(VAR A A0 B B0 C C0 M N P P0 Q101004 Q101038 Q101568 Q103364 Q103417 Q104048 Q105463 Q105468 Q105737 Q107633 Q108445 Q108456 Q108508 Q108918 Q113383 Q113384 Q113401 Q113402 Q114392 Q114393 Q114409 Q114410 Q114605 Q114606 Q114795 Q115203 Q115204 Q115205 Q115515 Q115516 Q1176884 Q118475 Q118481 Q118732 Q118738 Q118949 Q118951 Q119049 Q119050 Q119535 Q119536 Q119675 Q119678 Q119694 Q119696 Q119739 Q119740 Q119776 Q119777 Q119862 Q120445 Q120625 Q122083 Q129843 Q129858 Q131252 Q131253 Q137218 Q137237 Q137335 Q140340 Q144853 Q144875 Q144892 Q144946 Q144970 Q147956 Q151908 Q152407 Q153473 Q169211 Q169223 Q169284 Q169371 Q169832 Q169849 Q170010 Q170050 Q173336 Q173369 Q173889 Q173931 Q174142 Q174640 Q174652 Q174786 Q174843 Q180474 Q18337 Q18358 Q18436 Q18437 Q18584 Q18587 Q18594 Q18628 Q18629 Q18635 Q18655 Q18680 Q18703 Q18709 Q18731 Q18733 Q18741 Q18773 Q18774 Q18775 Q18805 Q18813 Q18824 Q18825 Q18849 Q18850 Q19686 Q19873 Q199949 Q20493 Q20545 Q20594 Q20651 Q208555 Q211301 Q211366 Q211629 Q215346 Q215710 Q215712 Q216100 Q238862 Q238878 Q239348 Q252301 Q253923 Q256509 Q262328 Q262361 Q268391 Q286180 Q292360 Q292394 Q293255 Q294416 Q303058 Q303068 Q303087 Q303106 Q307259 Q307310 Q307328 Q310257 Q310277 Q310427 Q310450 Q310687 Q310709 Q311520 Q336363 Q336377 Q336393 Q337838 Q412528 Q412529 Q440967 Q440968 Q445490 Q445492 Q451420 Q47654 Q47720 Q48127 Q48133 Q48153 Q48425 Q48449 Q48463 Q48483 Q48523 Q48527 Q48588 Q49170 Q49179 Q531086 Q531099 Q560236 Q560259 Q560271 Q560339 Q560357 Q560401 Q569520 Q57967 Q619883 Q619900 Q619917 Q64073 Q64084 Q64185 Q64233 Q64304 Q64342 Q64380 Q64418 Q64518 Q64530 Q64549 Q64555 Q664027 Q665071 Q665072 Q665141 Q665142 Q67327 Q67365 Q67574 Q68242 Q690093 Q690460 Q692429 Q692451 Q692608 Q693631 Q693719 Q693810 Q702479 Q702485 Q702491 Q702497 Q702749 Q702770 Q705062 Q707409 Q708278 Q709357 Q709495 Q71470 Q715898 Q715941 Q71708 Q721458 Q721465 Q721472 Q721567 Q721595 Q722637 Q722849 Q722870 Q72912 Q732721 Q733856 Q733860 Q733976 Q78341 Q78351 Q78971 Q78973 Q78976 Q95870 Q96102 Q98454 Q98469 Q98624 Q98638 Q98655 Q98704 Q98727 Q98749 Q98770 Q98829 Q98841 Q98855 Q98893 Q98922 Q98952 Q99255 Q99283 Q99312 Q99336 Q99350 Q99365 Q99486 Q99591 R S X Y a b c d e f g g1 g2 h h1 h2 i0 j k l l1 l2 lab m n net0 op p q r s0 sgn t t1 t2 top u u_ v v0 v1 v2 v3 w w0 w1 w2 w3 x x1 x2 x3 x4 x5 x6 xi_ y y1 y2 y3 yi_ z z1 z2 )
(RULES 
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        s(real,i(s(fun(cart(real,n2),real),Re),s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),catn),s(cart(real,n2),i(s(fun(real,cart(real,n2)),Cx),s(real,x))))))) -> s(real,i(s(fun(real,real),atn),s(real,x)))
        s(real,i(s(fun(cart(real,n2),real),Re),s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),ccos),s(cart(real,n2),i(s(fun(real,cart(real,n2)),Cx),s(real,x))))))) -> s(real,i(s(fun(real,real),cos),s(real,x)))
        s(int,i(s(fun(real,int),intu_ofu_real),s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(int,real),realu_ofu_int),s(int,i0))))))) -> s(int,i(s(fun(int,int),intu_neg),s(int,i0)))
        s(real,i(s(fun(cart(real,n2),real),Re),s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),cexp),s(cart(real,n2),i(s(fun(real,cart(real,n2)),Cx),s(real,x))))))) -> s(real,i(s(fun(real,real),exp),s(real,x)))
        s(num,i(s(fun(ind0,num),mku_num),s(ind0,i(s(fun(ind0,ind0),INDu_SUC),s(ind0,i(s(fun(num,ind0),destu_num),s(num,n))))))) -> s(num,i(s(fun(num,num),SUC),s(num,n)))
        s(real,i(s(fun(real,real),sin),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,x))),s(real,pi))))) -> s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(real,real),sin),s(real,x)))))
        s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,x))),s(real,i(s(fun(real,real),realu_abs),s(real,x))))) -> s(real,i(s(fun(real,real),realu_sgn),s(real,x)))
        s(real,i(s(fun(real,real),cos),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,x))),s(real,pi))))) -> s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(real,real),cos),s(real,x)))))
        s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,x))),s(real,i(s(fun(real,real),floor),s(real,x))))) -> s(real,i(s(fun(real,real),frac),s(real,x)))
        s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),i(s(fun(cart(real,n2),fun(cart(real,n2),cart(real,n2))),vectoru_add),s(cart(real,n2),w))),s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),vectoru_neg),s(cart(real,n2),z))))) -> s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),i(s(fun(cart(real,n2),fun(cart(real,n2),cart(real,n2))),vectoru_sub),s(cart(real,n2),w))),s(cart(real,n2),z)))
        s(num,i(s(fun(num,num),SUC),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,n))),s(num,n))))) -> s(num,i(s(fun(num,num),BIT1),s(num,n)))
        s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,x))),s(real,i(s(fun(real,real),realu_neg),s(real,y))))) -> s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,x))),s(real,y)))
        s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),i(s(fun(cart(real,n2),fun(cart(real,n2),cart(real,n2))),complexu_mul),s(cart(real,n2),w))),s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),complexu_inv),s(cart(real,n2),z))))) -> s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),i(s(fun(cart(real,n2),fun(cart(real,n2),cart(real,n2))),complexu_div),s(cart(real,n2),w))),s(cart(real,n2),z)))
        s(fun(cart(real,n3),bool),i(s(fun(prod(cart(real,n3),cart(real,n3)),fun(cart(real,n3),bool)),openu_interval),s(prod(cart(real,n3),cart(real,n3)),i(s(fun(cart(real,n3),prod(cart(real,n3),cart(real,n3))),i(s(fun(cart(real,n3),fun(cart(real,n3),prod(cart(real,n3),cart(real,n3)))),c_),s(cart(real,n3),a))),s(cart(real,n3),b))))) -> s(fun(cart(real,n3),bool),i(s(fun(cart(real,n3),fun(cart(real,n3),bool)),i(s(fun(cart(real,n3),fun(cart(real,n3),fun(cart(real,n3),bool))),rect),s(cart(real,n3),a))),s(cart(real,n3),b)))
        s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,x))),s(real,i(s(fun(real,real),realu_inv),s(real,y))))) -> s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,x))),s(real,y)))
        s(int,i(s(fun(int,int),i(s(fun(int,fun(int,int)),intu_add),s(int,x))),s(int,i(s(fun(int,int),intu_neg),s(int,y))))) -> s(int,i(s(fun(int,int),i(s(fun(int,fun(int,int)),intu_sub),s(int,x))),s(int,y)))
        s(cart(real,n3),i(s(fun(cart(real,n3),cart(real,n3)),vectoru_neg),s(cart(real,n3),i(s(fun(cart(real,n3),cart(real,n3)),i(s(fun(cart(real,n3),fun(cart(real,n3),cart(real,n3))),cross),s(cart(real,n3),y))),s(cart(real,n3),x))))) -> s(cart(real,n3),i(s(fun(cart(real,n3),cart(real,n3)),i(s(fun(cart(real,n3),fun(cart(real,n3),cart(real,n3))),cross),s(cart(real,n3),x))),s(cart(real,n3),y)))
        s(int,i(s(fun(int,int),i(s(fun(int,fun(int,int)),intu_sub),s(int,x))),s(int,i(s(fun(int,int),intu_neg),s(int,y))))) -> s(int,i(s(fun(int,int),i(s(fun(int,fun(int,int)),intu_add),s(int,x))),s(int,y)))
        s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,x))),s(real,y))))) -> s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_div),s(real,y))),s(real,x)))
        s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,x))),s(real,i(s(fun(real,real),realu_neg),s(real,y))))) -> s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,x))),s(real,y)))
        s(int,i(s(fun(int,int),intu_neg),s(int,i(s(fun(int,int),i(s(fun(int,fun(int,int)),intu_sub),s(int,x))),s(int,y))))) -> s(int,i(s(fun(int,int),i(s(fun(int,fun(int,int)),intu_sub),s(int,y))),s(int,x)))
        s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),rpow),s(real,x))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,n))))) -> s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,x))),s(num,n)))
        s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,x))),s(real,y))))) -> s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,y))),s(real,x)))
        s(prod(hreal,hreal),i(s(fun(prod(hreal,hreal),prod(hreal,hreal)),trealu_neg),s(prod(hreal,hreal),i(s(fun(hreal,prod(hreal,hreal)),i(s(fun(hreal,fun(hreal,prod(hreal,hreal))),c_),s(hreal,x))),s(hreal,y))))) -> s(prod(hreal,hreal),i(s(fun(hreal,prod(hreal,hreal)),i(s(fun(hreal,fun(hreal,prod(hreal,hreal))),c_),s(hreal,y))),s(hreal,x)))
        s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,i(s(fun(num,num),BIT1),s(num,u_0))))))) -> s(real,i(s(fun(fun(real,fun(real,real)),real),neutral),s(fun(real,fun(real,real)),realu_mul)))
        s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,i(s(fun(num,num),BIT1),s(num,u_0))))))) -> s(real,i(s(fun(cart(real,n2),real),vectoru_norm),s(cart(real,n2),ii)))
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        s(num,i(s(fun(num,num),NUMERAL),s(num,i(s(fun(num,num),BIT1),s(num,i(s(fun(num,num),BIT1),s(num,u_0))))))) -> s(num,i(s(fun(fun(n3,bool),num),dimindex),s(fun(n3,bool),UNIV)))
        s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,i(s(fun(num,num),BIT1),s(num,u_0))))))) -> s(real,i(s(fun(cart(real,n2),real),Im),s(cart(real,n2),ii)))
        s(cart(real,n2),i(s(fun(real,cart(real,n2)),Cx),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))))) -> s(cart(real,n2),i(s(fun(num,cart(real,n2)),vec),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0)))))
        s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),vectoru_neg),s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),i(s(fun(cart(real,n2),fun(cart(real,n2),cart(real,n2))),vectoru_sub),s(cart(real,n2),x))),s(cart(real,n2),y))))) -> s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),i(s(fun(cart(real,n2),fun(cart(real,n2),cart(real,n2))),vectoru_sub),s(cart(real,n2),y))),s(cart(real,n2),x)))
        s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),i(s(fun(cart(real,n2),fun(cart(real,n2),cart(real,n2))),vectoru_sub),s(cart(real,n2),x))),s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),vectoru_neg),s(cart(real,n2),y))))) -> s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),i(s(fun(cart(real,n2),fun(cart(real,n2),cart(real,n2))),vectoru_add),s(cart(real,n2),x))),s(cart(real,n2),y)))
        s(real,i(s(fun(cart(real,n2),real),vectoru_norm),s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),i(s(fun(real,fun(cart(real,n2),cart(real,n2))),rotate2d),s(real,t))),s(cart(real,n2),z))))) -> s(real,i(s(fun(cart(real,n2),real),vectoru_norm),s(cart(real,n2),z)))
        s(real,i(s(fun(fun(cart(real,n3),bool),real),measure),s(fun(cart(real,n3),bool),i(s(fun(cart(real,n3),fun(cart(real,n3),bool)),i(s(fun(cart(real,n3),fun(cart(real,n3),fun(cart(real,n3),bool))),rect),s(cart(real,n3),a))),s(cart(real,n3),b))))) -> s(real,i(s(fun(cart(real,n3),real),i(s(fun(cart(real,n3),fun(cart(real,n3),real)),volu_rect),s(cart(real,n3),a))),s(cart(real,n3),b)))
        s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),complexu_inv),s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),i(s(fun(cart(real,n2),fun(cart(real,n2),cart(real,n2))),complexu_div),s(cart(real,n2),w))),s(cart(real,n2),z))))) -> s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),i(s(fun(cart(real,n2),fun(cart(real,n2),cart(real,n2))),complexu_div),s(cart(real,n2),z))),s(cart(real,n2),w)))
        s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),i(s(fun(cart(real,n2),fun(cart(real,n2),cart(real,n2))),complexu_mul),s(cart(real,n2),i(s(fun(real,cart(real,n2)),Cx),s(real,c))))),s(cart(real,n2),x))) -> s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),i(s(fun(real,fun(cart(real,n2),cart(real,n2))),r_),s(real,c))),s(cart(real,n2),x)))
        s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,m))),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))) -> s(num,i(s(fun(num,num),NUMERAL),s(num,u_0)))
        s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))),s(num,n))) -> s(num,i(s(fun(num,num),NUMERAL),s(num,u_0)))
        s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),EXP),s(num,i(s(fun(num,num),BIT1),s(num,m))))),s(num,u_0))) -> s(num,i(s(fun(num,num),BIT1),s(num,u_0)))
        s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),EXP),s(num,i(s(fun(num,num),BIT0),s(num,m))))),s(num,u_0))) -> s(num,i(s(fun(num,num),BIT1),s(num,u_0)))
        s(real,i(s(fun(cart(real,n2),real),Arg),s(cart(real,n2),i(s(fun(real,cart(real,n2)),Cx),s(real,i(s(fun(num,real),realu_ofu_num),s(num,n))))))) -> s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0)))))
        s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),EXP),s(num,m))),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))) -> s(num,i(s(fun(num,num),NUMERAL),s(num,i(s(fun(num,num),BIT1),s(num,u_0)))))
        s(fun(real,bool),i(s(fun(topology(real),fun(real,bool)),topspace),s(topology(real),i(s(fun(fun(real,bool),topology(real)),i(s(fun(topology(real),fun(fun(real,bool),topology(real))),subtopology),s(topology(real),euclideanreal))),s(fun(real,bool),s0))))) -> s(fun(real,bool),s0)
        s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))),s(num,n))) -> s(num,n)
        s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),m_),s(num,m))),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))) -> s(num,m)
        s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,m))),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))) -> s(num,m)
        s(int,i(s(fun(int,int),intu_sgn),s(int,i(s(fun(num,int),intu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))))) -> s(int,i(s(fun(num,int),intu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0)))))
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        s(real,i(s(fun(real,real),tan),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))))) -> s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0)))))
        s(int,i(s(fun(int,int),intu_abs),s(int,i(s(fun(num,int),intu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))))) -> s(int,i(s(fun(num,int),intu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0)))))
        s(int,i(s(fun(int,int),intu_neg),s(int,i(s(fun(num,int),intu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))))) -> s(int,i(s(fun(num,int),intu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0)))))
        s(real,i(s(fun(real,real),realu_sgn),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))))) -> s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0)))))
        s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))))) -> s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0)))))
        s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))))) -> s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0)))))
        s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))))) -> s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0)))))
        s(real,i(s(fun(real,real),atn),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))))) -> s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0)))))
        s(real,i(s(fun(real,real),sin),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))))) -> s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0)))))
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        s(real,i(s(fun(real,real),asn),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))))) -> s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0)))))
        s(num,i(s(fun(fun(A,bool),num),CARD),s(fun(A,bool),EMPTY))) -> s(num,i(s(fun(num,num),NUMERAL),s(num,u_0)))
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        s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),m_),s(num,u_0))),s(num,i(s(fun(num,num),BIT1),s(num,n))))) -> s(num,u_0)
        s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),m_),s(num,u_0))),s(num,i(s(fun(num,num),BIT0),s(num,n))))) -> s(num,u_0)
        s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),EXP),s(num,u_0))),s(num,i(s(fun(num,num),BIT1),s(num,n))))) -> s(num,u_0)
        s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,i(s(fun(num,num),BIT1),s(num,n))))),s(num,u_0))) -> s(num,u_0)
        s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,i(s(fun(num,num),BIT0),s(num,n))))),s(num,u_0))) -> s(num,u_0)
        s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,u_0))),s(num,i(s(fun(num,num),BIT1),s(num,n))))) -> s(num,u_0)
        s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,u_0))),s(num,i(s(fun(num,num),BIT0),s(num,n))))) -> s(num,u_0)
        s(net(real),i(s(fun(fun(real,bool),net(real)),i(s(fun(net(real),fun(fun(real,bool),net(real))),within),s(net(real),i(s(fun(real,net(real)),atreal),s(real,x))))),s(fun(real,bool),UNIV))) -> s(net(real),i(s(fun(real,net(real)),atreal),s(real,x)))
        s(real,i(s(fun(real,real),tan),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,x))),s(real,pi))))) -> s(real,i(s(fun(real,real),tan),s(real,x)))
        s(fun(real,real),i(s(fun(fun(real,real),fun(real,real)),i(s(fun(num,fun(fun(real,real),fun(real,real))),higheru_realu_derivative),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))),s(fun(real,real),f))) -> s(fun(real,real),f)
        s(real,i(s(fun(fun(prod(hreal,hreal),bool),real),mku_real),s(fun(prod(hreal,hreal),bool),i(s(fun(prod(hreal,hreal),fun(prod(hreal,hreal),bool)),trealu_eq),s(prod(hreal,hreal),i(s(fun(num,prod(hreal,hreal)),trealu_ofu_num),s(num,m))))))) -> s(real,i(s(fun(num,real),realu_ofu_num),s(num,m)))
        s(hreal,i(s(fun(fun(nadd,bool),hreal),mku_hreal),s(fun(nadd,bool),i(s(fun(nadd,fun(nadd,bool)),naddu_eq),s(nadd,i(s(fun(num,nadd),naddu_ofu_num),s(num,m))))))) -> s(hreal,i(s(fun(num,hreal),hrealu_ofu_num),s(num,m)))
        s(real,i(s(fun(net(real),real),netlimit),s(net(real),i(s(fun(real,net(real)),atreal),s(real,a))))) -> s(real,a)
        s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_min),s(real,x))),s(real,x))) -> s(real,x)
        s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_max),s(real,x))),s(real,x))) -> s(real,x)
        s(real,i(s(fun(cart(real,n1),real),drop),s(cart(real,n1),i(s(fun(num,cart(real,n1)),vec),s(num,n))))) -> s(real,i(s(fun(num,real),realu_ofu_num),s(num,n)))
        s(num,i(s(fun(num,num),PRE),s(num,i(s(fun(num,num),BIT1),s(num,n))))) -> s(num,i(s(fun(num,num),BIT0),s(num,n)))
        s(num,i(s(fun(num,num),SUC),s(num,i(s(fun(num,num),BIT0),s(num,n))))) -> s(num,i(s(fun(num,num),BIT1),s(num,n)))
        s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,n))),s(num,n))) -> s(num,i(s(fun(num,num),BIT0),s(num,n)))
        s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(num,real),realu_ofu_num),s(num,n))))) -> s(real,i(s(fun(num,real),realu_ofu_num),s(num,n)))
        s(real,i(s(fun(real,real),floor),s(real,i(s(fun(num,real),realu_ofu_num),s(num,n))))) -> s(real,i(s(fun(num,real),realu_ofu_num),s(num,n)))
        s(int,i(s(fun(int,int),intu_abs),s(int,i(s(fun(num,int),intu_ofu_num),s(num,n))))) -> s(int,i(s(fun(num,int),intu_ofu_num),s(num,n)))
        s(cart(real,n1),i(s(fun(real,cart(real,n1)),lift),s(real,i(s(fun(num,real),realu_ofu_num),s(num,n))))) -> s(cart(real,n1),i(s(fun(num,cart(real,n1)),vec),s(num,n)))
        s(real,i(s(fun(int,real),realu_ofu_int),s(int,i(s(fun(num,int),intu_ofu_num),s(num,n))))) -> s(real,i(s(fun(num,real),realu_ofu_num),s(num,n)))
        s(nadd,i(s(fun(fun(num,num),nadd),mku_nadd),s(fun(num,num),i(s(fun(nadd,fun(num,num)),destu_nadd),s(nadd,a))))) -> s(nadd,a)
        s(int,i(s(fun(int,int),intu_abs),s(int,i(s(fun(int,int),intu_abs),s(int,x))))) -> s(int,i(s(fun(int,int),intu_abs),s(int,x)))
        s(int,i(s(fun(int,int),intu_abs),s(int,i(s(fun(int,int),intu_neg),s(int,x))))) -> s(int,i(s(fun(int,int),intu_abs),s(int,x)))
        s(int,i(s(fun(int,int),i(s(fun(int,fun(int,int)),intu_max),s(int,x))),s(int,x))) -> s(int,x)
        s(int,i(s(fun(int,int),i(s(fun(int,fun(int,int)),intu_min),s(int,x))),s(int,x))) -> s(int,x)
        s(int,i(s(fun(real,int),intu_ofu_real),s(real,i(s(fun(num,real),realu_ofu_num),s(num,n))))) -> s(int,i(s(fun(num,int),intu_ofu_num),s(num,n)))
        s(real,i(s(fun(cart(real,n3),real),vectoru_norm),s(cart(real,n3),i(s(fun(cart(real,n2),cart(real,n3)),pad2d3d),s(cart(real,n2),x))))) -> s(real,i(s(fun(cart(real,n2),real),vectoru_norm),s(cart(real,n2),x)))
        s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),i(s(fun(real,fun(cart(real,n2),cart(real,n2))),rotate2d),s(real,pi))),s(cart(real,n2),z))) -> s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),vectoru_neg),s(cart(real,n2),z)))
        s(real,i(s(fun(cart(real,n2),real),vectoru_norm),s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),cnj),s(cart(real,n2),z))))) -> s(real,i(s(fun(cart(real,n2),real),vectoru_norm),s(cart(real,n2),z)))
        s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),ccos),s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),vectoru_neg),s(cart(real,n2),z))))) -> s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),ccos),s(cart(real,n2),z)))
        s(real,i(s(fun(cart(real,n2),real),Re),s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),cnj),s(cart(real,n2),z))))) -> s(real,i(s(fun(cart(real,n2),real),Re),s(cart(real,n2),z)))
        s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),m_),s(num,u_0))),s(num,u_0))) -> s(num,u_0)
        s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,u_0))),s(num,u_0))) -> s(num,u_0)
        s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),p_),s(num,u_0))),s(num,u_0))) -> s(num,u_0)
        s(n1,i(s(fun(bool,n1),oneu_ABS),s(bool,i(s(fun(n1,bool),oneu_REP),s(n1,a))))) -> s(n1,a)
        s(int,i(s(fun(real,int),intu_ofu_real),s(real,i(s(fun(int,real),realu_ofu_int),s(int,a))))) -> s(int,a)
        s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),cnj),s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),cnj),s(cart(real,n2),z))))) -> s(cart(real,n2),z)
        s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),ccos),s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),cacs),s(cart(real,n2),z))))) -> s(cart(real,n2),z)
        s(cart(real,n1),i(s(fun(real,cart(real,n1)),lift),s(real,i(s(fun(cart(real,n1),real),drop),s(cart(real,n1),x))))) -> s(cart(real,n1),x)
        s(int,i(s(fun(int,int),intu_neg),s(int,i(s(fun(int,int),intu_neg),s(int,x))))) -> s(int,x)
        s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),csin),s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),casn),s(cart(real,n2),z))))) -> s(cart(real,n2),z)
        s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),complexu_inv),s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),complexu_inv),s(cart(real,n2),x))))) -> s(cart(real,n2),x)
        s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),vectoru_neg),s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),vectoru_neg),s(cart(real,n2),x))))) -> s(cart(real,n2),x)
        s(num,i(s(fun(num,num),PRE),s(num,i(s(fun(num,num),SUC),s(num,n))))) -> s(num,n)
        s(num,i(s(fun(int,num),numu_ofu_int),s(int,i(s(fun(num,int),intu_ofu_num),s(num,n))))) -> s(num,n)
        s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))) -> s(real,i(s(fun(real,real),tan),s(real,pi)))
        s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))) -> s(real,i(s(fun(fun(real,bool),real),realu_measure),s(fun(real,bool),EMPTY)))
        s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))) -> s(real,i(s(fun(cart(real,n2),real),Re),s(cart(real,n2),ii)))
        s(num,i(s(fun(num,num),NUMERAL),s(num,i(s(fun(num,num),BIT1),s(num,u_0))))) -> s(num,i(s(fun(fun(n1,bool),num),dimindex),s(fun(n1,bool),UNIV)))
        s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))) -> s(real,i(s(fun(fun(real,fun(real,real)),real),neutral),s(fun(real,fun(real,real)),realu_add)))
        s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))) -> s(real,i(s(fun(real,real),sin),s(real,pi)))
        s(num,i(s(fun(num,num),NUMERAL),s(num,i(s(fun(num,num),BIT1),s(num,u_0))))) -> s(num,i(s(fun(fun(num,fun(num,num)),num),neutral),s(fun(num,fun(num,num)),t_)))
        s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),EXP),s(num,u_0))),s(num,u_0))) -> s(num,i(s(fun(num,num),BIT1),s(num,u_0)))
        s(num,i(s(fun(num,num),NUMERAL),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))) -> s(num,i(s(fun(num,num),NUMERAL),s(num,u_0)))
        s(num,i(s(fun(num,num),PRE),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))) -> s(num,i(s(fun(num,num),NUMERAL),s(num,u_0)))
        s(fun(cart(real,n1),bool),i(s(fun(fun(real,bool),fun(cart(real,n1),bool)),i(s(fun(fun(real,cart(real,n1)),fun(fun(real,bool),fun(cart(real,n1),bool))),IMAGE),s(fun(real,cart(real,n1)),lift))),s(fun(real,bool),UNIV))) -> s(fun(cart(real,n1),bool),UNIV)
        s(fun(real,bool),i(s(fun(fun(cart(real,n1),bool),fun(real,bool)),i(s(fun(fun(cart(real,n1),real),fun(fun(cart(real,n1),bool),fun(real,bool))),IMAGE),s(fun(cart(real,n1),real),drop))),s(fun(cart(real,n1),bool),UNIV))) -> s(fun(real,bool),UNIV)
        s(fun(num,bool),i(s(fun(num,fun(num,bool)),from),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))) -> s(fun(num,bool),UNIV)
        s(num,i(s(fun(num,num),BIT0),s(num,i(s(fun(num,num),NUMERAL),s(num,u_0))))) -> s(num,i(s(fun(num,num),NUMERAL),s(num,u_0)))
        s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),exp),s(real,x))))) -> s(real,i(s(fun(real,real),exp),s(real,x)))
        s(real,i(s(fun(real,real),realu_sgn),s(real,i(s(fun(real,real),realu_inv),s(real,x))))) -> s(real,i(s(fun(real,real),realu_sgn),s(real,x)))
        s(real,i(s(fun(cart(real,n2),real),vectoru_norm),s(cart(real,n2),i(s(fun(real,cart(real,n2)),Cx),s(real,x))))) -> s(real,i(s(fun(real,real),realu_abs),s(real,x)))
        s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),realu_neg),s(real,x))))) -> s(real,i(s(fun(real,real),realu_abs),s(real,x)))
        s(real,i(s(fun(real,real),cos),s(real,i(s(fun(real,real),realu_neg),s(real,x))))) -> s(real,i(s(fun(real,real),cos),s(real,x)))
        s(real,i(s(fun(cart(real,n1),real),vectoru_norm),s(cart(real,n1),i(s(fun(real,cart(real,n1)),lift),s(real,x))))) -> s(real,i(s(fun(real,real),realu_abs),s(real,x)))
        s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(real,real),realu_abs),s(real,x))))) -> s(real,i(s(fun(real,real),realu_abs),s(real,x)))
        s(cart(real,n2),i(s(fun(cart(real,n2),cart(real,n2)),cnj),s(cart(real,n2),i(s(fun(real,cart(real,n2)),Cx),s(real,x))))) -> s(cart(real,n2),i(s(fun(real,cart(real,n2)),Cx),s(real,x)))
        s(real,i(s(fun(real,real),cos),s(real,i(s(fun(real,real),realu_abs),s(real,x))))) -> s(real,i(s(fun(real,real),cos),s(real,x)))
        s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,n1),real),drop),s(cart(real,n1),x))))) -> s(real,i(s(fun(cart(real,n1),real),vectoru_norm),s(cart(real,n1),x)))
        s(real,i(s(fun(real,real),tan),s(real,i(s(fun(real,real),atn),s(real,y))))) -> s(real,y)
        s(real,i(s(fun(real,real),realu_inv),s(real,i(s(fun(real,real),realu_inv),s(real,x))))) -> s(real,x)
        s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(real,real),realu_neg),s(real,x))))) -> s(real,x)
        s(real,i(s(fun(cart(real,n2),real),Re),s(cart(real,n2),i(s(fun(real,cart(real,n2)),Cx),s(real,x))))) -> s(real,x)
        s(real,i(s(fun(cart(real,n1),real),drop),s(cart(real,n1),i(s(fun(real,cart(real,n1)),lift),s(real,x))))) -> s(real,x)
        s(real,i(s(fun(real,real),log),s(real,i(s(fun(real,real),exp),s(real,x))))) -> s(real,x)
        s(real,i(s(fun(real,real),realu_abs),s(real,pi))) -> s(real,pi)
        s(num,i(s(fun(num,num),PRE),s(num,u_0))) -> s(num,u_0)
        s(num,i(s(fun(num,num),BIT0),s(num,u_0))) -> s(num,u_0)
        s(num,i(s(fun(ind0,num),mku_num),s(ind0,INDu_0))) -> s(num,u_0)
        s(num,i(s(fun(num,num),NUMERAL),s(num,n))) -> s(num,n)
        s(fun(real,bool),i(s(fun(topology(real),fun(real,bool)),topspace),s(topology(real),euclideanreal))) -> s(fun(real,bool),UNIV)
        s(topology(real),i(s(fun(fun(fun(real,bool),bool),topology(real)),topology0),s(fun(fun(real,bool),bool),realu_open))) -> s(topology(real),euclideanreal)
        blabla -> blublu
        
)