Real theorem provers deserve real user-interfaces
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(68) »B? 5BxA52801¿? 5'+.3N0+x/'»Eo35214/ ½+_1!?B3Fo< +#FGFoB 52801-N? 14/52B C80BB? 1 +5'+_5 Eaxº6{801 C80BxEa_1rBx ? -<0B+F)E|? +x-052B¿+x5 Ea4+#FGFo<}14/ B/2[1!T <J5C801;}0/CB>14/!!-N?Y-N+#FGFH<<+7?Eo[}Fo1A[145280B0 ¥g? -NC8[+?,5_+Eo30752801v¸N/'? 51_Fo14[1435 Eo3º528017FGEa? 57Bx)}N143NEo30º? -<0 B+F|?-'² ½¦ 5{E|?Á}0/21_V14/'+Fo15CB¿+#>BxEa/ EoxEaº? 5C/'+x5214xEo1!?A+.3NxEo>1[B/21AV/2141!B 52B 52801-N? 14/!½¦ 3+}0/2Bx>14/A9Eo528FoBxEa4+#F)>+x/ Ea+ Fo1!? g¥ ? -NC8 +? ¡ 1_Fo5g<£ ?ÁB/: ¦ ?2+N 1_FGFo1 ² 5C8E|?Á}NB?2?Ec EGF Eo5 < Ea?Á1!?2? 1435 Ea+#F 52B[B0 5'+#Eo3 ?Eo[}Fo14/7B/+.3N[B/213N+x52-0/'+#F,}0/2BBx½?m¹ +?Á+ FoBxEa4+#F>+x/ Ea+ Fo1 ¿+#<Bz4_-0/ÁEo3 ? 14>14/_+#F ? -<0 B+#Fa?4 Eo5JEa?J-N?Y-N+#FGFH<4 14525214/5CBº+x525'+6º ? -<0 B+#Fa?7528N+x5J8N+#>1[+r28N+.3N_1[52BEo3N? 5'+x35 Ea+x521Eo5 1_B/21¿+x525_+j Eo30¿B528014/ ? -<0 B+#Fa?4 ¦5Ea?,1!+?Eo14/¨52BÁxEo>1? -NC8JV/2141!BA8014352801}0/CB>14/+#Eo35'+EH3N?+x31_~z}FGEaCEo5kR W!W X9W^4Q !#Tx528N+x5,/C14}0/21!? 1435'? 52801 _-0/2/21435 ? 5_+x521JBx)52801}0/CBBx2A6980143 B301}0/2Bx>Ea1!?7?Eo-Fo5'+.3014B-N?Fo< +5'+_5 Ea+x3Nº+}N+x528EH3»52801}0/CBBx BG0 ¼ 1!_5A528N+.5AFoB04+x521!?Á52801? -<0 B+#F¨52BA8EaC8 91JA+x35A528015'+_5 Ea52BP 1 +.}0}F Eo1!J698Ea?Á521!2803E -01 Ea?A-N?Y1! VB/A1_~N+x[}Fo1JEo3_'» & *)05C8N+x3<z ?{52B¿+[? }1!CEa+#F ?Y-<0 B+#F,}N+6 +x1J528N+x5A¿+EH35'+#Eo3N?A+ }0/2BB. BG ¼g1!_5! ¦ 3 +}0/2Bx>14/AA8014/C1528014/21ÀEa?A30B1_~z}FGEaCEo5}0/2BBx)BG0 ¼ 1!_5!N+#Fo5214/C3N+x5 Eo>1?YBxFo-05 EoB3N?7¿+#< ?Y5 EGF FN 1[1!?Eo301! ¡ B/1_~N+x[}Fo1Eo3 ¡ 1_FH5 <£ ?528014B/214 }0/2Bx>14/#¨5C801 ? 5_+x521Bx 52801}0/2BBxAEa?B3Fo< /214}0/C1!? 1435C1! <5C801[FGEa? 5[Bx /214¿+EH3Eo30º? -<0 B+#Fa?49@-057+?2? B0CEa+x521!r5CB[1!+C8 ? -<0 B+#F,Eo3º528Ea?{FGE|?Y57E|?Á52801J}N+x5C8º528N+x5{EH5Á;B-F|8N+#>1JEG)Eo5 914/21714E 1!01!EH3º?YB[1J}0/2BBx ? 5C/2-N_52-0/21)698Ea?Á}N+x528/214}0/21!? 1435'?952801J EH3Eo¿+F,Eo3B/C¿+x5 EoB3º_B3N_14/C3EH30 52801 }0/2BBx{?Y52/2-N_52-0/21528N+x5J -N? 5 N 1[+#Eo35'+EH301!»52Br8N+#>1 +x3+4_14}05'+ Fo1¿?Y-<0 B+#F? 1_Fo1!_5 EoB3[1!28N+.3E|?Yº ½¦ 3º+ ? 143N?Y15C8E|?{}N+x528E|?Á+?Y<N B.F Ea73N+x1 xEo>143r5CB +? -<0 B+F+x3N Eo5A/C14¿+#Eo3N?%-03N28N+x301!r+?%52801 }0/CBBx . -03VBxFa0?9Eo3ºB528014/ Eo/21!_5 EoB3N?4 J?A? BB3 +?991JA+x35Á52B¿_B352/2BxF,¿+.3-N+#FGFo<r52801 _B3N? 52/2-N_5YEHB3ºBx+[}0/CBBx2091J -N? 5A}0/2Bx>Ea152801-N? 14/ 9Eo528¿+7A+#<B. LN`WMPLb{}0/2BB. ?Y5214}N?4)698014/21A+x/217+x5Fo1!+? 5)5 9BJ{+#<0?,B.-03N14/'? 5_+x3NEo30Á8N+x5)52801A-N? 14/%¿+#< A+x35!J6980T1 ¸N/'? 57{+#<Ea?7}0-0/21_Fo<280/CB30BxFoBxEa4+#F;+x3NEa?7-N? -N+#FGFo< }0/21!? 14357Eo3[B014/23»EH35214/'+_5 Eo>1[? <z?Y5214¿?4. Á3NBxEo30 Ea?[?Eo[}Fo< -03N14/_? 52BBz +?À/21!? 52B/ Eo30 5C801 ? <0? 5214 52B»52801Eo[[1!Ea+x521_Fo<}0/21!_1!Eo30 ?Y5'+x521 69801 ? 1!_B3NA+!< E|?Á[B/C1J/21_Fa+x521!r5CB[528017½+_5A528N+x5Á}0/2BB. _B3N?Y52/2-N_5 EoB3E|?7+ Eo3NrBx)}N+x/'+#FGFo1_F)}0/2Bz_1!?C?44 J?991 ¿+#<EH35214/ Fo1!+#>1 }0/2BBx? 5214}N?Á/21_Fa+x5 Eo30r52B¿}E º,14/21435 ? <- 0B+#Fa?4EH57¿+ 1!?A? 143N? 1 52B[-03NB9Eo528 /21!? }1!_5 5CB¿+ xEo>143º? <- 0B+#F½E½m1o52B -03NB[528017Fa+?Y5 ? 5214}r528N+.5)Fo1!r52B 52801J1_~Ea? 52143N_1Bx¨528Ea?A? <- 0B+#F½014>143r5280B-08r528Ea? ¿+#<[30BÐ5 N15C8017F|+? 5 ?Y5214}Eo3º52801? 1 -0143N_1B. +_5YEHB3N?ABx52801-N? 14/# +14+#FGF¨528Ea?ÁB}N14/_+x5 EoB3nG"W !_\n L`W ¦¨8Ea? 52B/YE|4+F¨-03NBxEo30 Ea? -EH5C1?Eo[}Fo1J52BEH}FH141435ÁEo3º+5C/'+Eo5 EoB3N+#F,}0/2Bx>14/!.FoBz4+#F,-03NBxEo30Ea?B/21 E _-Fo5! Eo3}N+x/25 Ea_-Fa+x/EG;52801}0/2Bx>14/1!+#Fa?J9Eo528 FHBxEa4+#F>+x/YE|N+ FH1!? +Eo5280B-05JFoB.E|4+F>+x/ Ea+ Fo1!?4}0/2BBx½? Bx }E º,14/21435[? <- 0B+#Fa? 4+x3 1 _B3N?Ea14/21! +?J5C/2-Fo<}N+x/'+#FGFo1_F +_5 Eo>EH5YEH1!? 528N+x5B 30B5ÀEo35214/Y14/219Eo528B301 +x30B5C8014/! J?? BB3 +? 5C8014/21 +x/C1FHBxEa4+#F >x+x/ Ea+ Fo1!?47+}0/2BBx? 5214} EH3©B301º?Y<- 0B+#F +!< Eo3N? 5'+x35 Ea+x521 + >+./ Ea+ Fo1JA8Ea28rB04_-0/'? Eo3rB528014/;?Y<- 0B+#Fa?46{8E|?%[1!+.3N?5C8N+x5A80143r-03NB.EH30 B30 1 0/'+x3NC8Bx +J}0/CBBx2B301 ¿+#<GB 05'+#Eo3º+[? <- 0B+#F¨528N+.5;A+?{3014>14/A143N_B-035214/21! N1_VB/219698Ea?9Ea?{EH3 _B352/'+? 599Eo528r8Ea? 5CB/ Ea4+#F)-03NBN A8014/21B301+FHA+#<0?/C1452-0/23N?Á52B[}0/214>EoB-N?Fo< +x5C5'+6 1!¿?Y<- 0B+#Fa?4969801-N?Y14/ -03N14/'?Y5'+x3N0?{FHB04+#F)-03NB +?A+x3 B}14/'+x5 EoB3rB3»52801J}0/2BBx?2_/ Eo}05!0A8EaC8º91J30Bx1_~0}F|+EH3, . . . . /9
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