300.61 106950[0:SpR:106423.0,13347.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(u,tc_bool))),w))* equal(w,c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool))).
% 299.97/300.61 107178[0:SpL:106967.0,461.0] || equal(hAPP(u,v),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,u,x,y)* -> equal(hAPP(hAPP(w,c_SetInterval_Oord__class_OgreaterThanAtMost(z,z,tc_fun(x1,tc_bool))),v),v)**.
% 299.97/300.61 107152[0:SpL:106967.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(x,tc_bool)),y,z)* -> equal(hAPP(hAPP(v,u),x1),x1)**.
% 299.97/300.61 107231[0:Res:5850.1,597.0] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),w),x,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),w,v).
% 299.97/300.61 107590[0:Res:533.1,15248.2] class_Orderings_Otop(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),c_False))* -> equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u))),c_Orderings_Otop__class_Otop(u)).
% 299.97/300.61 108020[0:Obv:107988.0] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x))))* -> .
% 299.97/300.61 108021[0:Obv:107987.0] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v))))* -> .
% 299.97/300.61 108166[0:Obv:108147.0] class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x))))* -> .
% 299.97/300.61 108167[0:Obv:108146.0] class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v))))* -> .
% 299.97/300.61 108511[0:Obv:108493.0] class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x))))* -> .
% 299.97/300.61 108512[0:Obv:108492.0] class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v))))* -> .
% 299.97/300.61 108796[0:SpL:125.1,18166.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),w))))* -> .
% 299.97/300.61 108895[0:SSi:108882.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),tc_bool))),u))* -> .
% 299.97/300.61 108896[0:SSi:108881.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),tc_bool))),v))* -> .
% 299.97/300.61 108940[0:SSi:108928.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),tc_bool))))* -> .
% 299.97/300.61 108941[0:SSi:108927.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),tc_bool))))* -> .
% 299.97/300.61 109017[0:SpL:125.1,18167.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),w))))* -> .
% 299.97/300.61 109181[0:SpL:125.1,18168.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),w))))* -> .
% 299.97/300.61 109303[0:SpL:326.1,108008.0] || hBOOL(c_in(u,v,w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(x,w,tc_bool),v))),hAPP(x,u)))* -> .
% 299.97/300.61 109474[0:Obv:109447.0] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))),w))* -> .
% 299.97/300.61 109475[0:Obv:109446.0] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))),x))* -> .
% 299.97/300.61 109502[0:SpL:326.1,108272.0] || hBOOL(c_in(u,v,w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(x,u)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(x,w,tc_bool),v))))* -> .
% 299.97/300.61 109722[0:Obv:109696.0] class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))),w))* -> .
% 299.97/300.61 109723[0:Obv:109695.0] class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))),x))* -> .
% 299.97/300.61 109797[0:SpR:106741.1,22324.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x,y),hAPP(c_Set_Oinsert(z,x),x1)),y))*.
% 299.97/300.61 109998[0:Obv:109974.0] class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))),w))* -> .
% 299.97/300.61 109999[0:Obv:109973.0] class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))),x))* -> .
% 299.97/300.61 110176[0:SpL:79862.1,11217.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))** -> .
% 299.97/300.61 110167[0:SpL:79862.1,3071.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) equal(v,c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))* c_Finite__Set_Ofinite(v,u)* -> c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u)*.
% 299.97/300.61 110098[0:SpR:79862.1,1533.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(v,w,x,y,z),u,x1),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),x))*.
% 299.97/300.61 110090[0:SpR:79862.1,1426.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_False) -> hBOOL(c_in(w,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,x),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),x))*.
% 299.97/300.61 110089[0:SpR:79862.1,1425.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_False) -> hBOOL(c_in(w,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,x),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),x))*.
% 299.97/300.61 110088[0:SpR:79862.1,1547.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(v,w),u,x),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),hAPP(c_fequal(w),v)))*.
% 299.97/300.61 110087[0:SpR:79862.1,2699.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(v,w),u,x),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))))*.
% 299.97/300.61 110086[0:SpR:79862.1,2002.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),u,x),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),w))*.
% 299.97/300.61 110085[0:SpR:79862.1,1528.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u,x),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),w))*.
% 299.97/300.61 110084[0:SpR:79862.1,1410.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),u,x),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),x))*.
% 299.97/300.61 110070[0:SpR:79862.1,2699.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(v,u),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)))*.
% 299.97/300.61 110038[0:SpR:79862.1,1038.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),c_Orderings_Otop__class_Otop(u),v,w),c_Complete__Lattice_OSup__class_OSup(u))**.
% 299.97/300.61 110033[0:SpR:79862.1,1036.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),c_Orderings_Obot__class_Obot(u),v,w),c_Complete__Lattice_OInf__class_OInf(u))**.
% 299.97/300.61 110196[0:SSi:110130.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),tc_fun(u,tc_bool)),v))*.
% 299.97/300.61 110274[0:SpL:276.1,19099.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),w))),v))* -> .
% 299.97/300.61 110355[0:Res:110057.1,768.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(hAPP(c_Set_Oimage(c_COMBK(v,w,u),u,w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),hAPP(c_fequal(w),v))**.
% 299.97/300.61 110454[0:SpL:276.1,19100.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),w))),v))* -> .
% 299.97/300.61 110529[0:SpL:5228.0,110374.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool),tc_bool)),c_False) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),c_False)** -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,u).
% 299.97/300.61 110631[0:SpL:276.1,19101.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),w))),v))* -> .
% 299.97/300.61 111428[0:Rew:342.1,111419.3] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Lattices_Oupper__semilattice(v) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(v),c_Orderings_Obot__class_Obot(u)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.61 111415[0:Res:87803.2,738.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(c_Orderings_Obot__class_Obot(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),v),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.61 111414[0:Res:87803.2,737.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_Orderings_Obot__class_Obot(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),v),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.61 111661[0:Rew:342.1,111647.3] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Lattices_Oupper__semilattice(v) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(v),c_Orderings_Otop__class_Otop(u)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.61 111643[0:Res:87806.2,738.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(c_Orderings_Otop__class_Otop(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),v),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.61 111642[0:Res:87806.2,737.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_Orderings_Otop__class_Otop(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),v),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.61 111877[0:Res:87817.2,738.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(w,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v),v),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.61 111876[0:Res:87817.2,737.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v),v),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.61 112131[0:Res:87818.2,738.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(w,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v),v),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.61 112130[0:Res:87818.2,737.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v),v),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.61 112493[0:SpL:9857.0,99791.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool))) -> .
% 299.97/300.61 112492[0:SpL:8976.0,99791.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))) -> .
% 299.97/300.61 112491[0:SpL:9624.0,99791.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool))) -> .
% 299.97/300.61 112490[0:SpL:8803.0,99791.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))) -> .
% 299.97/300.61 112485[0:SpL:251.0,99791.1] || hBOOL(c_in(v_x,hAPP(c_COMBC(u,v,w,x),y),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(hAPP(u,v_x),y)))* -> .
% 299.97/300.61 112478[0:SpL:34558.1,99791.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.61 112420[0:SpL:65.1,99791.1] || hBOOL(c_in(v_x,c_Fun_Ofun__upd(u,v,w,x,y),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(u,v_x))) -> equal(v_x,v).
% 299.97/300.61 112395[0:SpL:708.0,99791.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_COMBK(c_False,tc_bool,u))) -> .
% 299.97/300.61 112386[0:SpL:5538.2,99791.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.61 112385[0:SpL:5860.2,99791.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.61 112384[0:SpL:14438.2,99791.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.61 112382[0:SpL:5360.2,99791.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.61 112381[0:SpL:5792.2,99791.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.61 112380[0:SpL:12371.2,99791.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.61 113214[0:SpR:125.1,5393.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),w))),v)**.
% 299.97/300.61 113314[0:Obv:113219.0] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x))),v)**.
% 299.97/300.61 113421[0:SpR:8806.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))),v_x)),c_False)**.
% 299.97/300.61 113420[0:SpR:8806.0,73586.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))).
% 299.97/300.61 113419[0:SpR:8806.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v))*.
% 299.97/300.61 113418[0:SpR:8806.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)))*.
% 299.97/300.61 113409[0:SpR:8806.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)))*.
% 299.97/300.61 113402[0:SpR:8806.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))),x)))*.
% 299.97/300.61 114016[0:Obv:113887.0] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v))),v)**.
% 299.97/300.61 114365[0:SpR:276.1,5562.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),w))),v)**.
% 299.97/300.61 114474[0:Obv:114374.0] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x))),v)**.
% 299.97/300.61 114938[0:Obv:114776.0] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),v))),v)**.
% 299.97/300.61 115412[0:SpL:8807.0,13885.0] || c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),x),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 115314[0:SpR:8807.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),u),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool),v),y)),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool)))*.
% 299.97/300.61 115307[0:SpR:8807.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),x)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))))*.
% 299.97/300.61 115305[0:SpR:8807.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),u))**.
% 299.97/300.61 115556[0:SpR:8979.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))),v_x)),c_False)**.
% 299.97/300.61 115555[0:SpR:8979.0,73586.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))).
% 299.97/300.61 115554[0:SpR:8979.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v))*.
% 299.97/300.61 115553[0:SpR:8979.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)))*.
% 299.97/300.61 115544[0:SpR:8979.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v,w),hAPP(c_Set_Oinsert(x,v),y)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)))*.
% 299.97/300.61 115537[0:SpR:8979.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))),x)))*.
% 299.97/300.61 115875[0:SpL:8980.0,13885.0] || c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),x),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.61 115772[0:SpR:8980.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),u),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool),v),y)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool)))*.
% 299.97/300.61 115765[0:SpR:8980.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),x)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))))*.
% 299.97/300.61 115763[0:SpR:8980.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),u))**.
% 299.97/300.61 1249[0:SpR:708.0,35.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool)),v,c_COMBK(c_False,tc_bool,u),w,x),c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool)))**.
% 299.97/300.61 2535[0:SpR:341.0,248.0] || -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.61 2534[0:SpR:341.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v),x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v))**.
% 299.97/300.61 2642[0:SpR:757.0,248.0] || -> hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_fequal(v),u)),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.61 3328[0:SpR:2651.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_fequal(u),w),hAPP(c_Set_Oinsert(w,u),v),x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v))**.
% 299.97/300.61 3513[0:Res:1486.0,1473.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(u)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),y))),x,u)*.
% 299.97/300.61 3512[0:Res:3270.0,1473.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),y))),x,v)*.
% 299.97/300.61 3546[0:Res:1486.0,1485.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(u)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),y))),y,u)*.
% 299.97/300.61 3545[0:Res:3270.0,1485.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),y))),y,v)*.
% 299.97/300.61 3609[0:SpR:3333.0,3396.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),u)),v)*.
% 299.97/300.61 3608[0:SpR:3333.0,3395.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),u)),x),v)*.
% 299.97/300.61 3827[0:Res:3804.1,531.0] || hBOOL(c_in(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),v,u))* -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),c_False)).
% 299.97/300.61 3851[0:Res:3816.1,531.0] || hBOOL(c_in(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),w,u))* -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),c_False)).
% 299.97/300.61 4370[0:SpR:149.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(hAPP(x,hAPP(y,u)),hAPP(c_Set_Oimage(c_COMBB(x,y,z,x1,x2),w,x3),v),x3))*.
% 299.97/300.61 4369[0:SpR:424.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(hAPP(x,hAPP(y,u)),hAPP(c_Set_Oimage(c_Fun_Ocomp(x,y,z,x1,x2),w,x3),v),x3))*.
% 299.97/300.61 4361[0:SpR:2678.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y))* -> hBOOL(c_in(w,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),y,z),x),z))*.
% 299.97/300.61 4322[0:SpR:691.0,361.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(c_in(c_COMBK(c_False,tc_bool,x),hAPP(c_Set_Oimage(c_Set_Oimage(y,u,x),w,z),v),z))*.
% 299.97/300.61 4559[0:SpR:1010.2,4377.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),x,y),w),v))*.
% 299.97/300.61 4558[0:SpR:1009.2,4377.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),x,y),w),v))*.
% 299.97/300.61 4557[0:SpR:251.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_COMBC(x,y,z,x1),x2),w,x3),v),hAPP(hAPP(x,u),x2)))*.
% 299.97/300.61 4548[0:SpR:611.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),y,z),x),hAPP(c_Set_Oinsert(u,v),w)))*.
% 299.97/300.61 4501[0:SpR:707.0,4377.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_fun(u,tc_bool)),w,y),v),c_COMBK(c_False,tc_bool,u)))*.
% 299.97/300.61 4496[0:SpR:65.1,4377.1] || hBOOL(c_in(u,v,w)) -> equal(u,x) hBOOL(hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(y,x,z,x1,x2),w,x3),v),hAPP(y,u)))*.
% 299.97/300.61 4487[0:SpR:708.0,4377.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,x),tc_fun(x,tc_bool)),w,y),v),c_COMBK(c_False,tc_bool,x)))*.
% 299.97/300.61 4617[0:Res:26.1,531.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_lessequals(tc_fun(u,tc_bool)),v))))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_False)).
% 299.97/300.61 4876[0:Res:3804.1,4686.0] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),z)),c_False))*.
% 299.97/300.61 4872[0:Res:156.2,4686.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_HOL_Oord__class_Oless(u),w)),c_False))*.
% 299.97/300.61 4855[0:Res:3816.1,4686.0] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),z),v)),c_False))*.
% 299.97/300.61 4813[0:SpL:251.0,4686.0] || hBOOL(hAPP(hAPP(u,v),w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_COMBC(u,z,x1,x2),w)),c_False))*.
% 299.97/300.61 4752[0:SpL:65.1,4686.0] || hBOOL(hAPP(u,v))* -> equal(v,w)* hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),c_Fun_Ofun__upd(u,w,z,x1,x2)),c_False))*.
% 299.97/300.61 4922[0:Res:4819.0,4686.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_lessequals(tc_fun(y,tc_bool)),z))),c_False))*.
% 299.97/300.61 5079[0:Res:533.1,496.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_False)) hBOOL(hAPP(v,w)) -> hBOOL(hAPP(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(tc_fun(u,tc_bool)),v)),w))*.
% 299.97/300.61 6205[0:SpL:613.0,4686.0] || hBOOL(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x)))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),y,z),c_Set_Oinsert(w,v)),c_False))*.
% 299.97/300.61 6197[0:SpL:613.0,4131.0] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x)),y))* -> hBOOL(c_in(y,hAPP(c_Set_Oinsert(u,v),x),v)) equal(y,w).
% 299.97/300.61 6181[0:SpR:3333.0,613.0] || -> equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),hAPP(c_fequal(v),x))),hAPP(c_Set_Oinsert(w,v),hAPP(c_Set_Oinsert(x,v),hAPP(c_fequal(v),u))))*.
% 299.97/300.61 6144[0:SpR:613.0,3059.1] || equal(hAPP(c_Set_Oinsert(u,v),w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) -> equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(x,v),w)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))**.
% 299.97/300.61 6132[0:SpR:613.0,418.1] || hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),x),w)) -> equal(hAPP(c_Set_Oinsert(v,w),hAPP(c_Set_Oinsert(u,w),x)),hAPP(c_Set_Oinsert(v,w),x))**.
% 299.97/300.61 6319[0:SpL:5360.2,4686.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || hBOOL(v)* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),c_False))*.
% 299.97/300.61 6276[0:SpR:5360.2,4377.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),x,y),w),v))*.
% 299.97/300.61 6356[0:SpR:5430.2,4377.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w,y),v),x))*.
% 299.97/300.61 6457[0:SpL:5538.2,4686.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || hBOOL(v)* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),c_False))*.
% 299.97/300.61 6421[0:SpR:5538.2,4377.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),x,y),w),v))*.
% 299.97/300.61 6489[0:SpR:5685.2,4377.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w,y),v),x))*.
% 299.97/300.61 6656[0:SpL:5792.2,4686.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(v)* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),c_False))*.
% 299.97/300.61 6611[0:SpR:5792.2,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),x,y),w),v))*.
% 299.97/300.61 6781[0:SpL:5860.2,4686.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(v)* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),c_False))*.
% 299.97/300.61 6743[0:SpR:5860.2,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),x,y),w),v))*.
% 299.97/300.61 6806[0:SpR:5160.1,4377.1] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(y,tc_fun(u,tc_bool)),x,z),w),y))*.
% 299.97/300.61 6848[0:SpR:5292.1,4377.1] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(y,tc_fun(u,tc_bool)),x,z),w),y))*.
% 299.97/300.61 7069[0:SpL:5371.2,4686.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x)),c_False))*.
% 299.97/300.61 7247[0:SpL:5527.2,4686.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x)),c_False))*.
% 299.97/300.61 9569[0:SpL:770.0,610.0] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),w),x)) -> hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),hAPP(c_fequal(v),u)),x))* equal(u,x).
% 299.97/300.61 9558[0:SpR:770.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oinsert(u,v),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),hAPP(c_fequal(v),u)),hAPP(c_Set_Oinsert(u,v),w),x,y),c_Set_Oinsert(u,v))**.
% 299.97/300.61 9549[0:SpR:770.0,1436.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(v)),x)),hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),w)),v)*.
% 299.97/300.61 10613[0:Res:156.1,528.0] class_Orderings_Olinorder(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)) || c_Hoare__Mirabelle_Ohoare__derivs(v,w,u)* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),v))* c_Hoare__Mirabelle_Ohoare__derivs(x,w,u)*.
% 299.97/300.61 10612[0:Res:518.1,528.0] class_Orderings_Olinorder(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)) || c_Hoare__Mirabelle_Ohoare__derivs(v,w,u)* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),v))* c_Hoare__Mirabelle_Ohoare__derivs(x,w,u)*.
% 299.97/300.61 10709[0:Res:156.1,527.0] class_Orderings_Olinorder(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)) || c_Hoare__Mirabelle_Ohoare__derivs(v,w,u)* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),x))* c_Hoare__Mirabelle_Ohoare__derivs(v,x,u)*.
% 299.97/300.61 10708[0:Res:518.1,527.0] class_Orderings_Olinorder(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)) || c_Hoare__Mirabelle_Ohoare__derivs(v,w,u)* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),x))* c_Hoare__Mirabelle_Ohoare__derivs(v,x,u)*.
% 299.97/300.61 10964[0:Res:6015.0,768.0] || -> equal(hAPP(c_Set_Oimage(c_COMBK(u,v,w),w,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Set_Oinsert(y,w),z))),hAPP(c_fequal(v),u))**.
% 299.97/300.61 10955[0:Res:5275.1,768.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_Set_Oimage(c_COMBK(v,w,x),x,w),hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u))),hAPP(c_fequal(w),v))**.
% 299.97/300.61 10954[0:Res:5144.1,768.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_Set_Oimage(c_COMBK(v,w,x),x,w),hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,y,u))),hAPP(c_fequal(w),v))**.
% 299.97/300.61 10948[0:Res:361.1,768.0] || hBOOL(c_in(u,v,w))* -> equal(hAPP(c_Set_Oimage(c_COMBK(x,y,z),z,y),hAPP(c_Set_Oimage(x1,w,z),v)),hAPP(c_fequal(y),x))**.
% 299.97/300.61 11207[0:Res:450.2,755.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w)** equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)) -> .
% 299.97/300.61 11206[0:Res:165.2,755.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v)** equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)) -> .
% 299.97/300.61 11200[0:Res:457.2,755.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u)) equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_Complete__Lattice_OInf__class_OInf(u),w),v,u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.61 11198[0:Res:516.2,755.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u)) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(c_Complete__Lattice_OSup__class_OSup(u),w),u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.61 11184[0:Res:533.1,755.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(u),v)),u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.61 11228[0:SSi:11204.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w)** equal(c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(u,tc_bool))) -> .
% 299.97/300.61 11275[0:Res:533.1,752.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_False)) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(u),v)),u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.61 11336[0:Res:533.1,751.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_False)) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(u),v)),u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.61 12258[0:SpL:276.1,370.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),w)),c_Orderings_Obot__class_Obot(u))** -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),w),c_Orderings_Obot__class_Obot(u)).
% 299.97/300.61 12200[0:SpR:276.1,1430.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),y))))*.
% 299.97/300.61 12304[0:SSi:12229.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),v)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(w,tc_fun(u,tc_bool)),v))))*.
% 299.97/300.61 12305[0:SSi:12209.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(x,tc_fun(u,tc_bool)),v)),w))*.
% 299.97/300.61 12306[0:SSi:12207.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Orderings_Oorder(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),tc_fun(u,tc_bool)),w)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),w))**.
% 299.97/300.61 12307[0:SSi:12206.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Orderings_Oorder(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),tc_fun(u,tc_bool)),w)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),w))**.
% 299.97/300.61 12535[0:SpL:125.1,22.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),w)),c_Orderings_Otop__class_Otop(u))** -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),w),c_Orderings_Otop__class_Otop(u)).
% 299.97/300.61 12490[0:SpR:125.1,1430.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),y))))*.
% 299.97/300.61 12581[0:SSi:12536.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(u,tc_bool)),w)),x))* -> hBOOL(hAPP(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),w),x)).
% 299.97/300.61 12689[0:SpR:773.1,35.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),hAPP(c_fequal(u),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),x,y),c_Complete__Lattice_OSup__class_OSup(u))**.
% 299.97/300.61 12808[0:SpR:772.1,35.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),hAPP(c_fequal(u),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x,y),c_Complete__Lattice_OInf__class_OInf(u))**.
% 299.97/300.61 13332[0:Res:450.2,69.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* equal(w,v).
% 299.97/300.61 13331[0:Res:165.2,69.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* equal(w,v).
% 299.97/300.61 13479[0:Res:156.1,486.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || hBOOL(c_in(v,w,u))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),x),w))* hBOOL(c_in(v,x,u))*.
% 299.97/300.61 13645[0:SpR:774.1,1430.0] || -> hBOOL(c_in(u,v,w)) hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(u,w),v),tc_fun(w,tc_bool)),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),v))*.
% 299.97/300.61 13824[0:Res:156.1,53.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || c_Fun_Oinj__on(v,w,u,x)* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),w),y))* c_Fun_Oinj__on(v,y,u,x)*.
% 299.97/300.61 13823[0:Res:518.1,53.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || c_Fun_Oinj__on(v,w,u,x)* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),y))* c_Fun_Oinj__on(v,y,u,x)*.
% 299.97/300.61 13918[0:Res:4253.2,106.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || c_Finite__Set_Ofinite(hAPP(v,c_False),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.61 13917[0:Res:4254.2,106.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || c_Finite__Set_Ofinite(hAPP(v,c_False),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.61 13916[0:Res:4255.2,106.0] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || c_Finite__Set_Ofinite(hAPP(v,c_False),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.61 13906[0:Res:3674.1,106.0] class_Orderings_Oorder(u) || c_Finite__Set_Ofinite(hAPP(v,w),x) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oinsert(y,u),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)),v,u,tc_fun(x,tc_bool)),x)*.
% 299.97/300.61 13898[0:Res:248.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,hAPP(v,w)),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(v,y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),u,z,tc_fun(x,tc_bool)),x)*.
% 299.97/300.61 13889[0:Res:404.1,106.0] || hBOOL(c_in(u,v,w))* c_Finite__Set_Ofinite(hAPP(x,u),y)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oinsert(z,w),v),x,w,tc_fun(y,tc_bool)),y)*.
% 299.97/300.61 14508[0:SSi:14489.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(c_in(u,v,t_a)) equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(u,t_a),v),v_x),tc_bool),hAPP(hAPP(c_fequal(t_a),u),v_x)),hAPP(v,v_x))**.
% 299.97/300.61 14510[0:SSi:14509.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(hAPP(u,v_x),tc_bool),hAPP(v,v_x)),tc_bool),hAPP(v,v_x)),hAPP(c_HOL_Ominus__class_Ominus(hAPP(u,v_x),tc_bool),hAPP(v,v_x)))**.
% 299.97/300.61 15151[0:Res:29.2,503.1] class_Orderings_Opreorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(v,w)),w))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(v,u)),w))*.
% 299.97/300.61 15150[0:Res:28.2,503.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(v,w)),w))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(v,u)),w))*.
% 299.97/300.61 15049[0:SpL:12550.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Otop__class_Otop(tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 15026[0:SpL:12625.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u)),v))*.
% 299.97/300.61 14975[0:SpL:34.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Fun_Ofun__upd(x,w,v,y,z),u)),w))*.
% 299.97/300.61 15160[0:SSi:15146.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(v,w)),w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(v,tc_fun(u,tc_bool))),w))*.
% 299.97/300.61 15292[0:SSi:15240.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)))* -> equal(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w),v).
% 299.97/300.61 15712[0:SSi:15695.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(u,v) -> equal(c_SetInterval_Oord__class_OatLeastAtMost(w,hAPP(c_Set_Oimage(x,v,y),u),tc_fun(y,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(y,tc_bool)))** c_Finite__Set_Ofinite(w,y).
% 299.97/300.61 15713[0:SSi:15683.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(hAPP(c_Set_Oimage(u,v,w),x),y,tc_fun(w,tc_bool)))* c_Finite__Set_Ofinite(x,v) -> c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(w,tc_bool)),y),w).
% 299.97/300.61 16046[0:SpR:13619.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,u)),c_False))*.
% 299.97/300.61 16039[0:SpR:12544.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(c_False,tc_bool),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_False))*.
% 299.97/300.61 16038[0:SpR:9924.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 16037[0:SpR:9032.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 16034[0:SpR:9690.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 16033[0:SpR:8858.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 15941[0:SpR:12625.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 15940[0:SpR:12637.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),w,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 15890[0:SpR:34.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Fun_Ofun__upd(y,v,z,x1,x2),x,u)),z))*.
% 299.97/300.61 15877[0:SpR:256.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),v),x,u)),v))*.
% 299.97/300.61 16083[0:SSi:16065.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w))* c_Fun_Oinj__on(x,hAPP(y,u),z,x1)* -> c_Fun_Oinj__on(x,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,y,w,tc_fun(z,tc_bool)),z,x1)*.
% 299.97/300.61 16310[0:SpR:13619.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,u)))*.
% 299.97/300.61 16303[0:SpR:12544.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(c_False,tc_bool),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 299.97/300.61 16302[0:SpR:9924.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 299.97/300.61 16301[0:SpR:9032.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 299.97/300.61 16298[0:SpR:9690.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 299.97/300.61 16297[0:SpR:8858.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 299.97/300.61 16204[0:SpR:12625.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),x,u)))*.
% 299.97/300.61 16203[0:SpR:12637.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),w,u)))*.
% 299.97/300.61 16153[0:SpR:34.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Fun_Ofun__upd(z,v,y,x1,x2),x,u)))*.
% 299.97/300.61 16140[0:SpR:256.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),v),x,u)))*.
% 299.97/300.61 16347[0:SSi:16326.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w))* c_Fun_Oinj__on(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,y,w,tc_fun(z,tc_bool)),z,x1)* -> c_Fun_Oinj__on(x,hAPP(y,u),z,x1)*.
% 299.97/300.61 17105[0:Res:412.1,486.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* hBOOL(c_in(x,v,u))* -> hBOOL(c_in(x,hAPP(c_Set_Oinsert(y,u),w),u))*.
% 299.97/300.61 17104[0:Res:412.1,53.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* c_Fun_Oinj__on(x,hAPP(c_Set_Oinsert(y,u),w),u,z)* -> c_Fun_Oinj__on(x,v,u,z)*.
% 299.97/300.61 17100[0:Res:412.1,528.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w))* c_Hoare__Mirabelle_Ohoare__derivs(v,x,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(y,tc_Hoare__Mirabelle_Otriple(u)),w),x,u)*.
% 299.97/300.61 17099[0:Res:412.1,527.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w))* c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(c_Set_Oinsert(y,tc_Hoare__Mirabelle_Otriple(u)),w),u)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,v,u)*.
% 299.97/300.61 18493[0:SSi:18424.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),x))*.
% 299.97/300.61 18494[0:SSi:18423.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),x))*.
% 299.97/300.61 18700[0:SSi:18662.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool)),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)).
% 299.97/300.61 18915[0:SSi:18881.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool)),x)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w)).
% 299.97/300.61 19264[0:Res:156.1,477.1] class_Orderings_Olinorder(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)))* hBOOL(hAPP(hAPP(c_lessequals(u),w),v)).
% 299.97/300.61 19263[0:Res:518.1,477.1] class_Orderings_Olinorder(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)))* hBOOL(hAPP(hAPP(c_lessequals(u),w),v)).
% 299.97/300.61 19291[0:SpR:13524.0,361.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.61 19322[0:SpR:13633.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.61 19623[0:Res:156.1,476.1] class_Orderings_Olinorder(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)))* hBOOL(hAPP(hAPP(c_lessequals(u),x),v)).
% 299.97/300.61 19622[0:Res:518.1,476.1] class_Orderings_Olinorder(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)))* hBOOL(hAPP(hAPP(c_lessequals(u),x),v)).
% 299.97/300.61 19640[0:SSi:19582.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),x)),w))*.
% 299.97/300.61 19695[0:SpR:15401.0,361.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.61 19800[0:Res:156.1,170.1] class_Orderings_Olinorder(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),x))* hBOOL(hAPP(hAPP(c_lessequals(u),x),w)).
% 299.97/300.61 19799[0:Res:518.1,170.1] class_Orderings_Olinorder(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),x))* hBOOL(hAPP(hAPP(c_lessequals(u),x),w)).
% 299.97/300.61 19842[0:SpR:12684.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u),v,w)) -> hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.61 19909[0:SpR:12724.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(c_False,tc_bool),v)),w,x))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),x,y),w),y))*.
% 299.97/300.61 20022[0:Res:156.1,169.1] class_Orderings_Olinorder(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),x))* hBOOL(hAPP(hAPP(c_lessequals(u),x),v)).
% 299.97/300.61 20021[0:Res:518.1,169.1] class_Orderings_Olinorder(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),x))* hBOOL(hAPP(hAPP(c_lessequals(u),x),v)).
% 299.97/300.61 20233[0:Res:8.1,20047.0] class_Ring__and__Field_Oordered__idom(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(tc_bool)),v))* equal(v,c_Orderings_Otop__class_Otop(tc_bool)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),v)),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.61 20232[0:Res:4.1,20047.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(tc_bool)),v))* equal(c_Orderings_Otop__class_Otop(tc_bool),v) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),v)),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.61 20214[0:Res:454.1,20047.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))** -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),v)),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.61 20274[0:SpR:20243.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,u)))*.
% 299.97/300.61 20273[0:SpR:20243.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 20289[0:SpR:20154.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 299.97/300.61 20288[0:SpR:20154.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 20317[0:SpR:20206.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_bool),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 299.97/300.61 20316[0:SpR:20206.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_bool),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 20332[0:SpR:20242.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 299.97/300.61 20331[0:SpR:20242.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.61 20588[0:SpR:20287.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.61 20607[0:SpR:13523.0,361.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.61 20842[0:SpR:13517.0,435.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 299.97/300.61 20838[0:SpR:12731.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(w,tc_bool))),c_False))*.
% 299.97/300.61 20830[0:SpR:13510.0,435.1] || hBOOL(c_in(hAPP(c_lessequals(tc_bool),c_False),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(w,tc_bool))),c_False))*.
% 299.97/300.61 20829[0:SpR:12718.0,435.1] || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_False),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(w,tc_bool))),c_False))*.
% 299.97/300.61 20799[0:SpR:15484.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,tc_fun(w,tc_bool))),c_False))*.
% 299.97/300.61 20790[0:SpR:15481.0,435.1] || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_False),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,tc_fun(w,tc_bool))),c_False))*.
% 299.97/300.61 20785[0:SpR:8998.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 299.97/300.61 20784[0:SpR:5331.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 299.97/300.61 20783[0:SpR:8825.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 299.97/300.61 20782[0:SpR:5198.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 299.97/300.61 20731[0:SpR:12550.0,435.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),v,tc_fun(w,tc_bool))),x))*.
% 299.97/300.61 20728[0:SpR:12624.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),w,tc_fun(x,tc_bool))),u))*.
% 299.97/300.61 20988[0:SpR:15486.1,361.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.61 21253[0:SpR:13517.0,265.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 299.97/300.61 21249[0:SpR:12731.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(w,tc_bool))))*.
% 299.97/300.61 21241[0:SpR:13510.0,265.1] || hBOOL(c_in(hAPP(c_lessequals(tc_bool),c_False),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(w,tc_bool))))*.
% 299.97/300.61 21240[0:SpR:12718.0,265.1] || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_False),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(w,tc_bool))))*.
% 299.97/300.61 21209[0:SpR:15484.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,tc_fun(w,tc_bool))))*.
% 299.97/300.61 21200[0:SpR:15481.0,265.1] || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_False),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,tc_fun(w,tc_bool))))*.
% 299.97/300.61 21195[0:SpR:8998.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 299.97/300.61 21194[0:SpR:5331.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 299.97/300.61 21193[0:SpR:8825.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 299.97/300.61 21192[0:SpR:5198.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 299.97/300.61 21141[0:SpR:12550.0,265.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),x),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),v,tc_fun(w,tc_bool))))*.
% 299.97/300.61 21138[0:SpR:12624.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),w,tc_fun(x,tc_bool))))*.
% 299.97/300.61 21303[0:SpR:17170.0,361.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.61 21339[0:SpR:17217.0,361.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.61 21377[0:SpR:20157.1,361.1] class_Orderings_Olinorder(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.61 21397[0:SpR:20158.1,361.1] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.61 21474[0:SpR:20159.1,361.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.61 21496[0:SpR:20160.1,361.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.61 21519[0:SpR:20161.1,361.1] class_Orderings_Oorder(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.61 21543[0:SpR:20162.1,361.1] class_Orderings_Opreorder(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.61 22014[0:Res:6062.0,352.0] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w)),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Set_Oinsert(z,v),y,tc_fun(x1,tc_bool)),w))*.
% 299.97/300.61 22010[0:Res:8390.0,352.0] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),z),y,tc_fun(x1,tc_bool)),u))*.
% 299.97/300.61 21999[0:Res:1537.0,352.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u,x),w,tc_fun(y,tc_bool)),z))*.
% 299.97/300.61 21998[0:Res:5274.1,352.0] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(tc_fun(u,tc_bool)),x,tc_fun(y,tc_bool)),z))*.
% 299.97/300.61 21997[0:Res:5143.1,352.0] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(tc_fun(u,tc_bool)),x,tc_fun(y,tc_bool)),z))*.
% 299.97/300.61 21985[0:Res:41.1,352.0] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_lessequals(u),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.61 21984[0:Res:37.1,352.0] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_lessequals(u),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.61 21975[0:Res:4012.1,352.0] class_Orderings_Obot(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(x,y),w,tc_fun(z,tc_bool)),c_False))*.
% 299.97/300.61 21971[0:Res:5783.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(x,y),w,tc_fun(z,tc_bool)),c_False))*.
% 299.97/300.61 21933[0:Res:4818.0,352.0] || hBOOL(c_in(hAPP(c_fequal(u),v),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),y,z),x,tc_fun(x1,tc_bool)),c_False))*.
% 299.97/300.61 21932[0:Res:4838.0,352.0] || hBOOL(c_in(hAPP(c_lessequals(tc_bool),u),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),w,tc_fun(z,tc_bool)),c_False))*.
% 299.97/300.61 21931[0:Res:4707.0,352.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),w,tc_fun(z,tc_bool)),c_False))*.
% 299.97/300.61 21927[0:Res:1928.0,352.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),u,y),w,tc_fun(z,tc_bool)),x))*.
% 299.97/300.61 21925[0:Res:1539.0,352.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_COMBK(x,y,z),u,x1),w,tc_fun(x2,tc_bool)),x))*.
% 299.97/300.61 21922[0:Res:1554.0,352.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),u,y),w,tc_fun(z,tc_bool)),x))*.
% 299.97/300.61 21921[0:Res:1560.0,352.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),u,y),w,tc_fun(z,tc_bool)),c_False))*.
% 299.97/300.61 21913[0:Res:232.1,352.0] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(y,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),z),v)))*.
% 299.97/300.61 21912[0:Res:229.1,352.0] class_Lattices_Olattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(y,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),z),v)))*.
% 299.97/300.61 21911[0:Res:233.1,352.0] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(y,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),z)))*.
% 299.97/300.61 21910[0:Res:228.1,352.0] class_Lattices_Olattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(y,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),z)))*.
% 299.97/300.61 21897[0:Res:320.0,352.0] || hBOOL(c_in(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_lessequals(tc_fun(v,tc_bool)),y,tc_fun(z,tc_bool)),u))*.
% 299.97/300.61 21895[0:Res:42.1,352.0] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_lessequals(u),y,tc_fun(z,tc_bool)),v))*.
% 299.97/300.61 21894[0:Res:36.1,352.0] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_lessequals(u),y,tc_fun(z,tc_bool)),v))*.
% 299.97/300.61 21864[0:SpL:2160.0,352.0] || hBOOL(u) hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.61 21862[0:SpL:9853.0,352.0] || hBOOL(u) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.61 21861[0:SpL:8972.0,352.0] || hBOOL(u) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.61 21860[0:SpL:9620.0,352.0] || hBOOL(u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.61 21859[0:SpL:8799.0,352.0] || hBOOL(u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.61 21855[0:SpL:1581.0,352.0] || hBOOL(hAPP(hAPP(c_fequal(u),v),w))* hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_fequal(u),y,tc_fun(z,tc_bool)),v))*.
% 299.97/300.61 21847[0:SpL:1923.0,352.0] || hBOOL(u) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),w,tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))))*.
% 299.97/300.61 21838[0:SpL:187.1,352.0] class_Lattices_Obounded__lattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Olower__semilattice__class_Oinf(u),x,tc_fun(y,tc_bool)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.61 21836[0:SpL:12564.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Olower__semilattice__class_Oinf(u),x,tc_fun(y,tc_bool)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.61 21835[0:SpL:186.1,352.0] class_Lattices_Obounded__lattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Olower__semilattice__class_Oinf(u),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.61 21826[0:SpL:9856.0,352.0] || hBOOL(u) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool)))*.
% 299.97/300.61 21825[0:SpL:8975.0,352.0] || hBOOL(u) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool)))*.
% 299.97/300.61 21824[0:SpL:9623.0,352.0] || hBOOL(u) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool)))*.
% 299.97/300.61 21823[0:SpL:8802.0,352.0] || hBOOL(u) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool)))*.
% 299.97/300.61 21819[0:SpL:685.0,352.0] || hBOOL(u) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),w,tc_fun(y,tc_bool)),c_COMBK(c_False,tc_bool,x)))*.
% 299.97/300.61 21818[0:SpL:684.0,352.0] || hBOOL(u) hBOOL(c_in(c_COMBK(c_False,tc_bool,v),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.61 21814[0:SpL:278.1,352.0] class_Lattices_Obounded__lattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Oupper__semilattice__class_Osup(u),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.61 21811[0:SpL:277.1,352.0] class_Lattices_Obounded__lattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(u),x,tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.61 21809[0:SpL:12282.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(u),x,tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.61 21779[0:SpL:13517.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.61 21775[0:SpL:12731.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool)),u))*.
% 299.97/300.61 21765[0:SpL:13510.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(hAPP(c_lessequals(tc_bool),c_False),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool)),u))*.
% 299.97/300.61 21764[0:SpL:12718.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(hAPP(c_fequal(tc_bool),c_False),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool)),u))*.
% 299.97/300.61 21733[0:SpL:15484.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool)),u))*.
% 299.97/300.61 21718[0:SpL:15481.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(hAPP(c_fequal(tc_bool),c_False),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool)),u))*.
% 299.97/300.61 21713[0:SpL:8998.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.61 21712[0:SpL:5331.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.61 21711[0:SpL:8825.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.61 21710[0:SpL:5198.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.61 21659[0:SpL:12550.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.61 21656[0:SpL:12624.0,352.0] || hBOOL(hAPP(u,v))* hBOOL(c_in(u,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.61 22026[0:MRR:21597.1,442.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))* hBOOL(c_in(u,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oinsert(y,v),x,tc_fun(z,tc_bool)),x1))*.
% 299.97/300.61 22031[0:SpR:20209.1,361.1] || hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v,w))* -> equal(c_Orderings_Otop__class_Otop(tc_bool),u) hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.61 22055[0:SpR:20246.1,361.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.61 22076[0:SpR:20247.1,361.1] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.61 22098[0:SpR:20248.1,361.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.61 22127[0:SpR:20249.1,361.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.61 22147[0:SpR:20250.1,361.1] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.61 22168[0:SpR:20251.1,361.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.61 22217[0:SpR:20303.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w,x))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y),w),y))*.
% 299.97/300.61 22241[0:SpR:20330.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_bool),v)),w,x))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y),w),y))*.
% 299.97/300.61 22264[0:SpR:20345.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v)),w,x))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y),w),y))*.
% 299.97/300.61 22625[0:SpL:405.0,196.0] || c_Fun_Oinj__on(u,hAPP(c_Set_Oimage(v,w,x),hAPP(c_Set_Oinsert(y,w),z)),x,x1)* -> c_Fun_Oinj__on(u,hAPP(c_Set_Oimage(v,w,x),z),x,x1).
% 299.97/300.61 22624[0:SpL:405.0,597.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oimage(v,w,tc_Hoare__Mirabelle_Otriple(x)),hAPP(c_Set_Oinsert(y,w),z)),x)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oimage(v,w,tc_Hoare__Mirabelle_Otriple(x)),z),x).
% 299.97/300.61 22623[0:SpL:405.0,767.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oimage(v,w,tc_Hoare__Mirabelle_Otriple(x)),hAPP(c_Set_Oinsert(y,w),z)),x)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(x)),hAPP(v,y)),x).
% 299.97/300.61 22607[0:SpR:14872.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),hAPP(c_Set_Oinsert(c_False,v),x)),hAPP(c_Set_Oinsert(u,w),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),x)))*.
% 299.97/300.61 22411[0:SpR:14632.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),hAPP(c_Set_Oinsert(u,v),x)),hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),x)))*.
% 299.97/300.61 22410[0:SpR:14531.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_False,tc_bool),u,v),hAPP(c_Set_Oinsert(w,u),x)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_False,tc_bool),u,v),x)))*.
% 299.97/300.61 22361[0:SpR:2659.0,405.0] || -> equal(hAPP(c_Set_Oinsert(hAPP(u,v),w),hAPP(c_Set_Oimage(u,x,w),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)))),hAPP(c_Set_Oimage(u,x,w),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))))**.
% 299.97/300.61 22351[0:SpR:405.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(hAPP(u,v),w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),hAPP(c_Set_Oimage(u,z,w),hAPP(c_Set_Oinsert(v,z),x1))))*.
% 299.97/300.61 22340[0:SpR:405.0,1436.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Set_Oimage(w,x,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Set_Oinsert(y,x),z))),hAPP(c_Set_Oimage(w,x,tc_Hoare__Mirabelle_Otriple(v)),z),v)*.
% 299.97/300.61 22319[0:SpR:405.0,404.1] || hBOOL(c_in(u,hAPP(c_Set_Oimage(v,w,x),y),x)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(v,w,x),hAPP(c_Set_Oinsert(z,w),y)),x))*.
% 299.97/300.61 23090[0:SpL:13619.0,461.0] || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(u,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v,w)* -> equal(hAPP(hAPP(u,c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.61 23021[0:SpL:714.1,461.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(c_fequal(u),v),v) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_fequal(u),x,y)* -> equal(hAPP(hAPP(w,c_Complete__Lattice_OSup__class_OSup(u)),v),v)**.
% 299.97/300.61 23020[0:SpL:710.1,461.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(c_fequal(u),v),v) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_fequal(u),x,y)* -> equal(hAPP(hAPP(w,c_Complete__Lattice_OInf__class_OInf(u)),v),v)**.
% 299.97/300.61 22978[0:SpL:5302.1,461.0] class_Orderings_Oorder(u) || equal(hAPP(v,w),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,c_SetInterval_Oord__class_OgreaterThanAtMost(x1,x1,u)),w),w)**.
% 299.97/300.61 22977[0:SpL:5169.1,461.0] class_Orderings_Oorder(u) || equal(hAPP(v,w),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,c_SetInterval_Oord__class_OatLeastLessThan(x1,x1,u)),w),w)**.
% 299.97/300.62 22963[0:SpL:13738.1,461.0] || equal(hAPP(u,v),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,u,x,y)* -> equal(z,c_False) equal(hAPP(hAPP(w,c_SetInterval_Oord__class_OatLeastAtMost(z,c_False,tc_bool)),v),v)**.
% 299.97/300.62 22938[0:SpL:13495.1,461.0] || hBOOL(hAPP(u,c_False)) equal(hAPP(v,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,y)* -> equal(hAPP(hAPP(w,v),u),u)**.
% 299.97/300.62 22780[0:SpL:12625.0,461.0] || equal(hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),w,x)* -> equal(hAPP(hAPP(v,u),y),y)**.
% 299.97/300.62 22744[0:SpL:5302.1,461.0] class_Orderings_Oorder(u) || equal(hAPP(v,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u),y,z)* -> equal(hAPP(hAPP(w,v),x1),x1)**.
% 299.97/300.62 22743[0:SpL:5169.1,461.0] class_Orderings_Oorder(u) || equal(hAPP(v,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_SetInterval_Oord__class_OatLeastLessThan(x,x,u),y,z)* -> equal(hAPP(hAPP(w,v),x1),x1)**.
% 299.97/300.62 22729[0:SpL:13738.1,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_SetInterval_Oord__class_OatLeastAtMost(w,c_False,tc_bool),x,y)* -> equal(w,c_False) equal(hAPP(hAPP(v,u),z),z)**.
% 299.97/300.62 22720[0:SpL:50.1,461.0] class_Lattices_Olower__semilattice(u) || equal(hAPP(v,w),w) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),y,z)* -> equal(hAPP(hAPP(x,v),w),w)**.
% 299.97/300.62 22719[0:SpL:1919.1,461.0] class_Lattices_Olattice(u) || equal(hAPP(v,w),w) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),y,z)* -> equal(hAPP(hAPP(x,v),w),w)**.
% 299.97/300.62 22718[0:SpL:12821.1,461.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(v,w),w) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),y,z)* -> equal(hAPP(hAPP(x,v),w),w)**.
% 299.97/300.62 22717[0:SpL:255.1,461.0] class_Lattices_Oupper__semilattice(u) || equal(hAPP(v,w),w) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y,z)* -> equal(hAPP(hAPP(x,v),w),w)**.
% 299.97/300.62 22716[0:SpL:1918.1,461.0] class_Lattices_Olattice(u) || equal(hAPP(v,w),w) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y,z)* -> equal(hAPP(hAPP(x,v),w),w)**.
% 299.97/300.62 22715[0:SpL:12701.1,461.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(v,w),w) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y,z)* -> equal(hAPP(hAPP(x,v),w),w)**.
% 299.97/300.62 23169[0:SpR:20163.1,361.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.62 23194[0:SpR:20167.1,361.1] class_Orderings_Obot(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.62 23220[0:SpR:20177.0,361.1] || hBOOL(c_in(c_Finite__Set_Ofold1Set(u,hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool)),v),w,x))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y),w),y))*.
% 299.97/300.62 23307[0:Rew:424.0,23237.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(hAPP(x,hAPP(y,u)),hAPP(c_Set_Oimage(x,z,x1),hAPP(c_Set_Oimage(y,w,z),v)),x1))*.
% 299.97/300.62 23314[0:SpR:20252.1,361.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.62 23339[0:SpR:20253.1,361.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.62 23393[0:SpR:46.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(u,v,w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),hAPP(c_Set_Oimage(c_COMBB(u,z,v,w,x1),x1,w),x2)))*.
% 299.97/300.62 23540[0:SpR:8816.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(c_in(c_COMBK(c_False,tc_bool,x),hAPP(c_Set_Oimage(c_Set_Oimage(y,tc_bool,x),w,z),v),z))*.
% 299.97/300.62 23669[0:SpR:8989.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(c_in(c_COMBK(c_False,tc_bool,x),hAPP(c_Set_Oimage(c_Set_Oimage(y,tc_bool,x),w,z),v),z))*.
% 299.97/300.62 23878[0:SpR:367.1,257.1] class_Lattices_Obounded__lattice(tc_fun(t_a,u)) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(v,v_x)),hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),v_x)),hAPP(v,v_x))**.
% 299.97/300.62 23876[0:SpR:12280.1,257.1] class_Complete__Lattice_Ocomplete__lattice(tc_fun(t_a,u)) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(v,v_x)),hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),v_x)),hAPP(v,v_x))**.
% 299.97/300.62 23875[0:SpR:366.1,257.1] class_Lattices_Obounded__lattice(tc_fun(t_a,u)) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),v_x)),hAPP(v,v_x)),hAPP(v,v_x))**.
% 299.97/300.62 23942[0:SSi:23877.1,621.1,622.1,627.1] class_Orderings_Obot(tc_fun(t_a,u)) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(v,v_x)),hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),v_x)),hAPP(v,v_x))**.
% 299.97/300.62 23943[0:SSi:23874.1,621.1,622.1,627.1] class_Orderings_Obot(tc_fun(t_a,u)) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),v_x)),hAPP(v,v_x)),hAPP(v,v_x))**.
% 299.97/300.62 23944[0:SSi:23873.1,621.1,622.1,627.1] class_Complete__Lattice_Ocomplete__lattice(tc_fun(t_a,u)) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),v_x)),hAPP(v,v_x)),hAPP(v,v_x))**.
% 299.97/300.62 24264[0:SSi:24225.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(x,u),y)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,x,w,tc_fun(z,tc_bool)),y)))*.
% 299.97/300.62 24265[0:SSi:24224.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,x,w,tc_fun(y,tc_bool)),z)),hAPP(hAPP(x,u),z)))*.
% 299.97/300.62 24266[0:SSi:24223.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(v,x)),hAPP(hAPP(c_Set_Oinsert(y,u),w),x)))*.
% 299.97/300.62 24619[0:SpL:24543.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),x,tc_fun(z,tc_bool)),u))*.
% 299.97/300.62 24606[0:SpR:24543.0,265.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),w,tc_fun(x,tc_bool))))*.
% 299.97/300.62 24605[0:SpR:24543.0,435.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 24713[0:SpR:9637.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(c_in(c_COMBK(c_False,tc_bool,x),hAPP(c_Set_Oimage(c_Set_Oimage(y,tc_bool,x),w,z),v),z))*.
% 299.97/300.62 24763[0:SpR:9870.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(c_in(c_COMBK(c_False,tc_bool,x),hAPP(c_Set_Oimage(c_Set_Oimage(y,tc_bool,x),w,z),v),z))*.
% 299.97/300.62 24852[0:SpR:803.2,8390.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),w))*.
% 299.97/300.62 24831[0:SpR:803.2,2652.0] class_Orderings_Olinorder(tc_Hoare__Mirabelle_Otriple(u)) || hBOOL(hAPP(hAPP(c_lessequals(tc_Hoare__Mirabelle_Otriple(u)),v),w)) -> c_Hoare__Mirabelle_Ohoare__derivs(c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_Hoare__Mirabelle_Otriple(u)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(u)),w),u)*.
% 299.97/300.62 24830[0:SpR:803.2,1374.0] class_Orderings_Olinorder(tc_Hoare__Mirabelle_Otriple(u)) || hBOOL(hAPP(hAPP(c_lessequals(tc_Hoare__Mirabelle_Otriple(u)),v),w)) -> c_Hoare__Mirabelle_Ohoare__derivs(c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_Hoare__Mirabelle_Otriple(u)),c_SetInterval_Oord__class_OatLeastLessThan(v,w,tc_Hoare__Mirabelle_Otriple(u)),u)*.
% 299.97/300.62 25037[0:SpR:802.2,8390.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),v))*.
% 299.97/300.62 25016[0:SpR:802.2,2652.0] class_Orderings_Olinorder(tc_Hoare__Mirabelle_Otriple(u)) || hBOOL(hAPP(hAPP(c_lessequals(tc_Hoare__Mirabelle_Otriple(u)),v),w)) -> c_Hoare__Mirabelle_Ohoare__derivs(c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_Hoare__Mirabelle_Otriple(u)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(u)),v),u)*.
% 299.97/300.62 25015[0:SpR:802.2,1374.0] class_Orderings_Olinorder(tc_Hoare__Mirabelle_Otriple(u)) || hBOOL(hAPP(hAPP(c_lessequals(tc_Hoare__Mirabelle_Otriple(u)),v),w)) -> c_Hoare__Mirabelle_Ohoare__derivs(c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_Hoare__Mirabelle_Otriple(u)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,tc_Hoare__Mirabelle_Otriple(u)),u)*.
% 299.97/300.62 25231[0:SSi:25218.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oimage(w,u,u),v)),v)** c_Finite__Set_Ofinite(v,u) -> c_Fun_Oinj__on(w,v,u,u).
% 299.97/300.62 25253[0:SpR:405.0,10592.1] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oimage(u,v,tc_Hoare__Mirabelle_Otriple(w)),x),y,w) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oimage(u,v,tc_Hoare__Mirabelle_Otriple(w)),hAPP(c_Set_Oinsert(z,v),x)),y,w)*.
% 299.97/300.62 25244[0:SpR:770.0,10592.1] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),w)),x,v)* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(v)),u),x,v).
% 299.97/300.62 25271[0:SpR:20201.0,4377.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 25321[0:SpR:20203.0,4377.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 25359[0:SpR:20256.0,4377.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 25394[0:SpR:20258.0,4377.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 25479[0:Res:13377.0,352.0] || hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u,v)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),v,tc_fun(y,tc_bool)),c_False))*.
% 299.97/300.62 25485[0:SpR:13507.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_False))*.
% 299.97/300.62 25508[0:SpR:13508.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_False))*.
% 299.97/300.62 25616[0:SpR:20170.0,4377.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 25644[0:SpR:20202.0,4377.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 25682[0:SpR:20204.0,4377.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 25722[0:SpR:20255.0,4377.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 25777[0:Res:26.1,801.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_fequal(u),w)))* -> equal(v,hAPP(c_fequal(u),w)) equal(v,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.62 25803[0:SpR:20257.0,4377.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 25841[0:SpR:20259.0,4377.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 25881[0:SpR:20260.0,4377.1] || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 25903[0:SpR:20361.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool))),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y),w),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 25949[0:Res:1273.2,17.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.62 25948[0:Res:1293.2,17.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.62 25947[0:Res:1313.2,17.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.62 25937[0:Res:1276.2,17.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),v))*.
% 299.97/300.62 25936[0:Res:1294.2,17.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),v))*.
% 299.97/300.62 25935[0:Res:1310.2,17.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),v))*.
% 299.97/300.62 26282[0:SpR:411.0,341.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)),hAPP(c_Set_Oinsert(w,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),v)))*.
% 299.97/300.62 26275[0:SpR:411.0,3804.1] || hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),x),w)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),y)),u))*.
% 299.97/300.62 26746[0:SpL:410.0,195.0] || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)),u)* -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),x),u).
% 299.97/300.62 26717[0:SpR:2651.0,410.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),hAPP(c_fequal(u),x))),hAPP(c_Set_Oinsert(w,u),hAPP(c_Set_Oinsert(x,u),v)))**.
% 299.97/300.62 26639[0:SpR:410.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),y),hAPP(c_Set_Oinsert(u,v),z))))*.
% 299.97/300.62 26620[0:SpR:410.0,194.1] || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),u) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(x,u),w)),u)*.
% 299.97/300.62 26613[0:SpR:410.0,1374.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(u)),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),x),u)*.
% 299.97/300.62 26586[0:SpR:410.0,3816.1] || hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),x),w)) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),y),x)),u))*.
% 299.97/300.62 26785[0:Rew:411.0,26584.0] || -> equal(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x)),hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),w)))*.
% 299.97/300.62 26811[0:SSi:26716.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),x))),hAPP(c_Set_Oinsert(w,u),v))**.
% 299.97/300.62 26812[0:SSi:26713.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x),v))),hAPP(c_Set_Oinsert(w,u),v))**.
% 299.97/300.62 26864[0:SpR:803.2,26483.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),u),v_x)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,v_x,t_a),v_x),tc_bool),v)))*.
% 299.97/300.62 26863[0:SpR:802.2,26483.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),v_x),u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,u,t_a),v_x),tc_bool),v)))*.
% 299.97/300.62 26984[0:SpL:266.1,5078.0] || hBOOL(c_in(u,v,w))* hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(w,tc_bool)),v),y))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,w),x),y))*.
% 299.97/300.62 26930[0:SpR:266.1,320.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(w,tc_bool)),v)),hAPP(c_Set_Oinsert(u,w),x)))*.
% 299.97/300.62 27038[0:SpR:8803.0,35.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),v,c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),w,x),c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.62 27033[0:SpR:8803.0,4377.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),w,y),v),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool)))*.
% 299.97/300.62 27107[0:SpR:8976.0,35.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),v,c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),w,x),c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.62 27102[0:SpR:8976.0,4377.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),w,y),v),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool)))*.
% 299.97/300.62 27243[0:Res:425.2,496.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(y,z,u),x))*.
% 299.97/300.62 27255[0:Obv:27204.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),hAPP(c_fequal(u),x)))*.
% 299.97/300.62 27266[0:Res:13033.0,352.0] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),w,tc_fun(z,tc_bool)),c_False))*.
% 299.97/300.62 27312[0:SpR:405.0,13604.1] || hBOOL(hAPP(hAPP(c_Set_Oimage(u,v,tc_bool),w),c_False)) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(u,v,tc_bool),hAPP(c_Set_Oinsert(x,v),w))),c_False)**.
% 299.97/300.62 27272[0:SpR:13604.1,4377.1] || hBOOL(hAPP(u,c_False)) hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),u),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),x,y),w),c_False))*.
% 299.97/300.62 27364[0:Res:13702.1,352.0] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> equal(u,c_False) hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.62 27539[0:SpL:341.0,14495.0] || hBOOL(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v_x),v),tc_bool),hAPP(w,v_x)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),v_x)).
% 299.97/300.62 27942[0:Res:4253.2,331.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(c_in(c_False,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(u),w,tc_fun(x,tc_bool)),x))*.
% 299.97/300.62 27941[0:Res:4254.2,331.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(c_in(c_False,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(u),w,tc_fun(x,tc_bool)),x))*.
% 299.97/300.62 27940[0:Res:4255.2,331.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(c_in(c_False,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(u),w,tc_fun(x,tc_bool)),x))*.
% 299.97/300.62 27930[0:Res:3674.1,331.1] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,x))* -> hBOOL(c_in(v,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oinsert(y,u),x,tc_fun(u,tc_bool)),u))*.
% 299.97/300.62 27923[0:Res:248.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(c_in(hAPP(x,y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(x,u,z),w,tc_fun(z,tc_bool)),z))*.
% 299.97/300.62 27914[0:Res:404.1,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(v,x,y))* -> hBOOL(c_in(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Set_Oinsert(z,w),y,tc_fun(w,tc_bool)),w))*.
% 299.97/300.62 27906[0:SpL:14872.0,331.1] || hBOOL(c_in(c_False,u,v)) hBOOL(c_in(w,x,y)) -> hBOOL(c_in(w,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_HOL_Ominus__class_Ominus(x,tc_bool),v,tc_fun(y,tc_bool)),y))*.
% 299.97/300.62 27678[0:SpL:14632.0,331.1] || hBOOL(c_in(u,v,w)) hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(u,tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.62 27677[0:SpL:14531.0,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(c_False,tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.62 28192[0:MRR:28178.3,5316.1] class_Orderings_Oorder(u) || equal(hAPP(c_Set_Oinsert(v,u),w),hAPP(c_fequal(u),v))** -> hBOOL(c_in(v,w,u)) equal(w,c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u))*.
% 299.97/300.62 28193[0:MRR:28177.3,5184.1] class_Orderings_Oorder(u) || equal(hAPP(c_Set_Oinsert(v,u),w),hAPP(c_fequal(u),v))** -> hBOOL(c_in(v,w,u)) equal(w,c_SetInterval_Oord__class_OatLeastLessThan(x,x,u))*.
% 299.97/300.62 28398[0:SpR:326.1,6015.0] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(hAPP(x,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),z),hAPP(c_Set_Oimage(x,w,y),v)),y))*.
% 299.97/300.62 28390[0:SpR:326.1,2648.1] || hBOOL(c_in(u,v,w))* hBOOL(hAPP(hAPP(c_fequal(x),hAPP(y,u)),z))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(y,w,x),v),z))*.
% 299.97/300.62 28378[0:SpR:326.1,2650.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(c_fequal(x),hAPP(y,u))),hAPP(c_Set_Oimage(y,w,x),v)))*.
% 299.97/300.62 30080[0:SpR:12750.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(u,c_False),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x))**.
% 299.97/300.62 30078[0:SpR:13532.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x),hAPP(c_lessequals(tc_bool),c_False),hAPP(u,c_False),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x))**.
% 299.97/300.62 30077[0:SpR:12738.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x),hAPP(c_fequal(tc_bool),c_False),hAPP(u,c_False),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x))**.
% 299.97/300.62 30076[0:SpR:15540.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(u,c_False),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x))**.
% 299.97/300.62 30075[0:SpR:15494.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x),hAPP(c_fequal(tc_bool),c_False),hAPP(u,c_False),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x))**.
% 299.97/300.62 30053[0:SpR:19653.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_HOL_Ominus__class_Ominus(v,tc_bool),w,x,y),c_Orderings_Otop__class_Otop(tc_bool),hAPP(u,c_False),y,x),c_Fun_Ocomp(u,c_HOL_Ominus__class_Ominus(v,tc_bool),w,x,y))**.
% 299.97/300.62 30052[0:SpR:13544.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),hAPP(u,c_False),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x))**.
% 299.97/300.62 30049[0:SpR:8997.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x),c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool),hAPP(u,c_False),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x))**.
% 299.97/300.62 30048[0:SpR:5334.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool),hAPP(u,c_False),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x))**.
% 299.97/300.62 30047[0:SpR:8824.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x),c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool),hAPP(u,c_False),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x))**.
% 299.97/300.62 30046[0:SpR:5201.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x),c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool),hAPP(u,c_False),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x))**.
% 299.97/300.62 34462[0:Res:1293.2,58.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Otop__class_Otop(u)),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v))*.
% 299.97/300.62 34450[0:Res:1294.2,58.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),w))*.
% 299.97/300.62 34449[0:Res:1310.2,58.1] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),w))*.
% 299.97/300.62 34516[0:SSi:34509.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u)),w))*.
% 299.97/300.62 34517[0:SSi:34508.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,u)),w))*.
% 299.97/300.62 34518[0:SSi:34485.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),u),v))* -> equal(w,c_False) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(w,c_False,tc_bool)),v))*.
% 299.97/300.62 34519[0:SSi:34456.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),x)),w))*.
% 299.97/300.62 34828[0:Res:1293.2,485.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v))*.
% 299.97/300.62 34888[0:SpR:29198.1,361.1] || equal(c_False,u) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w,x))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),x,y),w),y))*.
% 299.97/300.62 34982[0:SpR:29746.1,361.1] || equal(c_False,u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w,x))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),x,y),w),y))*.
% 299.97/300.62 35258[0:SpR:326.1,28358.1] || hBOOL(c_in(u,v,w))* equal(hAPP(x,u),c_False) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(x,w,tc_bool),v)),hAPP(x,u))*.
% 299.97/300.62 35213[0:SpR:28358.1,361.1] || equal(c_False,u) hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),v),w,x))* -> hBOOL(c_in(u,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),x,y),w),y))*.
% 299.97/300.62 35352[0:Res:1273.2,52.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.62 35351[0:Res:1293.2,52.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.62 35339[0:Res:1294.2,52.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Obot__class_Obot(u)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))*.
% 299.97/300.62 35883[0:Res:1294.2,484.1] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))*.
% 299.97/300.62 35948[0:SSi:35918.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool)))* -> equal(v,c_False) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),w))*.
% 299.97/300.62 36499[0:SpL:242.1,370.1] class_Lattices_Oupper__semilattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),c_Orderings_Obot__class_Obot(u))** -> equal(x,c_Orderings_Obot__class_Obot(u)).
% 299.97/300.62 36540[0:Obv:36380.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))))*.
% 299.97/300.62 36563[0:SSi:36506.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Fun_Oinj__on(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),y)),v,z)* -> c_Fun_Oinj__on(u,y,v,z).
% 299.97/300.62 36564[0:SSi:36401.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),y),v)),w))*.
% 299.97/300.62 36565[0:SSi:36504.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),y)),v)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,y,v).
% 299.97/300.62 36567[0:SSi:36410.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(u)),y))),y,u)*.
% 299.97/300.62 36882[0:SpL:25.1,22.1] class_Lattices_Olower__semilattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),c_Orderings_Otop__class_Otop(u))** -> equal(x,c_Orderings_Otop__class_Otop(u)).
% 299.97/300.62 36924[0:Obv:36793.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)))*.
% 299.97/300.62 36946[0:SSi:36886.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),x)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))** -> hBOOL(hAPP(x,y))*.
% 299.97/300.62 36951[0:SSi:36820.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),y),v)),w)*.
% 299.97/300.62 36952[0:SSi:36809.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),y),w)),v)*.
% 299.97/300.62 37022[0:SpR:20230.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool))),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y),w),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 37228[0:SpL:239.1,370.1] class_Lattices_Olattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),c_Orderings_Obot__class_Obot(u))** -> equal(x,c_Orderings_Obot__class_Obot(u)).
% 299.97/300.62 37261[0:Obv:37106.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))))*.
% 299.97/300.62 37459[0:Res:26165.1,352.0] || hBOOL(c_in(v_x,u,t_a)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x,tc_fun(y,tc_bool)),hAPP(u,v_x)))*.
% 299.97/300.62 37406[0:SpR:341.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v_x),v)))*.
% 299.97/300.62 37387[0:SpR:757.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),hAPP(c_Set_Oinsert(v,u),v_x)))*.
% 299.97/300.62 37371[0:SpR:3059.1,26165.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v_x) hBOOL(c_in(v_x,c_Set_Oinsert(v,u),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))*.
% 299.97/300.62 37609[0:SpL:128.1,22.1] class_Lattices_Olattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),c_Orderings_Otop__class_Otop(u))** -> equal(x,c_Orderings_Otop__class_Otop(u)).
% 299.97/300.62 37645[0:Obv:37516.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)))*.
% 299.97/300.62 38072[0:SpL:241.1,369.1] class_Lattices_Oupper__semilattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),c_Orderings_Obot__class_Obot(u))** -> equal(w,c_Orderings_Obot__class_Obot(u)).
% 299.97/300.62 38141[0:Obv:37885.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w))))*.
% 299.97/300.62 38196[0:SSi:38081.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Fun_Oinj__on(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),y)),v,z)* -> c_Fun_Oinj__on(u,x,v,z).
% 299.97/300.62 38197[0:SSi:37881.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),y)),w))*.
% 299.97/300.62 38198[0:SSi:38079.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),y)),v)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,x,v).
% 299.97/300.62 38252[0:SSi:38251.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),hAPP(c_Set_Oinsert(w,u),v)))*.
% 299.97/300.62 38601[0:SpL:126.1,21.1] class_Lattices_Olower__semilattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),c_Orderings_Otop__class_Otop(u))** -> equal(w,c_Orderings_Otop__class_Otop(u)).
% 299.97/300.62 38678[0:Obv:38451.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)))*.
% 299.97/300.62 38732[0:SSi:38605.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),x)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))** -> hBOOL(hAPP(w,y))*.
% 299.97/300.62 38736[0:SSi:38483.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),y)),v)*.
% 299.97/300.62 38737[0:SSi:38470.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),v),y)),w)*.
% 299.97/300.62 39236[0:SpL:240.1,369.1] class_Lattices_Olattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),c_Orderings_Obot__class_Obot(u))** -> equal(w,c_Orderings_Obot__class_Obot(u)).
% 299.97/300.62 39291[0:Obv:39040.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w))))*.
% 299.97/300.62 39773[0:SpL:127.1,21.1] class_Lattices_Olattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),c_Orderings_Otop__class_Otop(u))** -> equal(w,c_Orderings_Otop__class_Otop(u)).
% 299.97/300.62 39837[0:Obv:39614.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)))*.
% 299.97/300.62 40146[0:Res:793.0,17838.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_HOL_Oord__class_Oless(tc_bool),v,w,t_a)),t_a)* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_sko__Hoare__Mirabelle__Xescape__2(u,c_HOL_Oord__class_Oless(tc_bool),w,v))).
% 299.97/300.62 40382[0:Res:792.0,17838.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_HOL_Oord__class_Oless(tc_bool),v,w,t_a)),t_a)* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,c_HOL_Oord__class_Oless(tc_bool),w,v))).
% 299.97/300.62 40583[0:Res:791.0,17838.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_HOL_Oord__class_Oless(tc_bool),v,w,t_a)),t_a)* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,c_HOL_Oord__class_Oless(tc_bool),w,v))).
% 299.97/300.62 41052[0:SpR:14944.0,131.1] || -> equal(u,c_False) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(v,tc_bool),u,w,x,y),c_False,v,x,y),c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(v,tc_bool),u,w,x,y))**.
% 299.97/300.62 41048[0:SpR:14845.0,131.1] || -> equal(u,v) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(v,tc_bool),u,w,x,y),v,c_False,x,y),c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(v,tc_bool),u,w,x,y))**.
% 299.97/300.62 41047[0:SpR:14601.0,131.1] || -> equal(u,v) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(c_False,tc_bool),u,w,x,y),v,c_False,x,y),c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(c_False,tc_bool),u,w,x,y))**.
% 299.97/300.62 40964[0:SpR:131.1,1533.0] || -> equal(u,v) hBOOL(hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(c_Fun_Ofun__upd(w,u,x,y,z),v,x1,y,z),x2,x3),c_Orderings_Otop__class_Otop(tc_fun(x2,tc_bool))),x))*.
% 299.97/300.62 41202[0:Res:402.1,57.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(x,u),w),u)* -> c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(x,u),v),u)*.
% 299.97/300.62 41195[0:Res:402.1,530.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w)) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(u)),w),hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(u)),v),u)*.
% 299.97/300.62 42674[0:Res:26440.1,352.0] || hBOOL(c_in(v_x,u,t_a)) hBOOL(c_in(hAPP(u,v_x),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.62 42614[0:SpR:341.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v_x),v)),w))*.
% 299.97/300.62 42594[0:SpR:757.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_Set_Oinsert(v,u),v_x)),w))*.
% 299.97/300.62 42578[0:SpR:3059.1,26440.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v_x) hBOOL(c_in(v_x,c_Set_Oinsert(v,u),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),w))*.
% 299.97/300.62 43133[0:SpL:795.0,5078.0] || hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),x)),y))* -> hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),x),y)).
% 299.97/300.62 43132[0:SpL:795.0,286.1] || hBOOL(c_in(u,hAPP(c_fequal(v),w),v)) hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),y)),v))* -> .
% 299.97/300.62 43092[0:SpR:795.0,320.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(w,u),x))),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),x)))*.
% 299.97/300.62 43301[0:MRR:43274.2,9750.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),u),hAPP(c_fequal(tc_bool),w)))*.
% 299.97/300.62 43302[0:MRR:43273.2,9018.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),u),hAPP(c_fequal(tc_bool),w)))*.
% 299.97/300.62 43303[0:MRR:43272.2,9476.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),u),hAPP(c_fequal(tc_bool),w)))*.
% 299.97/300.62 43304[0:MRR:43271.2,8844.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),u),hAPP(c_fequal(tc_bool),w)))*.
% 299.97/300.62 43305[0:MRR:43257.2,666.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_COMBK(c_False,tc_bool,u)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_fequal(u),w)))*.
% 299.97/300.62 43377[0:Res:8830.0,352.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool),u,y),w,tc_fun(z,tc_bool)),c_False))*.
% 299.97/300.62 43611[0:Res:9004.0,352.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool),u,y),w,tc_fun(z,tc_bool)),c_False))*.
% 299.97/300.62 43622[0:Res:10476.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,x),w,tc_fun(x,tc_bool)),x))*.
% 299.97/300.62 43617[0:Res:10476.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),u,x,tc_fun(v,tc_bool)),v)*.
% 299.97/300.62 43770[0:SpR:13719.1,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> equal(u,c_False) hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_fun(tc_bool,tc_bool)),w,y),v),x))*.
% 299.97/300.62 44144[0:Res:28240.1,352.0] || equal(c_False,u) hBOOL(c_in(hAPP(c_lessequals(tc_bool),u),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(x,y),w,tc_fun(z,tc_bool)),c_False))*.
% 299.97/300.62 44560[0:SpL:456.0,743.0] || equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(u,v),w),x,v,tc_fun(y,tc_bool)),c_COMBK(c_False,tc_bool,y))** -> equal(hAPP(x,u),c_COMBK(c_False,tc_bool,y)).
% 299.97/300.62 44208[0:SpR:456.0,237.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,w,x,tc_fun(u,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(y,x),v),w,x,tc_fun(u,tc_bool))))*.
% 299.97/300.62 44181[0:SpR:456.0,428.1] || hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,v,w,tc_fun(x,tc_bool)),y)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(z,w),u),v,w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.62 44178[0:SpR:456.0,757.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(u,v),w),c_fequal(x),v,tc_fun(x,tc_bool)),hAPP(c_Set_Oinsert(u,x),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_fequal(x),v,tc_fun(x,tc_bool))))*.
% 299.97/300.62 44686[0:Res:28274.1,352.0] || equal(hAPP(u,v),c_False)** hBOOL(c_in(c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.62 44735[0:Res:236.0,259.0] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(hAPP(x,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),hAPP(c_Set_Oimage(x,w,y),v)),z),y))*.
% 299.97/300.62 44789[0:SpL:249.0,44668.0] || equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),c_False),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),c_False),tc_fun(v,tc_bool)),tc_bool),c_False)**.
% 299.97/300.62 45360[0:MRR:45356.1,9750.0] || c_Finite__Set_Ofold__graph(u,v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool),x,tc_bool,y)* -> c_Finite__Set_Ofold__graph(u,v,hAPP(c_fequal(tc_bool),z),hAPP(hAPP(u,z),x),tc_bool,y)*.
% 299.97/300.62 45361[0:MRR:45355.1,9018.0] || c_Finite__Set_Ofold__graph(u,v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool),x,tc_bool,y)* -> c_Finite__Set_Ofold__graph(u,v,hAPP(c_fequal(tc_bool),z),hAPP(hAPP(u,z),x),tc_bool,y)*.
% 299.97/300.62 45362[0:MRR:45354.1,9476.0] || c_Finite__Set_Ofold__graph(u,v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool),x,tc_bool,y)* -> c_Finite__Set_Ofold__graph(u,v,hAPP(c_fequal(tc_bool),z),hAPP(hAPP(u,z),x),tc_bool,y)*.
% 299.97/300.62 45363[0:MRR:45353.1,8844.0] || c_Finite__Set_Ofold__graph(u,v,c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool),x,tc_bool,y)* -> c_Finite__Set_Ofold__graph(u,v,hAPP(c_fequal(tc_bool),z),hAPP(hAPP(u,z),x),tc_bool,y)*.
% 299.97/300.62 45364[0:MRR:45339.1,666.0] || c_Finite__Set_Ofold__graph(u,v,c_COMBK(c_False,tc_bool,w),x,w,y) -> c_Finite__Set_Ofold__graph(u,v,hAPP(c_fequal(w),z),hAPP(hAPP(u,z),x),w,y)*.
% 299.97/300.62 46228[0:Res:34556.0,352.0] || hBOOL(c_in(c_False,u,v)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),x),w)** hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_HOL_Oord__class_Oless(tc_bool),v,tc_fun(y,tc_bool)),w))*.
% 299.97/300.62 46115[0:SpR:34556.1,4377.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),x)) hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),w,y),v),x))*.
% 299.97/300.62 46306[0:SSi:46291.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> c_Complete__Lattice_Ocomplete__lattice(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OInf__class_OInf(tc_bool),c_COMBC(c_lessequals(tc_bool),tc_bool,tc_bool,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(tc_bool),tc_bool,tc_bool,tc_bool),c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),c_False,tc_bool)*.
% 299.97/300.62 46432[0:SpR:104.2,1367.0] class_Orderings_Olinorder(tc_Hoare__Mirabelle_Otriple(u)) || hBOOL(hAPP(hAPP(c_lessequals(tc_Hoare__Mirabelle_Otriple(u)),v),w)) -> c_Hoare__Mirabelle_Ohoare__derivs(c_SetInterval_Oord__class_OatLeastLessThan(v,x,tc_Hoare__Mirabelle_Otriple(u)),c_SetInterval_Oord__class_OatLeastLessThan(w,x,tc_Hoare__Mirabelle_Otriple(u)),u)*.
% 299.97/300.62 46638[0:Res:2652.0,814.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(u,c_Option_Othe(c_Com_Obody(v),tc_Com_Ocom),w,x),tc_Hoare__Mirabelle_Otriple(x)),y),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(x)),c_Hoare__Mirabelle_Otriple_Otriple(u,c_Com_Ocom_OBODY(v),w,x)),x)*.
% 299.97/300.62 47702[0:Obv:47701.2] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,v,w))* c_Fun_Oinj__on(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),v,w,y)* -> equal(u,x)*.
% 299.97/300.62 47803[2:MRR:46167.1,47802.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_sko__Hoare__Mirabelle__Xescape__1(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v,t_a)),t_a)*.
% 299.97/300.62 47804[2:MRR:46168.1,47802.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v,t_a)),t_a)*.
% 299.97/300.62 47805[2:MRR:46169.1,47802.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v,t_a)),t_a)*.
% 299.97/300.62 49192[2:Res:1.2,47875.1] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) equal(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)),w),c_False)** -> .
% 299.97/300.62 49191[2:Res:2.2,47875.1] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) equal(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)),w),c_False)** -> .
% 299.97/300.62 49166[2:Res:171.2,47875.1] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)),w),c_False)** -> .
% 299.97/300.62 49165[2:Res:172.2,47875.1] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)),w),c_False)** -> .
% 299.97/300.62 49151[2:Res:184.2,47875.1] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) equal(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),c_False)** -> .
% 299.97/300.62 49150[2:Res:185.2,47875.1] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) equal(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w)),c_False)** -> .
% 299.97/300.62 49132[2:Res:478.2,47875.1] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w)),c_False)** -> .
% 299.97/300.62 49131[2:Res:479.2,47875.1] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),c_False)** -> .
% 299.97/300.62 49120[2:Res:265.1,47875.1] || hBOOL(c_in(u,v,w)) equal(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(y,u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,y,w,tc_fun(x,tc_bool))),c_False)** -> .
% 299.97/300.62 49119[2:Res:435.1,47875.1] || hBOOL(c_in(u,v,w)) equal(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,y,w,tc_fun(x,tc_bool))),hAPP(y,u)),c_False)** -> .
% 299.97/300.62 49117[2:Res:412.1,47875.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(x,u),w)),c_False)** -> .
% 299.97/300.62 49429[0:MRR:49411.3,687.0] class_OrderedGroup_Opordered__ab__group__add(tc_fun(u,tc_bool)) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* equal(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w),x)* -> .
% 299.97/300.62 49581[0:SpR:44578.0,294.1] || hBOOL(c_in(u,hAPP(c_fequal(v),w),v))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),hAPP(y,u)),hAPP(y,w)),hAPP(y,w))**.
% 299.97/300.62 50602[2:SpL:50431.1,461.0] || hBOOL(u) equal(hAPP(v,w),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),w),w)**.
% 299.97/300.62 50585[2:SpL:50431.1,461.0] || hBOOL(u) equal(hAPP(v,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),x,y)* -> equal(hAPP(hAPP(w,v),z),z)**.
% 299.97/300.62 50799[0:MRR:50795.1,9733.0] class_OrderedGroup_Ocomm__monoid__add(u) || -> equal(c_Finite__Set_Osetsum(v,c_COMBK(c_False,tc_bool,w),w,u),c_Finite__Set_Osetsum(c_Fun_Ocomp(v,x,w,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool),tc_bool,u))*.
% 299.97/300.62 50800[0:MRR:50794.1,8986.0] class_OrderedGroup_Ocomm__monoid__add(u) || -> equal(c_Finite__Set_Osetsum(v,c_COMBK(c_False,tc_bool,w),w,u),c_Finite__Set_Osetsum(c_Fun_Ocomp(v,x,w,u,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool),tc_bool,u))*.
% 299.97/300.62 50801[0:MRR:50793.1,9434.0] class_OrderedGroup_Ocomm__monoid__add(u) || -> equal(c_Finite__Set_Osetsum(v,c_COMBK(c_False,tc_bool,w),w,u),c_Finite__Set_Osetsum(c_Fun_Ocomp(v,x,w,u,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool),tc_bool,u))*.
% 299.97/300.62 50802[0:MRR:50792.1,8813.0] class_OrderedGroup_Ocomm__monoid__add(u) || -> equal(c_Finite__Set_Osetsum(v,c_COMBK(c_False,tc_bool,w),w,u),c_Finite__Set_Osetsum(c_Fun_Ocomp(v,x,w,u,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool),tc_bool,u))*.
% 299.97/300.62 50803[0:MRR:50788.1,665.0] class_OrderedGroup_Ocomm__monoid__add(u) || -> equal(c_Finite__Set_Osetsum(v,c_COMBK(c_False,tc_bool,w),w,u),c_Finite__Set_Osetsum(c_Fun_Ocomp(v,x,w,u,y),c_COMBK(c_False,tc_bool,y),y,u))*.
% 299.97/300.62 53859[2:Rew:294.1,53227.2] || hBOOL(c_in(u,v,w))* hBOOL(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,x,w,tc_fun(y,tc_bool)))* equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,x,w,tc_fun(y,tc_bool)),c_False) -> .
% 299.97/300.62 56107[0:SpR:256.0,363.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)),w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)).
% 299.97/300.62 56929[0:Res:361.1,809.0] || hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_fequal(w),u)),w))* c_Fun_Oinj__on(x,hAPP(c_Set_Oinsert(u,w),v),w,y)* -> .
% 299.97/300.62 57794[0:Obv:57611.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,c_Fun_Ocomp(y,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),w,w,w)),z),hAPP(hAPP(u,y),z))**.
% 299.97/300.62 57796[0:Obv:57669.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,c_fequal(v),w,x)* -> equal(hAPP(hAPP(u,c_Fun_Ocomp(y,c_Set_Oinsert(z,v),w,w,w)),z),hAPP(hAPP(u,y),z))**.
% 299.97/300.62 58262[0:MRR:58261.1,494.1] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),hAPP(c_fequal(u),x)))*.
% 299.97/300.62 58762[0:SpL:54071.0,352.0] || hBOOL(u) hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.62 58785[0:Rew:58690.1,54477.1] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w)),v),u)**.
% 299.97/300.62 58786[0:Rew:58690.1,55284.1] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),u)**.
% 299.97/300.62 59150[0:SpL:54074.0,352.0] || hBOOL(u) hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.62 59700[0:SpL:54440.0,352.0] || hBOOL(u) hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),u)))*.
% 299.97/300.62 60127[0:SpL:54836.0,352.0] || hBOOL(u) hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),y)))*.
% 299.97/300.62 61321[0:SpR:49966.1,747.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_COMBK(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool),w),w,tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))**.
% 299.97/300.62 61320[0:SpR:49966.1,744.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(c_Product__Type_OSigma(v,c_COMBK(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool),w),w,tc_bool),c_COMBK(c_False,tc_bool,tc_prod(w,tc_bool)))**.
% 299.97/300.62 61768[0:SpR:61326.1,361.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.62 61958[0:MRR:61950.0,1055.0] || c_Nitpick_Ofold__graph_H(u,v,c_COMBK(c_False,tc_bool,w),x,w,y) -> c_Nitpick_Ofold__graph_H(u,v,hAPP(c_fequal(w),z),hAPP(hAPP(u,z),x),w,y)*.
% 299.97/300.62 62150[0:Rew:62049.0,61351.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> equal(v,c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)) equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),tc_bool,tc_bool),v),hAPP(c_fequal(tc_bool),c_False))**.
% 299.97/300.62 63591[0:SpR:58781.1,361.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(v,w,x))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,y),w),y))*.
% 299.97/300.62 63930[0:SSi:63896.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))),u))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),u).
% 299.97/300.62 64095[0:SpR:59170.1,361.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),w,y),v),y))*.
% 299.97/300.62 65032[0:SSi:64997.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))))* -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),u).
% 299.97/300.62 66616[0:SpR:508.0,1384.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x,u,tc_fun(tc_Hoare__Mirabelle_Otriple(y),tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,x,u,tc_fun(tc_Hoare__Mirabelle_Otriple(y),tc_bool)),y)*.
% 299.97/300.62 66615[0:SpR:508.0,1383.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x,u,tc_fun(tc_Hoare__Mirabelle_Otriple(y),tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,x,u,tc_fun(tc_Hoare__Mirabelle_Otriple(y),tc_bool)),y)*.
% 299.97/300.62 67117[0:Rew:8976.0,67020.2] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.62 67296[0:Rew:8976.0,67124.2] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool)).
% 299.97/300.62 67612[0:Rew:8976.0,67437.2] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(w,v,tc_bool)).
% 299.97/300.62 67803[0:Rew:8976.0,67707.2] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.62 67944[0:SpR:63959.0,361.1] || hBOOL(c_in(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)),v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w,x),v),x))*.
% 299.97/300.62 68059[0:SpR:65071.0,361.1] || hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)),v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w,x),v),x))*.
% 299.97/300.62 68540[0:Rew:61303.1,68236.3] class_Orderings_Olinorder(tc_bool) || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(w,v,tc_bool))*.
% 299.97/300.62 68905[0:SpR:64010.0,361.1] || hBOOL(c_in(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w,x),v),x))*.
% 299.97/300.62 69026[0:SpR:65131.0,361.1] || hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w,x),v),x))*.
% 299.97/300.62 69337[2:SpL:803.2,49152.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),u),v_x)) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,v_x,t_a),v_x)),c_False)** -> .
% 299.97/300.62 69336[2:SpL:802.2,49152.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),v_x),u)) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,u,t_a),v_x)),c_False)** -> .
% 299.97/300.62 69412[2:SpL:803.2,49156.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),u),v_x)) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,v_x,t_a),v_x)),v),c_False)** -> .
% 299.97/300.62 69411[2:SpL:802.2,49156.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),v_x),u)) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,u,t_a),v_x)),v),c_False)** -> .
% 299.97/300.62 69597[0:SpR:61332.1,4377.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 70252[0:SpR:818.1,26200.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,v_x,w,t_a),w,t_a),v),v_x)),y))*.
% 299.97/300.62 70251[0:SpR:818.1,26073.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(y,u,v_x,w,t_a),w,t_a),v),v_x)))*.
% 299.97/300.62 70215[0:SpR:818.1,6010.0] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(x,hAPP(c_Set_Oinsert(y,z),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x1,u,x,w,z),w,z),v)),z))*.
% 299.97/300.62 70901[0:SpR:68028.1,4377.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(hAPP(c_fequal(tc_bool),u),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 71292[2:Res:50386.1,352.0] || hBOOL(u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.62 71269[2:Res:50386.1,56.0] || hBOOL(u) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),w))*.
% 299.97/300.62 71311[2:SSi:71277.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || hBOOL(u) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),v),w))*.
% 299.97/300.62 71651[0:SSi:71619.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.62 71652[0:SSi:71618.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.62 71653[0:SSi:71614.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.62 71709[0:SSi:71696.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.62 71710[0:SSi:71695.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.62 71711[0:SSi:71671.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.62 71768[0:SSi:71754.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.62 71769[0:SSi:71753.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u)),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.62 71770[0:SSi:71752.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.62 72106[0:SSi:72075.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.62 72107[0:SSi:72070.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.62 72108[0:SSi:72052.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.62 72837[0:SpR:68995.1,4377.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 73322[0:Res:34557.0,352.0] || hBOOL(c_in(c_False,u,v)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),x),x)** hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_HOL_Oord__class_Oless(tc_bool),v,tc_fun(y,tc_bool)),x))*.
% 299.97/300.62 73156[0:SpR:34557.1,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),w,y),v),u))*.
% 299.97/300.62 73364[2:MRR:73226.1,47802.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v,t_a)),t_a)*.
% 299.97/300.62 73365[2:MRR:73225.1,47802.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v,t_a)),t_a)*.
% 299.97/300.62 73366[2:MRR:73224.1,47802.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_sko__Hoare__Mirabelle__Xescape__2(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v,t_a)),t_a)*.
% 299.97/300.62 73367[0:Obv:73292.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(v,y)))* equal(hAPP(hAPP(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),z)),y),y)**.
% 299.97/300.62 73369[0:SSi:73368.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v)),u)**.
% 299.97/300.62 73372[0:SSi:73371.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u)),v),u)**.
% 299.97/300.62 73572[0:Res:34558.0,352.0] || hBOOL(c_in(c_False,u,v)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),x),w)** hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_HOL_Oord__class_Oless(tc_bool),v,tc_fun(y,tc_bool)),x))*.
% 299.97/300.62 73396[0:SpR:34558.1,4377.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))* hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),w,y),v),x))*.
% 299.97/300.62 73611[0:SSi:73496.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v)),w)**.
% 299.97/300.62 73731[0:SpR:818.1,73581.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,v_x,w,t_a),w,t_a),v),v_x)))*.
% 299.97/300.62 74664[2:SpL:803.2,73732.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),u),v_x)) equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,v_x,t_a),v_x)),c_False)** -> .
% 299.97/300.62 74663[2:SpL:802.2,73732.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),v_x),u)) equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,u,t_a),v_x)),c_False)** -> .
% 299.97/300.62 74734[0:SpR:803.2,73754.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),u),v_x)) -> equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,v_x,t_a),v_x),c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.62 74733[0:SpR:802.2,73754.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),v_x),u)) -> equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,u,t_a),v_x),c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.62 74913[0:Res:73586.1,352.0] || hBOOL(c_in(v_x,u,t_a)) hBOOL(c_in(c_False,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Oord__class_Oless(tc_bool),w,tc_fun(x,tc_bool)),hAPP(u,v_x)))*.
% 299.97/300.62 74859[0:SpR:341.0,73586.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),t_a)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v_x),v)))*.
% 299.97/300.62 74838[0:SpR:757.0,73586.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(c_Set_Oinsert(v,u),v_x))).
% 299.97/300.62 74822[0:SpR:3059.1,73586.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v_x) hBOOL(c_in(v_x,c_Set_Oinsert(v,u),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))*.
% 299.97/300.62 75572[0:Res:34559.0,352.0] || hBOOL(c_in(c_False,u,v)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),x),x)** hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_HOL_Oord__class_Oless(tc_bool),v,tc_fun(y,tc_bool)),w))*.
% 299.97/300.62 75398[0:SpR:34559.1,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),x)) hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),w,y),v),u))*.
% 299.97/300.62 75613[0:SSi:75427.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),w)**.
% 299.97/300.62 75962[2:SpR:50408.1,4377.1] || hBOOL(u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_fun(tc_bool,tc_bool)),w,y),v),x))*.
% 299.97/300.62 77073[0:SpR:803.2,58783.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool))),v)**.
% 299.97/300.62 77072[0:SpR:802.2,58783.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool))),u)**.
% 299.97/300.62 76996[0:SpR:58783.0,4377.1] || hBOOL(c_in(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x,y),w),u))*.
% 299.97/300.62 77127[0:SSi:77048.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),w)))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u))**.
% 299.97/300.62 77128[0:SSi:77019.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w))**.
% 299.97/300.62 77206[0:Res:59172.0,352.0] || hBOOL(c_in(c_False,u,v)) -> equal(w,x) hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_HOL_Oord__class_Oless(tc_bool),v,tc_fun(y,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),x)))*.
% 299.97/300.62 77237[0:SSi:77183.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))))* equal(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)).
% 299.97/300.62 77238[0:SSi:77158.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),w).
% 299.97/300.62 77335[0:SpR:803.2,59886.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool))),v)**.
% 299.97/300.62 77334[0:SpR:802.2,59886.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool))),u)**.
% 299.97/300.62 77250[0:SpR:59886.0,4377.1] || hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,y),w),u))*.
% 299.97/300.62 77395[0:SSi:77308.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),w)))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u))**.
% 299.97/300.62 77396[0:SSi:77277.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v))),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w))**.
% 299.97/300.62 77869[0:Res:9516.0,352.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool),u,y),w,tc_fun(z,tc_bool)),c_False))*.
% 299.97/300.62 77895[0:SpR:9624.0,35.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),v,c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),w,x),c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.62 77887[0:SpR:9624.0,4377.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool),tc_fun(tc_bool,tc_bool)),w,y),v),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool)))*.
% 299.97/300.62 78240[0:Res:9800.0,352.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool),u,y),w,tc_fun(z,tc_bool)),c_False))*.
% 299.97/300.62 78266[0:SpR:9857.0,35.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),v,c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),w,x),c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_fun(tc_bool,tc_bool)))**.
% 299.97/300.62 78258[0:SpR:9857.0,4377.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool),tc_fun(tc_bool,tc_bool)),w,y),v),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool)))*.
% 299.97/300.62 78803[0:Res:14846.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(c_in(c_False,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_bool),u,y),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.62 78798[0:Res:14846.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,c_False),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(w,tc_bool),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),u,y,tc_fun(v,tc_bool)),v)*.
% 299.97/300.62 79413[2:SpL:405.0,49064.0] || equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(v,w,u),x)),hAPP(c_Set_Oimage(v,w,u),hAPP(c_Set_Oinsert(y,w),x))),c_False)** -> .
% 299.97/300.62 79575[0:SpL:341.0,78858.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),c_False)** equal(c_False,v) -> equal(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),tc_bool)).
% 299.97/300.62 79532[0:SpL:757.0,78858.0] || equal(hAPP(c_Set_Oinsert(u,v),w),c_False)** equal(c_False,w) -> equal(w,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_fequal(v),u)),tc_bool))*.
% 299.97/300.62 79513[0:SpL:691.0,78858.0] || equal(c_COMBK(c_False,tc_bool,u),c_False) equal(c_COMBK(c_False,tc_bool,v),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oimage(w,v,u),tc_bool),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.62 80068[0:Obv:79623.1] class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),c_False)** -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_bool)).
% 299.97/300.62 80069[0:Obv:79622.1] class_Lattices_Olattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),c_False)** -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_bool)).
% 299.97/300.62 80070[0:Obv:79620.1] class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),c_False)** -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_bool)).
% 299.97/300.62 80071[0:Obv:79619.1] class_Lattices_Olattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),c_False)** -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_bool)).
% 299.97/300.62 80168[0:MRR:80167.1,491.0] class_OrderedGroup_Oab__group__add(u) || c_Finite__Set_Ofinite(v,w)* equal(hAPP(c_HOL_Ominus__class_Ominus(x,u),y),c_Finite__Set_Osetsum(z,c_COMBK(c_False,tc_bool,w),w,u))* -> equal(x,y).
% 299.97/300.62 80330[0:Res:1013.1,79861.0] class_Orderings_Oorder(u) || equal(c_Finite__Set_Ofold1Set(v,c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,u),u),c_False)** -> equal(c_Finite__Set_Ofold1Set(v,c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,u),u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.62 80255[0:SpL:186.1,79861.0] class_Lattices_Obounded__lattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),c_False)** -> equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.62 80239[0:SpL:278.1,79861.0] class_Lattices_Obounded__lattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),c_False)** -> equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.62 80474[0:Rew:80024.1,80451.2] || equal(c_False,u) equal(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(tc_bool),u)),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.62 80477[0:Rew:80024.1,80388.2] class_Orderings_Obot(u) || equal(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.62 80478[0:Rew:80024.1,80384.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.62 80484[0:Rew:80024.1,80439.1] || equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),hAPP(c_fequal(v),c_False))),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(u,v),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.62 81036[0:SpL:12371.2,4686.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(v)* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),c_False))*.
% 299.97/300.62 80878[0:SpR:12371.2,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),x,y),w),v))*.
% 299.97/300.62 81305[0:SpL:14438.2,4686.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(v)* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),c_False))*.
% 299.97/300.62 81189[0:SpR:14438.2,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),x,y),w),v))*.
% 299.97/300.62 81449[0:Res:14945.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_bool),u,y),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.62 81444[0:Res:14945.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,v),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v,tc_bool),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),u,y,tc_fun(w,tc_bool)),w)*.
% 299.97/300.62 81856[0:Res:24254.0,352.0] || hBOOL(c_in(hAPP(u,v),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(tc_bool),x,tc_fun(y,tc_bool)),hAPP(hAPP(c_Set_Oinsert(z,x1),u),v)))*.
% 299.97/300.62 81648[0:SpR:2651.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Set_Oinsert(u,v),w)),hAPP(hAPP(c_Set_Oinsert(x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w)),hAPP(c_fequal(v),u))))*.
% 299.97/300.62 81639[0:SpR:3333.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w))),hAPP(hAPP(c_Set_Oinsert(x,y),c_Set_Oinsert(w,v)),hAPP(c_fequal(v),u))))*.
% 299.97/300.62 81599[0:SpR:341.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),hAPP(hAPP(c_Set_Oinsert(x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w)),v)))*.
% 299.97/300.62 81556[0:SpR:757.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Set_Oinsert(u,v),w)),hAPP(hAPP(c_Set_Oinsert(x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_fequal(v),u))),w)))*.
% 299.97/300.62 81518[0:SpR:3059.1,24254.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),hAPP(hAPP(c_Set_Oinsert(w,x),c_Set_Oinsert(y,v)),u)))*.
% 299.97/300.62 81474[0:SpR:405.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Set_Oimage(u,v,w),x),y)),hAPP(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(z,v),x)),y)))*.
% 299.97/300.62 82023[0:Res:81832.0,352.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_bool),w,tc_fun(x,tc_bool)),hAPP(hAPP(c_Set_Oinsert(y,z),c_HOL_Ominus__class_Ominus(u,tc_bool)),c_False)))*.
% 299.97/300.62 82153[0:SpL:82115.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool)),u))*.
% 299.97/300.62 82130[0:SpR:82115.0,265.1] || hBOOL(c_in(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(w,tc_bool))))*.
% 299.97/300.62 82129[0:SpR:82115.0,435.1] || hBOOL(c_in(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(w,tc_bool))),c_False))*.
% 299.97/300.62 82525[0:SpR:82132.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),hAPP(u,c_False),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x))**.
% 299.97/300.62 82915[2:SpL:405.0,49049.1] || hBOOL(hAPP(hAPP(c_Set_Oimage(u,v,w),x),y)) equal(hAPP(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(z,v),x)),y),c_False)** -> .
% 299.97/300.62 83035[2:SpL:803.2,49246.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(c_in(w,hAPP(c_Set_Oinsert(x,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),u),c_False)** -> .
% 299.97/300.62 83034[2:SpL:802.2,49246.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(c_in(v,hAPP(c_Set_Oinsert(x,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),u),c_False)** -> .
% 299.97/300.62 83446[0:Res:22323.0,352.0] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Set_Oimage(z,v,x1),y,tc_fun(x2,tc_bool)),hAPP(z,u)))*.
% 299.97/300.62 83430[0:SpR:803.2,22323.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(x,u,y),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),hAPP(x,w)))*.
% 299.97/300.62 83429[0:SpR:802.2,22323.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(x,u,y),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),hAPP(x,v)))*.
% 299.97/300.62 83223[0:SpR:2651.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,x),hAPP(c_Set_Oinsert(hAPP(c_fequal(u),y),w),z)),hAPP(c_Set_Oinsert(y,u),v)))*.
% 299.97/300.62 83214[0:SpR:3333.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),w,x),hAPP(c_Set_Oinsert(hAPP(c_fequal(v),y),w),z)),hAPP(c_Set_Oinsert(y,v),hAPP(c_fequal(v),u))))*.
% 299.97/300.62 83174[0:SpR:341.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,x),hAPP(c_Set_Oinsert(y,w),z)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),v)))*.
% 299.97/300.62 83131[0:SpR:757.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),w,x),hAPP(c_Set_Oinsert(y,w),z)),hAPP(c_Set_Oinsert(v,u),y)))*.
% 299.97/300.62 83093[0:SpR:3059.1,22323.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(w,v),x,y),hAPP(c_Set_Oinsert(u,x),z)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))))*.
% 299.97/300.62 83488[0:Res:83095.0,352.0] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_False,tc_bool),v,z),y,tc_fun(x1,tc_bool)),c_False))*.
% 299.97/300.62 83474[0:SpR:803.2,83095.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_False,tc_bool),u,x),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_False))*.
% 299.97/300.62 83537[0:Res:83096.0,352.0] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,z),y,tc_fun(x1,tc_bool)),c_False))*.
% 299.97/300.62 83523[0:SpR:803.2,83096.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(w,tc_bool),u,x),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_False))*.
% 299.97/300.62 83522[0:SpR:802.2,83096.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v,tc_bool),u,x),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_False))*.
% 299.97/300.62 83699[0:Res:83409.0,352.0] || hBOOL(c_in(hAPP(c_Set_Oinsert(c_False,u),v),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(c_HOL_Ominus__class_Ominus(y,tc_bool),u,z),x,tc_fun(x1,tc_bool)),y))*.
% 299.97/300.62 83687[0:SpR:803.2,83409.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(w,tc_bool),u,x),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,u)),w))*.
% 299.97/300.62 83686[0:SpR:802.2,83409.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),v)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(w,tc_bool),u,x),c_SetInterval_Oord__class_OatLeastAtMost(c_False,v,u)),w))*.
% 299.97/300.62 83961[0:SpR:167.1,23916.1] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),v_x)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),v)),hAPP(w,v_x)))*.
% 299.97/300.62 83960[0:SpR:168.1,23916.1] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),v_x)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),v)),hAPP(w,v_x)))*.
% 299.97/300.62 83956[0:SpR:342.1,23916.1] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),v_x)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),v)),hAPP(w,v_x)))*.
% 299.97/300.62 83955[0:SpR:343.1,23916.1] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),v_x)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),v)),hAPP(w,v_x)))*.
% 299.97/300.62 84132[0:Rew:2578.1,83914.2] class_Orderings_Oorder(u) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),v_x))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u),v)),hAPP(w,v_x)))*.
% 299.97/300.62 84134[0:Rew:1597.1,83909.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u),v)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),v_x)),hAPP(w,v_x)))*.
% 299.97/300.62 86662[0:SpL:86619.1,461.0] || hBOOL(u) equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OInf__class_OInf(tc_bool)),u),u)**.
% 299.97/300.62 89069[0:SpR:22632.0,22324.0] || -> hBOOL(c_in(hAPP(c_fequal(u),hAPP(v,w)),hAPP(c_Set_Oimage(c_Set_Oimage(v,x,u),y,z),hAPP(c_Set_Oinsert(hAPP(c_fequal(x),w),y),x1)),z))*.
% 299.97/300.62 89052[0:SpR:5293.1,22324.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(hAPP(c_fequal(u),v),hAPP(c_Set_Oimage(c_Set_Oinsert(v,u),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u),w),z)),x))*.
% 299.97/300.62 89051[0:SpR:5161.1,22324.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(hAPP(c_fequal(u),v),hAPP(c_Set_Oimage(c_Set_Oinsert(v,u),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(y,y,u),w),z)),x))*.
% 299.97/300.62 89006[0:SpR:5278.2,22324.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u),v),y)),w))*.
% 299.97/300.62 89005[0:SpR:5147.2,22324.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,x,u),v),y)),w))*.
% 299.97/300.62 88991[0:SpR:27005.0,22324.0] || -> hBOOL(c_in(c_COMBK(c_False,tc_bool,u),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w,x),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(y,u),v),w),z)),x))*.
% 299.97/300.62 88981[0:SpR:5277.2,22324.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u),v),y)),w))*.
% 299.97/300.62 88980[0:SpR:5146.2,22324.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,x,u),v),y)),w))*.
% 299.97/300.62 88979[0:SpR:21031.1,22324.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_Complete__Lattice_OSup__class_OSup(tc_bool),u),w)),v))*.
% 299.97/300.62 88916[0:SpR:1523.1,22324.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),hAPP(c_Set_Oimage(c_Set_Oinsert(v,u),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w),y)),x))*.
% 299.97/300.62 88876[0:SpR:5398.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w,x),hAPP(c_Set_Oinsert(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),y),w),z)),x))*.
% 299.97/300.62 88872[0:SpR:11.1,22324.0] class_Lattices_Olattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y),w),z)),x))*.
% 299.97/300.62 88869[0:SpR:3.1,22324.0] class_Lattices_Olattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y),w),z)),x))*.
% 299.97/300.62 88858[0:SpR:2367.1,22324.0] class_Lattices_Olattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v),w),z)),x))*.
% 299.97/300.62 88857[0:SpR:2281.1,22324.0] class_Lattices_Olattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),v),w),z)),x))*.
% 299.97/300.62 88840[0:SpR:1091.0,22324.0] || -> hBOOL(c_in(c_COMBK(c_False,tc_bool,u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.62 88831[0:SpR:279.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.62 88830[0:SpR:167.1,22324.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x,y),hAPP(c_Set_Oinsert(v,x),z)),y))*.
% 299.97/300.62 88829[0:SpR:168.1,22324.0] class_Lattices_Olattice(u) || -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x,y),hAPP(c_Set_Oinsert(v,x),z)),y))*.
% 299.97/300.62 88827[0:SpR:1597.1,22324.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w),hAPP(c_Set_Oimage(hAPP(c_fequal(u),w),x,y),hAPP(c_Set_Oinsert(v,x),z)),y))*.
% 299.97/300.62 88825[0:SpR:342.1,22324.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x,y),hAPP(c_Set_Oinsert(v,x),z)),y))*.
% 299.97/300.62 88824[0:SpR:343.1,22324.0] class_Lattices_Olattice(u) || -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x,y),hAPP(c_Set_Oinsert(v,x),z)),y))*.
% 299.97/300.62 88819[0:SpR:1119.0,22324.0] || -> hBOOL(c_in(c_COMBK(c_False,tc_bool,u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w,x),hAPP(c_Set_Oinsert(c_COMBK(c_False,tc_bool,u),w),y)),x))*.
% 299.97/300.62 88808[0:SpR:5527.2,22324.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),w),y)),x))*.
% 299.97/300.62 88805[0:SpR:5674.2,22324.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.62 88804[0:SpR:5789.2,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.62 88803[0:SpR:5279.1,22324.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u),w),z)),x))*.
% 299.97/300.62 88802[0:SpR:5148.1,22324.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(y,y,u),w),z)),x))*.
% 299.97/300.62 88801[0:SpR:280.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),w),y)),x))*.
% 299.97/300.62 88785[0:SpR:5276.1,22324.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u)),x,y),hAPP(c_Set_Oinsert(v,x),z)),y))*.
% 299.97/300.62 88784[0:SpR:5145.1,22324.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u)),x,y),hAPP(c_Set_Oinsert(v,x),z)),y))*.
% 299.97/300.62 88774[0:SpR:5441.2,22324.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.62 88773[0:SpR:5861.2,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.62 88771[0:SpR:5371.2,22324.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),w),y)),x))*.
% 299.97/300.62 88739[0:SpR:1597.1,22324.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(hAPP(hAPP(c_fequal(u),v),w),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),x,y),hAPP(c_Set_Oinsert(v,x),z)),y))*.
% 299.97/300.62 88738[0:SpR:2578.1,22324.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(hAPP(hAPP(c_fequal(u),v),w),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),x,y),hAPP(c_Set_Oinsert(w,x),z)),y))*.
% 299.97/300.62 88737[0:SpR:2594.1,22324.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),x,y),hAPP(c_Set_Oinsert(v,x),z)),y))*.
% 299.97/300.62 88734[0:SpR:2578.1,22324.0] class_Orderings_Oorder(u) || -> hBOOL(c_in(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w),hAPP(c_Set_Oimage(hAPP(c_fequal(u),v),x,y),hAPP(c_Set_Oinsert(w,x),z)),y))*.
% 299.97/300.62 89129[0:SpR:87864.1,361.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.62 89191[0:SpR:15551.0,87256.2] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),c_False))* hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)))) -> hBOOL(u).
% 299.97/300.62 89326[0:Res:323.2,85358.0] || hBOOL(c_in(u,v,tc_bool))* hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),w)))* -> hBOOL(c_in(u,w,tc_bool))* hBOOL(u).
% 299.97/300.62 89980[0:SpL:410.0,18905.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x))),hAPP(c_Set_Oinsert(v,u),x)))* -> .
% 299.97/300.62 90087[0:SpL:411.0,19117.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x))),hAPP(c_Set_Oinsert(v,u),w)))* -> .
% 299.97/300.62 90391[0:SpR:5566.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),y),w),z)),v))*.
% 299.97/300.62 90386[0:SpR:5566.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),u)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u),y))))*.
% 299.97/300.62 90384[0:SpR:5566.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),v,x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v))**.
% 299.97/300.62 90589[0:SpR:90441.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),v),x,u)))*.
% 299.97/300.62 90588[0:SpR:90441.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),v),x,u)),v))*.
% 299.97/300.62 90842[0:SpR:5568.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),v),w),z)),v))*.
% 299.97/300.62 90837[0:SpR:5568.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),u)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),u))))*.
% 299.97/300.62 90835[0:SpR:5568.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v),v,x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v))**.
% 299.97/300.62 91134[0:SpR:8036.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),y),v),w),z)),v))*.
% 299.97/300.62 91129[0:SpR:8036.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),y),u))))*.
% 299.97/300.62 91127[0:SpR:8036.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),v),v,x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v))**.
% 299.97/300.62 91338[0:Res:323.2,88451.0] || hBOOL(c_in(u,v,w))* hBOOL(u) -> hBOOL(c_in(u,x,w))* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x)))*.
% 299.97/300.62 91448[0:SpR:8037.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),y),w),z)),v))*.
% 299.97/300.62 91443[0:SpR:8037.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),u),y))))*.
% 299.97/300.62 91441[0:SpR:8037.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),v,x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v))**.
% 299.97/300.62 91654[0:SpR:613.0,8786.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x)),hAPP(c_Set_Oinsert(u,v),x),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))**.
% 299.97/300.62 91848[0:SpR:613.0,8941.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x)),hAPP(c_Set_Oinsert(u,v),x),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))**.
% 299.97/300.62 92229[0:SpL:405.0,84466.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(u,v,tc_bool),hAPP(c_Set_Oinsert(w,v),x))))* -> hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(u,v,tc_bool),x))).
% 299.97/300.62 92280[0:SpR:405.0,84656.1] || hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(u,v,tc_bool),w))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(u,v,tc_bool),hAPP(c_Set_Oinsert(x,v),w))))*.
% 299.97/300.62 92441[0:SpR:341.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v_x),v),tc_bool),hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v)),v_x)),c_False)**.
% 299.97/300.62 92421[0:SpR:757.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(u,v),v_x),tc_bool),hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_fequal(v),u))),v_x)),c_False)**.
% 299.97/300.62 92405[0:SpR:3059.1,86793.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v_x) -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,t_a),c_Set_Oinsert(w,u)),v_x)),c_False)**.
% 299.97/300.62 92361[0:SpR:405.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oimage(u,v,t_a),w),v_x),tc_bool),hAPP(hAPP(c_Set_Oimage(u,v,t_a),hAPP(c_Set_Oinsert(x,v),w)),v_x)),c_False)**.
% 299.97/300.62 92327[0:SpR:86793.0,4377.1] || hBOOL(c_in(hAPP(hAPP(c_Set_Oinsert(u,t_a),v),v_x),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(hAPP(v,v_x),tc_bool),x,y),w),c_False))*.
% 299.97/300.62 92858[0:SpR:13508.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(u,tc_bool)),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))))),c_False))*.
% 299.97/300.62 92857[0:SpR:13507.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(u,tc_bool)),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))))),c_False))*.
% 299.97/300.62 92844[0:SpR:13604.1,24257.0] || hBOOL(hAPP(u,c_False)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_fun(v,tc_bool)),w),hAPP(c_Set_Oinsert(x,tc_bool),u))),c_False))*.
% 299.97/300.62 92831[0:SpR:86793.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(hAPP(u,v_x),tc_bool),tc_fun(v,tc_bool)),w),hAPP(hAPP(c_Set_Oinsert(x,t_a),u),v_x))),c_False))*.
% 299.97/300.62 92828[0:SpR:13719.1,24257.0] || -> equal(u,c_False) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),tc_fun(w,tc_bool)),x),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))),v))*.
% 299.97/300.62 92827[2:SpR:50408.1,24257.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),tc_fun(w,tc_bool)),x),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))),v))*.
% 299.97/300.62 92826[0:SpR:9857.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),tc_fun(v,tc_bool)),w),x)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)))*.
% 299.97/300.62 92825[0:SpR:8976.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),tc_fun(v,tc_bool)),w),x)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)))*.
% 299.97/300.62 92824[0:SpR:9624.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_fun(tc_bool,tc_bool)),tc_fun(v,tc_bool)),w),x)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)))*.
% 299.97/300.62 92823[0:SpR:8803.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),tc_fun(v,tc_bool)),w),x)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)))*.
% 299.97/300.62 92810[0:SpR:5292.1,24257.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),tc_fun(w,tc_bool)),x),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u))),v))*.
% 299.97/300.62 92809[0:SpR:5160.1,24257.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),tc_fun(w,tc_bool)),x),c_SetInterval_Oord__class_OatLeastLessThan(y,y,u))),v))*.
% 299.97/300.62 92739[0:SpR:1010.2,24257.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OSup__class_OSup(u),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OatLeastAtMost(x,x,u))),x))*.
% 299.97/300.62 92738[0:SpR:1009.2,24257.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(u),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OatLeastAtMost(x,x,u))),x))*.
% 299.97/300.62 92736[0:SpR:251.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_COMBC(u,v,w,x),y),tc_fun(z,tc_bool)),x1),x2)),hAPP(hAPP(u,x2),y)))*.
% 299.97/300.62 92730[0:SpR:59886.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),tc_fun(v,tc_bool)),w),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),x)))),u))*.
% 299.97/300.62 92682[0:SpR:611.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(u,v),tc_fun(w,tc_bool)),x),hAPP(c_Set_Oinsert(u,v),y))),hAPP(c_Set_Oinsert(u,v),y)))*.
% 299.97/300.62 92672[0:SpR:34558.1,24257.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),tc_fun(w,tc_bool)),x),u)),v))*.
% 299.97/300.62 92657[0:SpR:34559.1,24257.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),tc_fun(v,tc_bool)),w),x)),x))*.
% 299.97/300.62 92590[0:SpR:5430.2,24257.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_fun(w,tc_bool)),x),c_Orderings_Obot__class_Obot(u))),v))*.
% 299.97/300.62 92579[0:SpR:707.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),tc_fun(w,tc_bool)),x),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))),c_COMBK(c_False,tc_bool,v)))*.
% 299.97/300.62 92575[0:SpR:5685.2,24257.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_fun(w,tc_bool)),x),c_Orderings_Otop__class_Otop(u))),v))*.
% 299.97/300.62 92572[0:SpR:65.1,24257.0] || -> equal(u,v) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Fun_Ofun__upd(w,v,x,y,z),tc_fun(x1,tc_bool)),x2),u)),hAPP(w,u)))*.
% 299.97/300.62 92549[0:SpR:708.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool)),tc_fun(v,tc_bool)),w),x)),c_COMBK(c_False,tc_bool,u)))*.
% 299.97/300.62 92540[0:SpR:5538.2,24257.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),tc_fun(v,tc_bool)),w),x)),x))*.
% 299.97/300.62 92539[0:SpR:5860.2,24257.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),tc_fun(v,tc_bool)),w),x)),x))*.
% 299.97/300.62 92538[0:SpR:14438.2,24257.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),tc_fun(v,tc_bool)),w),x)),x))*.
% 299.97/300.62 92536[0:SpR:5360.2,24257.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),tc_fun(v,tc_bool)),w),x)),x))*.
% 299.97/300.62 92535[0:SpR:5792.2,24257.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),tc_fun(v,tc_bool)),w),x)),x))*.
% 299.97/300.62 92534[0:SpR:12371.2,24257.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),tc_fun(v,tc_bool)),w),x)),x))*.
% 299.97/300.62 92966[0:SSi:92936.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(u,v)),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(x,tc_bool)),y),v)),w))*.
% 299.97/300.62 92967[0:SSi:92935.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,v)),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(x,tc_bool)),y),v)),w))*.
% 299.97/300.62 92968[0:SSi:92934.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x),y)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(v,y))).
% 299.97/300.62 92969[0:SSi:92933.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x),y)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(v,y))).
% 299.97/300.62 93030[0:SpR:54506.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),v_x))),v_x)),c_False)**.
% 299.97/300.62 93029[0:SpR:54506.0,73586.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),v_x)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.62 93028[0:SpR:54506.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),v_x)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),w))*.
% 299.97/300.62 93027[0:SpR:54506.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),v_x)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v_x))*.
% 299.97/300.62 93021[0:SpR:54506.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),x,y),hAPP(c_Set_Oinsert(w,x),z)),w))*.
% 299.97/300.62 93016[0:SpR:54506.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),u))),u)))*.
% 299.97/300.62 93015[0:SpR:54506.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u)),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.62 93255[0:SpR:93108.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),hAPP(c_Set_Oinsert(y,x),u)),w,z),v),z))*.
% 299.97/300.62 93563[0:SpR:55320.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(v_x,tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),v_x),w))),v_x)),c_False)**.
% 299.97/300.62 93562[0:SpR:55320.0,73586.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v_x),v)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v_x)).
% 299.97/300.62 93561[0:SpR:55320.0,26440.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v_x),v)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x),w))*.
% 299.97/300.62 93560[0:SpR:55320.0,26165.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v_x),v)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v_x))*.
% 299.97/300.62 93554[0:SpR:55320.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),x,y),hAPP(c_Set_Oinsert(v,x),z)),v))*.
% 299.97/300.62 93549[0:SpR:55320.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u),y))),u)))*.
% 299.97/300.62 93548[0:SpR:55320.0,248.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w)),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.62 93861[0:Res:84403.1,352.0] || hBOOL(u) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x,tc_fun(y,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),z)))*.
% 299.97/300.62 93885[0:SSi:93819.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),x))))*.
% 299.97/300.62 93886[0:SSi:93818.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x)),v)))*.
% 299.97/300.62 93887[0:SSi:93792.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),x))))*.
% 299.97/300.62 93956[0:Res:93877.1,352.0] || hBOOL(u) hBOOL(c_in(c_False,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Oord__class_Oless(tc_bool),w,tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),y)))*.
% 299.97/300.62 93982[0:SSi:93933.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))))*.
% 299.97/300.62 93983[0:SSi:93932.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)),v)))*.
% 299.97/300.62 93984[0:SSi:93906.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))))*.
% 299.97/300.62 94053[0:Res:93968.1,352.0] || hBOOL(u) hBOOL(c_in(c_False,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Oord__class_Oless(tc_bool),w,tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),u)))*.
% 299.97/300.62 94082[0:SSi:94030.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v))))*.
% 299.97/300.62 94083[0:SSi:94029.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u)),v)))*.
% 299.97/300.62 94084[0:SSi:94028.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v))))*.
% 299.97/300.62 94183[0:SSi:94128.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),x))))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),x)).
% 299.97/300.62 94184[0:SSi:94127.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),x))))* -> hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),x)).
% 299.97/300.62 94185[0:SSi:94123.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),x)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),x)).
% 299.97/300.62 94220[0:Res:87830.1,170.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),u)),x))*.
% 299.97/300.62 94219[0:Res:87830.1,169.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),u)),w))*.
% 299.97/300.62 94389[0:SSi:94335.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),x))))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)).
% 299.97/300.62 94390[0:SSi:94330.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),x)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),x)).
% 299.97/300.62 94391[0:SSi:94311.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),x))))* -> hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)).
% 299.97/300.62 94479[0:Res:84655.1,352.0] || hBOOL(u) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x,tc_fun(y,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),z),u)))*.
% 299.97/300.62 94503[0:SSi:94437.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),v))))*.
% 299.97/300.62 94504[0:SSi:94436.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),u)),v)))*.
% 299.97/300.62 94505[0:SSi:94435.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),v))))*.
% 299.97/300.62 94578[0:Res:412.1,16791.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* equal(v,hAPP(c_Set_Oinsert(x,u),w))* -> equal(hAPP(c_Set_Oinsert(x,u),w),v).
% 299.97/300.62 94635[0:SSi:94572.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(w,tc_bool)))* equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(w,tc_bool)),v),u) -> equal(u,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(w,tc_bool)),v)).
% 299.97/300.62 94636[0:SSi:94570.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(w,tc_bool)))* equal(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(w,tc_bool)),v)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(w,tc_bool)),v),u).
% 299.97/300.62 94766[0:SpR:613.0,17248.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),hAPP(c_Set_Oinsert(x,u),hAPP(c_Set_Oinsert(v,u),hAPP(c_Set_Oinsert(y,u),w)))))*.
% 299.97/300.62 95057[0:Res:10597.1,1473.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x),v)* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),y),u),w,v)*.
% 299.97/300.62 95056[0:Res:10597.1,1485.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x),v)* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),y),u),x,v)*.
% 299.97/300.62 95015[0:SpR:243.0,10597.1] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),y),u)),v,w)*.
% 299.97/300.62 95292[0:Res:10598.1,1473.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x),v)* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),u),y),w,v)*.
% 299.97/300.62 95291[0:Res:10598.1,1485.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x),v)* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),u),y),x,v)*.
% 299.97/300.62 95285[0:SpR:244.0,10598.1] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),u),y)),v,w)*.
% 299.97/300.62 95518[0:Res:1493.1,10618.0] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),x,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),y),x),u)*.
% 299.97/300.62 95517[0:Res:1447.1,10618.0] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),x,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),y),u)*.
% 299.97/300.62 95524[0:SSi:95482.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),x)),y,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,y,u).
% 299.97/300.62 95733[0:Res:1493.1,10619.0] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),x,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),y),x),u)*.
% 299.97/300.62 95732[0:Res:1447.1,10619.0] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),x,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),y),u)*.
% 299.97/300.62 95740[0:SSi:95718.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),x)),y,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(w,y,u).
% 299.97/300.62 95877[0:SpR:13635.1,22323.0] || -> hBOOL(c_in(u,v,w)) hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x,y),hAPP(c_Set_Oinsert(hAPP(c_fequal(w),u),x),z)),v))*.
% 299.97/300.62 95872[0:SpR:13635.1,24254.0] || -> hBOOL(c_in(u,v,w)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(x,y),c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool))),hAPP(c_fequal(w),u))))*.
% 299.97/300.62 96025[0:Res:21881.1,4686.0] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_fequal(z),w,tc_fun(x1,tc_bool))),c_False))*.
% 299.97/300.62 96021[0:Res:21881.1,531.0] || hBOOL(c_in(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_fequal(v),w,tc_fun(x,tc_bool))),u,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_fequal(v),w,tc_fun(x,tc_bool)),c_False)).
% 299.97/300.62 96091[0:Res:87828.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(u),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.62 96186[0:Res:87846.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(y,tc_bool)),c_False))*.
% 299.97/300.62 96312[0:Res:791.0,93800.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w,t_a)),t_a)* hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v)))*.
% 299.97/300.62 96311[0:Res:792.0,93800.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w,t_a)),t_a)* hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v)))*.
% 299.97/300.62 96310[0:Res:793.0,93800.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w,t_a)),t_a)* hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),v_sko__Hoare__Mirabelle__Xescape__2(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v)))*.
% 299.97/300.62 96323[0:SSi:96303.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)))*.
% 299.97/300.62 96324[0:SSi:96302.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w)))*.
% 299.97/300.62 96325[0:SSi:96298.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)))*.
% 299.97/300.62 96378[0:Res:791.0,93804.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w,t_a)),t_a)* hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v)))*.
% 299.97/300.62 96377[0:Res:792.0,93804.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w,t_a)),t_a)* hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v)))*.
% 299.97/300.62 96376[0:Res:793.0,93804.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w,t_a)),t_a)* hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),v_sko__Hoare__Mirabelle__Xescape__1(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v)))*.
% 299.97/300.62 96388[0:SSi:96369.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))*.
% 299.97/300.62 96389[0:SSi:96364.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)))*.
% 299.97/300.62 96390[0:SSi:96345.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)))*.
% 299.97/300.62 96443[0:Res:791.0,94130.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w,t_a)),t_a)* hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v)),x))*.
% 299.97/300.62 96442[0:Res:792.0,94130.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w,t_a)),t_a)* hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v)),x))*.
% 299.97/300.62 96441[0:Res:793.0,94130.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w,t_a)),t_a)* hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_sko__Hoare__Mirabelle__Xescape__2(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v)),x))*.
% 299.97/300.62 96455[0:SSi:96434.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)),x))*.
% 299.97/300.62 96456[0:SSi:96433.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w)),x))*.
% 299.97/300.62 96457[0:SSi:96429.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),x))*.
% 299.97/300.62 96554[0:Res:96435.1,352.0] || hBOOL(u) hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x,tc_fun(y,tc_bool)),z))*.
% 299.97/300.62 96580[0:SSi:96503.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v))),x))*.
% 299.97/300.62 96581[0:SSi:96502.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u)),v)),x))*.
% 299.97/300.62 96583[0:SSi:96582.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),x))))*.
% 299.97/300.62 96719[0:Res:96436.1,352.0] || hBOOL(u) hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x,tc_fun(y,tc_bool)),z))*.
% 299.97/300.62 96747[0:SSi:96668.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))),x))*.
% 299.97/300.62 96748[0:SSi:96667.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)),v)),x))*.
% 299.97/300.62 96803[0:Res:791.0,96451.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w,t_a)),t_a)* hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v)),x))*.
% 299.97/300.62 96802[0:Res:792.0,96451.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w,t_a)),t_a)* hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v)),x))*.
% 299.97/300.62 96801[0:Res:793.0,96451.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w,t_a)),t_a)* hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_sko__Hoare__Mirabelle__Xescape__1(u,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,v)),x))*.
% 299.97/300.62 96813[0:SSi:96794.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),x))*.
% 299.97/300.62 96814[0:SSi:96789.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)),x))*.
% 299.97/300.62 96815[0:SSi:96770.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),x))*.
% 299.97/300.62 96891[0:Res:87827.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.62 97052[0:Res:87839.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.62 97145[0:SpL:405.0,94804.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oimage(w,x,v),hAPP(c_Set_Oinsert(y,x),z))),v)* -> c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(w,x,v),z),v).
% 299.97/300.62 97605[0:SpR:9870.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Set_Oimage(w,tc_bool,u)),x),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool))))*.
% 299.97/300.62 97604[0:SpR:8989.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Set_Oimage(w,tc_bool,u)),x),c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool))))*.
% 299.97/300.62 97603[0:SpR:9637.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Set_Oimage(w,tc_bool,u)),x),c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool))))*.
% 299.97/300.62 97602[0:SpR:8816.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Set_Oimage(w,tc_bool,u)),x),c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool))))*.
% 299.97/300.62 97553[0:SpR:12684.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OInf__class_OInf(tc_bool)),w),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u))))*.
% 299.97/300.62 97551[0:SpR:29198.1,24259.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OInf__class_OInf(tc_bool)),w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,u,tc_bool))))*.
% 299.97/300.62 97547[0:SpR:29746.1,24259.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OInf__class_OInf(tc_bool)),w),c_SetInterval_Oord__class_OatLeastLessThan(x,u,tc_bool))))*.
% 299.97/300.62 97513[0:SpR:20177.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),c_Finite__Set_Ofold1Set(w,hAPP(c_fequal(x),c_Orderings_Otop__class_Otop(tc_bool)),x))))*.
% 299.97/300.62 97493[0:SpR:20252.1,24259.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)))))*.
% 299.97/300.62 97492[0:SpR:20163.1,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)))))*.
% 299.97/300.62 97491[0:SpR:20167.1,24259.0] class_Orderings_Obot(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)))))*.
% 299.97/300.62 97488[0:SpR:20253.1,24259.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)))))*.
% 299.97/300.62 97487[0:SpR:20249.1,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97486[0:SpR:20250.1,24259.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97485[0:SpR:20251.1,24259.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97484[0:SpR:20246.1,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97483[0:SpR:20247.1,24259.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97482[0:SpR:20248.1,24259.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97480[0:SpR:20157.1,24259.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97479[0:SpR:20158.1,24259.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97478[0:SpR:20159.1,24259.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97477[0:SpR:20160.1,24259.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97476[0:SpR:20161.1,24259.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97475[0:SpR:20162.1,24259.0] class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97474[0:SpR:87864.1,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97471[0:SpR:20209.1,24259.0] || -> equal(c_Orderings_Otop__class_Otop(tc_bool),u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),hAPP(c_HOL_Oord__class_Oless(tc_bool),u))))*.
% 299.97/300.62 97463[0:SpR:20303.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))))))*.
% 299.97/300.62 97461[0:SpR:20345.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x)))))*.
% 299.97/300.62 97460[0:SpR:20330.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_lessequals(tc_bool),x)))))*.
% 299.97/300.62 97459[0:SpR:20287.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)))))*.
% 299.97/300.62 97444[0:SpR:149.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,hAPP(v,w))),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_COMBB(u,v,y,z,x1)),x2),w)))*.
% 299.97/300.62 97443[0:SpR:424.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,hAPP(v,w))),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_Fun_Ocomp(u,v,y,z,x1)),x2),w)))*.
% 299.97/300.62 97437[0:SpR:64010.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),w),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)))))*.
% 299.97/300.62 97435[0:SpR:63959.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),w),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)))))*.
% 299.97/300.62 97388[0:SpR:2678.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),u)),x),hAPP(c_Set_Oinsert(y,w),u))))*.
% 299.97/300.62 97383[0:SpR:93108.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),hAPP(c_Set_Oinsert(x,w),u))),y),u)))*.
% 299.97/300.62 97378[0:SpR:59170.1,24259.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w)),x),u)))*.
% 299.97/300.62 97362[0:SpR:58781.1,24259.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)),w),x)))*.
% 299.97/300.62 97292[0:SpR:691.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Set_Oimage(w,x,u)),y),c_COMBK(c_False,tc_bool,x))))*.
% 299.97/300.62 97226[0:SpR:244.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u),y)),v)))*.
% 299.97/300.62 98115[0:SpR:9870.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Set_Oimage(x,tc_bool,u)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool))))*.
% 299.97/300.62 98114[0:SpR:8989.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Set_Oimage(x,tc_bool,u)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool))))*.
% 299.97/300.62 98113[0:SpR:9637.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Set_Oimage(x,tc_bool,u)),c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool))))*.
% 299.97/300.62 98112[0:SpR:8816.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Set_Oimage(x,tc_bool,u)),c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool))))*.
% 299.97/300.62 98063[0:SpR:12684.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OInf__class_OInf(tc_bool)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u))))*.
% 299.97/300.62 98061[0:SpR:29198.1,24260.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,u,tc_bool))))*.
% 299.97/300.62 98057[0:SpR:29746.1,24260.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,u,tc_bool))))*.
% 299.97/300.62 98023[0:SpR:20177.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Finite__Set_Ofold1Set(w,hAPP(c_fequal(x),c_Orderings_Otop__class_Otop(tc_bool)),x))))*.
% 299.97/300.62 98003[0:SpR:20252.1,24260.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)))))*.
% 299.97/300.62 98002[0:SpR:20163.1,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)))))*.
% 299.97/300.62 98001[0:SpR:20167.1,24260.0] class_Orderings_Obot(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)))))*.
% 299.97/300.62 97998[0:SpR:20253.1,24260.0] class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)))))*.
% 299.97/300.62 97997[0:SpR:20249.1,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97996[0:SpR:20250.1,24260.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97995[0:SpR:20251.1,24260.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97994[0:SpR:20246.1,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97993[0:SpR:20247.1,24260.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97992[0:SpR:20248.1,24260.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97990[0:SpR:20157.1,24260.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97989[0:SpR:20158.1,24260.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97988[0:SpR:20159.1,24260.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97987[0:SpR:20160.1,24260.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97986[0:SpR:20161.1,24260.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97985[0:SpR:20162.1,24260.0] class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97984[0:SpR:87864.1,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)))))*.
% 299.97/300.62 97981[0:SpR:20209.1,24260.0] || -> equal(c_Orderings_Otop__class_Otop(tc_bool),u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_HOL_Oord__class_Oless(tc_bool),u))))*.
% 299.97/300.62 97973[0:SpR:20303.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Set_Oinsert(w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))))))*.
% 299.97/300.62 97971[0:SpR:20345.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x)))))*.
% 299.97/300.62 97970[0:SpR:20330.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_lessequals(tc_bool),x)))))*.
% 299.97/300.62 97969[0:SpR:20287.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)))))*.
% 299.97/300.62 97954[0:SpR:149.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,hAPP(v,w))),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),c_COMBB(u,v,z,x1,x2)),w)))*.
% 299.97/300.62 97953[0:SpR:424.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,hAPP(v,w))),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),c_Fun_Ocomp(u,v,z,x1,x2)),w)))*.
% 299.97/300.62 97947[0:SpR:64010.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)))))*.
% 299.97/300.62 97945[0:SpR:63959.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)))))*.
% 299.97/300.62 97898[0:SpR:2678.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),u)),hAPP(c_Set_Oinsert(y,x),u))))*.
% 299.97/300.62 97893[0:SpR:93108.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),hAPP(c_Set_Oinsert(y,x),u))),u)))*.
% 299.97/300.62 97888[0:SpR:59170.1,24260.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x)),u)))*.
% 299.97/300.62 97872[0:SpR:58781.1,24260.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)),x)))*.
% 299.97/300.62 97802[0:SpR:691.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Set_Oimage(x,y,u)),c_COMBK(c_False,tc_bool,y))))*.
% 299.97/300.62 97693[0:SpR:243.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(u,v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),y),u)),v)))*.
% 299.97/300.62 98259[0:Res:5045.2,503.1] class_Orderings_Olinorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(v,w)),w))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(v,u)),w))*.
% 299.97/300.62 98379[0:SSi:98352.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),w))* -> hBOOL(c_in(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),w),u))*.
% 299.97/300.62 98380[0:SSi:98351.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),w))* -> hBOOL(c_in(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x),u))*.
% 299.97/300.62 98392[0:SpL:613.0,98370.0] || equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x)),hAPP(c_Set_Oinsert(u,v),x))** -> hBOOL(c_in(w,hAPP(c_Set_Oinsert(u,v),x),v)).
% 299.97/300.62 98519[0:SpR:410.0,12203.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),u),w))),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.62 98600[0:SpR:64085.0,22324.0] || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),u),x)),v))*.
% 299.97/300.62 98665[0:SpL:405.0,12274.0] || c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(v,w,tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(x,w),y))),u)* -> c_Finite__Set_Ofinite(hAPP(v,x),u).
% 299.97/300.62 98816[0:SpR:410.0,12493.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),u),w))),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.62 98877[0:SpR:92404.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v_x,tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False)),v_x),u),x)),v))*.
% 299.97/300.62 98934[0:SpR:92438.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v_x,tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v_x)),v_x),u),x)),v))*.
% 299.97/300.62 98991[0:SpR:92468.0,22324.0] || -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v_x,tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x)),v_x),u),x)),v))*.
% 299.97/300.62 99461[0:Res:13059.2,4686.0] class_Orderings_Otop(u) class_Orderings_Olinorder(u) || -> equal(v,c_Orderings_Otop__class_Otop(u)) hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_HOL_Oord__class_Oless(u),v)),c_False))*.
% 299.97/300.62 99752[0:Res:13309.2,4686.0] class_Orderings_Otop(u) class_Orderings_Oorder(u) || -> equal(c_Orderings_Otop__class_Otop(u),v) hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_HOL_Oord__class_Oless(u),v)),c_False))*.
% 299.97/300.62 99873[0:Res:99518.1,352.0] || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u))* hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_bool),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.62 100511[0:Res:100450.1,352.0] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),x),c_Orderings_Otop__class_Otop(tc_bool))) hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_bool),w,tc_fun(y,tc_bool)),x))*.
% 299.97/300.62 100473[0:Res:100450.0,352.0] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),x),u))* hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Oord__class_Oless(tc_bool),w,tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 100820[0:SpR:100666.1,24260.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_HOL_Oord__class_Oless(tc_bool),u))))*.
% 299.97/300.62 100819[0:SpR:100666.1,24259.0] || equal(c_False,u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),hAPP(c_HOL_Oord__class_Oless(tc_bool),u))))*.
% 299.97/300.62 100809[0:SpR:100666.1,361.1] || equal(c_False,u) hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.62 101389[0:SSi:101377.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),x),y)),v))* -> hBOOL(c_in(u,x,v)).
% 299.97/300.62 101399[0:SpR:101313.0,361.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),u,v))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u),w))*.
% 299.97/300.62 101533[0:SpL:8037.0,5905.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),v) c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),u)* -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.62 101532[0:SpL:8036.0,5905.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),w) c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),u)* -> c_Finite__Set_Ofinite(w,u).
% 299.97/300.62 101944[0:Res:733.1,101661.0] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,hAPP(hAPP(c_fequal(t_a),v_x),v_x),u),c_COMBK(c_False,tc_bool,u))** hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),v))).
% 299.97/300.62 101943[0:Res:734.1,101661.0] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,hAPP(hAPP(c_fequal(t_a),v_x),v_x),u),c_COMBK(c_False,tc_bool,u))** hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),v))).
% 299.97/300.62 101925[0:Res:724.1,101661.0] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_fequal(t_a),v_x),v_x),u),c_COMBK(c_False,tc_bool,u))** hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v))).
% 299.97/300.62 101923[0:Res:165.2,101661.0] class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v)** -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v))).
% 299.97/300.62 101921[0:Res:26.1,101661.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_fequal(t_a),v_x),v_x)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),v))).
% 299.97/300.62 101873[0:Res:435.1,101661.0] || hBOOL(c_in(v_x,u,v)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,hAPP(c_fequal(t_a),v_x),v,tc_fun(w,tc_bool)))))*.
% 299.97/300.62 101866[0:Res:457.2,101661.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(hAPP(c_fequal(t_a),v_x),v_x),v,u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),v))))*.
% 299.97/300.62 101773[0:SpL:341.0,101661.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v))).
% 299.97/300.62 101753[0:SpL:757.0,101661.0] || hBOOL(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_fequal(t_a),v_x),v_x))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_fequal(v),u))))*.
% 299.97/300.62 102079[0:SpL:54506.0,5955.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w) c_Finite__Set_Ofinite(w,u) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),u)*.
% 299.97/300.62 102078[0:SpL:55320.0,5955.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),v) c_Finite__Set_Ofinite(v,u) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),u)*.
% 299.97/300.62 102405[0:SpL:149.0,13885.0] || c_Finite__Set_Ofinite(hAPP(u,hAPP(v,w)),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),c_COMBB(u,v,z,x1,x2),y,tc_fun(x,tc_bool)),x)*.
% 299.97/300.62 102404[0:SpL:424.0,13885.0] || c_Finite__Set_Ofinite(hAPP(u,hAPP(v,w)),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),c_Fun_Ocomp(u,v,z,x1,x2),y,tc_fun(x,tc_bool)),x)*.
% 299.97/300.62 102365[0:SpL:2651.0,13885.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),w),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),y,tc_fun(x,tc_bool)),x)*.
% 299.97/300.62 102356[0:SpL:3333.0,13885.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w)),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),c_Set_Oinsert(w,v),y,tc_fun(x,tc_bool)),x)*.
% 299.97/300.62 102344[0:SpL:93108.0,13885.0] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),hAPP(c_Set_Oinsert(y,x),u)),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.62 102608[0:AED:250.0,102238.1] || c_Finite__Set_Ofinite(hAPP(c_fequal(u),v),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),c_Set_Oimage(c_COMBK(v,u,y),y,u),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.62 102699[0:SpR:1091.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),c_COMBK(c_False,tc_bool,u)))).
% 299.97/300.62 102691[0:SpR:279.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))).
% 299.97/300.62 102690[0:SpR:167.1,26903.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),t_a)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),v))))*.
% 299.97/300.62 102689[0:SpR:168.1,26903.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),t_a)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),v))))*.
% 299.97/300.62 102687[0:SpR:1597.1,26903.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_fequal(u),v),t_a)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u),v))))*.
% 299.97/300.62 102685[0:SpR:342.1,26903.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),t_a)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),v))))*.
% 299.97/300.62 102684[0:SpR:343.1,26903.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),t_a)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),v))))*.
% 299.97/300.62 102675[0:SpR:5674.2,26903.1] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.62 102674[0:SpR:5789.2,26903.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.62 102668[0:SpR:5276.1,26903.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.62 102667[0:SpR:5145.1,26903.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.62 102660[0:SpR:5441.2,26903.1] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(u))))*.
% 299.97/300.62 102659[0:SpR:5861.2,26903.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(u))))*.
% 299.97/300.62 102740[0:Rew:2578.1,102644.2] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u),v))))*.
% 299.97/300.62 102639[0:SpR:2578.1,26903.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_fequal(u),v),t_a)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),v_x))))*.
% 299.97/300.62 102826[0:Res:454.1,24826.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(u,tc_bool)),w))*.
% 299.97/300.62 102782[0:Res:2650.0,24826.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_fequal(u),v),hAPP(c_Set_Oinsert(v,u),w),tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)))*.
% 299.97/300.62 102775[0:Res:516.2,24826.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,u)) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(c_Complete__Lattice_OSup__class_OSup(u),w),u),hAPP(c_Complete__Lattice_OSup__class_OSup(u),w)))*.
% 299.97/300.62 102999[0:Res:454.1,25011.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(u,tc_bool)),v))*.
% 299.97/300.62 102950[0:Res:457.2,25011.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,u)) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_Complete__Lattice_OInf__class_OInf(u),w),v,u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),w)))*.
% 299.97/300.62 103089[0:SpL:243.0,26331.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),y))),v)* -> c_Finite__Set_Ofinite(y,v).
% 299.97/300.62 103345[0:SpL:244.0,26728.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),y))),v)* -> c_Finite__Set_Ofinite(x,v).
% 299.97/300.62 103312[0:SpL:294.1,26728.0] || hBOOL(c_in(u,v,w))* c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(x,y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,z,w,tc_fun(y,tc_bool))),y)* -> c_Finite__Set_Ofinite(hAPP(z,u),y)*.
% 299.97/300.62 103409[0:SpR:102900.1,4377.1] class_Orderings_Olinorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),u),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 103509[0:Res:87848.1,24826.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),u),hAPP(c_Set_Oinsert(v,w),x),u),hAPP(c_Set_Oinsert(v,w),x)))*.
% 299.97/300.62 103508[0:Res:87848.1,25011.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),u),hAPP(c_Set_Oinsert(v,w),x),u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),u)))*.
% 299.97/300.62 103484[0:SpR:405.0,87848.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(hAPP(v,w),x),u)),hAPP(c_Set_Oimage(v,y,x),hAPP(c_Set_Oinsert(w,y),z))))*.
% 299.97/300.62 103479[0:SpR:410.0,87848.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),u)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Set_Oinsert(v,w),y))))*.
% 299.97/300.62 103737[0:SpR:803.2,103531.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> c_Hoare__Mirabelle_Ohoare__derivs(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(w,u),tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)),x)*.
% 299.97/300.62 103736[0:SpR:802.2,103531.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> c_Hoare__Mirabelle_Ohoare__derivs(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,u),tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)),x)*.
% 299.97/300.62 103857[0:Res:103776.0,352.0] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))* hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Oord__class_Oless(tc_bool),w,tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 103927[0:SpR:405.0,3790.1] || hBOOL(c_in(u,hAPP(c_fequal(v),hAPP(w,x)),v)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(w,y,v),hAPP(c_Set_Oinsert(x,y),z)),v))*.
% 299.97/300.62 103922[0:SpR:410.0,3790.1] || hBOOL(c_in(u,hAPP(c_fequal(v),w),v)) -> hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),hAPP(c_Set_Oinsert(w,v),y)),v))*.
% 299.97/300.62 104107[0:Res:15681.1,13885.0] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(x,v,y),u),tc_fun(y,tc_bool)),w,tc_fun(y,tc_bool)),y)*.
% 299.97/300.62 104640[0:Res:474.1,21899.0] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),v),c_Set_Oinsert(y,z),w,tc_fun(x1,tc_bool)),y))*.
% 299.97/300.62 104639[0:Res:475.1,21899.0] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),x),c_Set_Oinsert(y,z),w,tc_fun(x1,tc_bool)),y))*.
% 299.97/300.62 104626[0:Res:740.2,21899.0] class_Orderings_Olinorder(u) || c_Finite__Set_Ofinite(v,u) -> equal(v,c_COMBK(c_False,tc_bool,u)) hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(w,x),u,tc_fun(y,tc_bool)),w))*.
% 299.97/300.62 104765[0:SpR:159.0,1397.0] || -> hBOOL(c_in(hAPP(u,v),hAPP(c_Set_Oimage(c_Fun_Ocomp(u,c_Fun_Ofun__upd(w,x,v,y,z),z,x1,y),x2,x3),c_Orderings_Otop__class_Otop(tc_fun(x2,tc_bool))),x3))*.
% 299.97/300.62 105037[0:SSi:105027.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Fun_Oinj__on(u,v,w,x) -> c_Fun_Oinj__on(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),v),z)),w,x)*.
% 299.97/300.62 105350[0:Rew:22632.0,105261.0] || -> equal(hAPP(c_Set_Oimage(c_COMBB(u,c_COMBK(v,w,x),w,y,x),x,y),hAPP(c_Set_Oinsert(z,x),x1)),hAPP(c_fequal(y),hAPP(u,v)))**.
% 299.97/300.62 105354[0:Rew:44578.0,105236.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(u,v),w),c_COMBB(x,c_COMBK(y,z,v),z,tc_fun(x1,tc_bool),v),v,tc_fun(x1,tc_bool)),hAPP(x,y))**.
% 299.97/300.62 106091[0:SpL:1091.0,73923.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),c_False)) -> .
% 299.97/300.62 106083[0:SpL:279.0,73923.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_False)) -> .
% 299.97/300.62 106082[0:SpL:167.1,73923.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),t_a)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),v)),c_False))* -> .
% 299.97/300.62 106081[0:SpL:168.1,73923.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),t_a)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),v)),c_False))* -> .
% 299.97/300.62 106079[0:SpL:1597.1,73923.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_fequal(u),v),t_a)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u),v)),c_False))* -> .
% 299.97/300.62 106077[0:SpL:342.1,73923.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),t_a)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),v)),c_False))* -> .
% 299.97/300.62 106076[0:SpL:343.1,73923.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),t_a)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),v)),c_False))* -> .
% 299.97/300.62 106067[0:SpL:5674.2,73923.1] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),c_False)) -> .
% 299.97/300.62 106066[0:SpL:5789.2,73923.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),c_False)) -> .
% 299.97/300.62 106060[0:SpL:5276.1,73923.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.62 106059[0:SpL:5145.1,73923.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.62 106052[0:SpL:5441.2,73923.1] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),c_False)) -> .
% 299.97/300.62 106051[0:SpL:5861.2,73923.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),c_False)) -> .
% 299.97/300.62 106150[0:Rew:2578.1,106036.2] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u),v)),c_False))* -> .
% 299.97/300.62 106031[0:SpL:2578.1,73923.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_fequal(u),v),t_a)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),v_x)),c_False))* -> .
% 299.97/300.62 106152[0:SSi:106142.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),t_a))* -> .
% 299.97/300.62 106322[0:SpL:106169.0,730.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_fun(u,tc_bool),tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_fun(u,tc_bool))))* -> equal(v,c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool))).
% 299.97/300.62 106504[0:SpL:106281.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),v)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_fun(x,tc_bool)),u)),v))*.
% 299.97/300.62 106459[0:SpR:106281.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_fun(z,tc_bool)),x,u)))*.
% 299.97/300.62 106458[0:SpR:106281.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_fun(z,tc_bool)),x,u)),c_False))*.
% 299.97/300.62 106571[0:Res:533.1,5096.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),c_False)) hBOOL(hAPP(v,w)) -> hBOOL(hAPP(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v)),w))*.
% 299.97/300.62 106787[0:SpL:5228.0,4389.0] || equal(hAPP(c_lessequals(tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool))),c_COMBK(c_False,tc_bool,x))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,u).
% 299.97/300.62 106786[2:SpL:5228.0,49257.0] || equal(c_in(c_False,hAPP(c_lessequals(tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool))),x),c_False)** -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,u).
% 299.97/300.62 106721[0:SpR:5228.0,3649.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_fun(y,tc_bool)),c_COMBK(c_False,tc_bool,y))**.
% 299.97/300.62 106715[0:SpR:5228.0,706.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)))**.
% 299.97/300.62 106709[0:SpR:5228.0,20255.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.62 106707[0:SpR:5228.0,20170.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.62 106850[0:SSi:106803.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool)* -> c_Hoare__Mirabelle_Ohoare__derivs(v,u,w) c_Finite__Set_Ofinite(x,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)).
% 299.97/300.62 107004[0:SpL:106423.0,730.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_fun(u,tc_bool),tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(u,tc_bool))))* -> equal(v,c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool))).
% 299.97/300.62 107150[0:SpL:106967.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),v)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(x,tc_bool)),u)),v))*.
% 299.97/300.62 107105[0:SpR:106967.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_fun(z,tc_bool)),x,u)))*.
% 299.97/300.62 107104[0:SpR:106967.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_fun(z,tc_bool)),x,u)),c_False))*.
% 299.97/300.62 109296[0:SpL:803.2,108008.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool))),v))* -> .
% 299.97/300.62 109295[0:SpL:802.2,108008.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool))),u))* -> .
% 299.97/300.62 109495[0:SpL:803.2,108272.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool))))* -> .
% 299.97/300.62 109494[0:SpL:802.2,108272.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool))))* -> .
% 299.97/300.62 109802[0:SpR:106741.1,24257.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),tc_fun(x,tc_bool)),y),z)),c_False))*.
% 299.97/300.62 109784[0:SpR:106741.1,4377.1] || hBOOL(c_in(u,v,w))* -> c_Hoare__Mirabelle_Ohoare__derivs(x,y,z) hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(y,x,tc_fun(tc_Hoare__Mirabelle_Otriple(z),tc_bool)),w,x1),v),c_False))*.
% 299.97/300.62 110099[0:SpR:79862.1,1397.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(c_Fun_Ofun__upd(w,x,v,y,z),u,x1),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),x1))*.
% 299.97/300.62 110094[0:SpR:79862.1,1411.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(c_in(hAPP(c_fequal(v),w),hAPP(c_Set_Oimage(c_Set_Oinsert(w,v),u,x),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),x))*.
% 299.97/300.62 110093[0:SpR:79862.1,1392.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),u,x),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),x))*.
% 299.97/300.62 110051[0:SpR:79862.1,13346.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)))* equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v).
% 299.97/300.62 110354[0:Res:110057.1,106.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) c_Finite__Set_Ofinite(hAPP(v,w),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),v,u,tc_fun(x,tc_bool)),x)*.
% 299.97/300.62 110925[0:SpL:42995.0,86811.0] || hBOOL(c_COMBK(c_False,tc_bool,u)) hBOOL(hAPP(c_Set_Oinsert(v,u),w))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_HOL_Ominus__class_Ominus(hAPP(c_fequal(u),v),tc_fun(u,tc_bool))))*.
% 299.97/300.62 111413[0:Res:87803.2,755.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),c_Orderings_Obot__class_Obot(u),v),c_COMBK(c_False,tc_bool,v))** -> .
% 299.97/300.62 111641[0:Res:87806.2,755.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),c_Orderings_Otop__class_Otop(u),v),c_COMBK(c_False,tc_bool,v))** -> .
% 299.97/300.62 111875[0:Res:87817.2,755.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v),w,v),c_COMBK(c_False,tc_bool,v))** -> .
% 299.97/300.62 112129[0:Res:87818.2,755.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v),w,v),c_COMBK(c_False,tc_bool,v))** -> .
% 299.97/300.62 112304[0:SpR:106169.0,938.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_fun(v,tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_fun(v,tc_bool)),u,x,y),c_HOL_Ominus__class_Ominus(u,tc_fun(tc_fun(v,tc_bool),tc_bool)))**.
% 299.97/300.62 112303[0:SpR:106423.0,938.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_fun(v,tc_bool),tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(v,tc_bool)),u,x,y),c_HOL_Ominus__class_Ominus(u,tc_fun(tc_fun(v,tc_bool),tc_bool)))**.
% 299.97/300.62 112328[0:SpR:106169.0,941.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_fun(v,tc_bool),tc_bool)),u,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_fun(v,tc_bool)),x,y),c_HOL_Ominus__class_Ominus(u,tc_fun(tc_fun(v,tc_bool),tc_bool)))**.
% 299.97/300.62 112327[0:SpR:106423.0,941.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_fun(v,tc_bool),tc_bool)),u,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(v,tc_bool)),x,y),c_HOL_Ominus__class_Ominus(u,tc_fun(tc_fun(v,tc_bool),tc_bool)))**.
% 299.97/300.62 112465[0:SpL:1091.0,99791.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_COMBK(c_False,tc_bool,u))) -> .
% 299.97/300.62 112457[0:SpL:279.0,99791.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))) -> .
% 299.97/300.62 112456[0:SpL:167.1,99791.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),t_a)) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),v)))* -> .
% 299.97/300.62 112455[0:SpL:168.1,99791.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),t_a)) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v_x),v)))* -> .
% 299.97/300.62 112453[0:SpL:1597.1,99791.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_fequal(u),v),t_a)) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u),v)))* -> .
% 299.97/300.62 112451[0:SpL:342.1,99791.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),t_a)) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),v)))* -> .
% 299.97/300.62 112450[0:SpL:343.1,99791.1] class_Lattices_Olattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),t_a)) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v_x),v)))* -> .
% 299.97/300.62 112441[0:SpL:5674.2,99791.1] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_Orderings_Obot__class_Obot(u))) -> .
% 299.97/300.62 112440[0:SpL:5789.2,99791.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_Orderings_Obot__class_Obot(u))) -> .
% 299.97/300.62 112434[0:SpL:5276.1,99791.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.62 112433[0:SpL:5145.1,99791.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.62 112426[0:SpL:5441.2,99791.1] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_Orderings_Otop__class_Otop(u))) -> .
% 299.97/300.62 112425[0:SpL:5861.2,99791.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_Orderings_Otop__class_Otop(u))) -> .
% 299.97/300.62 112511[0:Rew:2578.1,112407.2] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,v_x,u),v)))* -> .
% 299.97/300.62 112402[0:SpL:2578.1,99791.1] class_Orderings_Oorder(u) || hBOOL(c_in(v_x,hAPP(c_fequal(u),v),t_a)) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),v_x)))* -> .
% 299.97/300.62 113039[0:SpR:5393.2,35.0] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v,x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))**.
% 299.97/300.62 113535[0:SpL:8806.0,99791.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))) -> .
% 299.97/300.62 113534[0:SpL:8806.0,73923.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),c_False)) -> .
% 299.97/300.62 113422[0:SpR:8806.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)))).
% 299.97/300.62 113405[0:SpR:8806.0,22324.0] || -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.62 113737[0:SpR:5396.2,35.0] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),v,x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))**.
% 299.97/300.62 114208[0:SpR:5562.2,35.0] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),v,x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))**.
% 299.97/300.62 114669[0:SpR:5564.2,35.0] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),v,x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))**.
% 299.97/300.62 115310[0:SpR:8807.0,22324.0] || -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),v),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),w),y)),x))*.
% 299.97/300.62 115678[0:SpL:8979.0,99791.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))) -> .
% 299.97/300.62 115677[0:SpL:8979.0,73923.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),c_False)) -> .
% 299.97/300.62 115557[0:SpR:8979.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)))).
% 299.97/300.62 115540[0:SpR:8979.0,22324.0] || -> hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v,w),hAPP(c_Set_Oinsert(x,v),y)),w))*.
% 299.97/300.62 115768[0:SpR:8980.0,22324.0] || -> hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),v),w,x),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),w),y)),x))*.
% 299.97/300.62 851[0:Res:599.2,778.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,v_Q,t_a)),t_a)* c_Hoare__Mirabelle_Ohoare__derivs(v_G,u,t_a) -> .
% 299.97/300.62 2477[0:Res:533.1,610.0] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),w),c_False)) -> hBOOL(hAPP(w,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_Set_Oinsert(u,v),w))))* equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_Set_Oinsert(u,v),w)),u).
% 299.97/300.62 4014[0:Res:618.1,1141.0] || hBOOL(hAPP(u,c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(v,w),hAPP(c_Set_Oinsert(x,y),u)))))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Set_Oinsert(x,y),u)),c_False)).
% 299.97/300.62 4056[0:Res:1486.0,767.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(u)),hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(u)),y))),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(u)),x),u)*.
% 299.97/300.62 4055[0:Res:3270.0,767.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(v)),y))),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),x),v)*.
% 299.97/300.62 4373[0:SpR:1010.2,361.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,x))* -> hBOOL(c_in(v,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),x,y),w),y))*.
% 299.97/300.62 4372[0:SpR:1009.2,361.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,x))* -> hBOOL(c_in(v,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),x,y),w),y))*.
% 299.97/300.62 4371[0:SpR:251.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(hAPP(hAPP(x,u),y),hAPP(c_Set_Oimage(hAPP(c_COMBC(x,z,x1,x2),y),w,x3),v),x3))*.
% 299.97/300.62 4362[0:SpR:611.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y)) -> hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),y,z),x),z))*.
% 299.97/300.62 4315[0:SpR:707.0,361.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(c_in(c_COMBK(c_False,tc_bool,u),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_fun(u,tc_bool)),w,y),v),y))*.
% 299.97/300.62 4310[0:SpR:65.1,361.1] || hBOOL(c_in(u,v,w)) -> equal(u,x) hBOOL(c_in(hAPP(y,u),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(y,x,z,x1,x2),w,x3),v),x3))*.
% 299.97/300.62 4301[0:SpR:708.0,361.1] || hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_COMBK(c_False,tc_bool,x),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,x),tc_fun(x,tc_bool)),w,y),v),y))*.
% 299.97/300.62 4560[0:SpR:1523.1,4377.1] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(v,u),x,y),w),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)))*.
% 299.97/300.62 4553[0:SpR:11.1,4377.1] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x,y))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y,z),x),v))*.
% 299.97/300.62 4552[0:SpR:3.1,4377.1] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),x,y))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y,z),x),v))*.
% 299.97/300.62 4546[0:SpR:2367.1,4377.1] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x,y))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y,z),x),w))*.
% 299.97/300.62 4545[0:SpR:2281.1,4377.1] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),x,y))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),y,z),x),w))*.
% 299.97/300.62 4541[0:SpR:1091.0,4377.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,x)),w,y),v),c_COMBK(c_False,tc_bool,x)))*.
% 299.97/300.62 4540[0:SpR:279.0,4377.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),w,y),v),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))))*.
% 299.97/300.62 4539[0:SpR:167.1,4377.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),x,z),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y)))*.
% 299.97/300.62 4538[0:SpR:168.1,4377.1] class_Lattices_Olattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),x,z),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y)))*.
% 299.97/300.62 4536[0:SpR:1597.1,4377.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_fequal(u),y),x,z),w),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),y)))*.
% 299.97/300.62 4534[0:SpR:342.1,4377.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),x,z),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y)))*.
% 299.97/300.62 4533[0:SpR:343.1,4377.1] class_Lattices_Olattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),x,z),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y)))*.
% 299.97/300.62 4530[0:SpR:1119.0,4377.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x),w,y),v),c_COMBK(c_False,tc_bool,u)))*.
% 299.97/300.62 4522[0:SpR:280.0,4377.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),w,y),v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))*.
% 299.97/300.62 4492[0:SpR:1597.1,4377.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(y,y,u),x,z),w),hAPP(hAPP(c_fequal(u),v),y)))*.
% 299.97/300.62 4491[0:SpR:2578.1,4377.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(y,y,u),x,z),w),hAPP(hAPP(c_fequal(u),y),v)))*.
% 299.97/300.62 4490[0:SpR:2594.1,4377.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(y,y,u),x,z),w),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),y)))*.
% 299.97/300.62 4488[0:SpR:2578.1,4377.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_fequal(u),y),x,z),w),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(y,y,u),v)))*.
% 299.97/300.62 4795[0:SpL:167.1,4686.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w)),c_False))*.
% 299.97/300.62 4794[0:SpL:168.1,4686.0] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w)),c_False))*.
% 299.97/300.62 4790[0:SpL:342.1,4686.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w)),c_False))*.
% 299.97/300.62 4789[0:SpL:343.1,4686.0] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w)),c_False))*.
% 299.97/300.62 5050[0:Res:4785.1,4686.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u))),c_False))*.
% 299.97/300.62 5052[0:Res:4820.1,4686.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_lessequals(u),z))),c_False))*.
% 299.97/300.62 5056[0:Res:4821.1,4686.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_lessequals(u),z))),c_False))*.
% 299.97/300.62 5058[0:Res:4822.1,4686.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_lessequals(u),z))),c_False))*.
% 299.97/300.62 5060[0:Res:4823.1,4686.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_lessequals(u),z))),c_False))*.
% 299.97/300.62 5062[0:Res:4824.1,4686.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_lessequals(u),z))),c_False))*.
% 299.97/300.62 5113[0:Res:4825.1,4686.0] class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_lessequals(u),z))),c_False))*.
% 299.97/300.62 5115[0:Res:4845.1,4686.0] class_Orderings_Otop(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_lessequals(u),z))),c_False))*.
% 299.97/300.62 5757[0:Res:457.2,531.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),v))),v,u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),v)),c_False)).
% 299.97/300.62 6204[0:SpL:613.0,408.0] || hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),hAPP(c_Set_Oinsert(x,w),y)),w))* -> hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),y),w)) equal(u,x).
% 299.97/300.62 6275[0:SpR:5360.2,361.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),x,y),w),y))*.
% 299.97/300.62 6355[0:SpR:5430.2,361.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(c_in(x,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w,y),v),y))*.
% 299.97/300.62 6420[0:SpR:5538.2,361.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),x,y),w),y))*.
% 299.97/300.62 6488[0:SpR:5685.2,361.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(c_in(x,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w,y),v),y))*.
% 299.97/300.62 6610[0:SpR:5792.2,361.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),x,y),w),y))*.
% 299.97/300.62 6742[0:SpR:5860.2,361.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),x,y),w),y))*.
% 299.97/300.62 6805[0:SpR:5160.1,361.1] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,x))* -> hBOOL(c_in(y,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(y,tc_fun(u,tc_bool)),x,z),w),z))*.
% 299.97/300.62 6847[0:SpR:5292.1,361.1] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,x))* -> hBOOL(c_in(y,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(y,tc_fun(u,tc_bool)),x,z),w),z))*.
% 299.97/300.62 7033[0:SpR:5371.2,4377.1] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w,y),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.62 7089[0:SpR:5398.0,4377.1] || hBOOL(c_in(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),x,y))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),y,z),x),u))*.
% 299.97/300.62 7143[0:SpR:5441.2,4377.1] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),x,y),w),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.62 7215[0:SpR:5527.2,4377.1] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w,y),v),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.62 7308[0:SpR:5674.2,4377.1] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),x,y),w),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.62 7377[0:SpR:5789.2,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),x,y),w),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.62 7549[0:SpR:5861.2,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),x,y),w),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.62 7742[0:SpL:5145.1,4686.0] class_Orderings_Oorder(u) || hBOOL(v)* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,y,u))),c_False))*.
% 299.97/300.62 7691[0:SpR:5145.1,4377.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,y,u)),x,z),w),v))*.
% 299.97/300.62 7769[0:SpR:5146.2,4377.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),x,y),w),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.62 7794[0:SpR:5147.2,4377.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),x,y),w),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.62 7818[0:SpR:5148.1,4377.1] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),x,z),w),y))*.
% 299.97/300.62 7940[0:SpL:5276.1,4686.0] class_Orderings_Oorder(u) || hBOOL(v)* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u))),c_False))*.
% 299.97/300.62 7888[0:SpR:5276.1,4377.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u)),x,z),w),v))*.
% 299.97/300.62 7968[0:SpR:5277.2,4377.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),x,y),w),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.62 8051[0:SpR:5278.2,4377.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),x,y),w),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.62 8075[0:SpR:5279.1,4377.1] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),x,z),w),y))*.
% 299.97/300.62 8475[0:SpR:613.0,7115.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(v)),x)),hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),x),tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),y),v)*.
% 299.97/300.62 8604[0:SpR:5161.1,4377.1] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(y,u),x,z),w),hAPP(c_fequal(u),y)))*.
% 299.97/300.62 8678[0:SpR:5293.1,4377.1] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(y,u),x,z),w),hAPP(c_fequal(u),y)))*.
% 299.97/300.62 9568[0:SpL:770.0,4131.0] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),w),x)) -> hBOOL(c_in(x,hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),hAPP(c_fequal(v),u)),v))* equal(x,u).
% 299.97/300.62 9545[0:SpR:770.0,3059.1] || equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_fequal(v),w)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))** -> equal(hAPP(c_Set_Oinsert(w,v),u),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))).
% 299.97/300.62 11280[0:Res:8.1,752.1] class_Ring__and__Field_Oordered__idom(u) class_Orderings_Oorder(u) || equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v))* equal(v,w).
% 299.97/300.62 11279[0:Res:4.1,752.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v))* equal(w,v).
% 299.97/300.62 11341[0:Res:8.1,751.1] class_Ring__and__Field_Oordered__idom(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),c_COMBK(c_False,tc_bool,u)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v))* equal(v,w).
% 299.97/300.62 11340[0:Res:4.1,751.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),c_COMBK(c_False,tc_bool,u)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v))* equal(w,v).
% 299.97/300.62 12199[0:SpR:276.1,248.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),w)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.62 12308[0:SSi:12232.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(v,tc_bool)),w),v)) -> hBOOL(hAPP(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(x,tc_fun(v,tc_bool)),w)),u))*.
% 299.97/300.62 12309[0:SSi:12230.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),v)),w),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(w,tc_fun(u,tc_bool)),v)))**.
% 299.97/300.62 12312[0:SSi:12205.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(hAPP(c_fequal(u),v),tc_fun(u,tc_bool)),w)),hAPP(c_Set_Oinsert(v,u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),w)))**.
% 299.97/300.62 12489[0:SpR:125.1,248.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),w)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.62 12582[0:SSi:12542.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,tc_fun(v,tc_bool)),x)),v))* -> hBOOL(hAPP(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(v,tc_bool)),x),u)).
% 299.97/300.62 13078[0:Res:41.1,77.1] class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),w))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),w).
% 299.97/300.62 13077[0:Res:37.1,77.1] class_Lattices_Olattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),w))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),w).
% 299.97/300.62 13065[0:Res:232.1,77.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),v).
% 299.97/300.62 13064[0:Res:229.1,77.1] class_Lattices_Olattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),v).
% 299.97/300.62 13063[0:Res:233.1,77.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),v).
% 299.97/300.62 13062[0:Res:228.1,77.1] class_Lattices_Olattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),v).
% 299.97/300.62 13049[0:Res:42.1,77.1] class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),v))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v).
% 299.97/300.62 13048[0:Res:36.1,77.1] class_Lattices_Olattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),v))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v).
% 299.97/300.62 13328[0:Res:41.1,69.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),w))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),w).
% 299.97/300.62 13327[0:Res:37.1,69.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),w))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),w).
% 299.97/300.62 13315[0:Res:232.1,69.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),v).
% 299.97/300.62 13314[0:Res:229.1,69.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),v).
% 299.97/300.62 13313[0:Res:233.1,69.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),v).
% 299.97/300.62 13312[0:Res:228.1,69.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),v).
% 299.97/300.62 13299[0:Res:42.1,69.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),v))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v).
% 299.97/300.62 13298[0:Res:36.1,69.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),v))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v).
% 299.97/300.62 13354[0:SSi:13325.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),hAPP(c_Set_Oinsert(v,u),w)))* equal(hAPP(c_Set_Oinsert(v,u),w),hAPP(c_fequal(u),v)).
% 299.97/300.62 13355[0:SSi:13317.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),v).
% 299.97/300.62 13356[0:SSi:13316.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v),v).
% 299.97/300.62 13644[0:SpR:774.1,248.0] || -> hBOOL(c_in(u,v,w)) hBOOL(c_in(v,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(u,w),v),tc_fun(w,tc_bool)),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 299.97/300.62 13922[0:Res:6015.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,v),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),hAPP(c_Set_Oinsert(v,x),z)),u,x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.62 13912[0:Res:5275.1,106.0] class_Orderings_Oorder(u) || c_Finite__Set_Ofinite(hAPP(v,c_False),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u)),v,y,tc_fun(w,tc_bool)),w)*.
% 299.97/300.62 13911[0:Res:5144.1,106.0] class_Orderings_Oorder(u) || c_Finite__Set_Ofinite(hAPP(v,c_False),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,u)),v,y,tc_fun(w,tc_bool)),w)*.
% 299.97/300.62 13901[0:Res:1403.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,v),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(c_COMBK(v,x,y),z,x1),c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool))),u,x1,tc_fun(w,tc_bool)),w)*.
% 299.97/300.62 13894[0:Res:1424.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,c_False),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),u,y,tc_fun(v,tc_bool)),v)*.
% 299.97/300.62 13893[0:Res:1927.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,v),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),u,y,tc_fun(w,tc_bool)),w)*.
% 299.97/300.62 13892[0:Res:1418.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,v),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),u,y,tc_fun(w,tc_bool)),w)*.
% 299.97/300.62 13891[0:Res:1401.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,v),w)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),u,y,tc_fun(w,tc_bool)),w)*.
% 299.97/300.62 14837[0:SSi:14819.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w)),w))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),w).
% 299.97/300.62 14838[0:SSi:14793.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w)),v))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),v).
% 299.97/300.62 15149[0:Res:724.1,503.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(v,w),w,u),c_COMBK(c_False,tc_bool,u))** hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(v,u)),w))*.
% 299.97/300.62 15157[0:Rew:342.1,15148.2] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(w,v)),v)** -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(w,u)),v))*.
% 299.97/300.62 15125[0:SpL:13495.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(v,c_False)) hBOOL(hAPP(hAPP(c_lessequals(u),c_False),v)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),v))*.
% 299.97/300.62 14992[0:SpL:5302.1,503.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),c_False),w)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u),v)),w))*.
% 299.97/300.62 14991[0:SpL:5169.1,503.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),c_False),w)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastLessThan(x,x,u),v)),w))*.
% 299.97/300.62 14977[0:SpL:13738.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),v)) -> equal(w,c_False) hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastAtMost(w,c_False,tc_bool),u)),v))*.
% 299.97/300.62 15159[0:Obv:15139.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(v,hAPP(c_Complete__Lattice_OSup__class_OSup(u),w)),w,u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(v,u)),hAPP(c_Complete__Lattice_OSup__class_OSup(u),w)))*.
% 299.97/300.62 15162[0:SSi:15161.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(w,v)),v)** -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(w,tc_fun(u,tc_bool))),v))*.
% 299.97/300.62 15529[0:Res:222.3,451.1] class_Orderings_Olinorder(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Finite__Set_Olinorder__class_OMin(w,u)),v),v)**.
% 299.97/300.62 15528[0:Res:222.3,449.1] class_Orderings_Olinorder(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Finite__Set_Olinorder__class_OMin(w,u)),v)**.
% 299.97/300.62 15593[0:Res:221.3,166.1] class_Orderings_Olinorder(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Finite__Set_Olinorder__class_OMax(w,u)),v),v)**.
% 299.97/300.62 15592[0:Res:221.3,164.1] class_Orderings_Olinorder(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Finite__Set_Olinorder__class_OMax(w,u)),v)**.
% 299.97/300.62 15699[0:Res:156.1,107.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || c_Finite__Set_Ofinite(v,w) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(x,w,u),v)),y))* c_Finite__Set_Ofinite(y,u).
% 299.97/300.62 15698[0:Res:518.1,107.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || c_Finite__Set_Ofinite(v,w) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(x,w,u),v)),y))* c_Finite__Set_Ofinite(y,u).
% 299.97/300.62 15664[0:SpL:771.1,107.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_fequal(u),w)))* c_Finite__Set_Ofinite(x,y)* -> equal(x,c_COMBK(c_False,tc_bool,y))* c_Finite__Set_Ofinite(v,u).
% 299.97/300.62 16050[0:SpR:13495.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(v,c_False)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_False))*.
% 299.97/300.62 15907[0:SpR:5302.1,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_SetInterval_Oord__class_OgreaterThanAtMost(z,z,u),y,v)),c_False))*.
% 299.97/300.62 15906[0:SpR:5169.1,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_SetInterval_Oord__class_OatLeastLessThan(z,z,u),y,v)),c_False))*.
% 299.97/300.62 15892[0:SpR:13738.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> equal(y,c_False) hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_SetInterval_Oord__class_OatLeastAtMost(y,c_False,tc_bool),x,u)),c_False))*.
% 299.97/300.62 15883[0:SpR:50.1,434.2] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),y,v)),w))*.
% 299.97/300.62 15882[0:SpR:1919.1,434.2] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),y,v)),w))*.
% 299.97/300.62 15881[0:SpR:12821.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),y,v)),w))*.
% 299.97/300.62 15880[0:SpR:255.1,434.2] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y,v)),w))*.
% 299.97/300.62 15879[0:SpR:1918.1,434.2] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y,v)),w))*.
% 299.97/300.62 15878[0:SpR:12701.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y,v)),w))*.
% 299.97/300.62 16090[0:SSi:16068.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),hAPP(y,u)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,y,w,tc_fun(x,tc_bool))),hAPP(y,u))**.
% 299.97/300.62 16091[0:SSi:16067.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,y,w,tc_fun(x,tc_bool))),hAPP(y,u)),hAPP(y,u))**.
% 299.97/300.62 16314[0:SpR:13495.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(v,c_False)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 299.97/300.62 16170[0:SpR:5302.1,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_SetInterval_Oord__class_OgreaterThanAtMost(z,z,u),y,v)))*.
% 299.97/300.62 16169[0:SpR:5169.1,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_SetInterval_Oord__class_OatLeastLessThan(z,z,u),y,v)))*.
% 299.97/300.62 16155[0:SpR:13738.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> equal(y,c_False) hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OatLeastAtMost(y,c_False,tc_bool),x,u)))*.
% 299.97/300.62 16146[0:SpR:50.1,264.2] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),y,v)))*.
% 299.97/300.62 16145[0:SpR:1919.1,264.2] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),y,v)))*.
% 299.97/300.62 16144[0:SpR:12821.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),y,v)))*.
% 299.97/300.62 16143[0:SpR:255.1,264.2] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y,v)))*.
% 299.97/300.62 16142[0:SpR:1918.1,264.2] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y,v)))*.
% 299.97/300.62 16141[0:SpR:12701.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y,v)))*.
% 299.97/300.62 16346[0:Obv:16321.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,w,x,u),v,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(w,u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,w,x,u)))*.
% 299.97/300.62 16522[0:SpL:759.0,427.0] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x))* -> hBOOL(hAPP(w,x)) hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w),x)).
% 299.97/300.62 16520[0:SpL:759.0,742.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),c_COMBK(c_False,tc_bool,u))** -> equal(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w),c_COMBK(c_False,tc_bool,u)).
% 299.97/300.62 17276[0:SSi:17264.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_Set_Oinsert(u,v),w),x,tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))** hBOOL(hAPP(hAPP(c_lessequals(tc_fun(v,tc_bool)),w),x)).
% 299.97/300.62 17277[0:SSi:17255.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,tc_fun(v,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(v,tc_bool)),w),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(v,tc_bool)),x)))*.
% 299.97/300.62 17385[0:SpR:3.1,172.2] class_Lattices_Olattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x)).
% 299.97/300.62 17383[0:SpR:2281.1,172.2] class_Lattices_Olattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),x)).
% 299.97/300.62 17428[0:SSi:17417.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x),v),y))* -> hBOOL(hAPP(w,y))*.
% 299.97/300.62 17429[0:SSi:17393.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_COMBK(c_False,tc_bool,u)))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),v),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.62 17581[0:SSi:17571.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),x),y))* -> hBOOL(hAPP(w,y))*.
% 299.97/300.62 17582[0:SSi:17547.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_COMBK(c_False,tc_bool,u)))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.62 17807[0:SpR:3.1,2.2] class_Lattices_Olattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x)).
% 299.97/300.62 17805[0:SpR:2281.1,2.2] class_Lattices_Olattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),x)).
% 299.97/300.62 18495[0:SSi:18477.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),x))* -> hBOOL(c_in(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),y),u))*.
% 299.97/300.62 18496[0:SSi:18475.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* hBOOL(hAPP(v,x))* -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),y),x))*.
% 299.97/300.62 18497[0:SSi:18422.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_fequal(u),w))) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)))*.
% 299.97/300.62 18660[0:SpR:11.1,478.2] class_Lattices_Olattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)).
% 299.97/300.62 18657[0:SpR:2367.1,478.2] class_Lattices_Olattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x)).
% 299.97/300.62 18701[0:SSi:18691.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),x))* -> hBOOL(c_in(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),x),u))*.
% 299.97/300.62 18702[0:SSi:18689.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* hBOOL(hAPP(v,x))* -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),w),x))*.
% 299.97/300.62 18879[0:SpR:11.1,185.2] class_Lattices_Olattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)).
% 299.97/300.62 18876[0:SpR:2367.1,185.2] class_Lattices_Olattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x)).
% 299.97/300.62 18916[0:SSi:18880.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_fequal(u),w))) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)))*.
% 299.97/300.62 19262[0:Res:29.2,477.1] class_Orderings_Opreorder(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x)).
% 299.97/300.62 19261[0:Res:28.2,477.1] class_Orderings_Oorder(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x)).
% 299.97/300.62 19255[0:Res:264.2,477.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),x,u)))*.
% 299.97/300.62 19281[0:SSi:19257.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),x)).
% 299.97/300.62 19284[0:SSi:19197.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),x)).
% 299.97/300.62 19621[0:Res:29.2,476.1] class_Orderings_Opreorder(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),x)).
% 299.97/300.62 19620[0:Res:28.2,476.1] class_Orderings_Oorder(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),x)).
% 299.97/300.62 19614[0:Res:264.2,476.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),x,u)))*.
% 299.97/300.62 19580[0:SpL:11.1,476.1] class_Lattices_Olattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)),w))*.
% 299.97/300.62 19577[0:SpL:2367.1,476.1] class_Lattices_Olattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)),w))*.
% 299.97/300.62 19641[0:SSi:19616.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),x)).
% 299.97/300.62 19798[0:Res:29.2,170.1] class_Orderings_Opreorder(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x)).
% 299.97/300.62 19797[0:Res:28.2,170.1] class_Orderings_Oorder(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x)).
% 299.97/300.62 19787[0:Res:434.2,170.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),x,u)),v))*.
% 299.97/300.62 19758[0:SpL:3.1,170.1] class_Lattices_Olattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)))*.
% 299.97/300.62 19756[0:SpL:2281.1,170.1] class_Lattices_Olattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w)))*.
% 299.97/300.62 19817[0:SSi:19793.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),x)).
% 299.97/300.62 19890[0:SpR:19877.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,u)))*.
% 299.97/300.62 19889[0:SpR:19877.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 20020[0:Res:29.2,169.1] class_Orderings_Opreorder(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)).
% 299.97/300.62 20019[0:Res:28.2,169.1] class_Orderings_Oorder(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)).
% 299.97/300.62 20009[0:Res:434.2,169.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),x,u)),y))*.
% 299.97/300.62 20040[0:SSi:20015.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)).
% 299.97/300.62 20239[0:Res:27.2,20047.0] class_HOL_Oord(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,u)),w),c_Orderings_Otop__class_Otop(tc_bool)))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(v,u)),w)),c_Orderings_Otop__class_Otop(tc_bool)).
% 299.97/300.62 20207[0:Res:222.3,20047.0] class_Orderings_Olinorder(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),v,u)) c_Finite__Set_Ofinite(v,u) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Finite__Set_Olinorder__class_OMin(v,u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.62 20104[0:SpL:771.1,20047.0] || hBOOL(hAPP(c_fequal(u),v)) -> equal(c_COMBK(c_False,tc_bool,w),c_Orderings_Otop__class_Otop(tc_bool)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oimage(c_COMBK(v,u,w),w,u)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.62 20347[0:SpR:20155.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 299.97/300.62 20346[0:SpR:20155.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 20831[0:SpR:13619.0,435.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(w,tc_bool))),c_False))*.
% 299.97/300.62 20821[0:SpR:12544.0,435.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(c_False,tc_bool),u),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 299.97/300.62 20820[0:SpR:9924.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 20819[0:SpR:9032.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 20816[0:SpR:9690.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 20815[0:SpR:8858.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 20800[0:SpR:20154.0,435.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 20793[0:SpR:20242.0,435.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 20792[0:SpR:20206.0,435.1] || hBOOL(c_in(hAPP(c_lessequals(tc_bool),u),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 20791[0:SpR:20243.0,435.1] || hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,tc_fun(w,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 20703[0:SpR:12625.0,435.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 20702[0:SpR:12637.0,435.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),v,tc_fun(w,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 20650[0:SpR:34.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Fun_Ofun__upd(y,u,z,x1,x2),w,tc_fun(x,tc_bool))),z))*.
% 299.97/300.62 20637[0:SpR:256.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),u),w,tc_fun(x,tc_bool))),u))*.
% 299.97/300.62 20880[0:SSi:20857.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),y),w,tc_fun(x,tc_bool))),u))*.
% 299.97/300.62 20881[0:SSi:20856.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),y),w,tc_fun(x,tc_bool))),y))*.
% 299.97/300.62 21242[0:SpR:13619.0,265.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(w,tc_bool))))*.
% 299.97/300.62 21232[0:SpR:12544.0,265.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(c_False,tc_bool),u),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 299.97/300.62 21231[0:SpR:9924.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 299.97/300.62 21230[0:SpR:9032.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 299.97/300.62 21227[0:SpR:9690.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 299.97/300.62 21226[0:SpR:8858.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 299.97/300.62 21211[0:SpR:20154.0,265.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 299.97/300.62 21203[0:SpR:20242.0,265.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 299.97/300.62 21202[0:SpR:20206.0,265.1] || hBOOL(c_in(hAPP(c_lessequals(tc_bool),u),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 299.97/300.62 21201[0:SpR:20243.0,265.1] || hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,tc_fun(w,tc_bool))))*.
% 299.97/300.62 21113[0:SpR:12625.0,265.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),w,tc_fun(x,tc_bool))))*.
% 299.97/300.62 21112[0:SpR:12637.0,265.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),v,tc_fun(w,tc_bool))))*.
% 299.97/300.62 21060[0:SpR:34.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Fun_Ofun__upd(z,u,y,x1,x2),w,tc_fun(x,tc_bool))))*.
% 299.97/300.62 21047[0:SpR:256.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),u),w,tc_fun(x,tc_bool))))*.
% 299.97/300.62 21291[0:SSi:21288.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),w,tc_fun(x,tc_bool))))*.
% 299.97/300.62 21292[0:SSi:21287.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),w,tc_fun(x,tc_bool))))*.
% 299.97/300.62 21293[0:SSi:21281.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,y,w,tc_fun(x,tc_bool))),hAPP(y,u)),hAPP(y,u))**.
% 299.97/300.62 21294[0:SSi:21280.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),hAPP(y,u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,y,w,tc_fun(x,tc_bool))),hAPP(y,u))**.
% 299.97/300.62 22002[0:Res:2648.1,352.0] || hBOOL(hAPP(hAPP(c_fequal(u),v),w)) hBOOL(c_in(x,y,z))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,c_Set_Oinsert(v,u),z,tc_fun(x1,tc_bool)),w))*.
% 299.97/300.62 21977[0:Res:4013.0,352.0] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(x,y),w,tc_fun(z,tc_bool)),c_False))*.
% 299.97/300.62 21959[0:Res:2650.0,352.0] || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(tc_fun(u,tc_bool)),x,tc_fun(y,tc_bool)),hAPP(c_Set_Oinsert(v,u),z)))*.
% 299.97/300.62 21946[0:Res:428.1,352.0] || hBOOL(hAPP(u,v))* hBOOL(c_in(u,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),z),x,tc_fun(x1,tc_bool)),v))*.
% 299.97/300.62 21945[0:Res:429.1,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(z,tc_bool)),u),y,tc_fun(x1,tc_bool)),v))*.
% 299.97/300.62 21935[0:Res:4836.0,352.0] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),z,x1),y,tc_fun(x2,tc_bool)),c_False))*.
% 299.97/300.62 21926[0:Res:1546.0,352.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_fun(y,tc_bool)),u,z),w,tc_fun(x1,tc_bool)),x))*.
% 299.97/300.62 21924[0:Res:1562.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,y),x,tc_fun(z,tc_bool)),x1))*.
% 299.97/300.62 21923[0:Res:1561.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,y),x,tc_fun(z,tc_bool)),x1))*.
% 299.97/300.62 21915[0:Res:236.0,352.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_fun(x,tc_bool)),w,tc_fun(y,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u),z)))*.
% 299.97/300.62 21914[0:Res:237.0,352.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_fun(x,tc_bool)),w,tc_fun(y,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),z),u)))*.
% 299.97/300.62 21902[0:Res:533.1,352.0] || hBOOL(hAPP(hAPP(u,v),c_False)) hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,u,x,tc_fun(y,tc_bool)),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(u,v))))*.
% 299.97/300.62 21868[0:SpL:2678.0,352.0] || hBOOL(u) hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),w,tc_fun(y,tc_bool)),hAPP(c_Set_Oinsert(z,x),u)))*.
% 299.97/300.62 21766[0:SpL:13619.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool)),u))*.
% 299.97/300.62 21756[0:SpL:12544.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(hAPP(c_Set_Oinsert(c_False,tc_bool),v),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.62 21755[0:SpL:9924.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.62 21754[0:SpL:9032.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.62 21751[0:SpL:9690.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.62 21750[0:SpL:8858.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.62 21735[0:SpL:20154.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.62 21721[0:SpL:20242.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.62 21720[0:SpL:20206.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_lessequals(tc_bool),v),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.62 21719[0:SpL:20243.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool)),u))*.
% 299.97/300.62 21631[0:SpL:12625.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.62 21630[0:SpL:12637.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),w,tc_fun(y,tc_bool)),u))*.
% 299.97/300.62 21578[0:SpL:34.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Fun_Ofun__upd(z,w,u,x1,x2),y,tc_fun(x3,tc_bool)),v))*.
% 299.97/300.62 22620[0:SpL:405.0,325.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(v,w,u),hAPP(c_Set_Oinsert(x,w),y))),z))* -> hBOOL(c_in(hAPP(v,x),z,u)).
% 299.97/300.62 22600[0:SpR:13517.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),u),x)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),x)))*.
% 299.97/300.62 22596[0:SpR:12731.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u),w)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),w)))*.
% 299.97/300.62 22586[0:SpR:13510.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_bool),c_False),u),w)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),w)))*.
% 299.97/300.62 22585[0:SpR:12718.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_fequal(tc_bool),c_False),u),w)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),w)))*.
% 299.97/300.62 22554[0:SpR:15484.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u),w)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),w)))*.
% 299.97/300.62 22532[0:SpR:15481.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_fequal(tc_bool),c_False),u),w)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),w)))*.
% 299.97/300.62 22524[0:SpR:8998.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool),u),x)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),x)))*.
% 299.97/300.62 22523[0:SpR:5331.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool),u),x)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),x)))*.
% 299.97/300.62 22522[0:SpR:8825.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool),u),x)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),x)))*.
% 299.97/300.62 22521[0:SpR:5198.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool),u),x)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),x)))*.
% 299.97/300.62 22422[0:SpR:19460.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),x)),hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),x)))*.
% 299.97/300.62 22350[0:SpR:405.0,248.0] || -> hBOOL(c_in(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),y)),hAPP(c_Set_Oimage(c_Set_Oinsert(hAPP(u,x),w),z,x1),c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool))),x1))*.
% 299.97/300.62 22310[0:SpR:405.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(u,v,w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),hAPP(c_Set_Oinsert(hAPP(u,z),w),hAPP(c_Set_Oimage(u,v,w),x1))))*.
% 299.97/300.62 22639[0:Rew:22632.0,22367.0] || -> equal(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),hAPP(c_fequal(v),y))),hAPP(c_Set_Oinsert(hAPP(u,y),w),hAPP(c_fequal(w),hAPP(u,x))))*.
% 299.97/300.62 23091[0:SpL:19877.0,461.0] || equal(hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(u,c_fequal(tc_bool),v,w)* -> equal(hAPP(hAPP(u,c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.62 23061[0:SpL:20155.0,461.0] || equal(hAPP(c_fequal(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_fequal(u),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.62 23059[0:SpL:20134.1,461.0] || hBOOL(u) equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),u),u)**.
% 299.97/300.62 22961[0:SpL:34.0,461.0] || equal(u,hAPP(v,w)) c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,c_Fun_Ofun__upd(x1,hAPP(v,w),u,x2,x3)),w),w)**.
% 299.97/300.62 22939[0:SpL:13517.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)))**.
% 299.97/300.62 22935[0:SpL:12731.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.62 22925[0:SpL:13510.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),hAPP(c_lessequals(tc_bool),c_False)),hAPP(c_lessequals(tc_bool),c_False))**.
% 299.97/300.62 22924[0:SpL:12718.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),hAPP(c_fequal(tc_bool),c_False)),hAPP(c_fequal(tc_bool),c_False))**.
% 299.97/300.62 22893[0:SpL:15484.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.62 22871[0:SpL:15481.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),hAPP(c_fequal(tc_bool),c_False)),hAPP(c_fequal(tc_bool),c_False))**.
% 299.97/300.62 22863[0:SpL:8998.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool))**.
% 299.97/300.62 22862[0:SpL:5331.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool))**.
% 299.97/300.62 22861[0:SpL:8825.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool))**.
% 299.97/300.62 22860[0:SpL:5198.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool))**.
% 299.97/300.62 22779[0:SpL:12637.0,461.0] || equal(hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),x,y)* -> equal(hAPP(hAPP(v,u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.62 22726[0:SpL:18.1,461.0] class_Lattices_Obounded__lattice(u) || equal(hAPP(v,w),w) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),y,z)* -> equal(hAPP(hAPP(x,v),w),w)**.
% 299.97/300.62 22723[0:SpL:366.1,461.0] class_Lattices_Obounded__lattice(u) || equal(hAPP(v,w),w) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),y,z)* -> equal(hAPP(hAPP(x,v),w),w)**.
% 299.97/300.62 23392[0:SpR:46.0,248.0] || -> hBOOL(c_in(hAPP(c_Set_Oimage(c_COMBB(u,v,w,x,y),y,x),z),hAPP(c_Set_Oimage(c_Set_Oimage(u,w,x),x1,x2),c_Orderings_Otop__class_Otop(tc_fun(x1,tc_bool))),x2))*.
% 299.97/300.62 23517[0:Res:323.2,20374.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),w,v)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.62 24233[0:Res:41.1,364.1] class_Lattices_Olower__semilattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,v)),w),x),y)),hAPP(x,y)))*.
% 299.97/300.62 24232[0:Res:37.1,364.1] class_Lattices_Olattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,v)),w),x),y)),hAPP(x,y)))*.
% 299.97/300.62 24212[0:Res:232.1,364.1] class_Lattices_Oupper__semilattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(w,x)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,v)),y),w),x)))*.
% 299.97/300.62 24211[0:Res:229.1,364.1] class_Lattices_Olattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(w,x)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,v)),y),w),x)))*.
% 299.97/300.62 24210[0:Res:233.1,364.1] class_Lattices_Oupper__semilattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(w,x)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,v)),w),y),x)))*.
% 299.97/300.62 24209[0:Res:228.1,364.1] class_Lattices_Olattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(w,x)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,v)),w),y),x)))*.
% 299.97/300.62 24198[0:Res:42.1,364.1] class_Lattices_Olower__semilattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,v)),w),x),y)),hAPP(w,y)))*.
% 299.97/300.62 24197[0:Res:36.1,364.1] class_Lattices_Olattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,v)),w),x),y)),hAPP(w,y)))*.
% 299.97/300.62 24860[0:SpR:803.2,4836.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_False))*.
% 299.97/300.62 24855[0:SpR:803.2,6015.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(c_in(w,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),u))*.
% 299.97/300.62 24849[0:SpR:803.2,2648.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(hAPP(hAPP(c_fequal(u),w),x))* -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),x))*.
% 299.97/300.62 24838[0:SpR:803.2,618.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),x))* -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),x)).
% 299.97/300.62 24835[0:SpR:803.2,2650.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),w)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)))*.
% 299.97/300.62 24829[0:SpR:803.2,20526.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u)),u)*.
% 299.97/300.62 24818[0:SpR:803.2,409.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)))*.
% 299.97/300.62 25040[0:SpR:802.2,6015.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(c_in(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),u))*.
% 299.97/300.62 25034[0:SpR:802.2,2648.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(hAPP(hAPP(c_fequal(u),v),x))* -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),x))*.
% 299.97/300.62 25023[0:SpR:802.2,618.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(hAPP(c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),x))* -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),x)).
% 299.97/300.62 25020[0:SpR:802.2,2650.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)))*.
% 299.97/300.62 25014[0:SpR:802.2,20526.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u)),u)*.
% 299.97/300.62 25003[0:SpR:802.2,409.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)))*.
% 299.97/300.62 25270[0:SpR:20201.0,361.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.62 25320[0:SpR:20203.0,361.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.62 25358[0:SpR:20256.0,361.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.62 25393[0:SpR:20258.0,361.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.62 25484[0:SpR:13507.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.62 25507[0:SpR:13508.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.62 25615[0:SpR:20170.0,361.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.62 25643[0:SpR:20202.0,361.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.62 25681[0:SpR:20204.0,361.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.62 25721[0:SpR:20255.0,361.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.62 25789[0:SSi:25778.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(c_fequal(u),w)),v)** -> equal(v,hAPP(c_fequal(u),w)) equal(v,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.62 25802[0:SpR:20257.0,361.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.62 25840[0:SpR:20259.0,361.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.62 25880[0:SpR:20260.0,361.1] || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.62 25902[0:SpR:20361.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool))),w,x))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y),w),y))*.
% 299.97/300.62 26346[0:SpL:411.0,183.0] || c_Fun_Oinj__on(u,hAPP(c_Set_Oinsert(v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),y)),w,z)* -> c_Fun_Oinj__on(u,hAPP(c_Set_Oinsert(v,w),x),w,z).
% 299.97/300.62 26336[0:SpL:411.0,5903.0] || equal(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x)),x)** -> c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),w),v).
% 299.97/300.62 26274[0:SpR:411.0,475.1] || hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),x),w)) -> hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),y)),w))*.
% 299.97/300.62 26254[0:SpR:411.0,133.2] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),w),v) c_Finite__Set_Ofinite(x,v) -> c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x)),v)*.
% 299.97/300.62 26754[0:SpL:410.0,767.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(v)),y)),v)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),x),v).
% 299.97/300.62 26750[0:SpL:410.0,325.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x))),y))* -> hBOOL(c_in(w,y,u)).
% 299.97/300.62 26741[0:SpL:410.0,182.0] || c_Fun_Oinj__on(u,hAPP(c_Set_Oinsert(v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),y)),w,z)* -> c_Fun_Oinj__on(u,hAPP(c_Set_Oinsert(v,w),y),w,z).
% 299.97/300.62 26733[0:SpL:410.0,8163.0] || equal(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x)),w)** -> c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),x),v).
% 299.97/300.62 26638[0:SpR:410.0,248.0] || -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)),hAPP(c_Set_Oimage(c_Set_Oinsert(w,u),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),z))*.
% 299.97/300.62 26587[0:SpR:410.0,474.1] || hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),x),w)) -> hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),y),x)),w))*.
% 299.97/300.62 26562[0:SpR:410.0,133.2] || c_Finite__Set_Ofinite(u,v) c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(w,v),x),v) -> c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(w,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),x)),v)*.
% 299.97/300.62 26991[0:SpL:266.1,7112.0] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,hAPP(c_HOL_Ominus__class_Ominus(y,tc_fun(w,tc_bool)),v),w))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,w),y),x))*.
% 299.97/300.62 26986[0:SpL:266.1,3223.0] || hBOOL(c_in(u,v,w))* hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(w,tc_bool)),v),y))* -> hBOOL(c_in(y,hAPP(c_Set_Oinsert(u,w),x),w))*.
% 299.97/300.62 27032[0:SpR:8803.0,361.1] || hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),w,y),v),y))*.
% 299.97/300.62 27101[0:SpR:8976.0,361.1] || hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),w,y),v),y))*.
% 299.97/300.62 27271[0:SpR:13604.1,361.1] || hBOOL(hAPP(u,c_False)) hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),u),w,x))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),x,y),w),y))*.
% 299.97/300.62 27946[0:Res:6015.0,331.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y))* -> hBOOL(c_in(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),z),y,tc_fun(v,tc_bool)),v))*.
% 299.97/300.62 27938[0:Res:4138.1,331.1] || equal(hAPP(u,v),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))* hBOOL(c_in(v,x,y))* -> hBOOL(c_in(z,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,u,y,tc_fun(w,tc_bool)),w))*.
% 299.97/300.62 27937[0:Res:5275.1,331.1] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,x))* -> hBOOL(c_in(c_False,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(tc_fun(u,tc_bool)),x,tc_fun(y,tc_bool)),y))*.
% 299.97/300.62 27936[0:Res:5144.1,331.1] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,x))* -> hBOOL(c_in(c_False,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(tc_fun(u,tc_bool)),x,tc_fun(y,tc_bool)),y))*.
% 299.97/300.62 27926[0:Res:1403.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_COMBK(x,y,z),u,x1),w,tc_fun(x1,tc_bool)),x1))*.
% 299.97/300.62 27920[0:Res:1424.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(c_in(c_False,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),u,y),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.62 27918[0:Res:1927.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),u,y),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.62 27917[0:Res:1418.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),u,y),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.62 27916[0:Res:1401.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u,y),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.62 27737[0:SpL:1916.0,331.1] || hBOOL(c_in(u,v,w)) hBOOL(c_in(x,u,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.62 27736[0:SpL:1118.0,331.1] || hBOOL(c_in(c_False,u,v)) hBOOL(c_in(w,c_False,x)) -> hBOOL(c_in(w,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),y),v,tc_fun(x,tc_bool)),x))*.
% 299.97/300.62 27734[0:SpL:1088.0,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.62 27707[0:SpL:988.0,331.1] || hBOOL(c_in(c_False,u,v)) hBOOL(c_in(w,x,y)) -> hBOOL(c_in(w,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),v,tc_fun(y,tc_bool)),y))*.
% 299.97/300.62 27689[0:SpL:19460.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) hBOOL(c_in(w,c_False,x)) -> hBOOL(c_in(w,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_HOL_Ominus__class_Ominus(y,tc_bool),v,tc_fun(x,tc_bool)),x))*.
% 299.97/300.62 27681[0:SpL:657.0,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,y,z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_COMBK(y,x1,x2),w,tc_fun(z,tc_bool)),z))*.
% 299.97/300.62 27674[0:SpL:956.0,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,u,y))* -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.62 27664[0:SpL:9728.0,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_SetInterval_Oord__class_OgreaterThanAtMost(z,z,tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.62 27663[0:SpL:9002.0,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_SetInterval_Oord__class_OgreaterThanAtMost(z,c_False,tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.62 27662[0:SpL:9428.0,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_SetInterval_Oord__class_OatLeastLessThan(z,z,tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.62 27661[0:SpL:8828.0,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_SetInterval_Oord__class_OatLeastLessThan(z,c_False,tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.62 28093[0:Res:4138.1,289.1] || equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,v,w,tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)))** hBOOL(c_in(y,u,w))* -> hBOOL(c_in(z,hAPP(v,y),x))*.
% 299.97/300.62 28346[0:SpL:28266.1,461.0] || equal(c_False,u) equal(u,hAPP(v,w))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),w),w)**.
% 299.97/300.62 28333[0:SpL:28266.1,461.0] || equal(c_False,u) equal(hAPP(v,u),u)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x,y)* -> equal(hAPP(hAPP(w,v),z),z)**.
% 299.97/300.62 28722[0:Obv:28717.1] || hBOOL(c_in(u,v,w))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,c_Set_Oimage(y,w,z),x1,x2)* -> equal(hAPP(hAPP(x,c_Set_Oinsert(hAPP(y,u),z)),v),v)**.
% 299.97/300.62 28782[0:SpL:28267.1,461.0] || equal(c_False,u) equal(hAPP(v,u),u) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),y,z)* -> equal(hAPP(hAPP(w,v),u),u)**.
% 299.97/300.62 28871[0:SpL:28268.1,461.0] || equal(c_False,u) equal(hAPP(v,w),w)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),y,z)* -> equal(hAPP(hAPP(x,v),u),u)**.
% 299.97/300.62 29001[0:SpL:28269.1,461.0] || equal(c_False,u) equal(hAPP(v,w),w) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),y,z)* -> equal(hAPP(hAPP(x,v),w),w)**.
% 299.97/300.62 29560[0:SpL:29202.1,461.0] || equal(c_False,u) equal(hAPP(v,w),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,c_SetInterval_Oord__class_OgreaterThanAtMost(x1,u,tc_bool)),w),w)**.
% 299.97/300.62 29552[0:SpL:29202.1,461.0] || equal(c_False,u) equal(hAPP(v,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_SetInterval_Oord__class_OgreaterThanAtMost(x,u,tc_bool),y,z)* -> equal(hAPP(hAPP(w,v),x1),x1)**.
% 299.97/300.62 30082[0:SpR:20279.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x))**.
% 299.97/300.62 30079[0:SpR:13625.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(u,c_False),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x))**.
% 299.97/300.62 30073[0:SpR:9798.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),w,x,y),z,hAPP(u,c_False),y,x),c_Fun_Ocomp(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),w,x,y))**.
% 299.97/300.62 30072[0:SpR:9003.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),w,x,y),z,hAPP(u,c_False),y,x),c_Fun_Ocomp(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),w,x,y))**.
% 299.97/300.62 30071[0:SpR:9514.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),w,x,y),z,hAPP(u,c_False),y,x),c_Fun_Ocomp(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),w,x,y))**.
% 299.97/300.62 30070[0:SpR:8829.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),w,x,y),z,hAPP(u,c_False),y,x),c_Fun_Ocomp(u,c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),w,x,y))**.
% 299.97/300.62 30062[0:SpR:899.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_COMBK(v,w,x),y,z,x1),x2,hAPP(u,v),x1,z),c_Fun_Ocomp(u,c_COMBK(v,w,x),y,z,x1))**.
% 299.97/300.62 30061[0:SpR:20337.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x))**.
% 299.97/300.62 30060[0:SpR:20322.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x),hAPP(c_lessequals(tc_bool),y),hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x))**.
% 299.97/300.62 30059[0:SpR:9926.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool),hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x))**.
% 299.97/300.62 30058[0:SpR:9035.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x),c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool),hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x))**.
% 299.97/300.62 30057[0:SpR:9692.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x),c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool),hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x))**.
% 299.97/300.62 30056[0:SpR:8861.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x),c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool),hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x))**.
% 299.97/300.62 30054[0:SpR:12711.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x),hAPP(c_Set_Oinsert(c_False,tc_bool),y),hAPP(u,c_False),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x))**.
% 299.97/300.62 30043[0:SpR:20294.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x))**.
% 299.97/300.62 30038[0:SpR:1926.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w,x,y),v,hAPP(u,v),y,x),c_Fun_Ocomp(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w,x,y))**.
% 299.97/300.62 30037[0:SpR:992.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w,x,y),c_False,hAPP(u,v),y,x),c_Fun_Ocomp(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w,x,y))**.
% 299.97/300.62 30036[0:SpR:1123.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w,x,y),c_False,hAPP(u,c_False),y,x),c_Fun_Ocomp(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w,x,y))**.
% 299.97/300.62 30035[0:SpR:963.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),v,w,x),y,hAPP(u,y),x,w),c_Fun_Ocomp(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),v,w,x))**.
% 299.97/300.62 30034[0:SpR:1094.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w,x),y,hAPP(u,c_False),x,w),c_Fun_Ocomp(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w,x))**.
% 299.97/300.62 30020[0:SpR:159.0,424.0] || -> equal(hAPP(c_Fun_Ofun__upd(c_Fun_Ocomp(u,v,w,x,y),z,hAPP(u,x1),y,x),x2),hAPP(u,hAPP(c_Fun_Ofun__upd(v,z,x1,y,w),x2)))**.
% 299.97/300.62 30465[0:SpL:29751.1,461.0] || equal(c_False,u) equal(hAPP(v,w),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,c_SetInterval_Oord__class_OatLeastLessThan(x1,u,tc_bool)),w),w)**.
% 299.97/300.62 30457[0:SpL:29751.1,461.0] || equal(c_False,u) equal(hAPP(v,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_SetInterval_Oord__class_OatLeastLessThan(x,u,tc_bool),y,z)* -> equal(hAPP(hAPP(w,v),x1),x1)**.
% 299.97/300.62 30698[0:SSi:30647.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),x)),w))*.
% 299.97/300.62 30699[0:SSi:30644.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x),v)),w))*.
% 299.97/300.62 34495[0:Res:37.1,58.1] class_Lattices_Olattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)),w))*.
% 299.97/300.62 34470[0:Res:232.1,58.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),x)).
% 299.97/300.62 34469[0:Res:229.1,58.1] class_Lattices_Olattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),x)).
% 299.97/300.62 34468[0:Res:233.1,58.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x)).
% 299.97/300.62 34467[0:Res:228.1,58.1] class_Lattices_Olattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x)).
% 299.97/300.62 34453[0:Res:36.1,58.1] class_Lattices_Olattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)),w))*.
% 299.97/300.62 34520[0:SSi:34480.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),x)).
% 299.97/300.62 34521[0:SSi:34472.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),x)).
% 299.97/300.62 34522[0:SSi:34471.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),w),x)).
% 299.97/300.62 34862[0:Res:37.1,485.1] class_Lattices_Olattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)),w))*.
% 299.97/300.62 34835[0:Res:229.1,485.1] class_Lattices_Olattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),x)).
% 299.97/300.62 34833[0:Res:228.1,485.1] class_Lattices_Olattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x)).
% 299.97/300.62 34819[0:Res:36.1,485.1] class_Lattices_Olattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)),w))*.
% 299.97/300.62 34878[0:Obv:34872.0] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* hBOOL(hAPP(hAPP(c_lessequals(u),w),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x))*.
% 299.97/300.62 35299[0:SpL:35239.1,461.0] || equal(c_False,u) equal(hAPP(c_fequal(tc_bool),u),u) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_fequal(tc_bool),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OInf__class_OInf(tc_bool)),u),u)**.
% 299.97/300.62 35386[0:Res:41.1,52.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x)).
% 299.97/300.62 35385[0:Res:37.1,52.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x)).
% 299.97/300.62 35358[0:Res:229.1,52.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w)))*.
% 299.97/300.62 35356[0:Res:228.1,52.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)))*.
% 299.97/300.62 35343[0:Res:42.1,52.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)).
% 299.97/300.62 35342[0:Res:36.1,52.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)).
% 299.97/300.62 35403[0:SSi:35361.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x)))*.
% 299.97/300.62 35404[0:SSi:35360.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),w)))*.
% 299.97/300.62 35929[0:Res:37.1,484.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x)).
% 299.97/300.62 35902[0:Res:229.1,484.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w)))*.
% 299.97/300.62 35900[0:Res:228.1,484.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)))*.
% 299.97/300.62 35886[0:Res:36.1,484.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)).
% 299.97/300.62 35946[0:Obv:35938.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* hBOOL(hAPP(hAPP(c_lessequals(u),x),v))* -> hBOOL(hAPP(hAPP(c_lessequals(u),x),w))*.
% 299.97/300.62 35949[0:SSi:35905.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x)))*.
% 299.97/300.62 35950[0:SSi:35904.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),w)))*.
% 299.97/300.62 35959[0:Res:28272.1,1141.0] || equal(c_False,u) -> equal(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(v,w),hAPP(c_HOL_Oord__class_Oless(tc_bool),u))),u) hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_HOL_Oord__class_Oless(tc_bool),u)),c_False))*.
% 299.97/300.62 36557[0:Obv:36396.0] class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),v)))*.
% 299.97/300.62 36940[0:Obv:36818.0] class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)))*.
% 299.97/300.62 37021[0:SpR:20230.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool))),w,x))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y),w),y))*.
% 299.97/300.62 37263[0:Obv:37202.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x))**.
% 299.97/300.62 37264[0:Obv:37199.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x))**.
% 299.97/300.62 37274[0:Obv:37123.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),v)))*.
% 299.97/300.62 37647[0:Obv:37594.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x))**.
% 299.97/300.62 37648[0:Obv:37592.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x))**.
% 299.97/300.62 37658[0:Obv:37543.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)))*.
% 299.97/300.62 38170[0:Rew:242.1,38169.1] class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w)))*.
% 299.97/300.62 38707[0:Rew:25.1,38706.1] class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w)))*.
% 299.97/300.62 39298[0:Obv:39185.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v))**.
% 299.97/300.62 39299[0:Obv:39182.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v))**.
% 299.97/300.62 39314[0:Rew:239.1,39313.1] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w)))*.
% 299.97/300.62 39844[0:Obv:39738.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v))**.
% 299.97/300.62 39845[0:Obv:39736.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),v))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v))**.
% 299.97/300.62 39860[0:Rew:128.1,39859.1] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w)))*.
% 299.97/300.62 40004[0:Obv:39979.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),c_SetInterval_Oord__class_OatLeastAtMost(w,x,u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),x)).
% 299.97/300.62 40143[0:Res:793.0,660.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_fequal(v),w,x,t_a)),t_a)* equal(v_sko__Hoare__Mirabelle__Xescape__1(u,c_fequal(v),x,w),v_sko__Hoare__Mirabelle__Xescape__2(u,c_fequal(v),x,w)).
% 299.97/300.62 40102[0:SpR:1088.0,793.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xescape__2(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,v,t_a)),t_a)*.
% 299.97/300.62 40085[0:SpR:657.0,793.0] || -> hBOOL(hAPP(u,v_sko__Hoare__Mirabelle__Xescape__2(v,c_COMBK(u,w,x),y,z)))* c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(u,w,x),z,y,t_a)),t_a)*.
% 299.97/300.62 40071[0:SpR:9728.0,793.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xescape__2(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),w,x))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),x,w,t_a)),t_a)*.
% 299.97/300.62 40070[0:SpR:9002.0,793.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xescape__2(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),w,x))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),x,w,t_a)),t_a)*.
% 299.97/300.62 40069[0:SpR:9428.0,793.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xescape__2(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),w,x))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),x,w,t_a)),t_a)*.
% 299.97/300.62 40068[0:SpR:8828.0,793.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xescape__2(u,c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),w,x))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),x,w,t_a)),t_a)*.
% 299.97/300.62 40379[0:Res:792.0,660.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_fequal(v),w,x,t_a)),t_a)* equal(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(u,c_fequal(v),x,w),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,c_fequal(v),x,w)).
% 299.97/300.62 40338[0:SpR:1088.0,792.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,v,t_a)),t_a)*.
% 299.97/300.62 40321[0:SpR:657.0,792.0] || -> hBOOL(hAPP(u,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v,c_COMBK(u,w,x),y,z)))* c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(u,w,x),z,y,t_a)),t_a)*.
% 299.97/300.62 40307[0:SpR:9728.0,792.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),w,x))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),x,w,t_a)),t_a)*.
% 299.97/300.62 40306[0:SpR:9002.0,792.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),w,x))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),x,w,t_a)),t_a)*.
% 299.97/300.62 40305[0:SpR:9428.0,792.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),w,x))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),x,w,t_a)),t_a)*.
% 299.97/300.62 40304[0:SpR:8828.0,792.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),w,x))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),x,w,t_a)),t_a)*.
% 299.97/300.62 40580[0:Res:791.0,660.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_fequal(v),w,x,t_a)),t_a)* equal(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(u,c_fequal(v),x,w),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,c_fequal(v),x,w)).
% 299.97/300.62 40539[0:SpR:1088.0,791.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,v,t_a)),t_a)*.
% 299.97/300.62 40522[0:SpR:657.0,791.0] || -> hBOOL(hAPP(u,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v,c_COMBK(u,w,x),y,z)))* c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(u,w,x),z,y,t_a)),t_a)*.
% 299.97/300.62 40508[0:SpR:9728.0,791.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),w,x))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),x,w,t_a)),t_a)*.
% 299.97/300.62 40507[0:SpR:9002.0,791.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),w,x))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),x,w,t_a)),t_a)*.
% 299.97/300.62 40506[0:SpR:9428.0,791.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),w,x))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),x,w,t_a)),t_a)*.
% 299.97/300.62 40505[0:SpR:8828.0,791.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),w,x))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),x,w,t_a)),t_a)*.
% 299.97/300.62 41974[0:Res:4138.1,204.0] || equal(hAPP(c_Set_Oimage(u,v,w),x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))** c_Fun_Oinj__on(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),v,w)* -> hBOOL(c_in(y,x,v))*.
% 299.97/300.62 41967[0:Res:253.1,204.0] || hBOOL(hAPP(hAPP(c_Set_Oimage(u,v,w),x),hAPP(u,y)))* c_Fun_Oinj__on(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),v,w)* -> hBOOL(c_in(y,x,v)).
% 299.97/300.62 42922[0:SpR:794.0,138.1] || c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_fequal(v),w)),v) -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),x)),v)*.
% 299.97/300.62 43141[0:SpL:795.0,7112.0] || hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_Set_Oinsert(x,w),y)),w))* -> hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),y),u)).
% 299.97/300.62 43135[0:SpL:795.0,3223.0] || hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),x)),y))* -> hBOOL(c_in(y,hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),x),v)).
% 299.97/300.62 43716[0:SpL:356.1,3956.0] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),x)),y))* hBOOL(c_in(y,x,v)) -> hBOOL(c_in(u,x,v)).
% 299.97/300.62 43647[0:SpR:356.1,138.1] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),w),v) -> hBOOL(c_in(u,x,v)) c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),x)),v)*.
% 299.97/300.62 43769[0:SpR:13719.1,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> equal(u,c_False) hBOOL(c_in(x,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_fun(tc_bool,tc_bool)),w,y),v),y))*.
% 299.97/300.62 44210[0:SpR:456.0,3816.1] || hBOOL(c_in(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,w,x,tc_fun(y,tc_bool)),y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(z,x),v),w,x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.62 44630[0:SpL:44156.1,461.0] || equal(c_False,u) equal(hAPP(c_lessequals(tc_bool),u),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_lessequals(tc_bool),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OInf__class_OInf(tc_bool)),u),u)**.
% 299.97/300.62 44649[0:SpL:44578.0,779.1] || hBOOL(c_in(u,hAPP(c_fequal(v),w),v))* equal(hAPP(x,w),c_COMBK(c_False,tc_bool,y))* -> equal(hAPP(x,u),c_COMBK(c_False,tc_bool,y))*.
% 299.97/300.62 45284[0:SpR:1916.0,87.2] || c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u,v,w,x,y) -> hBOOL(c_in(w,v,x)) c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u,hAPP(c_Set_Oinsert(w,x),v),w,x,y)*.
% 299.97/300.62 45283[0:SpR:1118.0,87.2] || c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u,v,c_False,w,x) -> hBOOL(c_in(y,v,w)) c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u,hAPP(c_Set_Oinsert(y,w),v),c_False,w,x)*.
% 299.97/300.62 45281[0:SpR:1088.0,87.2] || c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u,v,w,x,y)* -> hBOOL(c_in(c_False,v,x)) c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u,hAPP(c_Set_Oinsert(c_False,x),v),c_False,x,y)*.
% 299.97/300.62 45251[0:SpR:988.0,87.2] || c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u,v,c_False,w,x) -> hBOOL(c_in(y,v,w)) c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u,hAPP(c_Set_Oinsert(y,w),v),y,w,x)*.
% 299.97/300.62 45236[0:SpR:956.0,87.2] || c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u,v,w,x,y) -> hBOOL(c_in(c_False,v,x)) c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u,hAPP(c_Set_Oinsert(c_False,x),v),w,x,y)*.
% 299.97/300.62 45466[0:SSi:45447.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x),v)),w))*.
% 299.97/300.62 45467[0:SSi:45406.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),x)),w))*.
% 299.97/300.62 46016[0:Res:513.1,530.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oimage(x,u,tc_Hoare__Mirabelle_Otriple(y)),w),hAPP(c_Set_Oimage(x,u,tc_Hoare__Mirabelle_Otriple(y)),v),y)*.
% 299.97/300.62 46114[0:SpR:34556.1,361.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),x)) hBOOL(c_in(x,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),w,y),v),y))*.
% 299.97/300.62 46518[0:SpL:104.2,5078.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastLessThan(w,x,u),y))* -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastLessThan(v,x,u),y))*.
% 299.97/300.62 46433[0:SpR:104.2,320.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,x,u)),c_SetInterval_Oord__class_OatLeastLessThan(v,x,u)))*.
% 299.97/300.62 49195[2:Res:225.1,47875.1] || c_Finite__Set_Ofold__graph(u,v,w,x,y,y) equal(hAPP(c_Finite__Set_Ofold1Set(u,hAPP(c_Set_Oinsert(v,y),w),y),x),c_False)** -> hBOOL(c_in(v,w,y)).
% 299.97/300.62 49128[2:Res:83.3,47875.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) equal(hAPP(hAPP(c_lessequals(u),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(u),w,u)),v),c_False)** -> .
% 299.97/300.62 50584[2:SpL:50431.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(hAPP(hAPP(c_lessequals(u),c_False),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),u)),w))*.
% 299.97/300.62 50551[2:SpR:50431.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),y,u)))*.
% 299.97/300.62 50550[2:SpR:50431.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),y,u)),c_False))*.
% 299.97/300.62 52389[0:MRR:52347.3,1319.1] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),u)),w))*.
% 299.97/300.62 54845[0:Obv:54691.0] class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),v)),w))*.
% 299.97/300.62 55261[0:Obv:55077.0] class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),v)),w))*.
% 299.97/300.62 56426[0:SpR:515.0,237.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(v,w,u),x)),hAPP(c_Set_Oimage(v,w,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),y),x))))*.
% 299.97/300.62 56396[0:SpR:515.0,236.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(v,w,u),x)),hAPP(c_Set_Oimage(v,w,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),y))))*.
% 299.97/300.62 56394[0:SpR:515.0,428.1] || hBOOL(hAPP(hAPP(c_Set_Oimage(u,v,w),x),y)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(u,v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),z),x)),y))*.
% 299.97/300.62 56393[0:SpR:515.0,429.1] || hBOOL(hAPP(hAPP(c_Set_Oimage(u,v,w),x),y)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(u,v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),z)),y))*.
% 299.97/300.62 57795[0:Obv:57642.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,c_Fun_Ocomp(y,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),w,w,w)),z),hAPP(hAPP(u,y),z))**.
% 299.97/300.62 57802[0:Obv:57668.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,c_Set_Oinsert(v,w),x,y)* -> equal(hAPP(hAPP(u,c_Fun_Ocomp(z,c_Set_Oinsert(v,w),x,x,x)),x1),hAPP(hAPP(u,z),x1))**.
% 299.97/300.62 58245[0:MRR:58244.2,13373.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> equal(w,c_False)* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool)))*.
% 299.97/300.62 58247[2:MRR:58246.2,47833.1] || hBOOL(u)* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_bool)))*.
% 299.97/300.62 58249[0:MRR:58248.2,13373.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> equal(w,c_False)* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool)))*.
% 299.97/300.62 58251[2:MRR:58250.2,47833.1] || hBOOL(u)* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_bool)))*.
% 299.97/300.62 58253[0:MRR:58252.2,13373.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> equal(w,c_False)* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool)))*.
% 299.97/300.62 58255[2:MRR:58254.2,47833.1] || hBOOL(u)* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_bool)))*.
% 299.97/300.62 58257[0:MRR:58256.2,13373.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> equal(w,c_False)* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool)))*.
% 299.97/300.62 58259[2:MRR:58258.2,47833.1] || hBOOL(u)* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_bool)))*.
% 299.97/300.62 58513[0:SpL:58351.0,331.1] || hBOOL(c_in(u,v,w)) hBOOL(c_in(x,u,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.62 58488[0:SpR:58351.0,87.2] || c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u,v,w,x,y) -> hBOOL(c_in(w,v,x)) c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u,hAPP(c_Set_Oinsert(w,x),v),w,x,y)*.
% 299.97/300.62 58913[0:Con:58844.3] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,v,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u)).
% 299.97/300.62 58914[0:Con:58843.3] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,v,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u)).
% 299.97/300.62 58916[0:Con:58837.3] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,v,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u)).
% 299.97/300.62 58917[0:Con:58836.3] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,v,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u)).
% 299.97/300.62 61057[0:MRR:61056.1,494.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),c_SetInterval_Oord__class_OatLeastAtMost(w,x,u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v)).
% 299.97/300.62 61231[0:MRR:61230.1,494.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),c_SetInterval_Oord__class_OatLeastAtMost(w,x,u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x)).
% 299.97/300.62 61482[0:MRR:61481.1,494.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),c_SetInterval_Oord__class_OatLeastAtMost(w,x,u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v)).
% 299.97/300.62 61704[0:MRR:61703.1,494.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),c_SetInterval_Oord__class_OatLeastAtMost(w,x,u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x)).
% 299.97/300.62 61863[0:Rew:149.0,61854.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_fequal(w),x),y,w,tc_fun(v,tc_bool))),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(y,x)))**.
% 299.97/300.62 63075[0:SpL:336.0,24.0] || c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),tc_fun(u,tc_bool)),x),u)* -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),x),u).
% 299.97/300.62 63074[0:SpL:336.0,23.0] || c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),tc_fun(u,tc_bool)),x),u)* -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool)),x),u).
% 299.97/300.62 62980[0:SpR:336.0,1384.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),u)*.
% 299.97/300.62 62979[0:SpR:336.0,1383.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),u)*.
% 299.97/300.62 63320[0:Rew:8987.0,63287.2] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),v))* hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)))* -> equal(v,u).
% 299.97/300.62 63321[0:Rew:8814.0,63286.2] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),v))* hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)))* -> equal(v,u).
% 299.97/300.62 63336[0:Rew:677.0,63269.2] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),c_COMBK(c_False,tc_bool,u)))* -> equal(w,v).
% 299.97/300.62 66696[0:SpL:508.0,24.0] || c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x,u,tc_fun(y,tc_bool)),y)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,x,u,tc_fun(y,tc_bool)),y).
% 299.97/300.62 66695[0:SpL:508.0,23.0] || c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x,u,tc_fun(y,tc_bool)),y)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,x,u,tc_fun(y,tc_bool)),y).
% 299.97/300.62 68022[0:SpL:63959.0,352.0] || hBOOL(u) hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,tc_fun(x,tc_bool)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u))))*.
% 299.97/300.62 68989[0:SpL:64010.0,352.0] || hBOOL(u) hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,tc_fun(x,tc_bool)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))))*.
% 299.97/300.62 69303[0:SpR:58437.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w,x,y),v,hAPP(u,v),y,x),c_Fun_Ocomp(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w,x,y))**.
% 299.97/300.62 69596[0:SpR:61332.1,361.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v),x))*.
% 299.97/300.62 70289[2:SpL:818.1,49184.0] || hBOOL(c_in(u,v,w)) equal(hAPP(hAPP(c_Set_Oinsert(x,y),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(z,u,x1,w,y),w,y),v)),x1),c_False)** -> .
% 299.97/300.62 70254[0:SpR:818.1,26868.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,v_x,w,t_a),w,t_a),v),v_x))))*.
% 299.97/300.62 70235[0:SpR:818.1,12724.0] || hBOOL(c_in(u,v,w)) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(x,tc_bool),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(y,u,c_False,w,tc_bool),w,tc_bool),v))),c_False)**.
% 299.97/300.62 70234[0:SpR:818.1,59016.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),x),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(y,u,x,w,tc_bool),w,tc_bool),v))))*.
% 299.97/300.62 70233[0:SpR:818.1,59997.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,y,w,tc_bool),w,tc_bool),v))),y))*.
% 299.97/300.62 70232[0:SpR:818.1,28358.1] || hBOOL(c_in(u,v,w)) equal(c_False,x) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(y,u,x,w,tc_bool),w,tc_bool),v)),x)**.
% 299.97/300.62 70199[0:SpR:818.1,12711.0] || hBOOL(c_in(u,v,w)) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,c_False,w,tc_bool),w,tc_bool),v),c_False,y,z),c_Complete__Lattice_OInf__class_OInf(tc_bool))**.
% 299.97/300.62 70188[0:SpR:818.1,2652.0] || hBOOL(c_in(u,v,w)) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,y,w,tc_Hoare__Mirabelle_Otriple(z)),w,tc_Hoare__Mirabelle_Otriple(z)),v),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(z)),y),z)*.
% 299.97/300.62 70612[0:Rew:8976.0,70487.2] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u))),v))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool)).
% 299.97/300.62 70822[0:Rew:8976.0,70774.2] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.62 70900[0:SpR:68028.1,361.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(hAPP(c_fequal(tc_bool),u),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.62 72384[0:Rew:8976.0,72252.2] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))),v))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool)).
% 299.97/300.62 72794[0:Rew:8976.0,72740.2] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.62 72836[0:SpR:68995.1,361.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.62 73155[0:SpR:34557.1,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),w,y),v),y))*.
% 299.97/300.62 73395[0:SpR:34558.1,361.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))* hBOOL(c_in(x,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),w,y),v),y))*.
% 299.97/300.62 73630[0:Res:716.0,835.0] || -> hBOOL(hAPP(hAPP(u,v_sko__Hoare__Mirabelle__Xconseq12__1(u,v,w,v)),v_sko__Hoare__Mirabelle__Xconseq12__2(u,v,w,v)))* c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(u,c_Com_Ocom_OSKIP,w,t_a)),t_a)*.
% 299.97/300.62 73939[0:SpL:818.1,73752.0] || hBOOL(c_in(u,v,w)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,v_x,w,t_a),w,t_a),v),v_x)),c_False))* -> .
% 299.97/300.62 74576[0:MRR:74183.1,74183.2,1055.0,1061.0] class_Ring__and__Field_Oring(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(v,hAPP(c_fequal(w),x),w,u),u),hAPP(v,x)),c_Finite__Set_Osetsum(v,c_COMBK(c_False,tc_bool,w),w,u))**.
% 299.97/300.62 75375[0:MRR:74979.1,74979.2,1055.0,1061.0] class_OrderedGroup_Oab__group__add(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(v,hAPP(c_fequal(w),x),w,u),u),hAPP(v,x)),c_Finite__Set_Osetsum(v,c_COMBK(c_False,tc_bool,w),w,u))**.
% 299.97/300.62 75397[0:SpR:34559.1,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),x)) hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),w,y),v),y))*.
% 299.97/300.62 75961[2:SpR:50408.1,361.1] || hBOOL(u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(c_in(x,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_fun(tc_bool,tc_bool)),w,y),v),y))*.
% 299.97/300.62 77080[0:SpR:326.1,58783.0] || hBOOL(c_in(u,v,w)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(x,u)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(x,w,tc_bool),v))),hAPP(x,u))**.
% 299.97/300.62 76995[0:SpR:58783.0,361.1] || hBOOL(c_in(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),w,x))* -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x,y),w),y))*.
% 299.97/300.62 77342[0:SpR:326.1,59886.0] || hBOOL(c_in(u,v,w)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(x,u)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(x,w,tc_bool),v))),hAPP(x,u))**.
% 299.97/300.62 77249[0:SpR:59886.0,361.1] || hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),v)),w,x))* -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,y),w),y))*.
% 299.97/300.62 77886[0:SpR:9624.0,361.1] || hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool),tc_fun(tc_bool,tc_bool)),w,y),v),y))*.
% 299.97/300.62 78019[0:Rew:9635.0,77919.2] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),v))* hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)))* -> equal(v,u).
% 299.97/300.62 78257[0:SpR:9857.0,361.1] || hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool),tc_fun(tc_bool,tc_bool)),w,y),v),y))*.
% 299.97/300.62 78392[0:Rew:9868.0,78289.2] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),v))* hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)))* -> equal(v,u).
% 299.97/300.62 79732[0:SpL:5292.1,78858.0] class_Orderings_Oorder(u) || equal(v,c_False) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),c_False) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),tc_bool))*.
% 299.97/300.62 79731[0:SpL:5160.1,78858.0] class_Orderings_Oorder(u) || equal(v,c_False) equal(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),c_False) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),tc_bool))*.
% 299.97/300.62 80014[0:Rew:79664.4,79663.4] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_False) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(u),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(u),tc_bool)).
% 299.97/300.62 80015[0:Rew:80014.4,79664.4] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_False) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_False)** -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(u),tc_bool)).
% 299.97/300.62 80020[0:Rew:79973.1,79796.3] class_Orderings_Oorder(u) || equal(hAPP(c_fequal(u),v),c_False) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),c_False) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),hAPP(c_fequal(u),v))*.
% 299.97/300.62 80021[0:Rew:79973.1,79795.3] class_Orderings_Oorder(u) || equal(hAPP(c_fequal(u),v),c_False) equal(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),c_False) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),hAPP(c_fequal(u),v))*.
% 299.97/300.62 80052[0:Obv:79783.0] || equal(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),c_False)** -> equal(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.62 80053[0:Obv:79782.0] || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),c_False)** -> equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.62 80054[0:Obv:79781.0] || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),c_False)** -> equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.62 80055[0:Obv:79780.0] || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),c_False)** -> equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.62 80056[0:Obv:79779.0] || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),c_False)** -> equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.62 80463[0:Rew:80024.1,80424.2] || hBOOL(hAPP(hAPP(c_fequal(u),v),c_False))* equal(hAPP(c_Set_Oinsert(v,u),w),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,u),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.62 80418[0:Res:156.1,79861.0] class_Orderings_Olinorder(u) || equal(hAPP(c_lessequals(u),v),c_False) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_False),v))* equal(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.62 80417[0:Res:518.1,79861.0] class_Orderings_Olinorder(u) || equal(hAPP(c_lessequals(u),v),c_False) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),v))* equal(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.62 80404[0:Res:26440.1,79861.0] || hBOOL(c_in(v_x,u,t_a)) equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(u,v_x)),c_False)** -> equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(u,v_x)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.62 80402[0:Res:26226.0,79861.0] || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),c_False)** -> equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.62 80360[0:Res:156.2,79861.0] class_Orderings_Olinorder(u) || equal(hAPP(c_HOL_Oord__class_Oless(u),v),c_False) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),v))* equal(hAPP(c_HOL_Oord__class_Oless(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.62 80211[0:SpL:728.0,79861.0] || hBOOL(hAPP(c_fequal(u),c_False)) equal(c_COMBC(c_fequal(u),u,u,tc_bool),c_False)** -> equal(c_COMBC(c_fequal(u),u,u,tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.62 80490[0:Rew:80024.1,80390.1] || equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_lessequals(tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w))),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(u,v),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.62 80877[0:SpR:12371.2,361.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),x,y),w),y))*.
% 299.97/300.62 81188[0:SpR:14438.2,361.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),x,y),w),y))*.
% 299.97/300.62 81884[0:SSi:81847.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(u,v)),hAPP(hAPP(c_Set_Oinsert(w,x),u),v)))* equal(hAPP(hAPP(c_Set_Oinsert(w,x),u),v),hAPP(u,v)).
% 299.97/300.62 82046[0:SSi:82014.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(u,tc_bool)),c_False)))* equal(hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(u,tc_bool)),c_False),u).
% 299.97/300.62 82145[0:SpL:82115.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))**.
% 299.97/300.62 82136[0:SpR:82115.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u),w)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),w)))*.
% 299.97/300.62 83724[0:SpR:21031.1,4377.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),u),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.62 83758[0:MRR:83751.1,3100.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,tc_fun(w,tc_bool)),x))*.
% 299.97/300.62 83957[0:SpR:341.0,23916.1] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),v_x)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v_x),v)),hAPP(w,v_x)))*.
% 299.97/300.62 86743[0:SpR:405.0,27005.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(u,v,w),x),tc_fun(w,tc_bool)),hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(y,v),x))),c_COMBK(c_False,tc_bool,w))**.
% 299.97/300.62 86686[0:SpR:27005.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),y,z),x),c_COMBK(c_False,tc_bool,v)))*.
% 299.97/300.62 87415[0:Res:27.2,86811.0] class_HOL_Oord(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,u)),w),x))* hBOOL(x) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(v,u)),w)))*.
% 299.97/300.62 87344[0:Res:264.2,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* hBOOL(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,y,x,u))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(y,v))))*.
% 299.97/300.62 87340[0:Res:434.2,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* hBOOL(hAPP(y,v))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,y,x,u))))*.
% 299.97/300.62 87338[0:Res:221.3,86811.0] class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,u))* c_Finite__Set_Ofinite(w,u) hBOOL(c_Finite__Set_Olinorder__class_OMax(w,u)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)))*.
% 299.97/300.62 87336[0:Res:222.3,86811.0] class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,u))* c_Finite__Set_Ofinite(w,u) hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Finite__Set_Olinorder__class_OMin(w,u))))*.
% 299.97/300.62 86914[0:SpL:771.1,86811.0] || hBOOL(hAPP(c_fequal(u),v)) hBOOL(w)* -> equal(w,c_COMBK(c_False,tc_bool,x))* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oimage(c_COMBK(v,u,x),x,u)))*.
% 299.97/300.62 88318[0:SpL:803.2,22615.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(hAPP(c_Set_Oimage(x,u,y),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_COMBK(c_False,tc_bool,y))** -> .
% 299.97/300.62 88569[0:SpR:22632.0,405.0] || -> equal(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),hAPP(c_fequal(v),y))),hAPP(c_Set_Oinsert(hAPP(u,x),w),hAPP(c_fequal(w),hAPP(u,y))))*.
% 299.97/300.62 88546[0:SpR:22632.0,4377.1] || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(y,u,z),x,x1),w),hAPP(c_fequal(z),hAPP(y,v))))*.
% 299.97/300.62 88624[0:Rew:22632.0,88533.1] || -> hBOOL(c_in(u,hAPP(c_fequal(v),w),v))* equal(hAPP(c_fequal(x),hAPP(c_Fun_Ofun__upd(y,u,z,v,x),w)),hAPP(c_fequal(x),hAPP(y,w)))**.
% 299.97/300.62 89079[0:Res:22324.0,331.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y))* -> hBOOL(c_in(hAPP(z,u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Set_Oimage(z,v,x1),y,tc_fun(x1,tc_bool)),x1))*.
% 299.97/300.62 89073[0:Res:22324.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,hAPP(v,w)),x) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(v,y,z),hAPP(c_Set_Oinsert(w,y),x1)),u,z,tc_fun(x,tc_bool)),x)*.
% 299.97/300.62 88875[0:SpR:2651.0,22324.0] || -> hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x,y),hAPP(c_Set_Oinsert(hAPP(c_fequal(v),u),x),z)),y))*.
% 299.97/300.62 88866[0:SpR:3333.0,22324.0] || -> hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w)),hAPP(c_Set_Oimage(c_Set_Oinsert(w,v),x,y),hAPP(c_Set_Oinsert(hAPP(c_fequal(v),u),x),z)),y))*.
% 299.97/300.62 88826[0:SpR:341.0,22324.0] || -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x,y),hAPP(c_Set_Oinsert(v,x),z)),y))*.
% 299.97/300.62 88783[0:SpR:757.0,22324.0] || -> hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_fequal(v),u)),x,y),hAPP(c_Set_Oinsert(w,x),z)),y))*.
% 299.97/300.62 88745[0:SpR:3059.1,22324.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),hAPP(c_Set_Oimage(c_Set_Oinsert(w,v),x,y),hAPP(c_Set_Oinsert(u,x),z)),y))*.
% 299.97/300.62 88691[0:SpR:803.2,22324.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(c_in(hAPP(x,w),hAPP(c_Set_Oimage(x,u,y),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),y))*.
% 299.97/300.62 88690[0:SpR:802.2,22324.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(c_in(hAPP(x,v),hAPP(c_Set_Oimage(x,u,y),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),y))*.
% 299.97/300.62 89579[0:SSi:89560.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),tc_fun(u,tc_bool))),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),tc_fun(u,tc_bool)))**.
% 299.97/300.62 89714[0:SSi:89695.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),v)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(w,tc_fun(u,tc_bool)),v))))* -> .
% 299.97/300.62 89957[0:SpL:456.0,18905.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(v,w),x),y,w,tc_fun(u,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,y,w,tc_fun(u,tc_bool))))* -> .
% 299.97/300.62 90008[0:SSi:89979.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(u,tc_bool)),w))),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),w)))* -> .
% 299.97/300.62 90199[2:SpL:818.1,88486.1] || hBOOL(c_in(u,v,w)) hBOOL(x) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(y,u,x,w,z),w,z),v)),c_False)** -> .
% 299.97/300.62 90387[0:SpR:5566.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),u),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),y),w),z)),x))*.
% 299.97/300.62 90688[0:SpL:90441.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(u,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),u),x,tc_fun(z,tc_bool)),v))*.
% 299.97/300.62 90597[0:SpR:90441.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),u),w,tc_fun(x,tc_bool))))*.
% 299.97/300.62 90596[0:SpR:90441.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),u),w,tc_fun(x,tc_bool))),u))*.
% 299.97/300.62 90838[0:SpR:5568.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),u),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),y),u),w),z)),x))*.
% 299.97/300.62 91109[0:SpL:818.1,87685.0] || hBOOL(c_in(u,v,w)) hBOOL(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,y,w,z),w,z),v))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oinsert(y,z))).
% 299.97/300.62 91130[0:SpR:8036.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),y),u),w),z)),x))*.
% 299.97/300.62 91305[0:SSi:91140.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),x)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),x)).
% 299.97/300.62 91306[0:SSi:91139.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),x)).
% 299.97/300.62 91444[0:SpR:8037.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),u),y),w),z)),x))*.
% 299.97/300.62 91615[0:SSi:91454.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),x)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w)).
% 299.97/300.62 91616[0:SSi:91453.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)).
% 299.97/300.62 91651[0:SpR:770.0,8786.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Set_Oinsert(u,v),w),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),hAPP(c_fequal(v),u)),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))**.
% 299.97/300.62 91845[0:SpR:770.0,8941.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(c_Set_Oinsert(u,v),w),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),hAPP(c_fequal(v),u)),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))**.
% 299.97/300.62 92326[0:SpR:86793.0,361.1] || hBOOL(c_in(hAPP(hAPP(c_Set_Oinsert(u,t_a),v),v_x),w,x))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(hAPP(v,v_x),tc_bool),x,y),w),y))*.
% 299.97/300.62 92514[0:MRR:92504.1,49337.2] class_OrderedGroup_Opordered__ab__group__add(tc_bool) || equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_bool),v),c_False)** -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Set_Oinsert(w,t_a),x),v_x)),hAPP(x,v_x)))*.
% 299.97/300.62 92896[0:SpR:22632.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oimage(u,v,w),tc_fun(x,tc_bool)),y),hAPP(c_fequal(v),z))),hAPP(c_fequal(w),hAPP(u,z))))*.
% 299.97/300.62 92879[0:SpR:5293.1,24257.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(v,u),tc_fun(w,tc_bool)),x),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u))),hAPP(c_fequal(u),v)))*.
% 299.97/300.62 92878[0:SpR:5161.1,24257.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(v,u),tc_fun(w,tc_bool)),x),c_SetInterval_Oord__class_OatLeastLessThan(y,y,u))),hAPP(c_fequal(u),v)))*.
% 299.97/300.62 92833[0:SpR:5278.2,24257.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(u),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u))),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.62 92832[0:SpR:5147.2,24257.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(u),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OatLeastLessThan(x,x,u))),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.62 92817[0:SpR:27005.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),tc_fun(w,tc_bool)),x),hAPP(c_Set_Oinsert(y,v),u))),c_COMBK(c_False,tc_bool,v)))*.
% 299.97/300.62 92807[0:SpR:5277.2,24257.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OSup__class_OSup(u),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u))),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.62 92806[0:SpR:5146.2,24257.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OSup__class_OSup(u),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OatLeastLessThan(x,x,u))),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.62 92740[0:SpR:1523.1,24257.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(v,u),tc_fun(w,tc_bool)),x),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)))*.
% 299.97/300.62 92696[0:SpR:5398.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),tc_fun(w,tc_bool)),x),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),y))),v))*.
% 299.97/300.62 92692[0:SpR:11.1,24257.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_fun(w,tc_bool)),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y))),v))*.
% 299.97/300.62 92689[0:SpR:3.1,24257.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_fun(w,tc_bool)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y))),v))*.
% 299.97/300.62 92678[0:SpR:2367.1,24257.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_fun(w,tc_bool)),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v))),v))*.
% 299.97/300.62 92677[0:SpR:2281.1,24257.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_fun(w,tc_bool)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),v))),v))*.
% 299.97/300.62 92659[0:SpR:1091.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),tc_fun(v,tc_bool)),w),x)),c_COMBK(c_False,tc_bool,u)))*.
% 299.97/300.62 92650[0:SpR:279.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),tc_fun(v,tc_bool)),w),x)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))*.
% 299.97/300.62 92649[0:SpR:167.1,24257.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_fun(w,tc_bool)),x),y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v)))*.
% 299.97/300.62 92648[0:SpR:168.1,24257.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_fun(w,tc_bool)),x),y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v)))*.
% 299.97/300.62 92646[0:SpR:1597.1,24257.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(u),v),tc_fun(w,tc_bool)),x),y)),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(y,y,u),v)))*.
% 299.97/300.62 92644[0:SpR:342.1,24257.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_fun(w,tc_bool)),x),y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),v)))*.
% 299.97/300.62 92643[0:SpR:343.1,24257.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_fun(w,tc_bool)),x),y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),v)))*.
% 299.97/300.62 92641[0:SpR:1119.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),tc_fun(w,tc_bool)),x),c_COMBK(c_False,tc_bool,u))),c_COMBK(c_False,tc_bool,u)))*.
% 299.97/300.62 92630[0:SpR:5527.2,24257.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_fun(w,tc_bool)),x),c_Orderings_Obot__class_Obot(u))),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.62 92627[0:SpR:5674.2,24257.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),tc_fun(v,tc_bool)),w),x)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.62 92626[0:SpR:5789.2,24257.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),tc_fun(v,tc_bool)),w),x)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.62 92625[0:SpR:5279.1,24257.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),tc_fun(w,tc_bool)),x),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u))),v))*.
% 299.97/300.62 92624[0:SpR:5148.1,24257.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),tc_fun(w,tc_bool)),x),c_SetInterval_Oord__class_OatLeastLessThan(y,y,u))),v))*.
% 299.97/300.62 92623[0:SpR:280.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),tc_fun(w,tc_bool)),x),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))*.
% 299.97/300.62 92607[0:SpR:5276.1,24257.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),tc_fun(w,tc_bool)),x),y)),y))*.
% 299.97/300.62 92606[0:SpR:5145.1,24257.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),tc_fun(w,tc_bool)),x),y)),y))*.
% 299.97/300.62 92596[0:SpR:5441.2,24257.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),tc_fun(v,tc_bool)),w),x)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.62 92595[0:SpR:5861.2,24257.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),tc_fun(v,tc_bool)),w),x)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.62 92593[0:SpR:5371.2,24257.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_fun(w,tc_bool)),x),c_Orderings_Otop__class_Otop(u))),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.62 92561[0:SpR:1597.1,24257.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),tc_fun(w,tc_bool)),x),y)),hAPP(hAPP(c_fequal(u),y),v)))*.
% 299.97/300.62 92560[0:SpR:2578.1,24257.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),tc_fun(w,tc_bool)),x),y)),hAPP(hAPP(c_fequal(u),v),y)))*.
% 299.97/300.62 92559[0:SpR:2594.1,24257.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),tc_fun(w,tc_bool)),x),y)),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(y,y,u),v)))*.
% 299.97/300.62 92556[0:SpR:2578.1,24257.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(u),v),tc_fun(w,tc_bool)),x),y)),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),y)))*.
% 299.97/300.62 92970[0:SSi:92945.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(u,v)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(w,tc_bool)),x),v)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(w,tc_bool)),x),v))**.
% 299.97/300.62 93017[0:SpR:54506.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u)),x,y),hAPP(c_Set_Oinsert(u,x),z)),y))*.
% 299.97/300.62 93374[0:SpL:93108.0,352.0] || hBOOL(u) hBOOL(c_in(hAPP(c_Set_Oinsert(v,w),u),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),y,tc_fun(z,tc_bool)),u))*.
% 299.97/300.62 93262[0:SpR:93108.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),w,w,x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)))**.
% 299.97/300.62 93457[0:SpR:15551.0,89278.2] || hBOOL(c_in(c_False,hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),tc_bool))* hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)))) -> hBOOL(u).
% 299.97/300.62 93550[0:SpR:55320.0,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w)),x,y),hAPP(c_Set_Oinsert(u,x),z)),y))*.
% 299.97/300.62 94838[0:Rew:341.0,94803.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),hAPP(c_Set_Oinsert(x,u),v))),hAPP(c_Set_Oinsert(w,u),hAPP(c_Set_Oinsert(x,u),v)))**.
% 299.97/300.62 94788[0:Res:17248.0,259.0] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(hAPP(x,u),hAPP(c_Set_Oinsert(y,z),hAPP(c_Set_Oinsert(x1,z),hAPP(c_Set_Oimage(x,w,z),v))),z))*.
% 299.97/300.62 94763[0:SpR:770.0,17248.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),hAPP(c_fequal(u),w))),hAPP(c_Set_Oinsert(x,u),hAPP(c_Set_Oinsert(w,u),v))))*.
% 299.97/300.62 95060[0:Res:10597.1,767.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oinsert(v,tc_Hoare__Mirabelle_Otriple(w)),x),w)* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),y),u),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(w)),v),w)*.
% 299.97/300.62 95295[0:Res:10598.1,767.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oinsert(v,tc_Hoare__Mirabelle_Otriple(w)),x),w)* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),u),y),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(w)),v),w)*.
% 299.97/300.62 95873[0:SpR:13635.1,22324.0] || -> hBOOL(c_in(u,v,w)) hBOOL(c_in(v,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x,y),hAPP(c_Set_Oinsert(hAPP(c_fequal(w),u),x),z)),y))*.
% 299.97/300.62 96093[0:Res:87828.1,364.1] class_Complete__Lattice_Ocomplete__lattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),tc_fun(u,v)),w)),hAPP(x,w)))*.
% 299.97/300.62 96083[0:Res:87828.1,77.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u)),v))* equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u),v).
% 299.97/300.62 96082[0:Res:87828.1,69.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u)),v))* equal(v,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u)).
% 299.97/300.62 96079[0:Res:87828.1,58.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u)),w))*.
% 299.97/300.62 96077[0:Res:87828.1,52.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))*.
% 299.97/300.62 96076[0:Res:87828.1,484.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))*.
% 299.97/300.62 96188[0:Res:87846.1,364.1] class_Complete__Lattice_Ocomplete__lattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),tc_fun(u,v)),x)),hAPP(c_False,x)))*.
% 299.97/300.62 96178[0:Res:87846.1,77.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),c_False))* equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),c_False).
% 299.97/300.62 96177[0:Res:87846.1,69.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),c_False))* equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),c_False).
% 299.97/300.62 96174[0:Res:87846.1,58.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_False),v)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u)),v))*.
% 299.97/300.62 96173[0:Res:87846.1,485.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),v)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u)),v))*.
% 299.97/300.62 96172[0:Res:87846.1,52.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_False)).
% 299.97/300.62 96171[0:Res:87846.1,484.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)).
% 299.97/300.62 96211[0:SSi:96165.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),tc_fun(u,tc_bool))),c_False))* equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),tc_fun(u,tc_bool)),c_False).
% 299.97/300.62 96212[0:SSi:96163.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_False),v)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),tc_fun(u,tc_bool))),v))*.
% 299.97/300.63 96213[0:SSi:96162.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_False),v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),tc_fun(u,tc_bool))),v))*.
% 299.97/300.63 96893[0:Res:87827.1,364.1] class_Complete__Lattice_Ocomplete__lattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),tc_fun(u,v)),x)),hAPP(w,x)))*.
% 299.97/300.63 96883[0:Res:87827.1,77.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),v))* equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),v).
% 299.97/300.63 96882[0:Res:87827.1,69.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),v))* equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),v).
% 299.97/300.63 96879[0:Res:87827.1,58.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),w))*.
% 299.97/300.63 96878[0:Res:87827.1,485.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),w))*.
% 299.97/300.63 96877[0:Res:87827.1,52.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)).
% 299.97/300.63 96876[0:Res:87827.1,484.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)).
% 299.97/300.63 96921[0:SSi:96870.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),tc_fun(u,tc_bool))),v))* equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),tc_fun(u,tc_bool)),v).
% 299.97/300.63 96922[0:SSi:96868.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),tc_fun(u,tc_bool))),w))*.
% 299.97/300.63 96923[0:SSi:96867.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),tc_fun(u,tc_bool))),w))*.
% 299.97/300.63 97054[0:Res:87839.1,364.1] class_Complete__Lattice_Ocomplete__lattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),tc_fun(u,v)),x)),hAPP(w,x)))*.
% 299.97/300.63 97044[0:Res:87839.1,77.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),v))* equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),v).
% 299.97/300.63 97043[0:Res:87839.1,69.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),v))* equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),v).
% 299.97/300.63 97040[0:Res:87839.1,58.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),w))*.
% 299.97/300.63 97039[0:Res:87839.1,485.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),w))*.
% 299.97/300.63 97038[0:Res:87839.1,52.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)).
% 299.97/300.63 97037[0:Res:87839.1,484.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)).
% 299.97/300.63 97081[0:SSi:97031.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),tc_fun(u,tc_bool))),v))* equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),tc_fun(u,tc_bool)),v).
% 299.97/300.63 97082[0:SSi:97029.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),tc_fun(u,tc_bool))),w))*.
% 299.97/300.63 97083[0:SSi:97028.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),tc_fun(u,tc_bool))),w))*.
% 299.97/300.63 97109[0:SpL:613.0,11219.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_Set_Oinsert(u,v),w),hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(x,v),w)),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))** -> .
% 299.97/300.63 97580[0:SpR:61332.1,24259.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OInf__class_OInf(tc_bool)),w),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))))*.
% 299.97/300.63 97538[0:SpR:13719.1,24259.0] || -> equal(u,c_False) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool))),x),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))))*.
% 299.97/300.63 97537[2:SpR:50408.1,24259.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool))),x),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))))*.
% 299.97/300.63 97536[0:SpR:9857.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_fun(tc_bool,tc_bool))),w),x)))*.
% 299.97/300.63 97535[0:SpR:8976.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool))),w),x)))*.
% 299.97/300.63 97534[0:SpR:9624.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_fun(tc_bool,tc_bool))),w),x)))*.
% 299.97/300.63 97533[0:SpR:8803.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool))),w),x)))*.
% 299.97/300.63 97519[0:SpR:5292.1,24259.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool))),x),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u))))*.
% 299.97/300.63 97518[0:SpR:5160.1,24259.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool))),x),c_SetInterval_Oord__class_OatLeastLessThan(y,y,u))))*.
% 299.97/300.63 97509[0:SpR:68995.1,24259.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))))*.
% 299.97/300.63 97504[0:SpR:68028.1,24259.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),hAPP(c_fequal(tc_bool),u))))*.
% 299.97/300.63 97503[0:SpR:20255.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w)))))*.
% 299.97/300.63 97502[0:SpR:20259.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)))))*.
% 299.97/300.63 97501[0:SpR:20258.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)))))*.
% 299.97/300.63 97500[0:SpR:20257.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)))))*.
% 299.97/300.63 97499[0:SpR:20256.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)))))*.
% 299.97/300.63 97498[0:SpR:20170.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_lessequals(tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w)))))*.
% 299.97/300.63 97497[0:SpR:20204.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)))))*.
% 299.97/300.63 97496[0:SpR:20203.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)))))*.
% 299.97/300.63 97495[0:SpR:20202.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)))))*.
% 299.97/300.63 97494[0:SpR:20201.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)))))*.
% 299.97/300.63 97489[0:SpR:20260.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))))))*.
% 299.97/300.63 97465[0:SpR:20230.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_Set_Oinsert(w,x),hAPP(c_fequal(x),c_Orderings_Otop__class_Otop(tc_bool))))))*.
% 299.97/300.63 97462[0:SpR:20361.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_fequal(x),c_Orderings_Otop__class_Otop(tc_bool))))))*.
% 299.97/300.63 97448[0:SpR:1010.2,24259.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_Complete__Lattice_OSup__class_OSup(u)),x),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))))*.
% 299.97/300.63 97447[0:SpR:1009.2,24259.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_Complete__Lattice_OInf__class_OInf(u)),x),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))))*.
% 299.97/300.63 97445[0:SpR:251.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(u,v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),hAPP(c_COMBC(u,y,z,x1),w)),x2),v)))*.
% 299.97/300.63 97436[0:SpR:58783.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),w),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),x)))))*.
% 299.97/300.63 97391[0:SpR:611.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Set_Oinsert(u,v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_Set_Oinsert(u,v)),y),hAPP(c_Set_Oinsert(u,v),w))))*.
% 299.97/300.63 97296[0:SpR:5430.2,24259.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),x),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.63 97285[0:SpR:707.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool))),x),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))))*.
% 299.97/300.63 97281[0:SpR:5685.2,24259.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),x),c_Orderings_Otop__class_Otop(u))))*.
% 299.97/300.63 97278[0:SpR:65.1,24259.0] || -> equal(u,v) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(w,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_Fun_Ofun__upd(w,v,y,z,x1)),x2),u)))*.
% 299.97/300.63 97255[0:SpR:708.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool))),w),x)))*.
% 299.97/300.63 97246[0:SpR:5538.2,24259.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),x),v)))*.
% 299.97/300.63 97245[0:SpR:5860.2,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),x),v)))*.
% 299.97/300.63 97244[0:SpR:14438.2,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),x),v)))*.
% 299.97/300.63 97242[0:SpR:5360.2,24259.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),x),v)))*.
% 299.97/300.63 97241[0:SpR:5792.2,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),x),v)))*.
% 299.97/300.63 97240[0:SpR:12371.2,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),x),v)))*.
% 299.97/300.63 97182[0:SpR:411.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Set_Oinsert(u,v),w),x)),hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),y)),x)))*.
% 299.97/300.63 97657[0:SSi:97614.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x)),y))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(v,x)),y)).
% 299.97/300.63 97658[0:SSi:97613.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x)),y))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(v,x)),y)).
% 299.97/300.63 97659[0:SSi:97612.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(v,w))) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),v),y),w)))*.
% 299.97/300.63 97660[0:SSi:97611.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(v,w))) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),v),y),w)))*.
% 299.97/300.63 98090[0:SpR:61332.1,24260.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))))*.
% 299.97/300.63 98048[0:SpR:13719.1,24260.0] || -> equal(u,c_False) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool))),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))))*.
% 299.97/300.63 98047[2:SpR:50408.1,24260.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool))),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))))*.
% 299.97/300.63 98046[0:SpR:9857.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_fun(tc_bool,tc_bool))),x)))*.
% 299.97/300.63 98045[0:SpR:8976.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool))),x)))*.
% 299.97/300.63 98044[0:SpR:9624.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_fun(tc_bool,tc_bool))),x)))*.
% 299.97/300.63 98043[0:SpR:8803.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool))),x)))*.
% 299.97/300.63 98029[0:SpR:5292.1,24260.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool))),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u))))*.
% 299.97/300.63 98028[0:SpR:5160.1,24260.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool))),c_SetInterval_Oord__class_OatLeastLessThan(y,y,u))))*.
% 299.97/300.63 98019[0:SpR:68995.1,24260.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))))*.
% 299.97/300.63 98014[0:SpR:68028.1,24260.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_fequal(tc_bool),u))))*.
% 299.97/300.63 98013[0:SpR:20255.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w)))))*.
% 299.97/300.63 98012[0:SpR:20259.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)))))*.
% 299.97/300.63 98011[0:SpR:20258.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)))))*.
% 299.97/300.63 98010[0:SpR:20257.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)))))*.
% 299.97/300.63 98009[0:SpR:20256.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)))))*.
% 299.97/300.63 98008[0:SpR:20170.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w)))))*.
% 299.97/300.63 98007[0:SpR:20204.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)))))*.
% 299.97/300.63 98006[0:SpR:20203.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)))))*.
% 299.97/300.63 98005[0:SpR:20202.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)))))*.
% 299.97/300.63 98004[0:SpR:20201.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)))))*.
% 299.97/300.63 97999[0:SpR:20260.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))))))*.
% 299.97/300.63 97975[0:SpR:20230.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Set_Oinsert(w,x),hAPP(c_fequal(x),c_Orderings_Otop__class_Otop(tc_bool))))))*.
% 299.97/300.63 97972[0:SpR:20361.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_fequal(x),c_Orderings_Otop__class_Otop(tc_bool))))))*.
% 299.97/300.63 97958[0:SpR:1010.2,24260.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),c_Complete__Lattice_OSup__class_OSup(u)),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))))*.
% 299.97/300.63 97957[0:SpR:1009.2,24260.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),c_Complete__Lattice_OInf__class_OInf(u)),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))))*.
% 299.97/300.63 97955[0:SpR:251.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(u,v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),hAPP(c_COMBC(u,z,x1,x2),w)),v)))*.
% 299.97/300.63 97946[0:SpR:58783.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),x)))))*.
% 299.97/300.63 97901[0:SpR:611.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Set_Oinsert(u,v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),c_Set_Oinsert(u,v)),hAPP(c_Set_Oinsert(u,v),w))))*.
% 299.97/300.63 97806[0:SpR:5430.2,24260.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.63 97795[0:SpR:707.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_HOL_Ominus__class_Ominus(x,tc_fun(u,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))))*.
% 299.97/300.63 97791[0:SpR:5685.2,24260.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),c_Orderings_Otop__class_Otop(u))))*.
% 299.97/300.63 97788[0:SpR:65.1,24260.0] || -> equal(u,v) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(w,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),c_Fun_Ofun__upd(w,v,z,x1,x2)),u)))*.
% 299.97/300.63 97765[0:SpR:708.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool))),x)))*.
% 299.97/300.63 97756[0:SpR:5538.2,24260.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),v)))*.
% 299.97/300.63 97755[0:SpR:5860.2,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),v)))*.
% 299.97/300.63 97754[0:SpR:14438.2,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),v)))*.
% 299.97/300.63 97752[0:SpR:5360.2,24260.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),v)))*.
% 299.97/300.63 97751[0:SpR:5792.2,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),v)))*.
% 299.97/300.63 97750[0:SpR:12371.2,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),v)))*.
% 299.97/300.63 97725[0:SpR:410.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Set_Oinsert(u,v),w),x)),hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),y),w)),x)))*.
% 299.97/300.63 98166[0:SSi:98124.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x)),y))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(w,x)),y)).
% 299.97/300.63 98167[0:SSi:98123.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x)),y))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(w,x)),y)).
% 299.97/300.63 98168[0:SSi:98122.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(v,w))) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),v),w)))*.
% 299.97/300.63 98169[0:SSi:98121.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(v,w))) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),v),w)))*.
% 299.97/300.63 98297[0:Res:5045.2,477.1] class_Orderings_Olinorder(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x)).
% 299.97/300.63 98296[0:Res:5045.2,476.1] class_Orderings_Olinorder(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),x)).
% 299.97/300.63 98254[0:Res:5045.2,170.1] class_Orderings_Olinorder(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x)).
% 299.97/300.63 98253[0:Res:5045.2,169.1] class_Orderings_Olinorder(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)).
% 299.97/300.63 98480[0:SpR:12203.2,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,w),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),u),x),v),y)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.63 98473[0:SpR:12203.2,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OSup__class_OSup(u)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),u),x))))*.
% 299.97/300.63 98569[2:SpL:803.2,49213.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),u),v_x)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,v_x,t_a),v_x))),c_False)** -> .
% 299.97/300.63 98568[2:SpL:802.2,49213.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),v_x),u)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,u,t_a),v_x))),c_False)** -> .
% 299.97/300.63 98589[0:SpR:64085.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.63 98699[0:Res:73721.0,352.0] || hBOOL(c_in(c_False,u,v)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_HOL_Oord__class_Oless(tc_bool),v,tc_fun(w,tc_bool)),hAPP(hAPP(c_Set_Oinsert(x,t_a),hAPP(c_fequal(t_a),v_x)),v_x)))*.
% 299.97/300.63 98724[0:SpL:803.2,73758.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),u),v_x)) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,v_x,t_a),v_x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.63 98723[0:SpL:802.2,73758.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),v_x),u)) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,u,t_a),v_x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.63 98748[0:SpL:803.2,73760.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),u),v_x)) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,v_x,t_a),v_x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.63 98747[0:SpL:802.2,73760.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),v_x),u)) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v_x,u,t_a),v_x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 299.97/300.63 98779[0:SpR:12493.2,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,w),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),u),x),v),y)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.63 98772[0:SpR:12493.2,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_Complete__Lattice_OInf__class_OInf(u)),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),u),x))))*.
% 299.97/300.63 98882[0:SpR:92404.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(v_x,tc_bool),tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False)),v_x))),c_False))*.
% 299.97/300.63 98866[0:SpR:92404.0,4377.1] || hBOOL(c_in(hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False)),v_x),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v_x,tc_bool),w,x),v),c_False))*.
% 299.97/300.63 98939[0:SpR:92438.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(v_x,tc_bool),tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v_x)),v_x))),c_False))*.
% 299.97/300.63 98923[0:SpR:92438.0,4377.1] || hBOOL(c_in(hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v_x)),v_x),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v_x,tc_bool),w,x),v),c_False))*.
% 299.97/300.63 98996[0:SpR:92468.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(v_x,tc_bool),tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x)),v_x))),c_False))*.
% 299.97/300.63 98980[0:SpR:92468.0,4377.1] || hBOOL(c_in(hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x)),v_x),v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v_x,tc_bool),w,x),v),c_False))*.
% 299.97/300.63 99663[0:Obv:99621.1] class_Orderings_Obot(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> equal(w,c_Orderings_Obot__class_Obot(u)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))*.
% 299.97/300.63 99789[0:Obv:99760.1] class_Orderings_Otop(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> equal(c_Orderings_Otop__class_Otop(u),w) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.63 99807[0:SpL:818.1,99543.0] || hBOOL(c_in(u,v,w)) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,v_x,w,t_a),w,t_a),v),v_x)))* -> .
% 299.97/300.63 100304[0:Res:87811.2,170.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Lattices_Olower__semilattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(v),w),x)),v)),x))*.
% 299.97/300.63 100303[0:Res:87811.2,169.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Lattices_Olower__semilattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(v),w),x)),v)),w))*.
% 299.97/300.63 100588[0:Res:87814.2,170.1] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Lattices_Olower__semilattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(v),w),x)),v)),x))*.
% 299.97/300.63 100587[0:Res:87814.2,169.1] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Lattices_Olower__semilattice(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(v),w),x)),v)),w))*.
% 299.97/300.63 101292[0:Res:26171.0,352.0] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w,tc_fun(x,tc_bool)),hAPP(hAPP(c_Set_Oinsert(y,t_a),hAPP(c_fequal(t_a),v_x)),v_x)))*.
% 299.97/300.63 101310[0:Res:26434.0,352.0] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),u,v))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Set_Oinsert(w,x),v,tc_fun(y,tc_bool)),c_False))*.
% 299.97/300.63 101318[0:Rew:80024.1,101306.1] || equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x))),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(u,v),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.63 101486[0:SpL:411.0,5905.0] || equal(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x)),x)** c_Finite__Set_Ofinite(x,v) -> c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),w),v).
% 299.97/300.63 101586[0:SpL:405.0,101545.0] || equal(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),y)),hAPP(c_fequal(w),hAPP(u,x)))** -> c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(u,v,w),y),w)*.
% 299.97/300.63 101646[0:Res:26446.0,352.0] || hBOOL(c_in(hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_fequal(t_a),v_x)),v_x),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.63 102159[0:SpR:818.1,101838.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,hAPP(hAPP(c_fequal(t_a),v_x),v_x),w,y),w,y),v)))*.
% 299.97/300.63 102406[0:SpL:251.0,13885.0] || c_Finite__Set_Ofinite(hAPP(hAPP(u,v),w),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),hAPP(c_COMBC(u,z,x1,x2),w),y,tc_fun(x,tc_bool)),x)*.
% 299.97/300.63 102358[0:SpL:613.0,13885.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x)),y)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool)),c_Set_Oinsert(w,v),z,tc_fun(y,tc_bool)),y)*.
% 299.97/300.63 102337[0:SpL:34557.1,13885.0] || c_Finite__Set_Ofinite(u,v)* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u))* c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.63 102324[0:SpL:34559.1,13885.0] || c_Finite__Set_Ofinite(u,v)* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),w)) c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),x,tc_fun(v,tc_bool)),v)*.
% 299.97/300.63 102297[0:SpL:5527.2,13885.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(u),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.63 102260[0:SpL:5371.2,13885.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(u),v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w,tc_fun(v,tc_bool)),v)*.
% 299.97/300.63 102239[0:SpL:65.1,13885.0] || c_Finite__Set_Ofinite(hAPP(u,v),w)* -> equal(v,x)* c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),c_Fun_Ofun__upd(u,x,z,x1,x2),y,tc_fun(w,tc_bool)),w)*.
% 299.97/300.63 102207[0:SpL:5538.2,13885.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || c_Finite__Set_Ofinite(v,w)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.63 102206[0:SpL:5860.2,13885.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || c_Finite__Set_Ofinite(v,w)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.63 102205[0:SpL:14438.2,13885.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || c_Finite__Set_Ofinite(v,w)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.63 102203[0:SpL:5360.2,13885.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || c_Finite__Set_Ofinite(v,w)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.63 102202[0:SpL:5792.2,13885.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || c_Finite__Set_Ofinite(v,w)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.63 102201[0:SpL:12371.2,13885.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || c_Finite__Set_Ofinite(v,w)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.63 102715[0:SpR:54506.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),v_x)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.63 102702[0:SpR:55320.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v_x),v)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v_x))).
% 299.97/300.63 102686[0:SpR:341.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),t_a)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v_x),v))))*.
% 299.97/300.63 102666[0:SpR:757.0,26903.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(c_Set_Oinsert(v,u),v_x)))).
% 299.97/300.63 102650[0:SpR:3059.1,26903.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v_x) hBOOL(c_in(v_x,c_Set_Oinsert(v,u),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))))*.
% 299.97/300.63 102863[0:Res:81832.0,24826.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(u,tc_bool)),c_False),tc_bool),hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(u,tc_bool)),c_False)))*.
% 299.97/300.63 102822[0:Res:171.2,24826.1] class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x),w,u),w))*.
% 299.97/300.63 102821[0:Res:172.2,24826.1] class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v),w,u),w))*.
% 299.97/300.63 102761[0:Res:533.1,24826.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(u),v)),u),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(u),v))))*.
% 299.97/300.63 103012[0:Res:87814.2,25011.1] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Olinorder(v) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),w,v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)))*.
% 299.97/300.63 103011[0:Res:87811.2,25011.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Olinorder(v) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),w,v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)))*.
% 299.97/300.63 102998[0:Res:15143.2,25011.1] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u),w,u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u)))*.
% 299.97/300.63 102997[0:Res:15144.2,25011.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u),w,u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u)))*.
% 299.97/300.63 102985[0:Res:478.2,25011.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w),u),v))*.
% 299.97/300.63 102984[0:Res:479.2,25011.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x),u),v))*.
% 299.97/300.63 102931[0:Res:320.0,25011.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w),v,tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)))*.
% 299.97/300.63 103121[0:SpL:410.0,26331.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),y))),v)* -> c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(w,v),y),v).
% 299.97/300.63 103301[0:SpL:411.0,26728.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),y))),v)* -> c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(w,v),x),v).
% 299.97/300.63 103419[0:SpR:102900.1,24260.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),u))))*.
% 299.97/300.63 103418[0:SpR:102900.1,24259.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),w),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),u))))*.
% 299.97/300.63 103408[0:SpR:102900.1,361.1] class_Orderings_Olinorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),u),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.63 103524[0:Res:87848.1,451.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),u)),hAPP(c_Set_Oinsert(v,w),x)),hAPP(c_Set_Oinsert(v,w),x))**.
% 299.97/300.63 103523[0:Res:87848.1,449.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(c_Set_Oinsert(v,w),x)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),u)),hAPP(c_Set_Oinsert(v,w),x))**.
% 299.97/300.63 103522[0:Res:87848.1,166.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(c_Set_Oinsert(v,w),x)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),u)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),u))**.
% 299.97/300.63 103521[0:Res:87848.1,164.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),u)),hAPP(c_Set_Oinsert(v,w),x)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),u))**.
% 299.97/300.63 103541[0:SSi:103529.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,u),tc_fun(u,tc_bool))),w))* hBOOL(c_in(v,c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,u),tc_fun(u,tc_bool)),u))*.
% 299.97/300.63 103891[0:Res:35669.1,352.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),c_False))* hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Oord__class_Oless(tc_bool),w,tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.63 104764[0:SpR:131.1,1397.0] || -> equal(u,v) hBOOL(c_in(w,hAPP(c_Set_Oimage(c_Fun_Ofun__upd(c_Fun_Ofun__upd(x,v,w,y,z),u,x1,y,z),x2,x3),c_Orderings_Otop__class_Otop(tc_fun(x2,tc_bool))),x3))*.
% 299.97/300.63 105257[0:SpR:10929.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(c_COMBK(u,v,w),w,v),x,y),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(z,w),x1),x),x2)),hAPP(c_fequal(v),u)))*.
% 299.97/300.63 105250[0:SpR:10929.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(u),v)),hAPP(hAPP(c_Set_Oinsert(w,x),c_Set_Oimage(c_COMBK(v,u,y),y,u)),hAPP(c_Set_Oinsert(z,y),x1))))*.
% 299.97/300.63 105910[0:SSi:105890.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))**.
% 299.97/300.63 105911[0:SSi:105889.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))**.
% 299.97/300.63 106107[0:SpL:54506.0,73923.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),v_x)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.63 106094[0:SpL:55320.0,73923.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v_x),v)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v_x),c_False)) -> .
% 299.97/300.63 106078[0:SpL:341.0,73923.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),t_a)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v_x),v)),c_False))* -> .
% 299.97/300.63 106058[0:SpL:757.0,73923.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Set_Oinsert(v,u),v_x)),c_False)) -> .
% 299.97/300.63 106042[0:SpL:3059.1,73923.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v_x) hBOOL(c_in(v_x,c_Set_Oinsert(v,u),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_False))* -> .
% 299.97/300.63 106293[0:SpR:106169.0,771.1] || -> equal(u,c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool))) equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_fun(v,tc_bool)),tc_fun(v,tc_bool),tc_bool),u),hAPP(c_fequal(tc_bool),c_False))**.
% 299.97/300.63 106276[0:SpR:106169.0,1057.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oinsert(u,tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_fun(v,tc_bool)),hAPP(c_fequal(tc_fun(v,tc_bool)),u),x,y),c_Set_Oinsert(u,tc_fun(v,tc_bool)))**.
% 299.97/300.63 106519[0:SpL:106281.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_fun(z,tc_bool)),x,tc_fun(x1,tc_bool)),u))*.
% 299.97/300.63 106469[0:SpR:106281.0,265.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_fun(z,tc_bool)),w,tc_fun(x,tc_bool))))*.
% 299.97/300.63 106468[0:SpR:106281.0,435.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_fun(z,tc_bool)),w,tc_fun(x,tc_bool))),c_False))*.
% 299.97/300.63 106547[0:Obv:106546.2] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,v,w))* c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_fun(z,tc_bool)),v,w,x1)* -> equal(u,x)*.
% 299.97/300.63 106590[0:Res:8.1,5096.0] class_Ring__and__Field_Oordered__idom(tc_fun(u,tc_bool)) || hBOOL(hAPP(v,w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),x),v))* equal(v,x) hBOOL(hAPP(x,w))*.
% 299.97/300.63 106605[0:SSi:106594.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),x),y))* -> hBOOL(hAPP(w,y))*.
% 299.97/300.63 106606[0:SSi:106593.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x),v),y))* -> hBOOL(hAPP(w,y))*.
% 299.97/300.63 106607[0:SSi:106581.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* hBOOL(hAPP(v,x))* -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),y),x))*.
% 299.97/300.63 106608[0:SSi:106580.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* hBOOL(hAPP(v,x))* -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),w),x))*.
% 299.97/300.63 106737[0:SpR:5228.0,4013.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) hBOOL(hAPP(hAPP(c_Set_Oinsert(x,y),hAPP(c_lessequals(tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))),c_False))*.
% 299.97/300.63 106728[0:SpR:5228.0,699.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(hAPP(c_Set_Oinsert(x,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool))),hAPP(c_fequal(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x))**.
% 299.97/300.63 106979[0:SpR:106423.0,771.1] || -> equal(u,c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool))) equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(v,tc_bool)),tc_fun(v,tc_bool),tc_bool),u),hAPP(c_fequal(tc_bool),c_False))**.
% 299.97/300.63 106959[0:SpR:106423.0,1057.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oinsert(u,tc_fun(v,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_fun(v,tc_bool)),hAPP(c_fequal(tc_fun(v,tc_bool)),u),x,y),c_Set_Oinsert(u,tc_fun(v,tc_bool)))**.
% 299.97/300.63 107084[0:Res:5774.1,10584.0] || hBOOL(c_in(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),v).
% 299.97/300.63 107165[0:SpL:106967.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_fun(z,tc_bool)),x,tc_fun(x1,tc_bool)),u))*.
% 299.97/300.63 107115[0:SpR:106967.0,265.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_fun(z,tc_bool)),w,tc_fun(x,tc_bool))))*.
% 299.97/300.63 107114[0:SpR:106967.0,435.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_fun(z,tc_bool)),w,tc_fun(x,tc_bool))),c_False))*.
% 299.97/300.63 107191[0:Obv:107190.2] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,v,w))* c_Fun_Oinj__on(c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_fun(z,tc_bool)),v,w,x1)* -> equal(u,x)*.
% 299.97/300.63 107339[0:Res:222.3,15236.2] class_Orderings_Olinorder(u) class_Orderings_Obot(u) class_Orderings_Oorder(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,u))* c_Finite__Set_Ofinite(v,u) -> equal(c_Finite__Set_Olinorder__class_OMin(v,u),c_Orderings_Obot__class_Obot(u)).
% 299.97/300.63 107613[0:Res:221.3,15248.2] class_Orderings_Olinorder(u) class_Orderings_Otop(u) class_Orderings_Oorder(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,u))* c_Finite__Set_Ofinite(v,u) -> equal(c_Finite__Set_Olinorder__class_OMax(v,u),c_Orderings_Otop__class_Otop(u)).
% 299.97/300.63 109842[0:SpL:106741.1,13885.0] || c_Finite__Set_Ofinite(c_False,u) -> c_Hoare__Mirabelle_Ohoare__derivs(v,w,x) c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(w,v,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)),y,tc_fun(u,tc_bool)),u)*.
% 299.97/300.63 109783[0:SpR:106741.1,361.1] || hBOOL(c_in(u,v,w))* -> c_Hoare__Mirabelle_Ohoare__derivs(x,y,z) hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(y,x,tc_fun(tc_Hoare__Mirabelle_Otriple(z),tc_bool)),w,x1),v),x1))*.
% 299.97/300.63 110159[0:SpL:79862.1,15283.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),v))* -> equal(v,c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))).
% 299.97/300.63 110903[0:SpR:405.0,42995.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(u),hAPP(v,w)),tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(v,x,u),hAPP(c_Set_Oinsert(w,x),y))),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.63 110898[0:SpR:410.0,42995.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(u),v),tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),hAPP(c_Set_Oinsert(v,u),x))),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.63 111222[0:SSi:111216.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_fequal(u),w)))* hBOOL(c_in(w,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),x),u))* -> .
% 299.97/300.63 111223[0:SSi:111215.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_fequal(u),w)))* hBOOL(c_in(w,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x),v),u))* -> .
% 299.97/300.63 112335[0:SpR:79862.1,1393.1] class_Lattices_Oupper__semilattice(u) || equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_False) -> hBOOL(c_in(w,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v,x),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),x))*.
% 299.97/300.63 112356[0:SpR:79862.1,1394.1] class_Lattices_Olower__semilattice(u) || equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_False) -> hBOOL(c_in(w,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v,x),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),x))*.
% 299.97/300.63 112481[0:SpL:54506.0,99791.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),v_x)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.63 112468[0:SpL:55320.0,99791.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v_x),v)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),v_x)) -> .
% 299.97/300.63 112452[0:SpL:341.0,99791.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),t_a)) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v_x),v)))* -> .
% 299.97/300.63 112432[0:SpL:757.0,99791.1] || hBOOL(c_in(v_x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(c_Set_Oinsert(v,u),v_x))) -> .
% 299.97/300.63 112415[0:SpL:3059.1,99791.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v_x) hBOOL(c_in(v_x,c_Set_Oinsert(v,u),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))* -> .
% 299.97/300.63 112519[0:SpR:79862.1,1404.1] class_Lattices_Obounded__lattice(u) || equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_False) -> hBOOL(c_in(w,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v,x),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),x))*.
% 299.97/300.63 112554[0:SpR:79862.1,1412.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(c_in(c_COMBK(c_False,tc_bool,v),hAPP(c_Set_Oimage(c_Set_Oimage(w,x,v),u,y),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),y))*.
% 299.97/300.63 112613[0:SpR:79862.1,1415.1] class_Lattices_Obounded__lattice(u) || equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_False) -> hBOOL(c_in(w,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v,x),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),x))*.
% 299.97/300.63 112719[0:SpR:79862.1,1784.1] class_Lattices_Olattice(u) || equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_False) -> hBOOL(c_in(w,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v,x),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),x))*.
% 299.97/300.63 112871[0:SpR:79862.1,1887.1] class_Lattices_Olattice(u) || equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_False) -> hBOOL(c_in(w,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v,x),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),x))*.
% 299.97/300.63 113320[0:Obv:113055.1] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)).
% 299.97/300.63 113410[0:SpR:8806.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),tc_fun(v,tc_bool)),w),x)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)))*.
% 299.97/300.63 113393[0:SpR:8806.0,4377.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool)),w,y),v),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool)))*.
% 299.97/300.63 114021[0:Obv:113753.1] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x)).
% 299.97/300.63 114482[0:Obv:114260.1] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x)).
% 299.97/300.63 114945[0:Obv:114721.1] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),x)).
% 299.97/300.63 115315[0:SpR:8807.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),u),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool))),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool)))*.
% 299.97/300.63 115299[0:SpR:8807.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),x),w,y),v),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)))*.
% 299.97/300.63 115499[0:Res:8823.0,352.0] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(x,y),w,tc_fun(z,tc_bool)),c_False))*.
% 299.97/300.63 115511[0:Rew:80024.1,115495.1] || equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool))),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(u,v),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.63 115545[0:SpR:8979.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),tc_fun(v,tc_bool)),w),x)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)))*.
% 299.97/300.63 115528[0:SpR:8979.0,4377.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool)),w,y),v),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool)))*.
% 299.97/300.63 115773[0:SpR:8980.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),u),tc_fun(v,tc_bool)),w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool))),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool)))*.
% 299.97/300.63 115757[0:SpR:8980.0,4377.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),x),w,y),v),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)))*.
% 299.97/300.63 1655[0:SpR:279.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v,c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))**.
% 299.97/300.63 1695[0:SpR:1091.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v,c_COMBK(c_False,tc_bool,u),w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)))**.
% 299.97/300.63 4016[0:Res:1506.1,1141.0] || hBOOL(c_in(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,x),y))),y,x))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,x),y)),c_False)).
% 299.97/300.63 3986[0:SpL:18.1,1141.0] class_Lattices_Obounded__lattice(u) || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))))) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),c_False))*.
% 299.97/300.63 3985[0:SpL:366.1,1141.0] class_Lattices_Obounded__lattice(u) || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))))) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),c_False))*.
% 299.97/300.63 3983[0:SpL:3333.0,1141.0] || hBOOL(hAPP(hAPP(c_fequal(u),v),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(v,u),hAPP(c_fequal(u),w)))))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(w,u),hAPP(c_fequal(u),v)),c_False)).
% 299.97/300.63 4232[0:Res:533.1,4131.0] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),w),c_False)) -> hBOOL(c_in(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_Set_Oinsert(u,v),w)),w,v))* equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_Set_Oinsert(u,v),w)),u).
% 299.97/300.63 4374[0:SpR:1523.1,361.1] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,x)) -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),hAPP(c_Set_Oimage(c_Set_Oinsert(v,u),x,y),w),y))*.
% 299.97/300.63 4367[0:SpR:11.1,361.1] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x,y))* -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y,z),x),z))*.
% 299.97/300.63 4366[0:SpR:3.1,361.1] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),x,y))* -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y,z),x),z))*.
% 299.97/300.63 4360[0:SpR:2367.1,361.1] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x,y))* -> hBOOL(c_in(w,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y,z),x),z))*.
% 299.97/300.63 4359[0:SpR:2281.1,361.1] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),x,y))* -> hBOOL(c_in(w,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),y,z),x),z))*.
% 299.97/300.63 4355[0:SpR:1091.0,361.1] || hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_COMBK(c_False,tc_bool,x),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,x)),w,y),v),y))*.
% 299.97/300.63 4354[0:SpR:279.0,361.1] || hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),w,y),v),y))*.
% 299.97/300.63 4353[0:SpR:167.1,361.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),x,z),w),z))*.
% 299.97/300.63 4352[0:SpR:168.1,361.1] class_Lattices_Olattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),x,z),w),z))*.
% 299.97/300.63 4350[0:SpR:1597.1,361.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),y),hAPP(c_Set_Oimage(hAPP(c_fequal(u),y),x,z),w),z))*.
% 299.97/300.63 4348[0:SpR:342.1,361.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),x,z),w),z))*.
% 299.97/300.63 4347[0:SpR:343.1,361.1] class_Lattices_Olattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),x,z),w),z))*.
% 299.97/300.63 4344[0:SpR:1119.0,361.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(c_in(c_COMBK(c_False,tc_bool,u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x),w,y),v),y))*.
% 299.97/300.63 4336[0:SpR:280.0,361.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),w,y),v),y))*.
% 299.97/300.63 4306[0:SpR:1597.1,361.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(hAPP(hAPP(c_fequal(u),v),y),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(y,y,u),x,z),w),z))*.
% 299.97/300.63 4305[0:SpR:2578.1,361.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(hAPP(hAPP(c_fequal(u),y),v),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(y,y,u),x,z),w),z))*.
% 299.97/300.63 4304[0:SpR:2594.1,361.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),y),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(y,y,u),x,z),w),z))*.
% 299.97/300.63 4302[0:SpR:2578.1,361.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(y,y,u),v),hAPP(c_Set_Oimage(hAPP(c_fequal(u),y),x,z),w),z))*.
% 299.97/300.63 4554[0:SpR:2651.0,4377.1] || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),x,z),w),hAPP(c_Set_Oinsert(v,u),y)))*.
% 299.97/300.63 4551[0:SpR:3333.0,4377.1] || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(y,u),x,z),w),hAPP(c_Set_Oinsert(v,u),hAPP(c_fequal(u),y))))*.
% 299.97/300.63 4535[0:SpR:341.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),w,z),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u),y)))*.
% 299.97/300.63 4518[0:SpR:757.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),hAPP(c_fequal(x),y)),w,z),v),hAPP(c_Set_Oinsert(y,x),u)))*.
% 299.97/300.63 4494[0:SpR:3059.1,4377.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))* hBOOL(c_in(u,w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(y,v),x,z),w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))))*.
% 299.97/300.63 4791[0:SpL:341.0,4686.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w)),c_False))*.
% 299.97/300.63 4774[0:SpL:757.0,4686.0] || hBOOL(hAPP(c_Set_Oinsert(u,v),w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_fequal(v),u))),c_False))*.
% 299.97/300.63 5126[0:Res:733.1,4686.0] class_Orderings_Oorder(u) || -> equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u))* hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_HOL_Oord__class_Oless(u),v)),c_False))*.
% 299.97/300.63 5256[0:Res:734.1,4686.0] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),c_COMBK(c_False,tc_bool,u))* hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_HOL_Oord__class_Oless(u),v)),c_False))*.
% 299.97/300.63 5367[0:Res:533.1,451.1] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(u),v))),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(u),v)))**.
% 299.97/300.63 5891[0:Res:450.2,531.0] class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_lessequals(u),v))),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_lessequals(u),v)))** -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)).
% 299.97/300.63 6154[0:SpR:613.0,613.0] || -> equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),hAPP(c_Set_Oinsert(x,v),y))),hAPP(c_Set_Oinsert(w,v),hAPP(c_Set_Oinsert(x,v),hAPP(c_Set_Oinsert(u,v),y))))*.
% 299.97/300.63 6149[0:SpR:613.0,1486.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(u)),hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(u)),y))),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(u)),y),u)*.
% 299.97/300.63 6141[0:SpR:613.0,3396.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(v)),x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),y),hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),x)),v)*.
% 299.97/300.63 6140[0:SpR:613.0,3395.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(v)),x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),x)),y),v)*.
% 299.97/300.63 7032[0:SpR:5371.2,361.1] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w,y),v),y))*.
% 299.97/300.63 7088[0:SpR:5398.0,361.1] || hBOOL(c_in(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),x,y))* -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),y,z),x),z))*.
% 299.97/300.63 7142[0:SpR:5441.2,361.1] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),x,y),w),y))*.
% 299.97/300.63 7214[0:SpR:5527.2,361.1] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w,y),v),y))*.
% 299.97/300.63 7307[0:SpR:5674.2,361.1] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),x,y),w),y))*.
% 299.97/300.63 7376[0:SpR:5789.2,361.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),x,y),w),y))*.
% 299.97/300.63 7548[0:SpR:5861.2,361.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),x,y),w),y))*.
% 299.97/300.63 7693[0:SpR:5145.1,35.0] class_Orderings_Oorder(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),w,w,x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)))**.
% 299.97/300.63 7690[0:SpR:5145.1,361.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,y,u)),x,z),w),z))*.
% 299.97/300.63 7768[0:SpR:5146.2,361.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,x))* -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),x,y),w),y))*.
% 299.97/300.63 7793[0:SpR:5147.2,361.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,x))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),x,y),w),y))*.
% 299.97/300.63 7817[0:SpR:5148.1,361.1] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,x))* -> hBOOL(c_in(y,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),x,z),w),z))*.
% 299.97/300.63 7890[0:SpR:5276.1,35.0] class_Orderings_Oorder(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),w,w,x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)))**.
% 299.97/300.63 7887[0:SpR:5276.1,361.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u)),x,z),w),z))*.
% 299.97/300.63 7967[0:SpR:5277.2,361.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,x))* -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),x,y),w),y))*.
% 299.97/300.63 8050[0:SpR:5278.2,361.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,x))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),x,y),w),y))*.
% 299.97/300.63 8074[0:SpR:5279.1,361.1] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,x))* -> hBOOL(c_in(y,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),x,z),w),z))*.
% 299.97/300.63 8603[0:SpR:5161.1,361.1] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,x))* -> hBOOL(c_in(hAPP(c_fequal(u),y),hAPP(c_Set_Oimage(c_Set_Oinsert(y,u),x,z),w),z))*.
% 299.97/300.63 8677[0:SpR:5293.1,361.1] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,x))* -> hBOOL(c_in(hAPP(c_fequal(u),y),hAPP(c_Set_Oimage(c_Set_Oinsert(y,u),x,z),w),z))*.
% 299.97/300.63 9575[0:SpL:770.0,408.0] || hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),x),w)) -> hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(w,tc_bool)),hAPP(c_fequal(w),v)),w))* equal(u,v).
% 299.97/300.63 9580[0:Rew:770.0,9571.1] || hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_fequal(v),w)),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(w,v),u))))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(w,v),u),c_False)).
% 299.97/300.63 10585[0:Res:533.1,528.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),c_False)) c_Hoare__Mirabelle_Ohoare__derivs(v,w,u) -> c_Hoare__Mirabelle_Ohoare__derivs(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v)),w,u)*.
% 299.97/300.63 10681[0:Res:533.1,527.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),c_False)) c_Hoare__Mirabelle_Ohoare__derivs(w,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v)),u)* -> c_Hoare__Mirabelle_Ohoare__derivs(w,v,u).
% 299.97/300.63 10952[0:Res:474.1,768.0] || hBOOL(c_in(u,v,w))* -> equal(hAPP(c_Set_Oimage(c_COMBK(x,y,w),w,y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),z),v)),hAPP(c_fequal(y),x))**.
% 299.97/300.63 10951[0:Res:475.1,768.0] || hBOOL(c_in(u,v,w))* -> equal(hAPP(c_Set_Oimage(c_COMBK(x,y,w),w,y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),z)),hAPP(c_fequal(y),x))**.
% 299.97/300.63 11408[0:SpR:349.1,35.0] class_Lattices_Oupper__semilattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))**.
% 299.97/300.63 11585[0:SpR:48.1,35.0] class_Lattices_Olower__semilattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))**.
% 299.97/300.63 11772[0:SpR:350.1,35.0] class_Lattices_Olattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))**.
% 299.97/300.63 11994[0:SpR:47.1,35.0] class_Lattices_Olattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))**.
% 299.97/300.63 12228[0:SpR:276.1,2281.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(c_Complete__Lattice_OSup__class_OSup(u),v)),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(w,u),v))),hAPP(c_Complete__Lattice_OSup__class_OSup(u),v))**.
% 299.97/300.63 12198[0:SpR:276.1,35.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(c_Complete__Lattice_OSup__class_OSup(u),w),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),w)),x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))**.
% 299.97/300.63 12313[0:SSi:12261.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Fun_Oinj__on(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,tc_fun(v,tc_bool)),x)),v,y)* -> c_Fun_Oinj__on(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(v,tc_bool)),x),v,y).
% 299.97/300.63 12314[0:SSi:12233.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(v,tc_bool)),w),v)) -> hBOOL(c_in(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(x,tc_fun(v,tc_bool)),w)),v))*.
% 299.97/300.63 12315[0:SSi:12210.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(u,v) c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(v,tc_bool)),w),v) -> c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(u,tc_fun(v,tc_bool)),w)),v)*.
% 299.97/300.63 12316[0:SSi:12256.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w)),v)** -> c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),u).
% 299.97/300.63 12514[0:SpR:125.1,2367.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),v)),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(w,u),v))),hAPP(c_Complete__Lattice_OInf__class_OInf(u),v))**.
% 299.97/300.63 12488[0:SpR:125.1,35.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(c_Complete__Lattice_OInf__class_OInf(u),w),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),w)),x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))**.
% 299.97/300.63 12583[0:SSi:12539.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(u,tc_bool)),w)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))** -> hBOOL(hAPP(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),w),x))*.
% 299.97/300.63 12584[0:SSi:12540.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w)),v)** -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),v,u).
% 299.97/300.63 13447[0:Res:533.1,486.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_False)) hBOOL(c_in(w,v,u)) -> hBOOL(c_in(w,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(tc_fun(u,tc_bool)),v)),u))*.
% 299.97/300.63 13553[0:Res:533.1,147.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),c_False)) hBOOL(c_in(w,v,u)) -> hBOOL(c_in(w,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v)),u))*.
% 299.97/300.63 13792[0:Res:533.1,53.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_False)) c_Fun_Oinj__on(w,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(tc_fun(u,tc_bool)),v)),u,x)* -> c_Fun_Oinj__on(w,v,u,x).
% 299.97/300.63 13902[0:Res:1410.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,v),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v,tc_fun(x,tc_bool)),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),u,z,tc_fun(w,tc_bool)),w)*.
% 299.97/300.63 13900[0:Res:1426.1,106.0] class_Complete__Lattice_Ocomplete__lattice(u) || c_Finite__Set_Ofinite(hAPP(v,w),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),v,z,tc_fun(x,tc_bool)),x)*.
% 299.97/300.63 13899[0:Res:1425.1,106.0] class_Complete__Lattice_Ocomplete__lattice(u) || c_Finite__Set_Ofinite(hAPP(v,w),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),v,z,tc_fun(x,tc_bool)),x)*.
% 299.97/300.63 14168[0:Res:137.1,117.0] || c_Fun_Oinj__on(c_Fun_Ocomp(u,v,w,x,y),z,y,x)* -> c_Fun_Oinj__on(u,hAPP(c_Set_Oimage(v,y,w),hAPP(c_HOL_Ominus__class_Ominus(z,tc_fun(y,tc_bool)),x1)),w,x)*.
% 299.97/300.63 15126[0:SpL:13517.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))))*.
% 299.97/300.63 15124[0:SpL:12731.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)))*.
% 299.97/300.63 15122[0:SpL:13510.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),hAPP(c_lessequals(tc_bool),c_False))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),hAPP(c_lessequals(tc_bool),c_False)))*.
% 299.97/300.63 15121[0:SpL:12718.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),hAPP(c_fequal(tc_bool),c_False))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),hAPP(c_fequal(tc_bool),c_False)))*.
% 299.97/300.63 15096[0:SpL:8998.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)))*.
% 299.97/300.63 15095[0:SpL:5331.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)))*.
% 299.97/300.63 15094[0:SpL:8825.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)))*.
% 299.97/300.63 15093[0:SpL:5198.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)))*.
% 299.97/300.63 15009[0:SpL:540.1,503.1] class_Orderings_Obot(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(u)),v_x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),v)),v_x))*.
% 299.97/300.63 15008[0:SpL:443.1,503.1] class_Orderings_Otop(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(u)),v_x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v)),v_x))*.
% 299.97/300.63 14995[0:SpL:678.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_COMBK(c_False,tc_bool,v)),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),u)),w))*.
% 299.97/300.63 14961[0:SpL:712.1,503.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)),w))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(c_fequal(u),v)),w))*.
% 299.97/300.63 15267[0:Res:41.1,446.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),v).
% 299.97/300.63 15266[0:Res:37.1,446.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),v).
% 299.97/300.63 15254[0:Res:232.1,446.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),w))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w).
% 299.97/300.63 15253[0:Res:229.1,446.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),w))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w).
% 299.97/300.63 15252[0:Res:233.1,446.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),v))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),v).
% 299.97/300.63 15251[0:Res:228.1,446.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),v))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),v).
% 299.97/300.63 15238[0:Res:42.1,446.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v).
% 299.97/300.63 15237[0:Res:36.1,446.1] class_Lattices_Olattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v).
% 299.97/300.63 15293[0:SSi:15264.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),hAPP(c_fequal(u),v)))* -> equal(hAPP(c_Set_Oinsert(v,u),w),hAPP(c_fequal(u),v)).
% 299.97/300.63 15294[0:SSi:15256.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),v))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),v).
% 299.97/300.63 15295[0:SSi:15255.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),w))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w).
% 299.97/300.63 15500[0:SpL:15481.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),hAPP(c_fequal(tc_bool),c_False))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),hAPP(c_fequal(tc_bool),c_False)))*.
% 299.97/300.63 15525[0:Res:222.3,738.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_Finite__Set_Olinorder__class_OMin(w,u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.63 15524[0:Res:222.3,737.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_Finite__Set_Olinorder__class_OMin(w,u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.63 15533[0:Obv:15522.0] class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Finite__Set_Olinorder__class_OMin(w,u)),v))* equal(c_Finite__Set_Olinorder__class_OMin(w,u),v).
% 299.97/300.63 15546[0:SpL:15484.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)))*.
% 299.97/300.63 15591[0:Res:221.3,738.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(c_Finite__Set_Olinorder__class_OMax(w,u),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.63 15590[0:Res:221.3,737.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_Finite__Set_Olinorder__class_OMax(w,u),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.63 15600[0:Obv:15588.0] class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Finite__Set_Olinorder__class_OMax(w,u)))* equal(v,c_Finite__Set_Olinorder__class_OMax(w,u)).
% 299.97/300.63 16075[0:Res:434.2,738.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(y,v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,y,x,u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.63 16074[0:Res:434.2,737.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(y,v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,y,x,u),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.63 16036[0:SpR:13526.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(c_in(c_COMBK(v,w,x),y,z))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(y,c_Complete__Lattice_OInf__class_OInf(tc_bool),z,u)),c_False))*.
% 299.97/300.63 16028[0:SpR:9868.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),x,u)),y))*.
% 299.97/300.63 16027[0:SpR:8987.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),x,u)),y))*.
% 299.97/300.63 16026[0:SpR:9635.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),x,u)),y))*.
% 299.97/300.63 16025[0:SpR:8814.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),x,u)),y))*.
% 299.97/300.63 16018[0:SpR:13730.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),w,x))* -> equal(v,c_False) hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_False))*.
% 299.97/300.63 15982[0:SpR:714.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_fequal(u),w),x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OSup__class_OSup(u),y,v)),w))*.
% 299.97/300.63 15981[0:SpR:710.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_fequal(u),w),x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OInf__class_OInf(u),y,v)),w))*.
% 299.97/300.63 15933[0:SpR:367.1,434.2] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),x,v)),y))*.
% 299.97/300.63 15931[0:SpR:12280.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),x,v)),y))*.
% 299.97/300.63 15925[0:SpR:677.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_COMBK(c_False,tc_bool,v),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_HOL_Ominus__class_Ominus(y,tc_fun(v,tc_bool)),x,u)),y))*.
% 299.97/300.63 15924[0:SpR:540.1,434.2] class_Orderings_Obot(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(v_x,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),x,v)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.63 15923[0:SpR:443.1,434.2] class_Orderings_Otop(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(v_x,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),x,v)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.63 15918[0:SpR:19.1,434.2] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),x,v)),y))*.
% 299.97/300.63 15916[0:SpR:12562.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),x,v)),y))*.
% 299.97/300.63 15910[0:SpR:678.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_HOL_Ominus__class_Ominus(v,tc_fun(y,tc_bool)),x,u)),c_COMBK(c_False,tc_bool,y)))*.
% 299.97/300.63 15889[0:SpR:18.1,434.2] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),y,v)),w))*.
% 299.97/300.63 15886[0:SpR:366.1,434.2] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),y,v)),w))*.
% 299.97/300.63 15876[0:SpR:712.1,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_fequal(u),y,v)),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)))*.
% 299.97/300.63 16336[0:Res:264.2,738.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,y,x,u),hAPP(y,v),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.63 16335[0:Res:264.2,737.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,y,x,u),hAPP(y,v),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.63 16300[0:SpR:13526.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(c_in(c_COMBK(v,w,x),y,z))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,c_Complete__Lattice_OInf__class_OInf(tc_bool),z,u)))*.
% 299.97/300.63 16292[0:SpR:9868.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),x,u)))*.
% 299.97/300.63 16291[0:SpR:8987.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),x,u)))*.
% 299.97/300.63 16290[0:SpR:9635.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),x,u)))*.
% 299.97/300.63 16289[0:SpR:8814.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),x,u)))*.
% 299.97/300.63 16282[0:SpR:13730.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),w,x))* -> equal(v,c_False) hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 299.97/300.63 16245[0:SpR:714.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_fequal(u),w),x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(u),y,v)))*.
% 299.97/300.63 16244[0:SpR:710.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_fequal(u),w),x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OInf__class_OInf(u),y,v)))*.
% 299.97/300.63 16196[0:SpR:367.1,264.2] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),x,v)))*.
% 299.97/300.63 16194[0:SpR:12280.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),x,v)))*.
% 299.97/300.63 16188[0:SpR:677.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_COMBK(c_False,tc_bool,v),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Ominus__class_Ominus(y,tc_fun(v,tc_bool)),x,u)))*.
% 299.97/300.63 16187[0:SpR:540.1,264.2] class_Orderings_Obot(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(v_x,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),x,v)))*.
% 299.97/300.63 16186[0:SpR:443.1,264.2] class_Orderings_Otop(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(v_x,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),x,v)))*.
% 299.97/300.63 16181[0:SpR:19.1,264.2] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),x,v)))*.
% 299.97/300.63 16179[0:SpR:12562.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),x,v)))*.
% 299.97/300.63 16173[0:SpR:678.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_COMBK(c_False,tc_bool,y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Ominus__class_Ominus(v,tc_fun(y,tc_bool)),x,u)))*.
% 299.97/300.63 16152[0:SpR:18.1,264.2] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),y,v)))*.
% 299.97/300.63 16149[0:SpR:366.1,264.2] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),y,v)))*.
% 299.97/300.63 16139[0:SpR:712.1,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_fequal(u),y,v)))*.
% 299.97/300.63 16795[0:SSi:16773.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),v)))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),v),v).
% 299.97/300.63 16796[0:SSi:16743.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w)))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),v).
% 299.97/300.63 17125[0:SSi:17114.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Set_Oinsert(x,u),w),v,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 299.97/300.63 17126[0:SSi:17113.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(c_Set_Oinsert(x,u),w),v,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 299.97/300.63 17268[0:Res:156.1,413.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)))* hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),x),v)).
% 299.97/300.63 17267[0:Res:518.1,413.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)))* hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),x),v)).
% 299.97/300.63 17257[0:Res:412.1,413.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),hAPP(c_Set_Oinsert(y,u),x)))*.
% 299.97/300.63 17416[0:Res:172.2,451.1] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)),w),w)**.
% 299.97/300.63 17415[0:Res:172.2,449.1] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)),w)**.
% 299.97/300.63 17434[0:SSi:17405.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x),v)),w)**.
% 299.97/300.63 17435[0:SSi:17404.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x),v)),w),w)**.
% 299.97/300.63 17570[0:Res:171.2,451.1] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)),w),w)**.
% 299.97/300.63 17569[0:Res:171.2,449.1] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)),w)**.
% 299.97/300.63 17586[0:SSi:17559.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),x)),w)**.
% 299.97/300.63 17587[0:SSi:17558.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),x)),w),w)**.
% 299.97/300.63 17834[0:Res:2.2,158.1] class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) hBOOL(hAPP(hAPP(c_lessequals(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)))* -> .
% 299.97/300.63 17833[0:Res:2.2,82.1] class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)))* -> .
% 299.97/300.63 17832[0:Res:2.2,155.1] class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) hBOOL(hAPP(hAPP(c_lessequals(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)))* -> .
% 299.97/300.63 17831[0:Res:2.2,80.1] class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)))* -> .
% 299.97/300.63 17830[0:Res:2.2,79.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)))* -> .
% 299.97/300.63 18188[0:Res:1.2,158.1] class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) hBOOL(hAPP(hAPP(c_lessequals(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)))* -> .
% 299.97/300.63 18187[0:Res:1.2,82.1] class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)))* -> .
% 299.97/300.63 18186[0:Res:1.2,155.1] class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) hBOOL(hAPP(hAPP(c_lessequals(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)))* -> .
% 299.97/300.63 18185[0:Res:1.2,80.1] class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)))* -> .
% 299.97/300.63 18184[0:Res:1.2,79.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)))* -> .
% 299.97/300.63 18472[0:Res:479.2,166.1] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),v),v)**.
% 299.97/300.63 18471[0:Res:479.2,164.1] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),v)**.
% 299.97/300.63 18686[0:Res:478.2,166.1] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w)),v),v)**.
% 299.97/300.63 18685[0:Res:478.2,164.1] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w)),v)**.
% 299.97/300.63 18898[0:Res:185.2,158.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w)),v))* -> .
% 299.97/300.63 18897[0:Res:185.2,82.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w)),v))* -> .
% 299.97/300.63 18896[0:Res:185.2,155.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w)),v))* -> .
% 299.97/300.63 18895[0:Res:185.2,80.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w)),v))* -> .
% 299.97/300.63 18894[0:Res:185.2,79.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w)),v))* -> .
% 299.97/300.63 19112[0:Res:184.2,158.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),v))* -> .
% 299.97/300.63 19111[0:Res:184.2,82.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),v))* -> .
% 299.97/300.63 19110[0:Res:184.2,155.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),v))* -> .
% 299.97/300.63 19109[0:Res:184.2,80.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),v))* -> .
% 299.97/300.63 19108[0:Res:184.2,79.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),v))* -> .
% 299.97/300.63 19260[0:Res:724.1,477.1] class_Orderings_Oorder(u) class_Lattices_Oupper__semilattice(u) || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),x,u),c_COMBK(c_False,tc_bool,u))** hBOOL(hAPP(hAPP(c_lessequals(u),v),x)).
% 299.97/300.63 19248[0:Res:516.2,477.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),x,u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(c_Complete__Lattice_OSup__class_OSup(u),x)))*.
% 299.97/300.63 19619[0:Res:724.1,476.1] class_Orderings_Oorder(u) class_Lattices_Oupper__semilattice(u) || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),x,u),c_COMBK(c_False,tc_bool,u))** hBOOL(hAPP(hAPP(c_lessequals(u),w),x)).
% 299.97/300.63 19607[0:Res:516.2,476.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),x,u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),hAPP(c_Complete__Lattice_OSup__class_OSup(u),x)))*.
% 299.97/300.63 19796[0:Res:724.1,170.1] class_Orderings_Oorder(u) class_Lattices_Olower__semilattice(u) || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x),u),c_COMBK(c_False,tc_bool,u))** hBOOL(hAPP(hAPP(c_lessequals(u),v),x)).
% 299.97/300.63 19781[0:Res:457.2,170.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x,u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),x)),w))*.
% 299.97/300.63 20018[0:Res:724.1,169.1] class_Orderings_Oorder(u) class_Lattices_Olower__semilattice(u) || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x),u),c_COMBK(c_False,tc_bool,u))** hBOOL(hAPP(hAPP(c_lessequals(u),v),w)).
% 299.97/300.63 20003[0:Res:457.2,169.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x,u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),x)),v))*.
% 299.97/300.63 20238[0:Res:1.2,20047.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(tc_bool))) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.63 20237[0:Res:2.2,20047.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Orderings_Otop__class_Otop(tc_bool))) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.63 20213[0:Res:171.2,20047.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Otop__class_Otop(tc_bool))) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.63 20212[0:Res:172.2,20047.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Otop__class_Otop(tc_bool))) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.63 20363[0:SpR:20174.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),w),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,u)))*.
% 299.97/300.63 20362[0:SpR:20174.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),w),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.63 20841[0:SpR:13495.1,435.1] || hBOOL(hAPP(u,c_False)) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 299.97/300.63 20832[0:SpR:19877.0,435.1] || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(w,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.63 20795[0:SpR:20155.0,435.1] || hBOOL(c_in(hAPP(c_fequal(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.63 20667[0:SpR:5302.1,435.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_SetInterval_Oord__class_OgreaterThanAtMost(z,z,u),x,tc_fun(y,tc_bool))),c_False))*.
% 299.97/300.63 20666[0:SpR:5169.1,435.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_SetInterval_Oord__class_OatLeastLessThan(z,z,u),x,tc_fun(y,tc_bool))),c_False))*.
% 299.97/300.63 20652[0:SpR:13738.1,435.1] || hBOOL(c_in(u,v,w))* -> equal(x,c_False) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_SetInterval_Oord__class_OatLeastAtMost(x,c_False,tc_bool),w,tc_fun(y,tc_bool))),c_False))*.
% 299.97/300.63 20643[0:SpR:50.1,435.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x,tc_fun(y,tc_bool))),v))*.
% 299.97/300.63 20642[0:SpR:1919.1,435.1] class_Lattices_Olattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x,tc_fun(y,tc_bool))),v))*.
% 299.97/300.63 20641[0:SpR:12821.1,435.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x,tc_fun(y,tc_bool))),v))*.
% 299.97/300.63 20640[0:SpR:255.1,435.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x,tc_fun(y,tc_bool))),v))*.
% 299.97/300.63 20639[0:SpR:1918.1,435.1] class_Lattices_Olattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x,tc_fun(y,tc_bool))),v))*.
% 299.97/300.63 20638[0:SpR:12701.1,435.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x,tc_fun(y,tc_bool))),v))*.
% 299.97/300.63 20882[0:SSi:20873.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(x,u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,x,w,tc_fun(y,tc_bool)),tc_fun(y,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(y,tc_bool)))**.
% 299.97/300.63 20883[0:SSi:20872.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(x,u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,x,w,tc_fun(y,tc_bool)),tc_fun(y,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(y,tc_bool)))**.
% 299.97/300.63 21252[0:SpR:13495.1,265.1] || hBOOL(hAPP(u,c_False)) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 299.97/300.63 21243[0:SpR:19877.0,265.1] || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(w,tc_bool))))*.
% 299.97/300.63 21205[0:SpR:20155.0,265.1] || hBOOL(c_in(hAPP(c_fequal(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 299.97/300.63 21077[0:SpR:5302.1,265.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OgreaterThanAtMost(z,z,u),x,tc_fun(y,tc_bool))))*.
% 299.97/300.63 21076[0:SpR:5169.1,265.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OatLeastLessThan(z,z,u),x,tc_fun(y,tc_bool))))*.
% 299.97/300.63 21062[0:SpR:13738.1,265.1] || hBOOL(c_in(u,v,w))* -> equal(x,c_False) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_SetInterval_Oord__class_OatLeastAtMost(x,c_False,tc_bool),w,tc_fun(y,tc_bool))))*.
% 299.97/300.63 21053[0:SpR:50.1,265.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x,tc_fun(y,tc_bool))))*.
% 299.97/300.63 21052[0:SpR:1919.1,265.1] class_Lattices_Olattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x,tc_fun(y,tc_bool))))*.
% 299.97/300.63 21051[0:SpR:12821.1,265.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x,tc_fun(y,tc_bool))))*.
% 299.97/300.63 21050[0:SpR:255.1,265.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x,tc_fun(y,tc_bool))))*.
% 299.97/300.63 21049[0:SpR:1918.1,265.1] class_Lattices_Olattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x,tc_fun(y,tc_bool))))*.
% 299.97/300.63 21048[0:SpR:12701.1,265.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x,tc_fun(y,tc_bool))))*.
% 299.97/300.63 21295[0:SSi:21279.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,x,w,tc_fun(y,tc_bool)),hAPP(x,u),tc_fun(y,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(y,tc_bool)))**.
% 299.97/300.63 21296[0:SSi:21278.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,x,w,tc_fun(y,tc_bool)),hAPP(x,u),tc_fun(y,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(y,tc_bool)))**.
% 299.97/300.63 22001[0:Res:1533.0,352.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_Fun_Ofun__upd(x,y,z,x1,x2),u,x3),w,tc_fun(x4,tc_bool)),z))*.
% 299.97/300.63 21996[0:Res:156.1,352.0] class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),y),v))* hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(z,tc_bool)),y))*.
% 299.97/300.63 21995[0:Res:518.1,352.0] class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),y),v))* hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(z,tc_bool)),y))*.
% 299.97/300.63 21958[0:Res:3804.1,352.0] || hBOOL(c_in(u,v,w)) hBOOL(c_in(x,y,z))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),z,tc_fun(x1,tc_bool)),u))*.
% 299.97/300.63 21952[0:Res:2002.0,352.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),y),u,z),w,tc_fun(x1,tc_bool)),y))*.
% 299.97/300.63 21951[0:Res:1528.0,352.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),u,z),w,tc_fun(x1,tc_bool)),y))*.
% 299.97/300.63 21949[0:Res:156.2,352.0] class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),y),v))* hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Oord__class_Oless(u),x,tc_fun(z,tc_bool)),y))*.
% 299.97/300.63 21934[0:Res:4819.0,352.0] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),y,z),x,tc_fun(x1,tc_bool)),c_False))*.
% 299.97/300.63 21929[0:Res:1547.0,352.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_Set_Oinsert(x,y),u,z),w,tc_fun(x1,tc_bool)),hAPP(c_fequal(y),x)))*.
% 299.97/300.63 21928[0:Res:2699.0,352.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_Set_Oinsert(x,y),u,z),w,tc_fun(x1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))))*.
% 299.97/300.63 21919[0:Res:4377.1,352.0] || hBOOL(c_in(u,v,w))* hBOOL(c_in(v,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Set_Oimage(z,w,x1),y,tc_fun(x2,tc_bool)),hAPP(z,u)))*.
% 299.97/300.63 21918[0:Res:3816.1,352.0] || hBOOL(c_in(u,v,w))* hBOOL(c_in(v,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),z),y,tc_fun(x1,tc_bool)),u))*.
% 299.97/300.63 21880[0:SpL:251.0,352.0] || hBOOL(hAPP(hAPP(u,v),w))* hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_COMBC(u,z,x1,x2),y,tc_fun(x3,tc_bool)),v))*.
% 299.97/300.63 21807[0:SpL:5430.2,352.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || hBOOL(v) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(u),x,tc_fun(y,tc_bool)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.63 21804[0:SpL:5685.2,352.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || hBOOL(v) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Olower__semilattice__class_Oinf(u),x,tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.63 21798[0:SpL:5538.2,352.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || hBOOL(v) hBOOL(c_in(c_Orderings_Otop__class_Otop(u),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Olower__semilattice__class_Oinf(u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.63 21797[0:SpL:5860.2,352.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(v) hBOOL(c_in(c_Orderings_Otop__class_Otop(u),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Olower__semilattice__class_Oinf(u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.63 21795[0:SpL:5360.2,352.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || hBOOL(v) hBOOL(c_in(c_Orderings_Obot__class_Obot(u),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.63 21794[0:SpL:5792.2,352.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(v) hBOOL(c_in(c_Orderings_Obot__class_Obot(u),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.63 21778[0:SpL:13495.1,352.0] || hBOOL(hAPP(u,c_False)) hBOOL(hAPP(c_False,v)) hBOOL(c_in(u,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.63 21767[0:SpL:19877.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool)),u))*.
% 299.97/300.63 21723[0:SpL:20155.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.63 21595[0:SpL:5302.1,352.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_False,v)) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_SetInterval_Oord__class_OgreaterThanAtMost(z,z,u),y,tc_fun(x1,tc_bool)),v))*.
% 299.97/300.63 21594[0:SpL:5169.1,352.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_False,v)) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_SetInterval_Oord__class_OatLeastLessThan(z,z,u),y,tc_fun(x1,tc_bool)),v))*.
% 299.97/300.63 21580[0:SpL:13738.1,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(v,w,x))* -> equal(y,c_False) hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OatLeastAtMost(y,c_False,tc_bool),x,tc_fun(z,tc_bool)),u))*.
% 299.97/300.63 21571[0:SpL:50.1,352.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(v,w)) hBOOL(c_in(v,x,y)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.63 21570[0:SpL:1919.1,352.0] class_Lattices_Olattice(u) || hBOOL(hAPP(v,w)) hBOOL(c_in(v,x,y)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.63 21569[0:SpL:12821.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(v,w)) hBOOL(c_in(v,x,y)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.63 21568[0:SpL:255.1,352.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(v,w)) hBOOL(c_in(v,x,y)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.63 21567[0:SpL:1918.1,352.0] class_Lattices_Olattice(u) || hBOOL(hAPP(v,w)) hBOOL(c_in(v,x,y)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.63 21566[0:SpL:12701.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(v,w)) hBOOL(c_in(v,x,y)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.63 22587[0:SpR:13619.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u),w)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),w)))*.
% 299.97/300.63 22577[0:SpR:12544.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(c_False,tc_bool),w),u),x)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),x)))*.
% 299.97/300.63 22576[0:SpR:9924.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool),u),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),x)))*.
% 299.97/300.63 22575[0:SpR:9032.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool),u),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),x)))*.
% 299.97/300.63 22572[0:SpR:9690.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool),u),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),x)))*.
% 299.97/300.63 22571[0:SpR:8858.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool),u),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),x)))*.
% 299.97/300.63 22556[0:SpR:20154.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),u),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),x)))*.
% 299.97/300.63 22535[0:SpR:20242.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),x)))*.
% 299.97/300.63 22534[0:SpR:20206.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_bool),w),u),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),x)))*.
% 299.97/300.63 22533[0:SpR:20243.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u),w)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),w)))*.
% 299.97/300.63 22469[0:SpR:1916.0,405.0] || -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(u,v),x)),hAPP(c_Set_Oinsert(u,w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),x)))*.
% 299.97/300.63 22468[0:SpR:1118.0,405.0] || -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(c_False,v),x)),hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),x)))*.
% 299.97/300.63 22466[0:SpR:1088.0,405.0] || -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),hAPP(c_Set_Oinsert(w,u),x)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),x)))*.
% 299.97/300.63 22440[0:SpR:988.0,405.0] || -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(c_False,v),x)),hAPP(c_Set_Oinsert(u,w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),x)))*.
% 299.97/300.63 22414[0:SpR:657.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_COMBK(u,v,w),x,y),hAPP(c_Set_Oinsert(z,x),x1)),hAPP(c_Set_Oinsert(u,y),hAPP(c_Set_Oimage(c_COMBK(u,v,w),x,y),x1)))*.
% 299.97/300.63 22407[0:SpR:956.0,405.0] || -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u,v),hAPP(c_Set_Oinsert(w,u),x)),hAPP(c_Set_Oinsert(w,v),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u,v),x)))*.
% 299.97/300.63 22398[0:SpR:9728.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),y)),hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w),y)))*.
% 299.97/300.63 22397[0:SpR:9002.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),y)),hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w),y)))*.
% 299.97/300.63 22396[0:SpR:9428.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),y)),hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w),y)))*.
% 299.97/300.63 22395[0:SpR:8828.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),y)),hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w),y)))*.
% 299.97/300.63 22363[0:SpR:611.0,405.0] || -> equal(hAPP(c_Set_Oinsert(hAPP(u,v),w),hAPP(c_Set_Oimage(u,x,w),hAPP(c_Set_Oinsert(v,x),y))),hAPP(c_Set_Oimage(u,x,w),hAPP(c_Set_Oinsert(v,x),y)))**.
% 299.97/300.63 22334[0:SpR:405.0,3059.1] || equal(hAPP(c_Set_Oimage(u,v,w),x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))) -> equal(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(y,v),x)),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))**.
% 299.97/300.63 22331[0:SpR:405.0,7115.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oimage(u,v,tc_Hoare__Mirabelle_Otriple(w)),hAPP(c_Set_Oinsert(x,v),y)),hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(u,v,tc_Hoare__Mirabelle_Otriple(w)),y),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),z),w)*.
% 299.97/300.63 22309[0:SpR:405.0,248.0] || -> hBOOL(c_in(hAPP(c_Set_Oinsert(hAPP(u,v),w),hAPP(c_Set_Oimage(u,x,w),y)),hAPP(c_Set_Oimage(c_Set_Oimage(u,x,w),z,x1),c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool))),x1))*.
% 299.97/300.63 22299[0:SpR:405.0,4377.1] || hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),x),w))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(hAPP(y,v),z),hAPP(c_Set_Oimage(y,w,z),x)),hAPP(y,u)))*.
% 299.97/300.63 23100[0:SpL:13495.1,461.0] || hBOOL(hAPP(hAPP(u,v),c_False))* equal(hAPP(u,v),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(w,u,x,y)* -> equal(hAPP(hAPP(w,c_Complete__Lattice_OInf__class_OInf(tc_bool)),v),v)**.
% 299.97/300.63 23060[0:SpL:20209.1,461.0] || equal(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_HOL_Oord__class_Oless(tc_bool),w,x)* -> equal(c_Orderings_Otop__class_Otop(tc_bool),u) equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),u),u)**.
% 299.97/300.63 23054[0:SpL:20174.0,461.0] || equal(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),u),v),c_Orderings_Otop__class_Otop(tc_bool))** c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),u),x,y)* -> equal(hAPP(hAPP(w,c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),v)**.
% 299.97/300.63 23048[0:SpL:12263.0,461.0] || equal(hAPP(c_Set_Oinsert(c_False,tc_bool),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Set_Oinsert(c_False,tc_bool),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),u),u)**.
% 299.97/300.63 23000[0:SpL:186.1,461.0] class_Lattices_Obounded__lattice(u) || equal(c_Orderings_Obot__class_Obot(u),hAPP(v,w))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u))),w),w)**.
% 299.97/300.63 22989[0:SpL:278.1,461.0] class_Lattices_Obounded__lattice(u) || equal(c_Orderings_Otop__class_Otop(u),hAPP(v,w))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u))),w),w)**.
% 299.97/300.63 22937[0:SpL:13516.1,461.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) equal(hAPP(v,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,y)* -> equal(hAPP(hAPP(w,v),u),u)**.
% 299.97/300.63 22827[0:SpL:2160.0,461.0] || equal(hAPP(u,v),v) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y,z)* -> equal(hAPP(hAPP(w,u),v),v)**.
% 299.97/300.63 22825[0:SpL:9853.0,461.0] || equal(hAPP(u,v),v) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool)),y,z)* -> equal(hAPP(hAPP(w,u),v),v)**.
% 299.97/300.63 22824[0:SpL:8972.0,461.0] || equal(hAPP(u,v),v) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool)),y,z)* -> equal(hAPP(hAPP(w,u),v),v)**.
% 299.97/300.63 22823[0:SpL:9620.0,461.0] || equal(hAPP(u,v),v) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool)),y,z)* -> equal(hAPP(hAPP(w,u),v),v)**.
% 299.97/300.63 22822[0:SpL:8799.0,461.0] || equal(hAPP(u,v),v) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool)),y,z)* -> equal(hAPP(hAPP(w,u),v),v)**.
% 299.97/300.63 22781[0:SpL:684.0,461.0] || equal(hAPP(u,v),v) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,x)),y,z)* -> equal(hAPP(hAPP(w,u),v),v)**.
% 299.97/300.63 22771[0:SpL:367.1,461.0] class_Lattices_Obounded__lattice(u) || equal(hAPP(v,w),w)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y,z)* -> equal(hAPP(hAPP(x,v),c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.63 22769[0:SpL:12280.1,461.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(v,w),w)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y,z)* -> equal(hAPP(hAPP(x,v),c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.63 22762[0:SpL:540.1,461.0] class_Orderings_Obot(u) || equal(hAPP(v,c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u))** c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),x,y)* -> equal(hAPP(hAPP(w,v),v_x),v_x)**.
% 299.97/300.63 22761[0:SpL:443.1,461.0] class_Orderings_Otop(u) || equal(hAPP(v,c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(u))** c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),x,y)* -> equal(hAPP(hAPP(w,v),v_x),v_x)**.
% 299.97/300.63 22755[0:SpL:19.1,461.0] class_Lattices_Obounded__lattice(u) || equal(hAPP(v,w),w)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),y,z)* -> equal(hAPP(hAPP(x,v),c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.63 22753[0:SpL:12562.1,461.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(v,w),w)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),y,z)* -> equal(hAPP(hAPP(x,v),c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.63 22730[0:SpL:418.1,461.0] || hBOOL(c_in(u,v,w))* equal(hAPP(x,v),v) c_Record_Oiso__tuple__update__accessor__cong__assist(y,c_Set_Oinsert(u,w),z,x1)* -> equal(hAPP(hAPP(y,x),v),v)**.
% 299.97/300.63 23292[0:SpL:472.0,107.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oimage(w,x,u),hAPP(c_Set_Oimage(y,z,x),x1))))* c_Finite__Set_Ofinite(x1,z) -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.63 23381[0:SpR:46.0,4377.1] || hBOOL(c_in(u,hAPP(c_Set_Oimage(v,w,x),y),x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_COMBB(z,v,x,x1,w),w,x1),y),hAPP(z,u)))*.
% 299.97/300.63 23472[0:Rew:23395.0,23308.1] || -> equal(u,c_COMBK(c_False,tc_bool,v)) equal(hAPP(c_Set_Oimage(c_COMBB(w,c_COMBK(x,y,v),y,z,v),v,z),u),hAPP(c_fequal(z),hAPP(w,x)))**.
% 299.97/300.63 23580[0:SpR:94.1,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(x,v,w)) hBOOL(hAPP(hAPP(c_Set_Oimage(y,w,z),v),hAPP(c_Fun_Ofun__upd(y,x,x1,w,z),u)))*.
% 299.97/300.63 23941[0:SSi:23940.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(u,v_x)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(t_a,tc_bool)),u),v_x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(v,v_x)),hAPP(u,v_x)))**.
% 299.97/300.63 24205[0:Res:1273.2,364.1] class_Lattices_Obounded__lattice(tc_fun(u,v)) class_Lattices_Olower__semilattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(w,x)),hAPP(c_Orderings_Otop__class_Otop(tc_fun(u,v)),x)))*.
% 299.97/300.63 24204[0:Res:1293.2,364.1] class_Lattices_Obounded__lattice(tc_fun(u,v)) class_Lattices_Olattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(w,x)),hAPP(c_Orderings_Otop__class_Otop(tc_fun(u,v)),x)))*.
% 299.97/300.63 24203[0:Res:1313.2,364.1] class_Lattices_Obounded__lattice(tc_fun(u,v)) class_Lattices_Oupper__semilattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(w,x)),hAPP(c_Orderings_Otop__class_Otop(tc_fun(u,v)),x)))*.
% 299.97/300.63 24195[0:Res:1276.2,364.1] class_Lattices_Obounded__lattice(tc_fun(u,v)) class_Lattices_Olower__semilattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(c_Orderings_Obot__class_Obot(tc_fun(u,v)),w)),hAPP(x,w)))*.
% 299.97/300.63 24194[0:Res:1294.2,364.1] class_Lattices_Obounded__lattice(tc_fun(u,v)) class_Lattices_Olattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(c_Orderings_Obot__class_Obot(tc_fun(u,v)),w)),hAPP(x,w)))*.
% 299.97/300.63 24193[0:Res:1310.2,364.1] class_Lattices_Obounded__lattice(tc_fun(u,v)) class_Lattices_Oupper__semilattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(c_Orderings_Obot__class_Obot(tc_fun(u,v)),w)),hAPP(x,w)))*.
% 299.97/300.63 24823[0:SpR:803.2,1506.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(c_in(x,c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),u))* -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),x)).
% 299.97/300.63 25008[0:SpR:802.2,1506.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(c_in(x,c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),u))* -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),x)).
% 299.97/300.63 25232[0:SSi:25220.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(u,v) -> equal(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(c_Set_Oimage(w,v,v),u),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))** c_Fun_Oinj__on(w,u,v,v).
% 299.97/300.63 25308[0:SpL:712.1,798.0] class_Orderings_Oorder(u) || equal(hAPP(c_Set_Oinsert(v,u),hAPP(c_fequal(u),w)),hAPP(c_Set_Oinsert(x,u),c_SetInterval_Oord__class_OatLeastAtMost(y,y,u)))* -> equal(v,x) equal(w,x).
% 299.97/300.63 25302[0:SpL:712.1,798.0] class_Orderings_Oorder(u) || equal(hAPP(c_Set_Oinsert(v,u),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)),hAPP(c_Set_Oinsert(x,u),hAPP(c_fequal(u),y)))* -> equal(v,x) equal(w,x).
% 299.97/300.63 25450[0:SpL:712.1,796.0] class_Orderings_Oorder(u) || equal(hAPP(c_Set_Oinsert(v,u),hAPP(c_fequal(u),w)),hAPP(c_Set_Oinsert(x,u),c_SetInterval_Oord__class_OatLeastAtMost(y,y,u)))* -> equal(w,y) equal(w,x).
% 299.97/300.63 25444[0:SpL:712.1,796.0] class_Orderings_Oorder(u) || equal(hAPP(c_Set_Oinsert(v,u),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)),hAPP(c_Set_Oinsert(x,u),hAPP(c_fequal(u),y)))* -> equal(w,y) equal(w,x).
% 299.97/300.63 26006[0:SSi:25992.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u)))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u)),v))*.
% 299.97/300.63 26007[0:SSi:25991.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u)))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u)),v))*.
% 299.97/300.63 26344[0:SpL:411.0,1473.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oinsert(v,tc_Hoare__Mirabelle_Otriple(w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x),y)),w)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oinsert(v,tc_Hoare__Mirabelle_Otriple(w)),x),w).
% 299.97/300.63 26302[0:SpR:418.1,411.0] || hBOOL(c_in(u,v,w)) -> equal(hAPP(c_Set_Oinsert(u,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),x))**.
% 299.97/300.63 26285[0:SpR:411.0,1476.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),y))),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(v)),x),v)*.
% 299.97/300.63 26739[0:SpL:410.0,1485.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oinsert(v,tc_Hoare__Mirabelle_Otriple(w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x),y)),w)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oinsert(v,tc_Hoare__Mirabelle_Otriple(w)),y),w).
% 299.97/300.63 26652[0:SpR:418.1,410.0] || hBOOL(c_in(u,v,w)) -> equal(hAPP(c_Set_Oinsert(u,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),v))**.
% 299.97/300.63 26622[0:SpR:410.0,618.1] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(y,u),w)),x))*.
% 299.97/300.63 26612[0:SpR:410.0,20526.0] || -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)),tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),x)),u)*.
% 299.97/300.63 26601[0:SpR:410.0,409.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(x,u),w))))*.
% 299.97/300.63 26593[0:SpR:410.0,3270.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),y))),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(v)),y),v)*.
% 299.97/300.63 26992[0:SpL:266.1,284.0] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,hAPP(c_HOL_Ominus__class_Ominus(y,tc_fun(w,tc_bool)),v),w))* -> hBOOL(c_in(x,hAPP(c_Set_Oinsert(u,w),y),w))*.
% 299.97/300.63 26990[0:SpL:266.1,135.1] || hBOOL(c_in(u,v,w))* c_Finite__Set_Ofinite(v,w) c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(w,tc_bool)),v),w)* -> c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,w),x),w)*.
% 299.97/300.63 26949[0:SpR:266.1,137.1] || hBOOL(c_in(u,v,w))* c_Fun_Oinj__on(x,hAPP(c_Set_Oinsert(u,w),y),w,z)* -> c_Fun_Oinj__on(x,hAPP(c_HOL_Ominus__class_Ominus(y,tc_fun(w,tc_bool)),v),w,z)*.
% 299.97/300.63 27226[0:Res:425.2,486.0] class_Orderings_Oorder(u) || hBOOL(c_in(v,c_SetInterval_Oord__class_OatLeastAtMost(w,x,u),u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),x)) hBOOL(c_in(v,c_SetInterval_Oord__class_OatLeastAtMost(y,z,u),u))*.
% 299.97/300.63 27225[0:Res:425.2,53.0] class_Orderings_Oorder(u) || c_Fun_Oinj__on(v,c_SetInterval_Oord__class_OatLeastAtMost(w,x,u),u,y)* -> hBOOL(hAPP(hAPP(c_lessequals(u),z),x1)) c_Fun_Oinj__on(v,c_SetInterval_Oord__class_OatLeastAtMost(z,x1,u),u,y)*.
% 299.97/300.63 27257[0:SSi:27242.1,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),x)),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(y,z,u),x)))*.
% 299.97/300.63 27381[0:SSi:27353.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || -> equal(u,c_False) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v))*.
% 299.97/300.63 27927[0:Res:1410.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_fun(y,tc_bool)),u,z),w,tc_fun(z,tc_bool)),z))*.
% 299.97/300.63 27925[0:Res:1426.1,331.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,z),x,tc_fun(z,tc_bool)),z))*.
% 299.97/300.63 27924[0:Res:1425.1,331.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,z),x,tc_fun(z,tc_bool)),z))*.
% 299.97/300.63 27895[0:SpL:13517.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w))* hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.63 27891[0:SpL:12731.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u,v)) hBOOL(c_in(w,c_False,x)) -> hBOOL(c_in(w,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(x,tc_bool)),x))*.
% 299.97/300.63 27879[0:SpL:13510.0,331.1] || hBOOL(c_in(hAPP(c_lessequals(tc_bool),c_False),u,v)) hBOOL(c_in(w,c_False,x)) -> hBOOL(c_in(w,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(x,tc_bool)),x))*.
% 299.97/300.63 27878[0:SpL:12718.0,331.1] || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_False),u,v)) hBOOL(c_in(w,c_False,x)) -> hBOOL(c_in(w,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(x,tc_bool)),x))*.
% 299.97/300.63 27843[0:SpL:15484.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u,v)) hBOOL(c_in(w,c_False,x)) -> hBOOL(c_in(w,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,tc_fun(x,tc_bool)),x))*.
% 299.97/300.63 27806[0:SpL:15481.0,331.1] || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_False),u,v)) hBOOL(c_in(w,c_False,x)) -> hBOOL(c_in(w,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,tc_fun(x,tc_bool)),x))*.
% 299.97/300.63 27797[0:SpL:8998.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.63 27796[0:SpL:5331.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.63 27795[0:SpL:8825.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.63 27794[0:SpL:5198.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.63 27738[0:SpL:12550.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) hBOOL(c_in(w,x,y)) -> hBOOL(c_in(w,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),v,tc_fun(y,tc_bool)),y))*.
% 299.97/300.63 27735[0:SpL:12624.0,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,u,y))* -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.63 27665[0:SpL:24543.0,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,c_Orderings_Otop__class_Otop(tc_bool),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool)),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.63 28332[0:SpL:28266.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),w))*.
% 299.97/300.63 28286[0:SpR:28266.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),y,u)))*.
% 299.97/300.63 28285[0:SpR:28266.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),y,u)),v))*.
% 299.97/300.63 28708[0:SpL:326.1,767.0] || hBOOL(c_in(u,v,w))* c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(c_Set_Oimage(y,w,tc_Hoare__Mirabelle_Otriple(z)),v),z)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(z)),hAPP(y,u)),z)*.
% 299.97/300.63 28692[0:SpR:14872.0,326.1] || hBOOL(c_in(c_False,u,v)) -> equal(hAPP(c_Set_Oinsert(w,x),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(w,tc_bool),v,x),u)),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(w,tc_bool),v,x),u))**.
% 299.97/300.63 28463[0:SpR:14632.0,326.1] || hBOOL(c_in(u,v,w)) -> equal(hAPP(c_Set_Oinsert(c_False,x),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),w,x),v)),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),w,x),v))**.
% 299.97/300.63 28462[0:SpR:14531.0,326.1] || hBOOL(c_in(u,v,w))* -> equal(hAPP(c_Set_Oinsert(c_False,x),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_False,tc_bool),w,x),v)),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_False,tc_bool),w,x),v))**.
% 299.97/300.63 28401[0:SpR:326.1,1430.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(hAPP(x,u),y),z,x1),c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool))),hAPP(c_Set_Oimage(x,w,y),v)))*.
% 299.97/300.63 28724[0:MRR:28704.2,16088.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(hAPP(y,v),z),u)),hAPP(c_Set_Oimage(y,x,z),w)))*.
% 299.97/300.63 28733[0:SpR:28267.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),y),x,u)))*.
% 299.97/300.63 28732[0:SpR:28267.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),y),x,u)),v))*.
% 299.97/300.63 28870[0:SpL:28268.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(hAPP(hAPP(c_lessequals(u),w),v)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u)),v))*.
% 299.97/300.63 28820[0:SpR:28268.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),x,u)))*.
% 299.97/300.63 28819[0:SpR:28268.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),x,u)),y))*.
% 299.97/300.63 28949[0:SpR:28269.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(u),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),y,u)))*.
% 299.97/300.63 28948[0:SpR:28269.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),y,u)),w))*.
% 299.97/300.63 29551[0:SpL:29202.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(hAPP(hAPP(c_lessequals(u),c_False),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OgreaterThanAtMost(x,v,tc_bool),u)),w))*.
% 299.97/300.63 29518[0:SpR:29202.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_SetInterval_Oord__class_OgreaterThanAtMost(z,v,tc_bool),y,u)))*.
% 299.97/300.63 29517[0:SpR:29202.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_SetInterval_Oord__class_OgreaterThanAtMost(z,v,tc_bool),y,u)),c_False))*.
% 299.97/300.63 30356[0:SpR:14872.0,159.0] || -> equal(c_Fun_Ocomp(c_HOL_Ominus__class_Ominus(u,tc_bool),c_Fun_Ofun__upd(v,w,c_False,x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(c_HOL_Ominus__class_Ominus(u,tc_bool),v,y,z,x),w,u,x,z))*.
% 299.97/300.63 30123[0:SpR:14632.0,159.0] || -> equal(c_Fun_Ocomp(c_HOL_Ominus__class_Ominus(u,tc_bool),c_Fun_Ofun__upd(v,w,u,x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(c_HOL_Ominus__class_Ominus(u,tc_bool),v,y,z,x),w,c_False,x,z))*.
% 299.97/300.63 30122[0:SpR:14531.0,159.0] || -> equal(c_Fun_Ocomp(c_HOL_Ominus__class_Ominus(c_False,tc_bool),c_Fun_Ofun__upd(u,v,w,x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(c_HOL_Ominus__class_Ominus(c_False,tc_bool),u,y,z,x),v,c_False,x,z))*.
% 299.97/300.63 30083[0:SpR:19895.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x),hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x))**.
% 299.97/300.63 30456[0:SpL:29751.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(hAPP(hAPP(c_lessequals(u),c_False),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastLessThan(x,v,tc_bool),u)),w))*.
% 299.97/300.63 30422[0:SpR:29751.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_SetInterval_Oord__class_OatLeastLessThan(z,v,tc_bool),y,u)))*.
% 299.97/300.63 30421[0:SpR:29751.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_SetInterval_Oord__class_OatLeastLessThan(z,v,tc_bool),y,u)),c_False))*.
% 299.97/300.63 30694[0:Rew:243.0,30683.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x)),x)** -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),x)).
% 299.97/300.63 31710[0:Rew:243.0,31699.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x)),x)** -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),x)).
% 299.97/300.63 35402[0:Obv:35393.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(w,x,u),c_COMBK(c_False,tc_bool,u))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))*.
% 299.97/300.63 35672[0:Obv:35666.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OatLeastLessThan(w,x,u))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))*.
% 299.97/300.63 35673[0:Obv:35665.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,x,u),c_COMBK(c_False,tc_bool,u))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))*.
% 299.97/300.63 35947[0:Obv:35937.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(w,x,u),c_COMBK(c_False,tc_bool,u))* hBOOL(hAPP(hAPP(c_lessequals(u),v),x))*.
% 299.97/300.63 36132[0:Obv:36129.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OatLeastLessThan(w,x,u))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))*.
% 299.97/300.63 36133[0:Obv:36128.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,x,u),c_COMBK(c_False,tc_bool,u))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))*.
% 299.97/300.63 36570[0:SSi:36491.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x)),c_COMBK(c_False,tc_bool,u))** -> equal(x,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.63 36947[0:SSi:36823.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),c_False) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))**.
% 299.97/300.63 37057[0:SpR:20352.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x),hAPP(c_fequal(y),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x))**.
% 299.97/300.63 38205[0:SSi:38066.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x)),c_COMBK(c_False,tc_bool,u))** -> equal(w,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.63 38733[0:SSi:38485.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),c_False) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))**.
% 299.97/300.63 40072[0:SpR:24543.0,793.0] || -> hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v_sko__Hoare__Mirabelle__Xescape__2(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),x,w,t_a)),t_a)*.
% 299.97/300.63 40308[0:SpR:24543.0,792.0] || -> hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),x,w,t_a)),t_a)*.
% 299.97/300.63 40509[0:SpR:24543.0,791.0] || -> hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),x,w,t_a)),t_a)*.
% 299.97/300.63 40746[0:SpL:9870.0,113.0] || equal(hAPP(c_Set_Oimage(u,tc_bool,v),w),c_COMBK(c_False,tc_bool,v))** c_Fun_Oinj__on(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),tc_bool,v)* -> equal(w,c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool))*.
% 299.97/300.63 40745[0:SpL:8989.0,113.0] || equal(hAPP(c_Set_Oimage(u,tc_bool,v),w),c_COMBK(c_False,tc_bool,v))** c_Fun_Oinj__on(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),tc_bool,v)* -> equal(w,c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool))*.
% 299.97/300.63 40744[0:SpL:9637.0,113.0] || equal(hAPP(c_Set_Oimage(u,tc_bool,v),w),c_COMBK(c_False,tc_bool,v))** c_Fun_Oinj__on(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),tc_bool,v)* -> equal(w,c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool))*.
% 299.97/300.63 40743[0:SpL:8816.0,113.0] || equal(hAPP(c_Set_Oimage(u,tc_bool,v),w),c_COMBK(c_False,tc_bool,v))** c_Fun_Oinj__on(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),tc_bool,v)* -> equal(w,c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool))*.
% 299.97/300.63 41072[0:SpR:9798.0,131.1] || -> equal(u,v) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool),u,x,y,z),v,c_False,y,z),c_Fun_Ofun__upd(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool),u,x,y,z))**.
% 299.97/300.63 41071[0:SpR:9003.0,131.1] || -> equal(u,v) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool),u,x,y,z),v,c_False,y,z),c_Fun_Ofun__upd(c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool),u,x,y,z))**.
% 299.97/300.63 41070[0:SpR:9514.0,131.1] || -> equal(u,v) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool),u,x,y,z),v,c_False,y,z),c_Fun_Ofun__upd(c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool),u,x,y,z))**.
% 299.97/300.63 41069[0:SpR:8829.0,131.1] || -> equal(u,v) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool),u,x,y,z),v,c_False,y,z),c_Fun_Ofun__upd(c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool),u,x,y,z))**.
% 299.97/300.63 41060[0:SpR:899.0,131.1] || -> equal(u,v) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_COMBK(w,x,y),u,z,x1,x2),v,w,x1,x2),c_Fun_Ofun__upd(c_COMBK(w,x,y),u,z,x1,x2))**.
% 299.97/300.63 41050[0:SpR:19653.0,131.1] || -> equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(v,tc_bool),u,w,x,y),c_Orderings_Otop__class_Otop(tc_bool),c_False,x,y),c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(v,tc_bool),u,w,x,y))**.
% 299.97/300.63 41035[0:SpR:1926.0,131.1] || -> equal(u,v) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u,w,x,y),v,v,x,y),c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u,w,x,y))**.
% 299.97/300.63 41034[0:SpR:992.0,131.1] || -> equal(u,c_False) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u,w,x,y),c_False,v,x,y),c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u,w,x,y))**.
% 299.97/300.63 41033[0:SpR:1123.0,131.1] || -> equal(u,c_False) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u,w,x,y),c_False,c_False,x,y),c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u,w,x,y))**.
% 299.97/300.63 41032[0:SpR:963.0,131.1] || -> equal(u,v) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u,w,x,y),v,v,x,y),c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u,w,x,y))**.
% 299.97/300.63 41031[0:SpR:1094.0,131.1] || -> equal(u,v) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,w,x,y),v,c_False,x,y),c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,w,x,y))**.
% 299.97/300.63 41093[0:Rew:65.1,41086.2] || equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(u,v,w,x,y),z,x1,x,y),c_Fun_Ofun__upd(u,z,x1,x,y))** -> equal(v,z) equal(hAPP(u,v),w).
% 299.97/300.63 41220[0:Res:402.1,496.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* hBOOL(hAPP(hAPP(c_Set_Oinsert(x,u),v),y))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(x,u),w),y))*.
% 299.97/300.63 42152[0:SpR:109.0,747.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_COMBB(c_COMBK(c_COMBK(c_False,tc_bool,v),tc_fun(v,tc_bool),w),x,w,tc_fun(v,tc_bool),y),y,tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v))**.
% 299.97/300.63 42924[0:SpR:794.0,1367.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),w)),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(v)),x)),v)*.
% 299.97/300.63 43142[0:SpL:795.0,284.0] || hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_Set_Oinsert(x,w),y)),w))* -> hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),y),w)).
% 299.97/300.63 43110[0:SpR:795.0,137.1] || c_Fun_Oinj__on(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x),w,y) -> c_Fun_Oinj__on(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_Set_Oinsert(z,w),x)),w,y)*.
% 299.97/300.63 43109[0:SpR:795.0,770.0] || -> equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(u,v),x))),hAPP(c_Set_Oinsert(u,v),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),x)))**.
% 299.97/300.63 43631[0:SpR:13568.1,159.0] || hBOOL(hAPP(u,c_False)) -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x,y),u,hAPP(v,c_False),y,x),c_Fun_Ocomp(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x,y))**.
% 299.97/300.63 43714[0:SpL:356.1,286.1] || hBOOL(c_in(u,v,w)) hBOOL(c_in(u,hAPP(c_Set_Oinsert(x,w),hAPP(c_HOL_Ominus__class_Ominus(y,tc_fun(w,tc_bool)),v)),w))* -> hBOOL(c_in(x,v,w)).
% 299.97/300.63 43650[0:SpR:356.1,1367.0] || -> hBOOL(c_in(u,v,tc_Hoare__Mirabelle_Otriple(w))) c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(w)),x),hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(w)),hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),v)),w)*.
% 299.97/300.63 44573[0:SpL:456.0,182.0] || c_Fun_Oinj__on(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(v,w),x),y,w,tc_fun(z,tc_bool)),z,x1)* -> c_Fun_Oinj__on(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,y,w,tc_fun(z,tc_bool)),z,x1).
% 299.97/300.63 44571[0:SpL:456.0,1485.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(v,w),x),y,w,tc_fun(tc_Hoare__Mirabelle_Otriple(z),tc_bool)),z)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,y,w,tc_fun(tc_Hoare__Mirabelle_Otriple(z),tc_bool)),z).
% 299.97/300.63 44213[0:SpR:456.0,3270.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(w,x),y),z,x,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,z,x,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),v)*.
% 299.97/300.63 44211[0:SpR:456.0,474.1] || hBOOL(c_in(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,w,x,tc_fun(y,tc_bool)),y)) -> hBOOL(c_in(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(z,x),v),w,x,tc_fun(y,tc_bool)),y))*.
% 299.97/300.63 44579[0:Rew:44578.0,42157.1] || -> equal(u,c_COMBK(c_False,tc_bool,v)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_COMBB(w,c_COMBK(x,y,v),y,tc_fun(z,tc_bool),v),v,tc_fun(z,tc_bool)),hAPP(w,x))**.
% 299.97/300.63 44587[0:Rew:44578.0,44227.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w)),x,v,tc_fun(y,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),hAPP(x,w)),hAPP(x,u)))*.
% 299.97/300.63 44640[0:SpR:44578.0,456.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w)),x,v,tc_fun(y,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),hAPP(x,u)),hAPP(x,w)))*.
% 299.97/300.63 44853[0:SpL:46.0,44668.0] || equal(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oimage(x,y,v),c_False)),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oimage(c_COMBB(u,x,v,w,y),y,w),tc_bool),c_False)**.
% 299.97/300.63 44781[0:SpL:94.1,44668.0] || equal(hAPP(c_Set_Oimage(u,v,w),c_False),c_False) -> hBOOL(c_in(x,c_False,v)) equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oimage(c_Fun_Ofun__upd(u,x,y,v,w),v,w),tc_bool),c_False)**.
% 299.97/300.63 45285[0:SpR:12550.0,87.2] || c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u,v,c_Orderings_Otop__class_Otop(tc_bool),w,x) -> hBOOL(c_in(y,v,w)) c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u,hAPP(c_Set_Oinsert(y,w),v),y,w,x)*.
% 299.97/300.63 45880[0:Res:470.2,57.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* hBOOL(c_in(x,w,u))* c_Finite__Set_Ofinite(w,u) -> c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(x,u),v),u)*.
% 299.97/300.63 45871[0:Res:470.2,530.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w))* hBOOL(c_in(x,w,tc_Hoare__Mirabelle_Otriple(u))) -> c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(u)),v),u)*.
% 299.97/300.63 46025[0:Res:513.1,57.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(x,u,y),w),y)* -> c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(x,u,y),v),y)*.
% 299.97/300.63 46526[0:SpL:104.2,7112.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(c_in(x,c_SetInterval_Oord__class_OatLeastLessThan(w,y,u),u))* -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastLessThan(v,y,u),x))*.
% 299.97/300.63 46520[0:SpL:104.2,3223.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastLessThan(w,x,u),y))* -> hBOOL(c_in(y,c_SetInterval_Oord__class_OatLeastLessThan(v,x,u),u))*.
% 299.97/300.63 46630[0:Res:2707.1,814.0] || hBOOL(c_in(c_Hoare__Mirabelle_Otriple_Otriple(u,c_Option_Othe(c_Com_Obody(v),tc_Com_Ocom),w,x),y,tc_Hoare__Mirabelle_Otriple(x))) -> c_Hoare__Mirabelle_Ohoare__derivs(y,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(x)),c_Hoare__Mirabelle_Otriple_Otriple(u,c_Com_Ocom_OBODY(v),w,x)),x)*.
% 299.97/300.63 47706[0:Obv:47705.3] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x))* hBOOL(c_in(y,w,x))* c_Fun_Oinj__on(c_SetInterval_Oord__class_OgreaterThanAtMost(z,z,u),w,x,x1)* -> equal(v,y)*.
% 299.97/300.63 47708[0:Obv:47707.3] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x))* hBOOL(c_in(y,w,x))* c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastLessThan(z,z,u),w,x,x1)* -> equal(v,y)*.
% 299.97/300.63 47710[0:Obv:47709.2] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,v,w))* c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastAtMost(y,c_False,tc_bool),v,w,z)* -> equal(y,c_False) equal(u,x)*.
% 299.97/300.63 48781[0:SpL:14531.0,460.0] || equal(hAPP(u,hAPP(v,w)),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,u),w),hAPP(hAPP(x,c_HOL_Ominus__class_Ominus(c_False,tc_bool)),w))*.
% 299.97/300.63 48738[0:SpL:14872.0,460.0] || equal(hAPP(u,v),hAPP(w,v))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,c_HOL_Ominus__class_Ominus(v,tc_bool),y,z)* -> equal(hAPP(hAPP(x,u),c_False),hAPP(hAPP(x,w),c_False))*.
% 299.97/300.63 48474[0:SpL:14632.0,460.0] || equal(hAPP(u,c_False),hAPP(v,c_False)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_HOL_Ominus__class_Ominus(x,tc_bool),y,z)* -> equal(hAPP(hAPP(w,u),x),hAPP(hAPP(w,v),x))*.
% 299.97/300.63 48473[0:SpL:14531.0,460.0] || equal(hAPP(u,c_False),hAPP(v,c_False)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_HOL_Ominus__class_Ominus(c_False,tc_bool),x,y)* -> equal(hAPP(hAPP(w,u),z),hAPP(hAPP(w,v),z))*.
% 299.97/300.63 49118[2:Res:425.2,47875.1] class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(x,y,u)),c_False)** -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)).
% 299.97/300.63 49532[0:SpR:294.1,757.0] || hBOOL(c_in(u,v,w)) -> equal(hAPP(c_Set_Oinsert(u,x),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_fequal(x),w,tc_fun(x,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_fequal(x),w,tc_fun(x,tc_bool)))**.
% 299.97/300.63 50596[2:SpL:50431.1,352.0] || hBOOL(u) hBOOL(hAPP(c_False,v)) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),y,tc_fun(z,tc_bool)),v))*.
% 299.97/300.63 50558[2:SpR:50431.1,265.1] || hBOOL(u) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),x,tc_fun(y,tc_bool))))*.
% 299.97/300.63 50557[2:SpR:50431.1,435.1] || hBOOL(u) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),x,tc_fun(y,tc_bool))),c_False))*.
% 299.97/300.63 50618[2:Obv:50617.3] || hBOOL(u) hBOOL(c_in(v,w,x))* hBOOL(c_in(y,w,x))* c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),w,x,z)* -> equal(v,y)*.
% 299.97/300.63 50702[0:Rew:5294.1,50668.1] class_Orderings_Oorder(u) || equal(hAPP(c_Set_Oimage(v,u,w),x),c_COMBK(c_False,tc_bool,w))** c_Fun_Oinj__on(v,x,u,w) -> equal(x,c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u))*.
% 299.97/300.63 50703[0:Rew:5162.1,50667.1] class_Orderings_Oorder(u) || equal(hAPP(c_Set_Oimage(v,u,w),x),c_COMBK(c_False,tc_bool,w))** c_Fun_Oinj__on(v,x,u,w) -> equal(x,c_SetInterval_Oord__class_OatLeastLessThan(y,y,u))*.
% 299.97/300.63 50720[2:SpR:50419.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 299.97/300.63 50719[2:SpR:50419.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_False))*.
% 299.97/300.63 53054[0:SSi:53013.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),v))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.63 53446[2:SpL:405.0,53092.0] || hBOOL(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),y)))* equal(hAPP(c_Set_Oinsert(hAPP(u,x),w),hAPP(c_Set_Oimage(u,v,w),y)),c_False)** -> .
% 299.97/300.63 53315[2:SpL:46.0,53092.0] || hBOOL(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oimage(x,y,v),z)))* equal(hAPP(c_Set_Oimage(c_COMBB(u,x,v,w,y),y,w),z),c_False)** -> .
% 299.97/300.63 53311[2:SpL:46.0,53092.0] || hBOOL(hAPP(c_Set_Oimage(c_COMBB(u,v,w,x,y),y,x),z))* equal(hAPP(c_Set_Oimage(u,w,x),hAPP(c_Set_Oimage(v,y,w),z)),c_False)** -> .
% 299.97/300.63 53310[2:SpL:405.0,53092.0] || hBOOL(hAPP(c_Set_Oinsert(hAPP(u,v),w),hAPP(c_Set_Oimage(u,x,w),y)))* equal(hAPP(c_Set_Oimage(u,x,w),hAPP(c_Set_Oinsert(v,x),y)),c_False)** -> .
% 299.97/300.63 54086[0:SSi:54048.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w),c_False)** -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)).
% 299.97/300.63 54093[0:SSi:53926.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),c_False) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v))**.
% 299.97/300.63 54094[0:SSi:53917.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),c_False) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v))**.
% 299.97/300.63 54848[0:SSi:54812.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),c_False)** -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w)).
% 299.97/300.63 54864[0:SSi:54687.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),c_False) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w))**.
% 299.97/300.63 54865[0:SSi:54678.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),c_False) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w))**.
% 299.97/300.63 56428[0:SpR:515.0,3816.1] || hBOOL(c_in(u,hAPP(c_Set_Oimage(v,w,x),y),x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(v,w,x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),z),y)),u))*.
% 299.97/300.63 56416[0:SpR:515.0,3804.1] || hBOOL(c_in(u,hAPP(c_Set_Oimage(v,w,x),y),x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(v,w,x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),y),z)),u))*.
% 299.97/300.63 56500[0:Rew:515.0,56427.0] || -> equal(hAPP(c_Set_Oimage(u,v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),y)),hAPP(c_Set_Oimage(u,v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),y),x)))*.
% 299.97/300.63 57797[0:Obv:57643.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,c_Fun_Ocomp(y,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(v,z)),w,w,w)),z),hAPP(hAPP(u,y),z))**.
% 299.97/300.63 57989[0:Res:409.0,287.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(y,u)),hAPP(c_Set_Oinsert(z,x),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,y,w,tc_fun(x,tc_bool)))))*.
% 299.97/300.63 58440[0:SpR:58351.0,405.0] || -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(u,v),x)),hAPP(c_Set_Oinsert(u,w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),x)))*.
% 299.97/300.63 58557[0:Obv:58532.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,c_Fun_Ocomp(y,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(v,z)),w,w,w)),z),hAPP(hAPP(u,y),z))**.
% 299.97/300.63 58749[0:SpL:54071.0,461.0] || equal(hAPP(u,v),v) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),x)),y,z)* -> equal(hAPP(hAPP(w,u),v),v)**.
% 299.97/300.63 59137[0:SpL:54074.0,461.0] || equal(hAPP(u,v),v) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),v)),y,z)* -> equal(hAPP(hAPP(w,u),v),v)**.
% 299.97/300.63 59402[0:SpL:54075.0,461.0] || equal(hAPP(u,v),v) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),v)),y,z)* -> equal(hAPP(hAPP(w,u),v),v)**.
% 299.97/300.63 59853[0:SpL:54831.0,461.0] || equal(hAPP(u,v),v) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),x)),y,z)* -> equal(hAPP(hAPP(w,u),v),v)**.
% 299.97/300.63 61609[0:SpL:61339.1,461.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(hAPP(v,w),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),w),w)**.
% 299.97/300.63 61588[0:SpL:61339.1,461.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(hAPP(v,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),x,y)* -> equal(hAPP(hAPP(w,v),z),z)**.
% 299.97/300.63 64048[0:SpR:63990.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,u)))*.
% 299.97/300.63 64047[0:SpR:63990.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.63 69305[0:SpR:58437.0,131.1] || -> equal(u,v) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u,w,x,y),v,v,x,y),c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u,w,x,y))**.
% 299.97/300.63 70308[2:SpL:818.1,49156.0] || hBOOL(c_in(u,v,w)) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,v_x,w,t_a),w,t_a),v),v_x)),y),c_False)** -> .
% 299.97/300.63 70307[2:SpL:818.1,49152.0] || hBOOL(c_in(u,v,w)) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(y,u,v_x,w,t_a),w,t_a),v),v_x)),c_False)** -> .
% 299.97/300.63 70253[0:SpR:818.1,26483.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,v_x,w,t_a),w,t_a),v),v_x),tc_bool),y)))*.
% 299.97/300.63 70237[0:SpR:818.1,26483.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,hAPP(hAPP(c_Set_Oinsert(v_x,t_a),y),v_x),w,tc_bool),w,tc_bool),v)))*.
% 299.97/300.63 70213[0:SpR:818.1,8390.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(z,u,x1,w,x),w,x),v)),x1))*.
% 299.97/300.63 70698[0:MRR:70615.3,70615.5,1061.0,1152.1] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(c_in(x,hAPP(c_fequal(u),w),u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x))*.
% 299.97/300.63 71310[2:SSi:71293.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),v))*.
% 299.97/300.63 74665[2:SpL:818.1,73732.0] || hBOOL(c_in(u,v,w)) equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,v_x,w,t_a),w,t_a),v),v_x)),c_False)** -> .
% 299.97/300.63 74735[0:SpR:818.1,73754.0] || hBOOL(c_in(u,v,w)) -> equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,v_x,w,t_a),w,t_a),v),v_x),c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))**.
% 299.97/300.63 76969[0:Res:716.0,843.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),c_Hoare__Mirabelle_Otriple_Otriple(w,x,y,v)),v) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),c_Hoare__Mirabelle_Otriple_Otriple(w,c_Com_Ocom_OSemi(c_Com_Ocom_OSKIP,x),y,v)),v)*.
% 299.97/300.63 77105[0:SpL:58783.0,352.0] || hBOOL(u) hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w,tc_fun(x,tc_bool)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(u,tc_bool),y))))*.
% 299.97/300.63 77081[0:SpR:818.1,58783.0] || hBOOL(c_in(u,v,w)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(y,u,x,w,tc_bool),w,tc_bool),v))),x)**.
% 299.97/300.63 77343[0:SpR:818.1,59886.0] || hBOOL(c_in(u,v,w)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(y,u,x,w,tc_bool),w,tc_bool),v))),x)**.
% 299.97/300.63 78656[0:SpR:12596.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w,x,y),c_Orderings_Otop__class_Otop(tc_bool),hAPP(u,v),y,x),c_Fun_Ocomp(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w,x,y))**.
% 299.97/300.63 78811[0:SpR:24608.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x,y),z,hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),y,x),c_Fun_Ocomp(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x,y))**.
% 299.97/300.63 79752[0:SpL:5278.2,78858.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Orderings_Otop__class_Otop(u),c_False) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),c_False)** -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(u),tc_bool)).
% 299.97/300.63 79751[0:SpL:5147.2,78858.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Orderings_Otop__class_Otop(u),c_False) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),c_False)** -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(u),tc_bool)).
% 299.97/300.63 79729[0:SpL:5277.2,78858.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Orderings_Obot__class_Obot(u),c_False) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),c_False)** -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(u),tc_bool)).
% 299.97/300.63 79728[0:SpL:5146.2,78858.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Orderings_Obot__class_Obot(u),c_False) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),c_False)** -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(u),tc_bool)).
% 299.97/300.63 80027[0:Rew:80024.1,79762.2] || equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u),c_False) equal(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.63 80416[0:Res:29.2,79861.0] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_False))* equal(hAPP(c_lessequals(u),v),c_False) -> equal(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.63 80415[0:Res:28.2,79861.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_False))* equal(hAPP(c_lessequals(u),v),c_False) -> equal(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.63 80293[0:SpL:149.0,79861.0] || hBOOL(hAPP(u,hAPP(v,c_False))) equal(c_COMBB(u,v,w,x,y),c_False)** -> equal(c_COMBB(u,v,w,x,y),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.63 80292[0:SpL:424.0,79861.0] || hBOOL(hAPP(u,hAPP(v,c_False))) equal(c_Fun_Ocomp(u,v,w,x,y),c_False)** -> equal(c_Fun_Ocomp(u,v,w,x,y),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.63 80271[0:SpL:167.1,79861.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_False),v))* equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_False) -> equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.63 80270[0:SpL:168.1,79861.0] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_False),v))* equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_False) -> equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.63 80268[0:SpL:1597.1,79861.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,u),v))* equal(hAPP(c_fequal(u),v),c_False) -> equal(hAPP(c_fequal(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.63 80266[0:SpL:342.1,79861.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_False),v))* equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_False) -> equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.63 80265[0:SpL:343.1,79861.0] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_False),v))* equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_False) -> equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.63 80472[0:Rew:2578.1,80224.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,u),v))* equal(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_False)** -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.63 80219[0:SpL:2578.1,79861.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_False))* equal(hAPP(c_fequal(u),v),c_False) -> equal(hAPP(c_fequal(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.63 81060[0:SpL:12371.2,352.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(v) hBOOL(c_in(c_Orderings_Obot__class_Obot(u),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.63 81315[0:SpL:14438.2,352.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(v) hBOOL(c_in(c_Orderings_Otop__class_Otop(u),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Olower__semilattice__class_Oinf(u),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.63 81641[0:SpR:613.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x))),hAPP(hAPP(c_Set_Oinsert(y,z),c_Set_Oinsert(w,v)),hAPP(c_Set_Oinsert(u,v),x))))*.
% 299.97/300.63 81885[0:SSi:81846.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Set_Oinsert(u,v),w),x)),hAPP(w,x)))* -> equal(hAPP(hAPP(c_Set_Oinsert(u,v),w),x),hAPP(w,x)).
% 299.97/300.63 82047[0:SSi:82013.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Set_Oinsert(u,v),c_HOL_Ominus__class_Ominus(w,tc_bool)),c_False)),w))* -> equal(hAPP(hAPP(c_Set_Oinsert(u,v),c_HOL_Ominus__class_Ominus(w,tc_bool)),c_False),w).
% 299.97/300.63 82147[0:SpL:82115.0,331.1] || hBOOL(c_in(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u,v)) hBOOL(c_in(w,c_False,x)) -> hBOOL(c_in(w,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(x,tc_bool)),x))*.
% 299.97/300.63 82143[0:SpL:82115.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)))*.
% 299.97/300.63 83043[2:SpL:818.1,49246.0] || hBOOL(c_in(u,v,w)) equal(c_in(x,hAPP(c_Set_Oinsert(y,z),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x1,u,x,w,z),w,z),v)),z),c_False)** -> .
% 299.97/300.63 83438[0:SpR:818.1,22323.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(x,y,z),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x1,u,x2,w,y),w,y),v)),hAPP(x,x2)))*.
% 299.97/300.63 83216[0:SpR:613.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),w,x),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(y,v),z),w),x1)),hAPP(c_Set_Oinsert(y,v),hAPP(c_Set_Oinsert(u,v),z))))*.
% 299.97/300.63 83531[0:SpR:818.1,83096.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_bool),y,z),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x1,u,x,w,y),w,y),v)),c_False))*.
% 299.97/300.63 83692[0:SpR:818.1,83409.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_bool),y,z),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x1,u,c_False,w,y),w,y),v)),x))*.
% 299.97/300.63 83723[0:SpR:21031.1,361.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v)) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),u),w))*.
% 299.97/300.63 85288[0:MRR:85287.3,8779.2] class_Orderings_Obot(u) class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> equal(c_SetInterval_Oord__class_OatLeastLessThan(w,v,u),c_COMBK(c_False,tc_bool,u))*.
% 299.97/300.63 85803[0:Rew:708.0,85488.4] class_Orderings_Otop(u) class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u))*.
% 299.97/300.63 86139[0:MRR:86138.3,8934.2] class_Orderings_Obot(u) class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,v,u),c_COMBK(c_False,tc_bool,u))*.
% 299.97/300.63 86605[0:MRR:86604.4,8934.2] class_Orderings_Otop(u) class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),c_COMBK(c_False,tc_bool,u))*.
% 299.97/300.63 86622[0:SpR:86619.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 299.97/300.63 86621[0:SpR:86619.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_False))*.
% 299.97/300.63 86685[0:SpR:27005.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y))* -> hBOOL(c_in(c_COMBK(c_False,tc_bool,v),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),y,z),x),z))*.
% 299.97/300.63 87412[0:Res:1.2,86811.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* hBOOL(w) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x))))*.
% 299.97/300.63 87411[0:Res:2.2,86811.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* hBOOL(w) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v))))*.
% 299.97/300.63 87386[0:Res:171.2,86811.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(w) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x))))*.
% 299.97/300.63 87385[0:Res:172.2,86811.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(w) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v))))*.
% 299.97/300.63 87371[0:Res:184.2,86811.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),v)))*.
% 299.97/300.63 87370[0:Res:185.2,86811.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),v)))*.
% 299.97/300.63 87342[0:Res:478.2,86811.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)))*.
% 299.97/300.63 87341[0:Res:479.2,86811.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v)))*.
% 299.97/300.63 87323[0:Res:265.1,86811.0] || hBOOL(c_in(u,v,w))* hBOOL(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,x,w,tc_fun(y,tc_bool)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(y,tc_bool)),hAPP(x,u))))*.
% 299.97/300.63 87322[0:Res:435.1,86811.0] || hBOOL(c_in(u,v,w))* hBOOL(hAPP(x,u))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,x,w,tc_fun(y,tc_bool)))))*.
% 299.97/300.63 87319[0:Res:412.1,86811.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* hBOOL(hAPP(c_Set_Oinsert(x,u),w))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),v)))*.
% 299.97/300.63 87172[0:SpL:772.1,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)) hBOOL(hAPP(c_Set_Oinsert(v,u),hAPP(c_fequal(u),w)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OInf__class_OInf(u))).
% 299.97/300.63 87155[0:SpL:774.1,86811.0] || hBOOL(u) hBOOL(hAPP(c_fequal(v),w)) -> hBOOL(c_in(w,u,v)) hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(w,v),u),tc_fun(v,tc_bool))))*.
% 299.97/300.63 87147[0:SpL:773.1,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)) hBOOL(hAPP(c_Set_Oinsert(v,u),hAPP(c_fequal(u),w)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Complete__Lattice_OSup__class_OSup(u))).
% 299.97/300.63 87043[0:SpL:125.1,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),w)))* hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(u),w)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v))).
% 299.97/300.63 87042[0:SpL:276.1,86811.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),w)))* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(u),w)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v))).
% 299.97/300.63 86901[0:SpL:249.0,86811.0] || hBOOL(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w)) hBOOL(w) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),tc_fun(v,tc_bool))))*.
% 299.97/300.63 87728[0:Obv:86962.1] || hBOOL(c_in(u,v,w))* hBOOL(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,x,w,tc_fun(y,tc_bool)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),hAPP(x,u))))*.
% 299.97/300.63 88594[0:SpL:22632.0,78858.0] || equal(hAPP(c_fequal(u),hAPP(v,w)),c_False)** equal(hAPP(c_fequal(x),w),c_False) -> equal(hAPP(c_fequal(x),w),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oimage(v,x,u),tc_bool))*.
% 299.97/300.63 88545[0:SpR:22632.0,361.1] || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> hBOOL(c_in(hAPP(c_fequal(y),hAPP(z,v)),hAPP(c_Set_Oimage(c_Set_Oimage(z,u,y),x,x1),w),x1))*.
% 299.97/300.63 88628[0:MRR:88540.1,70064.0] class_OrderedGroup_Ocomm__monoid__add(u) || -> equal(c_Finite__Set_Osetsum(v,hAPP(c_fequal(w),hAPP(x,y)),w,u),c_Finite__Set_Osetsum(c_Fun_Ocomp(v,x,w,u,z),hAPP(c_fequal(z),y),z,u))*.
% 299.97/300.63 89563[0:Res:15156.0,352.0] || hBOOL(c_in(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),tc_fun(v,tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(tc_fun(v,tc_bool)),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.63 89540[0:Res:15156.0,56.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),tc_fun(u,tc_bool))),w))*.
% 299.97/300.63 89539[0:Res:15156.0,492.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),tc_fun(u,tc_bool))),w))*.
% 299.97/300.63 89581[0:SSi:89549.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool)),tc_fun(u,tc_bool))))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w)).
% 299.97/300.63 89582[0:SSi:89548.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool)),tc_fun(u,tc_bool))))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)).
% 299.97/300.63 89983[0:SpL:515.0,18905.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(v,w,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),y))),hAPP(c_Set_Oimage(v,w,u),y)))* -> .
% 299.97/300.63 90123[0:SpL:515.0,19117.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(v,w,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),y))),hAPP(c_Set_Oimage(v,w,u),x)))* -> .
% 299.97/300.63 90378[0:SpR:5566.0,4377.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x,y))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),y,z),x),v))*.
% 299.97/300.63 90829[0:SpR:5568.0,4377.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x,y))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),y,z),x),w))*.
% 299.97/300.63 91121[0:SpR:8036.0,4377.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),x,y))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),y,z),x),w))*.
% 299.97/300.63 91407[0:SpL:803.2,89691.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u)))* -> .
% 299.97/300.63 91406[0:SpL:802.2,89691.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u)))* -> .
% 299.97/300.63 91435[0:SpR:8037.0,4377.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),x,y))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),y,z),x),v))*.
% 299.97/300.63 91665[0:SpR:405.0,8786.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),y)),hAPP(c_Set_Oimage(u,v,w),y),tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(w,tc_bool)))**.
% 299.97/300.63 91859[0:SpR:405.0,8941.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),y)),hAPP(c_Set_Oimage(u,v,w),y),tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(w,tc_bool)))**.
% 299.97/300.63 92948[0:Res:24257.0,352.0] || hBOOL(c_in(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),x),y,z))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,c_lessequals(tc_bool),z,tc_fun(x1,tc_bool)),hAPP(u,x)))*.
% 299.97/300.63 92917[0:SpR:795.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),x)),y)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),x),y)))*.
% 299.97/300.63 92915[0:SpR:266.1,24257.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(w,tc_bool)),v),y)),hAPP(hAPP(c_Set_Oinsert(u,w),x),y)))*.
% 299.97/300.63 92721[0:SpR:8037.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),tc_fun(w,tc_bool)),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),y))),v))*.
% 299.97/300.63 92720[0:SpR:8036.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),tc_fun(w,tc_bool)),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),y),v))),v))*.
% 299.97/300.63 92719[0:SpR:5568.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),tc_fun(w,tc_bool)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),v))),v))*.
% 299.97/300.63 92718[0:SpR:5566.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),tc_fun(w,tc_bool)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),y))),v))*.
% 299.97/300.63 92695[0:SpR:2651.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),tc_fun(w,tc_bool)),x),hAPP(c_fequal(u),y))),hAPP(c_Set_Oinsert(y,u),v)))*.
% 299.97/300.63 92686[0:SpR:3333.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(u,v),tc_fun(w,tc_bool)),x),hAPP(c_fequal(v),y))),hAPP(c_Set_Oinsert(y,v),hAPP(c_fequal(v),u))))*.
% 299.97/300.63 92645[0:SpR:341.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),tc_fun(w,tc_bool)),x),y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),v)))*.
% 299.97/300.63 92605[0:SpR:757.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),tc_fun(w,tc_bool)),x),y)),hAPP(c_Set_Oinsert(v,u),y)))*.
% 299.97/300.63 92567[0:SpR:3059.1,24257.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(w,v),tc_fun(x,tc_bool)),y),u)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))))*.
% 299.97/300.63 93171[0:SpL:54506.0,4686.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),u))),c_False))*.
% 299.97/300.63 93022[0:SpR:54506.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),tc_fun(x,tc_bool)),y),w)),w))*.
% 299.97/300.63 93008[0:SpR:54506.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),u)),w,z),v),u))*.
% 299.97/300.63 93210[0:Obv:93193.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),z),hAPP(v,x1)))),x1),x1)**.
% 299.97/300.63 93704[0:SpL:55320.0,4686.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u),y))),c_False))*.
% 299.97/300.63 93555[0:SpR:55320.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),tc_fun(x,tc_bool)),y),v)),v))*.
% 299.97/300.63 93541[0:SpR:55320.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u),y)),w,z),v),u))*.
% 299.97/300.63 93744[0:Obv:93726.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),hAPP(v,z)),x1))),z),z)**.
% 299.97/300.63 94251[0:Res:87830.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_lessequals(u),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.63 94820[0:Res:17248.0,352.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_lessequals(tc_fun(x,tc_bool)),w,tc_fun(y,tc_bool)),hAPP(c_Set_Oinsert(z,x),hAPP(c_Set_Oinsert(x1,x),u))))*.
% 299.97/300.63 94797[0:Res:17248.0,56.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),hAPP(c_Set_Oinsert(w,u),x))),y))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),x),y)).
% 299.97/300.63 94796[0:Res:17248.0,492.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),hAPP(c_Set_Oinsert(w,u),x))),y))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),x),y)).
% 299.97/300.63 94777[0:SpR:405.0,17248.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(v,w,u),x)),hAPP(c_Set_Oinsert(y,u),hAPP(c_Set_Oimage(v,w,u),hAPP(c_Set_Oinsert(z,w),x)))))*.
% 299.97/300.63 94841[0:SSi:94806.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(x,u),hAPP(c_Set_Oinsert(y,u),w))))*.
% 299.97/300.63 94842[0:SSi:94805.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(x,u),hAPP(c_Set_Oinsert(y,u),w))))*.
% 299.97/300.63 95039[0:SpR:410.0,10597.1] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),w),x,v) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),y),w)),x,v)*.
% 299.97/300.63 95020[0:SpR:456.0,10597.1] || c_Hoare__Mirabelle_Ohoare__derivs(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)),y,x) -> c_Hoare__Mirabelle_Ohoare__derivs(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(z,w),u),v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)),y,x)*.
% 299.97/300.63 95249[0:SpR:411.0,10598.1] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),w),x,v) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),y)),x,v)*.
% 299.97/300.63 95878[0:SpR:13635.1,24257.0] || -> hBOOL(c_in(u,v,w)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),tc_fun(x,tc_bool)),y),hAPP(c_fequal(w),u))),v))*.
% 299.97/300.63 95861[0:SpR:13635.1,4377.1] || hBOOL(c_in(hAPP(c_fequal(u),v),w,x))* -> hBOOL(c_in(v,y,u))* hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(y,tc_fun(u,tc_bool)),x,z),w),y))*.
% 299.97/300.63 95949[0:MRR:95906.1,361.0] || c_Fun_Oinj__on(u,v,w,x) -> hBOOL(c_in(hAPP(u,y),hAPP(c_Set_Oimage(u,w,x),v),x))* c_Fun_Oinj__on(u,hAPP(c_Set_Oinsert(y,w),v),w,x)*.
% 299.97/300.63 95952[0:MRR:95939.1,95939.3,49341.2,2744.0] class_OrderedGroup_Opordered__ab__group__add(tc_fun(u,tc_bool)) || equal(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w),x)* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),y)),x))*.
% 299.97/300.63 96081[0:Res:87828.1,446.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u)))* -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u),v).
% 299.97/300.63 96176[0:Res:87846.1,446.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)))* -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),c_False).
% 299.97/300.63 96214[0:SSi:96164.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_False),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),tc_fun(u,tc_bool))))* -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),tc_fun(u,tc_bool)),c_False).
% 299.97/300.63 96241[0:SpR:46.0,23241.1] || c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(u,v,w),x),w)* -> c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(y,z,x1),hAPP(c_Set_Oimage(c_COMBB(x2,u,w,z,v),v,z),x)),x1)*.
% 299.97/300.63 96240[0:SpR:405.0,23241.1] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),w),v)* -> c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(x,y,z),hAPP(c_Set_Oinsert(hAPP(x1,u),y),hAPP(c_Set_Oimage(x1,v,y),w))),z)*.
% 299.97/300.63 96881[0:Res:87827.1,446.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)))* -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u),v).
% 299.97/300.63 96924[0:SSi:96869.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),tc_fun(u,tc_bool))))* -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),tc_fun(u,tc_bool)),v).
% 299.97/300.63 96940[0:Res:13347.0,531.0] || -> equal(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u))),c_COMBK(c_False,tc_bool,u)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),c_False))*.
% 299.97/300.63 97042[0:Res:87839.1,446.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)))* -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u),v).
% 299.97/300.63 97084[0:SSi:97030.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),tc_fun(u,tc_bool))))* -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),tc_fun(u,tc_bool)),v).
% 299.97/300.63 97106[0:SpL:770.0,11219.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_fequal(v),w)),hAPP(c_Set_Oinsert(w,v),u),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))** -> .
% 299.97/300.63 97610[0:Res:24259.0,28275.1] || equal(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x),c_False)** -> equal(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x),hAPP(v,x)).
% 299.97/300.63 97606[0:SpR:22632.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(u),hAPP(v,w))),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_Set_Oimage(v,y,u)),z),hAPP(c_fequal(y),w))))*.
% 299.97/300.63 97589[0:SpR:5293.1,24259.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(u),v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_Set_Oinsert(v,u)),x),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u))))*.
% 299.97/300.63 97588[0:SpR:5161.1,24259.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(u),v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_Set_Oinsert(v,u)),x),c_SetInterval_Oord__class_OatLeastLessThan(y,y,u))))*.
% 299.97/300.63 97543[0:SpR:5278.2,24259.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OInf__class_OInf(u)),w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u))))*.
% 299.97/300.63 97542[0:SpR:5147.2,24259.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OInf__class_OInf(u)),w),c_SetInterval_Oord__class_OatLeastLessThan(x,x,u))))*.
% 299.97/300.63 97527[0:SpR:27005.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool))),x),hAPP(c_Set_Oinsert(y,u),w))))*.
% 299.97/300.63 97516[0:SpR:5277.2,24259.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(u)),w),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u))))*.
% 299.97/300.63 97515[0:SpR:5146.2,24259.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(u)),w),c_SetInterval_Oord__class_OatLeastLessThan(x,x,u))))*.
% 299.97/300.63 97514[0:SpR:21031.1,24259.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool))))*.
% 299.97/300.63 97449[0:SpR:1523.1,24259.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_Set_Oinsert(v,u)),x),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))))*.
% 299.97/300.63 97405[0:SpR:5398.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u)),x),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(w,tc_bool)),y))))*.
% 299.97/300.63 97401[0:SpR:11.1,24259.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y))))*.
% 299.97/300.63 97398[0:SpR:3.1,24259.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y))))*.
% 299.97/300.63 97387[0:SpR:2367.1,24259.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v))))*.
% 299.97/300.63 97386[0:SpR:2281.1,24259.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),v))))*.
% 299.97/300.63 97365[0:SpR:1091.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u))),w),x)))*.
% 299.97/300.63 97356[0:SpR:279.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))),w),x)))*.
% 299.97/300.63 97355[0:SpR:167.1,24259.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w)),y),v)))*.
% 299.97/300.63 97354[0:SpR:168.1,24259.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w)),y),v)))*.
% 299.97/300.63 97352[0:SpR:1597.1,24259.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),hAPP(c_fequal(u),w)),y),v)))*.
% 299.97/300.63 97350[0:SpR:342.1,24259.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w)),y),v)))*.
% 299.97/300.63 97349[0:SpR:343.1,24259.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w)),y),v)))*.
% 299.97/300.63 97347[0:SpR:1119.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w)),x),c_COMBK(c_False,tc_bool,u))))*.
% 299.97/300.63 97336[0:SpR:5527.2,24259.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w)),x),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.63 97333[0:SpR:5674.2,24259.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u))),w),x)))*.
% 299.97/300.63 97332[0:SpR:5789.2,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u))),w),x)))*.
% 299.97/300.63 97331[0:SpR:5279.1,24259.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v)),x),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u))))*.
% 299.97/300.63 97330[0:SpR:5148.1,24259.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v)),x),c_SetInterval_Oord__class_OatLeastLessThan(y,y,u))))*.
% 299.97/300.63 97329[0:SpR:280.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w)),x),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))))*.
% 299.97/300.63 97313[0:SpR:5276.1,24259.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u))),y),v)))*.
% 299.97/300.63 97312[0:SpR:5145.1,24259.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,u))),y),v)))*.
% 299.97/300.63 97302[0:SpR:5441.2,24259.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u))),w),x)))*.
% 299.97/300.63 97301[0:SpR:5861.2,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u))),w),x)))*.
% 299.97/300.63 97299[0:SpR:5371.2,24259.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w)),x),c_Orderings_Otop__class_Otop(u))))*.
% 299.97/300.63 97267[0:SpR:1597.1,24259.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_fequal(u),v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)),y),v)))*.
% 299.97/300.63 97266[0:SpR:2578.1,24259.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_fequal(u),v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),y),w)))*.
% 299.97/300.63 97265[0:SpR:2594.1,24259.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)),y),v)))*.
% 299.97/300.63 97262[0:SpR:2578.1,24259.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),hAPP(c_fequal(u),v)),y),w)))*.
% 299.97/300.63 98116[0:SpR:22632.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(u),hAPP(v,w))),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),c_Set_Oimage(v,z,u)),hAPP(c_fequal(z),w))))*.
% 299.97/300.63 98099[0:SpR:5293.1,24260.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(u),v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),c_Set_Oinsert(v,u)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u))))*.
% 299.97/300.63 98098[0:SpR:5161.1,24260.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(u),v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),c_Set_Oinsert(v,u)),c_SetInterval_Oord__class_OatLeastLessThan(y,y,u))))*.
% 299.97/300.63 98053[0:SpR:5278.2,24260.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OInf__class_OInf(u)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u))))*.
% 299.97/300.63 98052[0:SpR:5147.2,24260.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OInf__class_OInf(u)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,u))))*.
% 299.97/300.63 98037[0:SpR:27005.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_HOL_Ominus__class_Ominus(x,tc_fun(u,tc_bool))),hAPP(c_Set_Oinsert(y,u),x))))*.
% 299.97/300.63 98026[0:SpR:5277.2,24260.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(u)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u))))*.
% 299.97/300.63 98025[0:SpR:5146.2,24260.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(u)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,u))))*.
% 299.97/300.63 98024[0:SpR:21031.1,24260.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool))))*.
% 299.97/300.63 97959[0:SpR:1523.1,24260.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),c_Set_Oinsert(v,u)),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u))))*.
% 299.97/300.63 97915[0:SpR:5398.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u)),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(x,tc_bool)),y))))*.
% 299.97/300.63 97911[0:SpR:11.1,24260.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y))))*.
% 299.97/300.63 97908[0:SpR:3.1,24260.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y))))*.
% 299.97/300.63 97897[0:SpR:2367.1,24260.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v))))*.
% 299.97/300.63 97896[0:SpR:2281.1,24260.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),v))))*.
% 299.97/300.63 97875[0:SpR:1091.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u))),x)))*.
% 299.97/300.63 97866[0:SpR:279.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))),x)))*.
% 299.97/300.63 97865[0:SpR:167.1,24260.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w)),v)))*.
% 299.97/300.63 97864[0:SpR:168.1,24260.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w)),v)))*.
% 299.97/300.63 97862[0:SpR:1597.1,24260.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),hAPP(c_fequal(u),w)),v)))*.
% 299.97/300.63 97860[0:SpR:342.1,24260.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w)),v)))*.
% 299.97/300.63 97859[0:SpR:343.1,24260.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w)),v)))*.
% 299.97/300.63 97857[0:SpR:1119.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x)),c_COMBK(c_False,tc_bool,u))))*.
% 299.97/300.63 97846[0:SpR:5527.2,24260.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x)),c_Orderings_Obot__class_Obot(u))))*.
% 299.97/300.63 97843[0:SpR:5674.2,24260.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u))),x)))*.
% 299.97/300.63 97842[0:SpR:5789.2,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u))),x)))*.
% 299.97/300.63 97841[0:SpR:5279.1,24260.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u))))*.
% 299.97/300.63 97840[0:SpR:5148.1,24260.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v)),c_SetInterval_Oord__class_OatLeastLessThan(y,y,u))))*.
% 299.97/300.63 97839[0:SpR:280.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))))*.
% 299.97/300.63 97823[0:SpR:5276.1,24260.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u))),v)))*.
% 299.97/300.63 97822[0:SpR:5145.1,24260.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,y,u))),v)))*.
% 299.97/300.63 97812[0:SpR:5441.2,24260.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u))),x)))*.
% 299.97/300.63 97811[0:SpR:5861.2,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u))),x)))*.
% 299.97/300.63 97809[0:SpR:5371.2,24260.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x)),c_Orderings_Otop__class_Otop(u))))*.
% 299.97/300.63 97777[0:SpR:1597.1,24260.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_fequal(u),v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)),v)))*.
% 299.97/300.63 97776[0:SpR:2578.1,24260.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_fequal(u),v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),w)))*.
% 299.97/300.63 97775[0:SpR:2594.1,24260.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)),v)))*.
% 299.97/300.63 97772[0:SpR:2578.1,24260.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),hAPP(c_fequal(u),v)),w)))*.
% 299.97/300.63 97702[0:SpR:456.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,v,w,tc_fun(x,tc_bool)),y)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(z,w),u),v,w,tc_fun(x,tc_bool)),y)))*.
% 299.97/300.63 98172[0:SSi:97724.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),v),w)),hAPP(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(x,tc_fun(u,tc_bool)),v)),w)))*.
% 299.97/300.63 98225[0:Res:5045.2,79861.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_False))* equal(hAPP(c_lessequals(u),v),c_False) -> equal(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 299.97/300.63 98331[0:Res:533.1,5990.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),c_False)) -> hBOOL(c_in(v,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v))),u))*.
% 299.97/300.63 98476[0:SpR:12203.2,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,w),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),u),x),v),y)),w))*.
% 299.97/300.63 98599[0:SpR:64085.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),hAPP(c_Set_Oinsert(w,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool)))))*.
% 299.97/300.63 98598[0:SpR:64085.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool)))))*.
% 299.97/300.63 98588[0:SpR:64085.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),v,w))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v),x))*.
% 299.97/300.63 98666[0:SpL:326.1,12274.0] || hBOOL(c_in(u,v,w))* c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(x,tc_bool)),hAPP(c_Set_Oimage(y,w,tc_fun(x,tc_bool)),v)),x)* -> c_Finite__Set_Ofinite(hAPP(y,u),x)*.
% 299.97/300.63 98664[0:SpL:410.0,12274.0] || c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_fun(u,tc_bool),tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_fun(u,tc_bool)),x))),u)* -> c_Finite__Set_Ofinite(w,u).
% 299.97/300.63 98775[0:SpR:12493.2,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,w),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),u),x),v),y)),w))*.
% 299.97/300.63 98865[0:SpR:92404.0,361.1] || hBOOL(c_in(hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False)),v_x),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v_x,tc_bool),w,x),v),x))*.
% 299.97/300.63 98917[0:MRR:98910.1,49337.2] class_OrderedGroup_Opordered__ab__group__add(tc_bool) || equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_bool),v),c_False)** -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False)),v_x)),v_x))*.
% 299.97/300.63 98922[0:SpR:92438.0,361.1] || hBOOL(c_in(hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v_x)),v_x),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v_x,tc_bool),w,x),v),x))*.
% 299.97/300.63 98974[0:MRR:98967.1,49337.2] class_OrderedGroup_Opordered__ab__group__add(tc_bool) || equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_bool),v),c_False)** -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v_x)),v_x)),v_x))*.
% 299.97/300.63 98979[0:SpR:92468.0,361.1] || hBOOL(c_in(hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x)),v_x),v,w))* -> hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(v_x,tc_bool),w,x),v),x))*.
% 299.97/300.63 99031[0:MRR:99024.1,49337.2] class_OrderedGroup_Opordered__ab__group__add(tc_bool) || equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_bool),v),c_False)** -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Set_Oinsert(w,t_a),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x)),v_x)),v_x))*.
% 299.97/300.63 100332[0:Res:87811.2,166.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Lattices_Olower__semilattice(v) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v))**.
% 299.97/300.63 100477[0:Res:100450.1,1141.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(u,v),hAPP(c_lessequals(tc_bool),w)))),c_Orderings_Otop__class_Otop(tc_bool)))* hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_lessequals(tc_bool),w)),c_False)).
% 299.97/300.63 100616[0:Res:87814.2,166.1] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Lattices_Olower__semilattice(v) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v))**.
% 299.97/300.63 100849[0:SpL:100666.1,461.0] || equal(c_False,u) equal(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_HOL_Oord__class_Oless(tc_bool),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),u),u)**.
% 299.97/300.63 101580[0:SpL:803.2,101545.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* equal(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),hAPP(c_fequal(u),w)) -> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),u)*.
% 299.97/300.63 101579[0:SpL:802.2,101545.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* equal(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),hAPP(c_fequal(u),v)) -> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),u)*.
% 299.97/300.63 102115[0:SSi:102086.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(u,tc_bool)),w)),v)** c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),w),u) -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.63 102316[0:SpL:167.1,13885.0] class_Lattices_Olower__semilattice(u) || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),y,tc_fun(x,tc_bool)),x)*.
% 299.97/300.63 102315[0:SpL:168.1,13885.0] class_Lattices_Olattice(u) || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),y,tc_fun(x,tc_bool)),x)*.
% 299.97/300.63 102313[0:SpL:1597.1,13885.0] class_Orderings_Oorder(u) || c_Finite__Set_Ofinite(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),hAPP(c_fequal(u),w),y,tc_fun(x,tc_bool)),x)*.
% 299.97/300.63 102311[0:SpL:342.1,13885.0] class_Lattices_Oupper__semilattice(u) || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y,tc_fun(x,tc_bool)),x)*.
% 299.97/300.63 102310[0:SpL:343.1,13885.0] class_Lattices_Olattice(u) || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y,tc_fun(x,tc_bool)),x)*.
% 299.97/300.63 102274[0:SpL:5276.1,13885.0] class_Orderings_Oorder(u) || c_Finite__Set_Ofinite(v,w)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u)),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.63 102273[0:SpL:5145.1,13885.0] class_Orderings_Oorder(u) || c_Finite__Set_Ofinite(v,w)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,y,u)),x,tc_fun(w,tc_bool)),w)*.
% 299.97/300.63 102228[0:SpL:1597.1,13885.0] class_Orderings_Oorder(u) || c_Finite__Set_Ofinite(hAPP(hAPP(c_fequal(u),v),w),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),y,tc_fun(x,tc_bool)),x)*.
% 299.97/300.63 102227[0:SpL:2578.1,13885.0] class_Orderings_Oorder(u) || c_Finite__Set_Ofinite(hAPP(hAPP(c_fequal(u),v),w),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),y,tc_fun(x,tc_bool)),x)*.
% 299.97/300.63 102226[0:SpL:2594.1,13885.0] class_Orderings_Oorder(u) || c_Finite__Set_Ofinite(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),y,tc_fun(x,tc_bool)),x)*.
% 299.97/300.63 102223[0:SpL:2578.1,13885.0] class_Orderings_Oorder(u) || c_Finite__Set_Ofinite(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),hAPP(c_fequal(u),v),y,tc_fun(x,tc_bool)),x)*.
% 299.97/300.63 102810[0:Res:434.2,24826.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,y,x,u),hAPP(y,v),u),hAPP(y,v)))*.
% 299.97/300.63 102804[0:Res:83.3,24826.1] class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(u),w,u),v,u),v))*.
% 299.97/300.63 102996[0:Res:87830.1,25011.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u),w,u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u)))*.
% 299.97/300.63 102987[0:Res:264.2,25011.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(y,v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,y,x,u),u),hAPP(y,v)))*.
% 299.97/300.63 103098[0:SpL:456.0,26331.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(w,x),y),z,x,tc_fun(v,tc_bool))),v)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,z,x,tc_fun(v,tc_bool)),v).
% 299.97/300.63 103149[0:SSi:103120.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,tc_fun(v,tc_bool)),x))),v)* -> c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(v,tc_bool)),x),v).
% 299.97/300.63 103542[0:SSi:103492.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(u,v),tc_fun(w,tc_bool)),hAPP(c_Set_Oinsert(u,v),x))* -> equal(hAPP(c_Set_Oinsert(u,v),x),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(u,v),tc_fun(w,tc_bool))).
% 299.97/300.63 103745[0:SpR:818.1,103531.0] || hBOOL(c_in(u,v,w)) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,y,w,z),w,z),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(y,z),tc_fun(tc_Hoare__Mirabelle_Otriple(x1),tc_bool)),x1)*.
% 299.97/300.63 103928[0:SpR:326.1,3790.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,hAPP(c_fequal(y),hAPP(z,u)),y))* -> hBOOL(c_in(x,hAPP(c_Set_Oimage(z,w,y),v),y))*.
% 299.97/300.63 104103[0:SpR:217.1,15681.1] || c_Fun_Oinj__on(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),v,w) c_Finite__Set_Ofinite(x,v) -> c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(u,v,w),hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(v,tc_bool)),y)),w)*.
% 299.97/300.63 105253[0:SpR:10929.0,22324.0] || -> hBOOL(c_in(hAPP(c_fequal(u),v),hAPP(c_Set_Oimage(c_Set_Oimage(c_COMBK(v,u,w),w,u),x,y),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(z,w),x1),x),x2)),y))*.
% 299.97/300.63 105248[0:SpR:10929.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oimage(c_COMBK(u,v,w),w,v),hAPP(c_Set_Oinsert(x,w),y),hAPP(c_fequal(v),u),z,x1),c_Set_Oimage(c_COMBK(u,v,w),w,v))**.
% 299.97/300.63 105361[0:Rew:105360.0,56528.1] || -> equal(u,c_COMBK(c_False,tc_bool,v)) equal(hAPP(c_Set_Oimage(c_COMBK(w,x,v),v,x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),y)),hAPP(c_fequal(x),w))**.
% 299.97/300.63 105362[0:Rew:105360.0,56530.1] || -> equal(u,c_COMBK(c_False,tc_bool,v)) equal(hAPP(c_Set_Oimage(c_COMBK(w,x,v),v,x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),y),u)),hAPP(c_fequal(x),w))**.
% 299.97/300.63 106703[0:SpR:5228.0,593.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) c_Wellfounded_OwfP(c_COMBK(c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool))*.
% 299.97/300.63 107086[0:Res:5774.1,10618.0] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),x,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(w,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),u).
% 299.97/300.63 107085[0:Res:5774.1,10619.0] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),x,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),u).
% 299.97/300.63 107227[0:Res:5850.1,1473.0] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),x,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),v,u).
% 299.97/300.63 107226[0:Res:5850.1,1485.0] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),x,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),w,u).
% 299.97/300.63 107347[0:Res:171.2,15236.2] class_Lattices_Olower__semilattice(u) class_Orderings_Obot(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.63 107346[0:Res:172.2,15236.2] class_Lattices_Olower__semilattice(u) class_Orderings_Obot(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.63 107615[0:Res:478.2,15248.2] class_Lattices_Oupper__semilattice(u) class_Orderings_Otop(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.63 107614[0:Res:479.2,15248.2] class_Lattices_Oupper__semilattice(u) class_Orderings_Otop(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),c_Orderings_Otop__class_Otop(u))**.
% 299.97/300.63 107959[0:SpL:125.1,17812.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),v)),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(w,u),v))))* -> .
% 299.97/300.63 108118[0:SpL:125.1,17813.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),v)),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(w,u),v))))* -> .
% 299.97/300.63 108464[0:SpL:125.1,17814.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),v)),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(w,u),v))))* -> .
% 299.97/300.63 109304[0:SpL:818.1,108008.0] || hBOOL(c_in(u,v,w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,y,w,tc_bool),w,tc_bool),v))),y))* -> .
% 299.97/300.63 109414[0:SpL:276.1,18885.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),w))),hAPP(c_Complete__Lattice_OSup__class_OSup(u),w)))* -> .
% 299.97/300.63 109503[0:SpL:818.1,108272.0] || hBOOL(c_in(u,v,w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),x),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(y,u,x,w,tc_bool),w,tc_bool),v))))* -> .
% 299.97/300.63 109663[0:SpL:276.1,18886.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),w))),hAPP(c_Complete__Lattice_OSup__class_OSup(u),w)))* -> .
% 299.97/300.63 109941[0:SpL:276.1,18887.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),w))),hAPP(c_Complete__Lattice_OSup__class_OSup(u),w)))* -> .
% 299.97/300.63 110180[0:SpL:79862.1,130.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) equal(hAPP(v,w),hAPP(v,x))* c_Fun_Oinj__on(v,c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),u,y)* -> equal(w,x).
% 299.97/300.63 110197[0:SSi:110135.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)))*.
% 299.97/300.63 110202[0:SSi:110131.1,110131.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),tc_fun(u,tc_bool)),v)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool))**.
% 299.97/300.63 110867[0:SpR:42995.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(u),v),tc_fun(u,tc_bool)),w,x),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(v,u),y),w),z)),c_COMBK(c_False,tc_bool,u)))*.
% 299.97/300.63 110860[0:SpR:42995.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(hAPP(c_fequal(u),x),tc_fun(u,tc_bool))),hAPP(c_Set_Oinsert(x,u),y))))*.
% 299.97/300.63 110955[0:Rew:684.0,110875.0,341.0,110875.0,2651.0,110875.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(u,v),w),tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(u,v),x)),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(u,v),x)))**.
% 299.97/300.63 111403[0:Res:87803.2,25011.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Olinorder(v) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),c_Orderings_Obot__class_Obot(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)))*.
% 299.97/300.63 111631[0:Res:87806.2,25011.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Olinorder(v) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),c_Orderings_Otop__class_Otop(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)))*.
% 299.97/300.63 111670[0:SSi:111588.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)))*.
% 299.97/300.63 111919[0:SSi:111815.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_False) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)),u)),w))*.
% 299.97/300.63 113048[0:SpR:5393.2,22323.0] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y),w),z)),v))*.
% 299.97/300.63 113041[0:SpR:5393.2,24254.0] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y))))*.
% 299.97/300.63 113404[0:SpR:8806.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))),x)))*.
% 299.97/300.63 113403[0:SpR:8806.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))),w),x)))*.
% 299.97/300.63 113400[0:SpR:8806.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v,c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)))**.
% 299.97/300.63 113392[0:SpR:8806.0,361.1] || hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool)),w,y),v),y))*.
% 299.97/300.63 113746[0:SpR:5396.2,22323.0] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v),w),z)),v))*.
% 299.97/300.63 113739[0:SpR:5396.2,24254.0] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v))))*.
% 299.97/300.63 114217[0:SpR:5562.2,22323.0] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y),w),z)),v))*.
% 299.97/300.63 114210[0:SpR:5562.2,24254.0] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y))))*.
% 299.97/300.63 114678[0:SpR:5564.2,22323.0] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),v),w),z)),v))*.
% 299.97/300.63 114671[0:SpR:5564.2,24254.0] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),v))))*.
% 299.97/300.63 115309[0:SpR:8807.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),x)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))))*.
% 299.97/300.63 115308[0:SpR:8807.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),w)),x),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))))*.
% 299.97/300.63 115298[0:SpR:8807.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w)) -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),x),w,y),v),y))*.
% 299.97/300.63 115539[0:SpR:8979.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))),x)))*.
% 299.97/300.63 115538[0:SpR:8979.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))),w),x)))*.
% 299.97/300.63 115535[0:SpR:8979.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v,c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)))**.
% 299.97/300.63 115527[0:SpR:8979.0,361.1] || hBOOL(c_in(u,v,w))* -> hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool)),w,y),v),y))*.
% 299.97/300.63 115767[0:SpR:8980.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),x)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))))*.
% 299.97/300.63 115766[0:SpR:8980.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),w)),x),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))))*.
% 299.97/300.63 115756[0:SpR:8980.0,361.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w)) -> hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),x),w,y),v),y))*.
% 299.97/300.63 2641[0:SpR:757.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),w,hAPP(c_Set_Oinsert(v,u),w),x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)))**.
% 299.97/300.63 4368[0:SpR:2651.0,361.1] || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> hBOOL(c_in(hAPP(c_Set_Oinsert(v,u),y),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),x,z),w),z))*.
% 299.97/300.63 4365[0:SpR:3333.0,361.1] || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> hBOOL(c_in(hAPP(c_Set_Oinsert(v,u),hAPP(c_fequal(u),y)),hAPP(c_Set_Oimage(c_Set_Oinsert(y,u),x,z),w),z))*.
% 299.97/300.63 4349[0:SpR:341.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u),y),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),w,z),v),z))*.
% 299.97/300.63 4332[0:SpR:757.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(hAPP(c_Set_Oinsert(x,y),u),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),hAPP(c_fequal(y),x)),w,z),v),z))*.
% 299.97/300.63 4308[0:SpR:3059.1,361.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))* hBOOL(c_in(u,w,x))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),hAPP(c_Set_Oimage(c_Set_Oinsert(y,v),x,z),w),z))*.
% 299.97/300.63 9556[0:SpR:770.0,613.0] || -> equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(v,tc_bool)),hAPP(c_fequal(v),u)))),hAPP(c_Set_Oinsert(w,v),hAPP(c_Set_Oinsert(u,v),x)))**.
% 299.97/300.63 9550[0:SpR:770.0,1486.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(u)),x)),hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(u)),w)),u)*.
% 299.97/300.63 9541[0:SpR:770.0,3396.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),u))),v)*.
% 299.97/300.63 9540[0:SpR:770.0,3395.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),u))),x),v)*.
% 299.97/300.63 9779[0:Res:8.2,4686.0] class_Ring__and__Field_Oordered__idom(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* equal(v,w) hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_HOL_Oord__class_Oless(u),w)),c_False))*.
% 299.97/300.63 10027[0:Res:4.2,4686.0] class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* equal(w,v) hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_HOL_Oord__class_Oless(u),w)),c_False))*.
% 299.97/300.63 12248[0:SpL:276.1,4686.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),w)))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),c_False))*.
% 299.97/300.63 12317[0:SSi:12259.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),hAPP(c_Set_Oinsert(w,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x)),v)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),v).
% 299.97/300.63 12320[0:SSi:12235.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),hAPP(c_Set_Oinsert(w,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x))),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),v)*.
% 299.97/300.63 12532[0:SpL:125.1,4686.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),w)))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),c_False))*.
% 299.97/300.63 12585[0:SSi:12517.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),v) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),hAPP(c_Set_Oinsert(x,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w)),v)*.
% 299.97/300.63 12586[0:SSi:12506.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),hAPP(c_Set_Oinsert(x,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w)),v)*.
% 299.97/300.63 12705[0:Obv:12685.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,hAPP(c_Set_Oinsert(w,u),hAPP(c_fequal(u),x)),u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)))*.
% 299.97/300.63 12825[0:Obv:12804.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,hAPP(c_Set_Oinsert(w,u),hAPP(c_fequal(u),x)),u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),v))*.
% 299.97/300.63 13070[0:Res:457.2,77.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,u)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),w)),v))* equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),w),v).
% 299.97/300.63 13068[0:Res:516.2,77.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,u)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(c_Complete__Lattice_OSup__class_OSup(u),w)))* equal(v,hAPP(c_Complete__Lattice_OSup__class_OSup(u),w)).
% 299.97/300.63 13320[0:Res:457.2,69.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),w)),v))* equal(v,hAPP(c_Complete__Lattice_OInf__class_OInf(u),w)).
% 299.97/300.63 13318[0:Res:516.2,69.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(c_Complete__Lattice_OSup__class_OSup(u),w)))* equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),w),v).
% 299.97/300.63 13558[0:Res:8.1,147.0] class_Ring__and__Field_Oordered__idom(tc_fun(u,tc_bool)) || hBOOL(c_in(v,w,u))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),x),w))* equal(w,x) hBOOL(c_in(v,x,u))*.
% 299.97/300.63 13672[0:SpL:774.1,4686.0] || hBOOL(u) -> hBOOL(c_in(v,u,w)) hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(v,w),u),tc_fun(w,tc_bool))),c_False))*.
% 299.97/300.63 13909[0:Res:474.1,106.0] || hBOOL(c_in(u,v,w))* c_Finite__Set_Ofinite(hAPP(x,u),y)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),z),v),x,w,tc_fun(y,tc_bool)),y)*.
% 299.97/300.63 13908[0:Res:475.1,106.0] || hBOOL(c_in(u,v,w))* c_Finite__Set_Ofinite(hAPP(x,u),y)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),z),x,w,tc_fun(y,tc_bool)),y)*.
% 299.97/300.63 13905[0:Res:361.1,106.0] || hBOOL(c_in(u,v,w))* c_Finite__Set_Ofinite(hAPP(x,hAPP(y,u)),z)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(y,w,x1),v),x,x1,tc_fun(z,tc_bool)),z)*.
% 299.97/300.63 15158[0:Rew:167.1,15147.2] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(w,v)),hAPP(w,v))** -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(w,u)),v))*.
% 299.97/300.63 15119[0:SpL:9924.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)))*.
% 299.97/300.63 15118[0:SpL:9032.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)))*.
% 299.97/300.63 15115[0:SpL:9690.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)))*.
% 299.97/300.63 15114[0:SpL:8858.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)))*.
% 299.97/300.63 15058[0:SpL:1581.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_fequal(v),w),x)),w))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_fequal(v),x),u)),w))*.
% 299.97/300.63 15040[0:SpL:186.1,503.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(u)),w)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),v)),w))*.
% 299.97/300.63 15023[0:SpL:278.1,503.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(u)),w)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),v)),w))*.
% 299.97/300.63 15018[0:SpL:367.1,503.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Orderings_Obot__class_Obot(u))) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.63 15016[0:SpL:12280.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Orderings_Obot__class_Obot(u))) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.63 15003[0:SpL:19.1,503.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Orderings_Otop__class_Otop(u))) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.63 15001[0:SpL:12562.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Orderings_Otop__class_Otop(u))) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.63 14979[0:SpL:728.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_fequal(v),w)),w))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_COMBC(c_fequal(v),v,v,tc_bool),u)),w))*.
% 299.97/300.63 15426[0:Res:27.2,451.1] class_HOL_Oord(u) class_Lattices_Oupper__semilattice(tc_fun(v,u)) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,u)),w),x))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,u)),w),x),x).
% 299.97/300.63 15425[0:Res:27.2,449.1] class_HOL_Oord(u) class_Lattices_Oupper__semilattice(tc_fun(v,u)) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,u)),w),x))* -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,u)),x),w),x).
% 299.97/300.63 15424[0:Res:27.2,166.1] class_HOL_Oord(u) class_Lattices_Olower__semilattice(tc_fun(v,u)) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,u)),w),x))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,u)),x),w),w).
% 299.97/300.63 15423[0:Res:27.2,164.1] class_HOL_Oord(u) class_Lattices_Olower__semilattice(tc_fun(v,u)) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,u)),w),x))* -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,u)),w),x),w).
% 299.97/300.63 15402[0:Res:27.2,531.0] class_HOL_Oord(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,u)),w),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_lessequals(tc_fun(v,u)),w))))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(v,u)),w),c_False)).
% 299.97/300.63 15527[0:Res:222.3,166.1] class_Orderings_Olinorder(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Finite__Set_Olinorder__class_OMin(w,u)),c_Finite__Set_Olinorder__class_OMin(w,u))**.
% 299.97/300.63 15526[0:Res:222.3,164.1] class_Orderings_Olinorder(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Finite__Set_Olinorder__class_OMin(w,u)),v),c_Finite__Set_Olinorder__class_OMin(w,u))**.
% 299.97/300.63 15523[0:Res:222.3,755.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Finite__Set_Olinorder__class_OMin(w,u),v,u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.63 15505[0:Res:222.3,531.0] class_Orderings_Olinorder(u) || hBOOL(c_in(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_lessequals(u),c_Finite__Set_Olinorder__class_OMin(v,u))),v,u))* c_Finite__Set_Ofinite(v,u) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Finite__Set_Olinorder__class_OMin(v,u)),c_False)).
% 299.97/300.63 15595[0:Res:221.3,451.1] class_Orderings_Olinorder(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Finite__Set_Olinorder__class_OMax(w,u)),c_Finite__Set_Olinorder__class_OMax(w,u))**.
% 299.97/300.63 15594[0:Res:221.3,449.1] class_Orderings_Olinorder(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Finite__Set_Olinorder__class_OMax(w,u)),v),c_Finite__Set_Olinorder__class_OMax(w,u))**.
% 299.97/300.63 15589[0:Res:221.3,755.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Finite__Set_Olinorder__class_OMax(w,u),u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.63 15651[0:SpL:13516.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) hBOOL(hAPP(hAPP(c_lessequals(u),c_False),v)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),v))*.
% 299.97/300.63 15691[0:Res:454.1,107.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oimage(w,x,u),y)),hAPP(c_Set_Oimage(w,x,u),y))** c_Finite__Set_Ofinite(y,x) -> c_Finite__Set_Ofinite(v,u).
% 299.97/300.63 16079[0:Res:434.2,451.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,y,x,u)),hAPP(y,v)),hAPP(y,v))**.
% 299.97/300.63 16078[0:Res:434.2,449.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(y,v)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,y,x,u)),hAPP(y,v))**.
% 299.97/300.63 16073[0:Res:434.2,755.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,y,x,u),hAPP(y,v),u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.63 16049[0:SpR:13516.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_False))*.
% 299.97/300.63 16048[0:SpR:13736.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),w,x))* -> equal(v,c_False) hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.63 16043[0:SpR:13552.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OInf__class_OInf(tc_bool),y,u)),c_False))*.
% 299.97/300.63 16042[0:SpR:12758.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_False))*.
% 299.97/300.63 16041[0:SpR:13539.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_lessequals(tc_bool),c_False)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_False))*.
% 299.97/300.63 16040[0:SpR:12721.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_fequal(tc_bool),c_False)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_False))*.
% 299.97/300.63 16014[0:SpR:12263.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(c_False,tc_bool),v),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v)))*.
% 299.97/300.63 15987[0:SpR:1461.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_fequal(v),w),x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Set_Oinsert(w,v),y,u)),hAPP(c_fequal(v),w)))*.
% 299.97/300.63 15979[0:SpR:2160.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),x,u)),v))*.
% 299.97/300.63 15974[0:SpR:1581.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_fequal(y),z),x,u)),hAPP(hAPP(c_fequal(y),v),z)))*.
% 299.97/300.63 15966[0:SpR:1923.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),y),x,u)),y))*.
% 299.97/300.63 15957[0:SpR:187.1,434.2] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),x,v)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.63 15955[0:SpR:186.1,434.2] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),y,v)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.63 15943[0:SpR:685.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_COMBK(c_False,tc_bool,v),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),y),x,u)),y))*.
% 299.97/300.63 15942[0:SpR:684.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),c_COMBK(c_False,tc_bool,y)),x,u)),v))*.
% 299.97/300.63 15938[0:SpR:278.1,434.2] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),y,v)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.63 15935[0:SpR:277.1,434.2] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),x,v)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.63 15929[0:SpR:683.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(u),x,v)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.63 15928[0:SpR:682.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(u),x,v)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.63 15926[0:SpR:699.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_COMBK(c_False,tc_bool,v),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Set_Oinsert(y,v),x,u)),hAPP(c_fequal(v),y)))*.
% 299.97/300.63 15922[0:SpR:2659.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Set_Oinsert(y,v),x,u)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))))*.
% 299.97/300.63 15920[0:SpR:357.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(u),x,v)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.63 15919[0:SpR:441.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(u),x,v)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.63 15894[0:SpR:728.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_COMBC(c_fequal(y),y,y,tc_bool),x,u)),hAPP(c_fequal(y),v)))*.
% 299.97/300.63 15893[0:SpR:418.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) hBOOL(c_in(w,y,z)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(y,c_Set_Oinsert(v,x),z,u)),w))*.
% 299.97/300.63 16114[0:SpR:15551.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),v))*.
% 299.97/300.63 16338[0:Res:264.2,166.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,y,x,u)),hAPP(y,v)),hAPP(y,v))**.
% 299.97/300.63 16337[0:Res:264.2,164.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(y,v)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,y,x,u)),hAPP(y,v))**.
% 299.97/300.63 16334[0:Res:264.2,755.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(y,v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,y,x,u),u),c_COMBK(c_False,tc_bool,u))** -> .
% 299.97/300.63 16313[0:SpR:13516.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 299.97/300.63 16312[0:SpR:13736.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),w,x))* -> equal(v,c_False) hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 299.97/300.63 16307[0:SpR:13552.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OInf__class_OInf(tc_bool),y,u)))*.
% 299.97/300.63 16306[0:SpR:12758.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 299.97/300.63 16305[0:SpR:13539.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_lessequals(tc_bool),c_False)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 299.97/300.63 16304[0:SpR:12721.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_fequal(tc_bool),c_False)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 299.97/300.63 16278[0:SpR:15551.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 299.97/300.63 16277[0:SpR:12263.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(c_False,tc_bool),v),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),v)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 299.97/300.63 16250[0:SpR:1461.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_fequal(v),w),x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_fequal(v),w)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Set_Oinsert(w,v),y,u)))*.
% 299.97/300.63 16242[0:SpR:2160.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),x,u)))*.
% 299.97/300.63 16237[0:SpR:1581.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_fequal(y),v),z)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_fequal(y),z),x,u)))*.
% 299.97/300.63 16229[0:SpR:1923.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),y),x,u)))*.
% 299.97/300.63 16220[0:SpR:187.1,264.2] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),x,v)))*.
% 299.97/300.63 16218[0:SpR:186.1,264.2] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),y,v)))*.
% 299.97/300.63 16206[0:SpR:685.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_COMBK(c_False,tc_bool,v),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),y),x,u)))*.
% 299.97/300.63 16205[0:SpR:684.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),c_COMBK(c_False,tc_bool,y)),x,u)))*.
% 299.97/300.63 16201[0:SpR:278.1,264.2] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),y,v)))*.
% 299.97/300.63 16198[0:SpR:277.1,264.2] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),x,v)))*.
% 299.97/300.63 16192[0:SpR:683.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(u),x,v)))*.
% 299.97/300.63 16191[0:SpR:682.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(u),x,v)))*.
% 299.97/300.63 16189[0:SpR:699.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_COMBK(c_False,tc_bool,v),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_fequal(v),y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oinsert(y,v),x,u)))*.
% 299.97/300.63 16185[0:SpR:2659.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oinsert(y,v),x,u)))*.
% 299.97/300.63 16183[0:SpR:357.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(u),x,v)))*.
% 299.97/300.63 16182[0:SpR:441.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(u),x,v)))*.
% 299.97/300.63 16157[0:SpR:728.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_fequal(y),v)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_COMBC(c_fequal(y),y,y,tc_bool),x,u)))*.
% 299.97/300.63 16156[0:SpR:418.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) hBOOL(c_in(w,y,z)) -> hBOOL(hAPP(hAPP(c_lessequals(u),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,c_Set_Oinsert(v,x),z,u)))*.
% 299.97/300.63 16374[0:SpR:8799.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool)),x,u)))*.
% 299.97/300.63 16373[0:SpR:8799.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool)),x,u)),v))*.
% 299.97/300.63 16552[0:SpR:8802.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),y),x,u)))*.
% 299.97/300.63 16551[0:SpR:8802.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),y),x,u)),y))*.
% 299.97/300.63 16632[0:SpR:8815.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_fequal(tc_bool),y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oinsert(y,tc_bool),x,u)))*.
% 299.97/300.63 16631[0:SpR:8815.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Set_Oinsert(y,tc_bool),x,u)),hAPP(c_fequal(tc_bool),y)))*.
% 299.97/300.63 16806[0:SpR:8972.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool)),x,u)))*.
% 299.97/300.63 16805[0:SpR:8972.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool)),x,u)),v))*.
% 299.97/300.63 16907[0:SpR:8975.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),y),x,u)))*.
% 299.97/300.63 16906[0:SpR:8975.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),y),x,u)),y))*.
% 299.97/300.63 16991[0:SpR:8988.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_fequal(tc_bool),y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oinsert(y,tc_bool),x,u)))*.
% 299.97/300.63 16990[0:SpR:8988.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Set_Oinsert(y,tc_bool),x,u)),hAPP(c_fequal(tc_bool),y)))*.
% 299.97/300.63 17106[0:Res:412.1,452.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(x,u),w)),hAPP(c_Set_Oinsert(x,u),w))**.
% 299.97/300.63 17129[0:SSi:17112.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(c_Set_Oinsert(x,u),w),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))** -> .
% 299.97/300.63 17278[0:SSi:17262.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),x),hAPP(c_Set_Oinsert(v,u),w))** -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),x)).
% 299.97/300.63 17305[0:SpR:13518.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,v)))*.
% 299.97/300.63 17304[0:SpR:13518.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,v)),c_False))*.
% 299.97/300.63 17324[0:SpR:13522.1,264.2] class_Orderings_Obot(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,v)))*.
% 299.97/300.63 17323[0:SpR:13522.1,434.2] class_Orderings_Obot(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,v)),c_False))*.
% 299.97/300.63 17412[0:Res:172.2,738.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(w,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.63 17411[0:Res:172.2,737.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.63 17436[0:SSi:17403.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* hBOOL(c_in(x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),y),v),u))* -> hBOOL(c_in(x,w,u))*.
% 299.97/300.63 17437[0:SSi:17402.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* c_Fun_Oinj__on(x,w,u,y)* -> c_Fun_Oinj__on(x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),z),v),u,y)*.
% 299.97/300.63 17438[0:SSi:17398.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w))* c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),v),y,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(w,y,u)*.
% 299.97/300.63 17439[0:SSi:17397.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w))* c_Hoare__Mirabelle_Ohoare__derivs(x,w,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),y),v),u)*.
% 299.97/300.63 17566[0:Res:171.2,738.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(w,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.63 17565[0:Res:171.2,737.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.63 17542[0:SpR:125.1,171.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),x))),w))*.
% 299.97/300.63 17588[0:SSi:17557.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* hBOOL(c_in(x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),y),u))* -> hBOOL(c_in(x,w,u))*.
% 299.97/300.63 17589[0:SSi:17556.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* c_Fun_Oinj__on(x,w,u,y)* -> c_Fun_Oinj__on(x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),z),u,y)*.
% 299.97/300.63 17590[0:SSi:17552.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w))* c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),x),y,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(w,y,u)*.
% 299.97/300.63 17591[0:SSi:17551.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w))* c_Hoare__Mirabelle_Ohoare__derivs(x,w,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),y),u)*.
% 299.97/300.63 17681[0:SpR:9620.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool)),x,u)))*.
% 299.97/300.63 17680[0:SpR:9620.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool)),x,u)),v))*.
% 299.97/300.63 17829[0:Res:2.2,739.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> equal(c_SetInterval_Oord__class_OatLeastAtMost(w,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.63 17852[0:SSi:17836.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* hBOOL(c_in(x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),y),v),u))* -> hBOOL(c_in(x,w,u))*.
% 299.97/300.63 17861[0:SpR:9623.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),y),x,u)))*.
% 299.97/300.63 17860[0:SpR:9623.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),y),x,u)),y))*.
% 299.97/300.63 17946[0:SpR:9636.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_fequal(tc_bool),y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oinsert(y,tc_bool),x,u)))*.
% 299.97/300.63 17945[0:SpR:9636.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Set_Oinsert(y,tc_bool),x,u)),hAPP(c_fequal(tc_bool),y)))*.
% 299.97/300.63 18032[0:SpR:9853.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool)),x,u)))*.
% 299.97/300.63 18031[0:SpR:9853.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool)),x,u)),v))*.
% 299.97/300.63 18183[0:Res:1.2,739.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> equal(c_SetInterval_Oord__class_OatLeastAtMost(w,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x),u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.63 18164[0:SpR:125.1,1.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),x))),w))*.
% 299.97/300.63 18202[0:SSi:18190.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* hBOOL(c_in(x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),y),u))* -> hBOOL(c_in(x,w,u))*.
% 299.97/300.63 18211[0:SpR:9856.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),y),x,u)))*.
% 299.97/300.63 18210[0:SpR:9856.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),y),x,u)),y))*.
% 299.97/300.63 18299[0:SpR:9869.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_fequal(tc_bool),y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oinsert(y,tc_bool),x,u)))*.
% 299.97/300.63 18298[0:SpR:9869.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Set_Oinsert(y,tc_bool),x,u)),hAPP(c_fequal(tc_bool),y)))*.
% 299.97/300.63 18470[0:Res:479.2,738.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.63 18469[0:Res:479.2,737.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.63 18449[0:SpR:276.1,479.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(w,u),x))))*.
% 299.97/300.63 18501[0:SSi:18461.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* hBOOL(c_in(x,v,u))* -> hBOOL(c_in(x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),y),u))*.
% 299.97/300.63 18502[0:SSi:18460.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* c_Fun_Oinj__on(x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),y),u,z)* -> c_Fun_Oinj__on(x,v,u,z)*.
% 299.97/300.63 18503[0:SSi:18456.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w))* c_Hoare__Mirabelle_Ohoare__derivs(v,x,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),y),x,u)*.
% 299.97/300.63 18504[0:SSi:18455.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w))* c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),y),u)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,v,u)*.
% 299.97/300.63 18684[0:Res:478.2,738.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.63 18683[0:Res:478.2,737.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.63 18707[0:SSi:18675.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* hBOOL(c_in(x,v,u))* -> hBOOL(c_in(x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),w),u))*.
% 299.97/300.63 18708[0:SSi:18674.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* c_Fun_Oinj__on(x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),w),u,z)* -> c_Fun_Oinj__on(x,v,u,z)*.
% 299.97/300.63 18709[0:SSi:18670.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w))* c_Hoare__Mirabelle_Ohoare__derivs(v,x,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),y),w),x,u)*.
% 299.97/300.63 18710[0:SSi:18669.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w))* c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),y),w),u)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,v,u)*.
% 299.97/300.63 18759[0:SpR:12282.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),x,v)))*.
% 299.97/300.63 18758[0:SpR:12282.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),x,v)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.63 18893[0:Res:185.2,739.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.63 18917[0:SSi:18900.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* hBOOL(c_in(x,v,u))* -> hBOOL(c_in(x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),w),u))*.
% 299.97/300.63 18926[0:SpR:12564.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),x,v)))*.
% 299.97/300.63 18925[0:SpR:12564.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),x,v)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.63 19107[0:Res:184.2,739.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x),v,u),c_COMBK(c_False,tc_bool,u))**.
% 299.97/300.63 19096[0:SpR:276.1,184.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(w,u),x))))*.
% 299.97/300.63 19126[0:SSi:19114.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* hBOOL(c_in(x,v,u))* -> hBOOL(c_in(x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),y),u))*.
% 299.97/300.63 19224[0:SpL:276.1,477.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),w))),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x)).
% 299.97/300.63 19282[0:Obv:19254.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),x)))*.
% 299.97/300.63 19283[0:Obv:19253.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),y)))*.
% 299.97/300.63 19642[0:Obv:19613.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),x)))*.
% 299.97/300.63 19643[0:Obv:19612.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),y)))*.
% 299.97/300.63 19818[0:Obv:19791.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y)),x))*.
% 299.97/300.63 19819[0:Obv:19790.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v)),x))*.
% 299.97/300.63 19983[0:SpL:125.1,169.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(w,u),x))))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)).
% 299.97/300.63 20041[0:Obv:20013.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y)),w))*.
% 299.97/300.63 20042[0:Obv:20012.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v)),w))*.
% 299.97/300.63 20093[0:SpL:249.0,20047.0] || hBOOL(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),tc_fun(v,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.63 20283[0:SpL:20243.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)))*.
% 299.97/300.63 20299[0:SpL:20154.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))))*.
% 299.97/300.63 20326[0:SpL:20206.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(c_lessequals(tc_bool),v))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),hAPP(c_lessequals(tc_bool),v)))*.
% 299.97/300.63 20341[0:SpL:20242.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v)))*.
% 299.97/300.63 20430[0:SpR:20156.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 299.97/300.63 20429[0:SpR:20156.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.63 20445[0:SpR:20245.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 299.97/300.63 20444[0:SpR:20245.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.63 20460[0:SpR:20134.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 299.97/300.63 20459[0:SpR:20134.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.63 20477[0:SpR:20106.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(c_in(c_COMBK(v,w,x),y,z))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,c_Complete__Lattice_OSup__class_OSup(tc_bool),z,u)))*.
% 299.97/300.63 20476[0:SpR:20106.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(c_in(c_COMBK(v,w,x),y,z))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(y,c_Complete__Lattice_OSup__class_OSup(tc_bool),z,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.63 20818[0:SpR:13526.1,435.1] || hBOOL(u) hBOOL(c_in(c_COMBK(u,v,w),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(z,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OInf__class_OInf(tc_bool),y,tc_fun(z,tc_bool))),c_False))*.
% 299.97/300.63 20810[0:SpR:9868.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool))),y))*.
% 299.97/300.63 20809[0:SpR:8987.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool))),y))*.
% 299.97/300.63 20808[0:SpR:9635.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool))),y))*.
% 299.97/300.63 20807[0:SpR:8814.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool))),y))*.
% 299.97/300.63 20798[0:SpR:13730.1,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> equal(u,c_False) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 299.97/300.63 20789[0:SpR:20174.0,435.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),u),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 299.97/300.63 20753[0:SpR:714.1,435.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(u),x,tc_fun(y,tc_bool))),v))*.
% 299.97/300.63 20752[0:SpR:710.1,435.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(u),x,tc_fun(y,tc_bool))),v))*.
% 299.97/300.63 20694[0:SpR:367.1,435.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),w,tc_fun(x,tc_bool))),y))*.
% 299.97/300.63 20692[0:SpR:12280.1,435.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),w,tc_fun(x,tc_bool))),y))*.
% 299.97/300.63 20686[0:SpR:677.0,435.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_HOL_Ominus__class_Ominus(y,tc_fun(u,tc_bool)),w,tc_fun(x,tc_bool))),y))*.
% 299.97/300.63 20685[0:SpR:540.1,435.1] class_Orderings_Obot(u) || hBOOL(c_in(v_x,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),w,tc_fun(x,tc_bool))),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.63 20684[0:SpR:443.1,435.1] class_Orderings_Otop(u) || hBOOL(c_in(v_x,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.63 20678[0:SpR:19.1,435.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),w,tc_fun(x,tc_bool))),y))*.
% 299.97/300.63 20676[0:SpR:12562.1,435.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),w,tc_fun(x,tc_bool))),y))*.
% 299.97/300.63 20670[0:SpR:678.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_HOL_Ominus__class_Ominus(u,tc_fun(y,tc_bool)),w,tc_fun(x,tc_bool))),c_COMBK(c_False,tc_bool,y)))*.
% 299.97/300.63 20649[0:SpR:18.1,435.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),x,tc_fun(y,tc_bool))),v))*.
% 299.97/300.63 20646[0:SpR:366.1,435.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),x,tc_fun(y,tc_bool))),v))*.
% 299.97/300.63 20636[0:SpR:712.1,435.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_fequal(u),x,tc_fun(y,tc_bool))),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)))*.
% 299.97/300.63 20884[0:SSi:20871.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,x,w,tc_fun(y,tc_bool)),hAPP(x,u),tc_fun(y,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(y,tc_bool)))** -> .
% 299.97/300.63 21229[0:SpR:13526.1,265.1] || hBOOL(u) hBOOL(c_in(c_COMBK(u,v,w),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(z,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OInf__class_OInf(tc_bool),y,tc_fun(z,tc_bool))))*.
% 299.97/300.63 21221[0:SpR:9868.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool))))*.
% 299.97/300.63 21220[0:SpR:8987.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool))))*.
% 299.97/300.63 21219[0:SpR:9635.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool))))*.
% 299.97/300.63 21218[0:SpR:8814.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool))))*.
% 299.97/300.63 21208[0:SpR:13730.1,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> equal(u,c_False) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 299.97/300.63 21199[0:SpR:20174.0,265.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),u),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool))))*.
% 299.97/300.63 21163[0:SpR:714.1,265.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(u),x,tc_fun(y,tc_bool))))*.
% 299.97/300.63 21162[0:SpR:710.1,265.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(u),x,tc_fun(y,tc_bool))))*.
% 299.97/300.63 21104[0:SpR:367.1,265.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),w,tc_fun(x,tc_bool))))*.
% 299.97/300.63 21102[0:SpR:12280.1,265.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),w,tc_fun(x,tc_bool))))*.
% 299.97/300.63 21096[0:SpR:677.0,265.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(y,tc_fun(u,tc_bool)),w,tc_fun(x,tc_bool))))*.
% 299.97/300.63 21095[0:SpR:540.1,265.1] class_Orderings_Obot(u) || hBOOL(c_in(v_x,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Obot__class_Obot(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),w,tc_fun(x,tc_bool))))*.
% 299.97/300.63 21094[0:SpR:443.1,265.1] class_Orderings_Otop(u) || hBOOL(c_in(v_x,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),w,tc_fun(x,tc_bool))))*.
% 299.97/300.63 21088[0:SpR:19.1,265.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),w,tc_fun(x,tc_bool))))*.
% 299.97/300.63 21086[0:SpR:12562.1,265.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),w,tc_fun(x,tc_bool))))*.
% 299.97/300.63 21080[0:SpR:678.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(u,tc_fun(y,tc_bool)),w,tc_fun(x,tc_bool))))*.
% 299.97/300.63 21059[0:SpR:18.1,265.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),x,tc_fun(y,tc_bool))))*.
% 299.97/300.63 21056[0:SpR:366.1,265.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),x,tc_fun(y,tc_bool))))*.
% 299.97/300.63 21046[0:SpR:712.1,265.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_fequal(u),x,tc_fun(y,tc_bool))))*.
% 299.97/300.63 21297[0:SSi:21277.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(x,u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,x,w,tc_fun(y,tc_bool)),tc_fun(y,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(y,tc_bool)))** -> .
% 299.97/300.63 21994[0:Res:29.2,352.0] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* hBOOL(c_in(v,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_lessequals(u),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.63 21993[0:Res:28.2,352.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* hBOOL(c_in(v,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_lessequals(u),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.63 21974[0:Res:4009.2,352.0] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(x,y),w,tc_fun(z,tc_bool)),c_False))*.
% 299.97/300.63 21973[0:Res:4010.2,352.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(x,y),w,tc_fun(z,tc_bool)),c_False))*.
% 299.97/300.63 21972[0:Res:4011.2,352.0] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(x,y),w,tc_fun(z,tc_bool)),c_False))*.
% 299.97/300.63 21944[0:Res:4528.1,352.0] || hBOOL(c_in(c_False,u,v))* hBOOL(c_in(u,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),y),v,z),x,tc_fun(x1,tc_bool)),c_False))*.
% 299.97/300.63 21943[0:Res:4820.1,352.0] class_Orderings_Olinorder(u) || hBOOL(c_in(hAPP(c_lessequals(u),v),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),y,z),x,tc_fun(x1,tc_bool)),c_False))*.
% 299.97/300.63 21942[0:Res:4821.1,352.0] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),v),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),y,z),x,tc_fun(x1,tc_bool)),c_False))*.
% 299.97/300.63 21941[0:Res:4822.1,352.0] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),v),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),y,z),x,tc_fun(x1,tc_bool)),c_False))*.
% 299.97/300.63 21940[0:Res:4823.1,352.0] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),v),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),y,z),x,tc_fun(x1,tc_bool)),c_False))*.
% 299.97/300.63 21939[0:Res:4824.1,352.0] class_Orderings_Oorder(u) || hBOOL(c_in(hAPP(c_lessequals(u),v),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),y,z),x,tc_fun(x1,tc_bool)),c_False))*.
% 299.97/300.63 21938[0:Res:4825.1,352.0] class_Orderings_Opreorder(u) || hBOOL(c_in(hAPP(c_lessequals(u),v),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),y,z),x,tc_fun(x1,tc_bool)),c_False))*.
% 299.97/300.63 21937[0:Res:4845.1,352.0] class_Orderings_Otop(u) || hBOOL(c_in(hAPP(c_lessequals(u),v),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),y,z),x,tc_fun(x1,tc_bool)),c_False))*.
% 299.97/300.63 21936[0:Res:4785.1,352.0] || hBOOL(u) hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),w,tc_fun(z,tc_bool)),c_False))*.
% 299.97/300.63 21876[0:SpL:5398.0,352.0] || hBOOL(u) hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),w,tc_fun(y,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(x,tc_bool)),z)))*.
% 299.97/300.63 21872[0:SpL:11.1,352.0] class_Lattices_Olattice(u) || hBOOL(v) hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(u),x,tc_fun(y,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),z)))*.
% 299.97/300.63 21869[0:SpL:3.1,352.0] class_Lattices_Olattice(u) || hBOOL(v) hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Olower__semilattice__class_Oinf(u),x,tc_fun(y,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),z)))*.
% 299.97/300.63 21867[0:SpL:2367.1,352.0] class_Lattices_Olattice(u) || hBOOL(v) hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(u),x,tc_fun(y,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),z),v)))*.
% 299.97/300.63 21866[0:SpL:2281.1,352.0] class_Lattices_Olattice(u) || hBOOL(v) hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Olower__semilattice__class_Oinf(u),x,tc_fun(y,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),z),v)))*.
% 299.97/300.63 21863[0:SpL:1091.0,352.0] || hBOOL(c_COMBK(c_False,tc_bool,u)) hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.63 21858[0:SpL:279.0,352.0] || hBOOL(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))) hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.63 21857[0:SpL:167.1,352.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))* hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Lattices_Olower__semilattice__class_Oinf(u),y,tc_fun(z,tc_bool)),v))*.
% 299.97/300.63 21856[0:SpL:168.1,352.0] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))* hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Lattices_Olower__semilattice__class_Oinf(u),y,tc_fun(z,tc_bool)),v))*.
% 299.97/300.63 21854[0:SpL:1597.1,352.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w))* hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_fequal(u),y,tc_fun(z,tc_bool)),v))*.
% 299.97/300.63 21852[0:SpL:342.1,352.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))* hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Lattices_Oupper__semilattice__class_Osup(u),y,tc_fun(z,tc_bool)),v))*.
% 299.97/300.63 21851[0:SpL:343.1,352.0] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))* hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Lattices_Oupper__semilattice__class_Osup(u),y,tc_fun(z,tc_bool)),v))*.
% 299.97/300.63 21846[0:SpL:1119.0,352.0] || hBOOL(c_COMBK(c_False,tc_bool,u)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x,tc_fun(y,tc_bool)),c_COMBK(c_False,tc_bool,u)))*.
% 299.97/300.63 21837[0:SpL:5527.2,352.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Olower__semilattice__class_Oinf(u),x,tc_fun(y,tc_bool)),c_Orderings_Obot__class_Obot(u)))*.
% 299.97/300.63 21834[0:SpL:5674.2,352.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Olower__semilattice__class_Oinf(u),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.63 21833[0:SpL:5789.2,352.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Olower__semilattice__class_Oinf(u),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.63 21832[0:SpL:5279.1,352.0] class_Orderings_Oorder(u) || hBOOL(v) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x,tc_fun(y,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(z,z,u)))*.
% 299.97/300.63 21831[0:SpL:5148.1,352.0] class_Orderings_Oorder(u) || hBOOL(v) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x,tc_fun(y,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(z,z,u)))*.
% 299.97/300.63 21830[0:SpL:280.0,352.0] || hBOOL(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x,tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))*.
% 299.97/300.63 21822[0:SpL:5276.1,352.0] class_Orderings_Oorder(u) || hBOOL(v) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y,tc_fun(z,tc_bool)),v))*.
% 299.97/300.63 21821[0:SpL:5145.1,352.0] class_Orderings_Oorder(u) || hBOOL(v) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y,tc_fun(z,tc_bool)),v))*.
% 299.97/300.63 21813[0:SpL:5441.2,352.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Oupper__semilattice__class_Osup(u),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.63 21812[0:SpL:5861.2,352.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Oupper__semilattice__class_Osup(u),w,tc_fun(x,tc_bool)),y))*.
% 299.97/300.63 21810[0:SpL:5371.2,352.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Lattices_Oupper__semilattice__class_Osup(u),x,tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(u)))*.
% 299.97/300.63 21800[0:SpL:2578.1,352.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w))* hBOOL(c_in(v,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_fequal(u),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.63 21753[0:SpL:13526.1,352.0] || hBOOL(u) hBOOL(hAPP(c_False,v)) hBOOL(c_in(c_COMBK(u,w,x),y,z))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,c_Complete__Lattice_OInf__class_OInf(tc_bool),z,tc_fun(x1,tc_bool)),v))*.
% 299.97/300.63 21745[0:SpL:9868.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),y,tc_fun(z,tc_bool)),v))*.
% 299.97/300.63 21744[0:SpL:8987.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),y,tc_fun(z,tc_bool)),v))*.
% 299.97/300.63 21743[0:SpL:9635.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),y,tc_fun(z,tc_bool)),v))*.
% 299.97/300.63 21742[0:SpL:8814.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),y,tc_fun(z,tc_bool)),v))*.
% 299.97/300.63 21732[0:SpL:13730.1,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),w,x))* -> equal(v,c_False) hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 299.97/300.63 21717[0:SpL:20174.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),w),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,tc_fun(z,tc_bool)),u))*.
% 299.97/300.63 21681[0:SpL:714.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(v,w))* hBOOL(c_in(hAPP(c_fequal(u),v),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(u),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.63 21680[0:SpL:710.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(v,w))* hBOOL(c_in(hAPP(c_fequal(u),v),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OInf__class_OInf(u),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.63 21622[0:SpL:367.1,352.0] class_Lattices_Obounded__lattice(u) || hBOOL(hAPP(v,w)) hBOOL(c_in(c_Orderings_Obot__class_Obot(u),x,y)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.63 21620[0:SpL:12280.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(v,w)) hBOOL(c_in(c_Orderings_Obot__class_Obot(u),x,y)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.63 21614[0:SpL:677.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(c_COMBK(c_False,tc_bool,w),x,y)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_HOL_Ominus__class_Ominus(u,tc_fun(w,tc_bool)),y,tc_fun(z,tc_bool)),v))*.
% 299.97/300.63 21613[0:SpL:540.1,352.0] class_Orderings_Obot(u) || hBOOL(hAPP(c_Orderings_Obot__class_Obot(u),v)) hBOOL(c_in(v_x,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.63 21612[0:SpL:443.1,352.0] class_Orderings_Otop(u) || hBOOL(hAPP(c_Orderings_Otop__class_Otop(u),v)) hBOOL(c_in(v_x,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),x,tc_fun(y,tc_bool)),v))*.
% 299.97/300.63 21606[0:SpL:19.1,352.0] class_Lattices_Obounded__lattice(u) || hBOOL(hAPP(v,w)) hBOOL(c_in(c_Orderings_Otop__class_Otop(u),x,y)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.63 21604[0:SpL:12562.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(v,w)) hBOOL(c_in(c_Orderings_Otop__class_Otop(u),x,y)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.63 21577[0:SpL:18.1,352.0] class_Lattices_Obounded__lattice(u) || hBOOL(hAPP(v,w))* hBOOL(c_in(v,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.63 21574[0:SpL:366.1,352.0] class_Lattices_Obounded__lattice(u) || hBOOL(hAPP(v,w))* hBOOL(c_in(v,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.63 22025[0:MRR:21662.1,3100.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) hBOOL(c_in(u,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),u),x,tc_fun(y,tc_bool)),z))*.
% 299.97/300.63 22209[0:Res:783.2,599.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,v,w)* c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(w)),x),w)* c_Hoare__Mirabelle_Ohoare__derivs(y,u,w)* -> c_Hoare__Mirabelle_Ohoare__derivs(y,hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(w)),v),w)*.
% 299.97/300.63 22628[0:SpL:405.0,4686.0] || hBOOL(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),y)))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),z,x1),c_Set_Oinsert(hAPP(u,x),w)),c_False))*.
% 299.97/300.63 22618[0:SpL:405.0,610.0] || hBOOL(hAPP(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),y)),z))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(u,v,w),y),z)) equal(hAPP(u,x),z).
% 299.97/300.63 22599[0:SpR:13495.1,405.0] || hBOOL(hAPP(u,c_False)) -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(u,v),x)),hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),x)))*.
% 299.97/300.63 22588[0:SpR:19877.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u),w)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),w)))*.
% 299.97/300.63 22538[0:SpR:20155.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_fequal(w),c_Orderings_Otop__class_Otop(tc_bool)),u),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),x)))*.
% 299.97/300.63 22470[0:SpR:12550.0,405.0] || -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),x)),hAPP(c_Set_Oinsert(u,w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),x)))*.
% 299.97/300.63 22341[0:SpR:405.0,1486.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(c_Set_Oimage(w,x,tc_Hoare__Mirabelle_Otriple(u)),hAPP(c_Set_Oinsert(y,x),z))),hAPP(c_Set_Oimage(w,x,tc_Hoare__Mirabelle_Otriple(u)),z),u)*.
% 299.97/300.63 22330[0:SpR:405.0,3396.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oimage(u,v,tc_Hoare__Mirabelle_Otriple(w)),hAPP(c_Set_Oinsert(x,v),y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),z),hAPP(c_Set_Oimage(u,v,tc_Hoare__Mirabelle_Otriple(w)),y)),w)*.
% 299.97/300.63 22329[0:SpR:405.0,3395.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oimage(u,v,tc_Hoare__Mirabelle_Otriple(w)),hAPP(c_Set_Oinsert(x,v),y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),hAPP(c_Set_Oimage(u,v,tc_Hoare__Mirabelle_Otriple(w)),y)),z),w)*.
% 299.97/300.63 22298[0:SpR:405.0,361.1] || hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),x),w))* -> hBOOL(c_in(hAPP(y,u),hAPP(c_Set_Oinsert(hAPP(y,v),z),hAPP(c_Set_Oimage(y,w,z),x)),z))*.
% 299.97/300.63 23093[0:SpL:13518.1,461.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_lessequals(u),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.63 23092[0:SpL:13522.1,461.0] class_Orderings_Obot(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_lessequals(u),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u))**.
% 299.97/300.63 23024[0:SpL:2678.0,461.0] || equal(hAPP(c_Set_Oinsert(u,v),w),w)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,c_Set_Oinsert(u,v),y,z)* -> equal(hAPP(hAPP(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w)),w),w)**.
% 299.97/300.63 22981[0:SpL:678.0,461.0] || equal(c_COMBK(c_False,tc_bool,u),hAPP(v,w)) c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,c_HOL_Ominus__class_Ominus(hAPP(v,w),tc_fun(u,tc_bool))),w),w)**.
% 299.97/300.63 22926[0:SpL:13619.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)))**.
% 299.97/300.63 22916[0:SpL:12544.0,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),hAPP(c_Set_Oinsert(c_False,tc_bool),y)),hAPP(c_Set_Oinsert(c_False,tc_bool),y))**.
% 299.97/300.63 22915[0:SpL:9924.0,461.0] || equal(hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool))**.
% 299.97/300.63 22914[0:SpL:9032.0,461.0] || equal(hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool))**.
% 299.97/300.63 22911[0:SpL:9690.0,461.0] || equal(hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool))**.
% 299.97/300.63 22910[0:SpL:8858.0,461.0] || equal(hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool))**.
% 299.97/300.63 22895[0:SpL:20154.0,461.0] || equal(hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)))**.
% 299.97/300.63 22874[0:SpL:20242.0,461.0] || equal(hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y))**.
% 299.97/300.63 22873[0:SpL:20206.0,461.0] || equal(hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),hAPP(c_lessequals(tc_bool),y)),hAPP(c_lessequals(tc_bool),y))**.
% 299.97/300.63 22872[0:SpL:20243.0,461.0] || equal(hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False))**.
% 299.97/300.63 22798[0:SpL:186.1,461.0] class_Lattices_Obounded__lattice(u) || equal(hAPP(v,c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u))** c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),x,y)* -> equal(hAPP(hAPP(w,v),z),z)**.
% 299.97/300.63 22777[0:SpL:278.1,461.0] class_Lattices_Obounded__lattice(u) || equal(hAPP(v,c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(u))** c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),x,y)* -> equal(hAPP(hAPP(w,v),z),z)**.
% 299.97/300.63 23283[0:SpL:472.0,68.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oimage(x,y,v),z)),w)* c_Fun_Oinj__on(c_Fun_Ocomp(u,x,v,w,y),z,y,w)* -> c_Finite__Set_Ofinite(z,y).
% 299.97/300.63 23442[0:SpL:46.0,68.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oimage(x,y,v),z)),w)* c_Fun_Oinj__on(c_COMBB(u,x,v,w,y),z,y,w)* -> c_Finite__Set_Ofinite(z,y).
% 299.97/300.63 23434[0:SpL:46.0,4686.0] || hBOOL(hAPP(c_Set_Oimage(c_COMBB(u,v,w,x,y),y,x),z))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x1,x2),c_Set_Oimage(u,w,x)),c_False))*.
% 299.97/300.63 23432[0:SpL:46.0,719.0] || equal(hAPP(c_Set_Oimage(c_COMBB(u,v,w,x,y),y,x),z),c_COMBK(c_False,tc_bool,x))** -> equal(hAPP(c_Set_Oimage(v,y,w),z),c_COMBK(c_False,tc_bool,w)).
% 299.97/300.63 23386[0:SpR:46.0,4528.1] || hBOOL(c_in(c_False,hAPP(c_Set_Oimage(u,v,w),x),w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),y),u,w,z,v),v,z),x),c_False))*.
% 299.97/300.63 23380[0:SpR:46.0,361.1] || hBOOL(c_in(u,hAPP(c_Set_Oimage(v,w,x),y),x))* -> hBOOL(c_in(hAPP(z,u),hAPP(c_Set_Oimage(c_COMBB(z,v,x,x1,w),w,x1),y),x1))*.
% 299.97/300.63 23650[0:SpL:94.1,68.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(u,v,w),x),w) c_Fun_Oinj__on(c_Fun_Ofun__upd(u,y,z,v,w),x,v,w)* -> hBOOL(c_in(y,x,v)) c_Finite__Set_Ofinite(x,v).
% 299.97/300.63 23579[0:SpR:94.1,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(x,v,w)) hBOOL(c_in(hAPP(c_Fun_Ofun__upd(y,x,z,w,x1),u),hAPP(c_Set_Oimage(y,w,x1),v),x1))*.
% 299.97/300.63 23884[0:SpR:278.1,257.1] class_Lattices_Obounded__lattice(tc_fun(t_a,u)) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v_x)),hAPP(v,v_x)),hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v_x))**.
% 299.97/300.63 23881[0:SpR:277.1,257.1] class_Lattices_Obounded__lattice(tc_fun(t_a,u)) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(v,v_x)),hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v_x)),hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v_x))**.
% 299.97/300.63 23879[0:SpR:12282.1,257.1] class_Complete__Lattice_Ocomplete__lattice(tc_fun(t_a,u)) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(v,v_x)),hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v_x)),hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v_x))**.
% 299.97/300.63 23945[0:SSi:23883.1,621.1,622.1,627.1] class_Orderings_Otop(tc_fun(t_a,u)) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v_x)),hAPP(v,v_x)),hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v_x))**.
% 299.97/300.63 23946[0:SSi:23882.1,621.1,622.1,627.1] class_Complete__Lattice_Ocomplete__lattice(tc_fun(t_a,u)) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v_x)),hAPP(v,v_x)),hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v_x))**.
% 299.97/300.63 23947[0:SSi:23880.1,621.1,622.1,627.1] class_Orderings_Otop(tc_fun(t_a,u)) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(v,v_x)),hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v_x)),hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v_x))**.
% 299.97/300.63 24244[0:Res:156.1,364.1] class_Orderings_Olinorder(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,v)),w),x))* hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(x,y)),hAPP(w,y)))*.
% 299.97/300.63 24243[0:Res:518.1,364.1] class_Orderings_Olinorder(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,v)),w),x))* hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(x,y)),hAPP(w,y)))*.
% 299.97/300.63 24611[0:SpR:24543.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w),hAPP(c_Set_Oinsert(x,v),y)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w),y)))*.
% 299.97/300.63 24681[0:Res:83.3,451.1] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(u),w,u)),v),v)**.
% 299.97/300.63 24680[0:Res:83.3,449.1] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(u),w,u)),v)**.
% 299.97/300.63 24656[0:Res:83.3,20047.0] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),v,u)) c_Finite__Set_Ofinite(v,u) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(u),v,u))),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.63 24902[0:SpL:803.2,196.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) c_Fun_Oinj__on(x,c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),u,y) -> c_Fun_Oinj__on(x,c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),u,y)*.
% 299.97/300.63 24858[0:SpR:803.2,1430.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(w,u),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)))*.
% 299.97/300.63 24822[0:SpR:803.2,404.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(c_in(x,c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),u))* -> hBOOL(c_in(x,c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),u)).
% 299.97/300.63 25087[0:SpL:802.2,196.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) c_Fun_Oinj__on(x,c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),u,y) -> c_Fun_Oinj__on(x,c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),u,y)*.
% 299.97/300.63 25043[0:SpR:802.2,1430.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(v,u),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)))*.
% 299.97/300.63 25007[0:SpR:802.2,404.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(c_in(x,c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),u))* -> hBOOL(c_in(x,c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),u)).
% 299.97/300.63 25603[0:Res:225.1,20047.0] || c_Finite__Set_Ofold__graph(u,v,w,c_Orderings_Otop__class_Otop(tc_bool),x,x) -> hBOOL(c_in(v,w,x)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Finite__Set_Ofold1Set(u,hAPP(c_Set_Oinsert(v,x),w),x)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 299.97/300.63 25745[0:SpL:712.1,801.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)))* -> equal(v,hAPP(c_fequal(u),w)) equal(v,c_COMBK(c_False,tc_bool,u)).
% 299.97/300.63 25790[0:SSi:25780.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(c_fequal(v),w),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))** equal(u,hAPP(c_fequal(v),w)) equal(u,c_COMBK(c_False,tc_bool,v)).
% 299.97/300.63 26335[0:SpL:411.0,427.0] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x)),y))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),w),y)) hBOOL(hAPP(x,y)).
% 299.97/300.63 26296[0:SpR:411.0,5398.0] || -> equal(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(u,v),w),tc_fun(v,tc_bool)),x))),hAPP(c_Set_Oinsert(u,v),w))**.
% 299.97/300.63 26759[0:SpL:410.0,4686.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),y,z),c_Set_Oinsert(w,u)),c_False))*.
% 299.97/300.63 26731[0:SpL:410.0,427.0] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x)),y))* -> hBOOL(hAPP(w,y)) hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),x),y)).
% 299.97/300.63 26606[0:SpR:410.0,1506.1] || hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x),v)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Set_Oinsert(y,v),x)),u))*.
% 299.97/300.63 26548[0:SpR:410.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(c_Set_Oinsert(y,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),z))))*.
% 299.97/300.63 26940[0:SpR:266.1,7115.0] || hBOOL(c_in(u,v,tc_Hoare__Mirabelle_Otriple(w))) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(w)),hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(w)),y)),hAPP(c_HOL_Ominus__class_Ominus(y,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),v),w)*.
% 299.97/300.63 27306[0:SpR:803.2,13604.1] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastLessThan(u,v,tc_bool),c_False)) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool)),c_False)**.
% 299.97/300.63 27305[0:SpR:802.2,13604.1] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) hBOOL(hAPP(c_SetInterval_Oord__class_OgreaterThanAtMost(u,v,tc_bool),c_False)) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool)),c_False)**.
% 299.97/300.63 27933[0:Res:474.1,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(v,x,y))* -> hBOOL(c_in(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),z),y,tc_fun(w,tc_bool)),w))*.
% 299.97/300.63 27932[0:Res:475.1,331.1] || hBOOL(c_in(u,v,w)) hBOOL(c_in(x,y,z))* -> hBOOL(c_in(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),z,tc_fun(w,tc_bool)),w))*.
% 299.97/300.63 27929[0:Res:361.1,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(v,x,y))* -> hBOOL(c_in(hAPP(z,u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Set_Oimage(z,w,x1),y,tc_fun(x1,tc_bool)),x1))*.
% 299.97/300.63 27880[0:SpL:13619.0,331.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v)) hBOOL(c_in(w,c_False,x)) -> hBOOL(c_in(w,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(x,tc_bool)),x))*.
% 299.97/300.63 27869[0:SpL:12544.0,331.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(c_False,tc_bool),u),v,w))* hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.63 27868[0:SpL:9924.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* hBOOL(c_in(x,c_Orderings_Otop__class_Otop(tc_bool),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.63 27867[0:SpL:9032.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* hBOOL(c_in(x,c_Orderings_Otop__class_Otop(tc_bool),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.63 27864[0:SpL:9690.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* hBOOL(c_in(x,c_Orderings_Otop__class_Otop(tc_bool),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.63 27863[0:SpL:8858.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* hBOOL(c_in(x,c_Orderings_Otop__class_Otop(tc_bool),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.63 27844[0:SpL:20154.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w))* hBOOL(c_in(x,c_Orderings_Otop__class_Otop(tc_bool),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.63 27809[0:SpL:20242.0,331.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w))* hBOOL(c_in(x,c_Orderings_Otop__class_Otop(tc_bool),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.63 27808[0:SpL:20206.0,331.1] || hBOOL(c_in(hAPP(c_lessequals(tc_bool),u),v,w))* hBOOL(c_in(x,c_Orderings_Otop__class_Otop(tc_bool),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.63 27807[0:SpL:20243.0,331.1] || hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u,v)) hBOOL(c_in(w,c_Orderings_Otop__class_Otop(tc_bool),x)) -> hBOOL(c_in(w,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,tc_fun(x,tc_bool)),x))*.
% 299.97/300.63 27709[0:SpL:12625.0,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,c_Orderings_Otop__class_Otop(tc_bool),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.63 27708[0:SpL:12637.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) hBOOL(c_in(w,c_Orderings_Otop__class_Otop(tc_bool),x)) -> hBOOL(c_in(w,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),v,tc_fun(x,tc_bool)),x))*.
% 299.97/300.63 27654[0:SpL:34.0,331.1] || hBOOL(c_in(u,v,w)) hBOOL(c_in(x,y,z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Fun_Ofun__upd(x1,u,y,x2,x3),w,tc_fun(z,tc_bool)),z))*.
% 299.97/300.63 27641[0:SpL:256.0,331.1] || hBOOL(c_in(u,v,w)) hBOOL(c_in(x,u,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(z,tc_bool)),u),w,tc_fun(y,tc_bool)),y))*.
% 299.97/300.63 28339[0:SpL:28266.1,352.0] || equal(c_False,u) hBOOL(hAPP(u,v)) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),y,tc_fun(z,tc_bool)),v))*.
% 299.97/300.63 28290[0:SpR:28266.1,265.1] || equal(c_False,u) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x,tc_fun(y,tc_bool))))*.
% 299.97/300.63 28289[0:SpR:28266.1,435.1] || equal(c_False,u) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x,tc_fun(y,tc_bool))),u))*.
% 299.97/300.63 28681[0:SpR:13517.0,326.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w))* -> equal(hAPP(c_Set_Oinsert(c_False,x),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v)),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v))**.
% 299.97/300.63 28677[0:SpR:12731.0,326.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u,v)) -> equal(hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u)),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u))**.
% 299.97/300.63 28665[0:SpR:13510.0,326.1] || hBOOL(c_in(hAPP(c_lessequals(tc_bool),c_False),u,v)) -> equal(hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u)),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u))**.
% 299.97/300.63 28664[0:SpR:12718.0,326.1] || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_False),u,v)) -> equal(hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u)),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u))**.
% 299.97/300.63 28629[0:SpR:15484.0,326.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u,v)) -> equal(hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),u)),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),u))**.
% 299.97/300.63 28592[0:SpR:15481.0,326.1] || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_False),u,v)) -> equal(hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),u)),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),u))**.
% 299.97/300.63 28583[0:SpR:8998.0,326.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> equal(hAPP(c_Set_Oinsert(c_False,x),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v)),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v))**.
% 299.97/300.63 28582[0:SpR:5331.0,326.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> equal(hAPP(c_Set_Oinsert(c_False,x),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v)),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v))**.
% 299.97/300.63 28581[0:SpR:8825.0,326.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> equal(hAPP(c_Set_Oinsert(c_False,x),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v)),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v))**.
% 299.97/300.63 28580[0:SpR:5198.0,326.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> equal(hAPP(c_Set_Oinsert(c_False,x),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v)),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v))**.
% 299.97/300.63 28474[0:SpR:19460.0,326.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) -> equal(hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_bool),v,w),u)),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(x,tc_bool),v,w),u))**.
% 299.97/300.63 28400[0:SpR:326.1,248.0] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(hAPP(c_Set_Oimage(x,w,y),v),hAPP(c_Set_Oimage(c_Set_Oinsert(hAPP(x,u),y),z,x1),c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool))),x1))*.
% 299.97/300.63 28788[0:SpL:28267.1,352.0] || equal(c_False,u) hBOOL(hAPP(u,v))* hBOOL(c_in(u,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),y),x,tc_fun(z,tc_bool)),v))*.
% 299.97/300.63 28738[0:SpR:28267.1,265.1] || equal(c_False,u) hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),y),w,tc_fun(x,tc_bool))))*.
% 299.97/300.63 28737[0:SpR:28267.1,435.1] || equal(c_False,u) hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),y),w,tc_fun(x,tc_bool))),u))*.
% 299.97/300.63 28884[0:SpL:28268.1,461.0] || equal(hAPP(u,v),c_False)** equal(w,hAPP(u,v))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,u,y,z)* -> equal(hAPP(hAPP(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w)),v),v)**.
% 299.97/300.63 28877[0:SpL:28268.1,352.0] || equal(c_False,u) hBOOL(hAPP(v,w)) hBOOL(c_in(u,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.63 28826[0:SpR:28268.1,265.1] || equal(c_False,u) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),w,tc_fun(x,tc_bool))))*.
% 299.97/300.63 28825[0:SpR:28268.1,435.1] || equal(c_False,u) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),w,tc_fun(x,tc_bool))),y))*.
% 299.97/300.63 29007[0:SpL:28269.1,352.0] || equal(c_False,u) hBOOL(hAPP(v,w))* hBOOL(c_in(v,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),y,tc_fun(z,tc_bool)),w))*.
% 299.97/300.63 28955[0:SpR:28269.1,265.1] || equal(c_False,u) hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,tc_fun(y,tc_bool))))*.
% 299.97/300.63 28954[0:SpR:28269.1,435.1] || equal(c_False,u) hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,tc_fun(y,tc_bool))),v))*.
% 299.97/300.63 29558[0:SpL:29202.1,352.0] || equal(c_False,u) hBOOL(hAPP(c_False,v)) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_SetInterval_Oord__class_OgreaterThanAtMost(z,u,tc_bool),y,tc_fun(x1,tc_bool)),v))*.
% 299.97/300.63 29525[0:SpR:29202.1,265.1] || equal(c_False,u) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OgreaterThanAtMost(z,u,tc_bool),x,tc_fun(y,tc_bool))))*.
% 299.97/300.63 29524[0:SpR:29202.1,435.1] || equal(c_False,u) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_SetInterval_Oord__class_OgreaterThanAtMost(z,u,tc_bool),x,tc_fun(y,tc_bool))),c_False))*.
% 299.97/300.63 30344[0:SpR:13517.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Fun_Ofun__upd(u,v,c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,y,z,x),v,c_False,x,z))*.
% 299.97/300.63 30340[0:SpR:12731.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Fun_Ofun__upd(u,v,c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),w,x),x,y,w),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,x,y,w),v,c_False,w,y))*.
% 299.97/300.63 30328[0:SpR:13510.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Fun_Ofun__upd(u,v,hAPP(c_lessequals(tc_bool),c_False),w,x),x,y,w),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,x,y,w),v,c_False,w,y))*.
% 299.97/300.63 30327[0:SpR:12718.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Fun_Ofun__upd(u,v,hAPP(c_fequal(tc_bool),c_False),w,x),x,y,w),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,x,y,w),v,c_False,w,y))*.
% 299.97/300.63 30292[0:SpR:15484.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Fun_Ofun__upd(u,v,c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),w,x),x,y,w),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,x,y,w),v,c_False,w,y))*.
% 299.97/300.63 30255[0:SpR:15481.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Fun_Ofun__upd(u,v,hAPP(c_fequal(tc_bool),c_False),w,x),x,y,w),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,x,y,w),v,c_False,w,y))*.
% 299.97/300.63 30246[0:SpR:8998.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Fun_Ofun__upd(u,v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool),x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,y,z,x),v,c_False,x,z))*.
% 299.97/300.63 30245[0:SpR:5331.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Fun_Ofun__upd(u,v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool),x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,y,z,x),v,c_False,x,z))*.
% 299.97/300.63 30244[0:SpR:8825.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Fun_Ofun__upd(u,v,c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool),x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,y,z,x),v,c_False,x,z))*.
% 299.97/300.63 30243[0:SpR:5198.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Fun_Ofun__upd(u,v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool),x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,y,z,x),v,c_False,x,z))*.
% 299.97/300.63 30134[0:SpR:19460.0,159.0] || -> equal(c_Fun_Ocomp(c_HOL_Ominus__class_Ominus(u,tc_bool),c_Fun_Ofun__upd(v,w,c_Orderings_Otop__class_Otop(tc_bool),x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(c_HOL_Ominus__class_Ominus(u,tc_bool),v,y,z,x),w,c_False,x,z))*.
% 299.97/300.63 30065[0:SpR:1014.1,159.0] class_Orderings_Oorder(u) || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(v,c_fequal(u),w,x,y),z,hAPP(v,c_SetInterval_Oord__class_OatLeastAtMost(z,z,u)),y,x),c_Fun_Ocomp(v,c_fequal(u),w,x,y))**.
% 299.97/300.63 30064[0:SpR:1000.1,159.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(v,c_Complete__Lattice_OSup__class_OSup(u),w,x,y),hAPP(c_fequal(u),z),hAPP(v,z),y,x),c_Fun_Ocomp(v,c_Complete__Lattice_OSup__class_OSup(u),w,x,y))**.
% 299.97/300.63 30063[0:SpR:998.1,159.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(v,c_Complete__Lattice_OInf__class_OInf(u),w,x,y),hAPP(c_fequal(u),z),hAPP(v,z),y,x),c_Fun_Ocomp(v,c_Complete__Lattice_OInf__class_OInf(u),w,x,y))**.
% 299.97/300.63 30027[0:SpR:159.0,20.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Fun_Ofun__upd(v,w,x,y,z),z,x1,y),w,x2,y,x1),c_Fun_Ofun__upd(c_Fun_Ocomp(u,v,z,x1,y),w,x2,y,x1))**.
% 299.97/300.63 30372[0:Rew:424.0,30366.1] || equal(c_Fun_Ocomp(u,c_Fun_Ofun__upd(v,w,x,y,z),z,x1,y),c_Fun_Ocomp(u,v,z,x1,y))** -> equal(hAPP(u,hAPP(v,w)),hAPP(u,x)).
% 299.97/300.63 30463[0:SpL:29751.1,352.0] || equal(c_False,u) hBOOL(hAPP(c_False,v)) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_SetInterval_Oord__class_OatLeastLessThan(z,u,tc_bool),y,tc_fun(x1,tc_bool)),v))*.
% 299.97/300.63 30429[0:SpR:29751.1,265.1] || equal(c_False,u) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OatLeastLessThan(z,u,tc_bool),x,tc_fun(y,tc_bool))))*.
% 299.97/300.64 30428[0:SpR:29751.1,435.1] || equal(c_False,u) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_SetInterval_Oord__class_OatLeastLessThan(z,u,tc_bool),x,tc_fun(y,tc_bool))),c_False))*.
% 299.97/300.64 30533[0:SpR:29192.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(w,v,tc_bool),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,u)))*.
% 299.97/300.64 30532[0:SpR:29192.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(w,v,tc_bool),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,u)),c_False))*.
% 299.97/300.64 30706[0:SpR:29740.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(w,v,tc_bool),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,u)))*.
% 299.97/300.64 30705[0:SpR:29740.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(w,v,tc_bool),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,u)),c_False))*.
% 299.97/300.64 33048[0:Res:156.2,59.1] class_Orderings_Olinorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),w))*.
% 299.97/300.64 34507[0:Res:156.1,58.1] class_Orderings_Olinorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),w))*.
% 299.97/300.64 34506[0:Res:518.1,58.1] class_Orderings_Olinorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),w))*.
% 299.97/300.64 34874[0:Res:156.1,485.1] class_Orderings_Olinorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))* hBOOL(hAPP(hAPP(c_lessequals(u),x),w))*.
% 299.97/300.64 34873[0:Res:518.1,485.1] class_Orderings_Olinorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x))* hBOOL(hAPP(hAPP(c_lessequals(u),x),w))*.
% 299.97/300.64 35265[0:SpL:28358.1,461.0] || equal(c_False,u) equal(hAPP(c_Set_Oinsert(u,tc_bool),v),u)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Set_Oinsert(u,tc_bool),x,y)* -> equal(hAPP(hAPP(w,c_Complete__Lattice_OInf__class_OInf(tc_bool)),v),v)**.
% 299.97/300.64 35273[0:SpR:35239.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(hAPP(c_fequal(tc_bool),v),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 299.97/300.64 35272[0:SpR:35239.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(hAPP(c_fequal(tc_bool),v),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),v))*.
% 299.97/300.64 35301[0:SpR:35267.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 299.97/300.64 35300[0:SpR:35267.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),v))*.
% 299.97/300.64 35397[0:Res:156.1,52.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),w))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))*.
% 299.97/300.64 35396[0:Res:518.1,52.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_lessequals(u),x),w))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))*.
% 299.97/300.64 35657[0:Res:156.2,51.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> hBOOL(hAPP(hAPP(c_lessequals(u),x),w))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))*.
% 299.97/300.64 35941[0:Res:156.1,484.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),w))* hBOOL(hAPP(hAPP(c_lessequals(u),v),x))*.
% 299.97/300.64 35940[0:Res:518.1,484.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> hBOOL(hAPP(hAPP(c_lessequals(u),x),w))* hBOOL(hAPP(hAPP(c_lessequals(u),v),x))*.
% 299.97/300.64 36566[0:Obv:36500.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))),y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),x),y)).
% 299.97/300.64 36568[0:Obv:36362.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),w))))*.
% 299.97/300.64 36569[0:Obv:36361.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),w))))*.
% 299.97/300.64 36581[0:SSi:36490.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x)),u)* -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),u).
% 299.97/300.64 36588[0:SSi:36377.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),u)*.
% 299.97/300.64 36948[0:Obv:36892.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),y))))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),y)).
% 299.97/300.64 36949[0:Obv:36822.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v))),w))*.
% 299.97/300.64 36950[0:Obv:36821.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v))),w))*.
% 299.97/300.64 36955[0:SSi:36866.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(w,u),v)),x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),x))**.
% 299.97/300.64 36956[0:SSi:36814.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),u) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),x)),u)*.
% 299.97/300.64 36963[0:SSi:36808.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),x)),u)*.
% 299.97/300.64 37375[0:SpR:771.1,26165.1] || hBOOL(c_in(v_x,c_Set_Oimage(c_COMBK(u,v,w),w,v),t_a))* -> equal(c_COMBK(c_False,tc_bool,w),v_x) hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),hAPP(c_fequal(v),u)))*.
% 299.97/300.64 37847[0:SpR:241.1,1430.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),z))))*.
% 299.97/300.64 38199[0:Obv:38075.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))),y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),y)).
% 299.97/300.64 38201[0:Obv:37903.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y))))*.
% 299.97/300.64 38202[0:Obv:37902.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y))))*.
% 299.97/300.64 38226[0:SSi:38063.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x)),u)* -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),x),u).
% 299.97/300.64 38233[0:SSi:37870.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),x),u)*.
% 299.97/300.64 38442[0:SpR:126.1,1430.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),z))))*.
% 299.97/300.64 38734[0:Obv:38611.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),y))))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x)).
% 299.97/300.64 38738[0:Obv:38460.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y))),w))*.
% 299.97/300.64 38739[0:Obv:38459.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y))),w))*.
% 299.97/300.64 38746[0:SSi:38567.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),hAPP(c_Set_Oinsert(x,u),v))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),v))**.
% 299.97/300.64 38747[0:SSi:38472.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),u) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x),w)),u)*.
% 299.97/300.64 38753[0:SSi:38469.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),w)),u)*.
% 299.97/300.64 39002[0:SpR:240.1,1430.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),z))))*.
% 299.97/300.64 39606[0:SpR:127.1,1430.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),z))))*.
% 299.97/300.64 40190[0:Res:793.0,5078.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x,y,t_a)),t_a)* hBOOL(hAPP(v,v_sko__Hoare__Mirabelle__Xescape__2(u,c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),y,x)))*.
% 299.97/300.64 40426[0:Res:792.0,5078.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x,y,t_a)),t_a)* hBOOL(hAPP(v,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),y,x)))*.
% 299.97/300.64 40627[0:Res:791.0,5078.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x,y,t_a)),t_a)* hBOOL(hAPP(v,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),y,x)))*.
% 299.97/300.64 40967[0:SpR:131.1,65.1] || -> equal(u,v) equal(w,u) equal(hAPP(c_Fun_Ofun__upd(c_Fun_Ofun__upd(x,u,y,z,x1),v,x2,z,x1),w),hAPP(c_Fun_Ofun__upd(x,v,x2,z,x1),w))**.
% 299.97/300.64 42582[0:SpR:771.1,26440.1] || hBOOL(c_in(v_x,c_Set_Oimage(c_COMBK(u,v,w),w,v),t_a))* -> equal(c_COMBK(c_False,tc_bool,w),v_x) hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_fequal(v),u)),x))*.
% 299.97/300.64 42972[0:SpL:794.0,5078.0] || hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),x)),y))* -> hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_fequal(v),w)),y)).
% 299.97/300.64 42925[0:SpR:794.0,320.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(w,u),x))),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),hAPP(c_fequal(u),w))))*.
% 299.97/300.64 43103[0:SpR:795.0,7115.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x)),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),hAPP(c_Set_Oinsert(y,tc_Hoare__Mirabelle_Otriple(v)),x)),v)*.
% 299.97/300.64 43101[0:SpR:795.0,1441.1] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x),w) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),hAPP(c_Set_Oinsert(y,tc_Hoare__Mirabelle_Otriple(w)),x)),w)*.
% 299.97/300.64 43307[0:MRR:43267.3,5316.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_fequal(u),x)))*.
% 299.97/300.64 43308[0:MRR:43266.3,5184.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,u)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_fequal(u),x)))*.
% 299.97/300.64 43518[0:Res:26.1,328.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),x)) hBOOL(c_in(w,v,u)).
% 299.97/300.64 43633[0:SpR:13568.1,131.1] || hBOOL(hAPP(u,c_False)) -> equal(v,u) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x,y),u,c_False,x,y),c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w,x,y))**.
% 299.97/300.64 43715[0:SpL:356.1,5078.0] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),x)),y))* -> hBOOL(c_in(u,x,v)) hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),w),y)).
% 299.97/300.64 43651[0:SpR:356.1,320.0] || -> hBOOL(c_in(u,v,w)) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),hAPP(c_Set_Oinsert(u,w),hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(w,tc_bool)),v))),hAPP(c_Set_Oinsert(u,w),x)))*.
% 299.97/300.64 44209[0:SpR:456.0,341.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,w,x,tc_fun(u,tc_bool))),hAPP(w,y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(y,x),v),w,x,tc_fun(u,tc_bool)))*.
% 299.97/300.64 44603[0:SpR:44156.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(hAPP(c_lessequals(tc_bool),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 299.97/300.64 44602[0:SpR:44156.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(hAPP(c_lessequals(tc_bool),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_False))*.
% 299.97/300.64 44745[0:Res:26.1,259.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(v,w,u),x)),y))* hBOOL(c_in(z,x,w))* -> hBOOL(c_in(hAPP(v,z),y,u))*.
% 299.97/300.64 45282[0:SpR:12624.0,87.2] || c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u,v,w,x,y) -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),v,x)) c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u,hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),x),v),w,x,y)*.
% 300.12/300.64 45252[0:SpR:12637.0,87.2] || c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u,v,c_Orderings_Otop__class_Otop(tc_bool),w,x) -> hBOOL(c_in(y,v,w)) c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u,hAPP(c_Set_Oinsert(y,w),v),c_Orderings_Otop__class_Otop(tc_bool),w,x)*.
% 300.12/300.64 45365[0:MRR:45349.2,5316.1] class_Orderings_Oorder(u) || c_Finite__Set_Ofold__graph(v,w,c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u),y,u,z)* -> c_Finite__Set_Ofold__graph(v,w,hAPP(c_fequal(u),x1),hAPP(hAPP(v,x1),y),u,z)*.
% 300.12/300.64 45366[0:MRR:45348.2,5184.1] class_Orderings_Oorder(u) || c_Finite__Set_Ofold__graph(v,w,c_SetInterval_Oord__class_OatLeastLessThan(x,x,u),y,u,z)* -> c_Finite__Set_Ofold__graph(v,w,hAPP(c_fequal(u),x1),hAPP(hAPP(v,x1),y),u,z)*.
% 300.12/300.64 46012[0:Res:513.1,259.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* hBOOL(c_in(x,v,u))* -> hBOOL(c_in(hAPP(y,x),hAPP(c_Set_Oimage(y,u,z),w),z))*.
% 300.12/300.64 46527[0:SpL:104.2,284.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(c_in(x,c_SetInterval_Oord__class_OatLeastLessThan(w,y,u),u))* -> hBOOL(c_in(x,c_SetInterval_Oord__class_OatLeastLessThan(v,y,u),u))*.
% 300.12/300.64 46519[0:SpL:104.2,3956.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastLessThan(w,x,u),y))* hBOOL(c_in(y,c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),u))* -> .
% 300.12/300.64 46452[0:SpR:104.2,137.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* c_Fun_Oinj__on(x,c_SetInterval_Oord__class_OatLeastLessThan(v,y,u),u,z)* -> c_Fun_Oinj__on(x,c_SetInterval_Oord__class_OatLeastLessThan(w,y,u),u,z)*.
% 300.12/300.64 47712[0:Obv:47711.3] || equal(c_False,u) hBOOL(c_in(v,w,x))* hBOOL(c_in(y,w,x))* c_Fun_Oinj__on(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w,x,z)* -> equal(v,y)*.
% 300.12/300.64 47715[0:Obv:47714.3] || equal(c_False,u) hBOOL(c_in(v,w,x))* hBOOL(c_in(y,w,x))* c_Fun_Oinj__on(c_SetInterval_Oord__class_OgreaterThanAtMost(z,u,tc_bool),w,x,x1)* -> equal(v,y)*.
% 300.12/300.64 47717[0:Obv:47716.3] || equal(c_False,u) hBOOL(c_in(v,w,x))* hBOOL(c_in(y,w,x))* c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastLessThan(z,u,tc_bool),w,x,x1)* -> equal(v,y)*.
% 300.12/300.64 47726[0:Obv:47725.3] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x))* hBOOL(c_in(y,w,x))* c_Fun_Oinj__on(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),w,x,z)* -> equal(v,y)*.
% 300.12/300.64 47728[0:Obv:47727.3] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x))* hBOOL(c_in(y,w,x))* c_Fun_Oinj__on(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),w,x,z)* -> equal(v,y)*.
% 300.12/300.64 47768[0:Obv:47767.2] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,v,w))* c_Fun_Oinj__on(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),v,w,z)* -> equal(u,x)*.
% 300.12/300.64 47770[0:Obv:47769.2] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,v,w))* c_Fun_Oinj__on(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),v,w,z)* -> equal(u,x)*.
% 300.12/300.64 47772[0:Obv:47771.2] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,v,w))* c_Fun_Oinj__on(c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,y),tc_fun(y,tc_bool)),v,w,z)* -> equal(u,x)*.
% 300.12/300.64 48934[0:SpL:13510.0,460.0] || equal(hAPP(u,hAPP(c_lessequals(tc_bool),c_False)),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_lessequals(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),c_False),hAPP(hAPP(v,c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_False))*.
% 300.12/300.64 48933[0:SpL:12718.0,460.0] || equal(hAPP(u,hAPP(c_fequal(tc_bool),c_False)),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_fequal(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),c_False),hAPP(hAPP(v,c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_False))*.
% 300.12/300.64 48878[0:SpL:15481.0,460.0] || equal(hAPP(u,hAPP(c_fequal(tc_bool),c_False)),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_fequal(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),c_False),hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_False))*.
% 300.12/300.64 48808[0:SpL:1088.0,460.0] || equal(hAPP(u,hAPP(v,w)),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,u),w),hAPP(hAPP(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False)),w))*.
% 300.12/300.64 48786[0:SpL:657.0,460.0] || equal(hAPP(u,hAPP(v,w)),x)* c_Record_Oiso__tuple__update__accessor__cong__assist(y,v,z,x1)* -> equal(hAPP(hAPP(y,u),w),hAPP(hAPP(y,c_COMBK(x,x2,x3)),w))*.
% 300.12/300.64 48766[0:SpL:9728.0,460.0] || equal(hAPP(u,hAPP(v,w)),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,u),w),hAPP(hAPP(x,c_SetInterval_Oord__class_OgreaterThanAtMost(x1,x1,tc_bool)),w))*.
% 300.12/300.64 48765[0:SpL:9002.0,460.0] || equal(hAPP(u,hAPP(v,w)),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,u),w),hAPP(hAPP(x,c_SetInterval_Oord__class_OgreaterThanAtMost(x1,c_False,tc_bool)),w))*.
% 300.12/300.64 48764[0:SpL:9428.0,460.0] || equal(hAPP(u,hAPP(v,w)),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,u),w),hAPP(hAPP(x,c_SetInterval_Oord__class_OatLeastLessThan(x1,x1,tc_bool)),w))*.
% 300.12/300.64 48763[0:SpL:8828.0,460.0] || equal(hAPP(u,hAPP(v,w)),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,u),w),hAPP(hAPP(x,c_SetInterval_Oord__class_OatLeastLessThan(x1,c_False,tc_bool)),w))*.
% 300.12/300.64 48539[0:SpL:1916.0,460.0] || equal(hAPP(u,v),hAPP(w,v)) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),y,z)* -> equal(hAPP(hAPP(x,u),v),hAPP(hAPP(x,w),v))*.
% 300.12/300.64 48538[0:SpL:1118.0,460.0] || equal(hAPP(u,c_False),hAPP(v,c_False)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),y,z)* -> equal(hAPP(hAPP(w,u),c_False),hAPP(hAPP(w,v),c_False))*.
% 300.12/300.64 48536[0:SpL:1088.0,460.0] || equal(hAPP(u,c_False),hAPP(v,c_False)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y)* -> equal(hAPP(hAPP(w,u),z),hAPP(hAPP(w,v),z))*.
% 300.12/300.64 48506[0:SpL:988.0,460.0] || equal(hAPP(u,v),hAPP(w,v))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),y,z)* -> equal(hAPP(hAPP(x,u),c_False),hAPP(hAPP(x,w),c_False))*.
% 300.12/300.64 48478[0:SpL:657.0,460.0] || equal(hAPP(u,v),hAPP(w,v))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,c_COMBK(v,y,z),x1,x2)* -> equal(hAPP(hAPP(x,u),x3),hAPP(hAPP(x,w),x3))*.
% 300.12/300.64 48470[0:SpL:956.0,460.0] || equal(hAPP(u,v),hAPP(w,v)) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),y,z)* -> equal(hAPP(hAPP(x,u),v),hAPP(hAPP(x,w),v))*.
% 300.12/300.64 48458[0:SpL:9728.0,460.0] || equal(hAPP(u,c_False),hAPP(v,c_False)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool),y,z)* -> equal(hAPP(hAPP(w,u),x1),hAPP(hAPP(w,v),x1))*.
% 300.12/300.64 48457[0:SpL:9002.0,460.0] || equal(hAPP(u,c_False),hAPP(v,c_False)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool),y,z)* -> equal(hAPP(hAPP(w,u),x1),hAPP(hAPP(w,v),x1))*.
% 300.12/300.64 48456[0:SpL:9428.0,460.0] || equal(hAPP(u,c_False),hAPP(v,c_False)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool),y,z)* -> equal(hAPP(hAPP(w,u),x1),hAPP(hAPP(w,v),x1))*.
% 300.12/300.64 48455[0:SpL:8828.0,460.0] || equal(hAPP(u,c_False),hAPP(v,c_False)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool),y,z)* -> equal(hAPP(hAPP(w,u),x1),hAPP(hAPP(w,v),x1))*.
% 300.12/300.64 49162[2:Res:791.0,47875.1] || equal(hAPP(hAPP(u,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v,u,w,x)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v,u,w,x)),c_False)** -> c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(u,x,w,t_a)),t_a).
% 300.12/300.64 49161[2:Res:792.0,47875.1] || equal(hAPP(hAPP(u,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(v,u,w,x)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v,u,w,x)),c_False)** -> c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(u,x,w,t_a)),t_a).
% 300.12/300.64 49160[2:Res:793.0,47875.1] || equal(hAPP(hAPP(u,v_sko__Hoare__Mirabelle__Xescape__1(v,u,w,x)),v_sko__Hoare__Mirabelle__Xescape__2(v,u,w,x)),c_False)** -> c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(u,x,w,t_a)),t_a).
% 300.12/300.64 50759[2:SpL:50419.1,352.0] || hBOOL(u) hBOOL(hAPP(c_False,v)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.64 50728[2:SpR:50419.1,265.1] || hBOOL(u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 50727[2:SpR:50419.1,435.1] || hBOOL(u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 300.12/300.64 53908[0:SpR:144.1,232.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),v)),w)))*.
% 300.12/300.64 53907[0:SpR:144.1,229.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),v)),w)))*.
% 300.12/300.64 53892[0:SpR:144.1,233.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x)),w)))*.
% 300.12/300.64 53891[0:SpR:144.1,228.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x)),w)))*.
% 300.12/300.64 54105[0:SSi:54035.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),x),u)* -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),x),u).
% 300.12/300.64 54106[0:SSi:54034.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),x),u)* -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),x),u).
% 300.12/300.64 54125[0:SSi:53890.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w)),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),x),u)*.
% 300.12/300.64 54126[0:SSi:53889.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w)),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),x),u)*.
% 300.12/300.64 54233[0:SpR:44.1,41.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)))*.
% 300.12/300.64 54232[0:SpR:44.1,37.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)))*.
% 300.12/300.64 54231[0:SpR:44.1,42.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x)))*.
% 300.12/300.64 54230[0:SpR:44.1,36.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x)))*.
% 300.12/300.64 54478[0:SSi:54252.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),u) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x),v)),w),u)*.
% 300.12/300.64 54479[0:SSi:54251.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),u) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),x)),w),u)*.
% 300.12/300.64 54489[0:SSi:54249.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),v)),w),u)*.
% 300.12/300.64 54490[0:SSi:54247.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),x)),w),u)*.
% 300.12/300.64 54554[0:Rew:54552.0,26390.0] || -> equal(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),hAPP(c_fequal(v),u))),x)),hAPP(c_Set_Oinsert(u,v),x))**.
% 300.12/300.64 54572[0:Rew:54571.0,41231.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> equal(hAPP(c_Set_Oinsert(x,u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w)),hAPP(c_Set_Oinsert(x,u),v))**.
% 300.12/300.64 54576[0:Rew:54571.0,41230.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> equal(hAPP(c_Set_Oinsert(x,u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),v)),hAPP(c_Set_Oinsert(x,u),v))**.
% 300.12/300.64 54669[0:SpR:143.1,232.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w))))*.
% 300.12/300.64 54668[0:SpR:143.1,229.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w))))*.
% 300.12/300.64 54652[0:SpR:143.1,233.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))))*.
% 300.12/300.64 54651[0:SpR:143.1,228.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))))*.
% 300.12/300.64 54873[0:SSi:54799.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x)),u)* -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),u).
% 300.12/300.64 54874[0:SSi:54798.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x)),u)* -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),x),u).
% 300.12/300.64 54902[0:SSi:54650.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),x),u)*.
% 300.12/300.64 54903[0:SSi:54649.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),u)*.
% 300.12/300.64 55038[0:SpR:45.1,41.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x)))*.
% 300.12/300.64 55037[0:SpR:45.1,37.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x)))*.
% 300.12/300.64 55036[0:SpR:45.1,42.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)))*.
% 300.12/300.64 55035[0:SpR:45.1,36.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)))*.
% 300.12/300.64 55285[0:SSi:55059.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),u) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),x),w)),u)*.
% 300.12/300.64 55286[0:SSi:55058.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),u) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),x)),u)*.
% 300.12/300.64 55304[0:SSi:55056.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),x),w)),u)*.
% 300.12/300.64 55305[0:SSi:55054.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),x)),u)*.
% 300.12/300.64 55498[2:SpR:50425.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 300.12/300.64 55497[2:SpR:50425.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 55927[0:Res:320.0,362.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),tc_fun(u,tc_bool)),x),tc_fun(u,tc_bool)),v)),w))*.
% 300.12/300.64 56135[0:SpR:9856.0,363.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),v)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),v)).
% 300.12/300.64 56134[0:SpR:8975.0,363.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),v)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),v)).
% 300.12/300.64 56133[0:SpR:9623.0,363.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),v)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),v)).
% 300.12/300.64 56132[0:SpR:8802.0,363.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),v)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),v)).
% 300.12/300.64 56126[0:SpR:685.0,363.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)),c_COMBK(c_False,tc_bool,u)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)).
% 300.12/300.64 56489[0:SpL:515.0,183.0] || c_Fun_Oinj__on(u,hAPP(c_Set_Oimage(v,w,x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),y),z)),x,x1)* -> c_Fun_Oinj__on(u,hAPP(c_Set_Oimage(v,w,x),y),x,x1).
% 300.12/300.64 56488[0:SpL:515.0,182.0] || c_Fun_Oinj__on(u,hAPP(c_Set_Oimage(v,w,x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),y),z)),x,x1)* -> c_Fun_Oinj__on(u,hAPP(c_Set_Oimage(v,w,x),z),x,x1).
% 300.12/300.64 56487[0:SpL:515.0,1473.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oimage(v,w,tc_Hoare__Mirabelle_Otriple(x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),y),z)),x)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oimage(v,w,tc_Hoare__Mirabelle_Otriple(x)),y),x).
% 300.12/300.64 56486[0:SpL:515.0,1485.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oimage(v,w,tc_Hoare__Mirabelle_Otriple(x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),y),z)),x)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_Set_Oimage(v,w,tc_Hoare__Mirabelle_Otriple(x)),z),x).
% 300.12/300.64 56432[0:SpR:515.0,3270.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Set_Oimage(w,x,tc_Hoare__Mirabelle_Otriple(v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),z))),hAPP(c_Set_Oimage(w,x,tc_Hoare__Mirabelle_Otriple(v)),z),v)*.
% 300.12/300.64 56431[0:SpR:515.0,1476.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Set_Oimage(w,x,tc_Hoare__Mirabelle_Otriple(v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),z))),hAPP(c_Set_Oimage(w,x,tc_Hoare__Mirabelle_Otriple(v)),y),v)*.
% 300.12/300.64 56429[0:SpR:515.0,474.1] || hBOOL(c_in(u,hAPP(c_Set_Oimage(v,w,x),y),x)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(v,w,x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),z),y)),x))*.
% 300.12/300.64 56415[0:SpR:515.0,475.1] || hBOOL(c_in(u,hAPP(c_Set_Oimage(v,w,x),y),x)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(v,w,x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),y),z)),x))*.
% 300.12/300.64 56935[0:Rew:611.0,56599.1] || hBOOL(c_in(hAPP(u,v),hAPP(c_Set_Oimage(u,w,x),y),x))* c_Fun_Oinj__on(u,hAPP(c_Set_Oinsert(v,w),y),w,x)* -> hBOOL(c_in(v,y,w)).
% 300.12/300.64 56938[0:MRR:56937.0,1055.0] || c_Fun_Oinj__on(c_COMBK(u,v,w),hAPP(c_Set_Oinsert(x,w),y),w,v)* -> equal(hAPP(c_HOL_Ominus__class_Ominus(y,tc_fun(w,tc_bool)),hAPP(c_fequal(w),x)),c_COMBK(c_False,tc_bool,w)).
% 300.12/300.64 58392[0:SpL:54070.0,461.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),v)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x,y)* -> equal(hAPP(hAPP(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v)),v),v)**.
% 300.12/300.64 58274[0:SpR:54070.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),y,u)))*.
% 300.12/300.64 58273[0:SpR:54070.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),y,u)),w))*.
% 300.12/300.64 58411[0:SSi:58370.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))**.
% 300.12/300.64 58412[0:SSi:58369.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))**.
% 300.12/300.64 58413[0:SSi:58365.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u)),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))**.
% 300.12/300.64 58417[0:SSi:58296.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))**.
% 300.12/300.64 58420[0:SSi:58419.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w))),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w))**.
% 300.12/300.64 58512[0:SpL:58351.0,460.0] || equal(hAPP(u,v),hAPP(w,v)) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),y,z)* -> equal(hAPP(hAPP(x,u),v),hAPP(hAPP(x,w),v))*.
% 300.12/300.64 58643[0:SpR:54071.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),y)),x,u)))*.
% 300.12/300.64 58642[0:SpR:54071.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),y)),x,u)),v))*.
% 300.12/300.64 58803[0:SSi:58745.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))**.
% 300.12/300.64 58804[0:SSi:58744.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w))**.
% 300.12/300.64 58805[0:SSi:58724.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))**.
% 300.12/300.64 58807[0:SSi:58806.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))**.
% 300.12/300.64 58816[0:SSi:58815.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))**.
% 300.12/300.64 59030[0:SpR:54074.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),v)),x,u)))*.
% 300.12/300.64 59029[0:SpR:54074.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),v)),x,u)),v))*.
% 300.12/300.64 59191[0:SSi:59133.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w))**.
% 300.12/300.64 59192[0:SSi:59132.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w))**.
% 300.12/300.64 59193[0:SSi:59131.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w))**.
% 300.12/300.64 59195[0:SSi:59194.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))**.
% 300.12/300.64 59203[0:SSi:59202.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w)),v))**.
% 300.12/300.64 59285[0:SpR:54075.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),y),v)),x,u)))*.
% 300.12/300.64 59284[0:SpR:54075.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),y),v)),x,u)),v))*.
% 300.12/300.64 59445[0:SSi:59399.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w))**.
% 300.12/300.64 59446[0:SSi:59398.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w))**.
% 300.12/300.64 59447[0:SSi:59394.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))**.
% 300.12/300.64 59456[0:SSi:59455.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)),v))**.
% 300.12/300.64 59709[0:SpL:54440.0,461.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),v)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,y)* -> equal(hAPP(hAPP(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v)),v),v)**.
% 300.12/300.64 59591[0:SpR:54440.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),y,u)))*.
% 300.12/300.64 59590[0:SpR:54440.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),y,u)),w))*.
% 300.12/300.64 59722[0:SSi:59685.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))**.
% 300.12/300.64 59723[0:SSi:59684.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u)),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))**.
% 300.12/300.64 59724[0:SSi:59683.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))**.
% 300.12/300.64 59729[0:SSi:59728.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w))**.
% 300.12/300.64 59733[0:SpR:54831.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),y)),x,u)))*.
% 300.12/300.64 59732[0:SpR:54831.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),y)),x,u)),v))*.
% 300.12/300.64 59903[0:SSi:59849.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))**.
% 300.12/300.64 59904[0:SSi:59844.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w))**.
% 300.12/300.64 59905[0:SSi:59826.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))**.
% 300.12/300.64 59907[0:SSi:59906.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))**.
% 300.12/300.64 59917[0:SSi:59916.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)))**.
% 300.12/300.64 60136[0:SpL:54836.0,461.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),u) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,y)* -> equal(hAPP(hAPP(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),v),v)**.
% 300.12/300.64 60014[0:SpR:54836.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),y,u)))*.
% 300.12/300.64 60013[0:SpR:54836.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),y,u)),v))*.
% 300.12/300.64 60147[0:SSi:60112.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))**.
% 300.12/300.64 60148[0:SSi:60111.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))**.
% 300.12/300.64 60149[0:SSi:60089.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))**.
% 300.12/300.64 60156[0:SSi:60155.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)))**.
% 300.12/300.64 60341[0:SpL:54837.0,461.0] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),u) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x,y)* -> equal(hAPP(hAPP(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)),v),v)**.
% 300.12/300.64 60212[0:SpR:54837.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),y,u)))*.
% 300.12/300.64 60211[0:SpR:54837.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),y,u)),v))*.
% 300.12/300.64 60353[0:SSi:60317.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))**.
% 300.12/300.64 60354[0:SSi:60312.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w)),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))**.
% 300.12/300.64 60355[0:SSi:60294.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))**.
% 300.12/300.64 60360[0:SSi:60359.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)))**.
% 300.12/300.64 61586[0:SpL:61339.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(hAPP(hAPP(c_lessequals(u),c_False),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),u)),w))*.
% 300.12/300.64 61547[0:SpR:61339.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),y,u)))*.
% 300.12/300.64 61546[0:SpR:61339.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),y,u)),c_False))*.
% 300.12/300.64 61959[0:MRR:61951.0,416.0] || c_Nitpick_Ofold__graph_H(u,v,w,x,y,z) -> hBOOL(c_in(x1,w,y)) c_Nitpick_Ofold__graph_H(u,v,hAPP(c_Set_Oinsert(x1,y),w),hAPP(hAPP(u,x1),x),y,z)*.
% 300.12/300.64 63005[0:SpR:336.0,237.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)),hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),v),tc_fun(u,tc_bool)),w)))*.
% 300.12/300.64 62975[0:SpR:336.0,236.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)),hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),x),tc_fun(u,tc_bool)),w)))*.
% 300.12/300.64 62973[0:SpR:336.0,428.1] || hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),x)) -> hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),y),u),tc_fun(v,tc_bool)),w),x))*.
% 300.12/300.64 62972[0:SpR:336.0,429.1] || hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),x)) -> hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),y),tc_fun(v,tc_bool)),w),x))*.
% 300.12/300.64 64080[0:SpL:63990.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool),v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool)),u))*.
% 300.12/300.64 64056[0:SpR:63990.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,tc_fun(w,tc_bool))))*.
% 300.12/300.64 64055[0:SpR:63990.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,tc_fun(w,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 64622[0:Res:92.1,477.1] class_Lattices_Olattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))))*.
% 300.12/300.64 64621[0:Res:92.1,476.1] class_Lattices_Olattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w))))*.
% 300.12/300.64 64588[0:Res:92.1,169.1] class_Lattices_Olattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x))),v))*.
% 300.12/300.64 65456[0:Res:93.1,477.1] class_Lattices_Olattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x))))*.
% 300.12/300.64 65423[0:Res:93.1,170.1] class_Lattices_Olattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x)))*.
% 300.12/300.64 65422[0:Res:93.1,169.1] class_Lattices_Olattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)))*.
% 300.12/300.64 66072[0:MRR:66071.2,49965.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_bool)))*.
% 300.12/300.64 66384[0:MRR:66383.2,49965.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_bool)))*.
% 300.12/300.64 66643[0:SpR:508.0,237.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,w,x,tc_fun(u,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),v),w,x,tc_fun(u,tc_bool))))*.
% 300.12/300.64 66611[0:SpR:508.0,236.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,w,x,tc_fun(u,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),v),y),w,x,tc_fun(u,tc_bool))))*.
% 300.12/300.64 66609[0:SpR:508.0,428.1] || hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,v,w,tc_fun(x,tc_bool)),y)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),z),u),v,w,tc_fun(x,tc_bool)),y))*.
% 300.12/300.64 66608[0:SpR:508.0,429.1] || hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,v,w,tc_fun(x,tc_bool)),y)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u),z),v,w,tc_fun(x,tc_bool)),y))*.
% 300.12/300.64 68544[0:MRR:68543.2,49965.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_bool)))*.
% 300.12/300.64 68873[0:MRR:68872.2,49965.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_bool)))*.
% 300.12/300.64 70065[0:MRR:42683.1,70064.0] || c_Fun_Oinj__on(c_COMBK(u,v,w),x,w,v) -> equal(x,c_COMBK(c_False,tc_bool,w)) c_Fun_Oinj__on(c_Fun_Ocomp(y,c_COMBK(u,v,w),v,z,w),x,w,z)*.
% 300.12/300.64 70219[0:SpR:818.1,6015.0] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),z),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x1,u,x,w,y),w,y),v)),y))*.
% 300.12/300.64 70210[0:SpR:818.1,2648.1] || hBOOL(c_in(u,v,w)) hBOOL(hAPP(hAPP(c_fequal(x),y),z)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x1,u,y,w,x),w,x),v),z))*.
% 300.12/300.64 70192[0:SpR:818.1,2650.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(c_fequal(x),y)),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(z,u,y,w,x),w,x),v)))*.
% 300.12/300.64 70941[0:SpL:68028.1,461.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(hAPP(c_fequal(tc_bool),u),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_fequal(tc_bool),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),u),u)**.
% 300.12/300.64 70985[0:SpR:206.3,8975.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),c_False))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool)).
% 300.12/300.64 71798[0:SpR:100.3,8802.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),c_False))* -> equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,v,tc_bool)).
% 300.12/300.64 72420[0:SpR:99.3,8975.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),c_False))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,v,tc_bool)).
% 300.12/300.64 74826[0:SpR:771.1,73586.1] || hBOOL(c_in(v_x,c_Set_Oimage(c_COMBK(u,v,w),w,v),t_a))* -> equal(c_COMBK(c_False,tc_bool,w),v_x) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(c_fequal(v),u))).
% 300.12/300.64 78027[0:Obv:78026.2] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,v,w))* c_Fun_Oinj__on(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool),tc_fun(tc_bool,tc_bool)),v,w,z)* -> equal(u,x)*.
% 300.12/300.64 78400[0:Obv:78399.2] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,v,w))* c_Fun_Oinj__on(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool),tc_fun(tc_bool,tc_bool)),v,w,z)* -> equal(u,x)*.
% 300.12/300.64 78813[0:SpR:24608.0,131.1] || -> equal(u,v) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),u,x,y,z),v,c_Orderings_Otop__class_Otop(tc_bool),y,z),c_Fun_Ofun__upd(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),u,x,y,z))**.
% 300.12/300.64 78920[0:SSi:78884.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),w),v))* equal(c_False,v) -> equal(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w))*.
% 300.12/300.64 79407[2:SpL:803.2,49064.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_False)** -> .
% 300.12/300.64 79406[2:SpL:802.2,49064.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_False)** -> .
% 300.12/300.64 79624[0:SpL:2651.0,78858.0] || equal(hAPP(c_Set_Oinsert(u,v),w),c_False)** equal(hAPP(c_fequal(v),u),c_False) -> equal(hAPP(c_fequal(v),u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),tc_bool))*.
% 300.12/300.64 79615[0:SpL:3333.0,78858.0] || equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w)),c_False)** equal(hAPP(c_fequal(v),u),c_False) -> equal(hAPP(c_fequal(v),u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(w,v),tc_bool)).
% 300.12/300.64 79498[0:SpL:771.1,78858.0] || equal(hAPP(c_fequal(u),v),c_False) equal(c_False,w) -> equal(w,c_COMBK(c_False,tc_bool,x)) equal(w,c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oimage(c_COMBK(v,u,x),x,u),tc_bool))*.
% 300.12/300.64 80085[0:Obv:79631.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),c_False)** -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),tc_bool)).
% 300.12/300.64 80442[0:Res:13271.0,79861.0] || equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_False)** -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80441[0:Res:10493.0,79861.0] || equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_False)** -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),c_Complete__Lattice_OInf__class_OInf(tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80431[0:Res:733.1,79861.0] class_Orderings_Oorder(u) || equal(hAPP(c_HOL_Oord__class_Oless(u),v),c_False)** -> equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,u)) equal(hAPP(c_HOL_Oord__class_Oless(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80430[0:Res:734.1,79861.0] class_Orderings_Oorder(u) || equal(hAPP(c_HOL_Oord__class_Oless(u),v),c_False)** -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,u),c_COMBK(c_False,tc_bool,u)) equal(hAPP(c_HOL_Oord__class_Oless(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80422[0:Res:16121.0,79861.0] || equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_False)** -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80414[0:Res:724.1,79861.0] class_Orderings_Oorder(u) || equal(hAPP(c_lessequals(u),v),c_False)** -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,u),c_COMBK(c_False,tc_bool,u)) equal(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80413[0:Res:450.2,79861.0] class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),c_False),c_False)** equal(hAPP(c_lessequals(u),v),c_False) -> equal(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80412[0:Res:165.2,79861.0] class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_False),v)** equal(hAPP(c_lessequals(u),v),c_False) -> equal(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80403[0:Res:26200.0,79861.0] || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),u),v_x)),c_False)** -> equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),u),v_x)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80341[0:Res:3226.0,79861.0] || equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_False)** -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80254[0:SpL:5674.2,79861.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),c_False)** -> equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80253[0:SpL:5789.2,79861.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_Orderings_Obot__class_Obot(u)) equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),c_False)** -> equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80238[0:SpL:5441.2,79861.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),c_False)** -> equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80237[0:SpL:5861.2,79861.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_Orderings_Otop__class_Otop(u)) equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),c_False)** -> equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80235[0:SpL:65.1,79861.0] || hBOOL(hAPP(u,c_False)) equal(c_Fun_Ofun__upd(u,v,w,x,y),c_False)** -> equal(c_False,v) equal(c_Fun_Ofun__upd(u,v,w,x,y),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80487[0:Rew:80024.1,80387.3] class_Lattices_Obounded__lattice(u) class_Lattices_Oupper__semilattice(u) || equal(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80488[0:Rew:80024.1,80386.3] class_Lattices_Obounded__lattice(u) class_Lattices_Olattice(u) || equal(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80489[0:Rew:80024.1,80385.3] class_Lattices_Obounded__lattice(u) class_Lattices_Olower__semilattice(u) || equal(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 81638[0:SpR:770.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Set_Oinsert(u,v),w)),hAPP(hAPP(c_Set_Oinsert(x,y),c_Set_Oinsert(u,v)),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),hAPP(c_fequal(v),u)))))*.
% 300.12/300.64 81522[0:SpR:771.1,24254.0] || -> equal(u,c_COMBK(c_False,tc_bool,v)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(w),x)),hAPP(hAPP(c_Set_Oinsert(y,z),c_Set_Oimage(c_COMBK(x,w,v),v,w)),u)))*.
% 300.12/300.64 81468[0:SpR:803.2,24254.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),x)),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),x)))*.
% 300.12/300.64 81467[0:SpR:802.2,24254.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),x)),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),x)))*.
% 300.12/300.64 82080[0:SpL:82006.0,461.0] || equal(hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,hAPP(c_Set_Oinsert(w,x),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),y,z)* -> equal(hAPP(hAPP(v,u),c_False),c_False)**.
% 300.12/300.64 82078[0:SpL:82006.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_False)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Set_Oinsert(v,w),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),u)),c_False))*.
% 300.12/300.64 82050[0:SpR:82006.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_False,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Set_Oinsert(x,y),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),w,u)))*.
% 300.12/300.64 82049[0:SpR:82006.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_False,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Set_Oinsert(x,y),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),w,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 82137[0:SpR:82115.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Fun_Ofun__upd(u,v,c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),w,x),x,y,w),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,x,y,w),v,c_False,w,y))*.
% 300.12/300.64 82127[0:SpR:82115.0,326.1] || hBOOL(c_in(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u,v)) -> equal(hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u)),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u))**.
% 300.12/300.64 82378[0:SpR:82160.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 300.12/300.64 82377[0:SpR:82160.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_False))*.
% 300.12/300.64 82909[2:SpL:803.2,49049.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),x))* equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),x),c_False) -> .
% 300.12/300.64 82908[2:SpL:802.2,49049.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(hAPP(c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),x))* equal(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),x),c_False) -> .
% 300.12/300.64 83213[0:SpR:770.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),w,x),hAPP(c_Set_Oinsert(hAPP(c_HOL_Ominus__class_Ominus(y,tc_fun(v,tc_bool)),hAPP(c_fequal(v),u)),w),z)),hAPP(c_Set_Oinsert(u,v),y)))*.
% 300.12/300.64 83097[0:SpR:771.1,22323.0] || -> equal(u,c_COMBK(c_False,tc_bool,v)) hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(c_COMBK(w,x,v),v,x),y,z),hAPP(c_Set_Oinsert(u,y),x1)),hAPP(c_fequal(x),w)))*.
% 300.12/300.64 85284[0:Rew:677.0,85050.4] class_Orderings_Obot(u) class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),c_SetInterval_Oord__class_OatLeastLessThan(c_Orderings_Obot__class_Obot(u),w,u))*.
% 300.12/300.64 85291[0:MRR:85290.4,368.1] class_Orderings_Obot(u) class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Obot__class_Obot(u),w,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u))*.
% 300.12/300.64 85802[0:Rew:699.0,85473.4] class_Orderings_Otop(u) class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(u),v,u),hAPP(c_fequal(u),v)).
% 300.12/300.64 85810[0:MRR:85809.3,465.1] class_Orderings_Otop(u) class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> equal(c_SetInterval_Oord__class_OatLeastLessThan(w,c_Orderings_Otop__class_Otop(u),u),c_SetInterval_Oord__class_OatLeastLessThan(w,v,u))*.
% 300.12/300.64 86136[0:Rew:699.0,85908.4] class_Orderings_Obot(u) class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Obot__class_Obot(u),u),hAPP(c_fequal(u),v)).
% 300.12/300.64 86137[0:Rew:86136.4,85282.4] class_Orderings_Obot(u) class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> equal(hAPP(c_fequal(u),c_Orderings_Obot__class_Obot(u)),hAPP(c_fequal(u),v)).
% 300.12/300.64 86142[0:MRR:86141.4,368.1] class_Orderings_Obot(u) class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u)))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_Orderings_Obot__class_Obot(u),w,u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u))*.
% 300.12/300.64 86603[0:Rew:85802.4,86602.4] class_Orderings_Otop(u) class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> equal(hAPP(c_fequal(u),c_Orderings_Otop__class_Otop(u)),hAPP(c_fequal(u),v)).
% 300.12/300.64 86607[0:MRR:86606.3,465.1] class_Orderings_Otop(u) class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_Orderings_Otop__class_Otop(u),u),c_SetInterval_Oord__class_OgreaterThanAtMost(w,v,u))*.
% 300.12/300.64 86609[0:MRR:86608.3,465.1] class_Orderings_Otop(u) class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(w,c_Orderings_Otop__class_Otop(u),u),c_SetInterval_Oord__class_OatLeastAtMost(w,v,u))*.
% 300.12/300.64 86657[0:SpL:86619.1,352.0] || hBOOL(u) hBOOL(hAPP(c_False,v)) hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.64 86632[0:SpR:86619.1,265.1] || hBOOL(u) hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 86631[0:SpR:86619.1,435.1] || hBOOL(u) hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 300.12/300.64 86795[0:Rew:80024.1,86768.2] || equal(c_COMBK(c_False,tc_bool,u),c_False) equal(hAPP(c_Set_Oinsert(v,u),w),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,u),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool)),tc_bool))*.
% 300.12/300.64 87418[0:Res:225.1,86811.0] || c_Finite__Set_Ofold__graph(u,v,w,x,y,y)* hBOOL(x) -> hBOOL(c_in(v,w,y)) hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Finite__Set_Ofold1Set(u,hAPP(c_Set_Oinsert(v,y),w),y)))*.
% 300.12/300.64 87337[0:Res:83.3,86811.0] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,u))* c_Finite__Set_Ofinite(w,u) hBOOL(v) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(u),w,u))))*.
% 300.12/300.64 87010[0:SpL:335.1,86811.0] class_HOL_Ominus(u) || hBOOL(hAPP(c_HOL_Ominus__class_Ominus(hAPP(v,v_x),u),hAPP(w,v_x))) hBOOL(v_x) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(t_a,u)),w)))*.
% 300.12/300.64 88509[0:SpL:795.0,10584.0] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(v)),x)),y,v)* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),y,v).
% 300.12/300.64 88507[0:SpL:266.1,10584.0] || hBOOL(c_in(u,v,tc_Hoare__Mirabelle_Otriple(w)))* c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),v),y,w)* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(w)),x),y,w)*.
% 300.12/300.64 88532[0:SpR:22632.0,326.1] || hBOOL(c_in(u,hAPP(c_fequal(v),w),v))* -> equal(hAPP(c_Set_Oinsert(hAPP(x,u),y),hAPP(c_fequal(y),hAPP(x,w))),hAPP(c_fequal(y),hAPP(x,w)))**.
% 300.12/300.64 88868[0:SpR:613.0,22324.0] || -> hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x)),hAPP(c_Set_Oimage(c_Set_Oinsert(w,v),y,z),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(u,v),x),y),x1)),z))*.
% 300.12/300.64 88699[0:SpR:818.1,22324.0] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(hAPP(x,y),hAPP(c_Set_Oimage(x,z,x1),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x2,u,y,w,z),w,z),v)),x1))*.
% 300.12/300.64 89542[0:Res:15156.0,71.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),tc_fun(u,tc_bool))),v))* equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),tc_fun(u,tc_bool)),v).
% 300.12/300.64 90377[0:SpR:5566.0,361.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x,y))* -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),y,z),x),z))*.
% 300.12/300.64 90680[0:SpL:90441.0,331.1] || hBOOL(c_in(u,v,w)) hBOOL(c_in(x,u,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(z,tc_bool)),u),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.64 90758[0:SpR:90717.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 300.12/300.64 90757[0:SpR:90717.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 90828[0:SpR:5568.0,361.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x,y))* -> hBOOL(c_in(w,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),y,z),x),z))*.
% 300.12/300.64 91120[0:SpR:8036.0,361.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),x,y))* -> hBOOL(c_in(w,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),y,z),x),z))*.
% 300.12/300.64 91408[0:SpL:410.0,89691.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),x)))* -> .
% 300.12/300.64 91434[0:SpR:8037.0,361.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),x,y))* -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),y,z),x),z))*.
% 300.12/300.64 92223[0:SpL:803.2,84466.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool))) -> hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,v,tc_bool)))*.
% 300.12/300.64 92222[0:SpL:802.2,84466.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool))) -> hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,v,tc_bool)))*.
% 300.12/300.64 92274[0:SpR:803.2,84656.1] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastLessThan(u,v,tc_bool)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool))).
% 300.12/300.64 92273[0:SpR:802.2,84656.1] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(u,v,tc_bool)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool))).
% 300.12/300.64 92409[0:SpR:771.1,86793.0] || -> equal(c_COMBK(c_False,tc_bool,u),v_x) equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(v),w),tc_bool),hAPP(hAPP(c_Set_Oinsert(x,t_a),c_Set_Oimage(c_COMBK(w,v,u),u,v)),v_x)),c_False)**.
% 300.12/300.64 92359[0:SpR:803.2,86793.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),u),v)) -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_SetInterval_Oord__class_OatLeastLessThan(u,v,t_a),v_x),tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,v,t_a),v_x)),c_False)**.
% 300.12/300.64 92358[0:SpR:802.2,86793.0] class_Orderings_Olinorder(t_a) || hBOOL(hAPP(hAPP(c_lessequals(t_a),u),v)) -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_SetInterval_Oord__class_OgreaterThanAtMost(u,v,t_a),v_x),tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(u,v,t_a),v_x)),c_False)**.
% 300.12/300.64 92906[0:SpR:104.2,24257.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(w,x,u),y)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(v,x,u),y)))*.
% 300.12/300.64 93007[0:SpR:54506.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),u)),w,z),v),z))*.
% 300.12/300.64 93359[0:SpL:93108.0,461.0] || equal(hAPP(u,v),v) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),hAPP(c_Set_Oinsert(y,x),v)),z,x1)* -> equal(hAPP(hAPP(w,u),v),v)**.
% 300.12/300.64 93408[0:SSi:93326.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(v,u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),w)),tc_fun(u,tc_bool)),w)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),w))**.
% 300.12/300.64 93429[0:Rew:93428.0,26389.0] || -> equal(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),hAPP(c_fequal(v),u)),w)),x)),hAPP(c_Set_Oinsert(u,v),x))**.
% 300.12/300.64 93540[0:SpR:55320.0,361.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u),y)),w,z),v),z))*.
% 300.12/300.64 94253[0:Res:87830.1,364.1] class_Complete__Lattice_Ocomplete__lattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),tc_fun(u,v)),y)),hAPP(x,y)))*.
% 300.12/300.64 94248[0:Res:87830.1,166.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),u)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),u))**.
% 300.12/300.64 94239[0:Res:87830.1,58.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),v),u)),w))*.
% 300.12/300.64 94238[0:Res:87830.1,485.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),v),u)),w))*.
% 300.12/300.64 94237[0:Res:87830.1,52.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),u)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x)).
% 300.12/300.64 94236[0:Res:87830.1,484.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x)).
% 300.12/300.64 94277[0:SSi:94228.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),v),tc_fun(u,tc_bool))),w))*.
% 300.12/300.64 94278[0:SSi:94227.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),v),tc_fun(u,tc_bool))),w))*.
% 300.12/300.64 94799[0:Res:17248.0,71.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),hAPP(c_Set_Oinsert(x,u),v))))* equal(hAPP(c_Set_Oinsert(w,u),hAPP(c_Set_Oinsert(x,u),v)),v).
% 300.12/300.64 95042[0:SpR:515.0,10597.1] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oimage(u,v,tc_Hoare__Mirabelle_Otriple(w)),x),y,w) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oimage(u,v,tc_Hoare__Mirabelle_Otriple(w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),z),x)),y,w)*.
% 300.12/300.64 95076[0:SSi:95038.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w,u) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),hAPP(c_Set_Oinsert(x,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v)),w,u)*.
% 300.12/300.64 95277[0:SpR:515.0,10598.1] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oimage(u,v,tc_Hoare__Mirabelle_Otriple(w)),x),y,w) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oimage(u,v,tc_Hoare__Mirabelle_Otriple(w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),z)),y,w)*.
% 300.12/300.64 95525[0:SSi:95498.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w)),x,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),x,u).
% 300.12/300.64 95933[0:SpL:13635.1,78858.0] || equal(u,c_False) equal(hAPP(c_fequal(v),w),c_False) -> hBOOL(c_in(w,u,v))* equal(hAPP(c_fequal(v),w),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),tc_bool))*.
% 300.12/300.64 95860[0:SpR:13635.1,361.1] || hBOOL(c_in(hAPP(c_fequal(u),v),w,x))* -> hBOOL(c_in(v,y,u))* hBOOL(c_in(y,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(y,tc_fun(u,tc_bool)),x,z),w),z))*.
% 300.12/300.64 95951[0:MRR:95950.3,1059.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),w))* hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),x))* -> hBOOL(c_in(v,x,u))*.
% 300.12/300.64 95953[0:MRR:95916.3,95916.4,80847.1,49429.1] class_OrderedGroup_Opordered__ab__group__add(tc_fun(u,tc_bool)) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_fequal(u),w)))* equal(v,hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(u,tc_bool)),y))* -> .
% 300.12/300.64 96613[0:Res:13346.0,352.0] || hBOOL(c_in(u,v,w))* -> equal(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),u)* hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Oord__class_Oless(tc_fun(x,tc_bool)),w,tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))))*.
% 300.12/300.64 96610[0:Res:13346.0,55.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v))* -> equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),w) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),w),v))*.
% 300.12/300.64 96622[0:SSi:96597.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* -> equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),w) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))*.
% 300.12/300.64 96970[0:Res:13347.0,352.0] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> equal(x,c_COMBK(c_False,tc_bool,u)) hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),w,tc_fun(y,tc_bool)),x))*.
% 300.12/300.64 96967[0:Res:13347.0,55.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* -> equal(v,c_COMBK(c_False,tc_bool,u)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),w))*.
% 300.12/300.64 96983[0:SSi:96954.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_COMBK(c_False,tc_bool,u)))* -> equal(w,c_COMBK(c_False,tc_bool,u)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))*.
% 300.12/300.64 97120[0:SpL:405.0,11219.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_Set_Oimage(u,v,w),x),hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(y,v),x)),tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(w,tc_bool)))** -> .
% 300.12/300.64 97139[0:SpL:803.2,94804.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(x,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),u)* -> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),u).
% 300.12/300.64 97138[0:SpL:802.2,94804.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(x,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),u)* -> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),u).
% 300.12/300.64 97626[0:Res:24259.0,352.0] || hBOOL(c_in(hAPP(u,v),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(tc_bool),x,tc_fun(y,tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(z,tc_bool)),u),x1),v)))*.
% 300.12/300.64 97526[0:SpR:13635.1,24259.0] || -> hBOOL(c_in(u,v,w)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool))),y),hAPP(c_fequal(w),u))))*.
% 300.12/300.64 97430[0:SpR:8037.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u)),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),u),y))))*.
% 300.12/300.64 97429[0:SpR:8036.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u)),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),y),u))))*.
% 300.12/300.64 97428[0:SpR:5568.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),u)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),y),u))))*.
% 300.12/300.64 97427[0:SpR:5566.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),u)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u),y))))*.
% 300.12/300.64 97404[0:SpR:2651.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Set_Oinsert(u,v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w)),y),hAPP(c_fequal(v),u))))*.
% 300.12/300.64 97395[0:SpR:3333.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w))),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_Set_Oinsert(w,v)),y),hAPP(c_fequal(v),u))))*.
% 300.12/300.64 97382[0:SpR:54506.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),u))),y),u)))*.
% 300.12/300.64 97368[0:SpR:55320.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u),x))),y),u)))*.
% 300.12/300.64 97351[0:SpR:341.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w)),y),v)))*.
% 300.12/300.64 97311[0:SpR:757.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Set_Oinsert(u,v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_fequal(v),u))),y),w)))*.
% 300.12/300.64 97273[0:SpR:3059.1,24259.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_Set_Oinsert(x,v)),y),u)))*.
% 300.12/300.64 97218[0:SpR:515.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Set_Oimage(u,v,w),x),y)),hAPP(hAPP(c_Set_Oimage(u,v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),z)),y)))*.
% 300.12/300.64 97661[0:SSi:97625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(u,v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u),x),v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u),x),v))**.
% 300.12/300.64 98136[0:Res:24260.0,352.0] || hBOOL(c_in(hAPP(u,v),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(tc_bool),x,tc_fun(y,tc_bool)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(z,tc_bool)),x1),u),v)))*.
% 300.12/300.64 98036[0:SpR:13635.1,24260.0] || -> hBOOL(c_in(u,v,w)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool))),hAPP(c_fequal(w),u))))*.
% 300.12/300.64 97940[0:SpR:8037.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),u),y))))*.
% 300.12/300.64 97939[0:SpR:8036.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),y),u))))*.
% 300.12/300.64 97938[0:SpR:5568.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),u)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),u))))*.
% 300.12/300.64 97937[0:SpR:5566.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),u)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u),y))))*.
% 300.12/300.64 97914[0:SpR:2651.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Set_Oinsert(u,v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w)),hAPP(c_fequal(v),u))))*.
% 300.12/300.64 97905[0:SpR:3333.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w))),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),c_Set_Oinsert(w,v)),hAPP(c_fequal(v),u))))*.
% 300.12/300.64 97892[0:SpR:54506.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),u))),u)))*.
% 300.12/300.64 97878[0:SpR:55320.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u),y))),u)))*.
% 300.12/300.64 97861[0:SpR:341.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w)),v)))*.
% 300.12/300.64 97821[0:SpR:757.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Set_Oinsert(u,v),w)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_fequal(v),u))),w)))*.
% 300.12/300.64 97783[0:SpR:3059.1,24260.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),c_Set_Oinsert(y,v)),u)))*.
% 300.12/300.64 97728[0:SpR:515.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Set_Oimage(u,v,w),x),y)),hAPP(hAPP(c_Set_Oimage(u,v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),z),x)),y)))*.
% 300.12/300.64 98170[0:SSi:98135.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(u,v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),u),v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),u),v))**.
% 300.12/300.64 98199[0:Res:1392.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),x),u,z),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.64 98195[0:Res:1392.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,v),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),v),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),u,z,tc_fun(w,tc_bool)),w)*.
% 300.12/300.64 98289[0:Res:5045.2,352.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* hBOOL(c_in(v,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_lessequals(u),y,tc_fun(z,tc_bool)),w))*.
% 300.12/300.64 98481[0:SpR:12203.2,24257.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OSup__class_OSup(u),tc_fun(v,tc_bool)),w),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),u),x))),c_Orderings_Otop__class_Otop(u)))*.
% 300.12/300.64 98465[0:SpR:12203.2,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),u),v),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),x,y),w),c_Orderings_Otop__class_Otop(u)))*.
% 300.12/300.64 98570[2:SpL:818.1,49213.0] || hBOOL(c_in(u,v,w)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,v_x,w,t_a),w,t_a),v),v_x))),c_False)** -> .
% 300.12/300.64 98725[0:SpL:818.1,73758.0] || hBOOL(c_in(u,v,w)) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_False,hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,v_x,w,t_a),w,t_a),v),v_x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 300.12/300.64 98749[0:SpL:818.1,73760.0] || hBOOL(c_in(u,v,w)) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,hAPP(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,v_x,w,t_a),w,t_a),v),v_x),tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool))** -> .
% 300.12/300.64 98780[0:SpR:12493.2,24257.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_OInf__class_OInf(u),tc_fun(v,tc_bool)),w),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),u),x))),c_Orderings_Obot__class_Obot(u)))*.
% 300.12/300.64 98764[0:SpR:12493.2,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),u),v),w,x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),x,y),w),c_Orderings_Obot__class_Obot(u)))*.
% 300.12/300.64 99078[0:Res:13047.2,352.0] class_Orderings_Obot(u) class_Orderings_Olinorder(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> equal(c_Orderings_Obot__class_Obot(u),x) hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Oord__class_Oless(u),w,tc_fun(y,tc_bool)),x))*.
% 300.12/300.64 99038[0:Res:13047.2,79861.0] class_Orderings_Obot(u) class_Orderings_Olinorder(u) || equal(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),c_False)** -> equal(c_Orderings_Obot__class_Obot(u),c_False) equal(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 99485[0:Res:13059.2,352.0] class_Orderings_Otop(u) class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,x))* -> equal(v,c_Orderings_Otop__class_Otop(u))* hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Oord__class_Oless(u),x,tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(u)))*.
% 300.12/300.64 99637[0:Res:13297.2,352.0] class_Orderings_Obot(u) class_Orderings_Oorder(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> equal(x,c_Orderings_Obot__class_Obot(u)) hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Oord__class_Oless(u),w,tc_fun(y,tc_bool)),x))*.
% 300.12/300.64 99597[0:Res:13297.2,79861.0] class_Orderings_Obot(u) class_Orderings_Oorder(u) || equal(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),c_False)** -> equal(c_Orderings_Obot__class_Obot(u),c_False) equal(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 99776[0:Res:13309.2,352.0] class_Orderings_Otop(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x))* -> equal(c_Orderings_Otop__class_Otop(u),v)* hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Oord__class_Oless(u),x,tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(u)))*.
% 300.12/300.64 99985[0:Res:15143.2,352.0] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(y,tc_bool)),z))*.
% 300.12/300.64 100150[0:Res:15144.2,352.0] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(y,tc_bool)),z))*.
% 300.12/300.64 100335[0:Res:87811.2,352.0] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_lessequals(v),y,tc_fun(z,tc_bool)),w))*.
% 300.12/300.64 100619[0:Res:87814.2,352.0] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_lessequals(v),y,tc_fun(z,tc_bool)),w))*.
% 300.12/300.64 101247[0:Res:1411.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(c_in(hAPP(c_fequal(x),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_Set_Oinsert(y,x),u,z),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.64 101243[0:Res:1411.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,hAPP(c_fequal(v),w)),x) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(c_Set_Oinsert(w,v),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),u,z,tc_fun(x,tc_bool)),x)*.
% 300.12/300.64 101587[0:SpL:326.1,101545.0] || hBOOL(c_in(u,v,w))* equal(hAPP(c_Set_Oimage(x,w,y),v),hAPP(c_fequal(y),hAPP(x,u)))* -> c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(x,w,y),v),y)*.
% 300.12/300.64 101581[0:SpL:410.0,101545.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)),hAPP(c_fequal(u),w))** -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),x),u).
% 300.12/300.64 101953[0:Res:27.2,101661.0] class_HOL_Oord(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,u)),w),hAPP(hAPP(c_fequal(t_a),v_x),v_x)))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(v,u)),w))).
% 300.12/300.64 101887[0:Res:222.3,101661.0] class_Orderings_Olinorder(u) || hBOOL(c_in(hAPP(hAPP(c_fequal(t_a),v_x),v_x),v,u)) c_Finite__Set_Ofinite(v,u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Finite__Set_Olinorder__class_OMin(v,u))))*.
% 300.12/300.64 101744[0:SpL:65.1,101661.0] || hBOOL(hAPP(u,hAPP(hAPP(c_fequal(t_a),v_x),v_x))) -> equal(hAPP(hAPP(c_fequal(t_a),v_x),v_x),v) hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Fun_Ofun__upd(u,v,w,x,y)))*.
% 300.12/300.64 101743[0:SpL:771.1,101661.0] || hBOOL(hAPP(c_fequal(u),v)) -> equal(hAPP(hAPP(c_fequal(t_a),v_x),v_x),c_COMBK(c_False,tc_bool,w)) hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oimage(c_COMBK(v,u,w),w,u)))*.
% 300.12/300.64 102371[0:SpL:759.0,13885.0] || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),y,tc_fun(x,tc_bool)),x)*.
% 300.12/300.64 102343[0:SpL:54506.0,13885.0] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),u)),w,tc_fun(v,tc_bool)),v)*.
% 300.12/300.64 102329[0:SpL:55320.0,13885.0] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u),y)),w,tc_fun(v,tc_bool)),v)*.
% 300.12/300.64 102272[0:SpL:757.0,13885.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),w),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_fequal(v),u)),y,tc_fun(x,tc_bool)),x)*.
% 300.12/300.64 102774[0:Res:236.0,24826.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)))*.
% 300.12/300.64 102773[0:Res:237.0,24826.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v),tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v)))*.
% 300.12/300.64 103030[0:Res:24257.0,25011.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),x),hAPP(u,x),tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),x)))*.
% 300.12/300.64 102956[0:Res:412.1,25011.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(c_Set_Oinsert(x,u),w),tc_fun(u,tc_bool)),v))*.
% 300.12/300.64 103124[0:SpL:515.0,26331.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oimage(w,x,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),z))),v)* -> c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(w,x,v),z),v).
% 300.12/300.64 103337[0:SpL:515.0,26728.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oimage(w,x,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),y),z))),v)* -> c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(w,x,v),y),v).
% 300.12/300.64 103525[0:Res:87848.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),u),x,y)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_lessequals(u),y,tc_fun(z,tc_bool)),hAPP(c_Set_Oinsert(v,w),x1)))*.
% 300.12/300.64 103478[0:SpR:803.2,87848.1] class_Orderings_Olinorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(u),w),x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(x,u),v)),c_SetInterval_Oord__class_OatLeastAtMost(w,x,u)))*.
% 300.12/300.64 103477[0:SpR:802.2,87848.1] class_Orderings_Olinorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(u),w),x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(w,u),v)),c_SetInterval_Oord__class_OatLeastAtMost(w,x,u)))*.
% 300.12/300.64 103940[0:Res:3790.1,331.1] || hBOOL(c_in(u,hAPP(c_fequal(v),w),v)) hBOOL(c_in(x,y,z))* -> hBOOL(c_in(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,c_Set_Oinsert(w,v),z,tc_fun(v,tc_bool)),v))*.
% 300.12/300.64 103935[0:Res:3790.1,106.0] || hBOOL(c_in(u,hAPP(c_fequal(v),w),v))* c_Finite__Set_Ofinite(hAPP(x,u),y)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oinsert(w,v),z),x,v,tc_fun(y,tc_bool)),y)*.
% 300.12/300.64 103921[0:SpR:803.2,3790.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(c_in(x,hAPP(c_fequal(u),w),u))* -> hBOOL(c_in(x,c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),u))*.
% 300.12/300.64 103920[0:SpR:802.2,3790.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(c_in(x,hAPP(c_fequal(u),v),u))* -> hBOOL(c_in(x,c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),u))*.
% 300.12/300.64 104082[0:SpR:46.0,15681.1] || c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(u,v,w),x),w)* -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(c_COMBB(y,u,w,z,v),v,z),x),tc_fun(z,tc_bool)),x1),z)*.
% 300.12/300.64 104081[0:SpR:405.0,15681.1] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),w),v)* -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(hAPP(x,u),y),hAPP(c_Set_Oimage(x,v,y),w)),tc_fun(y,tc_bool)),z),y)*.
% 300.12/300.64 104599[0:SpR:64058.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool),hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),x,w),c_Fun_Ocomp(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w,x))**.
% 300.12/300.64 104803[0:Res:1397.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_Fun_Ofun__upd(y,z,x,x1,x2),u,x3),w,tc_fun(x3,tc_bool)),x3))*.
% 300.12/300.64 104799[0:Res:1397.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,v),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,y,v,z,x1),x2,x3),c_Orderings_Otop__class_Otop(tc_fun(x2,tc_bool))),u,x3,tc_fun(w,tc_bool)),w)*.
% 300.12/300.64 105032[0:Res:4280.1,117.0] || c_Fun_Oinj__on(c_Fun_Ocomp(u,v,w,x,y),z,y,x)* -> c_Fun_Oinj__on(u,hAPP(c_Set_Oimage(v,y,w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),z),x1)),w,x)*.
% 300.12/300.64 105285[0:SpR:803.2,10929.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(c_Set_Oimage(c_COMBK(x,y,u),u,y),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),hAPP(c_fequal(y),x))**.
% 300.12/300.64 105258[0:SpR:10929.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oimage(c_COMBK(u,v,w),w,v),tc_fun(x,tc_bool)),y),hAPP(c_Set_Oinsert(z,w),x1))),hAPP(c_fequal(v),u)))*.
% 300.12/300.64 105238[0:SpR:10929.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(c_COMBK(z,x1,v),v,x1),y,x2),x),hAPP(c_fequal(x1),z)))*.
% 300.12/300.64 105871[0:Res:533.1,15283.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_False))* -> equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))).
% 300.12/300.64 106275[0:SpR:106169.0,747.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_COMBK(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)),tc_fun(tc_fun(w,tc_bool),tc_bool),x),x,tc_fun(tc_fun(w,tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)))**.
% 300.12/300.64 106274[0:SpR:106169.0,744.0] || -> equal(c_Product__Type_OSigma(u,c_COMBK(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)),tc_fun(tc_fun(w,tc_bool),tc_bool),x),x,tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,tc_prod(x,tc_fun(w,tc_bool))))**.
% 300.12/300.64 106377[0:Rew:708.0,106227.2] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* -> equal(c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,v,tc_fun(u,tc_bool))).
% 300.12/300.64 106508[0:SpL:106281.0,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_SetInterval_Oord__class_OatLeastLessThan(z,z,tc_fun(x1,tc_bool)),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.64 106716[0:SpR:5228.0,709.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(c_Product__Type_OSigma(c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),y),c_COMBK(c_False,tc_bool,tc_prod(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),y)))**.
% 300.12/300.64 106714[0:SpR:5228.0,708.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool)),x),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))**.
% 300.12/300.64 106958[0:SpR:106423.0,747.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_COMBK(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)),tc_fun(tc_fun(w,tc_bool),tc_bool),x),x,tc_fun(tc_fun(w,tc_bool),tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)))**.
% 300.12/300.64 106957[0:SpR:106423.0,744.0] || -> equal(c_Product__Type_OSigma(u,c_COMBK(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)),tc_fun(tc_fun(w,tc_bool),tc_bool),x),x,tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,tc_prod(x,tc_fun(w,tc_bool))))**.
% 300.12/300.64 107154[0:SpL:106967.0,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_SetInterval_Oord__class_OgreaterThanAtMost(z,z,tc_fun(x1,tc_bool)),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.64 107230[0:Res:5850.1,767.0] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),w),x,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)))* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),x),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),u),v)*.
% 300.12/300.64 107340[0:Res:83.3,15236.2] class_Lattices_Olower__semilattice(u) class_Orderings_Obot(u) class_Orderings_Oorder(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,u))* c_Finite__Set_Ofinite(v,u) -> equal(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(u),v,u),c_Orderings_Obot__class_Obot(u)).
% 300.12/300.64 107575[0:Rew:106256.0,107496.2] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* -> equal(c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,v,tc_fun(u,tc_bool)))*.
% 300.12/300.64 107772[0:Rew:106939.0,107661.2] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,v,tc_fun(u,tc_bool)))*.
% 300.12/300.64 109869[0:Rew:109799.1,106749.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(hAPP(c_Set_Oinsert(c_False,tc_bool),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool),x)),hAPP(c_fequal(tc_bool),c_False))**.
% 300.12/300.64 110198[0:SSi:110136.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),v,w,x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v))**.
% 300.12/300.64 110199[0:SSi:110125.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(c_Fun_Ofun__upd(c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_fun(u,tc_bool))),v_x,c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_fun(u,tc_bool))))**.
% 300.12/300.64 110904[0:SpR:326.1,42995.0] || hBOOL(c_in(u,v,w)) -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(x),hAPP(y,u)),tc_fun(x,tc_bool)),hAPP(c_Set_Oimage(y,w,x),v)),c_COMBK(c_False,tc_bool,x))**.
% 300.12/300.64 110863[0:SpR:42995.0,22324.0] || -> hBOOL(c_in(c_COMBK(c_False,tc_bool,u),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(u),v),tc_fun(u,tc_bool)),w,x),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(v,u),y),w),z)),x))*.
% 300.12/300.64 111172[0:SSi:111114.0,625.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.2] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool),u,tc_fun(tc_bool,tc_bool))) c_Finite__Set_Ofinite(u,tc_fun(tc_bool,tc_bool)) -> c_Finite__Set_Ofinite(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),u,tc_fun(tc_bool,tc_bool)),tc_bool)*.
% 300.12/300.64 111417[0:Res:87803.2,166.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Lattices_Olower__semilattice(v) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(v),c_Orderings_Obot__class_Obot(u)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v))**.
% 300.12/300.64 111645[0:Res:87806.2,166.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Lattices_Olower__semilattice(v) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(v),c_Orderings_Otop__class_Otop(u)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v))**.
% 300.12/300.64 111865[0:Res:87817.2,25011.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Olinorder(v) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v),w,v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v)))*.
% 300.12/300.64 112119[0:Res:87818.2,25011.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Olinorder(v) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v),w,v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v)))*.
% 300.12/300.64 112666[2:SpL:818.1,102170.0] || hBOOL(c_in(u,v,w)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x,u,hAPP(hAPP(c_fequal(t_a),v_x),v_x),w,y),w,y),v)),c_False)** -> .
% 300.12/300.64 113044[0:SpR:5393.2,22324.0] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y),w),z)),x))*.
% 300.12/300.64 113742[0:SpR:5396.2,22324.0] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v),w),z)),x))*.
% 300.12/300.64 114213[0:SpR:5562.2,22324.0] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y),w),z)),x))*.
% 300.12/300.64 114674[0:SpR:5564.2,22324.0] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),v),w),z)),x))*.
% 300.12/300.64 1638[0:SpL:65.1,531.0] || hBOOL(hAPP(u,c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(c_Fun_Ofun__upd(u,v,w,x,y))))* -> equal(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(c_Fun_Ofun__upd(u,v,w,x,y)),v) hBOOL(hAPP(c_Fun_Ofun__upd(u,v,w,x,y),c_False)).
% 300.12/300.64 1628[0:SpR:65.1,533.1] || hBOOL(hAPP(c_Fun_Ofun__upd(u,v,w,x,y),c_False)) -> equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_Fun_Ofun__upd(u,v,w,x,y)),v) hBOOL(hAPP(u,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_Fun_Ofun__upd(u,v,w,x,y))))*.
% 300.12/300.64 4026[0:Res:2648.1,1141.0] || hBOOL(hAPP(hAPP(c_fequal(u),v),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(w,x),hAPP(c_Set_Oinsert(v,u),y)))))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_Set_Oinsert(v,u),y)),c_False)).
% 300.12/300.64 3988[0:SpL:728.0,1141.0] || hBOOL(hAPP(c_fequal(u),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(v,w),c_COMBC(c_fequal(u),u,u,tc_bool)))))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),c_COMBC(c_fequal(u),u,u,tc_bool)),c_False)).
% 300.12/300.64 6003[0:Res:533.1,325.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),c_False)) -> hBOOL(c_in(v,c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w))),u))*.
% 300.12/300.64 6147[0:SpR:613.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(z,v),y,x1),x),hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(z,v),w))))*.
% 300.12/300.64 10814[0:SpL:771.1,531.0] || hBOOL(hAPP(c_fequal(u),v)) -> equal(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(c_Set_Oimage(c_COMBK(v,u,w),w,u)),c_COMBK(c_False,tc_bool,w)) hBOOL(hAPP(c_Set_Oimage(c_COMBK(v,u,w),w,u),c_False))*.
% 300.12/300.64 10798[0:SpR:771.1,35.0] || -> equal(u,c_COMBK(c_False,tc_bool,v)) equal(c_Fun_Ofun__upd(c_Set_Oimage(c_COMBK(w,x,v),v,x),u,hAPP(c_fequal(x),w),y,z),c_Set_Oimage(c_COMBK(w,x,v),v,x))**.
% 300.12/300.64 10797[0:SpR:771.1,533.1] || hBOOL(hAPP(c_Set_Oimage(c_COMBK(u,v,w),w,v),c_False))* -> equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_Set_Oimage(c_COMBK(u,v,w),w,v)),c_COMBK(c_False,tc_bool,w)) hBOOL(hAPP(c_fequal(v),u)).
% 300.12/300.64 12318[0:SSi:12254.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(u,tc_bool)),w)),x))* -> hBOOL(hAPP(v,x)) hBOOL(hAPP(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),w),x)).
% 300.12/300.64 12319[0:SSi:12252.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(u,tc_bool)),w)),c_COMBK(c_False,tc_bool,u))** -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),w),c_COMBK(c_False,tc_bool,u)).
% 300.12/300.64 13054[0:Res:533.1,77.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(u),v))))* equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(u),v)),v).
% 300.12/300.64 13304[0:Res:533.1,69.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(u),v))))* equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(u),v)),v).
% 300.12/300.64 14480[0:SpR:335.1,1430.0] class_HOL_Ominus(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(t_a,u)),w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),hAPP(c_HOL_Ominus__class_Ominus(hAPP(v,v_x),u),hAPP(w,v_x))))*.
% 300.12/300.64 15123[0:SpL:13619.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))))*.
% 300.12/300.64 15120[0:SpL:12544.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),hAPP(c_Set_Oinsert(c_False,tc_bool),v))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),hAPP(c_Set_Oinsert(c_False,tc_bool),v)))*.
% 300.12/300.64 15088[0:SpL:149.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(v,hAPP(w,x))),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_COMBB(v,w,y,z,x1),u)),x))*.
% 300.12/300.64 15087[0:SpL:424.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(v,hAPP(w,x))),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Fun_Ocomp(v,w,y,z,x1),u)),x))*.
% 300.12/300.64 15259[0:Res:457.2,446.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u)) hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(c_Complete__Lattice_OInf__class_OInf(u),w)))* -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),w),v).
% 300.12/300.64 15257[0:Res:516.2,446.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u)) hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OSup__class_OSup(u),w)),v))* -> equal(v,hAPP(c_Complete__Lattice_OSup__class_OSup(u),w)).
% 300.12/300.64 16004[0:SpR:149.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_COMBB(y,z,x1,x2,x3),x,u)),hAPP(y,hAPP(z,v))))*.
% 300.12/300.64 16003[0:SpR:424.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Fun_Ocomp(y,z,x1,x2,x3),x,u)),hAPP(y,hAPP(z,v))))*.
% 300.12/300.64 15985[0:SpR:2678.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,w),x),y,z))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(y,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),x),z,u)),x))*.
% 300.12/300.64 15927[0:SpR:691.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_COMBK(c_False,tc_bool,v),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Set_Oimage(y,v,z),x,u)),c_COMBK(c_False,tc_bool,z)))*.
% 300.12/300.64 16267[0:SpR:149.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(y,hAPP(z,v))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_COMBB(y,z,x1,x2,x3),x,u)))*.
% 300.12/300.64 16266[0:SpR:424.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(y,hAPP(z,v))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Fun_Ocomp(y,z,x1,x2,x3),x,u)))*.
% 300.12/300.64 16248[0:SpR:2678.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,w),x),y,z))* -> hBOOL(hAPP(hAPP(c_lessequals(u),x),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),x),z,u)))*.
% 300.12/300.64 16190[0:SpR:691.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_COMBK(c_False,tc_bool,v),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_COMBK(c_False,tc_bool,y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(z,v,y),x,u)))*.
% 300.12/300.64 16543[0:SSi:16493.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w))**.
% 300.12/300.64 17410[0:Res:172.2,755.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v),w,u),c_COMBK(c_False,tc_bool,u))** -> .
% 300.12/300.64 17430[0:Obv:17414.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v))**.
% 300.12/300.64 17440[0:SSi:17394.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oimage(w,x,u),y)))* c_Finite__Set_Ofinite(y,x) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),z),v),u)*.
% 300.12/300.64 17564[0:Res:171.2,755.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x),w,u),c_COMBK(c_False,tc_bool,u))** -> .
% 300.12/300.64 17583[0:Obv:17568.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x))**.
% 300.12/300.64 17585[0:Rew:25.1,17584.2] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x))**.
% 300.12/300.64 17592[0:SSi:17548.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oimage(w,x,u),y)))* c_Finite__Set_Ofinite(y,x) -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),z),u)*.
% 300.12/300.64 17828[0:Res:2.2,752.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v),w,u),c_COMBK(c_False,tc_bool,u))** -> .
% 300.12/300.64 17827[0:Res:2.2,751.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v),w,u),c_COMBK(c_False,tc_bool,u))** -> .
% 300.12/300.64 18182[0:Res:1.2,752.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x),w,u),c_COMBK(c_False,tc_bool,u))** -> .
% 300.12/300.64 18181[0:Res:1.2,751.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x),w,u),c_COMBK(c_False,tc_bool,u))** -> .
% 300.12/300.64 18468[0:Res:479.2,755.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x),u),c_COMBK(c_False,tc_bool,u))** -> .
% 300.12/300.64 18498[0:Obv:18474.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))**.
% 300.12/300.64 18500[0:Rew:242.1,18499.2] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))**.
% 300.12/300.64 18682[0:Res:478.2,755.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w),u),c_COMBK(c_False,tc_bool,u))** -> .
% 300.12/300.64 18703[0:Obv:18688.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w))**.
% 300.12/300.64 18892[0:Res:185.2,752.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w),u),c_COMBK(c_False,tc_bool,u))** -> .
% 300.12/300.64 18891[0:Res:185.2,751.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w),u),c_COMBK(c_False,tc_bool,u))** -> .
% 300.12/300.64 19106[0:Res:184.2,752.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x),u),c_COMBK(c_False,tc_bool,u))** -> .
% 300.12/300.64 19105[0:Res:184.2,751.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x),u),c_COMBK(c_False,tc_bool,u))** -> .
% 300.12/300.64 19288[0:SpR:13524.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 300.12/300.64 19287[0:SpR:13524.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_False))*.
% 300.12/300.64 19319[0:SpR:13633.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 300.12/300.64 19318[0:SpR:13633.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_False))*.
% 300.12/300.64 19692[0:SpR:15401.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 300.12/300.64 19691[0:SpR:15401.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_False))*.
% 300.12/300.64 19839[0:SpR:12684.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),v),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),v)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 300.12/300.64 19838[0:SpR:12684.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),v),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),v)))*.
% 300.12/300.64 19906[0:SpR:12724.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Set_Oinsert(c_False,tc_bool),w)),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OInf__class_OInf(tc_bool),y,u)))*.
% 300.12/300.64 19905[0:SpR:12724.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Set_Oinsert(c_False,tc_bool),w)),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OInf__class_OInf(tc_bool),y,u)),c_False))*.
% 300.12/300.64 20304[0:Res:533.1,157.1] class_HOL_Oord(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,u)),w),c_False)) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(v,u)),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,u)),w))),w))* -> .
% 300.12/300.64 20510[0:SpL:3333.0,114.0] || c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),hAPP(c_fequal(v),x))),v)* -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_fequal(v),w)),v).
% 300.12/300.64 20585[0:SpR:20287.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 300.12/300.64 20584[0:SpR:20287.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 20604[0:SpR:13523.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 300.12/300.64 20603[0:SpR:13523.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_False))*.
% 300.12/300.64 20848[0:SpR:9869.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Set_Oinsert(y,tc_bool),w,tc_fun(x,tc_bool))),hAPP(c_fequal(tc_bool),y)))*.
% 300.12/300.64 20847[0:SpR:8988.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Set_Oinsert(y,tc_bool),w,tc_fun(x,tc_bool))),hAPP(c_fequal(tc_bool),y)))*.
% 300.12/300.64 20846[0:SpR:9636.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Set_Oinsert(y,tc_bool),w,tc_fun(x,tc_bool))),hAPP(c_fequal(tc_bool),y)))*.
% 300.12/300.64 20845[0:SpR:8815.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Set_Oinsert(y,tc_bool),w,tc_fun(x,tc_bool))),hAPP(c_fequal(tc_bool),y)))*.
% 300.12/300.64 20840[0:SpR:13516.1,435.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 300.12/300.64 20839[0:SpR:13736.1,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> equal(u,c_False) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 20834[0:SpR:13518.1,435.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 300.12/300.64 20833[0:SpR:13522.1,435.1] class_Orderings_Obot(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 300.12/300.64 20828[0:SpR:13552.0,435.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool))),c_False))*.
% 300.12/300.64 20827[0:SpR:12758.0,435.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 300.12/300.64 20824[0:SpR:13539.0,435.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_bool),c_False)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 300.12/300.64 20823[0:SpR:12721.0,435.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),c_False)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 300.12/300.64 20801[0:SpR:20106.1,435.1] || hBOOL(u) hBOOL(c_in(c_COMBK(u,v,w),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(z,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,tc_fun(z,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 20797[0:SpR:20245.0,435.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 20796[0:SpR:20156.0,435.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 20794[0:SpR:20134.1,435.1] || hBOOL(u) hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 20787[0:SpR:15551.0,435.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),u))*.
% 300.12/300.64 20786[0:SpR:12263.0,435.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(c_False,tc_bool),u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)))*.
% 300.12/300.64 20758[0:SpR:1461.0,435.1] || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Set_Oinsert(v,u),x,tc_fun(y,tc_bool))),hAPP(c_fequal(u),v)))*.
% 300.12/300.64 20750[0:SpR:2160.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),w,tc_fun(x,tc_bool))),u))*.
% 300.12/300.64 20748[0:SpR:9853.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool)),w,tc_fun(x,tc_bool))),u))*.
% 300.12/300.64 20747[0:SpR:8972.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool)),w,tc_fun(x,tc_bool))),u))*.
% 300.12/300.64 20746[0:SpR:9620.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool)),w,tc_fun(x,tc_bool))),u))*.
% 300.12/300.64 20745[0:SpR:8799.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool)),w,tc_fun(x,tc_bool))),u))*.
% 300.12/300.64 20741[0:SpR:1581.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_fequal(y),z),w,tc_fun(x,tc_bool))),hAPP(hAPP(c_fequal(y),u),z)))*.
% 300.12/300.64 20733[0:SpR:1923.0,435.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),y),w,tc_fun(x,tc_bool))),y))*.
% 300.12/300.64 20724[0:SpR:187.1,435.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),w,tc_fun(x,tc_bool))),c_Orderings_Obot__class_Obot(u)))*.
% 300.12/300.64 20722[0:SpR:12564.1,435.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),w,tc_fun(x,tc_bool))),c_Orderings_Obot__class_Obot(u)))*.
% 300.12/300.64 20721[0:SpR:186.1,435.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),x,tc_fun(y,tc_bool))),c_Orderings_Obot__class_Obot(u)))*.
% 300.12/300.64 20712[0:SpR:9856.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),y),w,tc_fun(x,tc_bool))),y))*.
% 300.12/300.64 20711[0:SpR:8975.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),y),w,tc_fun(x,tc_bool))),y))*.
% 300.12/300.64 20710[0:SpR:9623.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),y),w,tc_fun(x,tc_bool))),y))*.
% 300.12/300.64 20709[0:SpR:8802.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),y),w,tc_fun(x,tc_bool))),y))*.
% 300.12/300.64 20705[0:SpR:685.0,435.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),w,tc_fun(x,tc_bool))),y))*.
% 300.12/300.64 20704[0:SpR:684.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),c_COMBK(c_False,tc_bool,y)),w,tc_fun(x,tc_bool))),u))*.
% 300.12/300.64 20700[0:SpR:278.1,435.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),x,tc_fun(y,tc_bool))),c_Orderings_Otop__class_Otop(u)))*.
% 300.12/300.64 20697[0:SpR:277.1,435.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(u)))*.
% 300.12/300.64 20695[0:SpR:12282.1,435.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(u)))*.
% 300.12/300.64 20690[0:SpR:683.1,435.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(u),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(u)))*.
% 300.12/300.64 20689[0:SpR:682.1,435.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(u),w,tc_fun(x,tc_bool))),c_Orderings_Obot__class_Obot(u)))*.
% 300.12/300.64 20687[0:SpR:699.0,435.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Set_Oinsert(y,u),w,tc_fun(x,tc_bool))),hAPP(c_fequal(u),y)))*.
% 300.12/300.64 20682[0:SpR:2659.0,435.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Set_Oinsert(y,u),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))*.
% 300.12/300.64 20680[0:SpR:357.1,435.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(u),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(u)))*.
% 300.12/300.64 20679[0:SpR:441.1,435.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(u),w,tc_fun(x,tc_bool))),c_Orderings_Obot__class_Obot(u)))*.
% 300.12/300.64 20654[0:SpR:728.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_COMBC(c_fequal(y),y,y,tc_bool),w,tc_fun(x,tc_bool))),hAPP(c_fequal(y),u)))*.
% 300.12/300.64 20653[0:SpR:418.1,435.1] || hBOOL(c_in(u,v,w)) hBOOL(c_in(v,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(z,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Set_Oinsert(u,w),y,tc_fun(z,tc_bool))),v))*.
% 300.12/300.64 21024[0:SpL:15486.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),v))*.
% 300.12/300.64 20985[0:SpR:15486.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 300.12/300.64 20984[0:SpR:15486.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 21259[0:SpR:9869.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(c_fequal(tc_bool),y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(y,tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21258[0:SpR:8988.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(c_fequal(tc_bool),y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(y,tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21257[0:SpR:9636.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(c_fequal(tc_bool),y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(y,tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21256[0:SpR:8815.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(c_fequal(tc_bool),y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(y,tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21251[0:SpR:13516.1,265.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21250[0:SpR:13736.1,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> equal(u,c_False) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21245[0:SpR:13518.1,265.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21244[0:SpR:13522.1,265.1] class_Orderings_Obot(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21239[0:SpR:13552.0,265.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool))))*.
% 300.12/300.64 21238[0:SpR:12758.0,265.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21235[0:SpR:13539.0,265.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_bool),c_False)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21234[0:SpR:12721.0,265.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),c_False)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21212[0:SpR:20106.1,265.1] || hBOOL(u) hBOOL(c_in(c_COMBK(u,v,w),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(z,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,tc_fun(z,tc_bool))))*.
% 300.12/300.64 21207[0:SpR:20245.0,265.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21206[0:SpR:20156.0,265.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21204[0:SpR:20134.1,265.1] || hBOOL(u) hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21197[0:SpR:15551.0,265.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21196[0:SpR:12263.0,265.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(c_False,tc_bool),u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21168[0:SpR:1461.0,265.1] || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),hAPP(c_fequal(u),v)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oinsert(v,u),x,tc_fun(y,tc_bool))))*.
% 300.12/300.64 21160[0:SpR:2160.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21158[0:SpR:9853.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool)),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21157[0:SpR:8972.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool)),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21156[0:SpR:9620.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool)),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21155[0:SpR:8799.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool)),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21151[0:SpR:1581.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(hAPP(c_fequal(y),u),z)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_fequal(y),z),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21143[0:SpR:1923.0,265.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),y),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21134[0:SpR:187.1,265.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Obot__class_Obot(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21132[0:SpR:12564.1,265.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Obot__class_Obot(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21131[0:SpR:186.1,265.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Orderings_Obot__class_Obot(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),x,tc_fun(y,tc_bool))))*.
% 300.12/300.64 21122[0:SpR:9856.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),y),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21121[0:SpR:8975.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),y),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21120[0:SpR:9623.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),y),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21119[0:SpR:8802.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),y),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21115[0:SpR:685.0,265.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21114[0:SpR:684.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),c_COMBK(c_False,tc_bool,y)),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21110[0:SpR:278.1,265.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),x,tc_fun(y,tc_bool))))*.
% 300.12/300.64 21107[0:SpR:277.1,265.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21105[0:SpR:12282.1,265.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21100[0:SpR:683.1,265.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(u),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21099[0:SpR:682.1,265.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Obot__class_Obot(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(u),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21097[0:SpR:699.0,265.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(c_fequal(u),y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(y,u),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21092[0:SpR:2659.0,265.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(y,u),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21090[0:SpR:357.1,265.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(u),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21089[0:SpR:441.1,265.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Obot__class_Obot(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(u),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21064[0:SpR:728.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(c_fequal(y),u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_COMBC(c_fequal(y),y,y,tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 21063[0:SpR:418.1,265.1] || hBOOL(c_in(u,v,w)) hBOOL(c_in(v,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(z,tc_bool)),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Set_Oinsert(u,w),y,tc_fun(z,tc_bool))))*.
% 300.12/300.64 21300[0:SpR:17170.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 300.12/300.64 21299[0:SpR:17170.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_False))*.
% 300.12/300.64 21336[0:SpR:17217.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 300.12/300.64 21335[0:SpR:17217.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_False))*.
% 300.12/300.64 21374[0:SpR:20157.1,264.2] class_Orderings_Olinorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)))*.
% 300.12/300.64 21373[0:SpR:20157.1,434.2] class_Orderings_Olinorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 21394[0:SpR:20158.1,264.2] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)))*.
% 300.12/300.64 21393[0:SpR:20158.1,434.2] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 21460[0:SpL:759.0,430.0] || hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x),v))* -> hBOOL(c_in(u,x,v)) hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),x),v)).
% 300.12/300.64 21471[0:SpR:20159.1,264.2] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)))*.
% 300.12/300.64 21470[0:SpR:20159.1,434.2] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 21493[0:SpR:20160.1,264.2] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)))*.
% 300.12/300.64 21492[0:SpR:20160.1,434.2] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 21516[0:SpR:20161.1,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)))*.
% 300.12/300.64 21515[0:SpR:20161.1,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 21540[0:SpR:20162.1,264.2] class_Orderings_Opreorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)))*.
% 300.12/300.64 21539[0:SpR:20162.1,434.2] class_Orderings_Opreorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 22009[0:Res:733.1,352.0] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x))* -> equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OatLeastLessThan(v,y,u))* hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Oord__class_Oless(u),x,tc_fun(z,tc_bool)),y))*.
% 300.12/300.64 22008[0:Res:734.1,352.0] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,y,u),c_COMBK(c_False,tc_bool,u))* hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Oord__class_Oless(u),x,tc_fun(z,tc_bool)),y))*.
% 300.12/300.64 21992[0:Res:724.1,352.0] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,y,u),c_COMBK(c_False,tc_bool,u))* hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(u),x,tc_fun(z,tc_bool)),y))*.
% 300.12/300.64 21991[0:Res:450.2,352.0] class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w)** hBOOL(c_in(v,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_lessequals(u),y,tc_fun(z,tc_bool)),w))*.
% 300.12/300.64 21990[0:Res:165.2,352.0] class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v)** hBOOL(c_in(v,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_lessequals(u),y,tc_fun(z,tc_bool)),w))*.
% 300.12/300.64 21989[0:Res:26.1,352.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* hBOOL(c_in(v,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_lessequals(tc_fun(u,tc_bool)),y,tc_fun(z,tc_bool)),w))*.
% 300.12/300.64 21953[0:Res:457.2,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,u))* hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(u),w),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_lessequals(u),y,tc_fun(z,tc_bool)),v))*.
% 300.12/300.64 21916[0:Res:516.2,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,u))* hBOOL(c_in(v,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_lessequals(u),y,tc_fun(z,tc_bool)),hAPP(c_Complete__Lattice_OSup__class_OSup(u),w)))*.
% 300.12/300.64 21875[0:SpL:2651.0,352.0] || hBOOL(hAPP(c_Set_Oinsert(u,v),w))* hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),y,tc_fun(z,tc_bool)),hAPP(c_fequal(v),u)))*.
% 300.12/300.64 21853[0:SpL:341.0,352.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w))* hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y,tc_fun(z,tc_bool)),v))*.
% 300.12/300.64 21820[0:SpL:757.0,352.0] || hBOOL(hAPP(c_Set_Oinsert(u,v),w))* hBOOL(c_in(hAPP(c_fequal(v),u),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),y,tc_fun(z,tc_bool)),w))*.
% 300.12/300.64 21777[0:SpL:13516.1,352.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) hBOOL(hAPP(c_False,v)) hBOOL(c_in(u,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.64 21776[0:SpL:13736.1,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),w,x))* -> equal(v,c_False) hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.64 21769[0:SpL:13518.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(c_False,v)) hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.64 21768[0:SpL:13522.1,352.0] class_Orderings_Obot(u) || hBOOL(hAPP(c_False,v)) hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.64 21763[0:SpL:13552.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OInf__class_OInf(tc_bool),y,tc_fun(z,tc_bool)),u))*.
% 300.12/300.64 21762[0:SpL:12758.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.64 21759[0:SpL:13539.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_lessequals(tc_bool),c_False)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.64 21758[0:SpL:12721.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_fequal(tc_bool),c_False)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.64 21736[0:SpL:20106.1,352.0] || hBOOL(u) hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(c_COMBK(u,w,x),y,z))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,c_Complete__Lattice_OSup__class_OSup(tc_bool),z,tc_fun(x1,tc_bool)),v))*.
% 300.12/300.64 21731[0:SpL:20245.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.64 21724[0:SpL:20156.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_lessequals(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.64 21722[0:SpL:20134.1,352.0] || hBOOL(u) hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.64 21715[0:SpL:15551.0,352.0] || hBOOL(hAPP(u,v))* hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.64 21714[0:SpL:12263.0,352.0] || hBOOL(hAPP(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u),v))* hBOOL(c_in(hAPP(c_Set_Oinsert(c_False,tc_bool),u),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.64 21678[0:SpL:2160.0,352.0] || hBOOL(hAPP(u,v))* hBOOL(c_in(u,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),x,tc_fun(z,tc_bool)),v))*.
% 300.12/300.64 21669[0:SpL:1581.0,352.0] || hBOOL(hAPP(hAPP(hAPP(c_fequal(u),v),w),x))* hBOOL(c_in(v,y,z))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,hAPP(c_fequal(u),w),z,tc_fun(x1,tc_bool)),x))*.
% 300.12/300.64 21661[0:SpL:1923.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),x,y)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),u),y,tc_fun(z,tc_bool)),v))*.
% 300.12/300.64 21652[0:SpL:187.1,352.0] class_Lattices_Obounded__lattice(u) || hBOOL(hAPP(c_Orderings_Obot__class_Obot(u),v)) hBOOL(c_in(c_Orderings_Obot__class_Obot(u),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),x,tc_fun(z,tc_bool)),v))*.
% 300.12/300.64 21650[0:SpL:12564.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(c_Orderings_Obot__class_Obot(u),v)) hBOOL(c_in(c_Orderings_Obot__class_Obot(u),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),x,tc_fun(z,tc_bool)),v))*.
% 300.12/300.64 21649[0:SpL:186.1,352.0] class_Lattices_Obounded__lattice(u) || hBOOL(hAPP(c_Orderings_Obot__class_Obot(u),v)) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),y,tc_fun(z,tc_bool)),v))*.
% 300.12/300.64 21628[0:SpL:278.1,352.0] class_Lattices_Obounded__lattice(u) || hBOOL(hAPP(c_Orderings_Otop__class_Otop(u),v)) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),y,tc_fun(z,tc_bool)),v))*.
% 300.12/300.64 21625[0:SpL:277.1,352.0] class_Lattices_Obounded__lattice(u) || hBOOL(hAPP(c_Orderings_Otop__class_Otop(u),v)) hBOOL(c_in(c_Orderings_Otop__class_Otop(u),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),x,tc_fun(z,tc_bool)),v))*.
% 300.12/300.64 21623[0:SpL:12282.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(c_Orderings_Otop__class_Otop(u),v)) hBOOL(c_in(c_Orderings_Otop__class_Otop(u),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),x,tc_fun(z,tc_bool)),v))*.
% 300.12/300.64 21618[0:SpL:683.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(c_Orderings_Otop__class_Otop(u),v)) hBOOL(c_in(c_COMBK(c_False,tc_bool,u),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(u),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.64 21617[0:SpL:682.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(c_Orderings_Obot__class_Obot(u),v)) hBOOL(c_in(c_COMBK(c_False,tc_bool,u),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(u),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.64 21608[0:SpL:357.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(c_Orderings_Otop__class_Otop(u),v)) hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(u),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.64 21607[0:SpL:441.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(c_Orderings_Obot__class_Obot(u),v)) hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(u),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.64 21582[0:SpL:728.0,352.0] || hBOOL(hAPP(hAPP(c_fequal(u),v),w))* hBOOL(c_in(v,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_COMBC(c_fequal(u),u,u,tc_bool),y,tc_fun(z,tc_bool)),w))*.
% 300.12/300.64 22028[0:SpR:20209.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),w,x))* -> equal(c_Orderings_Otop__class_Otop(tc_bool),v) hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 300.12/300.64 22027[0:SpR:20209.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),w,x))* -> equal(c_Orderings_Otop__class_Otop(tc_bool),v) hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 22052[0:SpR:20246.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)))*.
% 300.12/300.64 22051[0:SpR:20246.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 22073[0:SpR:20247.1,264.2] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)))*.
% 300.12/300.64 22072[0:SpR:20247.1,434.2] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 22095[0:SpR:20248.1,264.2] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)))*.
% 300.12/300.64 22094[0:SpR:20248.1,434.2] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 22124[0:SpR:20249.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)))*.
% 300.12/300.64 22123[0:SpR:20249.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 22144[0:SpR:20250.1,264.2] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)))*.
% 300.12/300.64 22143[0:SpR:20250.1,434.2] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 22165[0:SpR:20251.1,264.2] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)))*.
% 300.12/300.64 22164[0:SpR:20251.1,434.2] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 22214[0:SpR:20303.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,u)))*.
% 300.12/300.64 22213[0:SpR:20303.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 22238[0:SpR:20330.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_lessequals(tc_bool),w)),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,u)))*.
% 300.12/300.64 22237[0:SpR:20330.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_lessequals(tc_bool),w)),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 22261[0:SpR:20345.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w)),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,u)))*.
% 300.12/300.64 22260[0:SpR:20345.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w)),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 22617[0:SpL:405.0,4131.0] || hBOOL(hAPP(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),y)),z))* -> hBOOL(c_in(z,hAPP(c_Set_Oimage(u,v,w),y),w))* equal(z,hAPP(u,x)).
% 300.12/300.64 22611[0:SpL:405.0,4686.0] || hBOOL(hAPP(c_Set_Oinsert(hAPP(u,v),w),hAPP(c_Set_Oimage(u,x,w),y)))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),z,x1),c_Set_Oimage(u,x,w)),c_False))*.
% 300.12/300.64 22574[0:SpR:13526.1,405.0] || hBOOL(u) -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(c_COMBK(u,x,y),v),z)),hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),z)))*.
% 300.12/300.64 22553[0:SpR:13730.1,405.0] || -> equal(u,c_False) equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v),x)),hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),x)))*.
% 300.12/300.64 22531[0:SpR:20174.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),x),u),y)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),y)))*.
% 300.12/300.64 22492[0:SpR:714.1,405.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,w),hAPP(c_Set_Oinsert(hAPP(c_fequal(u),x),v),y)),hAPP(c_Set_Oinsert(x,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,w),y)))*.
% 300.12/300.64 22491[0:SpR:710.1,405.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,w),hAPP(c_Set_Oinsert(hAPP(c_fequal(u),x),v),y)),hAPP(c_Set_Oinsert(x,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,w),y)))*.
% 300.12/300.64 22467[0:SpR:12624.0,405.0] || -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v),hAPP(c_Set_Oinsert(w,u),x)),hAPP(c_Set_Oinsert(w,v),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v),x)))*.
% 300.12/300.64 22441[0:SpR:12637.0,405.0] || -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),x)))*.
% 300.12/300.64 22375[0:SpR:712.1,405.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_Set_Oimage(c_fequal(u),v,w),hAPP(c_Set_Oinsert(x,v),y)),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(x,x,u),w),hAPP(c_Set_Oimage(c_fequal(u),v,w),y)))*.
% 300.12/300.64 22360[0:SpR:3059.1,405.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) -> equal(hAPP(c_Set_Oimage(w,v,x),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),hAPP(c_Set_Oinsert(hAPP(w,y),x),hAPP(c_Set_Oimage(w,v,x),u)))*.
% 300.12/300.64 22316[0:SpR:405.0,2678.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(v,w,u),x)),hAPP(c_Set_Oimage(v,w,u),hAPP(c_Set_Oinsert(y,w),x))),hAPP(c_Set_Oimage(v,w,u),x))**.
% 300.12/300.64 22308[0:SpR:405.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),y),hAPP(c_Set_Oinsert(hAPP(u,x),w),hAPP(c_Set_Oimage(u,v,w),y)),z,x1),c_Set_Oimage(u,v,w))**.
% 300.12/300.64 23099[0:SpL:13516.1,461.0] || equal(hAPP(u,v),c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)))* equal(hAPP(u,v),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(w,u,x,y)* -> equal(hAPP(hAPP(w,c_Complete__Lattice_OInf__class_OInf(tc_bool)),v),v)**.
% 300.12/300.64 23081[0:SpL:12684.0,461.0] || equal(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OInf__class_OInf(tc_bool)),u),u)**.
% 300.12/300.64 23075[0:SpL:20249.1,461.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Lattices_Olower__semilattice__class_Oinf(u),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 300.12/300.64 23074[0:SpL:20250.1,461.0] class_Lattices_Olattice(u) || equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Lattices_Olower__semilattice__class_Oinf(u),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 300.12/300.64 23073[0:SpL:20251.1,461.0] class_Lattices_Olower__semilattice(u) || equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Lattices_Olower__semilattice__class_Oinf(u),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 300.12/300.64 23072[0:SpL:20246.1,461.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Lattices_Oupper__semilattice__class_Osup(u),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 300.12/300.64 23071[0:SpL:20247.1,461.0] class_Lattices_Olattice(u) || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Lattices_Oupper__semilattice__class_Osup(u),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 300.12/300.64 23070[0:SpL:20248.1,461.0] class_Lattices_Oupper__semilattice(u) || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Lattices_Oupper__semilattice__class_Osup(u),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 300.12/300.64 23068[0:SpL:20157.1,461.0] class_Orderings_Olinorder(u) || equal(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_lessequals(u),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 300.12/300.64 23067[0:SpL:20158.1,461.0] class_Lattices_Olattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_lessequals(u),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 300.12/300.64 23066[0:SpL:20159.1,461.0] class_Lattices_Oupper__semilattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_lessequals(u),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 300.12/300.64 23065[0:SpL:20160.1,461.0] class_Lattices_Olower__semilattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_lessequals(u),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 300.12/300.64 23064[0:SpL:20161.1,461.0] class_Orderings_Oorder(u) || equal(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_lessequals(u),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 300.12/300.64 23063[0:SpL:20162.1,461.0] class_Orderings_Opreorder(u) || equal(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_lessequals(u),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 300.12/300.64 23010[0:SpL:1581.0,461.0] || equal(hAPP(hAPP(c_fequal(u),hAPP(v,w)),x),hAPP(v,w))** c_Record_Oiso__tuple__update__accessor__cong__assist(y,v,z,x1)* -> equal(hAPP(hAPP(y,hAPP(c_fequal(u),x)),w),w)**.
% 300.12/300.64 22966[0:SpL:708.0,461.0] || equal(c_COMBK(c_False,tc_bool,u),hAPP(v,w))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool))),w),w)**.
% 300.12/300.64 22965[0:SpL:728.0,461.0] || equal(hAPP(c_fequal(u),hAPP(v,w)),hAPP(v,w))** c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,c_COMBC(c_fequal(u),u,u,tc_bool)),w),w)**.
% 300.12/300.64 22913[0:SpL:13526.1,461.0] || hBOOL(u) equal(hAPP(v,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,y)* -> equal(hAPP(hAPP(w,v),c_COMBK(u,z,x1)),c_COMBK(u,z,x1))**.
% 300.12/300.64 22905[0:SpL:9868.0,461.0] || equal(hAPP(u,v),v)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),x,y)* -> equal(hAPP(hAPP(w,u),c_SetInterval_Oord__class_OgreaterThanAtMost(z,z,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(z,z,tc_bool))**.
% 300.12/300.64 22904[0:SpL:8987.0,461.0] || equal(hAPP(u,v),v)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),x,y)* -> equal(hAPP(hAPP(w,u),c_SetInterval_Oord__class_OgreaterThanAtMost(z,c_False,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(z,c_False,tc_bool))**.
% 300.12/300.64 22903[0:SpL:9635.0,461.0] || equal(hAPP(u,v),v)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),x,y)* -> equal(hAPP(hAPP(w,u),c_SetInterval_Oord__class_OatLeastLessThan(z,z,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(z,z,tc_bool))**.
% 300.12/300.64 22902[0:SpL:8814.0,461.0] || equal(hAPP(u,v),v)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),x,y)* -> equal(hAPP(hAPP(w,u),c_SetInterval_Oord__class_OatLeastLessThan(z,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(z,c_False,tc_bool))**.
% 300.12/300.64 22894[0:SpL:15486.1,461.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) equal(hAPP(v,c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y)* -> equal(hAPP(hAPP(w,v),u),u)**.
% 300.12/300.64 22892[0:SpL:13730.1,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x)* -> equal(y,c_False) equal(hAPP(hAPP(v,u),c_SetInterval_Oord__class_OatLeastAtMost(y,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(y,c_False,tc_bool))**.
% 300.12/300.64 22830[0:SpL:714.1,461.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(v,w),w) c_Record_Oiso__tuple__update__accessor__cong__assist(x,c_Complete__Lattice_OSup__class_OSup(u),y,z)* -> equal(hAPP(hAPP(x,v),hAPP(c_fequal(u),w)),hAPP(c_fequal(u),w))**.
% 300.12/300.64 22829[0:SpL:710.1,461.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(v,w),w) c_Record_Oiso__tuple__update__accessor__cong__assist(x,c_Complete__Lattice_OInf__class_OInf(u),y,z)* -> equal(hAPP(hAPP(x,v),hAPP(c_fequal(u),w)),hAPP(c_fequal(u),w))**.
% 300.12/300.64 22801[0:SpL:187.1,461.0] class_Lattices_Obounded__lattice(u) || equal(hAPP(v,c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),y,z)* -> equal(hAPP(hAPP(w,v),c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u))**.
% 300.12/300.64 22799[0:SpL:12564.1,461.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(v,c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),y,z)* -> equal(hAPP(hAPP(w,v),c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u))**.
% 300.12/300.64 22774[0:SpL:277.1,461.0] class_Lattices_Obounded__lattice(u) || equal(hAPP(v,c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(u)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),y,z)* -> equal(hAPP(hAPP(w,v),c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(u))**.
% 300.12/300.64 22772[0:SpL:12282.1,461.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(v,c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(u)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),y,z)* -> equal(hAPP(hAPP(w,v),c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(u))**.
% 300.12/300.64 22763[0:SpL:677.0,461.0] || equal(hAPP(u,v),v)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_HOL_Ominus__class_Ominus(v,tc_fun(x,tc_bool)),y,z)* -> equal(hAPP(hAPP(w,u),c_COMBK(c_False,tc_bool,x)),c_COMBK(c_False,tc_bool,x))**.
% 300.12/300.64 22747[0:SpL:678.0,461.0] || equal(hAPP(u,c_COMBK(c_False,tc_bool,v)),c_COMBK(c_False,tc_bool,v))** c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_HOL_Ominus__class_Ominus(x,tc_fun(v,tc_bool)),y,z)* -> equal(hAPP(hAPP(w,u),x),x)**.
% 300.12/300.64 22725[0:SpL:5538.2,461.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || equal(hAPP(v,w),w) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),y,z)* -> equal(hAPP(hAPP(x,v),w),w)**.
% 300.12/300.64 22724[0:SpL:5860.2,461.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || equal(hAPP(v,w),w) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),y,z)* -> equal(hAPP(hAPP(x,v),w),w)**.
% 300.12/300.64 22722[0:SpL:5360.2,461.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || equal(hAPP(v,w),w) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),y,z)* -> equal(hAPP(hAPP(x,v),w),w)**.
% 300.12/300.64 22721[0:SpL:5792.2,461.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || equal(hAPP(v,w),w) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),y,z)* -> equal(hAPP(hAPP(x,v),w),w)**.
% 300.12/300.64 22713[0:SpL:712.1,461.0] class_Orderings_Oorder(u) || equal(hAPP(v,c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u))** c_Record_Oiso__tuple__update__accessor__cong__assist(x,c_fequal(u),y,z)* -> equal(hAPP(hAPP(x,v),w),w)**.
% 300.12/300.64 23187[0:SpL:20163.1,461.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_Orderings_Otop__class_Otop(tc_bool))** c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_lessequals(u),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u))**.
% 300.12/300.64 23166[0:SpR:20163.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)))*.
% 300.12/300.64 23165[0:SpR:20163.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 23213[0:SpL:20167.1,461.0] class_Orderings_Obot(u) || equal(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),c_Orderings_Otop__class_Otop(tc_bool))** c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_lessequals(u),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u))**.
% 300.12/300.64 23191[0:SpR:20167.1,264.2] class_Orderings_Obot(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)))*.
% 300.12/300.64 23190[0:SpR:20167.1,434.2] class_Orderings_Obot(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 23217[0:SpR:20177.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Finite__Set_Ofold1Set(v,hAPP(c_fequal(w),c_Orderings_Otop__class_Otop(tc_bool)),w),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,u)))*.
% 300.12/300.64 23216[0:SpR:20177.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Finite__Set_Ofold1Set(v,hAPP(c_fequal(w),c_Orderings_Otop__class_Otop(tc_bool)),w),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 23290[0:SpL:472.0,20047.0] || hBOOL(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oimage(x,y,v),c_Orderings_Otop__class_Otop(tc_bool))))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oimage(c_Fun_Ocomp(u,x,v,w,y),y,w)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 300.12/300.64 23332[0:SpL:20252.1,461.0] class_Lattices_Obounded__lattice(u) || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),c_Orderings_Otop__class_Otop(tc_bool))** c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Lattices_Oupper__semilattice__class_Osup(u),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u))**.
% 300.12/300.64 23311[0:SpR:20252.1,264.2] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)))*.
% 300.12/300.64 23310[0:SpR:20252.1,434.2] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 23358[0:SpL:20253.1,461.0] class_Lattices_Obounded__lattice(u) || equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(tc_bool))** c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Lattices_Olower__semilattice__class_Oinf(u),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(u))**.
% 300.12/300.64 23336[0:SpR:20253.1,264.2] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)))*.
% 300.12/300.64 23335[0:SpR:20253.1,434.2] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 23449[0:SpL:46.0,20047.0] || hBOOL(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oimage(x,y,v),c_Orderings_Otop__class_Otop(tc_bool))))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oimage(c_COMBB(u,x,v,w,y),y,w)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 300.12/300.64 23391[0:SpR:46.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oimage(u,v,w),hAPP(c_Set_Oimage(x,y,v),z),hAPP(c_Set_Oimage(c_COMBB(u,x,v,w,y),y,w),z),x1,x2),c_Set_Oimage(u,v,w))**.
% 300.12/300.64 23536[0:SpR:8816.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_COMBK(c_False,tc_bool,y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(z,tc_bool,y),x,u)))*.
% 300.12/300.64 23535[0:SpR:8816.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Set_Oimage(y,tc_bool,z),x,u)),c_COMBK(c_False,tc_bool,z)))*.
% 300.12/300.64 23665[0:SpR:8989.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_COMBK(c_False,tc_bool,y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(z,tc_bool,y),x,u)))*.
% 300.12/300.64 23664[0:SpR:8989.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Set_Oimage(y,tc_bool,z),x,u)),c_COMBK(c_False,tc_bool,z)))*.
% 300.12/300.64 24677[0:Res:83.3,738.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(u),w,u),u),c_COMBK(c_False,tc_bool,u))**.
% 300.12/300.64 24676[0:Res:83.3,737.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(u),w,u),u),c_COMBK(c_False,tc_bool,u))**.
% 300.12/300.64 24688[0:Obv:24679.0] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(u),w,u)),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(u),w,u))**.
% 300.12/300.64 24689[0:Obv:24678.0] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(u),w,u)),v),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(u),w,u))**.
% 300.12/300.64 24690[0:Obv:24661.0] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x,u))* c_Finite__Set_Ofinite(x,u) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(u),x,u)),w))*.
% 300.12/300.64 24691[0:Obv:24660.0] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x,u))* c_Finite__Set_Ofinite(x,u) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(u),x,u)),v))*.
% 300.12/300.64 24692[0:SSi:24671.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(w,tc_bool)))* c_Finite__Set_Ofinite(v,tc_fun(w,tc_bool)) c_Finite__Set_Ofinite(u,w) -> c_Finite__Set_Ofinite(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),v,tc_fun(w,tc_bool)),w)*.
% 300.12/300.64 24709[0:SpR:9637.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_COMBK(c_False,tc_bool,y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(z,tc_bool,y),x,u)))*.
% 300.12/300.64 24708[0:SpR:9637.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Set_Oimage(y,tc_bool,z),x,u)),c_COMBK(c_False,tc_bool,z)))*.
% 300.12/300.64 24759[0:SpR:9870.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_COMBK(c_False,tc_bool,y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(z,tc_bool,y),x,u)))*.
% 300.12/300.64 24758[0:SpR:9870.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Set_Oimage(y,tc_bool,z),x,u)),c_COMBK(c_False,tc_bool,z)))*.
% 300.12/300.64 24896[0:SpL:803.2,325.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),x))* -> hBOOL(c_in(w,x,u)).
% 300.12/300.64 24894[0:SpL:803.2,610.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),x)) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),x))* equal(w,x).
% 300.12/300.64 24857[0:SpR:803.2,248.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),hAPP(c_Set_Oimage(c_Set_Oinsert(w,u),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 300.12/300.64 24856[0:SpR:803.2,35.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(c_Fun_Ofun__upd(c_Set_Oinsert(w,u),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),x,y),c_Set_Oinsert(w,u))**.
% 300.12/300.64 24820[0:SpR:803.2,418.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(c_in(w,c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),u))* -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)).
% 300.12/300.64 25081[0:SpL:802.2,325.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),x))* -> hBOOL(c_in(v,x,u)).
% 300.12/300.64 25079[0:SpL:802.2,610.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),x)) -> hBOOL(hAPP(c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),x))* equal(v,x).
% 300.12/300.64 25042[0:SpR:802.2,248.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),hAPP(c_Set_Oimage(c_Set_Oinsert(v,u),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 300.12/300.64 25041[0:SpR:802.2,35.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(c_Fun_Ofun__upd(c_Set_Oinsert(v,u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),x,y),c_Set_Oinsert(v,u))**.
% 300.12/300.64 25005[0:SpR:802.2,418.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(c_in(v,c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),u))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)).
% 300.12/300.64 25309[0:SpL:418.1,798.0] || hBOOL(c_in(u,hAPP(c_fequal(v),w),v))* equal(hAPP(c_Set_Oinsert(x,v),hAPP(c_fequal(v),y)),hAPP(c_fequal(v),w))* -> equal(x,u)* equal(y,u)*.
% 300.12/300.64 25784[0:Res:156.1,801.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),w))* equal(w,hAPP(c_fequal(u),v)) equal(w,c_COMBK(c_False,tc_bool,u)).
% 300.12/300.64 25783[0:Res:518.1,801.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),w))* equal(w,hAPP(c_fequal(u),v)) equal(w,c_COMBK(c_False,tc_bool,u)).
% 300.12/300.64 25986[0:Res:724.1,17.1] class_Orderings_Oorder(u) class_Orderings_Opreorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_COMBK(c_False,tc_bool,u)) hBOOL(hAPP(hAPP(c_lessequals(u),w),v))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))*.
% 300.12/300.64 25985[0:Res:450.2,17.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w) -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))*.
% 300.12/300.64 25984[0:Res:165.2,17.1] class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v) -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))*.
% 300.12/300.64 26008[0:SSi:25982.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),v))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))*.
% 300.12/300.64 26756[0:SpL:410.0,196.0] || c_Fun_Oinj__on(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Set_Oinsert(x,v),y)),v,z)* -> c_Fun_Oinj__on(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),y),v,z).
% 300.12/300.64 26656[0:SpR:611.0,410.0] || -> equal(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Set_Oinsert(u,v),x))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Set_Oinsert(u,v),x)))**.
% 300.12/300.64 26605[0:SpR:410.0,404.1] || hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x),v)) -> hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Set_Oinsert(y,v),x)),v))*.
% 300.12/300.64 26547[0:SpR:410.0,248.0] || -> hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),z))*.
% 300.12/300.64 26831[0:SSi:26830.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Set_Oinsert(u,t_a),v),v_x)),hAPP(w,v_x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(v,v_x)),hAPP(hAPP(c_Set_Oinsert(u,t_a),w),v_x)))**.
% 300.12/300.64 26832[0:Rew:26831.0,26384.0] || -> equal(hAPP(hAPP(c_Set_Oinsert(u,t_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),v),w)),v_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(v,v_x)),hAPP(hAPP(c_Set_Oinsert(u,t_a),w),v_x)))**.
% 300.12/300.64 27019[0:SSi:27018.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(c_in(u,v,t_a)) -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(u,t_a),w),v_x),tc_bool),hAPP(v,v_x)),hAPP(c_HOL_Ominus__class_Ominus(hAPP(w,v_x),tc_bool),hAPP(v,v_x)))**.
% 300.12/300.64 27086[0:SpL:8803.0,461.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),hAPP(v,w))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool))),w),w)**.
% 300.12/300.64 27158[0:SpL:8976.0,461.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),hAPP(v,w))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),tc_fun(tc_bool,tc_bool))),w),w)**.
% 300.12/300.64 27228[0:Res:425.2,453.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(x,y,u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(x,y,u))**.
% 300.12/300.64 27227[0:Res:425.2,452.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(x,y,u)),c_SetInterval_Oord__class_OatLeastAtMost(x,y,u))**.
% 300.12/300.64 27221[0:Res:425.2,528.0] class_Orderings_Oorder(tc_Hoare__Mirabelle_Otriple(u)) || c_Hoare__Mirabelle_Ohoare__derivs(c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_Hoare__Mirabelle_Otriple(u)),x,u)* -> hBOOL(hAPP(hAPP(c_lessequals(tc_Hoare__Mirabelle_Otriple(u)),v),w)) c_Hoare__Mirabelle_Ohoare__derivs(c_SetInterval_Oord__class_OatLeastAtMost(y,z,tc_Hoare__Mirabelle_Otriple(u)),x,u)*.
% 300.12/300.64 27220[0:Res:425.2,527.0] class_Orderings_Oorder(tc_Hoare__Mirabelle_Otriple(u)) || c_Hoare__Mirabelle_Ohoare__derivs(v,c_SetInterval_Oord__class_OatLeastAtMost(w,x,tc_Hoare__Mirabelle_Otriple(u)),u)* -> hBOOL(hAPP(hAPP(c_lessequals(tc_Hoare__Mirabelle_Otriple(u)),y),z)) c_Hoare__Mirabelle_Ohoare__derivs(v,c_SetInterval_Oord__class_OatLeastAtMost(y,z,tc_Hoare__Mirabelle_Otriple(u)),u)*.
% 300.12/300.64 27258[0:SSi:27238.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(x,y,u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u))**.
% 300.12/300.64 27259[0:SSi:27237.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(x,y,u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u))**.
% 300.12/300.64 27260[0:SSi:27236.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(c_SetInterval_Oord__class_OatLeastLessThan(c_SetInterval_Oord__class_OatLeastAtMost(x,y,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 300.12/300.64 27261[0:SSi:27235.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_SetInterval_Oord__class_OatLeastAtMost(x,y,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 300.12/300.64 27318[0:SpL:13604.1,461.0] || hBOOL(hAPP(u,c_False)) equal(hAPP(c_Set_Oinsert(v,tc_bool),u),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Set_Oinsert(v,tc_bool),x,y)* -> equal(hAPP(hAPP(w,c_Complete__Lattice_OInf__class_OInf(tc_bool)),u),u)**.
% 300.12/300.64 27307[0:SpR:410.0,13604.1] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),v),c_False)) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),hAPP(c_Set_Oinsert(w,tc_bool),v))),c_False)**.
% 300.12/300.64 27894[0:SpL:13495.1,331.1] || hBOOL(hAPP(u,c_False)) hBOOL(c_in(u,v,w))* hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.64 27881[0:SpL:19877.0,331.1] || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v)) hBOOL(c_in(w,c_Orderings_Otop__class_Otop(tc_bool),x)) -> hBOOL(c_in(w,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(x,tc_bool)),x))*.
% 300.12/300.64 27812[0:SpL:20155.0,331.1] || hBOOL(c_in(hAPP(c_fequal(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* hBOOL(c_in(x,c_Orderings_Otop__class_Otop(tc_bool),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.64 27673[0:SpL:5302.1,331.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x))* hBOOL(c_in(y,c_False,z)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OgreaterThanAtMost(x1,x1,u),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.64 27672[0:SpL:5169.1,331.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x))* hBOOL(c_in(y,c_False,z)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OatLeastLessThan(x1,x1,u),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.64 27656[0:SpL:13738.1,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,c_False,y)) -> equal(z,c_False) hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_SetInterval_Oord__class_OatLeastAtMost(z,c_False,tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.64 27647[0:SpL:50.1,331.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x)) hBOOL(c_in(y,v,z)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.64 27646[0:SpL:1919.1,331.1] class_Lattices_Olattice(u) || hBOOL(c_in(v,w,x)) hBOOL(c_in(y,v,z)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.64 27645[0:SpL:12821.1,331.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) hBOOL(c_in(y,v,z)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.64 27644[0:SpL:255.1,331.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x)) hBOOL(c_in(y,v,z)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.64 27643[0:SpL:1918.1,331.1] class_Lattices_Olattice(u) || hBOOL(c_in(v,w,x)) hBOOL(c_in(y,v,z)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.64 27642[0:SpL:12701.1,331.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) hBOOL(c_in(y,v,z)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.64 28666[0:SpR:13619.0,326.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v)) -> equal(hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u)),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u))**.
% 300.12/300.64 28655[0:SpR:12544.0,326.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(c_False,tc_bool),u),v,w))* -> equal(hAPP(c_Set_Oinsert(c_False,x),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v)),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v))**.
% 300.12/300.64 28654[0:SpR:9924.0,326.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> equal(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),x),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v)),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v))**.
% 300.12/300.64 28653[0:SpR:9032.0,326.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> equal(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),x),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v)),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v))**.
% 300.12/300.64 28650[0:SpR:9690.0,326.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> equal(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),x),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v)),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v))**.
% 300.12/300.64 28649[0:SpR:8858.0,326.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> equal(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),x),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v)),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v))**.
% 300.12/300.64 28630[0:SpR:20154.0,326.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w))* -> equal(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),x),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v)),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v))**.
% 300.12/300.64 28595[0:SpR:20242.0,326.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w))* -> equal(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),x),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v)),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v))**.
% 300.12/300.64 28594[0:SpR:20206.0,326.1] || hBOOL(c_in(hAPP(c_lessequals(tc_bool),u),v,w))* -> equal(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),x),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v)),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v))**.
% 300.12/300.64 28593[0:SpR:20243.0,326.1] || hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u,v)) -> equal(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),u)),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),u))**.
% 300.12/300.64 28522[0:SpR:1916.0,326.1] || hBOOL(c_in(u,v,w)) -> equal(hAPP(c_Set_Oinsert(u,x),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w,x),v)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w,x),v))**.
% 300.12/300.64 28521[0:SpR:1118.0,326.1] || hBOOL(c_in(c_False,u,v)) -> equal(hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),v,w),u)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),v,w),u))**.
% 300.12/300.64 28519[0:SpR:1088.0,326.1] || hBOOL(c_in(u,v,w))* -> equal(hAPP(c_Set_Oinsert(c_False,x),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),v)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),w,x),v))**.
% 300.12/300.64 28492[0:SpR:988.0,326.1] || hBOOL(c_in(c_False,u,v)) -> equal(hAPP(c_Set_Oinsert(w,x),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v,x),u)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v,x),u))**.
% 300.12/300.64 28466[0:SpR:657.0,326.1] || hBOOL(c_in(u,v,w))* -> equal(hAPP(c_Set_Oinsert(x,y),hAPP(c_Set_Oimage(c_COMBK(x,z,x1),w,y),v)),hAPP(c_Set_Oimage(c_COMBK(x,z,x1),w,y),v))**.
% 300.12/300.64 28459[0:SpR:956.0,326.1] || hBOOL(c_in(u,v,w)) -> equal(hAPP(c_Set_Oinsert(u,x),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),w,x),v)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),w,x),v))**.
% 300.12/300.64 28449[0:SpR:9728.0,326.1] || hBOOL(c_in(u,v,w))* -> equal(hAPP(c_Set_Oinsert(c_False,x),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool),w,x),v)),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool),w,x),v))**.
% 300.12/300.64 28448[0:SpR:9002.0,326.1] || hBOOL(c_in(u,v,w))* -> equal(hAPP(c_Set_Oinsert(c_False,x),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool),w,x),v)),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool),w,x),v))**.
% 300.12/300.64 28447[0:SpR:9428.0,326.1] || hBOOL(c_in(u,v,w))* -> equal(hAPP(c_Set_Oinsert(c_False,x),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool),w,x),v)),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool),w,x),v))**.
% 300.12/300.64 28446[0:SpR:8828.0,326.1] || hBOOL(c_in(u,v,w))* -> equal(hAPP(c_Set_Oinsert(c_False,x),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool),w,x),v)),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool),w,x),v))**.
% 300.12/300.64 30368[0:SpL:159.0,4436.0] || equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,v,w,x,y),z,x1,y,x),c_Fun_Ocomp(u,c_Fun_Ofun__upd(v,z,x2,y,w),w,x,y))* -> equal(hAPP(u,x2),x1).
% 300.12/300.64 30329[0:SpR:13619.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Fun_Ofun__upd(u,v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),w,x),x,y,w),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,x,y,w),v,c_False,w,y))*.
% 300.12/300.64 30318[0:SpR:12544.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Fun_Ofun__upd(u,v,hAPP(c_Set_Oinsert(c_False,tc_bool),w),x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,y,z,x),v,c_False,x,z))*.
% 300.12/300.64 30317[0:SpR:9924.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Fun_Ofun__upd(u,v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool),x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,y,z,x),v,c_Orderings_Otop__class_Otop(tc_bool),x,z))*.
% 300.12/300.64 30316[0:SpR:9032.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Fun_Ofun__upd(u,v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool),x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,y,z,x),v,c_Orderings_Otop__class_Otop(tc_bool),x,z))*.
% 300.12/300.64 30313[0:SpR:9690.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Fun_Ofun__upd(u,v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool),x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,y,z,x),v,c_Orderings_Otop__class_Otop(tc_bool),x,z))*.
% 300.12/300.64 30312[0:SpR:8858.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Fun_Ofun__upd(u,v,c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool),x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,y,z,x),v,c_Orderings_Otop__class_Otop(tc_bool),x,z))*.
% 300.12/300.64 30293[0:SpR:20154.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Fun_Ofun__upd(u,v,c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,y,z,x),v,c_Orderings_Otop__class_Otop(tc_bool),x,z))*.
% 300.12/300.64 30258[0:SpR:20242.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Fun_Ofun__upd(u,v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,y,z,x),v,c_Orderings_Otop__class_Otop(tc_bool),x,z))*.
% 300.12/300.64 30257[0:SpR:20206.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Fun_Ofun__upd(u,v,hAPP(c_lessequals(tc_bool),w),x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,y,z,x),v,c_Orderings_Otop__class_Otop(tc_bool),x,z))*.
% 300.12/300.64 30256[0:SpR:20243.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Fun_Ofun__upd(u,v,hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),w,x),x,y,w),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,x,y,w),v,c_Orderings_Otop__class_Otop(tc_bool),w,y))*.
% 300.12/300.64 30182[0:SpR:1916.0,159.0] || -> equal(c_Fun_Ocomp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),c_Fun_Ofun__upd(v,w,u,x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,y,z,x),w,u,x,z))*.
% 300.12/300.64 30181[0:SpR:1118.0,159.0] || -> equal(c_Fun_Ocomp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),c_Fun_Ofun__upd(v,w,c_False,x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,y,z,x),w,c_False,x,z))*.
% 300.12/300.64 30179[0:SpR:1088.0,159.0] || -> equal(c_Fun_Ocomp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),c_Fun_Ofun__upd(u,v,w,x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,y,z,x),v,c_False,x,z))*.
% 300.12/300.64 30152[0:SpR:988.0,159.0] || -> equal(c_Fun_Ocomp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),c_Fun_Ofun__upd(v,w,c_False,x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,y,z,x),w,u,x,z))*.
% 300.12/300.64 30126[0:SpR:657.0,159.0] || -> equal(c_Fun_Ocomp(c_COMBK(u,v,w),c_Fun_Ofun__upd(x,y,z,x1,x2),x2,x3,x1),c_Fun_Ofun__upd(c_Fun_Ocomp(c_COMBK(u,v,w),x,x2,x3,x1),y,u,x1,x3))*.
% 300.12/300.64 30119[0:SpR:956.0,159.0] || -> equal(c_Fun_Ocomp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),c_Fun_Ofun__upd(u,v,w,x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u,y,z,x),v,w,x,z))*.
% 300.12/300.64 30108[0:SpR:9728.0,159.0] || -> equal(c_Fun_Ocomp(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),c_Fun_Ofun__upd(v,w,x,y,z),z,x1,y),c_Fun_Ofun__upd(c_Fun_Ocomp(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,z,x1,y),w,c_False,y,x1))*.
% 300.12/300.64 30107[0:SpR:9002.0,159.0] || -> equal(c_Fun_Ocomp(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),c_Fun_Ofun__upd(v,w,x,y,z),z,x1,y),c_Fun_Ofun__upd(c_Fun_Ocomp(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,z,x1,y),w,c_False,y,x1))*.
% 300.12/300.64 30106[0:SpR:9428.0,159.0] || -> equal(c_Fun_Ocomp(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),c_Fun_Ofun__upd(v,w,x,y,z),z,x1,y),c_Fun_Ofun__upd(c_Fun_Ocomp(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,z,x1,y),w,c_False,y,x1))*.
% 300.12/300.64 30105[0:SpR:8828.0,159.0] || -> equal(c_Fun_Ocomp(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),c_Fun_Ofun__upd(v,w,x,y,z),z,x1,y),c_Fun_Ofun__upd(c_Fun_Ocomp(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,z,x1,y),w,c_False,y,x1))*.
% 300.12/300.64 30069[0:SpR:910.1,159.0] class_Lattices_Olower__semilattice(u) || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x,y,z),w,hAPP(v,w),z,y),c_Fun_Ocomp(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x,y,z))**.
% 300.12/300.64 30068[0:SpR:1975.1,159.0] class_Lattices_Olattice(u) || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x,y,z),w,hAPP(v,w),z,y),c_Fun_Ocomp(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x,y,z))**.
% 300.12/300.64 30067[0:SpR:908.1,159.0] class_Lattices_Oupper__semilattice(u) || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x,y,z),w,hAPP(v,w),z,y),c_Fun_Ocomp(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x,y,z))**.
% 300.12/300.64 30066[0:SpR:1945.1,159.0] class_Lattices_Olattice(u) || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x,y,z),w,hAPP(v,w),z,y),c_Fun_Ocomp(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x,y,z))**.
% 300.12/300.64 30042[0:SpR:1038.1,159.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(v,c_Complete__Lattice_OSup__class_OSup(u),w,x,y),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),hAPP(v,c_Orderings_Otop__class_Otop(u)),y,x),c_Fun_Ocomp(v,c_Complete__Lattice_OSup__class_OSup(u),w,x,y))**.
% 300.12/300.64 30041[0:SpR:1036.1,159.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(v,c_Complete__Lattice_OInf__class_OInf(u),w,x,y),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),hAPP(v,c_Orderings_Obot__class_Obot(u)),y,x),c_Fun_Ocomp(v,c_Complete__Lattice_OInf__class_OInf(u),w,x,y))**.
% 300.12/300.64 30040[0:SpR:1034.1,159.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(v,c_Complete__Lattice_OInf__class_OInf(u),w,x,y),c_COMBK(c_False,tc_bool,u),hAPP(v,c_Orderings_Otop__class_Otop(u)),y,x),c_Fun_Ocomp(v,c_Complete__Lattice_OInf__class_OInf(u),w,x,y))**.
% 300.12/300.64 30039[0:SpR:1032.1,159.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(v,c_Complete__Lattice_OSup__class_OSup(u),w,x,y),c_COMBK(c_False,tc_bool,u),hAPP(v,c_Orderings_Obot__class_Obot(u)),y,x),c_Fun_Ocomp(v,c_Complete__Lattice_OSup__class_OSup(u),w,x,y))**.
% 300.12/300.64 30575[0:SpL:29192.1,352.0] || equal(c_False,u) hBOOL(hAPP(c_False,v)) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,tc_fun(z,tc_bool)),v))*.
% 300.12/300.64 30540[0:SpR:29192.1,265.1] || equal(c_False,u) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool))))*.
% 300.12/300.64 30539[0:SpR:29192.1,435.1] || equal(c_False,u) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool))),c_False))*.
% 300.12/300.64 30701[0:SSi:30687.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))** hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),x)).
% 300.12/300.64 30702[0:SSi:30675.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x,tc_fun(u,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),x)))*.
% 300.12/300.64 30748[0:SpL:29740.1,352.0] || equal(c_False,u) hBOOL(hAPP(c_False,v)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,tc_fun(z,tc_bool)),v))*.
% 300.12/300.64 30713[0:SpR:29740.1,265.1] || equal(c_False,u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool))))*.
% 300.12/300.64 30712[0:SpR:29740.1,435.1] || equal(c_False,u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool))),c_False))*.
% 300.12/300.64 31715[0:SSi:31703.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))** hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),x)).
% 300.12/300.64 31716[0:SSi:31691.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x,tc_fun(u,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),x)))*.
% 300.12/300.64 34885[0:SpR:29198.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(w,v,tc_bool),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OInf__class_OInf(tc_bool),y,u)))*.
% 300.12/300.64 34884[0:SpR:29198.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(w,v,tc_bool),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OInf__class_OInf(tc_bool),y,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 34979[0:SpR:29746.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(w,v,tc_bool),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OInf__class_OInf(tc_bool),y,u)))*.
% 300.12/300.64 34978[0:SpR:29746.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(w,v,tc_bool),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OInf__class_OInf(tc_bool),y,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 35210[0:SpR:28358.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),w),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OInf__class_OInf(tc_bool),y,u)))*.
% 300.12/300.64 35209[0:SpR:28358.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),w),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OInf__class_OInf(tc_bool),y,u)),v))*.
% 300.12/300.64 35298[0:SpL:35239.1,352.0] || equal(c_False,u) hBOOL(hAPP(u,v))* hBOOL(c_in(hAPP(c_fequal(tc_bool),u),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.64 35280[0:SpR:35239.1,265.1] || equal(c_False,u) hBOOL(c_in(hAPP(c_fequal(tc_bool),u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 35279[0:SpR:35239.1,435.1] || equal(c_False,u) hBOOL(c_in(hAPP(c_fequal(tc_bool),u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),u))*.
% 300.12/300.64 35327[0:SpL:35267.1,352.0] || equal(c_False,u) hBOOL(hAPP(u,v))* hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.64 35308[0:SpR:35267.1,265.1] || equal(c_False,u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 35307[0:SpR:35267.1,435.1] || equal(c_False,u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),u))*.
% 300.12/300.64 37362[0:SpR:249.0,26165.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),v_x),tc_fun(v,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),v_x)))*.
% 300.12/300.64 37846[0:SpR:241.1,248.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),z))*.
% 300.12/300.64 38441[0:SpR:126.1,248.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),z))*.
% 300.12/300.64 39001[0:SpR:240.1,248.0] class_Lattices_Olattice(u) || -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),z))*.
% 300.12/300.64 39605[0:SpR:127.1,248.0] class_Lattices_Olattice(u) || -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),z))*.
% 300.12/300.64 40192[0:Res:793.0,3223.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x,y,t_a)),t_a)* hBOOL(c_in(v_sko__Hoare__Mirabelle__Xescape__2(u,c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),y,x),v,w))*.
% 300.12/300.64 40139[0:SpR:28268.1,793.0] || equal(v_sko__Hoare__Mirabelle__Xescape__2(u,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v,w),c_False) -> hBOOL(v_sko__Hoare__Mirabelle__Xescape__1(u,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v,w)) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w,v,t_a)),t_a)*.
% 300.12/300.64 40136[0:SpR:28269.1,793.0] || equal(v_sko__Hoare__Mirabelle__Xescape__1(u,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v,w),c_False) -> hBOOL(v_sko__Hoare__Mirabelle__Xescape__2(u,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v,w)) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w,v,t_a)),t_a)*.
% 300.12/300.64 40091[0:SpR:12625.0,793.0] || -> hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v_sko__Hoare__Mirabelle__Xescape__2(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),v,w))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),w,v,t_a)),t_a)*.
% 300.12/300.64 40078[0:SpR:5302.1,793.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xescape__2(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),x,y))) c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),y,x,t_a)),t_a)*.
% 300.12/300.64 40076[0:SpR:5169.1,793.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xescape__2(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),x,y))) c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),y,x,t_a)),t_a)*.
% 300.12/300.64 40063[0:SpR:13738.1,793.0] || -> equal(u,c_False) hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xescape__2(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),w,x))) c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),x,w,t_a)),t_a)*.
% 300.12/300.64 40428[0:Res:792.0,3223.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x,y,t_a)),t_a)* hBOOL(c_in(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),y,x),v,w))*.
% 300.12/300.64 40375[0:SpR:28268.1,792.0] || equal(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v,w),c_False) -> hBOOL(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(u,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v,w)) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w,v,t_a)),t_a)*.
% 300.12/300.64 40372[0:SpR:28269.1,792.0] || equal(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(u,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v,w),c_False) -> hBOOL(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v,w)) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w,v,t_a)),t_a)*.
% 300.12/300.64 40327[0:SpR:12625.0,792.0] || -> hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),v,w))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),w,v,t_a)),t_a)*.
% 300.12/300.64 40314[0:SpR:5302.1,792.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),x,y))) c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),y,x,t_a)),t_a)*.
% 300.12/300.64 40312[0:SpR:5169.1,792.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),x,y))) c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),y,x,t_a)),t_a)*.
% 300.12/300.64 40299[0:SpR:13738.1,792.0] || -> equal(u,c_False) hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),w,x))) c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),x,w,t_a)),t_a)*.
% 300.12/300.64 40629[0:Res:791.0,3223.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x,y,t_a)),t_a)* hBOOL(c_in(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),y,x),v,w))*.
% 300.12/300.64 40576[0:SpR:28268.1,791.0] || equal(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v,w),c_False) -> hBOOL(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(u,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v,w)) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w,v,t_a)),t_a)*.
% 300.12/300.64 40573[0:SpR:28269.1,791.0] || equal(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(u,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v,w),c_False) -> hBOOL(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v,w)) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w,v,t_a)),t_a)*.
% 300.12/300.64 40528[0:SpR:12625.0,791.0] || -> hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),v,w))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),w,v,t_a)),t_a)*.
% 300.12/300.64 40515[0:SpR:5302.1,791.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),x,y))) c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),y,x,t_a)),t_a)*.
% 300.12/300.64 40513[0:SpR:5169.1,791.0] class_Orderings_Oorder(u) || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v,c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),x,y))) c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),y,x,t_a)),t_a)*.
% 300.12/300.64 40500[0:SpR:13738.1,791.0] || -> equal(u,c_False) hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),w,x))) c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),x,w,t_a)),t_a)*.
% 300.12/300.64 41079[0:SpR:12750.0,131.1] || -> equal(u,c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v,w,x),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_False,w,x),c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v,w,x))**.
% 300.12/300.64 41077[0:SpR:13532.0,131.1] || -> equal(u,hAPP(c_lessequals(tc_bool),c_False)) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v,w,x),hAPP(c_lessequals(tc_bool),c_False),c_False,w,x),c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v,w,x))**.
% 300.12/300.64 41076[0:SpR:12738.0,131.1] || -> equal(u,hAPP(c_fequal(tc_bool),c_False)) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v,w,x),hAPP(c_fequal(tc_bool),c_False),c_False,w,x),c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v,w,x))**.
% 300.12/300.64 41075[0:SpR:15540.0,131.1] || -> equal(u,c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v,w,x),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),c_False,w,x),c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v,w,x))**.
% 300.12/300.64 41074[0:SpR:15494.0,131.1] || -> equal(u,hAPP(c_fequal(tc_bool),c_False)) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v,w,x),hAPP(c_fequal(tc_bool),c_False),c_False,w,x),c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v,w,x))**.
% 300.12/300.64 41064[0:SpR:1014.1,131.1] class_Orderings_Oorder(u) || -> equal(v,w) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_fequal(u),v,x,y,z),w,c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),y,z),c_Fun_Ofun__upd(c_fequal(u),v,x,y,z))**.
% 300.12/300.64 41049[0:SpR:13544.0,131.1] || -> equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,w,x,y),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_False,x,y),c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,w,x,y))**.
% 300.12/300.64 41046[0:SpR:8997.0,131.1] || -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,w,x,y),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),c_False,x,y),c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,w,x,y))**.
% 300.12/300.64 41045[0:SpR:5334.0,131.1] || -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,w,x,y),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),c_False,x,y),c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,w,x,y))**.
% 300.12/300.64 41044[0:SpR:8824.0,131.1] || -> equal(u,c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,w,x,y),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),c_False,x,y),c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,w,x,y))**.
% 300.12/300.64 41043[0:SpR:5201.0,131.1] || -> equal(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,w,x,y),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),c_False,x,y),c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,w,x,y))**.
% 300.12/300.64 41199[0:Res:402.1,486.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* hBOOL(c_in(x,hAPP(c_Set_Oinsert(y,u),v),u))* -> hBOOL(c_in(x,hAPP(c_Set_Oinsert(y,u),w),u))*.
% 300.12/300.64 41198[0:Res:402.1,53.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* c_Fun_Oinj__on(x,hAPP(c_Set_Oinsert(y,u),w),u,z)* -> c_Fun_Oinj__on(x,hAPP(c_Set_Oinsert(y,u),v),u,z)*.
% 300.12/300.64 41164[0:SpR:9869.0,402.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),hAPP(c_Set_Oinsert(w,tc_bool),u)),hAPP(c_fequal(tc_bool),w)))*.
% 300.12/300.64 41163[0:SpR:8988.0,402.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),hAPP(c_Set_Oinsert(w,tc_bool),u)),hAPP(c_fequal(tc_bool),w)))*.
% 300.12/300.64 41162[0:SpR:9636.0,402.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),hAPP(c_Set_Oinsert(w,tc_bool),u)),hAPP(c_fequal(tc_bool),w)))*.
% 300.12/300.64 41161[0:SpR:8815.0,402.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),hAPP(c_Set_Oinsert(w,tc_bool),u)),hAPP(c_fequal(tc_bool),w)))*.
% 300.12/300.64 41149[0:SpR:1461.0,402.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_fequal(u),w))) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(w,u),v)),hAPP(c_fequal(u),w)))*.
% 300.12/300.64 41147[0:SpR:699.0,402.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_COMBK(c_False,tc_bool,u))) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(w,u),v)),hAPP(c_fequal(u),w)))*.
% 300.12/300.64 41223[0:SSi:41219.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Set_Oinsert(x,u),v),y)),hAPP(hAPP(c_Set_Oinsert(x,u),w),y)))*.
% 300.12/300.64 41962[0:SpL:14872.0,204.0] || hBOOL(c_in(u,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),x),w))* c_Fun_Oinj__on(c_HOL_Ominus__class_Ominus(u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),v,w)* -> hBOOL(c_in(c_False,x,v)).
% 300.12/300.64 41708[0:SpL:14632.0,204.0] || hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),x),w))* c_Fun_Oinj__on(c_HOL_Ominus__class_Ominus(u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),v,w)* -> hBOOL(c_in(u,x,v)).
% 300.12/300.64 41707[0:SpL:14531.0,204.0] || hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(c_False,tc_bool),u,v),w),v))* c_Fun_Oinj__on(c_HOL_Ominus__class_Ominus(c_False,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,v)* -> hBOOL(c_in(x,w,u))*.
% 300.12/300.64 42569[0:SpR:249.0,26440.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),v_x),tc_fun(v,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),v_x)),w))*.
% 300.12/300.64 42980[0:SpL:794.0,7112.0] || hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_Set_Oinsert(x,w),y)),w))* -> hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_fequal(w),x)),u)).
% 300.12/300.64 42974[0:SpL:794.0,3223.0] || hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),x)),y))* -> hBOOL(c_in(y,hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_fequal(v),w)),v))*.
% 300.12/300.64 43113[0:SpR:795.0,794.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),hAPP(c_fequal(v),x))),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(x,v),hAPP(c_fequal(v),w))))*.
% 300.12/300.64 43162[0:Rew:795.0,43117.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(x,v),w)),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(x,v),w)))**.
% 300.12/300.64 43300[0:SSi:43299.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(x,u),w)),v))* -> hBOOL(c_in(x,w,u)).
% 300.12/300.64 43306[0:SSi:43293.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(x,u),w)),v))* -> hBOOL(c_in(x,w,u)).
% 300.12/300.64 43531[0:SSi:43519.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)),v)** -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),x)) hBOOL(c_in(w,v,u)).
% 300.12/300.64 43723[0:SpL:356.1,7112.0] || hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(w,tc_bool)),y)),w))* -> hBOOL(c_in(v,y,w)) hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),x),u)).
% 300.12/300.64 43717[0:SpL:356.1,3223.0] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),x)),y))* -> hBOOL(c_in(u,x,v)) hBOOL(c_in(y,hAPP(c_Set_Oinsert(u,v),w),v)).
% 300.12/300.64 44559[0:SpL:456.0,742.0] || equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(u,v),w),x,v,tc_fun(y,tc_bool)),c_COMBK(c_False,tc_bool,y))** -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,x,v,tc_fun(y,tc_bool)),c_COMBK(c_False,tc_bool,y)).
% 300.12/300.64 44182[0:SpR:456.0,133.2] || c_Finite__Set_Ofinite(hAPP(u,v),w) c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,u,y,tc_fun(w,tc_bool)),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(v,y),x),u,y,tc_fun(w,tc_bool)),w)*.
% 300.12/300.64 44171[0:SpR:456.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(v,w)),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(w,z),x1),v,z,tc_fun(u,tc_bool))))*.
% 300.12/300.64 44628[0:SpL:44156.1,352.0] || equal(c_False,u) hBOOL(hAPP(c_False,v)) hBOOL(c_in(hAPP(c_lessequals(tc_bool),u),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.64 44611[0:SpR:44156.1,265.1] || equal(c_False,u) hBOOL(c_in(hAPP(c_lessequals(tc_bool),u),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 44610[0:SpR:44156.1,435.1] || equal(c_False,u) hBOOL(c_in(hAPP(c_lessequals(tc_bool),u),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 300.12/300.64 44663[0:Res:28274.1,1141.0] || equal(hAPP(u,c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool))))),c_False)** -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_lessequals(tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(u,tc_bool))),c_False)).
% 300.12/300.64 44744[0:Res:454.1,259.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(v,w,u),x)),y),y)** hBOOL(c_in(z,x,w))* -> hBOOL(c_in(hAPP(v,z),y,u))*.
% 300.12/300.64 44855[0:SpL:266.1,44668.0] || hBOOL(c_in(u,c_False,v)) equal(hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),c_False),c_False) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(u,v),w),tc_fun(v,tc_bool)),tc_bool),c_False)**.
% 300.12/300.64 44816[0:SpL:411.0,44668.0] || equal(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_False)),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(u,v),w)),tc_bool),c_False).
% 300.12/300.64 45253[0:SpR:12625.0,87.2] || c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u,v,w,x,y)* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),v,x)) c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u,hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),x),v),c_Orderings_Otop__class_Otop(tc_bool),x,y)*.
% 300.12/300.64 45227[0:SpR:50.1,87.2] class_Lattices_Olower__semilattice(u) || c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(u),v,w,x,y,z) -> hBOOL(c_in(x,w,y)) c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(u),v,hAPP(c_Set_Oinsert(x,y),w),x,y,z)*.
% 300.12/300.64 45226[0:SpR:1919.1,87.2] class_Lattices_Olattice(u) || c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(u),v,w,x,y,z) -> hBOOL(c_in(x,w,y)) c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(u),v,hAPP(c_Set_Oinsert(x,y),w),x,y,z)*.
% 300.12/300.64 45225[0:SpR:12821.1,87.2] class_Complete__Lattice_Ocomplete__lattice(u) || c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(u),v,w,x,y,z) -> hBOOL(c_in(x,w,y)) c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(u),v,hAPP(c_Set_Oinsert(x,y),w),x,y,z)*.
% 300.12/300.64 45224[0:SpR:255.1,87.2] class_Lattices_Oupper__semilattice(u) || c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(u),v,w,x,y,z) -> hBOOL(c_in(x,w,y)) c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(u),v,hAPP(c_Set_Oinsert(x,y),w),x,y,z)*.
% 300.12/300.64 45223[0:SpR:1918.1,87.2] class_Lattices_Olattice(u) || c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(u),v,w,x,y,z) -> hBOOL(c_in(x,w,y)) c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(u),v,hAPP(c_Set_Oinsert(x,y),w),x,y,z)*.
% 300.12/300.64 45222[0:SpR:12701.1,87.2] class_Complete__Lattice_Ocomplete__lattice(u) || c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(u),v,w,x,y,z) -> hBOOL(c_in(x,w,y)) c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(u),v,hAPP(c_Set_Oinsert(x,y),w),x,y,z)*.
% 300.12/300.64 45678[0:Res:26.1,492.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w))* hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),x))*.
% 300.12/300.64 45898[0:Res:470.2,496.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* hBOOL(c_in(x,w,u))* hBOOL(hAPP(hAPP(c_Set_Oinsert(x,u),v),y))* -> hBOOL(hAPP(w,y))*.
% 300.12/300.64 46043[0:Res:513.1,496.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* hBOOL(hAPP(hAPP(c_Set_Oimage(x,u,y),v),z))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(x,u,y),w),z))*.
% 300.12/300.64 46203[0:SpL:34556.1,461.0] || equal(u,hAPP(v,w))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),u)) equal(hAPP(hAPP(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),w),w)**.
% 300.12/300.64 46184[0:SpL:34556.1,461.0] || equal(hAPP(u,v),v)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),x,y)* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v)) equal(hAPP(hAPP(w,u),z),z)**.
% 300.12/300.64 46517[0:SpL:104.2,286.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(c_in(x,c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),u))* hBOOL(c_in(x,c_SetInterval_Oord__class_OatLeastLessThan(w,y,u),u))* -> .
% 300.12/300.64 46431[0:SpR:104.2,249.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(w,x,u),tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u)),c_SetInterval_Oord__class_OatLeastLessThan(w,x,u))**.
% 300.12/300.64 46633[0:Res:1374.0,814.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),c_Hoare__Mirabelle_Otriple_Otriple(w,c_Option_Othe(c_Com_Obody(x),tc_Com_Ocom),y,v))),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),c_Hoare__Mirabelle_Otriple_Otriple(w,c_Com_Ocom_OBODY(x),y,v)),v)*.
% 300.12/300.64 47774[0:Obv:47773.2] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,v,w))* c_Fun_Oinj__on(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),c_COMBK(c_False,tc_bool,y)),v,w,z)* -> equal(u,x)*.
% 300.12/300.64 47776[0:Obv:47775.2] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,v,w))* c_Fun_Oinj__on(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),v,w,z)* -> equal(u,x)*.
% 300.12/300.64 48881[0:SpL:20242.0,460.0] || equal(hAPP(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v)),c_Orderings_Otop__class_Otop(tc_bool))** c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x,y)* -> equal(hAPP(hAPP(w,u),v),hAPP(hAPP(w,c_Complete__Lattice_OSup__class_OSup(tc_bool)),v))*.
% 300.12/300.64 48880[0:SpL:20206.0,460.0] || equal(hAPP(u,hAPP(c_lessequals(tc_bool),v)),c_Orderings_Otop__class_Otop(tc_bool))** c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_lessequals(tc_bool),x,y)* -> equal(hAPP(hAPP(w,u),v),hAPP(hAPP(w,c_Complete__Lattice_OSup__class_OSup(tc_bool)),v))*.
% 300.12/300.64 48879[0:SpL:20243.0,460.0] || equal(hAPP(u,hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)),c_Orderings_Otop__class_Otop(tc_bool))** c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_HOL_Oord__class_Oless(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),c_False),hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_False))*.
% 300.12/300.64 48782[0:SpL:14632.0,460.0] || equal(hAPP(u,hAPP(v,w)),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,u),w),hAPP(hAPP(x,c_HOL_Ominus__class_Ominus(hAPP(v,w),tc_bool)),w))*.
% 300.12/300.64 48767[0:SpL:24543.0,460.0] || equal(hAPP(u,hAPP(v,w)),c_Orderings_Otop__class_Otop(tc_bool))** c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,u),w),hAPP(hAPP(x,c_Orderings_Otop__class_Otop(tc_fun(x1,tc_bool))),w))*.
% 300.12/300.64 48537[0:SpL:12624.0,460.0] || equal(hAPP(u,v),hAPP(w,v)) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),y,z)* -> equal(hAPP(hAPP(x,u),v),hAPP(hAPP(x,w),v))*.
% 300.12/300.64 48486[0:SpL:19460.0,460.0] || equal(hAPP(u,c_False),hAPP(v,c_False)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_HOL_Ominus__class_Ominus(x,tc_bool),y,z)* -> equal(hAPP(hAPP(w,u),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(w,v),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 49215[2:Res:402.1,47875.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(x,u),v)),hAPP(c_Set_Oinsert(x,u),w)),c_False)** -> .
% 300.12/300.64 50588[2:SpL:50431.1,331.1] || hBOOL(u) hBOOL(c_in(v,w,x))* hBOOL(c_in(y,c_False,z)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.64 50568[2:SpR:50431.1,791.0] || hBOOL(u) -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),w,x))) c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),x,w,t_a)),t_a)*.
% 300.12/300.64 50567[2:SpR:50431.1,792.0] || hBOOL(u) -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),w,x))) c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),x,w,t_a)),t_a)*.
% 300.12/300.64 50566[2:SpR:50431.1,793.0] || hBOOL(u) -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xescape__2(v,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),w,x))) c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),x,w,t_a)),t_a)*.
% 300.12/300.64 50752[2:SpL:50419.1,461.0] || hBOOL(u) equal(hAPP(v,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y)* -> equal(hAPP(hAPP(w,v),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool))**.
% 300.12/300.64 50733[2:SpR:50419.1,405.0] || hBOOL(u) -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v),x)),hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),x)))*.
% 300.12/300.64 53441[2:SpL:410.0,53092.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)))* equal(hAPP(c_Set_Oinsert(w,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),x)),c_False) -> .
% 300.12/300.64 53297[2:SpL:410.0,53092.0] || hBOOL(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Set_Oinsert(u,v),x)),c_False) -> .
% 300.12/300.64 54078[0:Rew:167.1,53979.2] class_Lattices_Olower__semilattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)))**.
% 300.12/300.64 54081[0:Rew:167.1,53933.2] class_Lattices_Olower__semilattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)))**.
% 300.12/300.64 54119[0:Rew:144.1,53910.2] class_Lattices_Odistrib__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),x))*.
% 300.12/300.64 54120[0:Rew:144.1,53909.2] class_Lattices_Odistrib__lattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),x))*.
% 300.12/300.64 54446[0:Rew:342.1,54342.2] class_Lattices_Oupper__semilattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)))**.
% 300.12/300.64 54450[0:Rew:342.1,54274.2] class_Lattices_Oupper__semilattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)))**.
% 300.12/300.64 54487[0:Rew:44.1,54255.2] class_Lattices_Odistrib__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),x))*.
% 300.12/300.64 54488[0:Rew:44.1,54254.2] class_Lattices_Odistrib__lattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),x))*.
% 300.12/300.64 54571[0:SSi:54570.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),hAPP(c_Set_Oinsert(v,u),x)),hAPP(c_Set_Oinsert(v,u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),x)))**.
% 300.12/300.64 54742[0:SpR:50.1,143.1] class_Lattices_Olower__semilattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)))**.
% 300.12/300.64 54695[0:SpR:50.1,143.1] class_Lattices_Olower__semilattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)))**.
% 300.12/300.64 54897[0:Rew:143.1,54671.2] class_Lattices_Odistrib__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w)))*.
% 300.12/300.64 54898[0:Rew:143.1,54670.2] class_Lattices_Odistrib__lattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w)))*.
% 300.12/300.64 55082[0:SpR:255.1,45.1] class_Lattices_Oupper__semilattice(u) class_Lattices_Odistrib__lattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)))**.
% 300.12/300.64 55302[0:Rew:45.1,55062.2] class_Lattices_Odistrib__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w)))*.
% 300.12/300.64 55303[0:Rew:45.1,55061.2] class_Lattices_Odistrib__lattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w)))*.
% 300.12/300.64 55544[2:SpL:50425.1,352.0] || hBOOL(u) hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.64 55506[2:SpR:50425.1,265.1] || hBOOL(u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 55505[2:SpR:50425.1,435.1] || hBOOL(u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 55982[0:SSi:55948.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x)),tc_fun(u,tc_bool)),w)),x))*.
% 300.12/300.64 55983[0:SSi:55925.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),x),tc_fun(u,tc_bool)),v)),w))*.
% 300.12/300.64 57798[0:Obv:57656.1] || equal(c_False,u) c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,c_Fun_Ocomp(z,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,x,x)),x1),hAPP(hAPP(v,z),x1))**.
% 300.12/300.64 57799[0:Obv:57587.1] class_Lattices_Obounded__lattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,c_Fun_Ocomp(z,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),x,x,x)),x1),hAPP(hAPP(v,z),x1))**.
% 300.12/300.64 57800[0:Obv:57584.1] class_Lattices_Obounded__lattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,c_Fun_Ocomp(z,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),x,x,x)),x1),hAPP(hAPP(v,z),x1))**.
% 300.12/300.64 57801[0:Obv:57575.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,c_Fun_Ocomp(y,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(z,tc_bool)),hAPP(v,x1)),w,w,w)),x1),hAPP(hAPP(u,y),x1))**.
% 300.12/300.64 58117[0:Res:320.0,285.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,y,w,tc_fun(x,tc_bool)),tc_fun(x,tc_bool)),z)),hAPP(y,u)))*.
% 300.12/300.64 58265[0:MRR:58264.3,13373.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v)) -> equal(w,c_False) equal(x,c_False)* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(w,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool)))*.
% 300.12/300.64 58381[0:SpL:54070.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),u),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),y,tc_fun(z,tc_bool)),v))*.
% 300.12/300.64 58281[0:SpR:54070.0,265.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),x,tc_fun(y,tc_bool))))*.
% 300.12/300.64 58280[0:SpR:54070.0,435.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),x,tc_fun(y,tc_bool))),v))*.
% 300.12/300.64 58441[0:SpR:58351.0,159.0] || -> equal(c_Fun_Ocomp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),c_Fun_Ofun__upd(v,w,u,x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,y,z,x),w,u,x,z))*.
% 300.12/300.64 58432[0:SpR:58351.0,326.1] || hBOOL(c_in(u,v,w)) -> equal(hAPP(c_Set_Oinsert(u,x),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w,x),v)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w,x),v))**.
% 300.12/300.64 58758[0:SpL:54071.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(u,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),y)),x,tc_fun(z,tc_bool)),v))*.
% 300.12/300.64 58649[0:SpR:54071.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),y)),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 58648[0:SpR:54071.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),y)),w,tc_fun(x,tc_bool))),u))*.
% 300.12/300.64 58926[0:Con:58842.4] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,v,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(w,c_False,tc_bool)))* -> equal(w,c_False) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),u)).
% 300.12/300.64 58927[2:Con:58841.4] class_Orderings_Olinorder(tc_bool) || hBOOL(u) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,w,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),w),v)).
% 300.12/300.64 58930[0:Con:58823.4] class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u)),c_SetInterval_Oord__class_OatLeastLessThan(x,x,u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v)).
% 300.12/300.64 58931[0:Con:58822.4] class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v)).
% 300.12/300.64 58932[0:Con:58821.4] class_Orderings_Oorder(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u)),c_COMBK(c_False,tc_bool,u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),w),v)).
% 300.12/300.64 59146[0:SpL:54074.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(u,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),u)),x,tc_fun(z,tc_bool)),v))*.
% 300.12/300.64 59036[0:SpR:54074.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),u)),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 59035[0:SpR:54074.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),u)),w,tc_fun(x,tc_bool))),u))*.
% 300.12/300.64 59411[0:SpL:54075.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(u,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),y),u)),x,tc_fun(z,tc_bool)),v))*.
% 300.12/300.64 59291[0:SpR:54075.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),y),u)),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 59290[0:SpR:54075.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),y),u)),w,tc_fun(x,tc_bool))),u))*.
% 300.12/300.64 59697[0:SpL:54440.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),y,tc_fun(z,tc_bool)),v))*.
% 300.12/300.64 59597[0:SpR:54440.0,265.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),x,tc_fun(y,tc_bool))))*.
% 300.12/300.64 59596[0:SpR:54440.0,435.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),x,tc_fun(y,tc_bool))),v))*.
% 300.12/300.64 59862[0:SpL:54831.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(u,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),y)),x,tc_fun(z,tc_bool)),v))*.
% 300.12/300.64 59739[0:SpR:54831.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),y)),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 59738[0:SpR:54831.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),y)),w,tc_fun(x,tc_bool))),u))*.
% 300.12/300.64 60124[0:SpL:54836.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),y,tc_fun(z,tc_bool)),v))*.
% 300.12/300.64 60020[0:SpR:54836.0,265.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x,tc_fun(y,tc_bool))))*.
% 300.12/300.64 60019[0:SpR:54836.0,435.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x,tc_fun(y,tc_bool))),u))*.
% 300.12/300.64 60330[0:SpL:54837.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),y,tc_fun(z,tc_bool)),v))*.
% 300.12/300.64 60219[0:SpR:54837.0,265.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,tc_fun(y,tc_bool))))*.
% 300.12/300.64 60218[0:SpR:54837.0,435.1] || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,tc_fun(y,tc_bool))),u))*.
% 300.12/300.64 60556[0:MRR:60555.4,1059.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),w))* c_Finite__Set_Ofinite(w,u) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Finite__Set_Olinorder__class_OMin(w,u)),v)).
% 300.12/300.64 60749[0:MRR:60748.4,1059.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),w))* c_Finite__Set_Ofinite(w,u) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Finite__Set_Olinorder__class_OMax(w,u))).
% 300.12/300.64 61601[0:SpL:61339.1,352.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(hAPP(c_False,v)) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),y,tc_fun(z,tc_bool)),v))*.
% 300.12/300.64 61554[0:SpR:61339.1,265.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),x,tc_fun(y,tc_bool))))*.
% 300.12/300.64 61553[0:SpR:61339.1,435.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),x,tc_fun(y,tc_bool))),c_False))*.
% 300.12/300.64 61626[0:Obv:61625.3] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(v,w,x))* hBOOL(c_in(y,w,x))* c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),w,x,z)* -> equal(v,y)*.
% 300.12/300.64 61765[0:SpR:61326.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 300.12/300.64 61764[0:SpR:61326.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_False))*.
% 300.12/300.64 63007[0:SpR:336.0,3816.1] || hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x),w)) -> hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),y),v),tc_fun(w,tc_bool)),x),u))*.
% 300.12/300.64 62995[0:SpR:336.0,3804.1] || hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x),w)) -> hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),y),tc_fun(w,tc_bool)),x),u))*.
% 300.12/300.64 63123[0:Rew:336.0,63006.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),tc_fun(u,tc_bool)),x),hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v),tc_fun(u,tc_bool)),x))*.
% 300.12/300.64 63694[0:SpL:58781.1,461.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(hAPP(v,c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,y)* -> equal(hAPP(hAPP(w,v),z),z)**.
% 300.12/300.64 63692[0:SpL:58781.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),w))*.
% 300.12/300.64 63589[0:SpR:58781.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),y,u)))*.
% 300.12/300.64 63588[0:SpR:58781.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),y,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 63784[0:Obv:63783.3] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(v,w,x))* hBOOL(c_in(y,w,x))* c_Fun_Oinj__on(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w,x,z)* -> equal(v,y)*.
% 300.12/300.64 64061[0:SpR:63990.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u),w)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),w)))*.
% 300.12/300.64 64199[0:SpL:59170.1,461.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(hAPP(v,c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),y,z)* -> equal(hAPP(hAPP(w,v),u),u)**.
% 300.12/300.64 64197[0:SpL:59170.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u)),v))*.
% 300.12/300.64 64093[0:SpR:59170.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),x,u)))*.
% 300.12/300.64 64092[0:SpR:59170.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 64295[0:Rew:64287.2,64229.3] || equal(hAPP(u,v),c_Orderings_Otop__class_Otop(tc_bool)) equal(hAPP(w,hAPP(u,v)),c_Orderings_Otop__class_Otop(tc_bool))** c_Record_Oiso__tuple__update__accessor__cong__assist(x,u,y,z)* -> equal(hAPP(hAPP(x,w),v),v)**.
% 300.12/300.64 66645[0:SpR:508.0,3816.1] || hBOOL(c_in(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,w,x,tc_fun(y,tc_bool)),y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),z),v),w,x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.64 66632[0:SpR:508.0,3804.1] || hBOOL(c_in(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,w,x,tc_fun(y,tc_bool)),y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),v),z),w,x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.64 66728[0:Rew:508.0,66644.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x,u,tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v),x,u,tc_fun(y,tc_bool)))*.
% 300.12/300.64 67943[0:SpR:63959.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v)),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),x,u)))*.
% 300.12/300.64 67942[0:SpR:63959.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),v)),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),x,u)),v))*.
% 300.12/300.64 68041[0:SSi:67979.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))**.
% 300.12/300.64 68057[0:SpR:65071.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),v)),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),x,u)))*.
% 300.12/300.64 68056[0:SpR:65071.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),v)),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),x,u)),v))*.
% 300.12/300.64 68169[0:SSi:68079.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))**.
% 300.12/300.64 68904[0:SpR:64010.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_bool)),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),x,u)))*.
% 300.12/300.64 68903[0:SpR:64010.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_bool)),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),x,u)),v))*.
% 300.12/300.64 69024[0:SpR:65131.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_bool)),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),x,u)))*.
% 300.12/300.64 69023[0:SpR:65131.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_bool)),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),x,u)),v))*.
% 300.12/300.64 69231[0:Res:245.0,107.0] || c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),v) -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(x,v,y),u),tc_fun(y,tc_bool)),hAPP(c_Set_Oimage(x,v,y),w)),y)*.
% 300.12/300.64 70683[0:MRR:70682.4,1152.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(u),w,u))),v))*.
% 300.12/300.64 70687[0:MRR:70686.4,1152.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(u),w,u)),x)),v))*.
% 300.12/300.64 71124[0:MRR:71106.4,24891.2] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(hAPP(hAPP(c_lessequals(u),w),x))* equal(c_SetInterval_Oord__class_OatLeastAtMost(v,x,u),c_COMBK(c_False,tc_bool,u))* -> .
% 300.12/300.64 72593[0:Rew:9853.0,72540.3,62282.0,72540.3] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,v,tc_bool),c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool)).
% 300.12/300.64 73259[0:SpL:34557.1,461.0] || equal(hAPP(u,v),v) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),y,z)* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v))* equal(hAPP(hAPP(w,u),v),v)**.
% 300.12/300.64 73510[0:SpL:34558.1,461.0] || equal(hAPP(u,v),v)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),x,y)* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),z))* equal(hAPP(hAPP(w,u),z),z)**.
% 300.12/300.64 74813[0:SpR:249.0,73586.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),v_x),tc_fun(v,tc_bool)),t_a))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),v_x))).
% 300.12/300.64 75511[0:SpL:34559.1,461.0] || equal(hAPP(u,v),v) c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),y,z)* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),x)) equal(hAPP(hAPP(w,u),v),v)**.
% 300.12/300.64 76510[2:MRR:76509.3,47833.1] || hBOOL(u)* hBOOL(v) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),w),x)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(w,x,tc_bool)))*.
% 300.12/300.64 76958[2:MRR:76957.3,47833.1] || hBOOL(u)* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w)) -> equal(x,c_False) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(x,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_bool)))*.
% 300.12/300.64 76960[2:MRR:76959.3,13373.0] || hBOOL(u) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),w)) -> equal(x,c_False)* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_bool)))*.
% 300.12/300.64 77993[0:SpL:9624.0,461.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),hAPP(v,w))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),tc_fun(tc_bool,tc_bool))),w),w)**.
% 300.12/300.64 78366[0:SpL:9857.0,461.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),hAPP(v,w))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),tc_fun(tc_bool,tc_bool))),w),w)**.
% 300.12/300.64 78658[0:SpR:12596.0,131.1] || -> equal(u,c_Orderings_Otop__class_Otop(tc_bool)) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u,w,x,y),c_Orderings_Otop__class_Otop(tc_bool),v,x,y),c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u,w,x,y))**.
% 300.12/300.64 79408[2:SpL:410.0,49064.0] || equal(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(x,u),w))),c_False)** -> .
% 300.12/300.64 79485[0:SpL:249.0,78858.0] || equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),c_False) equal(c_False,w) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),tc_fun(v,tc_bool)),tc_bool),w)**.
% 300.12/300.64 80076[0:Obv:79805.1] || hBOOL(c_in(u,v,w))* equal(hAPP(c_Set_Oimage(x,w,y),v),c_False) -> equal(hAPP(c_Set_Oimage(x,w,y),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(hAPP(x,u),y),tc_bool))*.
% 300.12/300.64 80429[0:Res:8.1,79861.0] class_Ring__and__Field_Oordered__idom(u) || equal(hAPP(c_HOL_Oord__class_Oless(u),v),c_False) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_False),v))* equal(v,c_False) equal(hAPP(c_HOL_Oord__class_Oless(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80428[0:Res:4.1,79861.0] class_Orderings_Olinorder(u) || equal(hAPP(c_HOL_Oord__class_Oless(u),v),c_False) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_False),v))* equal(c_False,v) equal(hAPP(c_HOL_Oord__class_Oless(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80420[0:Res:5274.1,79861.0] class_Orderings_Oorder(u) || equal(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),c_False)** -> equal(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80419[0:Res:5143.1,79861.0] class_Orderings_Oorder(u) || equal(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),c_False)** -> equal(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,u)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80407[0:Res:41.1,79861.0] class_Lattices_Olower__semilattice(u) || equal(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_False)),c_False)** -> equal(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_False)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80406[0:Res:37.1,79861.0] class_Lattices_Olattice(u) || equal(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_False)),c_False)** -> equal(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_False)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80371[0:Res:13702.1,79861.0] || equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),c_False)** -> equal(u,c_False) equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80370[2:Res:50386.1,79861.0] || hBOOL(u) equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),c_False)** -> equal(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80479[0:Rew:80085.1,80357.2] || hBOOL(hAPP(u,c_False)) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80480[0:Rew:80085.1,80356.2] || hBOOL(hAPP(u,c_False)) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80320[0:Res:42.1,79861.0] class_Lattices_Olower__semilattice(u) || equal(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_False),v)),c_False)** -> equal(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_False),v)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80319[0:Res:36.1,79861.0] class_Lattices_Olattice(u) || equal(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_False),v)),c_False)** -> equal(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_False),v)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 80294[0:SpL:251.0,79861.0] || hBOOL(hAPP(hAPP(u,c_False),v)) equal(hAPP(c_COMBC(u,w,x,y),v),c_False)** -> equal(hAPP(c_COMBC(u,w,x,y),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 81025[0:SpL:12371.2,461.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || equal(hAPP(v,w),w) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),y,z)* -> equal(hAPP(hAPP(x,v),w),w)**.
% 300.12/300.64 81294[0:SpL:14438.2,461.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || equal(hAPP(v,w),w) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),y,z)* -> equal(hAPP(hAPP(x,v),w),w)**.
% 300.12/300.64 81778[0:SpR:772.1,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Set_Oinsert(x,y),c_Complete__Lattice_OInf__class_OInf(u)),hAPP(c_Set_Oinsert(v,u),hAPP(c_fequal(u),w)))))*.
% 300.12/300.64 81762[0:SpR:774.1,24254.0] || -> hBOOL(c_in(u,v,w)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(c_Set_Oinsert(x,y),c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(u,w),v),tc_fun(w,tc_bool))),hAPP(c_fequal(w),u))))*.
% 300.12/300.64 81754[0:SpR:773.1,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),hAPP(hAPP(c_Set_Oinsert(x,y),c_Complete__Lattice_OSup__class_OSup(u)),hAPP(c_Set_Oinsert(v,u),hAPP(c_fequal(u),w)))))*.
% 300.12/300.64 81651[0:SpR:125.1,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),w))),hAPP(hAPP(c_Set_Oinsert(x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),hAPP(c_Complete__Lattice_OInf__class_OInf(u),w))))*.
% 300.12/300.64 81650[0:SpR:276.1,24254.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),w))),hAPP(hAPP(c_Set_Oinsert(x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),hAPP(c_Complete__Lattice_OSup__class_OSup(u),w))))*.
% 300.12/300.64 81647[0:SpR:48.1,24254.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Set_Oinsert(x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))))*.
% 300.12/300.64 81646[0:SpR:47.1,24254.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Set_Oinsert(x,y),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))))*.
% 300.12/300.64 81644[0:SpR:349.1,24254.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),hAPP(hAPP(c_Set_Oinsert(x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))))*.
% 300.12/300.64 81643[0:SpR:350.1,24254.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),hAPP(hAPP(c_Set_Oinsert(x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))))*.
% 300.12/300.64 81509[0:SpR:249.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w)),hAPP(hAPP(c_Set_Oinsert(x,y),c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),tc_fun(v,tc_bool))),w)))*.
% 300.12/300.64 81469[0:SpR:410.0,24254.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(y,u),w)),x)))*.
% 300.12/300.64 82091[0:SpL:82006.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(c_False,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Set_Oinsert(x,y),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),w,tc_fun(z,tc_bool)),u))*.
% 300.12/300.64 82059[0:SpR:82006.0,265.1] || hBOOL(c_in(c_False,u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,hAPP(c_Set_Oinsert(x,y),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),v,tc_fun(w,tc_bool))))*.
% 300.12/300.64 82058[0:SpR:82006.0,435.1] || hBOOL(c_in(c_False,u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,hAPP(c_Set_Oinsert(x,y),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),v,tc_fun(w,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 82419[0:SpL:82160.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.64 82388[0:SpR:82160.0,265.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 82387[0:SpR:82160.0,435.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 300.12/300.64 82527[0:SpR:82132.0,131.1] || -> equal(u,c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v,w,x),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),c_False,w,x),c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v,w,x))**.
% 300.12/300.64 82910[2:SpL:410.0,49049.1] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x)) equal(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(y,u),w)),x),c_False)** -> .
% 300.12/300.64 83439[0:SpR:94.1,22323.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),x),w)) hBOOL(hAPP(hAPP(c_Set_Oimage(y,w,z),hAPP(c_Set_Oinsert(v,w),x)),hAPP(c_Fun_Ofun__upd(y,u,x1,w,z),v)))*.
% 300.12/300.64 83353[0:SpR:772.1,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,w),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(x,u),hAPP(c_fequal(u),y)),v),z)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),y)))*.
% 300.12/300.64 83337[0:SpR:774.1,22323.0] || -> hBOOL(c_in(u,v,w)) hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(u,w),v),tc_fun(w,tc_bool)),x,y),hAPP(c_Set_Oinsert(hAPP(c_fequal(w),u),x),z)),v))*.
% 300.12/300.64 83329[0:SpR:773.1,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,w),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(x,u),hAPP(c_fequal(u),y)),v),z)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),y)))*.
% 300.12/300.64 83226[0:SpR:125.1,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(hAPP(c_Complete__Lattice_OInf__class_OInf(u),y),w),z)),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),y))))*.
% 300.12/300.64 83225[0:SpR:276.1,22323.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(hAPP(c_Complete__Lattice_OSup__class_OSup(u),y),w),z)),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),y))))*.
% 300.12/300.64 83222[0:SpR:48.1,22323.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y),w),z)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y)))*.
% 300.12/300.64 83221[0:SpR:47.1,22323.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y),w),z)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y)))*.
% 300.12/300.64 83219[0:SpR:349.1,22323.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y),w),z)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y)))*.
% 300.12/300.64 83218[0:SpR:350.1,22323.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y),w),z)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y)))*.
% 300.12/300.64 83084[0:SpR:249.0,22323.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),tc_fun(v,tc_bool)),x,y),hAPP(c_Set_Oinsert(w,x),z)),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w)))*.
% 300.12/300.64 86649[0:SpL:86619.1,461.0] || hBOOL(u) equal(hAPP(v,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,y)* -> equal(hAPP(hAPP(w,v),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u))**.
% 300.12/300.64 86638[0:SpR:86619.1,405.0] || hBOOL(u) -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),x)),hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),x)))*.
% 300.12/300.64 86737[0:SpR:803.2,27005.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_COMBK(c_False,tc_bool,u))**.
% 300.12/300.64 86736[0:SpR:802.2,27005.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_COMBK(c_False,tc_bool,u))**.
% 300.12/300.64 87320[0:Res:425.2,86811.0] class_Orderings_Oorder(u) || hBOOL(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),x),y)) hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(x,y,u))))*.
% 300.12/300.64 87078[0:SpL:46.0,86811.0] || hBOOL(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oimage(x,y,v),z)))* hBOOL(z) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oimage(c_COMBB(u,x,v,w,y),y,w)))*.
% 300.12/300.64 87074[0:SpL:46.0,86811.0] || hBOOL(hAPP(c_Set_Oimage(c_COMBB(u,v,w,x,y),y,x),z))* hBOOL(hAPP(c_Set_Oimage(v,y,w),z)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oimage(u,w,x))).
% 300.12/300.64 87073[0:SpL:405.0,86811.0] || hBOOL(hAPP(c_Set_Oinsert(hAPP(u,v),w),hAPP(c_Set_Oimage(u,x,w),y)))* hBOOL(hAPP(c_Set_Oinsert(v,x),y)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oimage(u,x,w))).
% 300.12/300.64 87046[0:SpL:759.0,86811.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w))* hBOOL(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w)))*.
% 300.12/300.64 86893[0:SpL:94.1,86811.0] || hBOOL(hAPP(c_Set_Oimage(u,v,w),x))* hBOOL(x) -> hBOOL(c_in(y,x,v))* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oimage(c_Fun_Ofun__upd(u,y,z,v,w),v,w)))*.
% 300.12/300.64 88257[0:SpL:266.1,20531.0] || hBOOL(c_in(u,hAPP(c_fequal(v),w),v))* c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(v,tc_bool)),hAPP(c_fequal(v),w)),v)* -> c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),x),v)*.
% 300.12/300.64 88602[0:SpL:22632.0,113.0] || equal(hAPP(c_Set_Oimage(u,v,w),x),hAPP(c_fequal(w),hAPP(u,y)))* c_Fun_Oinj__on(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),v,w)* -> equal(x,hAPP(c_fequal(v),y))*.
% 300.12/300.64 88597[0:SpL:22632.0,461.0] || equal(hAPP(c_fequal(u),hAPP(v,w)),hAPP(c_fequal(x),w)) c_Record_Oiso__tuple__update__accessor__cong__assist(y,c_fequal(x),z,x1)* -> equal(hAPP(hAPP(y,c_Set_Oimage(v,x,u)),w),w)**.
% 300.12/300.64 88630[0:MRR:88629.1,88629.2,1061.0,70064.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),hAPP(v,w))),hAPP(c_fequal(u),w)))* -> equal(hAPP(c_fequal(u),hAPP(v,w)),hAPP(c_fequal(u),w)).
% 300.12/300.64 88865[0:SpR:770.0,22324.0] || -> hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),x,y),hAPP(c_Set_Oinsert(hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),hAPP(c_fequal(v),u)),x),z)),y))*.
% 300.12/300.64 88749[0:SpR:771.1,22324.0] || -> equal(u,c_COMBK(c_False,tc_bool,v)) hBOOL(c_in(hAPP(c_fequal(w),x),hAPP(c_Set_Oimage(c_Set_Oimage(c_COMBK(x,w,v),v,w),y,z),hAPP(c_Set_Oinsert(u,y),x1)),z))*.
% 300.12/300.64 89172[0:SpL:87864.1,461.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_lessequals(u),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 300.12/300.64 89124[0:SpR:87864.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)))*.
% 300.12/300.64 89123[0:SpR:87864.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 89541[0:Res:15156.0,444.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),tc_fun(u,tc_bool))))* -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),tc_fun(u,tc_bool)),v).
% 300.12/300.64 89984[0:SpL:336.0,18905.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),tc_fun(u,tc_bool)),x)),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool)),x)))* -> .
% 300.12/300.64 89949[0:SpL:508.0,18905.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x),y,v,tc_fun(u,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,y,v,tc_fun(u,tc_bool))))* -> .
% 300.12/300.64 90124[0:SpL:336.0,19117.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),tc_fun(u,tc_bool)),x)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),x)))* -> .
% 300.12/300.64 90089[0:SpL:508.0,19117.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x),y,v,tc_fun(u,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,y,v,tc_fun(u,tc_bool))))* -> .
% 300.12/300.64 90527[0:SpL:5566.0,352.0] || hBOOL(u) hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),w,tc_fun(y,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),u),z)))*.
% 300.12/300.64 90744[0:Obv:90708.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,c_Fun_Ocomp(y,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(z,tc_bool)),hAPP(v,x1)),w,w,w)),x1),hAPP(hAPP(u,y),x1))**.
% 300.12/300.64 90798[0:SpL:90717.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.64 90768[0:SpR:90717.0,265.1] || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.64 90767[0:SpR:90717.0,435.1] || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 90979[0:SpL:5568.0,352.0] || hBOOL(u) hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),w,tc_fun(y,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),z),u)))*.
% 300.12/300.64 91281[0:SpL:8036.0,352.0] || hBOOL(u) hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),w,tc_fun(y,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),z),u)))*.
% 300.12/300.64 91595[0:SpL:8037.0,352.0] || hBOOL(u) hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),w,tc_fun(y,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),u),z)))*.
% 300.12/300.64 92224[0:SpL:410.0,84466.0] || hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),hAPP(c_Set_Oinsert(v,tc_bool),w))))* -> hBOOL(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),w))).
% 300.12/300.64 92275[0:SpR:410.0,84656.1] || hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),v))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),u),hAPP(c_Set_Oinsert(w,tc_bool),v))))*.
% 300.12/300.64 92396[0:SpR:249.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),v_x),tc_bool),hAPP(hAPP(c_Set_Oinsert(w,t_a),c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),v_x),tc_fun(v,tc_bool))),v_x)),c_False)**.
% 300.12/300.64 92360[0:SpR:410.0,86793.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),u),v),v_x),tc_bool),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),u),hAPP(c_Set_Oinsert(w,t_a),v)),v_x)),c_False)**.
% 300.12/300.64 92688[0:SpR:613.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(u,v),tc_fun(w,tc_bool)),x),hAPP(c_Set_Oinsert(y,v),z))),hAPP(c_Set_Oinsert(y,v),hAPP(c_Set_Oinsert(u,v),z))))*.
% 300.12/300.64 93177[0:SpL:54506.0,352.0] || hBOOL(u) hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),y,tc_fun(z,tc_bool)),u))*.
% 300.12/300.64 93145[0:SpR:759.0,54506.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w))**.
% 300.12/300.64 93354[0:SpR:405.0,93108.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(c_Set_Oimage(v,w,u),hAPP(c_Set_Oinsert(x,w),y))),hAPP(c_Set_Oimage(v,w,u),y)),hAPP(c_Set_Oimage(v,w,u),y))**.
% 300.12/300.64 93252[0:SpR:93108.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),hAPP(c_Set_Oinsert(z,y),v)),x,u)))*.
% 300.12/300.64 93251[0:SpR:93108.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),hAPP(c_Set_Oinsert(z,y),v)),x,u)),v))*.
% 300.12/300.64 93710[0:SpL:55320.0,352.0] || hBOOL(u) hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),y,tc_fun(z,tc_bool)),u))*.
% 300.12/300.64 94583[0:Res:265.1,16791.1] || hBOOL(c_in(u,v,w))* equal(hAPP(x,u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,x,w,tc_fun(y,tc_bool)))* -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,x,w,tc_fun(y,tc_bool)),hAPP(x,u)).
% 300.12/300.64 94582[0:Res:435.1,16791.1] || hBOOL(c_in(u,v,w))* equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,x,w,tc_fun(y,tc_bool)),hAPP(x,u))* -> equal(hAPP(x,u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,x,w,tc_fun(y,tc_bool))).
% 300.12/300.64 94580[0:Res:425.2,16791.1] class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_SetInterval_Oord__class_OatLeastAtMost(x,y,u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* equal(c_SetInterval_Oord__class_OatLeastAtMost(x,y,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)).
% 300.12/300.64 94798[0:Res:17248.0,444.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),hAPP(c_Set_Oinsert(w,u),x))),x))* -> equal(hAPP(c_Set_Oinsert(v,u),hAPP(c_Set_Oinsert(w,u),x)),x).
% 300.12/300.64 96018[0:SpR:109.0,21881.1] || hBOOL(c_in(u,hAPP(c_Set_Oimage(v,w,x),y),x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,c_COMBB(c_fequal(z),v,x,tc_fun(x1,tc_bool),w),w,tc_fun(x1,tc_bool)),u))*.
% 300.12/300.64 96039[0:Res:87828.1,79861.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u)),c_False)** -> equal(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 96146[0:Res:87846.1,79861.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),c_False)** -> equal(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 96547[0:Res:96435.1,79861.0] || hBOOL(u) equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),c_False)** -> equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 96712[0:Res:96436.1,79861.0] || hBOOL(u) equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),c_False)** -> equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.64 96925[0:SSi:96896.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),tc_fun(u,tc_bool)),tc_fun(u,tc_bool)),v)),w))*.
% 300.12/300.64 97085[0:SSi:97057.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),tc_fun(u,tc_bool)),tc_fun(u,tc_bool)),v)),w))*.
% 300.12/300.64 97140[0:SpL:410.0,94804.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Set_Oinsert(x,v),y))),v)* -> c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),y),v).
% 300.12/300.64 98397[0:SpL:803.2,98370.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)) -> hBOOL(c_in(w,c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),u))*.
% 300.12/300.64 98396[0:SpL:802.2,98370.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)) -> hBOOL(c_in(v,c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),u))*.
% 300.12/300.64 98517[0:SpR:802.2,12203.2] class_Orderings_Olinorder(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(u),v,u)),c_Orderings_Otop__class_Otop(u))**.
% 300.12/300.64 98475[0:SpR:12203.2,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OSup__class_OSup(u)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),u),x))))*.
% 300.12/300.64 98474[0:SpR:12203.2,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OSup__class_OSup(u)),w),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),u),x))))*.
% 300.12/300.64 98464[0:SpR:12203.2,361.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),u),v),w,x))* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(u),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),x,y),w),y))*.
% 300.12/300.64 98815[0:SpR:803.2,12493.2] class_Orderings_Olinorder(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Obot__class_Obot(u))) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),c_SetInterval_Oord__class_OatLeastAtMost(v,c_Orderings_Obot__class_Obot(u),u)),c_Orderings_Obot__class_Obot(u))**.
% 300.12/300.64 98774[0:SpR:12493.2,24260.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Complete__Lattice_OInf__class_OInf(u)),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),u),x))))*.
% 300.12/300.64 98773[0:SpR:12493.2,24259.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Complete__Lattice_OInf__class_OInf(u)),w),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),u),x))))*.
% 300.12/300.64 98763[0:SpR:12493.2,361.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),u),v),w,x))* -> hBOOL(c_in(c_Orderings_Obot__class_Obot(u),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),x,y),w),y))*.
% 300.12/300.64 99064[0:Res:13047.2,59.1] class_Orderings_Obot(u) class_Orderings_Olinorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> equal(c_Orderings_Obot__class_Obot(u),v) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),w))*.
% 300.12/300.64 99471[0:Res:13059.2,59.1] class_Orderings_Otop(u) class_Orderings_Olinorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> equal(w,c_Orderings_Otop__class_Otop(u)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v))*.
% 300.12/300.64 99623[0:Res:13297.2,59.1] class_Orderings_Obot(u) class_Orderings_Oorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> equal(v,c_Orderings_Obot__class_Obot(u)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Orderings_Obot__class_Obot(u)),w))*.
% 300.12/300.64 99762[0:Res:13309.2,59.1] class_Orderings_Otop(u) class_Orderings_Oorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(u)),v))* -> equal(c_Orderings_Otop__class_Otop(u),w) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v))*.
% 300.12/300.64 99977[0:Res:15143.2,77.1] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u)),w))* equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u),w).
% 300.12/300.64 99976[0:Res:15143.2,69.1] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u)),w))* equal(w,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u)).
% 300.12/300.64 99973[0:Res:15143.2,58.1] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),u)),w))*.
% 300.12/300.64 99971[0:Res:15143.2,52.1] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),u)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))*.
% 300.12/300.64 99970[0:Res:15143.2,484.1] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x))*.
% 300.12/300.64 100142[0:Res:15144.2,77.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u)),w))* equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u),w).
% 300.12/300.64 100141[0:Res:15144.2,69.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u)),w))* equal(w,c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),u)).
% 300.12/300.64 100138[0:Res:15144.2,58.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),u)),w))*.
% 300.12/300.64 100136[0:Res:15144.2,52.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),u)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))*.
% 300.12/300.64 100135[0:Res:15144.2,484.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x))*.
% 300.12/300.64 100337[0:Res:87811.2,364.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(tc_fun(v,w)) class_HOL_Oord(w) || -> hBOOL(hAPP(hAPP(c_lessequals(w),hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),tc_fun(v,w)),y)),hAPP(x,y)))*.
% 300.12/300.64 100327[0:Res:87811.2,77.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Olinorder(v) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),w))* equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),w).
% 300.12/300.64 100326[0:Res:87811.2,69.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),w))* equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),w).
% 300.12/300.64 100323[0:Res:87811.2,58.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Opreorder(v) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),w),x)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),x))*.
% 300.12/300.64 100322[0:Res:87811.2,485.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Opreorder(v) || hBOOL(hAPP(hAPP(c_lessequals(v),w),x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),x))*.
% 300.12/300.64 100321[0:Res:87811.2,52.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),w),x)).
% 300.12/300.64 100320[0:Res:87811.2,484.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)))* -> hBOOL(hAPP(hAPP(c_lessequals(v),w),x)).
% 300.12/300.64 100365[0:SSi:100314.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),tc_fun(v,tc_bool))),w))* equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),tc_fun(v,tc_bool)),w).
% 300.12/300.64 100366[0:SSi:100312.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,tc_bool)),w),x)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),tc_fun(v,tc_bool))),x))*.
% 300.12/300.64 100367[0:SSi:100311.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(v,tc_bool)),w),x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(v,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),tc_fun(v,tc_bool))),x))*.
% 300.12/300.64 100621[0:Res:87814.2,364.1] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(tc_fun(v,w)) class_HOL_Oord(w) || -> hBOOL(hAPP(hAPP(c_lessequals(w),hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),tc_fun(v,w)),y)),hAPP(x,y)))*.
% 300.12/300.64 100611[0:Res:87814.2,77.1] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Olinorder(v) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),w))* equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),w).
% 300.12/300.64 100610[0:Res:87814.2,69.1] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),w))* equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),w).
% 300.12/300.64 100607[0:Res:87814.2,58.1] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Opreorder(v) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),w),x)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),x))*.
% 300.12/300.64 100606[0:Res:87814.2,485.1] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Opreorder(v) || hBOOL(hAPP(hAPP(c_lessequals(v),w),x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),x))*.
% 300.12/300.64 100605[0:Res:87814.2,52.1] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),v)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),w),x)).
% 300.12/300.64 100604[0:Res:87814.2,484.1] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),v)))* -> hBOOL(hAPP(hAPP(c_lessequals(v),w),x)).
% 300.12/300.64 100649[0:SSi:100598.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),tc_fun(v,tc_bool))),w))* equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),tc_fun(v,tc_bool)),w).
% 300.12/300.64 100650[0:SSi:100596.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,tc_bool)),w),x)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),tc_fun(v,tc_bool))),x))*.
% 300.12/300.64 100651[0:SSi:100595.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(v,tc_bool)),w),x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(v,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),tc_fun(v,tc_bool))),x))*.
% 300.12/300.64 100804[0:SpR:100666.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 300.12/300.64 100803[0:SpR:100666.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.64 101394[0:SpR:101313.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,u)))*.
% 300.12/300.64 101393[0:SpR:101313.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,u)),c_False))*.
% 300.12/300.64 101948[0:Res:1.2,101661.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_fequal(t_a),v_x),v_x))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))))*.
% 300.12/300.64 101947[0:Res:2.2,101661.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_fequal(t_a),v_x),v_x))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v))))*.
% 300.12/300.64 101916[0:Res:171.2,101661.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_fequal(t_a),v_x),v_x))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))))*.
% 300.12/300.64 101915[0:Res:172.2,101661.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_fequal(t_a),v_x),v_x))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v))))*.
% 300.12/300.64 102151[0:SpR:803.2,101838.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_fequal(t_a),v_x),v_x))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(hAPP(c_fequal(t_a),v_x),v_x),u)))*.
% 300.12/300.64 102150[0:SpR:802.2,101838.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_fequal(t_a),v_x),v_x),v,u)))*.
% 300.12/300.64 102566[0:SpL:405.0,13885.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),y)),z)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x1,tc_bool)),c_Set_Oinsert(hAPP(u,x),w),x1,tc_fun(z,tc_bool)),z)*.
% 300.12/300.64 102561[0:SpL:410.0,13885.0] || c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)),y)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool)),c_Set_Oinsert(w,u),z,tc_fun(y,tc_bool)),y)*.
% 300.12/300.64 102489[0:SpL:774.1,13885.0] || c_Finite__Set_Ofinite(u,v) -> hBOOL(c_in(w,u,x)) c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(w,x),u),tc_fun(x,tc_bool)),y,tc_fun(v,tc_bool)),v)*.
% 300.12/300.64 102403[0:SpL:46.0,13885.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(c_COMBB(u,v,w,x,y),y,x),z),x1)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x2,tc_bool)),c_Set_Oimage(u,w,x),x2,tc_fun(x1,tc_bool)),x1)*.
% 300.12/300.64 102368[0:SpL:125.1,13885.0] class_Complete__Lattice_Ocomplete__lattice(u) || c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),w)),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y,tc_fun(x,tc_bool)),x)*.
% 300.12/300.64 102367[0:SpL:276.1,13885.0] class_Complete__Lattice_Ocomplete__lattice(u) || c_Finite__Set_Ofinite(hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),w)),x)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y,tc_fun(x,tc_bool)),x)*.
% 300.12/300.64 102654[0:SpR:771.1,26903.1] || hBOOL(c_in(v_x,c_Set_Oimage(c_COMBK(u,v,w),w,v),t_a))* -> equal(c_COMBK(c_False,tc_bool,w),v_x) hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(c_fequal(v),u))))*.
% 300.12/300.64 102814[0:Res:264.2,24826.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(y,v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,y,x,u),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,y,x,u)))*.
% 300.12/300.64 102983[0:Res:434.2,25011.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,y,x,u),hAPP(y,v),u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,y,x,u)))*.
% 300.12/300.64 103527[0:Res:87848.1,364.1] class_Complete__Lattice_Ocomplete__lattice(tc_fun(u,v)) class_HOL_Oord(v) || -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(w,x),tc_fun(u,v)),y)),hAPP(hAPP(c_Set_Oinsert(w,x),z),y)))*.
% 300.12/300.64 103513[0:Res:87848.1,58.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(c_Set_Oinsert(v,w),x)),y))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),u)),y))*.
% 300.12/300.64 103512[0:Res:87848.1,485.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_Set_Oinsert(v,w),x)),y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),u)),y))*.
% 300.12/300.64 103511[0:Res:87848.1,52.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(w,x),u)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(c_Set_Oinsert(w,x),y)))*.
% 300.12/300.64 103510[0:Res:87848.1,484.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(w,x),u)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(c_Set_Oinsert(w,x),y)))*.
% 300.12/300.64 103543[0:SSi:103500.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,w),x)),y))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),tc_fun(u,tc_bool))),y))*.
% 300.12/300.64 103544[0:SSi:103499.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,w),x)),y))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,w),tc_fun(u,tc_bool))),y))*.
% 300.12/300.64 104556[0:SpR:510.2,104116.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_fequal(u),w)))* hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_fequal(u),w)),x))* -> c_Finite__Set_Ofinite(v,u).
% 300.12/300.64 104622[0:Res:323.2,21899.0] || hBOOL(c_in(u,v,w))* -> hBOOL(c_in(u,x,w))* hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x),c_Set_Oinsert(y,z),w,tc_fun(x1,tc_bool)),y))*.
% 300.12/300.64 105252[0:SpR:10929.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(u),v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),c_Set_Oimage(c_COMBK(v,u,y),y,u)),hAPP(c_Set_Oinsert(z,y),x1))))*.
% 300.12/300.64 105251[0:SpR:10929.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(u),v)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_Set_Oimage(c_COMBK(v,u,x),x,u)),y),hAPP(c_Set_Oinsert(z,x),x1))))*.
% 300.12/300.64 105237[0:SpR:10929.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y))* -> hBOOL(c_in(hAPP(c_fequal(z),x1),hAPP(c_Set_Oimage(c_Set_Oimage(c_COMBK(x1,z,v),v,z),y,x2),x),x2))*.
% 300.12/300.64 106046[0:SpL:771.1,73923.1] || hBOOL(c_in(v_x,c_Set_Oimage(c_COMBK(u,v,w),w,v),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_fequal(v),u)),c_False)) -> equal(c_COMBK(c_False,tc_bool,w),v_x).
% 300.12/300.64 106186[0:SpR:795.0,8789.0] || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(x,v),w)),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))**.
% 300.12/300.64 106184[0:SpR:266.1,8789.0] || hBOOL(c_in(u,v,w)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Set_Oinsert(u,w),x),hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(w,tc_bool)),v),tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(w,tc_bool)))**.
% 300.12/300.64 106440[0:SpR:795.0,8944.0] || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(x,v),w)),tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(v,tc_bool)))**.
% 300.12/300.64 106438[0:SpR:266.1,8944.0] || hBOOL(c_in(u,v,w)) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(c_Set_Oinsert(u,w),x),hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(w,tc_bool)),v),tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(w,tc_bool)))**.
% 300.12/300.64 106792[0:SpL:5228.0,15708.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool),tc_bool)),v),c_SetInterval_Oord__class_OatLeastAtMost(w,x,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool))))* -> c_Hoare__Mirabelle_Ohoare__derivs(x,w,u) c_Finite__Set_Ofinite(v,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)).
% 300.12/300.64 106731[0:SpR:5228.0,5267.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool)))**.
% 300.12/300.64 106730[0:SpR:5228.0,5137.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(c_SetInterval_Oord__class_OatLeastLessThan(x,c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool)))**.
% 300.12/300.64 106718[0:SpR:5228.0,1119.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool)),x),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool))),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))**.
% 300.12/300.64 106717[0:SpR:5228.0,1091.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool))),x),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))**.
% 300.12/300.64 106851[0:SSi:106752.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(x,c_COMBK(c_False,tc_bool,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool))) equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool),c_False)**.
% 300.12/300.64 106852[0:SSi:106751.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(x,c_COMBK(c_False,tc_bool,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool))) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool),c_False)**.
% 300.12/300.64 108024[0:Obv:107964.0] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w))))* -> .
% 300.12/300.64 108170[0:Obv:108123.0] class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w))))* -> .
% 300.12/300.64 108515[0:Obv:108469.0] class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w))))* -> .
% 300.12/300.64 108854[0:Obv:108769.0] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x))))* -> .
% 300.12/300.64 109073[0:Obv:108990.0] class_Lattices_Olower__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x))))* -> .
% 300.12/300.64 109236[0:Obv:109154.0] class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x))))* -> .
% 300.12/300.64 109478[0:Obv:109423.0] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x)))* -> .
% 300.12/300.64 109728[0:Obv:109672.0] class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x)))* -> .
% 300.12/300.64 109850[0:SpL:106741.1,461.0] || equal(hAPP(u,v),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,u,x,y)* -> c_Hoare__Mirabelle_Ohoare__derivs(z,x1,x2) equal(hAPP(hAPP(w,c_SetInterval_Oord__class_OatLeastAtMost(x1,z,tc_fun(tc_Hoare__Mirabelle_Otriple(x2),tc_bool))),v),v)**.
% 300.12/300.64 109825[0:SpL:106741.1,461.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_SetInterval_Oord__class_OatLeastAtMost(w,x,tc_fun(tc_Hoare__Mirabelle_Otriple(y),tc_bool)),z,x1)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,w,y) equal(hAPP(hAPP(v,u),x2),x2)**.
% 300.12/300.64 109978[0:Res:8.1,18887.2] class_Ring__and__Field_Oordered__idom(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),v).
% 300.12/300.64 110002[0:Obv:109950.0] class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x)))* -> .
% 300.12/300.64 110200[0:SSi:110124.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(u,tc_bool),tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),v,w),c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)))**.
% 300.12/300.64 110201[0:SSi:110123.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_False) -> equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool),v,w),c_Complete__Lattice_OInf__class_OInf(tc_fun(u,tc_bool)))**.
% 300.12/300.64 110340[0:Obv:110224.0] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)))* -> .
% 300.12/300.64 110521[0:Obv:110404.0] class_Lattices_Oupper__semilattice(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)))* -> .
% 300.12/300.64 110668[0:Res:8.1,19101.2] class_Ring__and__Field_Oordered__idom(u) class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),v).
% 300.12/300.64 110694[0:Obv:110581.0] class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)))* -> .
% 300.12/300.64 110897[0:SpR:803.2,42995.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(u),w),tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_COMBK(c_False,tc_bool,u))**.
% 300.12/300.64 110896[0:SpR:802.2,42995.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(u),v),tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_COMBK(c_False,tc_bool,u))**.
% 300.12/300.64 110868[0:SpR:42995.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(u),v),tc_fun(u,tc_bool)),tc_fun(w,tc_bool)),x),hAPP(c_Set_Oinsert(v,u),y))),c_COMBK(c_False,tc_bool,u)))*.
% 300.12/300.64 110858[0:SpR:42995.0,35.0] || -> equal(c_Fun_Ofun__upd(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(u),v),tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w),c_COMBK(c_False,tc_bool,u),x,y),c_HOL_Ominus__class_Ominus(hAPP(c_fequal(u),v),tc_fun(u,tc_bool)))**.
% 300.12/300.64 110849[0:SpR:42995.0,4377.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(v),u),tc_fun(v,tc_bool)),y,z),x),c_COMBK(c_False,tc_bool,v)))*.
% 300.12/300.64 111113[0:Res:222.3,84874.0] class_Orderings_Olinorder(tc_fun(tc_bool,tc_bool)) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(c_False,c_False,tc_bool),u,tc_fun(tc_bool,tc_bool)))* c_Finite__Set_Ofinite(u,tc_fun(tc_bool,tc_bool)) -> c_Finite__Set_Ofinite(c_Finite__Set_Olinorder__class_OMin(u,tc_fun(tc_bool,tc_bool)),tc_bool).
% 300.12/300.64 111212[0:Res:8.1,80847.0] class_Ring__and__Field_Oordered__idom(tc_fun(u,tc_bool)) || hBOOL(c_in(v,w,u)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),w))* equal(w,hAPP(c_fequal(u),v)).
% 300.12/300.64 111211[0:Res:4.1,80847.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || hBOOL(c_in(v,w,u)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),hAPP(c_fequal(u),v)),w))* equal(hAPP(c_fequal(u),v),w).
% 300.12/300.64 111420[0:Res:87803.2,352.0] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_lessequals(v),y,tc_fun(z,tc_bool)),c_Orderings_Obot__class_Obot(u)))*.
% 300.12/300.64 111648[0:Res:87806.2,352.0] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_lessequals(v),y,tc_fun(z,tc_bool)),c_Orderings_Otop__class_Otop(u)))*.
% 300.12/300.64 111882[0:Res:87817.2,352.0] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(v),x,tc_fun(y,tc_bool)),z))*.
% 300.12/300.64 111879[0:Res:87817.2,166.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Lattices_Olower__semilattice(v) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v))**.
% 300.12/300.64 111878[0:Res:87817.2,164.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Lattices_Olower__semilattice(v) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v)),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v))**.
% 300.12/300.64 112136[0:Res:87818.2,352.0] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_lessequals(v),x,tc_fun(y,tc_bool)),z))*.
% 300.12/300.64 112133[0:Res:87818.2,166.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Lattices_Olower__semilattice(v) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v))**.
% 300.12/300.64 112132[0:Res:87818.2,164.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Lattices_Olower__semilattice(v) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v)),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v))**.
% 300.12/300.64 112346[0:Res:1393.1,331.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),v,z),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.64 112342[0:Res:1393.1,106.0] class_Lattices_Oupper__semilattice(u) || c_Finite__Set_Ofinite(hAPP(v,w),x) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),v,z,tc_fun(x,tc_bool)),x)*.
% 300.12/300.64 112367[0:Res:1394.1,331.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v,z),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.64 112363[0:Res:1394.1,106.0] class_Lattices_Olower__semilattice(u) || c_Finite__Set_Ofinite(hAPP(v,w),x) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),v,z,tc_fun(x,tc_bool)),x)*.
% 300.12/300.64 112419[0:SpL:771.1,99791.1] || hBOOL(c_in(v_x,c_Set_Oimage(c_COMBK(u,v,w),w,v),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(c_fequal(v),u))) -> equal(c_COMBK(c_False,tc_bool,w),v_x).
% 300.12/300.64 112530[0:Res:1404.1,331.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v,z),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.64 112526[0:Res:1404.1,106.0] class_Lattices_Obounded__lattice(u) || c_Finite__Set_Ofinite(hAPP(v,w),x) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),v,z,tc_fun(x,tc_bool)),x)*.
% 300.12/300.64 112571[0:Res:1412.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(c_in(c_COMBK(c_False,tc_bool,x),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(c_Set_Oimage(y,z,x),u,x1),w,tc_fun(x1,tc_bool)),x1))*.
% 300.12/300.64 112567[0:Res:1412.0,106.0] || c_Finite__Set_Ofinite(hAPP(u,c_COMBK(c_False,tc_bool,v)),w) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(c_Set_Oimage(x,y,v),z,x1),c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool))),u,x1,tc_fun(w,tc_bool)),w)*.
% 300.12/300.64 112559[0:SpR:5228.0,1412.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),hAPP(c_Set_Oimage(c_Set_Oimage(x,y,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),z,x1),c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool))),x1))*.
% 300.12/300.64 112624[0:Res:1415.1,331.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),v,z),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.64 112620[0:Res:1415.1,106.0] class_Lattices_Obounded__lattice(u) || c_Finite__Set_Ofinite(hAPP(v,w),x) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),v,z,tc_fun(x,tc_bool)),x)*.
% 300.12/300.64 112730[0:Res:1784.1,331.1] class_Lattices_Olattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),v,z),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.64 112726[0:Res:1784.1,106.0] class_Lattices_Olattice(u) || c_Finite__Set_Ofinite(hAPP(v,w),x) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),v,z,tc_fun(x,tc_bool)),x)*.
% 300.12/300.64 112882[0:Res:1887.1,331.1] class_Lattices_Olattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v,z),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.64 112878[0:Res:1887.1,106.0] class_Lattices_Olattice(u) || c_Finite__Set_Ofinite(hAPP(v,w),x) -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),y,z),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),v,z,tc_fun(x,tc_bool)),x)*.
% 300.12/300.64 113049[0:SpR:5393.2,24257.0] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_fun(w,tc_bool)),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y))),v))*.
% 300.12/300.64 113033[0:SpR:5393.2,4377.1] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x,y))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y,z),x),v))*.
% 300.12/300.64 113324[0:Obv:113139.1] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v))**.
% 300.12/300.64 113326[0:Obv:113086.1] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x))**.
% 300.12/300.64 113605[0:Obv:113604.2] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,v,w))* c_Fun_Oinj__on(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool)),v,w,z)* -> equal(u,x)*.
% 300.12/300.64 113747[0:SpR:5396.2,24257.0] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),tc_fun(w,tc_bool)),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v))),v))*.
% 300.12/300.64 113731[0:SpR:5396.2,4377.1] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x,y))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y,z),x),w))*.
% 300.12/300.64 114026[0:Obv:113837.1] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v))**.
% 300.12/300.64 114028[0:Obv:113784.1] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x))**.
% 300.12/300.64 114218[0:SpR:5562.2,24257.0] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_fun(w,tc_bool)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y))),v))*.
% 300.12/300.64 114202[0:SpR:5562.2,4377.1] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),x,y))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y,z),x),v))*.
% 300.12/300.64 114488[0:Obv:114274.1] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v))**.
% 300.12/300.64 114490[0:Obv:114232.1] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x))**.
% 300.12/300.64 114679[0:SpR:5564.2,24257.0] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),tc_fun(w,tc_bool)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),v))),v))*.
% 300.12/300.64 114663[0:SpR:5564.2,4377.1] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),x,y))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),y,z),x),w))*.
% 300.12/300.64 114956[0:Obv:114735.1] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),v))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v))**.
% 300.12/300.64 114958[0:Obv:114693.1] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x))**.
% 300.12/300.64 115738[0:Obv:115737.2] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,v,w))* c_Fun_Oinj__on(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool)),v,w,z)* -> equal(u,x)*.
% 300.12/300.64 4024[0:Res:29.2,1141.0] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(w,x),hAPP(c_lessequals(u),v)))))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_lessequals(u),v)),c_False)).
% 300.12/300.64 4023[0:Res:28.2,1141.0] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(w,x),hAPP(c_lessequals(u),v)))))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_lessequals(u),v)),c_False)).
% 300.12/300.64 4006[0:SpL:149.0,1141.0] || hBOOL(hAPP(u,hAPP(v,c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(w,x),c_COMBB(u,v,y,z,x1))))))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(w,x),c_COMBB(u,v,y,z,x1)),c_False)).
% 300.12/300.64 4005[0:SpL:424.0,1141.0] || hBOOL(hAPP(u,hAPP(v,c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(w,x),c_Fun_Ocomp(u,v,y,z,x1))))))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(w,x),c_Fun_Ocomp(u,v,y,z,x1)),c_False)).
% 300.12/300.64 3994[0:SpL:3059.1,1141.0] || equal(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(u,v),c_Set_Oinsert(w,x))),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))) hBOOL(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),c_Set_Oinsert(w,x)),c_False))*.
% 300.12/300.64 4033[0:Rew:1581.0,3992.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_fequal(u),v),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(w,x),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)))))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(w,x),c_SetInterval_Oord__class_OatLeastAtMost(v,v,u)),c_False)).
% 300.12/300.64 3990[0:SpL:2578.1,1141.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(w,x),hAPP(c_fequal(u),v)))))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_fequal(u),v)),c_False)).
% 300.12/300.64 6200[0:SpL:613.0,1141.0] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),w),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(x,v),w)))))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(x,v),hAPP(c_Set_Oinsert(u,v),w)),c_False)).
% 300.12/300.64 6146[0:SpR:613.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y)) -> hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(z,v),w)),hAPP(c_Set_Oimage(c_Set_Oinsert(z,v),y,x1),x),x1))*.
% 300.12/300.64 6318[0:SpL:5360.2,1141.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))))) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),c_False))*.
% 300.12/300.64 6456[0:SpL:5538.2,1141.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))))) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),c_False))*.
% 300.12/300.64 6655[0:SpL:5792.2,1141.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))))) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),c_False))*.
% 300.12/300.64 6780[0:SpL:5860.2,1141.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))))) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),c_False))*.
% 300.12/300.64 9548[0:SpR:770.0,4377.1] || hBOOL(c_in(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_fequal(v),w)),x,y)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(w,v),y,z),x),hAPP(c_Set_Oinsert(w,v),u)))*.
% 300.12/300.64 10796[0:SpR:771.1,4377.1] || hBOOL(c_in(u,v,w))* -> equal(u,c_COMBK(c_False,tc_bool,x))* hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(c_COMBK(y,z,x),x,z),w,x1),v),hAPP(c_fequal(z),y)))*.
% 300.12/300.64 12706[0:Obv:12686.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),hAPP(c_Set_Oinsert(w,u),hAPP(c_fequal(u),x)))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)))**.
% 300.12/300.64 12826[0:Obv:12805.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),hAPP(c_Set_Oinsert(w,u),hAPP(c_fequal(u),x)))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))**.
% 300.12/300.64 13658[0:SpR:3333.0,774.1] || -> hBOOL(c_in(u,hAPP(c_fequal(v),w),v)) equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(w,v),hAPP(c_fequal(v),u)),tc_fun(v,tc_bool)),hAPP(c_fequal(v),u)),hAPP(c_fequal(v),w))**.
% 300.12/300.64 13897[0:Res:740.2,106.0] class_Orderings_Olinorder(u) || c_Finite__Set_Ofinite(v,u) c_Finite__Set_Ofinite(hAPP(w,c_Finite__Set_Olinorder__class_OMin(v,u)),x) -> equal(v,c_COMBK(c_False,tc_bool,u)) c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,w,u,tc_fun(x,tc_bool)),x)*.
% 300.12/300.64 13896[0:Res:741.2,106.0] class_Orderings_Olinorder(u) || c_Finite__Set_Ofinite(v,u) c_Finite__Set_Ofinite(hAPP(w,c_Finite__Set_Olinorder__class_OMax(v,u)),x) -> equal(v,c_COMBK(c_False,tc_bool,u)) c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,w,u,tc_fun(x,tc_bool)),x)*.
% 300.12/300.64 14479[0:SpR:335.1,248.0] class_HOL_Ominus(u) || -> hBOOL(c_in(hAPP(c_HOL_Ominus__class_Ominus(hAPP(v,v_x),u),hAPP(w,v_x)),hAPP(c_Set_Oimage(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(t_a,u)),w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),y))*.
% 300.12/300.64 14839[0:SSi:14812.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(w,tc_bool))) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(w,tc_bool)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(w,tc_bool)),v)),u))* equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(w,tc_bool)),v),u).
% 300.12/300.64 14840[0:SSi:14810.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(w,tc_bool))) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(w,tc_bool)),u),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(w,tc_bool)),v)))* equal(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(w,tc_bool)),v)).
% 300.12/300.64 15117[0:SpL:13526.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_COMBK(v,w,x))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),c_COMBK(v,w,x)))*.
% 300.12/300.64 15109[0:SpL:9868.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),u)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)))*.
% 300.12/300.64 15108[0:SpL:8987.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),u)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)))*.
% 300.12/300.64 15107[0:SpL:9635.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),u)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)))*.
% 300.12/300.64 15106[0:SpL:8814.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_bool,tc_bool)),u)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)))*.
% 300.12/300.64 15100[0:SpL:13730.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool))) -> equal(v,c_False) hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool)))*.
% 300.12/300.64 15089[0:SpL:251.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(v,w),x)),w))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_COMBC(v,y,z,x1),x),u)),w))*.
% 300.12/300.64 15066[0:SpL:714.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),w),hAPP(c_fequal(u),w)))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(u),v)),hAPP(c_fequal(u),w)))*.
% 300.12/300.65 15065[0:SpL:710.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),w),hAPP(c_fequal(u),w)))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(u),v)),hAPP(c_fequal(u),w)))*.
% 300.12/300.65 15010[0:SpL:677.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_COMBK(c_False,tc_bool,w))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),u)),c_COMBK(c_False,tc_bool,w)))*.
% 300.12/300.65 14999[0:SpL:65.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(v,w)),w))* -> equal(w,x) hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Fun_Ofun__upd(v,x,y,z,x1),u)),w))*.
% 300.12/300.65 14980[0:SpL:708.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_COMBK(c_False,tc_bool,v)),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,v),tc_fun(v,tc_bool)),u)),w))*.
% 300.12/300.65 15243[0:Res:533.1,446.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)) hBOOL(hAPP(hAPP(c_lessequals(u),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(u),v))),v))* -> equal(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(u),v)),v).
% 300.12/300.65 15404[0:Res:27.2,4686.0] class_HOL_Oord(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,u)),w),x))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),y,z),hAPP(c_lessequals(tc_fun(v,u)),w)),c_False))*.
% 300.12/300.65 15519[0:Res:222.3,57.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || hBOOL(c_in(v,w,tc_fun(u,tc_bool)))* c_Finite__Set_Ofinite(w,tc_fun(u,tc_bool)) c_Finite__Set_Ofinite(v,u) -> c_Finite__Set_Ofinite(c_Finite__Set_Olinorder__class_OMin(w,tc_fun(u,tc_bool)),u)*.
% 300.12/300.65 15585[0:Res:221.3,57.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || hBOOL(c_in(v,w,tc_fun(u,tc_bool)))* c_Finite__Set_Ofinite(w,tc_fun(u,tc_bool)) c_Finite__Set_Ofinite(c_Finite__Set_Olinorder__class_OMax(w,tc_fun(u,tc_bool)),u)* -> c_Finite__Set_Ofinite(v,u).
% 300.12/300.65 16077[0:Res:434.2,166.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(y,v)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,y,x,u)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,y,x,u))**.
% 300.12/300.65 16076[0:Res:434.2,164.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,y,x,u)),hAPP(y,v)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,y,x,u))**.
% 300.12/300.65 16024[0:SpR:5292.1,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_HOL_Ominus__class_Ominus(z,tc_fun(u,tc_bool)),y,v)),z))*.
% 300.12/300.65 16023[0:SpR:5160.1,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_HOL_Ominus__class_Ominus(z,tc_fun(u,tc_bool)),y,v)),z))*.
% 300.12/300.65 16007[0:SpR:1010.2,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OSup__class_OSup(u),y,v)),w))*.
% 300.12/300.65 16006[0:SpR:1009.2,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OInf__class_OInf(u),y,v)),w))*.
% 300.12/300.65 16005[0:SpR:251.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_COMBC(y,z,x1,x2),x3),x,u)),hAPP(hAPP(y,v),x3)))*.
% 300.12/300.65 15986[0:SpR:611.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,w),x),y,z)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(y,c_Set_Oinsert(v,w),z,u)),hAPP(c_Set_Oinsert(v,w),x)))*.
% 300.12/300.65 15932[0:SpR:5430.2,434.2] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),x,v)),y))*.
% 300.12/300.65 15921[0:SpR:707.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_HOL_Ominus__class_Ominus(y,tc_fun(v,tc_bool)),x,u)),c_COMBK(c_False,tc_bool,v)))*.
% 300.12/300.65 15917[0:SpR:5685.2,434.2] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),x,v)),y))*.
% 300.12/300.65 15914[0:SpR:65.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> equal(v,y) hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Fun_Ofun__upd(z,y,x1,x2,x3),x,u)),hAPP(z,v)))*.
% 300.12/300.65 15895[0:SpR:708.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,y),tc_fun(y,tc_bool)),x,u)),c_COMBK(c_False,tc_bool,y)))*.
% 300.12/300.65 15888[0:SpR:5538.2,434.2] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),y,v)),w))*.
% 300.12/300.65 15887[0:SpR:5860.2,434.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),y,v)),w))*.
% 300.12/300.65 15885[0:SpR:5360.2,434.2] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),y,v)),w))*.
% 300.12/300.65 15884[0:SpR:5792.2,434.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),y,v)),w))*.
% 300.12/300.65 16340[0:Res:264.2,451.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(y,v)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,y,x,u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,y,x,u))**.
% 300.12/300.65 16339[0:Res:264.2,449.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,y,x,u)),hAPP(y,v)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,y,x,u))**.
% 300.12/300.65 16288[0:SpR:5292.1,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),z),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_HOL_Ominus__class_Ominus(z,tc_fun(u,tc_bool)),y,v)))*.
% 300.12/300.65 16287[0:SpR:5160.1,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),z),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_HOL_Ominus__class_Ominus(z,tc_fun(u,tc_bool)),y,v)))*.
% 300.12/300.65 16270[0:SpR:1010.2,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(u),y,v)))*.
% 300.12/300.65 16269[0:SpR:1009.2,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OInf__class_OInf(u),y,v)))*.
% 300.12/300.65 16268[0:SpR:251.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(y,v),z)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_COMBC(y,x1,x2,x3),z),x,u)))*.
% 300.12/300.65 16249[0:SpR:611.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,w),x),y,z)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_Set_Oinsert(v,w),x)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,c_Set_Oinsert(v,w),z,u)))*.
% 300.12/300.65 16195[0:SpR:5430.2,264.2] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),x,v)))*.
% 300.12/300.65 16184[0:SpR:707.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_COMBK(c_False,tc_bool,v)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Ominus__class_Ominus(y,tc_fun(v,tc_bool)),x,u)))*.
% 300.12/300.65 16180[0:SpR:5685.2,264.2] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),x,v)))*.
% 300.12/300.65 16177[0:SpR:65.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> equal(v,y) hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(z,v)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Fun_Ofun__upd(z,y,x1,x2,x3),x,u)))*.
% 300.12/300.65 16158[0:SpR:708.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_COMBK(c_False,tc_bool,y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,y),tc_fun(y,tc_bool)),x,u)))*.
% 300.12/300.65 16151[0:SpR:5538.2,264.2] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),y,v)))*.
% 300.12/300.65 16150[0:SpR:5860.2,264.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),y,v)))*.
% 300.12/300.65 16148[0:SpR:5360.2,264.2] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),y,v)))*.
% 300.12/300.65 16147[0:SpR:5792.2,264.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),y,v)))*.
% 300.12/300.65 16354[0:SSi:16329.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,y,w,tc_fun(x,tc_bool))),hAPP(y,u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,y,w,tc_fun(x,tc_bool)))**.
% 300.12/300.65 16523[0:SpL:759.0,5903.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w)) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),w,u)*.
% 300.12/300.65 17103[0:Res:412.1,71.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(x,u),w)))* equal(v,hAPP(c_Set_Oinsert(x,u),w)).
% 300.12/300.65 18505[0:SSi:18476.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),y)))*.
% 300.12/300.65 18711[0:SSi:18690.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),x)))*.
% 300.12/300.65 19252[0:Res:221.3,477.1] class_Orderings_Olinorder(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),x,u))* c_Finite__Set_Ofinite(x,u) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Finite__Set_Olinorder__class_OMax(x,u))).
% 300.12/300.65 19286[0:SSi:19250.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(y,u),x)))*.
% 300.12/300.65 19611[0:Res:221.3,476.1] class_Orderings_Olinorder(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),x,u))* c_Finite__Set_Ofinite(x,u) -> hBOOL(hAPP(hAPP(c_lessequals(u),w),c_Finite__Set_Olinorder__class_OMax(x,u))).
% 300.12/300.65 19645[0:SSi:19609.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),hAPP(c_Set_Oinsert(y,u),x)))*.
% 300.12/300.65 19786[0:Res:222.3,170.1] class_Orderings_Olinorder(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x,u))* c_Finite__Set_Ofinite(x,u) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Finite__Set_Olinorder__class_OMin(x,u)),w)).
% 300.12/300.65 19902[0:SpL:19877.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))))*.
% 300.12/300.65 20008[0:Res:222.3,169.1] class_Orderings_Olinorder(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x,u))* c_Finite__Set_Ofinite(x,u) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Finite__Set_Olinorder__class_OMin(x,u)),v)).
% 300.12/300.65 20311[0:Res:8.1,157.1] class_Ring__and__Field_Oordered__idom(tc_fun(u,v)) class_HOL_Oord(v) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,v)),w),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,v)),w),x)) equal(x,w).
% 300.12/300.65 20357[0:SpL:20155.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool)))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool))))*.
% 300.12/300.65 20837[0:SpR:13523.0,435.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 300.12/300.65 20836[0:SpR:15401.0,435.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 300.12/300.65 20835[0:SpR:13524.0,435.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 300.12/300.65 20826[0:SpR:12724.0,435.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(c_False,tc_bool),v)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool))),c_False))*.
% 300.12/300.65 20825[0:SpR:13633.0,435.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 300.12/300.65 20822[0:SpR:12684.0,435.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)))*.
% 300.12/300.65 20788[0:SpR:20287.0,435.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 20777[0:SpR:149.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_COMBB(y,z,x1,x2,x3),w,tc_fun(x,tc_bool))),hAPP(y,hAPP(z,u))))*.
% 300.12/300.65 20776[0:SpR:424.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Fun_Ocomp(y,z,x1,x2,x3),w,tc_fun(x,tc_bool))),hAPP(y,hAPP(z,u))))*.
% 300.12/300.65 20756[0:SpR:2678.0,435.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(z,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),y,tc_fun(z,tc_bool))),w))*.
% 300.12/300.65 20688[0:SpR:691.0,435.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Set_Oimage(y,u,z),w,tc_fun(x,tc_bool))),c_COMBK(c_False,tc_bool,z)))*.
% 300.12/300.65 20886[0:SSi:20875.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),hAPP(y,u)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,y,w,tc_fun(x,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,y,w,tc_fun(x,tc_bool)))**.
% 300.12/300.65 20887[0:SSi:20874.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,y,w,tc_fun(x,tc_bool))),hAPP(y,u)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,y,w,tc_fun(x,tc_bool)))**.
% 300.12/300.65 20990[0:SpR:15486.1,435.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 21248[0:SpR:13523.0,265.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 21247[0:SpR:15401.0,265.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 21246[0:SpR:13524.0,265.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 21237[0:SpR:12724.0,265.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Set_Oinsert(c_False,tc_bool),v)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool))))*.
% 300.12/300.65 21236[0:SpR:13633.0,265.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 21233[0:SpR:12684.0,265.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 21210[0:SpR:15486.1,265.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 21198[0:SpR:20287.0,265.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 21187[0:SpR:149.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(y,hAPP(z,u))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_COMBB(y,z,x1,x2,x3),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 21186[0:SpR:424.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(y,hAPP(z,u))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Fun_Ocomp(y,z,x1,x2,x3),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 21166[0:SpR:2678.0,265.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(z,tc_bool)),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),y,tc_fun(z,tc_bool))))*.
% 300.12/300.65 21098[0:SpR:691.0,265.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(z,u,y),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 21306[0:SpR:17170.0,265.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 21305[0:SpR:17170.0,435.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 300.12/300.65 21342[0:SpR:17217.0,265.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 21341[0:SpR:17217.0,435.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 300.12/300.65 21380[0:SpR:20157.1,265.1] class_Orderings_Olinorder(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 21379[0:SpR:20157.1,435.1] class_Orderings_Olinorder(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 21400[0:SpR:20158.1,265.1] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 21399[0:SpR:20158.1,435.1] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 21477[0:SpR:20159.1,265.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 21476[0:SpR:20159.1,435.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 21499[0:SpR:20160.1,265.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 21498[0:SpR:20160.1,435.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 21522[0:SpR:20161.1,265.1] class_Orderings_Oorder(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 21521[0:SpR:20161.1,435.1] class_Orderings_Oorder(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 21546[0:SpR:20162.1,265.1] class_Orderings_Opreorder(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 21545[0:SpR:20162.1,435.1] class_Orderings_Opreorder(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 22007[0:Res:8.1,352.0] class_Ring__and__Field_Oordered__idom(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),y),v))* equal(v,y) hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Oord__class_Oless(u),x,tc_fun(z,tc_bool)),y))*.
% 300.12/300.65 22006[0:Res:4.1,352.0] class_Orderings_Olinorder(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),y),v))* equal(y,v) hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Oord__class_Oless(u),x,tc_fun(z,tc_bool)),y))*.
% 300.12/300.65 21988[0:Res:454.1,352.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w)** hBOOL(c_in(v,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_lessequals(tc_fun(u,tc_bool)),y,tc_fun(z,tc_bool)),w))*.
% 300.12/300.65 21774[0:SpL:13523.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(hAPP(c_lessequals(tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.65 21773[0:SpL:17217.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.65 21772[0:SpL:15401.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.65 21771[0:SpL:17170.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.65 21770[0:SpL:13524.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.65 21761[0:SpL:12724.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Set_Oinsert(c_False,tc_bool),w)),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OInf__class_OInf(tc_bool),y,tc_fun(z,tc_bool)),u))*.
% 300.12/300.65 21760[0:SpL:13633.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.65 21757[0:SpL:12684.0,352.0] || hBOOL(hAPP(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),u),v))* hBOOL(c_in(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 21734[0:SpL:15486.1,352.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(u,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 21730[0:SpL:20157.1,352.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 21729[0:SpL:20158.1,352.0] class_Lattices_Olattice(u) || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 21728[0:SpL:20159.1,352.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 21727[0:SpL:20160.1,352.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 21726[0:SpL:20161.1,352.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 21725[0:SpL:20162.1,352.0] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 21716[0:SpL:20287.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.65 21705[0:SpL:149.0,352.0] || hBOOL(hAPP(hAPP(u,hAPP(v,w)),x))* hBOOL(c_in(w,y,z))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,c_COMBB(u,v,x1,x2,x3),z,tc_fun(x4,tc_bool)),x))*.
% 300.12/300.65 21704[0:SpL:424.0,352.0] || hBOOL(hAPP(hAPP(u,hAPP(v,w)),x))* hBOOL(c_in(w,y,z))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,c_Fun_Ocomp(u,v,x1,x2,x3),z,tc_fun(x4,tc_bool)),x))*.
% 300.12/300.65 21684[0:SpL:2678.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(hAPP(c_Set_Oinsert(w,x),u),y,z))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),u),z,tc_fun(x1,tc_bool)),v))*.
% 300.12/300.65 22044[0:SpL:20209.1,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),v),w,x))* -> equal(c_Orderings_Otop__class_Otop(tc_bool),v) hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.65 22034[0:SpR:20209.1,265.1] || hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v,w))* -> equal(c_Orderings_Otop__class_Otop(tc_bool),u) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 22033[0:SpR:20209.1,435.1] || hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v,w))* -> equal(c_Orderings_Otop__class_Otop(tc_bool),u) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 22069[0:SpL:20246.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 22058[0:SpR:20246.1,265.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 22057[0:SpR:20246.1,435.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 22091[0:SpL:20247.1,352.0] class_Lattices_Olattice(u) || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 22079[0:SpR:20247.1,265.1] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 22078[0:SpR:20247.1,435.1] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 22114[0:SpL:20248.1,352.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 22101[0:SpR:20248.1,265.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 22100[0:SpR:20248.1,435.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 22120[0:Res:533.1,497.0] || hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,v,w,tc_fun(x,tc_bool)),c_False)) hBOOL(c_in(y,u,w)) -> hBOOL(hAPP(hAPP(v,y),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,v,w,tc_fun(x,tc_bool)))))*.
% 300.12/300.65 22140[0:SpL:20249.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 22130[0:SpR:20249.1,265.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 22129[0:SpR:20249.1,435.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 22161[0:SpL:20250.1,352.0] class_Lattices_Olattice(u) || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 22150[0:SpR:20250.1,265.1] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 22149[0:SpR:20250.1,435.1] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 22183[0:SpL:20251.1,352.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 22171[0:SpR:20251.1,265.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 22170[0:SpR:20251.1,435.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 22234[0:SpL:20303.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,tc_fun(z,tc_bool)),u))*.
% 300.12/300.65 22220[0:SpR:20303.0,265.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool))))*.
% 300.12/300.65 22219[0:SpR:20303.0,435.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 22257[0:SpL:20330.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_lessequals(tc_bool),w)),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,tc_fun(z,tc_bool)),u))*.
% 300.12/300.65 22244[0:SpR:20330.0,265.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_bool),v)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool))))*.
% 300.12/300.65 22243[0:SpR:20330.0,435.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_bool),v)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 22280[0:SpL:20345.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w)),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,tc_fun(z,tc_bool)),u))*.
% 300.12/300.65 22267[0:SpR:20345.0,265.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool))))*.
% 300.12/300.65 22266[0:SpR:20345.0,435.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 22626[0:SpL:405.0,408.0] || hBOOL(c_in(u,hAPP(c_Set_Oimage(v,w,x),hAPP(c_Set_Oinsert(y,w),z)),x))* -> hBOOL(c_in(u,hAPP(c_Set_Oimage(v,w,x),z),x)) equal(u,hAPP(v,y)).
% 300.12/300.65 22598[0:SpR:13516.1,405.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(u,v),x)),hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),x)))*.
% 300.12/300.65 22597[0:SpR:13736.1,405.0] || -> equal(u,c_False) equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),x)))*.
% 300.12/300.65 22590[0:SpR:13518.1,405.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v),x)),hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),x)))*.
% 300.12/300.65 22589[0:SpR:13522.1,405.0] class_Orderings_Obot(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v),x)),hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),x)))*.
% 300.12/300.65 22584[0:SpR:13552.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),u),y)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),y)))*.
% 300.12/300.65 22583[0:SpR:12758.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),u),x)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),x)))*.
% 300.12/300.65 22580[0:SpR:13539.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_lessequals(tc_bool),c_False)),u),x)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),x)))*.
% 300.12/300.65 22579[0:SpR:12721.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_fequal(tc_bool),c_False)),u),x)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),x)))*.
% 300.12/300.65 22557[0:SpR:20106.1,405.0] || hBOOL(u) -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(c_COMBK(u,x,y),v),z)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),z)))*.
% 300.12/300.65 22546[0:SpR:20245.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),u),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),x)))*.
% 300.12/300.65 22539[0:SpR:20156.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),u),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),x)))*.
% 300.12/300.65 22536[0:SpR:20134.1,405.0] || hBOOL(u) -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),x)))*.
% 300.12/300.65 22526[0:SpR:15551.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),u),x)),hAPP(c_Set_Oinsert(w,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),x)))*.
% 300.12/300.65 22525[0:SpR:12263.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(c_False,tc_bool),w),u),x)),hAPP(c_Set_Oinsert(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),w),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),x)))*.
% 300.12/300.65 22442[0:SpR:12625.0,405.0] || -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v),hAPP(c_Set_Oinsert(w,u),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v),x)))*.
% 300.12/300.65 22429[0:SpR:683.1,405.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,w),hAPP(c_Set_Oinsert(c_COMBK(c_False,tc_bool,u),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,w),x)))*.
% 300.12/300.65 22428[0:SpR:682.1,405.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,w),hAPP(c_Set_Oinsert(c_COMBK(c_False,tc_bool,u),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,w),x)))*.
% 300.12/300.65 22419[0:SpR:357.1,405.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,w),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),v,w),x)))*.
% 300.12/300.65 22418[0:SpR:441.1,405.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,w),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),v,w),x)))*.
% 300.12/300.65 22406[0:SpR:5302.1,405.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,x),hAPP(c_Set_Oinsert(y,w),z)),hAPP(c_Set_Oinsert(c_False,x),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,x),z)))*.
% 300.12/300.65 22405[0:SpR:5169.1,405.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,x),hAPP(c_Set_Oinsert(y,w),z)),hAPP(c_Set_Oinsert(c_False,x),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,x),z)))*.
% 300.12/300.65 22391[0:SpR:13738.1,405.0] || -> equal(u,c_False) equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),y)),hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w),y)))*.
% 300.12/300.65 22382[0:SpR:50.1,405.0] class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(v,w),y)),hAPP(c_Set_Oinsert(v,x),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),y)))*.
% 300.12/300.65 22381[0:SpR:1919.1,405.0] class_Lattices_Olattice(u) || -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(v,w),y)),hAPP(c_Set_Oinsert(v,x),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),y)))*.
% 300.12/300.65 22380[0:SpR:12821.1,405.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(v,w),y)),hAPP(c_Set_Oinsert(v,x),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),y)))*.
% 300.12/300.65 22379[0:SpR:255.1,405.0] class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(v,w),y)),hAPP(c_Set_Oinsert(v,x),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),y)))*.
% 300.12/300.65 22378[0:SpR:1918.1,405.0] class_Lattices_Olattice(u) || -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(v,w),y)),hAPP(c_Set_Oinsert(v,x),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),y)))*.
% 300.12/300.65 22377[0:SpR:12701.1,405.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(v,w),y)),hAPP(c_Set_Oinsert(v,x),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),y)))*.
% 300.12/300.65 22349[0:SpR:405.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oinsert(hAPP(u,v),w),hAPP(c_Set_Oimage(u,x,w),y),hAPP(c_Set_Oimage(u,x,w),hAPP(c_Set_Oinsert(v,x),y)),z,x1),c_Set_Oinsert(hAPP(u,v),w))**.
% 300.12/300.65 22317[0:SpR:405.0,418.1] || hBOOL(c_in(hAPP(u,v),hAPP(c_Set_Oimage(u,w,x),y),x))* -> equal(hAPP(c_Set_Oimage(u,w,x),hAPP(c_Set_Oinsert(v,w),y)),hAPP(c_Set_Oimage(u,w,x),y))**.
% 300.12/300.65 23076[0:SpL:15486.1,461.0] || equal(hAPP(u,v),c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)))* equal(hAPP(u,v),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,u,x,y)* -> equal(hAPP(hAPP(w,c_Complete__Lattice_OSup__class_OSup(tc_bool)),v),v)**.
% 300.12/300.65 23069[0:SpL:20245.0,461.0] || equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)).
% 300.12/300.65 23062[0:SpL:20156.0,461.0] || equal(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_lessequals(tc_fun(u,tc_bool)),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)).
% 300.12/300.65 23046[0:SpL:149.0,461.0] || equal(hAPP(u,hAPP(v,hAPP(w,x))),hAPP(w,x))** c_Record_Oiso__tuple__update__accessor__cong__assist(y,w,z,x1)* -> equal(hAPP(hAPP(y,c_COMBB(u,v,x2,x3,x4)),x),x)**.
% 300.12/300.65 23045[0:SpL:424.0,461.0] || equal(hAPP(u,hAPP(v,hAPP(w,x))),hAPP(w,x))** c_Record_Oiso__tuple__update__accessor__cong__assist(y,w,z,x1)* -> equal(hAPP(hAPP(y,c_Fun_Ocomp(u,v,x2,x3,x4)),x),x)**.
% 300.12/300.65 23038[0:SpL:2651.0,461.0] || equal(hAPP(c_Set_Oinsert(u,v),w),hAPP(c_fequal(v),u)) c_Record_Oiso__tuple__update__accessor__cong__assist(x,c_fequal(v),y,z)* -> equal(hAPP(hAPP(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w)),u),u)**.
% 300.12/300.65 23029[0:SpL:3333.0,461.0] || equal(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),w)),hAPP(c_fequal(v),u))** c_Record_Oiso__tuple__update__accessor__cong__assist(x,c_fequal(v),y,z)* -> equal(hAPP(hAPP(x,c_Set_Oinsert(w,v)),u),u)**.
% 300.12/300.65 23018[0:SpL:1091.0,461.0] || equal(c_COMBK(c_False,tc_bool,u),hAPP(v,w))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u))),w),w)**.
% 300.12/300.65 23013[0:SpL:279.0,461.0] || equal(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),hAPP(v,w))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))),w),w)**.
% 300.12/300.65 22999[0:SpL:5674.2,461.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || equal(c_Orderings_Obot__class_Obot(u),hAPP(v,w))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u))),w),w)**.
% 300.12/300.65 22998[0:SpL:5789.2,461.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || equal(c_Orderings_Obot__class_Obot(u),hAPP(v,w))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u))),w),w)**.
% 300.12/300.65 22988[0:SpL:5441.2,461.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || equal(c_Orderings_Otop__class_Otop(u),hAPP(v,w))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u))),w),w)**.
% 300.12/300.65 22987[0:SpL:5861.2,461.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || equal(c_Orderings_Otop__class_Otop(u),hAPP(v,w))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u))),w),w)**.
% 300.12/300.65 22927[0:SpL:19877.0,461.0] || equal(hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)))**.
% 300.12/300.65 22877[0:SpL:20155.0,461.0] || equal(hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x)* -> equal(hAPP(hAPP(v,u),hAPP(c_fequal(y),c_Orderings_Otop__class_Otop(tc_bool))),hAPP(c_fequal(y),c_Orderings_Otop__class_Otop(tc_bool)))**.
% 300.12/300.65 22810[0:SpL:1923.0,461.0] || equal(hAPP(u,v),v)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),v),y,z)* -> equal(hAPP(hAPP(w,u),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)))**.
% 300.12/300.65 22789[0:SpL:9856.0,461.0] || equal(hAPP(u,v),v)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),v),x,y)* -> equal(hAPP(hAPP(w,u),c_SetInterval_Oord__class_OgreaterThanAtMost(z,z,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(z,z,tc_bool))**.
% 300.12/300.65 22788[0:SpL:8975.0,461.0] || equal(hAPP(u,v),v)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),v),x,y)* -> equal(hAPP(hAPP(w,u),c_SetInterval_Oord__class_OgreaterThanAtMost(z,c_False,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(z,c_False,tc_bool))**.
% 300.12/300.65 22787[0:SpL:9623.0,461.0] || equal(hAPP(u,v),v)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),v),x,y)* -> equal(hAPP(hAPP(w,u),c_SetInterval_Oord__class_OatLeastLessThan(z,z,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(z,z,tc_bool))**.
% 300.12/300.65 22786[0:SpL:8802.0,461.0] || equal(hAPP(u,v),v)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),v),x,y)* -> equal(hAPP(hAPP(w,u),c_SetInterval_Oord__class_OatLeastLessThan(z,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(z,c_False,tc_bool))**.
% 300.12/300.65 22785[0:SpL:5276.1,461.0] class_Orderings_Oorder(u) || equal(hAPP(v,w),w) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,u)),z,x1)* -> equal(hAPP(hAPP(x,v),w),w)**.
% 300.12/300.65 22784[0:SpL:5145.1,461.0] class_Orderings_Oorder(u) || equal(hAPP(v,w),w) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,y,u)),z,x1)* -> equal(hAPP(hAPP(x,v),w),w)**.
% 300.12/300.65 22782[0:SpL:685.0,461.0] || equal(hAPP(u,v),v)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),v),y,z)* -> equal(hAPP(hAPP(w,u),c_COMBK(c_False,tc_bool,x)),c_COMBK(c_False,tc_bool,x))**.
% 300.12/300.65 22770[0:SpL:5430.2,461.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || equal(hAPP(v,w),w)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y,z)* -> equal(hAPP(hAPP(x,v),c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u))**.
% 300.12/300.65 22754[0:SpL:5685.2,461.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || equal(hAPP(v,w),w)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),y,z)* -> equal(hAPP(hAPP(x,v),c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(u))**.
% 300.12/300.65 22731[0:SpL:728.0,461.0] || equal(hAPP(u,hAPP(c_fequal(v),w)),hAPP(c_fequal(v),w))** c_Record_Oiso__tuple__update__accessor__cong__assist(x,c_COMBC(c_fequal(v),v,v,tc_bool),y,z)* -> equal(hAPP(hAPP(x,u),w),w)**.
% 300.12/300.65 23186[0:SpL:20163.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 23172[0:SpR:20163.1,265.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 23171[0:SpR:20163.1,435.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 23212[0:SpL:20167.1,352.0] class_Orderings_Obot(u) || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 23197[0:SpR:20167.1,265.1] class_Orderings_Obot(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 23196[0:SpR:20167.1,435.1] class_Orderings_Obot(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 23234[0:SpL:20177.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(c_Finite__Set_Ofold1Set(v,hAPP(c_fequal(w),c_Orderings_Otop__class_Otop(tc_bool)),w),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,tc_fun(z,tc_bool)),u))*.
% 300.12/300.65 23223[0:SpR:20177.0,265.1] || hBOOL(c_in(c_Finite__Set_Ofold1Set(u,hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool)),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool))))*.
% 300.12/300.65 23222[0:SpR:20177.0,435.1] || hBOOL(c_in(c_Finite__Set_Ofold1Set(u,hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool)),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 23249[0:SpR:472.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(c_Fun_Ocomp(u,v,w,x,y),y,x),z,x1),c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool))),hAPP(c_Set_Oimage(u,w,x),hAPP(c_Set_Oimage(v,y,w),x2))))*.
% 300.12/300.65 23331[0:SpL:20252.1,352.0] class_Lattices_Obounded__lattice(u) || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 23317[0:SpR:20252.1,265.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 23316[0:SpR:20252.1,435.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 23357[0:SpL:20253.1,352.0] class_Lattices_Obounded__lattice(u) || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 23342[0:SpR:20253.1,265.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 23341[0:SpR:20253.1,435.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 23414[0:SpR:46.0,1430.0] || -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(c_COMBB(u,v,w,x,y),y,x),z,x1),c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool))),hAPP(c_Set_Oimage(u,w,x),hAPP(c_Set_Oimage(v,y,w),x2))))*.
% 300.12/300.65 23385[0:SpR:46.0,771.1] || -> equal(hAPP(c_Set_Oimage(u,v,w),x),c_COMBK(c_False,tc_bool,w)) equal(hAPP(c_Set_Oimage(c_COMBB(c_COMBK(y,z,w),u,w,z,v),v,z),x),hAPP(c_fequal(z),y))**.
% 300.12/300.65 23543[0:SpR:8816.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(z,tc_bool,y),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 23542[0:SpR:8816.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Set_Oimage(y,tc_bool,z),w,tc_fun(x,tc_bool))),c_COMBK(c_False,tc_bool,z)))*.
% 300.12/300.65 23657[0:SpL:94.1,20047.0] || hBOOL(hAPP(c_Set_Oimage(u,v,w),c_Orderings_Otop__class_Otop(tc_bool))) -> hBOOL(c_in(x,c_Orderings_Otop__class_Otop(tc_bool),v)) equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Set_Oimage(c_Fun_Ofun__upd(u,x,y,v,w),v,w)),c_Orderings_Otop__class_Otop(tc_bool))**.
% 300.12/300.65 23592[0:SpR:94.1,1430.0] || -> hBOOL(c_in(u,v,w)) hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oimage(c_Fun_Ofun__upd(x,u,y,w,z),w,z),x1,x2),c_Orderings_Otop__class_Otop(tc_fun(x1,tc_bool))),hAPP(c_Set_Oimage(x,w,z),v)))*.
% 300.12/300.65 23672[0:SpR:8989.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(z,tc_bool,y),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 23671[0:SpR:8989.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Set_Oimage(y,tc_bool,z),w,tc_fun(x,tc_bool))),c_COMBK(c_False,tc_bool,z)))*.
% 300.12/300.65 24239[0:Res:450.2,364.1] class_Lattices_Oupper__semilattice(tc_fun(u,v)) class_HOL_Oord(v) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,v)),w),x),x)** -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(w,y)),hAPP(x,y)))*.
% 300.12/300.65 24238[0:Res:165.2,364.1] class_Lattices_Olower__semilattice(tc_fun(u,v)) class_HOL_Oord(v) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,v)),w),x),w)** -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(w,y)),hAPP(x,y)))*.
% 300.12/300.65 24201[0:Res:533.1,364.1] class_HOL_Oord(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(v,u)),w),c_False)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(w,x)),hAPP(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(tc_fun(v,u)),w)),x)))*.
% 300.12/300.65 24675[0:Res:83.3,755.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) equal(c_SetInterval_Oord__class_OatLeastAtMost(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(u),w,u),v,u),c_COMBK(c_False,tc_bool,u))** -> .
% 300.12/300.65 24694[0:SSi:24664.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool))) c_Finite__Set_Ofinite(v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)) -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),w)*.
% 300.12/300.65 24716[0:SpR:9637.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(z,tc_bool,y),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 24715[0:SpR:9637.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Set_Oimage(y,tc_bool,z),w,tc_fun(x,tc_bool))),c_COMBK(c_False,tc_bool,z)))*.
% 300.12/300.65 24766[0:SpR:9870.0,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oimage(z,tc_bool,y),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 24765[0:SpR:9870.0,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Set_Oimage(y,tc_bool,z),w,tc_fun(x,tc_bool))),c_COMBK(c_False,tc_bool,z)))*.
% 300.12/300.65 24901[0:SpL:803.2,597.0] class_Orderings_Olinorder(tc_Hoare__Mirabelle_Otriple(u)) || hBOOL(hAPP(hAPP(c_lessequals(tc_Hoare__Mirabelle_Otriple(u)),v),w)) c_Hoare__Mirabelle_Ohoare__derivs(x,c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_Hoare__Mirabelle_Otriple(u)),u) -> c_Hoare__Mirabelle_Ohoare__derivs(x,c_SetInterval_Oord__class_OatLeastLessThan(v,w,tc_Hoare__Mirabelle_Otriple(u)),u)*.
% 300.12/300.65 24900[0:SpL:803.2,767.0] class_Orderings_Olinorder(tc_Hoare__Mirabelle_Otriple(u)) || hBOOL(hAPP(hAPP(c_lessequals(tc_Hoare__Mirabelle_Otriple(u)),v),w)) c_Hoare__Mirabelle_Ohoare__derivs(x,c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_Hoare__Mirabelle_Otriple(u)),u)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(u)),w),u)*.
% 300.12/300.65 24893[0:SpL:803.2,4131.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),x)) -> hBOOL(c_in(x,c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),u))* equal(x,w).
% 300.12/300.65 24847[0:SpR:803.2,1436.0] class_Orderings_Olinorder(tc_Hoare__Mirabelle_Otriple(u)) || hBOOL(hAPP(hAPP(c_lessequals(tc_Hoare__Mirabelle_Otriple(u)),v),w)) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_Hoare__Mirabelle_Otriple(u))),c_SetInterval_Oord__class_OatLeastLessThan(v,w,tc_Hoare__Mirabelle_Otriple(u)),u)*.
% 300.12/300.65 24837[0:SpR:803.2,3059.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* equal(c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))) -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))).
% 300.12/300.65 24819[0:SpR:803.2,2678.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u))**.
% 300.12/300.65 24937[0:Rew:803.2,24899.3] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u))))* -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_False)).
% 300.12/300.65 25086[0:SpL:802.2,597.0] class_Orderings_Olinorder(tc_Hoare__Mirabelle_Otriple(u)) || hBOOL(hAPP(hAPP(c_lessequals(tc_Hoare__Mirabelle_Otriple(u)),v),w)) c_Hoare__Mirabelle_Ohoare__derivs(x,c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_Hoare__Mirabelle_Otriple(u)),u) -> c_Hoare__Mirabelle_Ohoare__derivs(x,c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,tc_Hoare__Mirabelle_Otriple(u)),u)*.
% 300.12/300.65 25085[0:SpL:802.2,767.0] class_Orderings_Olinorder(tc_Hoare__Mirabelle_Otriple(u)) || hBOOL(hAPP(hAPP(c_lessequals(tc_Hoare__Mirabelle_Otriple(u)),v),w)) c_Hoare__Mirabelle_Ohoare__derivs(x,c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_Hoare__Mirabelle_Otriple(u)),u)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(u)),v),u)*.
% 300.12/300.65 25078[0:SpL:802.2,4131.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),x)) -> hBOOL(c_in(x,c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),u))* equal(x,v).
% 300.12/300.65 25032[0:SpR:802.2,1436.0] class_Orderings_Olinorder(tc_Hoare__Mirabelle_Otriple(u)) || hBOOL(hAPP(hAPP(c_lessequals(tc_Hoare__Mirabelle_Otriple(u)),v),w)) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_Hoare__Mirabelle_Otriple(u))),c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,tc_Hoare__Mirabelle_Otriple(u)),u)*.
% 300.12/300.65 25022[0:SpR:802.2,3059.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))) -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))).
% 300.12/300.65 25004[0:SpR:802.2,2678.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u))**.
% 300.12/300.65 25119[0:Rew:802.2,25084.3] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(hAPP(c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u))))* -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_False)).
% 300.12/300.65 25216[0:Res:454.1,181.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oimage(w,u,u),v)),hAPP(c_Set_Oimage(w,u,u),v))** c_Finite__Set_Ofinite(v,u) -> c_Fun_Oinj__on(w,v,u,u).
% 300.12/300.65 25252[0:SpR:803.2,10592.1] class_Orderings_Olinorder(tc_Hoare__Mirabelle_Otriple(u)) || hBOOL(hAPP(hAPP(c_lessequals(tc_Hoare__Mirabelle_Otriple(u)),v),w)) c_Hoare__Mirabelle_Ohoare__derivs(c_SetInterval_Oord__class_OatLeastLessThan(v,w,tc_Hoare__Mirabelle_Otriple(u)),x,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_Hoare__Mirabelle_Otriple(u)),x,u).
% 300.12/300.65 25251[0:SpR:802.2,10592.1] class_Orderings_Olinorder(tc_Hoare__Mirabelle_Otriple(u)) || hBOOL(hAPP(hAPP(c_lessequals(tc_Hoare__Mirabelle_Otriple(u)),v),w)) c_Hoare__Mirabelle_Ohoare__derivs(c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,tc_Hoare__Mirabelle_Otriple(u)),x,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(c_SetInterval_Oord__class_OatLeastAtMost(v,w,tc_Hoare__Mirabelle_Otriple(u)),x,u).
% 300.12/300.65 25267[0:SpR:20201.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 300.12/300.65 25266[0:SpR:20201.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 25317[0:SpR:20203.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 300.12/300.65 25316[0:SpR:20203.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 25355[0:SpR:20256.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 300.12/300.65 25354[0:SpR:20256.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 25390[0:SpR:20258.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 300.12/300.65 25389[0:SpR:20258.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 25481[0:SpR:13507.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 300.12/300.65 25480[0:SpR:13507.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_False))*.
% 300.12/300.65 25504[0:SpR:13508.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 300.12/300.65 25503[0:SpR:13508.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_False))*.
% 300.12/300.65 25612[0:SpR:20170.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 300.12/300.65 25611[0:SpR:20170.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 25640[0:SpR:20202.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 300.12/300.65 25639[0:SpR:20202.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 25678[0:SpR:20204.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 300.12/300.65 25677[0:SpR:20204.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 25718[0:SpR:20255.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 300.12/300.65 25717[0:SpR:20255.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 25761[0:Res:320.0,801.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(u),v),tc_fun(u,tc_bool)),w),hAPP(c_fequal(u),v))** equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(u),v),tc_fun(u,tc_bool)),w),c_COMBK(c_False,tc_bool,u)).
% 300.12/300.65 25799[0:SpR:20257.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 300.12/300.65 25798[0:SpR:20257.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 25837[0:SpR:20259.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 300.12/300.65 25836[0:SpR:20259.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 25877[0:SpR:20260.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 300.12/300.65 25876[0:SpR:20260.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 25899[0:SpR:20361.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_fequal(w),c_Orderings_Otop__class_Otop(tc_bool))),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,u)))*.
% 300.12/300.65 25898[0:SpR:20361.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_fequal(w),c_Orderings_Otop__class_Otop(tc_bool))),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 25979[0:Res:41.1,17.1] class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v))) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),v))*.
% 300.12/300.65 25978[0:Res:37.1,17.1] class_Lattices_Olattice(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v))) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),v))*.
% 300.12/300.65 25956[0:Res:232.1,17.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),w))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))).
% 300.12/300.65 25955[0:Res:229.1,17.1] class_Lattices_Olattice(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),w))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))).
% 300.12/300.65 25954[0:Res:233.1,17.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),v))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))).
% 300.12/300.65 25953[0:Res:228.1,17.1] class_Lattices_Olattice(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),v))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))).
% 300.12/300.65 25940[0:Res:42.1,17.1] class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),v))*.
% 300.12/300.65 25939[0:Res:36.1,17.1] class_Lattices_Olattice(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),v))*.
% 300.12/300.65 26392[0:SSi:26340.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x))),y))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),x),y)).
% 300.12/300.65 26393[0:SSi:26249.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(x,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),w))))*.
% 300.12/300.65 26394[0:SSi:26248.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(x,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),w))))*.
% 300.12/300.65 26755[0:SpL:410.0,597.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(v)),y)),v)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),y),v).
% 300.12/300.65 26748[0:SpL:410.0,610.0] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)),y))* -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),x),y)) equal(w,y).
% 300.12/300.65 26650[0:SpR:410.0,10592.1] || c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w),x,u) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),hAPP(c_Set_Oinsert(y,tc_Hoare__Mirabelle_Otriple(u)),w)),x,u)*.
% 300.12/300.65 26637[0:SpR:410.0,35.0] || -> equal(c_Fun_Ofun__upd(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(c_Set_Oinsert(u,v),x)),y,z),c_Set_Oinsert(u,v))**.
% 300.12/300.65 26627[0:SpR:410.0,1436.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(v)),y))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),y),v)*.
% 300.12/300.65 26840[0:SSi:26737.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x))),y))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),y)).
% 300.12/300.65 26841[0:SSi:26595.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(x,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),y))))*.
% 300.12/300.65 26842[0:SSi:26594.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(x,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),y))))*.
% 300.12/300.65 27074[0:SpL:8803.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),u)),w))*.
% 300.12/300.65 27026[0:SpR:8803.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),x,u)))*.
% 300.12/300.65 27025[0:SpR:8803.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),x,u)),c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool)))*.
% 300.12/300.65 27146[0:SpL:8976.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),u)),w))*.
% 300.12/300.65 27095[0:SpR:8976.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),x,u)))*.
% 300.12/300.65 27094[0:SpR:8976.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),x,u)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool)))*.
% 300.12/300.65 27262[0:SSi:27234.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Orderings_Oorder(u) || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_SetInterval_Oord__class_OatLeastAtMost(x,y,u),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))** -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)).
% 300.12/300.65 27268[0:SpR:13604.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(v,c_False)) hBOOL(c_in(hAPP(c_Set_Oinsert(w,tc_bool),v),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OInf__class_OInf(tc_bool),y,u)))*.
% 300.12/300.65 27267[0:SpR:13604.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(v,c_False)) hBOOL(c_in(hAPP(c_Set_Oinsert(w,tc_bool),v),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OInf__class_OInf(tc_bool),y,u)),c_False))*.
% 300.12/300.65 27866[0:SpL:13526.1,331.1] || hBOOL(u) hBOOL(c_in(c_COMBK(u,v,w),x,y))* hBOOL(c_in(z,c_False,x1)) -> hBOOL(c_in(z,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OInf__class_OInf(tc_bool),y,tc_fun(x1,tc_bool)),x1))*.
% 300.12/300.65 27855[0:SpL:9868.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* hBOOL(c_in(x,y,z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27854[0:SpL:8987.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* hBOOL(c_in(x,y,z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27853[0:SpL:9635.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* hBOOL(c_in(x,y,z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27852[0:SpL:8814.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* hBOOL(c_in(x,y,z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27842[0:SpL:13730.1,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* hBOOL(c_in(x,c_False,y)) -> equal(u,c_False) hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27805[0:SpL:20174.0,331.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),u),v),w,x))* hBOOL(c_in(y,c_Orderings_Otop__class_Otop(tc_bool),z)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27761[0:SpL:714.1,331.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_fequal(u),v),w,x))* hBOOL(c_in(y,v,z))* -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(u),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27760[0:SpL:710.1,331.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_fequal(u),v),w,x))* hBOOL(c_in(y,v,z))* -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(u),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27700[0:SpL:367.1,331.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) hBOOL(c_in(x,y,z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27698[0:SpL:12280.1,331.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) hBOOL(c_in(x,y,z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27692[0:SpL:677.0,331.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) hBOOL(c_in(x,y,z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(y,tc_fun(u,tc_bool)),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27691[0:SpL:540.1,331.1] class_Orderings_Obot(u) || hBOOL(c_in(v_x,v,w)) hBOOL(c_in(x,c_Orderings_Obot__class_Obot(u),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27690[0:SpL:443.1,331.1] class_Orderings_Otop(u) || hBOOL(c_in(v_x,v,w)) hBOOL(c_in(x,c_Orderings_Otop__class_Otop(u),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27684[0:SpL:19.1,331.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) hBOOL(c_in(x,y,z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27682[0:SpL:12562.1,331.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) hBOOL(c_in(x,y,z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27676[0:SpL:678.0,331.1] || hBOOL(c_in(u,v,w)) hBOOL(c_in(x,c_COMBK(c_False,tc_bool,y),z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(u,tc_fun(y,tc_bool)),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27653[0:SpL:18.1,331.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x))* hBOOL(c_in(y,v,z))* -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27650[0:SpL:366.1,331.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x))* hBOOL(c_in(y,v,z))* -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27640[0:SpL:712.1,331.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x))* hBOOL(c_in(y,c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),z))* -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_fequal(u),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 28334[0:SpL:28266.1,331.1] || equal(c_False,u) hBOOL(c_in(v,w,x))* hBOOL(c_in(y,u,z)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 28714[0:SpL:326.1,4686.0] || hBOOL(c_in(u,v,w))* hBOOL(hAPP(c_Set_Oimage(x,w,y),v))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),z,x1),c_Set_Oinsert(hAPP(x,u),y)),c_False))*.
% 300.12/300.65 28680[0:SpR:13495.1,326.1] || hBOOL(hAPP(u,c_False)) hBOOL(c_in(u,v,w))* -> equal(hAPP(c_Set_Oinsert(c_False,x),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v)),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x),v))**.
% 300.12/300.65 28667[0:SpR:19877.0,326.1] || hBOOL(c_in(hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,v)) -> equal(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u)),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),u))**.
% 300.12/300.65 28598[0:SpR:20155.0,326.1] || hBOOL(c_in(hAPP(c_fequal(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> equal(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),x),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v)),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v))**.
% 300.12/300.65 28523[0:SpR:12550.0,326.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) -> equal(hAPP(c_Set_Oinsert(w,x),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v,x),u)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v,x),u))**.
% 300.12/300.65 28450[0:SpR:24543.0,326.1] || hBOOL(c_in(u,v,w))* -> equal(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),x),hAPP(c_Set_Oimage(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),w,x),v)),hAPP(c_Set_Oimage(c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),w,x),v))**.
% 300.12/300.65 28783[0:SpL:28267.1,331.1] || equal(c_False,u) hBOOL(c_in(u,v,w))* hBOOL(c_in(x,u,y))* -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),z),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 28872[0:SpL:28268.1,331.1] || equal(c_False,u) hBOOL(c_in(u,v,w))* hBOOL(c_in(x,y,z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 29002[0:SpL:28269.1,331.1] || equal(c_False,u) hBOOL(c_in(v,w,x))* hBOOL(c_in(y,v,z))* -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 29553[0:SpL:29202.1,331.1] || equal(c_False,u) hBOOL(c_in(v,w,x))* hBOOL(c_in(y,c_False,z)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OgreaterThanAtMost(x1,u,tc_bool),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 30343[0:SpR:13495.1,159.0] || hBOOL(hAPP(u,c_False)) -> equal(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Fun_Ofun__upd(v,w,u,x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,y,z,x),w,c_False,x,z))*.
% 300.12/300.65 30330[0:SpR:19877.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Fun_Ofun__upd(u,v,hAPP(c_fequal(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),w,x),x,y,w),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,x,y,w),v,c_Orderings_Otop__class_Otop(tc_bool),w,y))*.
% 300.12/300.65 30261[0:SpR:20155.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Fun_Ofun__upd(u,v,hAPP(c_fequal(w),c_Orderings_Otop__class_Otop(tc_bool)),x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,y,z,x),v,c_Orderings_Otop__class_Otop(tc_bool),x,z))*.
% 300.12/300.65 30183[0:SpR:12550.0,159.0] || -> equal(c_Fun_Ocomp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),c_Fun_Ofun__upd(v,w,c_Orderings_Otop__class_Otop(tc_bool),x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,y,z,x),w,u,x,z))*.
% 300.12/300.65 30109[0:SpR:24543.0,159.0] || -> equal(c_Fun_Ocomp(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),c_Fun_Ofun__upd(v,w,x,y,z),z,x1,y),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,z,x1,y),w,c_Orderings_Otop__class_Otop(tc_bool),y,x1))*.
% 300.12/300.65 30045[0:SpR:928.1,159.0] class_Orderings_Obot(u) || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(v,c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),w,x,y),v_x,hAPP(v,c_Orderings_Obot__class_Obot(u)),y,x),c_Fun_Ocomp(v,c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),w,x,y))**.
% 300.12/300.65 30044[0:SpR:925.1,159.0] class_Orderings_Otop(u) || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(v,c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),w,x,y),v_x,hAPP(v,c_Orderings_Otop__class_Otop(u)),y,x),c_Fun_Ocomp(v,c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),w,x,y))**.
% 300.12/300.65 30458[0:SpL:29751.1,331.1] || equal(c_False,u) hBOOL(c_in(v,w,x))* hBOOL(c_in(y,c_False,z)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OatLeastLessThan(x1,u,tc_bool),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 30571[0:SpL:29192.1,461.0] || equal(c_False,u) equal(hAPP(v,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y)* -> equal(hAPP(hAPP(w,v),c_SetInterval_Oord__class_OgreaterThanAtMost(z,u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(z,u,tc_bool))**.
% 300.12/300.65 30544[0:SpR:29192.1,405.0] || equal(c_False,u) -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,u,tc_bool),v),y)),hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),y)))*.
% 300.12/300.65 30691[0:Res:156.1,483.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x)))* hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),x),v)).
% 300.12/300.65 30690[0:Res:518.1,483.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x)))* hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),x),v)).
% 300.12/300.65 30744[0:SpL:29740.1,461.0] || equal(c_False,u) equal(hAPP(v,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y)* -> equal(hAPP(hAPP(w,v),c_SetInterval_Oord__class_OatLeastLessThan(z,u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(z,u,tc_bool))**.
% 300.12/300.65 30717[0:SpR:29740.1,405.0] || equal(c_False,u) -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,u,tc_bool),v),y)),hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),y)))*.
% 300.12/300.65 31707[0:Res:156.1,482.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x)))* hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),v)).
% 300.12/300.65 31706[0:Res:518.1,482.0] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x)))* hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),v)).
% 300.12/300.65 31717[0:SSi:31666.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,tc_fun(u,tc_bool)),w))),x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),x)).
% 300.12/300.65 33057[0:Res:733.1,59.1] class_Orderings_Oorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OatLeastLessThan(x,v,u))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),w))*.
% 300.12/300.65 33056[0:Res:734.1,59.1] class_Orderings_Oorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(x,v,u),c_COMBK(c_False,tc_bool,u))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),w))*.
% 300.12/300.65 33045[0:Res:533.1,59.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_False)) hBOOL(hAPP(hAPP(c_lessequals(u),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(u),v))),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)).
% 300.12/300.65 34503[0:Res:724.1,58.1] class_Orderings_Oorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(x,v,u),c_COMBK(c_False,tc_bool,u))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),w))*.
% 300.12/300.65 34502[0:Res:450.2,58.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w)** hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))*.
% 300.12/300.65 34501[0:Res:165.2,58.1] class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v)** hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))*.
% 300.12/300.65 34475[0:Res:457.2,58.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || hBOOL(c_in(v,w,u))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),w)),x))*.
% 300.12/300.65 34473[0:Res:516.2,58.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || hBOOL(c_in(v,w,u))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(c_Complete__Lattice_OSup__class_OSup(u),w)),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))*.
% 300.12/300.65 34459[0:Res:533.1,58.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(u),v))),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)).
% 300.12/300.65 34523[0:SSi:34499.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w)** hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),w),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),x))*.
% 300.12/300.65 34870[0:Res:724.1,485.1] class_Orderings_Oorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(x,v,u),c_COMBK(c_False,tc_bool,u))* hBOOL(hAPP(hAPP(c_lessequals(u),x),w))*.
% 300.12/300.65 34869[0:Res:450.2,485.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Opreorder(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w)** hBOOL(hAPP(hAPP(c_lessequals(u),w),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x))*.
% 300.12/300.65 34868[0:Res:165.2,485.1] class_Lattices_Olower__semilattice(u) class_Orderings_Opreorder(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v)** hBOOL(hAPP(hAPP(c_lessequals(u),w),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x))*.
% 300.12/300.65 34841[0:Res:457.2,485.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || hBOOL(c_in(v,w,u))* hBOOL(hAPP(hAPP(c_lessequals(u),v),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),w)),x))*.
% 300.12/300.65 34839[0:Res:516.2,485.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || hBOOL(c_in(v,w,u))* hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OSup__class_OSup(u),w)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x))*.
% 300.12/300.65 34825[0:Res:533.1,485.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)) hBOOL(hAPP(hAPP(c_lessequals(u),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(u),v))),w))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),w)).
% 300.12/300.65 34879[0:SSi:34866.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w)** hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),x))*.
% 300.12/300.65 34937[0:SpL:29198.1,352.0] || equal(c_False,u) hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OInf__class_OInf(tc_bool),y,tc_fun(z,tc_bool)),v))*.
% 300.12/300.65 34892[0:SpR:29198.1,265.1] || equal(c_False,u) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool))))*.
% 300.12/300.65 34891[0:SpR:29198.1,435.1] || equal(c_False,u) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 35031[0:SpL:29746.1,352.0] || equal(c_False,u) hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OInf__class_OInf(tc_bool),y,tc_fun(z,tc_bool)),v))*.
% 300.12/300.65 34986[0:SpR:29746.1,265.1] || equal(c_False,u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool))))*.
% 300.12/300.65 34985[0:SpR:29746.1,435.1] || equal(c_False,u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 35145[0:Res:733.1,145.1] class_Orderings_Oorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> equal(c_COMBK(c_False,tc_bool,u),c_SetInterval_Oord__class_OatLeastLessThan(x,v,u))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),w))*.
% 300.12/300.65 35144[0:Res:734.1,145.1] class_Orderings_Oorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(x,v,u),c_COMBK(c_False,tc_bool,u))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),w))*.
% 300.12/300.65 35133[0:Res:533.1,145.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_False)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(u),v))),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w)).
% 300.12/300.65 35264[0:SpL:28358.1,352.0] || equal(c_False,u) hBOOL(hAPP(u,v))* hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),w),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OInf__class_OInf(tc_bool),y,tc_fun(z,tc_bool)),v))*.
% 300.12/300.65 35217[0:SpR:28358.1,265.1] || equal(c_False,u) hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool))))*.
% 300.12/300.65 35216[0:SpR:28358.1,435.1] || equal(c_False,u) hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool))),u))*.
% 300.12/300.65 35294[0:SpL:35239.1,461.0] || equal(c_False,u) equal(hAPP(v,u),u) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,y)* -> equal(hAPP(hAPP(w,v),hAPP(c_fequal(tc_bool),u)),hAPP(c_fequal(tc_bool),u))**.
% 300.12/300.65 35284[0:SpR:35239.1,405.0] || equal(c_False,u) -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_fequal(tc_bool),u),v),x)),hAPP(c_Set_Oinsert(u,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),x)))*.
% 300.12/300.65 35323[0:SpL:35267.1,461.0] || equal(c_False,u) equal(hAPP(v,u),u) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,y)* -> equal(hAPP(hAPP(w,v),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool))**.
% 300.12/300.65 35312[0:SpR:35267.1,405.0] || equal(c_False,u) -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),v),x)),hAPP(c_Set_Oinsert(u,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),x)))*.
% 300.12/300.65 35392[0:Res:450.2,52.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w)** hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),w))*.
% 300.12/300.65 35391[0:Res:165.2,52.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v)** hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),w))*.
% 300.12/300.65 35364[0:Res:457.2,52.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),hAPP(c_Complete__Lattice_OInf__class_OInf(u),w)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),v))*.
% 300.12/300.65 35362[0:Res:516.2,52.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),hAPP(c_Complete__Lattice_OSup__class_OSup(u),w)))*.
% 300.12/300.65 35348[0:Res:533.1,52.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(u),v))))*.
% 300.12/300.65 35405[0:SSi:35389.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w)** hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),x),v))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),x),w))*.
% 300.12/300.65 35654[0:Res:533.1,51.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_False)) hBOOL(hAPP(hAPP(c_lessequals(u),w),v)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(u),v))))*.
% 300.12/300.65 35936[0:Res:450.2,484.1] class_Lattices_Oupper__semilattice(u) class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w)** hBOOL(hAPP(hAPP(c_lessequals(u),x),v))* -> hBOOL(hAPP(hAPP(c_lessequals(u),x),w))*.
% 300.12/300.65 35935[0:Res:165.2,484.1] class_Lattices_Olower__semilattice(u) class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v)** hBOOL(hAPP(hAPP(c_lessequals(u),x),v))* -> hBOOL(hAPP(hAPP(c_lessequals(u),x),w))*.
% 300.12/300.65 35908[0:Res:457.2,484.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u))* hBOOL(hAPP(hAPP(c_lessequals(u),x),hAPP(c_Complete__Lattice_OInf__class_OInf(u),w)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),x),v))*.
% 300.12/300.65 35906[0:Res:516.2,484.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u))* hBOOL(hAPP(hAPP(c_lessequals(u),x),v))* -> hBOOL(hAPP(hAPP(c_lessequals(u),x),hAPP(c_Complete__Lattice_OSup__class_OSup(u),w)))*.
% 300.12/300.65 35892[0:Res:533.1,484.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_False)) hBOOL(hAPP(hAPP(c_lessequals(u),w),v)) -> hBOOL(hAPP(hAPP(c_lessequals(u),w),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_lessequals(u),v))))*.
% 300.12/300.65 35951[0:SSi:35933.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),w)** hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),x),v))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),x),w))*.
% 300.12/300.65 36116[0:Res:533.1,148.1] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_False)) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),v)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),w),c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_HOL_Oord__class_Oless(u),v))))*.
% 300.12/300.65 36498[0:SpL:242.1,369.1] class_Lattices_Oupper__semilattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),c_Orderings_Obot__class_Obot(u))** -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),c_Orderings_Obot__class_Obot(u)).
% 300.12/300.65 36589[0:SSi:36475.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)),x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),x))**.
% 300.12/300.65 36596[0:SSi:36367.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),y)),x))*.
% 300.12/300.65 36881[0:SpL:25.1,21.1] class_Lattices_Olower__semilattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),c_Orderings_Otop__class_Otop(u))** -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),c_Orderings_Otop__class_Otop(u)).
% 300.12/300.65 36964[0:SSi:36884.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),x)),y))* -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),y)).
% 300.12/300.65 37018[0:SpR:20230.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,w),hAPP(c_fequal(w),c_Orderings_Otop__class_Otop(tc_bool))),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,u)))*.
% 300.12/300.65 37017[0:SpR:20230.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,w),hAPP(c_fequal(w),c_Orderings_Otop__class_Otop(tc_bool))),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 37227[0:SpL:239.1,369.1] class_Lattices_Olattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),c_Orderings_Obot__class_Obot(u))** -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),c_Orderings_Obot__class_Obot(u)).
% 300.12/300.65 37420[0:SpR:335.1,26165.1] class_HOL_Ominus(u) || hBOOL(c_in(v_x,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(t_a,u)),w),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),hAPP(c_HOL_Ominus__class_Ominus(hAPP(v,v_x),u),hAPP(w,v_x))))*.
% 300.12/300.65 37608[0:SpL:128.1,21.1] class_Lattices_Olattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),c_Orderings_Otop__class_Otop(u))** -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),c_Orderings_Otop__class_Otop(u)).
% 300.12/300.65 38073[0:SpL:241.1,370.1] class_Lattices_Oupper__semilattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),c_Orderings_Obot__class_Obot(u))** -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x),c_Orderings_Obot__class_Obot(u)).
% 300.12/300.65 38235[0:SSi:38025.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),x))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v))**.
% 300.12/300.65 38244[0:SSi:37864.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),x)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),w)),x))*.
% 300.12/300.65 38602[0:SpL:126.1,22.1] class_Lattices_Olower__semilattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),c_Orderings_Otop__class_Otop(u))** -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x),c_Orderings_Otop__class_Otop(u)).
% 300.12/300.65 38756[0:SSi:38603.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),x)),y))* -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),x),y)).
% 300.12/300.65 39237[0:SpL:240.1,370.1] class_Lattices_Olattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),c_Orderings_Obot__class_Obot(u))** -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x),c_Orderings_Obot__class_Obot(u)).
% 300.12/300.65 39774[0:SpL:127.1,22.1] class_Lattices_Olattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),c_Orderings_Otop__class_Otop(u))** -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x),c_Orderings_Otop__class_Otop(u)).
% 300.12/300.65 40145[0:Res:793.0,1814.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),x,y,t_a)),t_a)* hBOOL(hAPP(w,v_sko__Hoare__Mirabelle__Xescape__2(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),y,x)))*.
% 300.12/300.65 40141[0:Res:793.0,4686.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v,w,x,t_a)),t_a) hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),y,z),hAPP(v,v_sko__Hoare__Mirabelle__Xescape__1(u,v,x,w))),c_False))*.
% 300.12/300.65 40112[0:SpR:28266.1,793.0] || equal(c_False,u) -> hBOOL(hAPP(u,v_sko__Hoare__Mirabelle__Xescape__2(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w,x)))* c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x,w,t_a)),t_a)*.
% 300.12/300.65 40079[0:SpR:29202.1,793.0] || equal(c_False,u) -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xescape__2(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool),x,y))) c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool),y,x,t_a)),t_a)*.
% 300.12/300.65 40077[0:SpR:29751.1,793.0] || equal(c_False,u) -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xescape__2(v,c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool),x,y))) c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool),y,x,t_a)),t_a)*.
% 300.12/300.65 40381[0:Res:792.0,1814.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),x,y,t_a)),t_a)* hBOOL(hAPP(w,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),y,x)))*.
% 300.12/300.65 40377[0:Res:792.0,4686.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v,w,x,t_a)),t_a) hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),y,z),hAPP(v,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(u,v,x,w))),c_False))*.
% 300.12/300.65 40348[0:SpR:28266.1,792.0] || equal(c_False,u) -> hBOOL(hAPP(u,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w,x)))* c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x,w,t_a)),t_a)*.
% 300.12/300.65 40315[0:SpR:29202.1,792.0] || equal(c_False,u) -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool),x,y))) c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool),y,x,t_a)),t_a)*.
% 300.12/300.65 40313[0:SpR:29751.1,792.0] || equal(c_False,u) -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(v,c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool),x,y))) c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool),y,x,t_a)),t_a)*.
% 300.12/300.65 40582[0:Res:791.0,1814.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),x,y,t_a)),t_a)* hBOOL(hAPP(w,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),y,x)))*.
% 300.12/300.65 40578[0:Res:791.0,4686.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v,w,x,t_a)),t_a) hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),y,z),hAPP(v,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(u,v,x,w))),c_False))*.
% 300.12/300.65 40549[0:SpR:28266.1,791.0] || equal(c_False,u) -> hBOOL(hAPP(u,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w,x)))* c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x,w,t_a)),t_a)*.
% 300.12/300.65 40516[0:SpR:29202.1,791.0] || equal(c_False,u) -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v,c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool),x,y))) c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OgreaterThanAtMost(w,u,tc_bool),y,x,t_a)),t_a)*.
% 300.12/300.65 40514[0:SpR:29751.1,791.0] || equal(c_False,u) -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v,c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool),x,y))) c_Hoare__Mirabelle_Ohoare__derivs(v,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OatLeastLessThan(w,u,tc_bool),y,x,t_a)),t_a)*.
% 300.12/300.65 41088[0:SpL:131.1,4436.0] || equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(u,v,w,x,y),z,x1,x,y),c_Fun_Ofun__upd(c_Fun_Ofun__upd(u,z,x2,x,y),v,w,x,y))* -> equal(z,v) equal(x2,x1).
% 300.12/300.65 41081[0:SpR:20279.0,131.1] || -> equal(u,hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v,w,x),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),c_Orderings_Otop__class_Otop(tc_bool),w,x),c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v,w,x))**.
% 300.12/300.65 41068[0:SpR:910.1,131.1] class_Lattices_Olower__semilattice(u) || -> equal(v,w) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v,x,y,z),w,w,y,z),c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v,x,y,z))**.
% 300.12/300.65 41067[0:SpR:1975.1,131.1] class_Lattices_Olattice(u) || -> equal(v,w) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v,x,y,z),w,w,y,z),c_Fun_Ofun__upd(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v,x,y,z))**.
% 300.12/300.65 41066[0:SpR:908.1,131.1] class_Lattices_Oupper__semilattice(u) || -> equal(v,w) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v,x,y,z),w,w,y,z),c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v,x,y,z))**.
% 300.12/300.65 41065[0:SpR:1945.1,131.1] class_Lattices_Olattice(u) || -> equal(v,w) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v,x,y,z),w,w,y,z),c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v,x,y,z))**.
% 300.12/300.65 41058[0:SpR:20337.0,131.1] || -> equal(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v)) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,w,x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),c_Orderings_Otop__class_Otop(tc_bool),x,y),c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,w,x,y))**.
% 300.12/300.65 41057[0:SpR:20322.0,131.1] || -> equal(u,hAPP(c_lessequals(tc_bool),v)) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,w,x,y),hAPP(c_lessequals(tc_bool),v),c_Orderings_Otop__class_Otop(tc_bool),x,y),c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,w,x,y))**.
% 300.12/300.65 41056[0:SpR:9926.0,131.1] || -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,w,x,y),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),c_Orderings_Otop__class_Otop(tc_bool),x,y),c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,w,x,y))**.
% 300.12/300.65 41055[0:SpR:9035.0,131.1] || -> equal(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,w,x,y),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool),c_Orderings_Otop__class_Otop(tc_bool),x,y),c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,w,x,y))**.
% 300.12/300.65 41054[0:SpR:9692.0,131.1] || -> equal(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,w,x,y),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),c_Orderings_Otop__class_Otop(tc_bool),x,y),c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,w,x,y))**.
% 300.12/300.65 41053[0:SpR:8861.0,131.1] || -> equal(u,c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,w,x,y),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool),c_Orderings_Otop__class_Otop(tc_bool),x,y),c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,w,x,y))**.
% 300.12/300.65 41040[0:SpR:20294.0,131.1] || -> equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,w,x,y),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool),x,y),c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,w,x,y))**.
% 300.12/300.65 41194[0:Res:402.1,528.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w))* c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(u)),v),y,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(u)),w),y,u)*.
% 300.12/300.65 41193[0:Res:402.1,527.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v),w))* c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(c_Set_Oinsert(y,tc_Hoare__Mirabelle_Otriple(u)),w),u)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(c_Set_Oinsert(y,tc_Hoare__Mirabelle_Otriple(u)),v),u)*.
% 300.12/300.65 41950[0:SpL:13517.0,204.0] || hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),w),v))* c_Fun_Oinj__on(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,v)* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),w,u))*.
% 300.12/300.65 41945[0:SpL:12731.0,204.0] || hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),w),v))* c_Fun_Oinj__on(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,v)* -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),w,u)).
% 300.12/300.65 41931[0:SpL:13510.0,204.0] || hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),w),v))* c_Fun_Oinj__on(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,v)* -> hBOOL(c_in(hAPP(c_lessequals(tc_bool),c_False),w,u)).
% 300.12/300.65 41930[0:SpL:12718.0,204.0] || hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),w),v))* c_Fun_Oinj__on(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,v)* -> hBOOL(c_in(hAPP(c_fequal(tc_bool),c_False),w,u)).
% 300.12/300.65 41892[0:SpL:15484.0,204.0] || hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),w),v))* c_Fun_Oinj__on(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,v)* -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),w,u)).
% 300.12/300.65 41855[0:SpL:15481.0,204.0] || hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),w),v))* c_Fun_Oinj__on(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,v)* -> hBOOL(c_in(hAPP(c_fequal(tc_bool),c_False),w,u)).
% 300.12/300.65 41844[0:SpL:8998.0,204.0] || hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),w),v))* c_Fun_Oinj__on(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,v)* -> hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool),w,u))*.
% 300.12/300.65 41843[0:SpL:5331.0,204.0] || hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),w),v))* c_Fun_Oinj__on(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,v)* -> hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool),w,u))*.
% 300.12/300.65 41841[0:SpL:8825.0,204.0] || hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),w),v))* c_Fun_Oinj__on(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,v)* -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool),w,u))*.
% 300.12/300.65 41840[0:SpL:5198.0,204.0] || hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),w),v))* c_Fun_Oinj__on(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,v)* -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool),w,u))*.
% 300.12/300.65 41719[0:SpL:19460.0,204.0] || hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),x),w))* c_Fun_Oinj__on(c_HOL_Ominus__class_Ominus(u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),v,w)* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),x,v)).
% 300.12/300.65 42073[0:Rew:149.0,42066.2] || hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(u,v,w),x),y,w,tc_fun(z,tc_bool)),x1))* hBOOL(c_in(x2,x,v))* -> hBOOL(hAPP(hAPP(y,hAPP(u,x2)),x1))*.
% 300.12/300.65 42074[0:Rew:149.0,42047.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(y,w,z),v),x1,z,tc_fun(x,tc_bool))),hAPP(x1,hAPP(y,u))))*.
% 300.12/300.65 42174[0:Rew:149.0,42148.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(y,hAPP(z,u))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oimage(z,w,x1),v),y,x1,tc_fun(x,tc_bool))))*.
% 300.12/300.65 42628[0:SpR:335.1,26440.1] class_HOL_Ominus(u) || hBOOL(c_in(v_x,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(t_a,u)),w),t_a)) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_HOL_Ominus__class_Ominus(hAPP(v,v_x),u),hAPP(w,v_x))),x))*.
% 300.12/300.65 42981[0:SpL:794.0,284.0] || hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_Set_Oinsert(x,w),y)),w))* -> hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_fequal(w),x)),w)).
% 300.12/300.65 42978[0:SpL:794.0,135.1] || c_Finite__Set_Ofinite(u,v) c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(x,v),u)),v)* -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),hAPP(c_fequal(v),x)),v).
% 300.12/300.65 42952[0:SpR:794.0,137.1] || c_Fun_Oinj__on(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_fequal(w),x)),w,y) -> c_Fun_Oinj__on(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_Set_Oinsert(x,w),z)),w,y)*.
% 300.12/300.65 43480[0:SpL:9869.0,328.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),hAPP(c_fequal(tc_bool),v)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)))* hBOOL(c_in(v,u,tc_bool)).
% 300.12/300.65 43479[0:SpL:8988.0,328.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),hAPP(c_fequal(tc_bool),v)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)))* hBOOL(c_in(v,u,tc_bool)).
% 300.12/300.65 43478[0:SpL:9636.0,328.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),hAPP(c_fequal(tc_bool),v)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)))* hBOOL(c_in(v,u,tc_bool)).
% 300.12/300.65 43477[0:SpL:8815.0,328.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),hAPP(c_fequal(tc_bool),v)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)))* hBOOL(c_in(v,u,tc_bool)).
% 300.12/300.65 43463[0:SpL:699.0,328.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_fequal(u),w)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_COMBK(c_False,tc_bool,u))) hBOOL(c_in(w,v,u)).
% 300.12/300.65 43724[0:SpL:356.1,284.0] || hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(w,tc_bool)),y)),w))* -> hBOOL(c_in(v,y,w)) hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),x),w)).
% 300.12/300.65 43721[0:SpL:356.1,135.1] || c_Finite__Set_Ofinite(u,v) c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(w,v),hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(v,tc_bool)),u)),v)* -> hBOOL(c_in(w,u,v)) c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(w,v),x),v).
% 300.12/300.65 43693[0:SpR:2659.0,356.1] || -> hBOOL(c_in(u,v,w)) equal(hAPP(c_Set_Oinsert(u,w),hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),tc_fun(w,tc_bool)),v)),hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)),tc_fun(w,tc_bool)),v))**.
% 300.12/300.65 43691[0:SpR:418.1,356.1] || hBOOL(c_in(u,v,w)) -> hBOOL(c_in(u,x,w)) equal(hAPP(c_Set_Oinsert(u,w),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x))**.
% 300.12/300.65 43677[0:SpR:356.1,137.1] || c_Fun_Oinj__on(u,hAPP(c_Set_Oinsert(v,w),x),w,y) -> hBOOL(c_in(v,z,w)) c_Fun_Oinj__on(u,hAPP(c_Set_Oinsert(v,w),hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(w,tc_bool)),z)),w,y)*.
% 300.12/300.65 43761[0:SpR:13719.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),w,x))* -> equal(v,c_False) hBOOL(hAPP(hAPP(c_lessequals(u),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),x,u)))*.
% 300.12/300.65 43760[0:SpR:13719.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),w,x))* -> equal(v,c_False) hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),x,u)),y))*.
% 300.12/300.65 44565[0:SpL:456.0,8163.0] || equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(u,v),w),x,v,tc_fun(tc_Hoare__Mirabelle_Otriple(y),tc_bool)),hAPP(x,u))** -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(x,u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,x,v,tc_fun(tc_Hoare__Mirabelle_Otriple(y),tc_bool)),y)*.
% 300.12/300.65 44544[0:SpR:14872.0,456.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(c_False,u),v),c_HOL_Ominus__class_Ominus(w,tc_bool),u,tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(w,tc_bool),u,tc_fun(x,tc_bool))))*.
% 300.12/300.65 44286[0:SpR:14632.0,456.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(u,v),w),c_HOL_Ominus__class_Ominus(u,tc_bool),v,tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Ominus__class_Ominus(u,tc_bool),v,tc_fun(x,tc_bool))))*.
% 300.12/300.65 44285[0:SpR:14531.0,456.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(u,v),w),c_HOL_Ominus__class_Ominus(c_False,tc_bool),v,tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Ominus__class_Ominus(c_False,tc_bool),v,tc_fun(x,tc_bool))))*.
% 300.12/300.65 44221[0:SpR:2659.0,456.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(v,w)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),v,x,tc_fun(u,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),v,x,tc_fun(u,tc_bool)))**.
% 300.12/300.65 44170[0:SpR:456.0,248.0] || -> hBOOL(c_in(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(u,v),w),x,v,tc_fun(y,tc_bool)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),hAPP(x,u)),z,x1),c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool))),x1))*.
% 300.12/300.65 44624[0:SpL:44156.1,461.0] || equal(c_False,u) equal(hAPP(v,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,y)* -> equal(hAPP(hAPP(w,v),hAPP(c_lessequals(tc_bool),u)),hAPP(c_lessequals(tc_bool),u))**.
% 300.12/300.65 44615[0:SpR:44156.1,405.0] || equal(c_False,u) -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_bool),u),v),x)),hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),x)))*.
% 300.12/300.65 44826[0:SpL:25.1,44668.0] class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),c_False)),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),tc_bool),c_False).
% 300.12/300.65 44825[0:SpL:128.1,44668.0] class_Lattices_Olattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),c_False)),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),tc_bool),c_False).
% 300.12/300.65 44809[0:SpL:242.1,44668.0] class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),c_False)),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),tc_bool),c_False).
% 300.12/300.65 44808[0:SpL:239.1,44668.0] class_Lattices_Olattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),c_False)),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),tc_bool),c_False).
% 300.12/300.65 45310[0:SpR:28268.1,87.2] || equal(c_False,u) c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v,w,u,x,y)* -> hBOOL(c_in(z,w,x)) c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v,hAPP(c_Set_Oinsert(z,x),w),z,x,y)*.
% 300.12/300.65 45309[0:SpR:28267.1,87.2] || equal(c_False,u) c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w,u,x,y) -> hBOOL(c_in(z,w,x)) c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,hAPP(c_Set_Oinsert(z,x),w),u,x,y)*.
% 300.12/300.65 45306[0:SpR:28266.1,87.2] || equal(c_False,u) c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,w,x,y,z)* -> hBOOL(c_in(u,w,y)) c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v,hAPP(c_Set_Oinsert(u,y),w),u,y,z)*.
% 300.12/300.65 45303[0:SpR:28269.1,87.2] || equal(c_False,u) c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v,w,x,y,z) -> hBOOL(c_in(u,w,y)) c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v,hAPP(c_Set_Oinsert(u,y),w),x,y,z)*.
% 300.12/300.65 45242[0:SpR:367.1,87.2] class_Lattices_Obounded__lattice(u) || c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(u),v,w,c_Orderings_Obot__class_Obot(u),x,y)* -> hBOOL(c_in(z,w,x)) c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(u),v,hAPP(c_Set_Oinsert(z,x),w),z,x,y)*.
% 300.12/300.65 45240[0:SpR:12280.1,87.2] class_Complete__Lattice_Ocomplete__lattice(u) || c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(u),v,w,c_Orderings_Obot__class_Obot(u),x,y)* -> hBOOL(c_in(z,w,x)) c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(u),v,hAPP(c_Set_Oinsert(z,x),w),z,x,y)*.
% 300.12/300.65 45239[0:SpR:19.1,87.2] class_Lattices_Obounded__lattice(u) || c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(u),v,w,c_Orderings_Otop__class_Otop(u),x,y)* -> hBOOL(c_in(z,w,x)) c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(u),v,hAPP(c_Set_Oinsert(z,x),w),z,x,y)*.
% 300.12/300.65 45237[0:SpR:12562.1,87.2] class_Complete__Lattice_Ocomplete__lattice(u) || c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(u),v,w,c_Orderings_Otop__class_Otop(u),x,y)* -> hBOOL(c_in(z,w,x)) c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(u),v,hAPP(c_Set_Oinsert(z,x),w),z,x,y)*.
% 300.12/300.65 45221[0:SpR:256.0,87.2] || c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v,w,x,y,z) -> hBOOL(c_in(x,w,y)) c_Finite__Set_Ofold__graph(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v,hAPP(c_Set_Oinsert(x,y),w),x,y,z)*.
% 300.12/300.65 45216[0:SpR:14872.0,87.2] || c_Finite__Set_Ofold__graph(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w,x,y,z) -> hBOOL(c_in(c_False,w,y)) c_Finite__Set_Ofold__graph(c_HOL_Ominus__class_Ominus(u,tc_bool),v,hAPP(c_Set_Oinsert(c_False,y),w),hAPP(u,x),y,z)*.
% 300.12/300.65 44956[0:SpR:14632.0,87.2] || c_Finite__Set_Ofold__graph(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w,x,y,z) -> hBOOL(c_in(u,w,y)) c_Finite__Set_Ofold__graph(c_HOL_Ominus__class_Ominus(u,tc_bool),v,hAPP(c_Set_Oinsert(u,y),w),hAPP(c_False,x),y,z)*.
% 300.12/300.65 44955[0:SpR:14531.0,87.2] || c_Finite__Set_Ofold__graph(c_HOL_Ominus__class_Ominus(c_False,tc_bool),u,v,w,x,y) -> hBOOL(c_in(z,v,x)) c_Finite__Set_Ofold__graph(c_HOL_Ominus__class_Ominus(c_False,tc_bool),u,hAPP(c_Set_Oinsert(z,x),v),hAPP(c_False,w),x,y)*.
% 300.12/300.65 45470[0:SSi:45453.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),v)** hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),w),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),x))*.
% 300.12/300.65 45690[0:SSi:45679.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),v)** hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),x))*.
% 300.12/300.65 45879[0:Res:470.2,453.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) hBOOL(c_in(x,w,u)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),hAPP(c_Set_Oinsert(x,u),v)),w)**.
% 300.12/300.65 45997[0:SpR:9870.0,513.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),hAPP(c_Set_Oimage(x,tc_bool,w),u)),c_COMBK(c_False,tc_bool,w)))*.
% 300.12/300.65 45996[0:SpR:8989.0,513.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),hAPP(c_Set_Oimage(x,tc_bool,w),u)),c_COMBK(c_False,tc_bool,w)))*.
% 300.12/300.65 45995[0:SpR:9637.0,513.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),hAPP(c_Set_Oimage(x,tc_bool,w),u)),c_COMBK(c_False,tc_bool,w)))*.
% 300.12/300.65 45994[0:SpR:8816.0,513.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),u),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),hAPP(c_Set_Oimage(x,tc_bool,w),u)),c_COMBK(c_False,tc_bool,w)))*.
% 300.12/300.65 45990[0:SpR:691.0,513.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_COMBK(c_False,tc_bool,u)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),hAPP(c_Set_Oimage(x,u,w),v)),c_COMBK(c_False,tc_bool,w)))*.
% 300.12/300.65 46183[0:SpL:34556.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v)) hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),w))*.
% 300.12/300.65 46113[0:SpR:34556.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),y)) hBOOL(hAPP(hAPP(c_lessequals(u),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),y),x,u)))*.
% 300.12/300.65 46112[0:SpR:34556.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),y)) hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),y),x,u)),y))*.
% 300.12/300.65 46263[0:SSi:46155.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))**.
% 300.12/300.65 46445[0:SpR:104.2,7115.0] class_Orderings_Olinorder(tc_Hoare__Mirabelle_Otriple(u)) || hBOOL(hAPP(hAPP(c_lessequals(tc_Hoare__Mirabelle_Otriple(u)),v),w)) -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(x,tc_Hoare__Mirabelle_Otriple(u)),c_SetInterval_Oord__class_OatLeastLessThan(v,y,tc_Hoare__Mirabelle_Otriple(u))),c_SetInterval_Oord__class_OatLeastLessThan(w,y,tc_Hoare__Mirabelle_Otriple(u)),u)*.
% 300.12/300.65 46443[0:SpR:104.2,1441.1] class_Orderings_Olinorder(tc_Hoare__Mirabelle_Otriple(u)) || hBOOL(hAPP(hAPP(c_lessequals(tc_Hoare__Mirabelle_Otriple(u)),v),w))* c_Hoare__Mirabelle_Ohoare__derivs(x,c_SetInterval_Oord__class_OatLeastLessThan(v,y,tc_Hoare__Mirabelle_Otriple(u)),u)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,c_SetInterval_Oord__class_OatLeastLessThan(w,y,tc_Hoare__Mirabelle_Otriple(u)),u)*.
% 300.12/300.65 46434[0:SpR:104.2,5398.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,x,u)),c_SetInterval_Oord__class_OatLeastLessThan(w,x,u)),c_SetInterval_Oord__class_OatLeastLessThan(v,x,u))**.
% 300.12/300.65 46643[0:Rew:26717.0,46640.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(w,c_Option_Othe(c_Com_Obody(x),tc_Com_Ocom),y,v),tc_Hoare__Mirabelle_Otriple(v)),z)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),c_Hoare__Mirabelle_Otriple_Otriple(w,c_Com_Ocom_OBODY(x),y,v)),v)*.
% 300.12/300.65 48923[0:SpL:12544.0,460.0] || equal(hAPP(u,hAPP(c_Set_Oinsert(c_False,tc_bool),v)),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Set_Oinsert(c_False,tc_bool),x,y)* -> equal(hAPP(hAPP(w,u),v),hAPP(hAPP(w,c_Complete__Lattice_OInf__class_OInf(tc_bool)),v))*.
% 300.12/300.65 48792[0:SpL:12625.0,460.0] || equal(hAPP(u,hAPP(v,w)),c_Orderings_Otop__class_Otop(tc_bool))** c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,u),w),hAPP(hAPP(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),w))*.
% 300.12/300.65 48540[0:SpL:12550.0,460.0] || equal(hAPP(u,v),hAPP(w,v))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),y,z)* -> equal(hAPP(hAPP(x,u),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(hAPP(x,w),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 48459[0:SpL:24543.0,460.0] || equal(hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),hAPP(v,c_Orderings_Otop__class_Otop(tc_bool))) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),y,z)* -> equal(hAPP(hAPP(w,u),x1),hAPP(hAPP(w,v),x1))*.
% 300.12/300.65 48448[0:SpL:34.0,460.0] || equal(hAPP(u,v),hAPP(w,v))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,c_Fun_Ofun__upd(y,z,v,x1,x2),x3,x4)* -> equal(hAPP(hAPP(x,u),z),hAPP(hAPP(x,w),z))*.
% 300.12/300.65 48435[0:SpL:256.0,460.0] || equal(hAPP(u,v),hAPP(w,v)) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),v),z,x1)* -> equal(hAPP(hAPP(x,u),v),hAPP(hAPP(x,w),v))*.
% 300.12/300.65 49216[2:Res:800.1,47875.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) equal(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(x,u),w)),c_False)** -> hBOOL(c_in(x,w,u)).
% 300.12/300.65 49342[0:MRR:49334.1,49341.2] class_OrderedGroup_Opordered__ab__group__add(tc_fun(tc_bool,tc_bool)) || equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),x),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)))*.
% 300.12/300.65 49343[0:MRR:49333.1,49341.2] class_OrderedGroup_Opordered__ab__group__add(tc_fun(tc_bool,tc_bool)) || equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),x),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)))*.
% 300.12/300.65 49344[0:MRR:49318.1,49341.2] class_OrderedGroup_Opordered__ab__group__add(tc_fun(u,tc_bool)) || equal(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w),c_COMBK(c_False,tc_bool,u))** -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),x))*.
% 300.12/300.65 49345[0:MRR:49313.1,49341.2] class_OrderedGroup_Opordered__ab__group__add(tc_fun(u,tc_bool)) || equal(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w),c_COMBK(c_False,tc_bool,u))** -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),x),c_COMBK(c_False,tc_bool,u)))*.
% 300.12/300.65 50507[0:SpR:118.0,120.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(u,v,tc_fun(w,tc_bool)),x),c_Set_Oinsert(y,w),tc_fun(w,tc_bool),tc_fun(w,tc_bool)),hAPP(c_Set_Oinsert(y,w),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,u,v,tc_fun(w,tc_bool))))**.
% 300.12/300.65 50564[2:SpR:50431.1,405.0] || hBOOL(u) -> equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w),hAPP(c_Set_Oinsert(x,v),y)),hAPP(c_Set_Oinsert(c_False,w),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w),y)))*.
% 300.12/300.65 50706[0:Rew:22632.0,50681.0] || equal(hAPP(c_Set_Oimage(u,v,w),x),hAPP(c_fequal(w),hAPP(u,y))) c_Fun_Oinj__on(u,hAPP(c_Set_Oinsert(y,v),x),v,w)* -> equal(x,hAPP(c_fequal(v),y)).
% 300.12/300.65 50754[2:SpL:50419.1,331.1] || hBOOL(u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 50751[2:SpL:50419.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool)))*.
% 300.12/300.65 51525[0:SpR:243.0,236.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x))))*.
% 300.12/300.65 51926[0:SpR:244.0,237.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),w))))*.
% 300.12/300.65 53308[2:SpL:126.1,53092.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)),c_False) -> .
% 300.12/300.65 53307[2:SpL:127.1,53092.0] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)),c_False) -> .
% 300.12/300.65 53303[2:SpL:241.1,53092.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x)),c_False) -> .
% 300.12/300.65 53302[2:SpL:240.1,53092.0] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)))* equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x)),c_False) -> .
% 300.12/300.65 54044[0:SpL:144.1,370.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x),c_Orderings_Obot__class_Obot(u))** -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x),c_Orderings_Obot__class_Obot(u)).
% 300.12/300.65 54043[0:SpL:144.1,369.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x),c_Orderings_Obot__class_Obot(u))** -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x),c_Orderings_Obot__class_Obot(u)).
% 300.12/300.65 54130[0:SSi:53912.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),v)),w)))*.
% 300.12/300.65 54131[0:SSi:53885.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),x)),w)))*.
% 300.12/300.65 54132[0:SSi:53883.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),x)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),v)),w),x))*.
% 300.12/300.65 54133[0:SSi:53882.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),x)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),y)),w),x))*.
% 300.12/300.65 54420[0:SpL:44.1,22.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),x),c_Orderings_Otop__class_Otop(u))** -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x),c_Orderings_Otop__class_Otop(u)).
% 300.12/300.65 54419[0:SpL:44.1,21.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),x),c_Orderings_Otop__class_Otop(u))** -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x),c_Orderings_Otop__class_Otop(u)).
% 300.12/300.65 54495[0:SSi:54422.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w)),x),y))* -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),x),y)).
% 300.12/300.65 54496[0:SSi:54421.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w)),x),y))* -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x),y)).
% 300.12/300.65 54808[0:SpL:143.1,370.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),c_Orderings_Obot__class_Obot(u))** -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x),c_Orderings_Obot__class_Obot(u)).
% 300.12/300.65 54807[0:SpL:143.1,369.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),c_Orderings_Obot__class_Obot(u))** -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),c_Orderings_Obot__class_Obot(u)).
% 300.12/300.65 54909[0:SSi:54673.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),w))))*.
% 300.12/300.65 54910[0:SSi:54645.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x))))*.
% 300.12/300.65 54911[0:SSi:54643.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),x)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),w)),x))*.
% 300.12/300.65 54912[0:SSi:54642.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),w),x)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),y)),x))*.
% 300.12/300.65 55230[0:SpL:45.1,22.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),c_Orderings_Otop__class_Otop(u))** -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x),c_Orderings_Otop__class_Otop(u)).
% 300.12/300.65 55229[0:SpL:45.1,21.1] class_Lattices_Odistrib__lattice(u) class_Lattices_Obounded__lattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),c_Orderings_Otop__class_Otop(u))** -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),c_Orderings_Otop__class_Otop(u)).
% 300.12/300.65 55309[0:SSi:55232.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),x)),y))* -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),y)).
% 300.12/300.65 55310[0:SSi:55231.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w),x)),y))* -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),x),y)).
% 300.12/300.65 55511[2:SpR:50425.1,405.0] || hBOOL(u) -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),x)))*.
% 300.12/300.65 55750[0:SpL:8978.0,269.1] || hBOOL(c_in(u,v,w))* equal(c_Product__Type_OSigma(x,c_COMBK(v,tc_fun(w,tc_bool),tc_bool),tc_bool,w),c_COMBK(c_False,tc_bool,tc_prod(tc_bool,w)))** -> equal(x,c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool))*.
% 300.12/300.65 55749[0:SpL:8805.0,269.1] || hBOOL(c_in(u,v,w))* equal(c_Product__Type_OSigma(x,c_COMBK(v,tc_fun(w,tc_bool),tc_bool),tc_bool,w),c_COMBK(c_False,tc_bool,tc_prod(tc_bool,w)))** -> equal(x,c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool))*.
% 300.12/300.65 55748[0:SpL:709.0,269.1] || hBOOL(c_in(u,v,w))* equal(c_Product__Type_OSigma(x,c_COMBK(v,tc_fun(w,tc_bool),y),y,w),c_COMBK(c_False,tc_bool,tc_prod(y,w)))** -> equal(x,c_COMBK(c_False,tc_bool,y)).
% 300.12/300.65 56186[0:Res:363.1,57.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)),x))* c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),x),u) -> c_Finite__Set_Ofinite(v,u).
% 300.12/300.65 56177[0:Res:363.1,530.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w)),x))* -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),w),x),v,u).
% 300.12/300.65 56475[0:SpL:515.0,743.0] || equal(hAPP(c_Set_Oimage(u,v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),y)),c_COMBK(c_False,tc_bool,w))** -> equal(hAPP(c_Set_Oimage(u,v,w),x),c_COMBK(c_False,tc_bool,w)).
% 300.12/300.65 56474[0:SpL:515.0,742.0] || equal(hAPP(c_Set_Oimage(u,v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),y)),c_COMBK(c_False,tc_bool,w))** -> equal(hAPP(c_Set_Oimage(u,v,w),y),c_COMBK(c_False,tc_bool,w)).
% 300.12/300.65 57614[0:SpL:14531.0,502.0] || equal(hAPP(u,v),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,u,x,y)* -> equal(hAPP(hAPP(w,c_Fun_Ocomp(z,c_HOL_Ominus__class_Ominus(c_False,tc_bool),x,x,x)),v),hAPP(hAPP(w,z),v))**.
% 300.12/300.65 57570[0:SpL:14872.0,502.0] || equal(hAPP(u,v),v)** c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_HOL_Ominus__class_Ominus(v,tc_bool),x,y)* -> equal(hAPP(hAPP(w,c_Fun_Ocomp(z,u,x,x,x)),c_False),hAPP(hAPP(w,z),c_False))**.
% 300.12/300.65 57297[0:SpL:14632.0,502.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_HOL_Ominus__class_Ominus(w,tc_bool),x,y)* -> equal(hAPP(hAPP(v,c_Fun_Ocomp(z,u,x,x,x)),w),hAPP(hAPP(v,z),w))**.
% 300.12/300.65 57296[0:SpL:14531.0,502.0] || equal(hAPP(u,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_HOL_Ominus__class_Ominus(c_False,tc_bool),w,x)* -> equal(hAPP(hAPP(v,c_Fun_Ocomp(y,u,w,w,w)),z),hAPP(hAPP(v,y),z))**.
% 300.12/300.65 57803[0:Obv:57658.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,c_Fun_Ocomp(y,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(z,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool))),w,w,w)),x1),hAPP(hAPP(u,y),x1))**.
% 300.12/300.65 57804[0:Obv:57655.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,c_Fun_Ocomp(y,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(z,z,tc_bool)),w,w,w)),x1),hAPP(hAPP(u,y),x1))**.
% 300.12/300.65 57805[0:Obv:57654.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,c_Fun_Ocomp(y,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(z,c_False,tc_bool)),w,w,w)),x1),hAPP(hAPP(u,y),x1))**.
% 300.12/300.65 57806[0:Obv:57653.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,c_Fun_Ocomp(y,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(z,z,tc_bool)),w,w,w)),x1),hAPP(hAPP(u,y),x1))**.
% 300.12/300.65 57807[0:Obv:57652.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,c_Fun_Ocomp(y,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(z,c_False,tc_bool)),w,w,w)),x1),hAPP(hAPP(u,y),x1))**.
% 300.12/300.65 57808[0:Obv:57625.0] || c_Record_Oiso__tuple__update__accessor__cong__assist(u,v,w,x)* -> equal(hAPP(hAPP(u,c_Fun_Ocomp(y,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(z,tc_bool)),c_COMBK(c_False,tc_bool,z)),w,w,w)),x1),hAPP(hAPP(u,y),x1))**.
% 300.12/300.65 57809[0:Obv:57581.1] class_Lattices_Olower__semilattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,c_Fun_Ocomp(z,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(w,x1)),x,x,x)),x1),hAPP(hAPP(v,z),x1))**.
% 300.12/300.65 57810[0:Obv:57580.1] class_Lattices_Olattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,c_Fun_Ocomp(z,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(w,x1)),x,x,x)),x1),hAPP(hAPP(v,z),x1))**.
% 300.12/300.65 57811[0:Obv:57579.1] class_Complete__Lattice_Ocomplete__lattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,c_Fun_Ocomp(z,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(w,x1)),x,x,x)),x1),hAPP(hAPP(v,z),x1))**.
% 300.12/300.65 57812[0:Obv:57578.1] class_Lattices_Oupper__semilattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,c_Fun_Ocomp(z,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(w,x1)),x,x,x)),x1),hAPP(hAPP(v,z),x1))**.
% 300.12/300.65 57813[0:Obv:57577.1] class_Lattices_Olattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,c_Fun_Ocomp(z,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(w,x1)),x,x,x)),x1),hAPP(hAPP(v,z),x1))**.
% 300.12/300.65 57814[0:Obv:57576.1] class_Complete__Lattice_Ocomplete__lattice(u) || c_Record_Oiso__tuple__update__accessor__cong__assist(v,w,x,y)* -> equal(hAPP(hAPP(v,c_Fun_Ocomp(z,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(w,x1)),x,x,x)),x1),hAPP(hAPP(v,z),x1))**.
% 300.12/300.65 57995[0:Res:236.0,287.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(y,u)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,y,w,tc_fun(x,tc_bool))),z)))*.
% 300.12/300.65 57994[0:Res:237.0,287.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(y,u)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),z),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,y,w,tc_fun(x,tc_bool)))))*.
% 300.12/300.65 58145[0:SSi:58128.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),y),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,z,w,tc_fun(x,tc_bool)))),hAPP(z,u)))*.
% 300.12/300.65 58146[0:SSi:58115.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,y,w,tc_fun(x,tc_bool))),z)),hAPP(y,u)))*.
% 300.12/300.65 58944[0:Con:58840.4] class_Orderings_Olinorder(tc_bool) || equal(c_False,u) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,w,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(x,u,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),w),v)).
% 300.12/300.65 58945[0:Con:58839.4] class_Orderings_Olinorder(tc_bool) || equal(c_False,u) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,w,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(x,u,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),w),v)).
% 300.12/300.65 60170[0:Res:464.0,129.0] || c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u) c_Fun_Oinj__on(v,c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,u) -> equal(hAPP(c_Set_Oimage(v,u,u),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))**.
% 300.12/300.65 61812[0:SpL:61326.1,352.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(hAPP(c_False,v)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 61773[0:SpR:61326.1,265.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 61772[0:SpR:61326.1,435.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 300.12/300.65 63091[0:SpL:336.0,183.0] || c_Fun_Oinj__on(u,hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x),tc_fun(v,tc_bool)),y),v,z)* -> c_Fun_Oinj__on(u,hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),y),v,z).
% 300.12/300.65 63090[0:SpL:336.0,182.0] || c_Fun_Oinj__on(u,hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x),tc_fun(v,tc_bool)),y),v,z)* -> c_Fun_Oinj__on(u,hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(v,tc_bool)),y),v,z).
% 300.12/300.65 63008[0:SpR:336.0,474.1] || hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x),w)) -> hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),y),v),tc_fun(w,tc_bool)),x),w))*.
% 300.12/300.65 62994[0:SpR:336.0,475.1] || hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x),w)) -> hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),y),tc_fun(w,tc_bool)),x),w))*.
% 300.12/300.65 63303[0:SpL:510.2,7112.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),x))* hBOOL(c_in(y,v,u))* -> hBOOL(hAPP(w,y))*.
% 300.12/300.65 63293[0:SpL:510.2,3223.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w))* hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),w),x))* hBOOL(hAPP(v,y))* -> hBOOL(c_in(y,w,u))*.
% 300.12/300.65 63706[0:SpL:58781.1,352.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),y,tc_fun(z,tc_bool)),v))*.
% 300.12/300.65 63596[0:SpR:58781.1,265.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,tc_fun(y,tc_bool))))*.
% 300.12/300.65 63595[0:SpR:58781.1,435.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,tc_fun(y,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 63786[0:Res:1354.0,827.0] || -> hBOOL(hAPP(hAPP(u,v_sko__Hoare__Mirabelle__Xconseq1__1(u,v)),v_sko__Hoare__Mirabelle__Xconseq1__2(u,v)))* c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v,w,x,t_a)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(u,w,x,t_a)),t_a)*.
% 300.12/300.65 64030[0:Res:1354.0,826.0] || -> hBOOL(hAPP(hAPP(u,v_sko__Hoare__Mirabelle__Xconseq2__1(v,u)),v_sko__Hoare__Mirabelle__Xconseq2__2(v,u)))* c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(w,x,u,t_a)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(w,x,v,t_a)),t_a)*.
% 300.12/300.65 64074[0:SpL:63990.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),tc_bool),u,v)) hBOOL(c_in(w,c_Orderings_Otop__class_Otop(tc_bool),x)) -> hBOOL(c_in(w,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Complete__Lattice_OSup__class_OSup(tc_bool),v,tc_fun(x,tc_bool)),x))*.
% 300.12/300.65 64211[0:SpL:59170.1,352.0] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(u,w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),x,tc_fun(z,tc_bool)),v))*.
% 300.12/300.65 64100[0:SpR:59170.1,265.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 64099[0:SpR:59170.1,435.1] || equal(u,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 65521[0:SSi:65457.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),x))))*.
% 300.12/300.65 66712[0:SpL:508.0,183.0] || c_Fun_Oinj__on(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x),y,v,tc_fun(z,tc_bool)),z,x1)* -> c_Fun_Oinj__on(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,y,v,tc_fun(z,tc_bool)),z,x1).
% 300.12/300.65 66711[0:SpL:508.0,182.0] || c_Fun_Oinj__on(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x),y,v,tc_fun(z,tc_bool)),z,x1)* -> c_Fun_Oinj__on(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,y,v,tc_fun(z,tc_bool)),z,x1).
% 300.12/300.65 66710[0:SpL:508.0,1473.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x),y,v,tc_fun(tc_Hoare__Mirabelle_Otriple(z),tc_bool)),z)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,y,v,tc_fun(tc_Hoare__Mirabelle_Otriple(z),tc_bool)),z).
% 300.12/300.65 66709[0:SpL:508.0,1485.0] || c_Hoare__Mirabelle_Ohoare__derivs(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x),y,v,tc_fun(tc_Hoare__Mirabelle_Otriple(z),tc_bool)),z)* -> c_Hoare__Mirabelle_Ohoare__derivs(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,y,v,tc_fun(tc_Hoare__Mirabelle_Otriple(z),tc_bool)),z).
% 300.12/300.65 66649[0:SpR:508.0,3270.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),y),z,w,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,z,w,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),v)*.
% 300.12/300.65 66648[0:SpR:508.0,1476.0] || -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),y),z,w,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,z,w,tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),v)*.
% 300.12/300.65 66646[0:SpR:508.0,474.1] || hBOOL(c_in(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,w,x,tc_fun(y,tc_bool)),y)) -> hBOOL(c_in(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),z),v),w,x,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 66631[0:SpR:508.0,475.1] || hBOOL(c_in(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,w,x,tc_fun(y,tc_bool)),y)) -> hBOOL(c_in(u,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),v),z),w,x,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 68019[0:SpL:63959.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 67949[0:SpR:63959.0,265.1] || hBOOL(c_in(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 67948[0:SpR:63959.0,435.1] || hBOOL(c_in(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),u)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w,tc_fun(x,tc_bool))),u))*.
% 300.12/300.65 68142[0:SpL:65071.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)),w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 68064[0:SpR:65071.0,265.1] || hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 68063[0:SpR:65071.0,435.1] || hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_fequal(tc_bool),u)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w,tc_fun(x,tc_bool))),u))*.
% 300.12/300.65 68986[0:SpL:64010.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 68910[0:SpR:64010.0,265.1] || hBOOL(c_in(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 68909[0:SpR:64010.0,435.1] || hBOOL(c_in(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w,tc_fun(x,tc_bool))),u))*.
% 300.12/300.65 69113[0:SpL:65131.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 69031[0:SpR:65131.0,265.1] || hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 69030[0:SpR:65131.0,435.1] || hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w,tc_fun(x,tc_bool))),u))*.
% 300.12/300.65 69593[0:SpR:61332.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)))*.
% 300.12/300.65 69592[0:SpR:61332.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 70222[0:SpR:818.1,1430.0] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Set_Oinsert(x,y),z,x1),c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool))),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x2,u,x,w,y),w,y),v)))*.
% 300.12/300.65 70705[0:MRR:70616.4,70616.6,1073.1,1152.1] class_Orderings_Oorder(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(c_in(x,c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),u))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),x))*.
% 300.12/300.65 70897[0:SpR:68028.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(hAPP(c_fequal(tc_bool),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 300.12/300.65 70896[0:SpR:68028.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(hAPP(c_fequal(tc_bool),v),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 71505[0:Rew:9853.0,71458.3] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),v))* -> equal(c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),v,tc_bool)).
% 300.12/300.65 72833[0:SpR:68995.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)))*.
% 300.12/300.65 72832[0:SpR:68995.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || equal(v,c_Orderings_Otop__class_Otop(tc_bool)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,u)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 73154[0:SpR:34557.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v)) hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),y),x,u)))*.
% 300.12/300.65 73153[0:SpR:34557.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v)) hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),y),x,u)),v))*.
% 300.12/300.65 73370[0:SSi:73249.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))**.
% 300.12/300.65 73508[0:SpL:34558.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),w)) hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),w))*.
% 300.12/300.65 73394[0:SpR:34558.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v))* hBOOL(hAPP(hAPP(c_lessequals(u),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),x,u)))*.
% 300.12/300.65 73393[0:SpR:34558.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),v))* hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),x,u)),y))*.
% 300.12/300.65 73620[0:SSi:73499.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w))**.
% 300.12/300.65 73621[0:SSi:73497.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),w),u)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v))**.
% 300.12/300.65 74876[0:SpR:335.1,73586.1] class_HOL_Ominus(u) || hBOOL(c_in(v_x,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(t_a,u)),w),t_a)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(c_HOL_Ominus__class_Ominus(hAPP(v,v_x),u),hAPP(w,v_x))))*.
% 300.12/300.65 75393[0:SpR:34559.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),y)) hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),x,u)))*.
% 300.12/300.65 75392[0:SpR:34559.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),y)) hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),y),x,u)),v))*.
% 300.12/300.65 75615[0:SSi:75500.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w))**.
% 300.12/300.65 75616[0:SSi:75498.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v)))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),w)),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),w),v))**.
% 300.12/300.65 75950[2:SpR:50408.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),x,u)))*.
% 300.12/300.65 75949[2:SpR:50408.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),x,u)),y))*.
% 300.12/300.65 76992[0:SpR:58783.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),w)),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),y,u)))*.
% 300.12/300.65 76991[0:SpR:58783.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),w)),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),y,u)),v))*.
% 300.12/300.65 77129[0:SSi:77030.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),tc_bool),w)))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v))**.
% 300.12/300.65 77239[0:SSi:77185.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w))))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w)).
% 300.12/300.65 77240[0:SSi:77184.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)),w)))* equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w)).
% 300.12/300.65 77245[0:SpR:59886.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),w)),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),y,u)))*.
% 300.12/300.65 77244[0:SpR:59886.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(v,tc_bool),w)),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),y,u)),v))*.
% 300.12/300.65 77401[0:SSi:77269.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v),tc_bool),w)))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v))**.
% 300.12/300.65 77969[0:SpL:9624.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool),tc_fun(tc_bool,tc_bool)),u)),w))*.
% 300.12/300.65 77876[0:SpR:9624.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool),tc_fun(tc_bool,tc_bool)),x,u)))*.
% 300.12/300.65 77875[0:SpR:9624.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool),tc_fun(tc_bool,tc_bool)),x,u)),c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool)))*.
% 300.12/300.65 78023[0:MRR:77996.1,49341.2] class_OrderedGroup_Opordered__ab__group__add(tc_fun(tc_bool,tc_bool)) || equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),x),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)))*.
% 300.12/300.65 78112[0:SpL:9626.0,269.1] || hBOOL(c_in(u,v,w))* equal(c_Product__Type_OSigma(x,c_COMBK(v,tc_fun(w,tc_bool),tc_bool),tc_bool,w),c_COMBK(c_False,tc_bool,tc_prod(tc_bool,w)))** -> equal(c_SetInterval_Oord__class_OatLeastLessThan(y,y,tc_bool),x)*.
% 300.12/300.65 78342[0:SpL:9857.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool),tc_fun(tc_bool,tc_bool)),u)),w))*.
% 300.12/300.65 78247[0:SpR:9857.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool),tc_fun(tc_bool,tc_bool)),x,u)))*.
% 300.12/300.65 78246[0:SpR:9857.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool),tc_fun(tc_bool,tc_bool)),x,u)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool)))*.
% 300.12/300.65 78396[0:MRR:78369.1,49341.2] class_OrderedGroup_Opordered__ab__group__add(tc_fun(tc_bool,tc_bool)) || equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),x),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)))*.
% 300.12/300.65 78580[0:SpL:9859.0,269.1] || hBOOL(c_in(u,v,w))* equal(c_Product__Type_OSigma(x,c_COMBK(v,tc_fun(w,tc_bool),tc_bool),tc_bool,w),c_COMBK(c_False,tc_bool,tc_prod(tc_bool,w)))** -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(y,y,tc_bool),x)*.
% 300.12/300.65 79594[0:SpL:335.1,78858.0] class_HOL_Ominus(u) || equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(v,v_x),u),hAPP(w,v_x)),c_False)** equal(c_False,v_x) -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(t_a,u)),w),tc_bool),v_x).
% 300.12/300.65 80445[0:Res:14847.0,79861.0] || equal(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_False)** -> equal(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(u,tc_bool),v,w),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.65 80411[0:Res:26.1,79861.0] || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),v),c_False))* equal(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_False) -> equal(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.65 80482[0:Rew:80085.1,80369.2] || hBOOL(c_in(c_False,u,v)) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),w),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.65 80483[0:Rew:80085.1,80332.2] || hBOOL(c_in(c_False,u,v)) equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.65 80267[0:SpL:341.0,79861.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_False),v))* equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_False) -> equal(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.65 80212[0:SpL:708.0,79861.0] || hBOOL(c_COMBK(c_False,tc_bool,u)) equal(c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool)),c_False)** -> equal(c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,u),tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.65 81034[0:SpL:12371.2,1141.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))))) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u))),c_False))*.
% 300.12/300.65 80874[0:SpR:12371.2,264.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),y,v)))*.
% 300.12/300.65 80873[0:SpR:12371.2,434.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),y,v)),w))*.
% 300.12/300.65 81303[0:SpL:14438.2,1141.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || hBOOL(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))))) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(v,w),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u))),c_False))*.
% 300.12/300.65 81185[0:SpR:14438.2,264.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),y,v)))*.
% 300.12/300.65 81184[0:SpR:14438.2,434.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),y,v)),w))*.
% 300.12/300.65 81618[0:SpR:335.1,24254.0] class_HOL_Ominus(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_HOL_Ominus__class_Ominus(hAPP(v,v_x),u),hAPP(w,v_x))),hAPP(hAPP(c_Set_Oinsert(x,y),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(t_a,u)),w)),v_x)))*.
% 300.12/300.65 82154[0:SpL:82115.0,204.0] || hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),w),v))* c_Fun_Oinj__on(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,v)* -> hBOOL(c_in(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),w,u)).
% 300.12/300.65 82394[0:SpR:82160.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),tc_bool)),u),x)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),x)))*.
% 300.12/300.65 83193[0:SpR:335.1,22323.0] class_HOL_Ominus(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(t_a,u)),w),x,y),hAPP(c_Set_Oinsert(v_x,x),z)),hAPP(c_HOL_Ominus__class_Ominus(hAPP(v,v_x),u),hAPP(w,v_x))))*.
% 300.12/300.65 86651[0:SpL:86619.1,331.1] || hBOOL(u) hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w))* hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 86647[0:SpL:86619.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(hAPP(hAPP(c_lessequals(u),c_False),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v)))*.
% 300.12/300.65 86738[0:SpR:410.0,27005.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),tc_fun(u,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(x,u),w))),c_COMBK(c_False,tc_bool,u))**.
% 300.12/300.65 86803[0:Rew:684.0,86710.0,341.0,86710.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(x,u),w)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(x,u),w)))**.
% 300.12/300.65 86804[0:Rew:684.0,86683.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(x,u),v)),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(x,u),v)))**.
% 300.12/300.65 87382[0:Res:791.0,86811.0] || hBOOL(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,v,w,x)) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v,x,w,t_a)),t_a)* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(v,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(u,v,w,x))))*.
% 300.12/300.65 87381[0:Res:792.0,86811.0] || hBOOL(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,v,w,x)) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v,x,w,t_a)),t_a)* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(v,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(u,v,w,x))))*.
% 300.12/300.65 87380[0:Res:793.0,86811.0] || hBOOL(v_sko__Hoare__Mirabelle__Xescape__2(u,v,w,x)) -> c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v,x,w,t_a)),t_a)* hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(v,v_sko__Hoare__Mirabelle__Xescape__1(u,v,w,x))))*.
% 300.12/300.65 87011[0:SpL:257.1,86811.0] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(v,v_x)),hAPP(w,v_x))) hBOOL(v_x) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,u)),v),w)))*.
% 300.12/300.65 88502[0:SpL:104.2,10584.0] class_Orderings_Olinorder(tc_Hoare__Mirabelle_Otriple(u)) || hBOOL(hAPP(hAPP(c_lessequals(tc_Hoare__Mirabelle_Otriple(u)),v),w))* c_Hoare__Mirabelle_Ohoare__derivs(c_SetInterval_Oord__class_OatLeastLessThan(w,x,tc_Hoare__Mirabelle_Otriple(u)),y,u)* -> c_Hoare__Mirabelle_Ohoare__derivs(c_SetInterval_Oord__class_OatLeastLessThan(v,x,tc_Hoare__Mirabelle_Otriple(u)),y,u)*.
% 300.12/300.65 88603[0:SpL:22632.0,204.0] || hBOOL(c_in(hAPP(u,v),hAPP(c_fequal(w),hAPP(u,x)),w))* c_Fun_Oinj__on(u,c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool)),y,w)* -> hBOOL(c_in(v,hAPP(c_fequal(y),x),y))*.
% 300.12/300.65 88552[0:SpR:22632.0,120.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_fequal(u),hAPP(v,w)),x,u,tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_fequal(z),w),c_COMBB(x,v,u,tc_fun(y,tc_bool),z),z,tc_fun(y,tc_bool)))*.
% 300.12/300.65 89007[0:SpR:772.1,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),x,y),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(v,u),hAPP(c_fequal(u),w)),x),z)),y))*.
% 300.12/300.65 88990[0:SpR:774.1,22324.0] || -> hBOOL(c_in(u,v,w)) hBOOL(c_in(v,hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(u,w),v),tc_fun(w,tc_bool)),x,y),hAPP(c_Set_Oinsert(hAPP(c_fequal(w),u),x),z)),y))*.
% 300.12/300.65 88982[0:SpR:773.1,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),x,y),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(v,u),hAPP(c_fequal(u),w)),x),z)),y))*.
% 300.12/300.65 88878[0:SpR:125.1,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),w)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x,y),hAPP(c_Set_Oinsert(hAPP(c_Complete__Lattice_OInf__class_OInf(u),w),x),z)),y))*.
% 300.12/300.65 88877[0:SpR:276.1,22324.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> hBOOL(c_in(hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),w)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x,y),hAPP(c_Set_Oinsert(hAPP(c_Complete__Lattice_OSup__class_OSup(u),w),x),z)),y))*.
% 300.12/300.65 88874[0:SpR:48.1,22324.0] class_Lattices_Olower__semilattice(u) || -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x,y),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x),z)),y))*.
% 300.12/300.65 88873[0:SpR:47.1,22324.0] class_Lattices_Olattice(u) || -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x,y),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x),z)),y))*.
% 300.12/300.65 88871[0:SpR:349.1,22324.0] class_Lattices_Oupper__semilattice(u) || -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x,y),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),x),z)),y))*.
% 300.12/300.65 88870[0:SpR:350.1,22324.0] class_Lattices_Olattice(u) || -> hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x,y),hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),x),z)),y))*.
% 300.12/300.65 88736[0:SpR:249.0,22324.0] || -> hBOOL(c_in(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),tc_fun(v,tc_bool)),x,y),hAPP(c_Set_Oinsert(w,x),z)),y))*.
% 300.12/300.65 88700[0:SpR:94.1,22324.0] || -> hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),x),w)) hBOOL(c_in(hAPP(c_Fun_Ofun__upd(y,u,z,w,x1),v),hAPP(c_Set_Oimage(y,w,x1),hAPP(c_Set_Oinsert(v,w),x)),x1))*.
% 300.12/300.65 89167[0:SpL:87864.1,352.0] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 89134[0:SpR:87864.1,265.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 89133[0:SpR:87864.1,435.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 89252[0:Res:87256.2,1141.0] || hBOOL(hAPP(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool))),c_False))* hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool))))) -> hBOOL(hAPP(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_False)).
% 300.12/300.65 89277[0:SSi:89249.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || hBOOL(hAPP(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),v)),c_False))* hBOOL(c_ATP__Linkup_Osko__Set__Xex__bool__eq__1__1(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),v)))) -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v)).
% 300.12/300.65 89568[0:Res:15156.0,362.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_HOL_Ominus__class_Ominus(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),tc_fun(u,tc_bool)),tc_fun(u,tc_bool)),tc_fun(u,tc_bool)),v)),w))*.
% 300.12/300.65 90679[0:SpL:90441.0,460.0] || equal(hAPP(u,v),hAPP(w,v)) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),v),z,x1)* -> equal(hAPP(hAPP(x,u),v),hAPP(hAPP(x,w),v))*.
% 300.12/300.65 90659[0:SpR:90441.0,87.2] || c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v,w,x,y,z) -> hBOOL(c_in(x,w,y)) c_Finite__Set_Ofold__graph(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v,hAPP(c_Set_Oinsert(x,y),w),x,y,z)*.
% 300.12/300.65 90803[0:SpL:90717.0,461.0] || equal(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),w,x)* -> equal(hAPP(hAPP(v,c_Complete__Lattice_OSup__class_OSup(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)).
% 300.12/300.65 90775[0:SpR:90717.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),u),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),x)))*.
% 300.12/300.65 91659[0:SpR:803.2,8786.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 300.12/300.65 91658[0:SpR:802.2,8786.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 300.12/300.65 91853[0:SpR:803.2,8941.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 300.12/300.65 91852[0:SpR:802.2,8941.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 300.12/300.65 92459[0:SpR:335.1,86793.0] class_HOL_Ominus(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(hAPP(v,v_x),u),hAPP(w,v_x)),tc_bool),hAPP(hAPP(c_Set_Oinsert(x,t_a),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(t_a,u)),w)),v_x)),c_False)**.
% 300.12/300.65 92323[0:SpR:86793.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(hAPP(c_Set_Oinsert(v,t_a),w),v_x),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_HOL_Ominus__class_Ominus(hAPP(w,v_x),tc_bool),y,u)))*.
% 300.12/300.65 92322[0:SpR:86793.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(hAPP(c_Set_Oinsert(v,t_a),w),v_x),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_HOL_Ominus__class_Ominus(hAPP(w,v_x),tc_bool),y,u)),c_False))*.
% 300.12/300.65 92916[0:SpR:794.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),x)),y)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_fequal(v),w)),y)))*.
% 300.12/300.65 92914[0:SpR:356.1,24257.0] || -> hBOOL(c_in(u,v,w)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Set_Oinsert(u,w),hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(w,tc_bool)),v)),y)),hAPP(hAPP(c_Set_Oinsert(u,w),x),y)))*.
% 300.12/300.65 92685[0:SpR:770.0,24257.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(u,v),tc_fun(w,tc_bool)),x),hAPP(c_HOL_Ominus__class_Ominus(y,tc_fun(v,tc_bool)),hAPP(c_fequal(v),u)))),hAPP(c_Set_Oinsert(u,v),y)))*.
% 300.12/300.65 92571[0:SpR:771.1,24257.0] || -> equal(u,c_COMBK(c_False,tc_bool,v)) hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(c_Set_Oimage(c_COMBK(w,x,v),v,x),tc_fun(y,tc_bool)),z),u)),hAPP(c_fequal(x),w)))*.
% 300.12/300.65 92972[0:SSi:92939.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.0] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),x)),hAPP(u,x)))* equal(hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),x),hAPP(u,x)).
% 300.12/300.65 93369[0:SpL:93108.0,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(u,w,x)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),hAPP(c_Set_Oinsert(z,y),u)),x,tc_fun(x1,tc_bool)),v))*.
% 300.12/300.65 93348[0:SpR:803.2,93108.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u)),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u))**.
% 300.12/300.65 93347[0:SpR:802.2,93108.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u))**.
% 300.12/300.65 93260[0:SpR:93108.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),u),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),hAPP(c_Set_Oinsert(z,y),u)),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 93259[0:SpR:93108.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),hAPP(c_Set_Oinsert(z,y),u)),w,tc_fun(x,tc_bool))),u))*.
% 300.12/300.65 94243[0:Res:87830.1,77.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Olinorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u)),w))* equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u),w).
% 300.12/300.65 94242[0:Res:87830.1,69.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u)),w))* equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),u),w).
% 300.12/300.65 94279[0:SSi:94230.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),tc_fun(u,tc_bool))),w))* equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),tc_fun(u,tc_bool)),w).
% 300.12/300.65 94771[0:SpR:803.2,17248.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,w,u)),hAPP(c_Set_Oinsert(x,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u))))*.
% 300.12/300.65 94770[0:SpR:802.2,17248.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u)),hAPP(c_Set_Oinsert(x,u),c_SetInterval_Oord__class_OatLeastAtMost(v,w,u))))*.
% 300.12/300.65 95016[0:SpR:508.0,10597.1] || c_Hoare__Mirabelle_Ohoare__derivs(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)),y,x) -> c_Hoare__Mirabelle_Ohoare__derivs(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),z),u),v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)),y,x)*.
% 300.12/300.65 95251[0:SpR:508.0,10598.1] || c_Hoare__Mirabelle_Ohoare__derivs(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)),y,x) -> c_Hoare__Mirabelle_Ohoare__derivs(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u),z),v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)),y,x)*.
% 300.12/300.65 95936[0:SpL:13635.1,461.0] || equal(u,hAPP(c_fequal(v),w)) c_Record_Oiso__tuple__update__accessor__cong__assist(x,c_fequal(v),y,z)* -> hBOOL(c_in(w,u,v)) equal(hAPP(hAPP(x,c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool))),w),w)**.
% 300.12/300.65 95901[0:SpR:13635.1,795.0] || -> hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x),w)) equal(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_Set_Oinsert(u,w),x)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x))**.
% 300.12/300.65 95851[0:SpR:13635.1,795.0] || -> hBOOL(c_in(u,v,w)) equal(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_Set_Oinsert(x,w),hAPP(c_fequal(w),u))),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_fequal(w),x)))**.
% 300.12/300.65 96020[0:Res:21881.1,79861.0] || hBOOL(c_in(c_False,u,v)) equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_fequal(w),v,tc_fun(x,tc_bool)),c_False)** -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_fequal(w),v,tc_fun(x,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),tc_bool)).
% 300.12/300.65 96080[0:Res:87828.1,17.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u)))* hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),u)),v))*.
% 300.12/300.65 96175[0:Res:87846.1,17.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u))) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),c_False))*.
% 300.12/300.65 96880[0:Res:87827.1,17.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u))) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),u)),v))*.
% 300.12/300.65 96926[0:SSi:96851.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,y,w,tc_fun(x,tc_bool))),tc_fun(x,tc_bool))),hAPP(y,u)))*.
% 300.12/300.65 97041[0:Res:87839.1,17.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Opreorder(u) || -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u))) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),u)),v))*.
% 300.12/300.65 97086[0:SSi:97012.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,y,w,tc_fun(x,tc_bool))),tc_fun(x,tc_bool))),hAPP(y,u)))*.
% 300.12/300.65 97121[0:SpL:326.1,11219.0] || hBOOL(c_in(u,v,w))* equal(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(c_Set_Oimage(x,w,y),v),hAPP(c_Set_Oimage(x,w,y),v),tc_fun(y,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(y,tc_bool)))** -> .
% 300.12/300.65 97397[0:SpR:613.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x))),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),c_Set_Oinsert(w,v)),z),hAPP(c_Set_Oinsert(u,v),x))))*.
% 300.12/300.65 97219[0:SpR:336.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),x)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),u),y),tc_fun(v,tc_bool)),w),x)))*.
% 300.12/300.65 97184[0:SpR:508.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,v,w,tc_fun(x,tc_bool)),y)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u),z),v,w,tc_fun(x,tc_bool)),y)))*.
% 300.12/300.65 97907[0:SpR:613.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Set_Oinsert(u,v),hAPP(c_Set_Oinsert(w,v),x))),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),z),c_Set_Oinsert(w,v)),hAPP(c_Set_Oinsert(u,v),x))))*.
% 300.12/300.65 97729[0:SpR:336.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),w),x)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),y),u),tc_fun(v,tc_bool)),w),x)))*.
% 300.12/300.65 97694[0:SpR:508.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,v,w,tc_fun(x,tc_bool)),y)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),z),u),v,w,tc_fun(x,tc_bool)),y)))*.
% 300.12/300.65 98227[0:Res:5045.2,1141.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(w,x),hAPP(c_lessequals(u),v)))))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_lessequals(u),v)),c_False)).
% 300.12/300.65 98403[0:SpL:405.0,98370.0] || equal(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),y)),hAPP(c_Set_Oimage(u,v,w),y))** -> hBOOL(c_in(hAPP(u,x),hAPP(c_Set_Oimage(u,v,w),y),w))*.
% 300.12/300.65 98524[0:SpR:818.1,12203.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x)) -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(y,v,c_Orderings_Otop__class_Otop(u),x,u),x,u),w)),c_Orderings_Otop__class_Otop(u))**.
% 300.12/300.65 98821[0:SpR:818.1,12493.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x)) -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(y,v,c_Orderings_Obot__class_Obot(u),x,u),x,u),w)),c_Orderings_Obot__class_Obot(u))**.
% 300.12/300.65 99975[0:Res:15143.2,446.1] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),u)))* -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),u),v).
% 300.12/300.65 100140[0:Res:15144.2,446.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),u)))* -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),u),v).
% 300.12/300.65 100325[0:Res:87811.2,446.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)))* -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v),w).
% 300.12/300.65 100368[0:SSi:100313.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(v,tc_bool)),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),tc_fun(v,tc_bool))))* -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),tc_fun(v,tc_bool)),w).
% 300.12/300.65 100609[0:Res:87814.2,446.1] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)))* -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v),w).
% 300.12/300.65 100652[0:SSi:100597.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(v,tc_bool)),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),tc_fun(v,tc_bool))))* -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),tc_fun(v,tc_bool)),w).
% 300.12/300.65 100789[0:SpR:898.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x,y,z),w,hAPP(u,w),z,y),c_Fun_Ocomp(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x,y,z))**.
% 300.12/300.65 100844[0:SpL:100666.1,352.0] || equal(c_False,u) hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),v)) hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),v))*.
% 300.12/300.65 100814[0:SpR:100666.1,265.1] || equal(c_False,u) hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 100813[0:SpR:100666.1,435.1] || equal(c_False,u) hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 101438[0:SpL:101313.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),v,w))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool)),u))*.
% 300.12/300.65 101404[0:SpR:101313.0,265.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(w,tc_bool))))*.
% 300.12/300.65 101403[0:SpR:101313.0,435.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),u,v)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(u,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(w,tc_bool))),c_False))*.
% 300.12/300.65 101520[0:SpL:759.0,5905.0] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w)) c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w),u)* -> c_Finite__Set_Ofinite(w,u).
% 300.12/300.65 101519[0:SpL:410.0,5905.0] || equal(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x)),hAPP(c_Set_Oinsert(u,v),x))** c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),x),v) -> c_Finite__Set_Ofinite(w,v).
% 300.12/300.65 101956[0:Res:225.1,101661.0] || c_Finite__Set_Ofold__graph(u,v,w,hAPP(hAPP(c_fequal(t_a),v_x),v_x),x,x)* -> hBOOL(c_in(v,w,x)) hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Finite__Set_Ofold1Set(u,hAPP(c_Set_Oinsert(v,x),w),x))).
% 300.12/300.65 101924[0:Res:450.2,101661.0] class_Lattices_Oupper__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_fequal(t_a),v_x),v_x)),hAPP(hAPP(c_fequal(t_a),v_x),v_x))** -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),v))).
% 300.12/300.65 101888[0:Res:83.3,101661.0] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(hAPP(c_fequal(t_a),v_x),v_x),v,u)) c_Finite__Set_Ofinite(v,u) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_lessequals(u),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(u),v,u))))*.
% 300.12/300.65 102402[0:SpL:405.0,13885.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(hAPP(u,v),w),hAPP(c_Set_Oimage(u,x,w),y)),z)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Otop__class_Otop(tc_fun(x1,tc_bool)),c_Set_Oimage(u,x,w),x1,tc_fun(z,tc_bool)),z)*.
% 300.12/300.65 102641[0:SpR:249.0,26903.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),v_x),tc_fun(v,tc_bool)),t_a))* -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_fequal(tc_bool),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),v_x)))).
% 300.12/300.65 102862[0:Res:24260.0,24826.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(u,v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),u),v),tc_bool),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),u),v)))*.
% 300.12/300.65 102861[0:Res:24259.0,24826.1] class_Orderings_Olinorder(tc_bool) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(u,v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u),x),v),tc_bool),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),u),x),v)))*.
% 300.12/300.65 102850[0:Res:17248.0,24826.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(v,hAPP(c_Set_Oinsert(w,u),hAPP(c_Set_Oinsert(x,u),v)),tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(w,u),hAPP(c_Set_Oinsert(x,u),v))))*.
% 300.12/300.65 102787[0:Res:435.1,24826.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,y,x,tc_fun(u,tc_bool)),hAPP(y,v),tc_fun(u,tc_bool)),hAPP(y,v)))*.
% 300.12/300.65 102961[0:Res:265.1,25011.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(hAPP(y,v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,y,x,tc_fun(u,tc_bool)),tc_fun(u,tc_bool)),hAPP(y,v)))*.
% 300.12/300.65 102957[0:Res:15156.0,25011.1] class_Orderings_Olinorder(tc_fun(u,tc_bool)) || -> hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),tc_fun(u,tc_bool)),v,tc_fun(u,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),tc_fun(u,tc_bool))))*.
% 300.12/300.65 103125[0:SpL:336.0,26331.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x),tc_fun(v,tc_bool)),y)),v)* -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(v,tc_bool)),y),v).
% 300.12/300.65 103090[0:SpL:508.0,26331.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),y),z,w,tc_fun(v,tc_bool))),v)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,z,w,tc_fun(v,tc_bool)),v).
% 300.12/300.65 103338[0:SpL:336.0,26728.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),hAPP(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x),tc_fun(v,tc_bool)),y)),v)* -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(v,tc_bool)),y),v).
% 300.12/300.65 103303[0:SpL:508.0,26728.0] || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(u,v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),y),z,w,tc_fun(v,tc_bool))),v)* -> c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,z,w,tc_fun(v,tc_bool)),v).
% 300.12/300.65 103403[0:SpR:102900.1,264.2] class_Orderings_Olinorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),u),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)))*.
% 300.12/300.65 103402[0:SpR:102900.1,434.2] class_Orderings_Olinorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Otop__class_Otop(tc_bool),u),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,v)),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 103486[0:SpR:818.1,87848.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(y,z),u)),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x1,v,y,x,z),x,z),w)))*.
% 300.12/300.65 103571[0:SpR:984.1,159.0] class_Lattices_Obounded__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x,y,z),c_Orderings_Obot__class_Obot(u),hAPP(v,w),z,y),c_Fun_Ocomp(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x,y,z))**.
% 300.12/300.65 103709[0:SpR:996.1,159.0] class_Lattices_Obounded__lattice(u) || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x,y,z),c_Orderings_Otop__class_Otop(u),hAPP(v,w),z,y),c_Fun_Ocomp(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x,y,z))**.
% 300.12/300.65 103820[0:SpR:1057.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Set_Oinsert(v,w),x,y,z),c_COMBK(c_False,tc_bool,w),hAPP(u,hAPP(c_fequal(w),v)),z,y),c_Fun_Ocomp(u,c_Set_Oinsert(v,w),x,y,z))**.
% 300.12/300.65 103929[0:SpR:818.1,3790.1] || hBOOL(c_in(u,v,w)) hBOOL(c_in(x,hAPP(c_fequal(y),z),y)) -> hBOOL(c_in(x,hAPP(c_Set_Oimage(c_Fun_Ofun__upd(x1,u,z,w,y),w,y),v),y))*.
% 300.12/300.65 105352[0:Rew:80024.1,105316.2] || equal(hAPP(c_fequal(u),v),c_False) equal(hAPP(c_Set_Oinsert(w,x),y),c_False)** -> equal(c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(w,x),tc_bool),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oimage(c_COMBK(v,u,x),x,u),tc_bool))*.
% 300.12/300.65 105358[0:MRR:105297.1,70064.0] || c_Fun_Oinj__on(c_COMBK(u,v,w),hAPP(c_Set_Oinsert(x,w),y),w,v) -> c_Fun_Oinj__on(c_Fun_Ocomp(z,c_COMBK(u,v,w),v,x1,w),hAPP(c_Set_Oinsert(x,w),y),w,x1)*.
% 300.12/300.65 105527[0:SpR:1150.1,159.0] || hBOOL(c_in(u,v,w)) -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(x,c_Set_Oinsert(u,w),y,z,x1),v,hAPP(x,v),x1,z),c_Fun_Ocomp(x,c_Set_Oinsert(u,w),y,z,x1))**.
% 300.12/300.65 105652[0:SpR:159.0,901.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Fun_Ofun__upd(v,w,x,y,z),z,x1,y),w,hAPP(u,x),x2,x3),c_Fun_Ocomp(u,c_Fun_Ofun__upd(v,w,x,y,z),z,x1,y))**.
% 300.12/300.65 105605[0:SpR:901.0,159.0] || -> equal(c_Fun_Ofun__upd(c_Fun_Ocomp(u,c_Fun_Ofun__upd(v,w,x,y,z),x1,x2,x3),w,hAPP(u,x),x3,x2),c_Fun_Ocomp(u,c_Fun_Ofun__upd(v,w,x,y,z),x1,x2,x3))**.
% 300.12/300.65 106033[0:SpL:249.0,73923.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),v_x),tc_fun(v,tc_bool)),t_a))* hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),v_x)),c_False)) -> .
% 300.12/300.65 106174[0:SpR:104.2,8789.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(c_SetInterval_Oord__class_OatLeastLessThan(v,x,u),c_SetInterval_Oord__class_OatLeastLessThan(w,x,u),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 300.12/300.65 106428[0:SpR:104.2,8944.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(c_SetInterval_Oord__class_OatLeastLessThan(v,x,u),c_SetInterval_Oord__class_OatLeastLessThan(w,x,u),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 300.12/300.65 106534[0:SpL:106281.0,460.0] || equal(hAPP(u,hAPP(v,w)),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,u),w),hAPP(hAPP(x,c_SetInterval_Oord__class_OatLeastLessThan(x1,x1,tc_fun(x2,tc_bool))),w))*.
% 300.12/300.65 106507[0:SpL:106281.0,460.0] || equal(hAPP(u,c_False),hAPP(v,c_False)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_fun(y,tc_bool)),z,x1)* -> equal(hAPP(hAPP(w,u),x2),hAPP(hAPP(w,v),x2))*.
% 300.12/300.65 106485[0:SpR:106281.0,791.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)),x,y))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)),y,x,t_a)),t_a)*.
% 300.12/300.65 106484[0:SpR:106281.0,792.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)),x,y))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)),y,x,t_a)),t_a)*.
% 300.12/300.65 106483[0:SpR:106281.0,793.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xescape__2(u,c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)),x,y))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_fun(w,tc_bool)),y,x,t_a)),t_a)*.
% 300.12/300.65 106799[0:SpL:5228.0,11218.0] || equal(c_SetInterval_Oord__class_OatLeastAtMost(c_SetInterval_Oord__class_OatLeastAtMost(u,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x,tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool),tc_bool)))** -> c_Hoare__Mirabelle_Ohoare__derivs(v,u,w).
% 300.12/300.65 106858[0:SSi:106720.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),x,y),c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))**.
% 300.12/300.65 106860[0:SSi:106859.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> c_Hoare__Mirabelle_Ohoare__derivs(u,v,w) equal(c_Fun_Ofun__upd(c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,u,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(w)),x,y),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)))**.
% 300.12/300.65 107180[0:SpL:106967.0,460.0] || equal(hAPP(u,hAPP(v,w)),c_False)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,u),w),hAPP(hAPP(x,c_SetInterval_Oord__class_OgreaterThanAtMost(x1,x1,tc_fun(x2,tc_bool))),w))*.
% 300.12/300.65 107153[0:SpL:106967.0,460.0] || equal(hAPP(u,c_False),hAPP(v,c_False)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_fun(y,tc_bool)),z,x1)* -> equal(hAPP(hAPP(w,u),x2),hAPP(hAPP(w,v),x2))*.
% 300.12/300.65 107131[0:SpR:106967.0,791.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)),x,y))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)),y,x,t_a)),t_a)*.
% 300.12/300.65 107130[0:SpR:106967.0,792.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)),x,y))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)),y,x,t_a)),t_a)*.
% 300.12/300.65 107129[0:SpR:106967.0,793.0] || -> hBOOL(hAPP(c_False,v_sko__Hoare__Mirabelle__Xescape__2(u,c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)),x,y))) c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_fun(w,tc_bool)),y,x,t_a)),t_a)*.
% 300.12/300.65 109823[0:SpL:106741.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_False),v)) -> c_Hoare__Mirabelle_Ohoare__derivs(w,x,y) hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastAtMost(x,w,tc_fun(tc_Hoare__Mirabelle_Otriple(y),tc_bool)),u)),v))*.
% 300.12/300.65 109777[0:SpR:106741.1,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> c_Hoare__Mirabelle_Ohoare__derivs(y,z,x1) hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_SetInterval_Oord__class_OatLeastAtMost(z,y,tc_fun(tc_Hoare__Mirabelle_Otriple(x1),tc_bool)),x,u)))*.
% 300.12/300.65 109776[0:SpR:106741.1,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> c_Hoare__Mirabelle_Ohoare__derivs(y,z,x1) hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_SetInterval_Oord__class_OatLeastAtMost(z,y,tc_fun(tc_Hoare__Mirabelle_Otriple(x1),tc_bool)),x,u)),c_False))*.
% 300.12/300.65 110862[0:SpR:42995.0,24260.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_HOL_Ominus__class_Ominus(hAPP(c_fequal(u),x),tc_fun(u,tc_bool))),hAPP(c_Set_Oinsert(x,u),y))))*.
% 300.12/300.65 110861[0:SpR:42995.0,24259.0] || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_COMBK(c_False,tc_bool,u)),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_HOL_Ominus__class_Ominus(hAPP(c_fequal(u),w),tc_fun(u,tc_bool))),x),hAPP(c_Set_Oinsert(w,u),y))))*.
% 300.12/300.65 110848[0:SpR:42995.0,361.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y))* -> hBOOL(c_in(c_COMBK(c_False,tc_bool,v),hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(v),u),tc_fun(v,tc_bool)),y,z),x),z))*.
% 300.12/300.65 111422[0:Res:87803.2,364.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(tc_fun(v,w)) class_HOL_Oord(w) || -> hBOOL(hAPP(hAPP(c_lessequals(w),hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),tc_fun(v,w)),y)),hAPP(c_Orderings_Obot__class_Obot(u),y)))*.
% 300.12/300.65 111408[0:Res:87803.2,58.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Opreorder(v) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),c_Orderings_Obot__class_Obot(u)),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)),w))*.
% 300.12/300.65 111407[0:Res:87803.2,485.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Opreorder(v) || hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(u)),w)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)),w))*.
% 300.12/300.65 111406[0:Res:87803.2,52.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),w),c_Orderings_Obot__class_Obot(u))).
% 300.12/300.65 111405[0:Res:87803.2,484.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)))* -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Orderings_Obot__class_Obot(u))).
% 300.12/300.65 111437[0:SSi:111395.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Obounded__lattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,tc_bool)),c_Orderings_Obot__class_Obot(u)),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),tc_fun(v,tc_bool))),w))*.
% 300.12/300.65 111438[0:SSi:111394.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Obounded__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(v,tc_bool)),c_Orderings_Obot__class_Obot(u)),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(v,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),tc_fun(v,tc_bool))),w))*.
% 300.12/300.65 111650[0:Res:87806.2,364.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(tc_fun(v,w)) class_HOL_Oord(w) || -> hBOOL(hAPP(hAPP(c_lessequals(w),hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),tc_fun(v,w)),y)),hAPP(c_Orderings_Otop__class_Otop(u),y)))*.
% 300.12/300.65 111636[0:Res:87806.2,58.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Opreorder(v) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),c_Orderings_Otop__class_Otop(u)),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),v)),w))*.
% 300.12/300.65 111635[0:Res:87806.2,485.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Opreorder(v) || hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(u)),w)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),v)),w))*.
% 300.12/300.65 111634[0:Res:87806.2,52.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),v)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),w),c_Orderings_Otop__class_Otop(u))).
% 300.12/300.65 111633[0:Res:87806.2,484.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),v)))* -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Orderings_Otop__class_Otop(u))).
% 300.12/300.65 111671[0:SSi:111623.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Obounded__lattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(u)),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(v,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),tc_fun(v,tc_bool))),w))*.
% 300.12/300.65 111672[0:SSi:111622.1,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] class_Lattices_Obounded__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(u)),w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(v,tc_bool)),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),tc_fun(v,tc_bool))),w))*.
% 300.12/300.65 111884[0:Res:87817.2,364.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(tc_fun(v,w)) class_HOL_Oord(w) || -> hBOOL(hAPP(hAPP(c_lessequals(w),hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),tc_fun(v,w)),x)),hAPP(y,x)))*.
% 300.12/300.65 111870[0:Res:87817.2,58.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Opreorder(v) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),w),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v)),x))*.
% 300.12/300.65 111868[0:Res:87817.2,52.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),w),x))*.
% 300.12/300.65 111867[0:Res:87817.2,484.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v)))* -> hBOOL(hAPP(hAPP(c_lessequals(v),w),x))*.
% 300.12/300.65 112138[0:Res:87818.2,364.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(tc_fun(v,w)) class_HOL_Oord(w) || -> hBOOL(hAPP(hAPP(c_lessequals(w),hAPP(c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),tc_fun(v,w)),x)),hAPP(y,x)))*.
% 300.12/300.65 112124[0:Res:87818.2,58.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Opreorder(v) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),w),x))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v)),x))*.
% 300.12/300.65 112122[0:Res:87818.2,52.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v)))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(v),w),x))*.
% 300.12/300.65 112121[0:Res:87818.2,484.1] class_Lattices_Obounded__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) class_Orderings_Oorder(v) || hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v)))* -> hBOOL(hAPP(hAPP(c_lessequals(v),w),x))*.
% 300.12/300.65 112404[0:SpL:249.0,99791.1] || hBOOL(c_in(v_x,c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),v_x),tc_fun(v,tc_bool)),t_a))* hBOOL(hAPP(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),v_x))) -> .
% 300.12/300.65 113043[0:SpR:5393.2,24260.0] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y))))*.
% 300.12/300.65 113042[0:SpR:5393.2,24259.0] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y))))*.
% 300.12/300.65 113032[0:SpR:5393.2,361.1] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x,y))* -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y,z),x),z))*.
% 300.12/300.65 113559[0:SpL:8806.0,461.0] || equal(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),hAPP(v,w))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool))),w),w)**.
% 300.12/300.65 113915[0:SpR:125.1,5396.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),v)),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(w,u),v))),hAPP(c_Complete__Lattice_OInf__class_OInf(u),v))**.
% 300.12/300.65 113741[0:SpR:5396.2,24260.0] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v))))*.
% 300.12/300.65 113740[0:SpR:5396.2,24259.0] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),v))))*.
% 300.12/300.65 113730[0:SpR:5396.2,361.1] class_Lattices_Olower__semilattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x,y))* -> hBOOL(c_in(w,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),y,z),x),z))*.
% 300.12/300.65 114212[0:SpR:5562.2,24260.0] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y))))*.
% 300.12/300.65 114211[0:SpR:5562.2,24259.0] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y))))*.
% 300.12/300.65 114201[0:SpR:5562.2,361.1] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),x,y))* -> hBOOL(c_in(v,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y,z),x),z))*.
% 300.12/300.65 114828[0:SpR:276.1,5564.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(c_Complete__Lattice_OSup__class_OSup(u),v)),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(w,u),v))),hAPP(c_Complete__Lattice_OSup__class_OSup(u),v))**.
% 300.12/300.65 114673[0:SpR:5564.2,24260.0] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),v))))*.
% 300.12/300.65 114672[0:SpR:5564.2,24259.0] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || -> hBOOL(hAPP(hAPP(c_lessequals(tc_bool),v),hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),v))))*.
% 300.12/300.65 114662[0:SpR:5564.2,361.1] class_Lattices_Oupper__semilattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),x,y))* -> hBOOL(c_in(w,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),y,z),x),z))*.
% 300.12/300.65 115702[0:SpL:8979.0,461.0] || equal(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),hAPP(v,w))* c_Record_Oiso__tuple__update__accessor__cong__assist(x,v,y,z)* -> equal(hAPP(hAPP(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool))),w),w)**.
% 300.12/300.65 856[0:Res:826.1,778.0] || c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,u,t_a)),t_a)* -> hBOOL(hAPP(hAPP(u,v_sko__Hoare__Mirabelle__Xconseq2__1(v_Q,u)),v_sko__Hoare__Mirabelle__Xconseq2__2(v_Q,u)))*.
% 300.12/300.65 5125[0:Res:733.1,1141.0] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastLessThan(v,c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(w,x),hAPP(c_HOL_Oord__class_Oless(u),v))),u),c_COMBK(c_False,tc_bool,u))** hBOOL(hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_HOL_Oord__class_Oless(u),v)),c_False)).
% 300.12/300.65 5220[0:Res:724.1,1141.0] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(v,c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(w,x),hAPP(c_lessequals(u),v))),u),c_COMBK(c_False,tc_bool,u))** hBOOL(hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_lessequals(u),v)),c_False)).
% 300.12/300.65 5255[0:Res:734.1,1141.0] class_Orderings_Oorder(u) || -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(w,x),hAPP(c_HOL_Oord__class_Oless(u),v))),u),c_COMBK(c_False,tc_bool,u))** hBOOL(hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_HOL_Oord__class_Oless(u),v)),c_False)).
% 300.12/300.65 5942[0:Res:165.2,1141.0] class_Lattices_Olower__semilattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),c_ATP__Linkup_Osko__Set__Xall__bool__eq__1__1(hAPP(c_Set_Oinsert(w,x),hAPP(c_lessequals(u),v)))),v)** -> hBOOL(hAPP(hAPP(c_Set_Oinsert(w,x),hAPP(c_lessequals(u),v)),c_False)).
% 300.12/300.65 9151[0:MRR:9147.2,667.0] class_Orderings_Olinorder(u) || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(v,u),w),u) -> hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(hAPP(c_Set_Oinsert(v,u),w),u),w,u))* equal(c_Finite__Set_Olinorder__class_OMax(hAPP(c_Set_Oinsert(v,u),w),u),v).
% 300.12/300.65 9393[0:MRR:9389.2,667.0] class_Orderings_Olinorder(u) || c_Finite__Set_Ofinite(hAPP(c_Set_Oinsert(v,u),w),u) -> hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(hAPP(c_Set_Oinsert(v,u),w),u),w,u))* equal(c_Finite__Set_Olinorder__class_OMin(hAPP(c_Set_Oinsert(v,u),w),u),v).
% 300.12/300.65 9547[0:SpR:770.0,361.1] || hBOOL(c_in(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_fequal(v),w)),x,y)) -> hBOOL(c_in(hAPP(c_Set_Oinsert(w,v),u),hAPP(c_Set_Oimage(c_Set_Oinsert(w,v),y,z),x),z))*.
% 300.12/300.65 9532[0:SpR:770.0,418.1] || hBOOL(c_in(u,hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_fequal(w),u)),w))* -> equal(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),hAPP(c_fequal(w),u)),hAPP(c_Set_Oinsert(u,w),v)).
% 300.12/300.65 10795[0:SpR:771.1,361.1] || hBOOL(c_in(u,v,w))* -> equal(u,c_COMBK(c_False,tc_bool,x))* hBOOL(c_in(hAPP(c_fequal(y),z),hAPP(c_Set_Oimage(c_Set_Oimage(c_COMBK(z,y,x),x,y),w,x1),v),x1))*.
% 300.12/300.65 11080[0:SpR:249.0,4377.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(y,tc_bool)),u),tc_fun(y,tc_bool)),w,z),v),hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(y,tc_bool)),u)))*.
% 300.12/300.65 11407[0:SpR:349.1,4377.1] class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),x,y)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y,z),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)))*.
% 300.12/300.65 11584[0:SpR:48.1,4377.1] class_Lattices_Olower__semilattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x,y)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y,z),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)))*.
% 300.12/300.65 11771[0:SpR:350.1,4377.1] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),x,y)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y,z),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)))*.
% 300.12/300.65 11993[0:SpR:47.1,4377.1] class_Lattices_Olattice(u) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),x,y)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y,z),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)))*.
% 300.12/300.65 12197[0:SpR:276.1,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Complete__Lattice_OSup__class_OSup(u),v),w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),x,z),w),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(y,u),v))))*.
% 300.12/300.65 12487[0:SpR:125.1,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Complete__Lattice_OInf__class_OInf(u),v),w,x)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),x,z),w),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(y,u),v))))*.
% 300.12/300.65 12688[0:SpR:773.1,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,u),hAPP(c_fequal(u),w)),x,y)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),y,z),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)))*.
% 300.12/300.65 12807[0:SpR:772.1,4377.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_Set_Oinsert(v,u),hAPP(c_fequal(u),w)),x,y)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),y,z),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)))*.
% 300.12/300.65 13640[0:SpR:774.1,4377.1] || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> hBOOL(c_in(v,y,u)) hBOOL(hAPP(hAPP(c_Set_Oimage(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(v,u),y),tc_fun(u,tc_bool)),x,z),w),y))*.
% 300.12/300.65 14478[0:SpR:335.1,35.0] class_HOL_Ominus(u) || -> equal(c_Fun_Ofun__upd(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(t_a,u)),w),v_x,hAPP(c_HOL_Ominus__class_Ominus(hAPP(v,v_x),u),hAPP(w,v_x)),x,y),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(t_a,u)),w))**.
% 300.12/300.65 15062[0:SpL:1091.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_COMBK(c_False,tc_bool,v)),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v)),u)),w))*.
% 300.12/300.65 15061[0:SpL:279.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),u)),w))*.
% 300.12/300.65 15060[0:SpL:167.1,503.1] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),w))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)),w))*.
% 300.12/300.65 15059[0:SpL:168.1,503.1] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)),w))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),v)),w))*.
% 300.12/300.65 15057[0:SpL:1597.1,503.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),x)),w))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_fequal(u),x),v)),w))*.
% 300.12/300.65 15055[0:SpL:342.1,503.1] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),w))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),v)),w))*.
% 300.12/300.65 15054[0:SpL:343.1,503.1] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)),w))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),v)),w))*.
% 300.12/300.65 15051[0:SpL:1923.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool)))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),v),u)),c_Orderings_Otop__class_Otop(tc_fun(w,tc_bool))))*.
% 300.12/300.65 15039[0:SpL:5674.2,503.1] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(u)),w)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),v)),w))*.
% 300.12/300.65 15038[0:SpL:5789.2,503.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(u)),w)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),v)),w))*.
% 300.12/300.65 15028[0:SpL:685.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_COMBK(c_False,tc_bool,w))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),u)),c_COMBK(c_False,tc_bool,w)))*.
% 300.12/300.65 15022[0:SpL:5441.2,503.1] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(u)),w)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),v)),w))*.
% 300.12/300.65 15021[0:SpL:5861.2,503.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(u)),w)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),v)),w))*.
% 300.12/300.65 15017[0:SpL:5430.2,503.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Orderings_Obot__class_Obot(u))) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),v)),c_Orderings_Obot__class_Obot(u)))*.
% 300.12/300.65 15014[0:SpL:683.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(u)),c_COMBK(c_False,tc_bool,u))) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(u),v)),c_COMBK(c_False,tc_bool,u)))*.
% 300.12/300.65 15013[0:SpL:682.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(u)),c_COMBK(c_False,tc_bool,u))) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(u),v)),c_COMBK(c_False,tc_bool,u)))*.
% 300.12/300.65 15011[0:SpL:699.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_fequal(v),w)),c_COMBK(c_False,tc_bool,v))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(w,v),u)),c_COMBK(c_False,tc_bool,v)))*.
% 300.12/300.65 15005[0:SpL:357.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(u),v)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))*.
% 300.12/300.65 15004[0:SpL:441.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(u)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(u),v)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))))*.
% 300.12/300.65 15002[0:SpL:5685.2,503.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Orderings_Otop__class_Otop(u))) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),v)),c_Orderings_Otop__class_Otop(u)))*.
% 300.12/300.65 14990[0:SpL:1597.1,503.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(hAPP(c_fequal(u),w),x)),w))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastAtMost(x,x,u),v)),w))*.
% 300.12/300.65 14989[0:SpL:2578.1,503.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(hAPP(c_fequal(u),w),x)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),v)),x))*.
% 300.12/300.65 14988[0:SpL:2594.1,503.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),x)),w))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(c_SetInterval_Oord__class_OatLeastAtMost(x,x,u),v)),w))*.
% 300.12/300.65 14985[0:SpL:2578.1,503.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),x)),x))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_fequal(u),w),v)),x))*.
% 300.12/300.65 15520[0:Res:222.3,446.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Finite__Set_Olinorder__class_OMin(w,u)))* -> equal(c_Finite__Set_Olinorder__class_OMin(w,u),v).
% 300.12/300.65 15513[0:Res:222.3,530.0] class_Orderings_Olinorder(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)) || hBOOL(c_in(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool))) c_Finite__Set_Ofinite(w,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)) -> c_Hoare__Mirabelle_Ohoare__derivs(v,c_Finite__Set_Olinorder__class_OMin(w,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),u)*.
% 300.12/300.65 15586[0:Res:221.3,446.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || hBOOL(c_in(v,w,u)) c_Finite__Set_Ofinite(w,u) hBOOL(hAPP(hAPP(c_lessequals(u),c_Finite__Set_Olinorder__class_OMax(w,u)),v))* -> equal(v,c_Finite__Set_Olinorder__class_OMax(w,u)).
% 300.12/300.65 15579[0:Res:221.3,530.0] class_Orderings_Olinorder(tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)) || hBOOL(c_in(v,w,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool))) c_Finite__Set_Ofinite(w,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)) -> c_Hoare__Mirabelle_Ohoare__derivs(c_Finite__Set_Olinorder__class_OMax(w,tc_fun(tc_Hoare__Mirabelle_Otriple(u),tc_bool)),v,u)*.
% 300.12/300.65 15576[0:Res:221.3,503.1] class_Orderings_Olinorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(v,c_Finite__Set_Olinorder__class_OMax(w,u)),w,u))* c_Finite__Set_Ofinite(w,u) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(v,u)),c_Finite__Set_Olinorder__class_OMax(w,u)))*.
% 300.12/300.65 15799[0:Res:323.2,768.0] || hBOOL(c_in(u,v,w))* -> hBOOL(c_in(u,x,w))* equal(hAPP(c_Set_Oimage(c_COMBK(y,z,w),w,z),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x)),hAPP(c_fequal(z),y))**.
% 300.12/300.65 15825[0:SpL:13736.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool))) -> equal(v,c_False) hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),c_SetInterval_Oord__class_OatLeastAtMost(v,c_False,tc_bool)))*.
% 300.12/300.65 16053[0:SpR:5293.1,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Set_Oinsert(z,u),y,v)),hAPP(c_fequal(u),z)))*.
% 300.12/300.65 16052[0:SpR:5161.1,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Set_Oinsert(z,u),y,v)),hAPP(c_fequal(u),z)))*.
% 300.12/300.65 16031[0:SpR:5278.2,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OInf__class_OInf(u),y,v)),c_Orderings_Otop__class_Otop(u)))*.
% 300.12/300.65 16030[0:SpR:5147.2,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OInf__class_OInf(u),y,v)),c_Orderings_Otop__class_Otop(u)))*.
% 300.12/300.65 16021[0:SpR:5277.2,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OSup__class_OSup(u),y,v)),c_Orderings_Obot__class_Obot(u)))*.
% 300.12/300.65 16020[0:SpR:5146.2,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Complete__Lattice_OSup__class_OSup(u),y,v)),c_Orderings_Obot__class_Obot(u)))*.
% 300.12/300.65 16008[0:SpR:1523.1,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Set_Oinsert(w,u),y,v)),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)))*.
% 300.12/300.65 16000[0:SpR:5398.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x),y,z))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(y,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),z,u)),v))*.
% 300.12/300.65 15996[0:SpR:11.1,434.2] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x),y,z))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(y,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),z,v)),w))*.
% 300.12/300.65 15993[0:SpR:3.1,434.2] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x),y,z))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(y,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),z,v)),w))*.
% 300.12/300.65 15984[0:SpR:2367.1,434.2] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x),y,z))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(y,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),z,v)),x))*.
% 300.12/300.65 15983[0:SpR:2281.1,434.2] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x),y,z))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(y,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),z,v)),x))*.
% 300.12/300.65 15978[0:SpR:1091.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),c_COMBK(c_False,tc_bool,y)),x,u)),c_COMBK(c_False,tc_bool,y)))*.
% 300.12/300.65 15977[0:SpR:279.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),x,u)),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))))*.
% 300.12/300.65 15976[0:SpR:167.1,434.2] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),z),y,v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),z)))*.
% 300.12/300.65 15975[0:SpR:168.1,434.2] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),z),y,v)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),z)))*.
% 300.12/300.65 15973[0:SpR:1597.1,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_fequal(u),z),y,v)),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),z)))*.
% 300.12/300.65 15971[0:SpR:342.1,434.2] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),z),y,v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),z)))*.
% 300.12/300.65 15970[0:SpR:343.1,434.2] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),z),y,v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),z)))*.
% 300.12/300.65 15965[0:SpR:1119.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_COMBK(c_False,tc_bool,v),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),y),x,u)),c_COMBK(c_False,tc_bool,v)))*.
% 300.12/300.65 15956[0:SpR:5527.2,434.2] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),x,v)),c_Orderings_Obot__class_Obot(u)))*.
% 300.12/300.65 15954[0:SpR:5674.2,434.2] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),y,v)),c_Orderings_Obot__class_Obot(u)))*.
% 300.12/300.65 15953[0:SpR:5789.2,434.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),y,v)),c_Orderings_Obot__class_Obot(u)))*.
% 300.12/300.65 15952[0:SpR:5279.1,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),z),y,v)),z))*.
% 300.12/300.65 15951[0:SpR:5148.1,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),z),y,v)),z))*.
% 300.12/300.65 15950[0:SpR:280.0,434.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),y),x,u)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))))*.
% 300.12/300.65 15946[0:SpR:5276.1,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(z,z,u)),y,v)),w))*.
% 300.12/300.65 15945[0:SpR:5145.1,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(z,z,u)),y,v)),w))*.
% 300.12/300.65 15937[0:SpR:5441.2,434.2] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),y,v)),c_Orderings_Otop__class_Otop(u)))*.
% 300.12/300.65 15936[0:SpR:5861.2,434.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),y,v)),c_Orderings_Otop__class_Otop(u)))*.
% 300.12/300.65 15934[0:SpR:5371.2,434.2] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),x,v)),c_Orderings_Otop__class_Otop(u)))*.
% 300.12/300.65 15905[0:SpR:1597.1,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_SetInterval_Oord__class_OatLeastAtMost(z,z,u),y,v)),hAPP(hAPP(c_fequal(u),w),z)))*.
% 300.12/300.65 15904[0:SpR:2578.1,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_SetInterval_Oord__class_OatLeastAtMost(z,z,u),y,v)),hAPP(hAPP(c_fequal(u),z),w)))*.
% 300.12/300.65 15903[0:SpR:2594.1,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_SetInterval_Oord__class_OatLeastAtMost(z,z,u),y,v)),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),z)))*.
% 300.12/300.65 15900[0:SpR:2578.1,434.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,hAPP(c_fequal(u),z),y,v)),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(z,z,u),w)))*.
% 300.12/300.65 16317[0:SpR:5293.1,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(c_fequal(u),z)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Set_Oinsert(z,u),y,v)))*.
% 300.12/300.65 16316[0:SpR:5161.1,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(c_fequal(u),z)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Set_Oinsert(z,u),y,v)))*.
% 300.12/300.65 16295[0:SpR:5278.2,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OInf__class_OInf(u),y,v)))*.
% 300.12/300.65 16294[0:SpR:5147.2,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OInf__class_OInf(u),y,v)))*.
% 300.12/300.65 16285[0:SpR:5277.2,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(u),y,v)))*.
% 300.12/300.65 16284[0:SpR:5146.2,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(u),y,v)))*.
% 300.12/300.65 16271[0:SpR:1523.1,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Set_Oinsert(w,u),y,v)))*.
% 300.12/300.65 16263[0:SpR:5398.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(w,tc_bool)),x),y,z))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),v),z,u)))*.
% 300.12/300.65 16259[0:SpR:11.1,264.2] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x),y,z))* -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),z,v)))*.
% 300.12/300.65 16256[0:SpR:3.1,264.2] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x),y,z))* -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),z,v)))*.
% 300.12/300.65 16247[0:SpR:2367.1,264.2] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x),y,z))* -> hBOOL(hAPP(hAPP(c_lessequals(v),x),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),z,v)))*.
% 300.12/300.65 16246[0:SpR:2281.1,264.2] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x),y,z))* -> hBOOL(hAPP(hAPP(c_lessequals(v),x),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),z,v)))*.
% 300.12/300.65 16241[0:SpR:1091.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_COMBK(c_False,tc_bool,y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(y,tc_bool)),c_COMBK(c_False,tc_bool,y)),x,u)))*.
% 300.12/300.65 16240[0:SpR:279.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(v,w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(y,tc_bool))),x,u)))*.
% 300.12/300.65 16239[0:SpR:167.1,264.2] class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),z)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),z),y,v)))*.
% 300.12/300.65 16238[0:SpR:168.1,264.2] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),z)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),z),y,v)))*.
% 300.12/300.65 16236[0:SpR:1597.1,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),z)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_fequal(u),z),y,v)))*.
% 300.12/300.65 16234[0:SpR:342.1,264.2] class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),z)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),z),y,v)))*.
% 300.12/300.65 16233[0:SpR:343.1,264.2] class_Lattices_Olattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),z)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),z),y,v)))*.
% 300.12/300.65 16228[0:SpR:1119.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_COMBK(c_False,tc_bool,v),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_COMBK(c_False,tc_bool,v)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),y),x,u)))*.
% 300.12/300.65 16219[0:SpR:5527.2,264.2] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),x,v)))*.
% 300.12/300.65 16217[0:SpR:5674.2,264.2] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),y,v)))*.
% 300.12/300.65 16216[0:SpR:5789.2,264.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Obot__class_Obot(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),y,v)))*.
% 300.12/300.65 16215[0:SpR:5279.1,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),z),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),z),y,v)))*.
% 300.12/300.65 16214[0:SpR:5148.1,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(w,w,u),x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),z),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),z),y,v)))*.
% 300.12/300.65 16213[0:SpR:280.0,264.2] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),y),x,u)))*.
% 300.12/300.65 16209[0:SpR:5276.1,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(z,z,u)),y,v)))*.
% 300.12/300.65 16208[0:SpR:5145.1,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),w),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(z,z,u)),y,v)))*.
% 300.12/300.65 16200[0:SpR:5441.2,264.2] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),y,v)))*.
% 300.12/300.65 16199[0:SpR:5861.2,264.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y))* -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),y,v)))*.
% 300.12/300.65 16197[0:SpR:5371.2,264.2] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(v),c_Orderings_Otop__class_Otop(u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),x,v)))*.
% 300.12/300.65 16168[0:SpR:1597.1,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(hAPP(c_fequal(u),w),z)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_SetInterval_Oord__class_OatLeastAtMost(z,z,u),y,v)))*.
% 300.12/300.65 16167[0:SpR:2578.1,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(hAPP(c_fequal(u),z),w)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_SetInterval_Oord__class_OatLeastAtMost(z,z,u),y,v)))*.
% 300.12/300.65 16166[0:SpR:2594.1,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(w,w,u),z)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_SetInterval_Oord__class_OatLeastAtMost(z,z,u),y,v)))*.
% 300.12/300.65 16163[0:SpR:2578.1,264.2] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(v) || hBOOL(c_in(w,x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(v),hAPP(c_SetInterval_Oord__class_OatLeastAtMost(z,z,u),w)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_fequal(u),z),y,v)))*.
% 300.12/300.65 16468[0:SpR:759.0,35.0] || -> equal(c_Fun_Ofun__upd(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_HOL_Ominus__class_Ominus(w,tc_fun(u,tc_bool)),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v),x,y),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v))**.
% 300.12/300.65 16606[0:SpL:8802.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),v),u)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)))*.
% 300.12/300.65 16677[0:SpL:8815.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_fequal(tc_bool),v)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,tc_bool),u)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)))*.
% 300.12/300.65 16797[0:SSi:16762.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(w,tc_bool))) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),u),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(w,tc_bool)),v)))* -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(w,tc_bool)),v),u).
% 300.12/300.65 16798[0:SSi:16760.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(w,tc_bool))) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(w,tc_bool)),v)),u))* -> equal(u,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(w,tc_bool)),v)).
% 300.12/300.65 16965[0:SpL:8975.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),v),u)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)))*.
% 300.12/300.65 17039[0:SpL:8988.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_fequal(tc_bool),v)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,tc_bool),u)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)))*.
% 300.12/300.65 17102[0:Res:412.1,444.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(x,u),w)),v))* -> equal(v,hAPP(c_Set_Oinsert(x,u),w)).
% 300.12/300.65 17090[0:SpR:613.0,412.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x))) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),hAPP(c_Set_Oinsert(y,u),x))))*.
% 300.12/300.65 17228[0:SpL:613.0,413.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),hAPP(c_Set_Oinsert(w,u),x))),y))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(v,u),x)),y)).
% 300.12/300.65 17388[0:SpR:125.1,172.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),v)),w)) -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(x,u),v))),w))*.
% 300.12/300.65 17817[0:Res:2.2,4686.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),z),v))),c_False))*.
% 300.12/300.65 17810[0:SpR:125.1,2.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),v)),w)) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(x,u),v))),w))*.
% 300.12/300.65 17920[0:SpL:9623.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),v),u)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)))*.
% 300.12/300.65 17996[0:SpL:9636.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_fequal(tc_bool),v)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,tc_bool),u)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)))*.
% 300.12/300.65 18171[0:Res:1.2,4686.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),hAPP(c_HOL_Oord__class_Oless(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),z))),c_False))*.
% 300.12/300.65 18273[0:SpL:9856.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),v),u)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)))*.
% 300.12/300.65 18351[0:SpL:9869.0,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_fequal(tc_bool),v)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Set_Oinsert(v,tc_bool),u)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)))*.
% 300.12/300.65 18663[0:SpR:276.1,478.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(c_Complete__Lattice_OSup__class_OSup(u),w))) -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(x,u),w))))*.
% 300.12/300.65 18882[0:SpR:276.1,185.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(c_Complete__Lattice_OSup__class_OSup(u),w))) -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(x,u),w))))*.
% 300.12/300.65 19583[0:SpL:276.1,476.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),w))),x))* -> hBOOL(hAPP(hAPP(c_lessequals(u),hAPP(c_Complete__Lattice_OSup__class_OSup(u),w)),x)).
% 300.12/300.65 19761[0:SpL:125.1,170.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(w,u),x))))* -> hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(c_Complete__Lattice_OInf__class_OInf(u),x))).
% 300.12/300.65 20409[0:SpR:613.0,115.1] || c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),x)),v) -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),hAPP(c_Set_Oinsert(y,v),x))),v)*.
% 300.12/300.65 20469[0:SpL:20134.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v)))*.
% 300.12/300.65 20495[0:SpL:20106.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(v) hBOOL(hAPP(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),c_COMBK(v,w,x))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),c_COMBK(v,w,x)))*.
% 300.12/300.65 20512[0:SpL:613.0,114.0] || c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),hAPP(c_Set_Oinsert(x,v),y))),v)* -> c_Finite__Set_Ofinite(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),y)),v).
% 300.12/300.65 20806[0:SpR:5292.1,435.1] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_HOL_Ominus__class_Ominus(z,tc_fun(u,tc_bool)),x,tc_fun(y,tc_bool))),z))*.
% 300.12/300.65 20805[0:SpR:5160.1,435.1] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_HOL_Ominus__class_Ominus(z,tc_fun(u,tc_bool)),x,tc_fun(y,tc_bool))),z))*.
% 300.12/300.65 20780[0:SpR:1010.2,435.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(u),x,tc_fun(y,tc_bool))),v))*.
% 300.12/300.65 20779[0:SpR:1009.2,435.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(u),x,tc_fun(y,tc_bool))),v))*.
% 300.12/300.65 20778[0:SpR:251.0,435.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_COMBC(y,z,x1,x2),x3),w,tc_fun(x,tc_bool))),hAPP(hAPP(y,u),x3)))*.
% 300.12/300.65 20757[0:SpR:611.0,435.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(z,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(x,c_Set_Oinsert(u,v),y,tc_fun(z,tc_bool))),hAPP(c_Set_Oinsert(u,v),w)))*.
% 300.12/300.65 20693[0:SpR:5430.2,435.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),w,tc_fun(x,tc_bool))),y))*.
% 300.12/300.65 20681[0:SpR:707.0,435.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_HOL_Ominus__class_Ominus(y,tc_fun(u,tc_bool)),w,tc_fun(x,tc_bool))),c_COMBK(c_False,tc_bool,u)))*.
% 300.12/300.65 20677[0:SpR:5685.2,435.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),w,tc_fun(x,tc_bool))),y))*.
% 300.12/300.65 20674[0:SpR:65.1,435.1] || hBOOL(c_in(u,v,w)) -> equal(u,x) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Fun_Ofun__upd(z,x,x1,x2,x3),w,tc_fun(y,tc_bool))),hAPP(z,u)))*.
% 300.12/300.65 20655[0:SpR:708.0,435.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,y),tc_fun(y,tc_bool)),w,tc_fun(x,tc_bool))),c_COMBK(c_False,tc_bool,y)))*.
% 300.12/300.65 20648[0:SpR:5538.2,435.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),x,tc_fun(y,tc_bool))),v))*.
% 300.12/300.65 20647[0:SpR:5860.2,435.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),x,tc_fun(y,tc_bool))),v))*.
% 300.12/300.65 20645[0:SpR:5360.2,435.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),x,tc_fun(y,tc_bool))),v))*.
% 300.12/300.65 20644[0:SpR:5792.2,435.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),x,tc_fun(y,tc_bool))),v))*.
% 300.12/300.65 21217[0:SpR:5292.1,265.1] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,u),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),z),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Ominus__class_Ominus(z,tc_fun(u,tc_bool)),x,tc_fun(y,tc_bool))))*.
% 300.12/300.65 21216[0:SpR:5160.1,265.1] class_Orderings_Oorder(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,v,u),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),z),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_HOL_Ominus__class_Ominus(z,tc_fun(u,tc_bool)),x,tc_fun(y,tc_bool))))*.
% 300.12/300.65 21190[0:SpR:1010.2,265.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(u),x,tc_fun(y,tc_bool))))*.
% 300.12/300.65 21189[0:SpR:1009.2,265.1] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(u),x,tc_fun(y,tc_bool))))*.
% 300.12/300.65 21188[0:SpR:251.0,265.1] || hBOOL(c_in(u,v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),hAPP(hAPP(y,u),z)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_COMBC(y,x1,x2,x3),z),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 21167[0:SpR:611.0,265.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),w),x,y)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(z,tc_bool)),hAPP(c_Set_Oinsert(u,v),w)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Set_Oinsert(u,v),y,tc_fun(z,tc_bool))))*.
% 300.12/300.65 21103[0:SpR:5430.2,265.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),y),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 21091[0:SpR:707.0,265.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(y,tc_fun(u,tc_bool)),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 21087[0:SpR:5685.2,265.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),y),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 21084[0:SpR:65.1,265.1] || hBOOL(c_in(u,v,w)) -> equal(u,x) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),hAPP(z,u)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Fun_Ofun__upd(z,x,x1,x2,x3),w,tc_fun(y,tc_bool))))*.
% 300.12/300.65 21065[0:SpR:708.0,265.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_COMBK(c_False,tc_bool,y)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(c_COMBK(c_False,tc_bool,y),tc_fun(y,tc_bool)),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 21058[0:SpR:5538.2,265.1] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),x,tc_fun(y,tc_bool))))*.
% 300.12/300.65 21057[0:SpR:5860.2,265.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),x,tc_fun(y,tc_bool))))*.
% 300.12/300.65 21055[0:SpR:5360.2,265.1] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),x,tc_fun(y,tc_bool))))*.
% 300.12/300.65 21054[0:SpR:5792.2,265.1] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(c_in(v,w,x)) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),v),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),x,tc_fun(y,tc_bool))))*.
% 300.12/300.65 21741[0:SpL:5292.1,352.0] class_Orderings_Oorder(u) || hBOOL(hAPP(v,w)) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,u),y,z))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),z,tc_fun(x1,tc_bool)),w))*.
% 300.12/300.65 21740[0:SpL:5160.1,352.0] class_Orderings_Oorder(u) || hBOOL(hAPP(v,w)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(x,x,u),y,z))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),z,tc_fun(x1,tc_bool)),w))*.
% 300.12/300.65 21708[0:SpL:1010.2,352.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(v,w))* hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(u),y,tc_fun(z,tc_bool)),w))*.
% 300.12/300.65 21707[0:SpL:1009.2,352.0] class_Orderings_Oorder(u) class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(hAPP(v,w))* hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OInf__class_OInf(u),y,tc_fun(z,tc_bool)),w))*.
% 300.12/300.65 21706[0:SpL:251.0,352.0] || hBOOL(hAPP(hAPP(hAPP(u,v),w),x))* hBOOL(c_in(v,y,z))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(y,hAPP(c_COMBC(u,x1,x2,x3),w),z,tc_fun(x4,tc_bool)),x))*.
% 300.12/300.65 21621[0:SpL:5430.2,352.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(v,w)) hBOOL(c_in(c_Orderings_Obot__class_Obot(u),x,y)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y,tc_fun(z,tc_bool)),w))*.
% 300.12/300.65 21605[0:SpL:5685.2,352.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(v,w)) hBOOL(c_in(c_Orderings_Otop__class_Otop(u),x,y)) -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y,tc_fun(z,tc_bool)),w))*.
% 300.12/300.65 21602[0:SpL:65.1,352.0] || hBOOL(hAPP(hAPP(u,v),w))* hBOOL(c_in(v,x,y))* -> equal(v,z)* hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Fun_Ofun__upd(u,z,x1,x2,x3),y,tc_fun(x4,tc_bool)),w))*.
% 300.12/300.65 21576[0:SpL:5538.2,352.0] class_Orderings_Otop(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(v,w))* hBOOL(c_in(v,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),y,tc_fun(z,tc_bool)),w))*.
% 300.12/300.65 21575[0:SpL:5860.2,352.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(v,w))* hBOOL(c_in(v,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),y,tc_fun(z,tc_bool)),w))*.
% 300.12/300.65 21573[0:SpL:5360.2,352.0] class_Orderings_Obot(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(v,w))* hBOOL(c_in(v,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),y,tc_fun(z,tc_bool)),w))*.
% 300.12/300.65 21572[0:SpL:5792.2,352.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(v,w))* hBOOL(c_in(v,x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),y,tc_fun(z,tc_bool)),w))*.
% 300.12/300.65 22212[0:Res:783.2,10583.0] || c_Hoare__Mirabelle_Ohoare__derivs(c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(u)),v,u) c_Hoare__Mirabelle_Ohoare__derivs(c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(u)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(u)),w),u)* -> c_Hoare__Mirabelle_Ohoare__derivs(x,hAPP(c_Set_Oinsert(w,tc_Hoare__Mirabelle_Otriple(u)),v),u)*.
% 300.12/300.65 22606[0:SpR:9869.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Set_Oinsert(u,tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool),v),y)),hAPP(c_Set_Oinsert(hAPP(c_fequal(tc_bool),u),w),hAPP(c_Set_Oimage(c_Set_Oinsert(u,tc_bool),v,w),y)))*.
% 300.12/300.65 22605[0:SpR:8988.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Set_Oinsert(u,tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool),v),y)),hAPP(c_Set_Oinsert(hAPP(c_fequal(tc_bool),u),w),hAPP(c_Set_Oimage(c_Set_Oinsert(u,tc_bool),v,w),y)))*.
% 300.12/300.65 22604[0:SpR:9636.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Set_Oinsert(u,tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool),v),y)),hAPP(c_Set_Oinsert(hAPP(c_fequal(tc_bool),u),w),hAPP(c_Set_Oimage(c_Set_Oinsert(u,tc_bool),v,w),y)))*.
% 300.12/300.65 22603[0:SpR:8815.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Set_Oinsert(u,tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool),v),y)),hAPP(c_Set_Oinsert(hAPP(c_fequal(tc_bool),u),w),hAPP(c_Set_Oimage(c_Set_Oinsert(u,tc_bool),v,w),y)))*.
% 300.12/300.65 22595[0:SpR:13523.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,w)),u),x)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),x)))*.
% 300.12/300.65 22594[0:SpR:17217.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,w,tc_bool)),u),x)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),x)))*.
% 300.12/300.65 22593[0:SpR:15401.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,c_False,tc_bool)),u),x)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),x)))*.
% 300.12/300.65 22592[0:SpR:17170.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,w,tc_bool)),u),x)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),x)))*.
% 300.12/300.65 22591[0:SpR:13524.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(w,c_False,tc_bool)),u),x)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),x)))*.
% 300.12/300.65 22582[0:SpR:12724.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_Set_Oinsert(c_False,tc_bool),x)),u),y)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),y)))*.
% 300.12/300.65 22581[0:SpR:13633.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))),u),x)),hAPP(c_Set_Oinsert(c_False,v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),x)))*.
% 300.12/300.65 22578[0:SpR:12684.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),w),u),x)),hAPP(c_Set_Oinsert(hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),w),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),x)))*.
% 300.12/300.65 22555[0:SpR:15486.1,405.0] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(u,v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),x)))*.
% 300.12/300.65 22552[0:SpR:20249.1,405.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),x)))*.
% 300.12/300.65 22551[0:SpR:20250.1,405.0] class_Lattices_Olattice(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),x)))*.
% 300.12/300.65 22550[0:SpR:20251.1,405.0] class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),x)))*.
% 300.12/300.65 22549[0:SpR:20246.1,405.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),x)))*.
% 300.12/300.65 22548[0:SpR:20247.1,405.0] class_Lattices_Olattice(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),x)))*.
% 300.12/300.65 22547[0:SpR:20248.1,405.0] class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),x)))*.
% 300.12/300.65 22545[0:SpR:20157.1,405.0] class_Orderings_Olinorder(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),x)))*.
% 300.12/300.65 22544[0:SpR:20158.1,405.0] class_Lattices_Olattice(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),x)))*.
% 300.12/300.65 22543[0:SpR:20159.1,405.0] class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),x)))*.
% 300.12/300.65 22542[0:SpR:20160.1,405.0] class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),x)))*.
% 300.12/300.65 22541[0:SpR:20161.1,405.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),x)))*.
% 300.12/300.65 22540[0:SpR:20162.1,405.0] class_Orderings_Opreorder(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Otop__class_Otop(tc_bool)),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),x)))*.
% 300.12/300.65 22537[0:SpR:20209.1,405.0] || -> equal(c_Orderings_Otop__class_Otop(tc_bool),u) equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_HOL_Oord__class_Oless(tc_bool),u),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),x)))*.
% 300.12/300.65 22530[0:SpR:20303.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),u),y)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),y)))*.
% 300.12/300.65 22529[0:SpR:20345.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x)),u),y)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),y)))*.
% 300.12/300.65 22528[0:SpR:20330.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_lessequals(tc_bool),x)),u),y)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),y)))*.
% 300.12/300.65 22527[0:SpR:20287.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(w,tc_bool),hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False)),u),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),x)))*.
% 300.12/300.65 22497[0:SpR:1461.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),w,x),hAPP(c_Set_Oinsert(hAPP(c_fequal(v),u),w),y)),hAPP(c_Set_Oinsert(hAPP(c_fequal(v),u),x),hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),w,x),y)))*.
% 300.12/300.65 22433[0:SpR:367.1,405.0] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),w),y)),hAPP(c_Set_Oinsert(v,x),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),y)))*.
% 300.12/300.65 22431[0:SpR:12280.1,405.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),w),y)),hAPP(c_Set_Oinsert(v,x),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w,x),y)))*.
% 300.12/300.65 22426[0:SpR:699.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),w,x),hAPP(c_Set_Oinsert(c_COMBK(c_False,tc_bool,v),w),y)),hAPP(c_Set_Oinsert(hAPP(c_fequal(v),u),x),hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),w,x),y)))*.
% 300.12/300.65 22424[0:SpR:540.1,405.0] class_Orderings_Obot(u) || -> equal(hAPP(c_Set_Oimage(c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),v,w),hAPP(c_Set_Oinsert(v_x,v),x)),hAPP(c_Set_Oinsert(c_Orderings_Obot__class_Obot(u),w),hAPP(c_Set_Oimage(c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),v,w),x)))*.
% 300.12/300.65 22423[0:SpR:443.1,405.0] class_Orderings_Otop(u) || -> equal(hAPP(c_Set_Oimage(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v,w),hAPP(c_Set_Oinsert(v_x,v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),w),hAPP(c_Set_Oimage(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v,w),x)))*.
% 300.12/300.65 22421[0:SpR:2659.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),w),y)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),x),hAPP(c_Set_Oimage(c_Set_Oinsert(u,v),w,x),y)))*.
% 300.12/300.65 22417[0:SpR:19.1,405.0] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),w),y)),hAPP(c_Set_Oinsert(v,x),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),y)))*.
% 300.12/300.65 22415[0:SpR:12562.1,405.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(u),w),y)),hAPP(c_Set_Oinsert(v,x),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w,x),y)))*.
% 300.12/300.65 22392[0:SpR:418.1,405.0] || hBOOL(c_in(u,v,w)) -> equal(hAPP(c_Set_Oimage(c_Set_Oinsert(u,w),x,y),hAPP(c_Set_Oinsert(v,x),z)),hAPP(c_Set_Oinsert(v,y),hAPP(c_Set_Oimage(c_Set_Oinsert(u,w),x,y),z)))*.
% 300.12/300.65 22389[0:SpR:34.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Fun_Ofun__upd(u,v,w,x,y),z,x1),hAPP(c_Set_Oinsert(v,z),x2)),hAPP(c_Set_Oinsert(w,x1),hAPP(c_Set_Oimage(c_Fun_Ofun__upd(u,v,w,x,y),z,x1),x2)))*.
% 300.12/300.65 22376[0:SpR:256.0,405.0] || -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,x),hAPP(c_Set_Oinsert(v,w),y)),hAPP(c_Set_Oinsert(v,x),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w,x),y)))*.
% 300.12/300.65 22369[0:SpR:613.0,405.0] || -> equal(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),hAPP(c_Set_Oinsert(y,v),z))),hAPP(c_Set_Oinsert(hAPP(u,y),w),hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oinsert(x,v),z))))*.
% 300.12/300.65 22347[0:SpR:405.0,613.0] || -> equal(hAPP(c_Set_Oinsert(hAPP(u,v),w),hAPP(c_Set_Oinsert(x,w),hAPP(c_Set_Oimage(u,y,w),z))),hAPP(c_Set_Oinsert(x,w),hAPP(c_Set_Oimage(u,y,w),hAPP(c_Set_Oinsert(v,y),z))))*.
% 300.12/300.65 22303[0:SpR:405.0,4528.1] || hBOOL(c_in(c_False,hAPP(c_Set_Oinsert(u,v),w),v))* -> hBOOL(hAPP(hAPP(c_Set_Oinsert(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),u),y),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),x),v,y),w)),c_False))*.
% 300.12/300.65 23047[0:SpL:251.0,461.0] || equal(hAPP(hAPP(u,hAPP(v,w)),x),hAPP(v,w))** c_Record_Oiso__tuple__update__accessor__cong__assist(y,v,z,x1)* -> equal(hAPP(hAPP(y,hAPP(c_COMBC(u,x2,x3,x4),x)),w),w)**.
% 300.12/300.65 23035[0:SpL:11.1,461.0] class_Lattices_Olattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),v) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y,z)* -> equal(hAPP(hAPP(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v)),w),w)**.
% 300.12/300.65 23032[0:SpL:3.1,461.0] class_Lattices_Olattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),v) c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y,z)* -> equal(hAPP(hAPP(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v)),w),w)**.
% 300.12/300.65 23023[0:SpL:2367.1,461.0] class_Lattices_Olattice(u) || equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w),w)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),y,z)* -> equal(hAPP(hAPP(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w)),w),w)**.
% 300.12/300.65 23022[0:SpL:2281.1,461.0] class_Lattices_Olattice(u) || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w),w)** c_Record_Oiso__tuple__update__accessor__cong__assist(x,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),y,z)* -> equal(hAPP(hAPP(x,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w)),w),w)**.
% 300.12/300.65 22936[0:SpL:13736.1,461.0] || equal(hAPP(u,c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,x)* -> equal(y,c_False) equal(hAPP(hAPP(v,u),c_SetInterval_Oord__class_OatLeastAtMost(y,c_False,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(y,c_False,tc_bool))**.
% 300.12/300.65 22929[0:SpL:13518.1,461.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(v,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,y)* -> equal(hAPP(hAPP(w,v),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)))**.
% 300.12/300.65 22928[0:SpL:13522.1,461.0] class_Orderings_Obot(u) || equal(hAPP(v,c_False),c_False) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,y)* -> equal(hAPP(hAPP(w,v),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u))),hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)))**.
% 300.12/300.65 22896[0:SpL:20106.1,461.0] || hBOOL(u) equal(hAPP(v,c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y)* -> equal(hAPP(hAPP(w,v),c_COMBK(u,z,x1)),c_COMBK(u,z,x1))**.
% 300.12/300.65 22875[0:SpL:20134.1,461.0] || hBOOL(u) equal(hAPP(v,c_Orderings_Otop__class_Otop(tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y)* -> equal(hAPP(hAPP(w,v),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u))**.
% 300.12/300.65 22797[0:SpL:5674.2,461.0] class_Orderings_Obot(u) class_Lattices_Olower__semilattice(u) || equal(hAPP(v,c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u))** c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),x,y)* -> equal(hAPP(hAPP(w,v),z),z)**.
% 300.12/300.65 22796[0:SpL:5789.2,461.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || equal(hAPP(v,c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u))** c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),x,y)* -> equal(hAPP(hAPP(w,v),z),z)**.
% 300.12/300.65 22776[0:SpL:5441.2,461.0] class_Orderings_Otop(u) class_Lattices_Oupper__semilattice(u) || equal(hAPP(v,c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(u))** c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),x,y)* -> equal(hAPP(hAPP(w,v),z),z)**.
% 300.12/300.65 22775[0:SpL:5861.2,461.0] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || equal(hAPP(v,c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(u))** c_Record_Oiso__tuple__update__accessor__cong__assist(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),x,y)* -> equal(hAPP(hAPP(w,v),z),z)**.
% 300.12/300.65 22767[0:SpL:683.1,461.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(v,c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(u)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Complete__Lattice_OInf__class_OInf(u),x,y)* -> equal(hAPP(hAPP(w,v),c_COMBK(c_False,tc_bool,u)),c_COMBK(c_False,tc_bool,u))**.
% 300.12/300.65 22766[0:SpL:682.1,461.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(v,c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Complete__Lattice_OSup__class_OSup(u),x,y)* -> equal(hAPP(hAPP(w,v),c_COMBK(c_False,tc_bool,u)),c_COMBK(c_False,tc_bool,u))**.
% 300.12/300.65 22757[0:SpL:357.1,461.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(v,c_Orderings_Otop__class_Otop(u)),c_Orderings_Otop__class_Otop(u)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Complete__Lattice_OSup__class_OSup(u),x,y)* -> equal(hAPP(hAPP(w,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))**.
% 300.12/300.65 22756[0:SpL:441.1,461.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(hAPP(v,c_Orderings_Obot__class_Obot(u)),c_Orderings_Obot__class_Obot(u)) c_Record_Oiso__tuple__update__accessor__cong__assist(w,c_Complete__Lattice_OInf__class_OInf(u),x,y)* -> equal(hAPP(hAPP(w,v),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))**.
% 300.12/300.65 22751[0:SpL:65.1,461.0] || equal(hAPP(u,hAPP(v,w)),hAPP(v,w))** c_Record_Oiso__tuple__update__accessor__cong__assist(x,c_Fun_Ofun__upd(v,y,z,x1,x2),x3,x4)* -> equal(w,y)* equal(hAPP(hAPP(x,u),w),w)**.
% 300.12/300.65 23176[0:SpR:20163.1,405.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),x)))*.
% 300.12/300.65 23201[0:SpR:20167.1,405.0] class_Orderings_Obot(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),x)))*.
% 300.12/300.65 23227[0:SpR:20177.0,405.0] || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),hAPP(c_Set_Oinsert(c_Finite__Set_Ofold1Set(w,hAPP(c_fequal(x),c_Orderings_Otop__class_Otop(tc_bool)),x),u),y)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),v),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),y)))*.
% 300.12/300.65 23248[0:SpR:472.0,248.0] || -> hBOOL(c_in(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oimage(x,y,v),z)),hAPP(c_Set_Oimage(c_Set_Oimage(c_Fun_Ocomp(u,x,v,w,y),y,w),x1,x2),c_Orderings_Otop__class_Otop(tc_fun(x1,tc_bool))),x2))*.
% 300.12/300.65 23321[0:SpR:20252.1,405.0] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Obot__class_Obot(u)),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),x)))*.
% 300.12/300.65 23346[0:SpR:20253.1,405.0] class_Lattices_Obounded__lattice(u) || -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Otop__class_Otop(u)),v),x)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,w),x)))*.
% 300.12/300.65 23413[0:SpR:46.0,248.0] || -> hBOOL(c_in(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oimage(x,y,v),z)),hAPP(c_Set_Oimage(c_Set_Oimage(c_COMBB(u,x,v,w,y),y,w),x1,x2),c_Orderings_Otop__class_Otop(tc_fun(x1,tc_bool))),x2))*.
% 300.12/300.65 23591[0:SpR:94.1,248.0] || -> hBOOL(c_in(u,v,w)) hBOOL(c_in(hAPP(c_Set_Oimage(x,w,y),v),hAPP(c_Set_Oimage(c_Set_Oimage(c_Fun_Ofun__upd(x,u,z,w,y),w,y),x1,x2),c_Orderings_Otop__class_Otop(tc_fun(x1,tc_bool))),x2))*.
% 300.12/300.65 23785[0:SpL:466.0,117.0] || c_Fun_Oinj__on(c_Fun_Ocomp(u,c_Fun_Ocomp(v,w,x,y,z),y,x1,z),x2,z,x1)* -> c_Fun_Oinj__on(c_Fun_Ocomp(u,v,y,x1,x),hAPP(c_Set_Oimage(w,z,x),x2),x,x1)*.
% 300.12/300.65 23788[0:Rew:23395.0,23784.1] || c_Fun_Oinj__on(c_Fun_Ocomp(c_Fun_Ocomp(u,v,w,x,y),z,y,x,x1),x2,x1,x)* -> c_Fun_Oinj__on(u,hAPP(c_Set_Oimage(c_COMBB(v,z,y,w,x1),x1,w),x2),w,x)*.
% 300.12/300.65 23861[0:SpR:257.1,1430.0] class_Lattices_Olattice(u) || -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,u)),v),w),x,y),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(v,v_x)),hAPP(w,v_x))))*.
% 300.12/300.65 24693[0:SSi:24684.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,v,tc_fun(w,tc_bool)))* c_Finite__Set_Ofinite(v,tc_fun(w,tc_bool)) hBOOL(hAPP(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(w,tc_bool)),v,tc_fun(w,tc_bool)),x))* -> hBOOL(hAPP(u,x))*.
% 300.12/300.65 24695[0:SSi:24657.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,tc_fun(u,tc_bool)))* c_Finite__Set_Ofinite(v,tc_fun(u,tc_bool)) -> equal(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),v,tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)).
% 300.12/300.65 24905[0:SpL:803.2,4686.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),c_Set_Oinsert(w,u)),c_False))*.
% 300.12/300.65 24903[0:SpL:803.2,408.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(c_in(x,c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),u)) -> hBOOL(c_in(x,c_SetInterval_Oord__class_OatLeastLessThan(v,w,u),u))* equal(x,w).
% 300.12/300.65 25090[0:SpL:802.2,4686.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* hBOOL(c_SetInterval_Oord__class_OatLeastAtMost(v,w,u)) -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),x,y),c_Set_Oinsert(v,u)),c_False))*.
% 300.12/300.65 25088[0:SpL:802.2,408.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w)) hBOOL(c_in(x,c_SetInterval_Oord__class_OatLeastAtMost(v,w,u),u)) -> hBOOL(c_in(x,c_SetInterval_Oord__class_OgreaterThanAtMost(v,w,u),u))* equal(x,v).
% 300.12/300.65 25192[0:SpL:771.1,181.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_fequal(u),w)))* c_Finite__Set_Ofinite(v,u) -> equal(v,c_COMBK(c_False,tc_bool,u)) c_Fun_Oinj__on(c_COMBK(w,u,u),v,u,u)*.
% 300.12/300.65 25297[0:SpL:20201.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.65 25273[0:SpR:20201.0,265.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 25272[0:SpR:20201.0,435.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 25350[0:SpL:20203.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.65 25323[0:SpR:20203.0,265.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 25322[0:SpR:20203.0,435.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 25385[0:SpL:20256.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,c_False,tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.65 25361[0:SpR:20256.0,265.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 25360[0:SpR:20256.0,435.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 25423[0:SpL:20258.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,c_False,tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.65 25396[0:SpR:20258.0,265.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 25395[0:SpR:20258.0,435.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 25499[0:SpL:13507.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.65 25487[0:SpR:13507.0,265.1] || hBOOL(c_in(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 25486[0:SpR:13507.0,435.1] || hBOOL(c_in(hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 300.12/300.65 25522[0:SpL:13508.0,352.0] || hBOOL(hAPP(c_False,u)) hBOOL(c_in(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.65 25510[0:SpR:13508.0,265.1] || hBOOL(c_in(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 25509[0:SpR:13508.0,435.1] || hBOOL(c_in(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(x,tc_bool))),c_False))*.
% 300.12/300.65 25635[0:SpL:20170.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_lessequals(tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.65 25618[0:SpR:20170.0,265.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 25617[0:SpR:20170.0,435.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 25673[0:SpL:20202.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.65 25646[0:SpR:20202.0,265.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 25645[0:SpR:20202.0,435.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 25713[0:SpL:20204.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.65 25684[0:SpR:20204.0,265.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 25683[0:SpR:20204.0,435.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 25741[0:SpL:20255.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),c_COMBK(c_False,tc_bool,v)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.65 25724[0:SpR:20255.0,265.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 25723[0:SpR:20255.0,435.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 25832[0:SpL:20257.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(v,v,tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.65 25805[0:SpR:20257.0,265.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 25804[0:SpR:20257.0,435.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 25872[0:SpL:20259.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(v,v,tc_bool)),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.65 25843[0:SpR:20259.0,265.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 25842[0:SpR:20259.0,435.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool)),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 25894[0:SpL:20260.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w,x))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool)),u))*.
% 300.12/300.65 25883[0:SpR:20260.0,265.1] || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 25882[0:SpR:20260.0,435.1] || hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))),v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(x,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 25923[0:SpL:20361.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),hAPP(c_fequal(w),c_Orderings_Otop__class_Otop(tc_bool))),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,tc_fun(z,tc_bool)),u))*.
% 300.12/300.65 25905[0:SpR:20361.0,265.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool))),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool))))*.
% 300.12/300.65 25904[0:SpR:20361.0,435.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool))),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 26347[0:SpL:411.0,430.0] || hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),y)),w))* -> hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),x),w)) hBOOL(c_in(u,y,w)).
% 300.12/300.65 26337[0:SpL:411.0,8163.0] || equal(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x)),hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),w))** -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),w),x,v).
% 300.12/300.65 26330[0:SpL:411.0,20047.0] || hBOOL(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),c_Orderings_Otop__class_Otop(tc_bool))))* -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(u,v),w))),c_Orderings_Otop__class_Otop(tc_bool)).
% 300.12/300.65 26747[0:SpL:410.0,4131.0] || hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x)),y))* -> hBOOL(c_in(y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),x),u)) equal(y,w).
% 300.12/300.65 26743[0:SpL:410.0,430.0] || hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),x),y)),w))* -> hBOOL(c_in(u,x,w)) hBOOL(c_in(u,hAPP(c_Set_Oinsert(v,w),y),w)).
% 300.12/300.65 26732[0:SpL:410.0,5903.0] || equal(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),w),x)),hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),x))** -> c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(u,tc_Hoare__Mirabelle_Otriple(v)),x),w,v).
% 300.12/300.65 26724[0:SpL:410.0,4686.0] || hBOOL(hAPP(c_Set_Oinsert(u,v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x)))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),y,z),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w)),c_False))*.
% 300.12/300.65 26720[0:SpR:759.0,410.0] || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),hAPP(c_HOL_Ominus__class_Ominus(x,tc_fun(u,tc_bool)),v))),hAPP(c_Set_Oinsert(w,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),x),v)))**.
% 300.12/300.65 26621[0:SpR:410.0,3059.1] || equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),w),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool))) -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(x,u),w)),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)))**.
% 300.12/300.65 26880[0:SpR:803.2,26483.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),u),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),v),v_x))) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(hAPP(c_Set_Oinsert(v_x,t_a),v),v_x),tc_bool)))*.
% 300.12/300.65 26879[0:SpR:802.2,26483.0] class_Orderings_Olinorder(tc_bool) || hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Set_Oinsert(v_x,t_a),u),v_x)),v)) -> hBOOL(hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Set_Oinsert(v_x,t_a),u),v_x),v,tc_bool)))*.
% 300.12/300.65 26969[0:SpR:3333.0,266.1] || hBOOL(c_in(u,v,w)) -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(x,w),hAPP(c_fequal(w),u)),tc_fun(w,tc_bool)),v),hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_fequal(w),x),tc_fun(w,tc_bool)),v))**.
% 300.12/300.65 26962[0:SpR:3059.1,266.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))) hBOOL(c_in(w,x,v))* -> equal(hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),tc_fun(v,tc_bool)),x),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),x))*.
% 300.12/300.65 27035[0:SpR:8803.0,265.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 27034[0:SpR:8803.0,435.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool))),c_SetInterval_Oord__class_OatLeastLessThan(y,c_False,tc_bool)))*.
% 300.12/300.65 27104[0:SpR:8976.0,265.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool))))*.
% 300.12/300.65 27103[0:SpR:8976.0,435.1] || hBOOL(c_in(u,v,w))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool),tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool))),c_SetInterval_Oord__class_OgreaterThanAtMost(y,c_False,tc_bool)))*.
% 300.12/300.65 27317[0:SpL:13604.1,352.0] || hBOOL(hAPP(u,c_False)) hBOOL(hAPP(c_False,v)) hBOOL(c_in(hAPP(c_Set_Oinsert(w,tc_bool),u),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OInf__class_OInf(tc_bool),y,tc_fun(z,tc_bool)),v))*.
% 300.12/300.65 27274[0:SpR:13604.1,265.1] || hBOOL(hAPP(u,c_False)) hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),u),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool))))*.
% 300.12/300.65 27273[0:SpR:13604.1,435.1] || hBOOL(hAPP(u,c_False)) hBOOL(c_in(hAPP(c_Set_Oinsert(v,tc_bool),u),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(y,tc_bool))),c_False))*.
% 300.12/300.65 27556[0:SpL:46.0,14495.0] || hBOOL(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oimage(u,v,w),hAPP(c_Set_Oimage(x,y,v),v_x)),tc_bool),hAPP(z,v_x)))* -> hBOOL(hAPP(c_Set_Oimage(c_COMBB(u,x,v,w,y),y,w),v_x))*.
% 300.12/300.65 27904[0:SpL:9869.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* hBOOL(c_in(x,hAPP(c_fequal(tc_bool),y),z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(y,tc_bool),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27903[0:SpL:8988.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* hBOOL(c_in(x,hAPP(c_fequal(tc_bool),y),z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(y,tc_bool),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27902[0:SpL:9636.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* hBOOL(c_in(x,hAPP(c_fequal(tc_bool),y),z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(y,tc_bool),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27901[0:SpL:8815.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* hBOOL(c_in(x,hAPP(c_fequal(tc_bool),y),z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(y,tc_bool),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27893[0:SpL:13516.1,331.1] || equal(u,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool))) hBOOL(c_in(u,v,w))* hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27892[0:SpL:13736.1,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* hBOOL(c_in(x,c_Orderings_Otop__class_Otop(tc_bool),y)) -> equal(u,c_False) hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27885[0:SpL:13518.1,331.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,w))* hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27884[0:SpL:13522.1,331.1] class_Orderings_Obot(u) || hBOOL(c_in(hAPP(c_lessequals(u),c_Orderings_Obot__class_Obot(u)),v,w))* hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27877[0:SpL:13552.0,331.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool))),w,x))* hBOOL(c_in(y,c_False,z)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27876[0:SpL:12758.0,331.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),v,w))* hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27873[0:SpL:13539.0,331.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_lessequals(tc_bool),c_False)),v,w))* hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27872[0:SpL:12721.0,331.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),hAPP(c_fequal(tc_bool),c_False)),v,w))* hBOOL(c_in(x,c_False,y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27845[0:SpL:20106.1,331.1] || hBOOL(u) hBOOL(c_in(c_COMBK(u,v,w),x,y))* hBOOL(c_in(z,c_Orderings_Otop__class_Otop(tc_bool),x1)) -> hBOOL(c_in(z,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,tc_fun(x1,tc_bool)),x1))*.
% 300.12/300.65 27820[0:SpL:20245.0,331.1] || hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* hBOOL(c_in(x,c_Orderings_Otop__class_Otop(tc_bool),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27813[0:SpL:20156.0,331.1] || hBOOL(c_in(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),v,w))* hBOOL(c_in(x,c_Orderings_Otop__class_Otop(tc_bool),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27810[0:SpL:20134.1,331.1] || hBOOL(u) hBOOL(c_in(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w))* hBOOL(c_in(x,c_Orderings_Otop__class_Otop(tc_bool),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27799[0:SpL:15551.0,331.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,tc_bool),c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool)),v,w))* hBOOL(c_in(x,u,y))* -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27798[0:SpL:12263.0,331.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(c_False,tc_bool),u),v,w))* hBOOL(c_in(x,hAPP(c_Complete__Lattice_OSup__class_OSup(tc_bool),u),y))* -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27766[0:SpL:1461.0,331.1] || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) hBOOL(c_in(y,hAPP(c_fequal(u),v),z)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Set_Oinsert(v,u),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27757[0:SpL:2160.0,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,u,y))* -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(z,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(z,tc_bool))),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27755[0:SpL:9853.0,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,u,y))* -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(z,z,tc_bool)),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27754[0:SpL:8972.0,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,u,y))* -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(z,c_False,tc_bool)),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27753[0:SpL:9620.0,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,u,y))* -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(z,z,tc_bool)),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27752[0:SpL:8799.0,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,u,y))* -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(z,c_False,tc_bool)),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27748[0:SpL:1581.0,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,hAPP(hAPP(c_fequal(y),u),z),x1))* -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_fequal(y),z),w,tc_fun(x1,tc_bool)),x1))*.
% 300.12/300.65 27740[0:SpL:1923.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) hBOOL(c_in(x,y,z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(u,tc_bool)),y),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27731[0:SpL:187.1,331.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) hBOOL(c_in(x,c_Orderings_Obot__class_Obot(u),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),z),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27729[0:SpL:12564.1,331.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Obot__class_Obot(u),v,w)) hBOOL(c_in(x,c_Orderings_Obot__class_Obot(u),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),z),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27728[0:SpL:186.1,331.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x))* hBOOL(c_in(y,c_Orderings_Obot__class_Obot(u),z)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),c_Orderings_Obot__class_Obot(u)),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27719[0:SpL:9856.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w))* hBOOL(c_in(x,y,z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),y),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27718[0:SpL:8975.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w))* hBOOL(c_in(x,y,z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),y),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27717[0:SpL:9623.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w))* hBOOL(c_in(x,y,z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),y),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27716[0:SpL:8802.0,331.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w))* hBOOL(c_in(x,y,z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_bool,tc_bool)),y),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27711[0:SpL:685.0,331.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) hBOOL(c_in(x,y,z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),y),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27710[0:SpL:684.0,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,u,y))* -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(z,tc_bool)),c_COMBK(c_False,tc_bool,z)),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27706[0:SpL:278.1,331.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(v,w,x))* hBOOL(c_in(y,c_Orderings_Otop__class_Otop(u),z)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),c_Orderings_Otop__class_Otop(u)),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27703[0:SpL:277.1,331.1] class_Lattices_Obounded__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) hBOOL(c_in(x,c_Orderings_Otop__class_Otop(u),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),z),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27701[0:SpL:12282.1,331.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(u),v,w)) hBOOL(c_in(x,c_Orderings_Otop__class_Otop(u),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),z),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27696[0:SpL:683.1,331.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) hBOOL(c_in(x,c_Orderings_Otop__class_Otop(u),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(u),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27695[0:SpL:682.1,331.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) hBOOL(c_in(x,c_Orderings_Obot__class_Obot(u),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(u),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27693[0:SpL:699.0,331.1] || hBOOL(c_in(c_COMBK(c_False,tc_bool,u),v,w)) hBOOL(c_in(x,hAPP(c_fequal(u),y),z)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(y,u),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27688[0:SpL:2659.0,331.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) hBOOL(c_in(x,c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Set_Oinsert(z,u),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27686[0:SpL:357.1,331.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) hBOOL(c_in(x,c_Orderings_Otop__class_Otop(u),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OSup__class_OSup(u),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27685[0:SpL:441.1,331.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v,w)) hBOOL(c_in(x,c_Orderings_Obot__class_Obot(u),y)) -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(u),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 27658[0:SpL:728.0,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(x,hAPP(c_fequal(y),u),z))* -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_COMBC(c_fequal(y),y,y,tc_bool),w,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 27657[0:SpL:418.1,331.1] || hBOOL(c_in(u,v,w))* hBOOL(c_in(v,x,y))* hBOOL(c_in(z,v,x1))* -> hBOOL(c_in(z,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Set_Oinsert(u,w),y,tc_fun(x1,tc_bool)),x1))*.
% 300.12/300.65 28295[0:SpR:28266.1,405.0] || equal(c_False,u) -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),hAPP(c_Set_Oinsert(x,v),y)),hAPP(c_Set_Oinsert(u,w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),y)))*.
% 300.12/300.65 28652[0:SpR:13526.1,326.1] || hBOOL(u) hBOOL(c_in(c_COMBK(u,v,w),x,y))* -> equal(hAPP(c_Set_Oinsert(c_False,z),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),y,z),x)),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),y,z),x))**.
% 300.12/300.65 28628[0:SpR:13730.1,326.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> equal(u,c_False) equal(hAPP(c_Set_Oinsert(c_False,x),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v)),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),w,x),v))**.
% 300.12/300.65 28591[0:SpR:20174.0,326.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),u),v),w,x))* -> equal(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),y),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y),w)),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),x,y),w))**.
% 300.12/300.65 28547[0:SpR:714.1,326.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> equal(hAPP(c_Set_Oinsert(v,y),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),x,y),w)),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(u),x,y),w))**.
% 300.12/300.65 28546[0:SpR:710.1,326.1] class_Complete__Lattice_Ocomplete__lattice(u) || hBOOL(c_in(hAPP(c_fequal(u),v),w,x)) -> equal(hAPP(c_Set_Oinsert(v,y),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),x,y),w)),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(u),x,y),w))**.
% 300.12/300.65 28520[0:SpR:12624.0,326.1] || hBOOL(c_in(u,v,w)) -> equal(hAPP(c_Set_Oinsert(u,x),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),w,x),v)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),w,x),v))**.
% 300.12/300.65 28493[0:SpR:12637.0,326.1] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),u,v)) -> equal(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),v,w),u)),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),v,w),u))**.
% 300.12/300.65 28425[0:SpR:712.1,326.1] class_Orderings_Oorder(u) || hBOOL(c_in(v,w,x)) -> equal(hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(v,v,u),y),hAPP(c_Set_Oimage(c_fequal(u),x,y),w)),hAPP(c_Set_Oimage(c_fequal(u),x,y),w))**.
% 300.12/300.65 28743[0:SpR:28267.1,405.0] || equal(c_False,u) -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w,x),hAPP(c_Set_Oinsert(u,w),y)),hAPP(c_Set_Oinsert(u,x),hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),v),w,x),y)))*.
% 300.12/300.65 28831[0:SpR:28268.1,405.0] || equal(c_False,u) -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w,x),hAPP(c_Set_Oinsert(u,w),y)),hAPP(c_Set_Oinsert(v,x),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v),w,x),y)))*.
% 300.12/300.65 28960[0:SpR:28269.1,405.0] || equal(c_False,u) -> equal(hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),hAPP(c_Set_Oinsert(x,v),y)),hAPP(c_Set_Oinsert(x,w),hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),y)))*.
% 300.12/300.65 29530[0:SpR:29202.1,405.0] || equal(c_False,u) -> equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w,x),hAPP(c_Set_Oinsert(y,w),z)),hAPP(c_Set_Oinsert(c_False,x),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w,x),z)))*.
% 300.12/300.65 30315[0:SpR:13526.1,159.0] || hBOOL(u) -> equal(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Fun_Ofun__upd(v,w,c_COMBK(u,x,y),z,x1),x1,x2,z),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,x1,x2,z),w,c_False,z,x2))*.
% 300.12/300.65 30291[0:SpR:13730.1,159.0] || -> equal(u,c_False) equal(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Fun_Ofun__upd(v,w,c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),v,y,z,x),w,c_False,x,z))*.
% 300.12/300.65 30254[0:SpR:20174.0,159.0] || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Fun_Ofun__upd(u,v,hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),x),y,z),z,x1,y),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,z,x1,y),v,c_Orderings_Otop__class_Otop(tc_bool),y,x1))*.
% 300.12/300.65 30210[0:SpR:714.1,159.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(u),c_Fun_Ofun__upd(v,w,hAPP(c_fequal(u),x),y,z),z,x1,y),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OSup__class_OSup(u),v,z,x1,y),w,x,y,x1))*.
% 300.12/300.65 30209[0:SpR:710.1,159.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> equal(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(u),c_Fun_Ofun__upd(v,w,hAPP(c_fequal(u),x),y,z),z,x1,y),c_Fun_Ofun__upd(c_Fun_Ocomp(c_Complete__Lattice_OInf__class_OInf(u),v,z,x1,y),w,x,y,x1))*.
% 300.12/300.65 30180[0:SpR:12624.0,159.0] || -> equal(c_Fun_Ocomp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),c_Fun_Ofun__upd(u,v,w,x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),u,y,z,x),v,w,x,z))*.
% 300.12/300.65 30153[0:SpR:12637.0,159.0] || -> equal(c_Fun_Ocomp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),c_Fun_Ofun__upd(v,w,c_Orderings_Otop__class_Otop(tc_bool),x,y),y,z,x),c_Fun_Ofun__upd(c_Fun_Ocomp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,y,z,x),w,c_Orderings_Otop__class_Otop(tc_bool),x,z))*.
% 300.12/300.65 30084[0:SpR:712.1,159.0] class_Orderings_Oorder(u) || -> equal(c_Fun_Ocomp(c_fequal(u),c_Fun_Ofun__upd(v,w,x,y,z),z,x1,y),c_Fun_Ofun__upd(c_Fun_Ocomp(c_fequal(u),v,z,x1,y),w,c_SetInterval_Oord__class_OatLeastAtMost(x,x,u),y,x1))*.
% 300.12/300.65 30434[0:SpR:29751.1,405.0] || equal(c_False,u) -> equal(hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w,x),hAPP(c_Set_Oinsert(y,w),z)),hAPP(c_Set_Oinsert(c_False,x),hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w,x),z)))*.
% 300.12/300.65 30572[0:SpL:29192.1,331.1] || equal(c_False,u) hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(v,u,tc_bool),w,x))* hBOOL(c_in(y,c_False,z)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 30570[0:SpL:29192.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_SetInterval_Oord__class_OgreaterThanAtMost(w,v,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),c_SetInterval_Oord__class_OgreaterThanAtMost(w,v,tc_bool)))*.
% 300.12/300.65 30745[0:SpL:29740.1,331.1] || equal(c_False,u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(v,u,tc_bool),w,x))* hBOOL(c_in(y,c_False,z)) -> hBOOL(c_in(y,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(z,tc_bool)),z))*.
% 300.12/300.65 30743[0:SpL:29740.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(hAPP(hAPP(c_lessequals(u),c_False),c_SetInterval_Oord__class_OatLeastLessThan(w,v,tc_bool))) -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OSup__class_OSup(tc_bool),u)),c_SetInterval_Oord__class_OatLeastLessThan(w,v,tc_bool)))*.
% 300.12/300.65 33055[0:Res:8.1,59.1] class_Ring__and__Field_Oordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))* equal(x,v) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),w))*.
% 300.12/300.65 33054[0:Res:4.1,59.1] class_Orderings_Olinorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))* equal(v,x) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),w))*.
% 300.12/300.65 34806[0:Rew:341.0,34669.0] || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),v_x),hAPP(c_Set_Oinsert(v,u),w)))* equal(hAPP(c_Set_Oinsert(v,u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(u,tc_bool)),w),v_x)),c_False) -> hBOOL(x)*.
% 300.12/300.65 34896[0:SpR:29198.1,405.0] || equal(c_False,u) -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OgreaterThanAtMost(x,u,tc_bool),v),y)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),y)))*.
% 300.12/300.65 34990[0:SpR:29746.1,405.0] || equal(c_False,u) -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastLessThan(x,u,tc_bool),v),y)),hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_bool),w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),y)))*.
% 300.12/300.65 35143[0:Res:8.1,145.1] class_Ring__and__Field_Oordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))* equal(x,v) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),w))*.
% 300.12/300.65 35221[0:SpR:28358.1,405.0] || equal(c_False,u) -> equal(hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),hAPP(c_Set_Oinsert(hAPP(c_Set_Oinsert(u,tc_bool),x),v),y)),hAPP(c_Set_Oinsert(u,w),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),v,w),y)))*.
% 300.12/300.65 35295[0:SpL:35239.1,331.1] || equal(c_False,u) hBOOL(c_in(hAPP(c_fequal(tc_bool),u),v,w))* hBOOL(c_in(x,u,y))* -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 35293[0:SpL:35239.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(hAPP(hAPP(c_lessequals(u),v),hAPP(c_fequal(tc_bool),v)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),hAPP(c_fequal(tc_bool),v)))*.
% 300.12/300.65 35324[0:SpL:35267.1,331.1] || equal(c_False,u) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,u,tc_bool),v,w))* hBOOL(c_in(x,u,y))* -> hBOOL(c_in(x,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),w,tc_fun(y,tc_bool)),y))*.
% 300.12/300.65 35322[0:SpL:35267.1,503.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_False,v) hBOOL(hAPP(hAPP(c_lessequals(u),v),c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_bool)))* -> hBOOL(hAPP(hAPP(c_lessequals(u),c_Inductive_Ocomplete__lattice__class_Olfp(c_Complete__Lattice_OInf__class_OInf(tc_bool),u)),c_SetInterval_Oord__class_OatLeastAtMost(v,v,tc_bool)))*.
% 300.12/300.65 35664[0:Res:8.1,51.1] class_Ring__and__Field_Oordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),w))* equal(w,x) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))*.
% 300.12/300.65 35663[0:Res:4.1,51.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_lessequals(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),w))* equal(x,w) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))*.
% 300.12/300.65 36127[0:Res:8.1,148.1] class_Ring__and__Field_Oordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),w))* -> hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),x),w))* equal(w,x) hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(u),v),x))*.
% 300.12/300.65 36583[0:Rew:276.1,36582.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),hAPP(c_Set_Oinsert(w,u),x))),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(w,u),hAPP(c_Set_Oinsert(v,u),x))))*.
% 300.12/300.65 36605[0:SSi:36392.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x),v)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),x),y)),u))*.
% 300.12/300.65 36958[0:Rew:125.1,36957.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olower__semilattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),hAPP(c_Set_Oinsert(w,u),x))),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(w,u),hAPP(c_Set_Oinsert(v,u),x))))*.
% 300.12/300.65 36968[0:SSi:36890.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),x),y)),v))* -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),x),u)).
% 300.12/300.65 37048[0:SpL:20230.0,352.0] || hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),u)) hBOOL(c_in(hAPP(c_Set_Oinsert(v,w),hAPP(c_fequal(w),c_Orderings_Otop__class_Otop(tc_bool))),x,y))* -> hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_Complete__Lattice_OSup__class_OSup(tc_bool),y,tc_fun(z,tc_bool)),u))*.
% 300.12/300.65 37025[0:SpR:20230.0,265.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool))),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Orderings_Otop__class_Otop(tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool))))*.
% 300.12/300.65 37024[0:SpR:20230.0,435.1] || hBOOL(c_in(hAPP(c_Set_Oinsert(u,v),hAPP(c_fequal(v),c_Orderings_Otop__class_Otop(tc_bool))),w,x))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(y,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(w,c_Complete__Lattice_OSup__class_OSup(tc_bool),x,tc_fun(y,tc_bool))),c_Orderings_Otop__class_Otop(tc_bool)))*.
% 300.12/300.65 37291[0:Rew:276.1,37290.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(v,u),hAPP(c_Set_Oinsert(w,u),x))),hAPP(c_Complete__Lattice_OSup__class_OSup(u),hAPP(c_Set_Oinsert(w,u),hAPP(c_Set_Oinsert(v,u),x))))*.
% 300.12/300.65 37296[0:Obv:37141.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),x))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))**.
% 300.12/300.65 37297[0:Obv:37137.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))**.
% 300.12/300.65 37298[0:Obv:37108.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))**.
% 300.12/300.65 37427[0:SpR:46.0,26165.1] || hBOOL(c_in(v_x,c_Set_Oimage(c_COMBB(u,v,w,x,y),y,x),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),z),hAPP(c_Set_Oimage(u,w,x),hAPP(c_Set_Oimage(v,y,w),v_x))))*.
% 300.12/300.65 37354[0:SpR:94.1,26165.1] || hBOOL(c_in(v_x,c_Set_Oimage(c_Fun_Ofun__upd(u,v,w,x,y),x,y),t_a))* -> hBOOL(c_in(v,v_x,x)) hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),z),hAPP(c_Set_Oimage(u,x,y),v_x)))*.
% 300.12/300.65 37667[0:Rew:125.1,37666.2] class_Complete__Lattice_Ocomplete__lattice(u) class_Lattices_Olattice(u) || -> equal(hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(v,u),hAPP(c_Set_Oinsert(w,u),x))),hAPP(c_Complete__Lattice_OInf__class_OInf(u),hAPP(c_Set_Oinsert(w,u),hAPP(c_Set_Oinsert(v,u),x))))*.
% 300.12/300.65 37672[0:Obv:37554.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),x))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))**.
% 300.12/300.65 37673[0:Obv:37552.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))**.
% 300.12/300.65 37674[0:Obv:37520.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))**.
% 300.12/300.65 38060[0:SpL:241.1,4686.0] class_Lattices_Oupper__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),y,z),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w)),c_False))*.
% 300.12/300.65 38228[0:Obv:38022.0] class_Lattices_Oupper__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x)))**.
% 300.12/300.65 38256[0:SSi:37892.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),x),v)) -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(v,tc_bool)),y),x)),u))*.
% 300.12/300.65 38597[0:SpL:126.1,4686.0] class_Lattices_Olower__semilattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),y,z),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w)),c_False))*.
% 300.12/300.65 38749[0:Obv:38570.0] class_Lattices_Olower__semilattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)))**.
% 300.12/300.65 38762[0:SSi:38609.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(c_in(u,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),x),y)),v))* -> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(v,tc_bool)),w),y),u)).
% 300.12/300.65 39224[0:SpL:240.1,4686.0] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),x)))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),y,z),hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w)),c_False))*.
% 300.12/300.65 39359[0:Obv:39183.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),w),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),x)))**.
% 300.12/300.65 39363[0:Obv:39044.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),x),w))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),v),w))**.
% 300.12/300.65 39769[0:SpL:127.1,4686.0] class_Lattices_Olattice(u) || hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),x)))* -> hBOOL(hAPP(hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),y,z),hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w)),c_False))*.
% 300.12/300.65 39889[0:Obv:39739.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),w),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),x)))**.
% 300.12/300.65 39893[0:Obv:39641.0] class_Lattices_Olattice(u) || -> equal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(u),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),x),w))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(u),v),w))**.
% 300.12/300.65 41078[0:SpR:13625.0,131.1] || -> equal(u,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool))) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v,w,x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),c_False,w,x),c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v,w,x))**.
% 300.12/300.65 41051[0:SpR:12711.0,131.1] || -> equal(u,hAPP(c_Set_Oinsert(c_False,tc_bool),v)) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,w,x,y),hAPP(c_Set_Oinsert(c_False,tc_bool),v),c_False,x,y),c_Fun_Ofun__upd(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,w,x,y))**.
% 300.12/300.65 41042[0:SpR:928.1,131.1] class_Orderings_Obot(u) || -> equal(v,v_x) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),v,w,x,y),v_x,c_Orderings_Obot__class_Obot(u),x,y),c_Fun_Ofun__upd(c_Orderings_Obot__class_Obot(tc_fun(t_a,u)),v,w,x,y))**.
% 300.12/300.65 41041[0:SpR:925.1,131.1] class_Orderings_Otop(u) || -> equal(v,v_x) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v,w,x,y),v_x,c_Orderings_Otop__class_Otop(u),x,y),c_Fun_Ofun__upd(c_Orderings_Otop__class_Otop(tc_fun(t_a,u)),v,w,x,y))**.
% 300.12/300.65 41030[0:SpR:20.0,131.1] || -> equal(u,v) equal(c_Fun_Ofun__upd(c_Fun_Ofun__upd(c_Fun_Ofun__upd(w,v,x,y,z),u,x1,y,z),v,x2,y,z),c_Fun_Ofun__upd(c_Fun_Ofun__upd(w,v,x2,y,z),u,x1,y,z))**.
% 300.12/300.65 41148[0:SpR:611.0,402.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),hAPP(c_Set_Oinsert(w,u),x))) -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(w,u),v)),hAPP(c_Set_Oinsert(w,u),x)))*.
% 300.12/300.65 41226[0:SSi:41213.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> equal(c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Set_Oinsert(x,u),w),hAPP(c_Set_Oinsert(x,u),v),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 300.12/300.65 41227[0:SSi:41212.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),v),w)) -> equal(c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(c_Set_Oinsert(x,u),w),hAPP(c_Set_Oinsert(x,u),v),tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(u,tc_bool)))**.
% 300.12/300.65 41932[0:SpL:13619.0,204.0] || hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),w),v))* c_Fun_Oinj__on(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,v)* -> hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),w,u)).
% 300.12/300.65 41920[0:SpL:12544.0,204.0] || hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),w),v))* c_Fun_Oinj__on(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,v)* -> hBOOL(c_in(hAPP(c_Set_Oinsert(c_False,tc_bool),x),w,u))*.
% 300.12/300.65 41918[0:SpL:9924.0,204.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),w),v))* c_Fun_Oinj__on(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,v)* -> hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(x,x,tc_bool),w,u))*.
% 300.12/300.65 41917[0:SpL:9032.0,204.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),w),v))* c_Fun_Oinj__on(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,v)* -> hBOOL(c_in(c_SetInterval_Oord__class_OgreaterThanAtMost(x,c_False,tc_bool),w,u))*.
% 300.12/300.65 41913[0:SpL:9690.0,204.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),w),v))* c_Fun_Oinj__on(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,v)* -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(x,x,tc_bool),w,u))*.
% 300.12/300.65 41912[0:SpL:8858.0,204.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OInf__class_OInf(tc_bool),u,v),w),v))* c_Fun_Oinj__on(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,v)* -> hBOOL(c_in(c_SetInterval_Oord__class_OatLeastLessThan(x,c_False,tc_bool),w,u))*.
% 300.12/300.65 41893[0:SpL:20154.0,204.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),w),v))* c_Fun_Oinj__on(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,v)* -> hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),w,u))*.
% 300.12/300.65 41858[0:SpL:20242.0,204.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),w),v))* c_Fun_Oinj__on(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,v)* -> hBOOL(c_in(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),x),w,u))*.
% 300.12/300.65 41857[0:SpL:20206.0,204.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),w),v))* c_Fun_Oinj__on(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,v)* -> hBOOL(c_in(hAPP(c_lessequals(tc_bool),x),w,u))*.
% 300.15/300.65 41856[0:SpL:20243.0,204.0] || hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_bool),hAPP(c_Set_Oimage(c_Complete__Lattice_OSup__class_OSup(tc_bool),u,v),w),v))* c_Fun_Oinj__on(c_Complete__Lattice_OSup__class_OSup(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,v)* -> hBOOL(c_in(hAPP(c_HOL_Oord__class_Oless(tc_bool),c_False),w,u)).
% 300.15/300.65 41771[0:SpL:1916.0,204.0] || hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),x),w))* c_Fun_Oinj__on(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),v,w)* -> hBOOL(c_in(u,x,v)).
% 300.15/300.65 41770[0:SpL:1118.0,204.0] || hBOOL(c_in(c_False,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),v,w),x),w))* c_Fun_Oinj__on(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),u),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),v,w)* -> hBOOL(c_in(c_False,x,v)).
% 300.15/300.65 41768[0:SpL:1088.0,204.0] || hBOOL(c_in(c_False,hAPP(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),u,v),w),v))* c_Fun_Oinj__on(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_False),c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),u,v)* -> hBOOL(c_in(x,w,u))*.
% 300.15/300.65 41739[0:SpL:988.0,204.0] || hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),v,w),x),w))* c_Fun_Oinj__on(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),u),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),v,w)* -> hBOOL(c_in(c_False,x,v)).
% 300.15/300.65 41711[0:SpL:657.0,204.0] || hBOOL(c_in(u,hAPP(c_Set_Oimage(c_COMBK(u,v,w),x,y),z),y))* c_Fun_Oinj__on(c_COMBK(u,v,w),c_Orderings_Otop__class_Otop(tc_fun(x,tc_bool)),x,y)* -> hBOOL(c_in(x1,z,x))*.
% 300.15/300.65 41704[0:SpL:956.0,204.0] || hBOOL(c_in(u,hAPP(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),v,w),x),w))* c_Fun_Oinj__on(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_False),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),v,w)* -> hBOOL(c_in(u,x,v)).
% 300.15/300.65 41692[0:SpL:9728.0,204.0] || hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),v,w),x),w))* c_Fun_Oinj__on(c_SetInterval_Oord__class_OgreaterThanAtMost(u,u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),v,w)* -> hBOOL(c_in(y,x,v))*.
% 300.15/300.65 41691[0:SpL:9002.0,204.0] || hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),v,w),x),w))* c_Fun_Oinj__on(c_SetInterval_Oord__class_OgreaterThanAtMost(u,c_False,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),v,w)* -> hBOOL(c_in(y,x,v))*.
% 300.15/300.65 41690[0:SpL:9428.0,204.0] || hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),v,w),x),w))* c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastLessThan(u,u,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),v,w)* -> hBOOL(c_in(y,x,v))*.
% 300.15/300.65 41689[0:SpL:8828.0,204.0] || hBOOL(c_in(c_False,hAPP(c_Set_Oimage(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),v,w),x),w))* c_Fun_Oinj__on(c_SetInterval_Oord__class_OatLeastLessThan(u,c_False,tc_bool),c_Orderings_Otop__class_Otop(tc_fun(v,tc_bool)),v,w)* -> hBOOL(c_in(y,x,v))*.
% 300.15/300.65 42635[0:SpR:46.0,26440.1] || hBOOL(c_in(v_x,c_Set_Oimage(c_COMBB(u,v,w,x,y),y,x),t_a))* -> hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_Set_Oimage(u,w,x),hAPP(c_Set_Oimage(v,y,w),v_x))),z))*.
% 300.15/300.65 42561[0:SpR:94.1,26440.1] || hBOOL(c_in(v_x,c_Set_Oimage(c_Fun_Ofun__upd(u,v,w,x,y),x,y),t_a))* -> hBOOL(c_in(v,v_x,x)) hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_Set_Oimage(u,x,y),v_x)),z))*.
% 300.15/300.65 42963[0:SpR:712.1,794.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(w,w,u)),tc_fun(u,tc_bool)),x),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(w,u),x)))**.
% 300.15/300.65 43115[0:SpR:712.1,795.0] class_Orderings_Oorder(u) || -> equal(hAPP(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),w),tc_fun(u,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(x,x,u)),hAPP(c_HOL_Ominus__class_Ominus(v,tc_fun(u,tc_bool)),hAPP(c_Set_Oinsert(x,u),w)))**.
% 300.15/300.65 43167[0:Rew:794.0,43163.0] || -> equal(hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(w,v),hAPP(c_Set_Oinsert(x,v),y))),hAPP(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool)),hAPP(c_Set_Oinsert(x,v),hAPP(c_Set_Oinsert(w,v),y))))*.
% 300.15/300.65 43533[0:SSi:43521.0,631.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,629.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,630.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,632.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,623.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,626.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,624.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,621.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,620.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,622.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,627.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1,628.0,655.0,653.0,654.0,656.0,649.0,647.0,650.0,648.0,645.0,646.0,644.0,651.0,652.1] || -> equal(c_SetInterval_Oord__class_OatLeastAtMost(u,hAPP(c_Set_Oinsert(v,w),x),tc_fun(w,tc_bool)),c_COMBK(c_False,tc_bool,tc_fun(w,tc_bool)))** hBOOL(hAPP(hAPP(c_lessequals(tc_fun(w,tc_bool)),u),x)) hBOOL(c_in(v,u,w)).
% 300.15/300.65 43810[0:SpL:13719.1,352.0] || hBOOL(hAPP(u,v)) hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(w,c_False,tc_bool),x,y))* -> equal(w,c_False) hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(x,c_HOL_Ominus__class_Ominus(u,tc_fun(tc_bool,tc_bool)),y,tc_fun(z,tc_bool)),v))*.
% 300.15/300.65 43773[0:SpR:13719.1,265.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> equal(u,c_False) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),y),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool))))*.
% 300.15/300.65 43772[0:SpR:13719.1,435.1] || hBOOL(c_in(c_SetInterval_Oord__class_OatLeastAtMost(u,c_False,tc_bool),v,w))* -> equal(u,c_False) hBOOL(hAPP(hAPP(c_lessequals(tc_fun(x,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(v,c_HOL_Ominus__class_Ominus(y,tc_fun(tc_bool,tc_bool)),w,tc_fun(x,tc_bool))),y))*.
% 300.15/300.65 44562[0:SpL:456.0,482.0] || hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(v,w),x),y,w,tc_fun(u,tc_bool))),z))* -> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(u,tc_bool)),hAPP(y,v)),z)).
% 300.15/300.65 44561[0:SpL:456.0,427.0] || hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(u,v),w),x,v,tc_fun(y,tc_bool)),z))* -> hBOOL(hAPP(hAPP(x,u),z)) hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,x,v,tc_fun(y,tc_bool)),z)).
% 300.15/300.65 44532[0:SpR:13517.0,456.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(u,tc_bool)),v),w),c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(x,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(x,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(w,c_Complete__Lattice_OInf__class_OInf(tc_bool),v,tc_fun(x,tc_bool))))*.
% 300.15/300.65 44527[0:SpR:12731.0,456.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(c_SetInterval_Oord__class_OatLeastAtMost(c_False,c_False,tc_bool),u),v),c_Complete__Lattice_OInf__class_OInf(tc_bool),u,tc_fun(w,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(w,tc_bool)),c_False),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(v,c_Complete__Lattice_OInf__class_OInf(tc_bool),u,tc_fun(w,tc_bool))))*.
% 300.15/300.65 44513[0:SpR:13510.0,456.0] || -> equal(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(hAPP(Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------