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Proof 13.29.prf
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Proof 13.29.prf
1
2.7wnds:Windows XP5.1FchFC1292820069086D1292820543430D1292828552852D1292828749789newFormat{p=proof{p{s(i{r&1;})r{u=uProof;s=proof;}o{c=1;s="";l="";d@}u{t()}f(t{s(i{r=fol{t="@x(Small(x)$Cube(x))";b()g=@;}})r{u=uPremise;s=step;}o=fol_fst{c=1;s="";l="";d@f=1;}u{t()}},t{s(i{r=fol{t="/x(~Cube(x))$/x(Small(x))";b()g=@;}})r&15;o=fol_fst{c=1;s="";l="";d@f=1;}u{t()}},t{s(i{r=fol{t="Cube(c)|~Cube(c)";b()g=@;}})r{u="uTaut Con";s=fol;}o=fol_con{c=1;s="";l="";d@f=1;}u{t()}},p{s(i{r&1;})r&5;o&6;u{t()}f(t{s(i{r=fol{t="Cube(c)";b()g=@;}})r&15;o=fol_fst{c=1;s="";l="";d@f=1;}u{t()}},t{s(i{r=fol{t="/x(Cube(x))";b()g=@;}})r{u="u\u2203 Intro";s=fol;}o=fol_fst{c=1;s="";l="";d@f=1;}u{t(p{si&44;ss=3.0;})}})},p{s(i{r&1;})r&5;o&6;u{t()}f(t{s(i{r=fol{t="~Cube(c)";b()g=@;}})r&15;o=fol_fst{c=1;s="";l="";d@f=1;}u{t()}},t{s(i{r=fol{t="/x~Cube(x)";b()g=@;}})r&55;o=fol_fst{c=1;s="";l="";d@f=1;}u{t(p{si&68;ss=4.0;})}},t{s(i{r=fol{t="/x(Small(x))";b()g=@;}})r{u="u\u2192 Elim";s=fol;}o=fol_fst{c=1;s="";l="";d@f=1;}u{t(p{si&76;ss=4.1;},p{si&21;ss=1;})}},p{s(i{r&1;})r&5;o&6;u{t()}f(t{s(i{r=fol{t="Small(d)";b(s=d;)g=@;}})r&15;o=fol_fst{c=1;s="";l="";d@f=1;}u{t()}},t{s(i{r=fol{t="Small(d)$Cube(d)";b()g=@;}})r{u="u\u2200 Elim";s=fol;}o=fol_fst{c=1;s="";l="";d@f=1;}u{t(p{si&12;ss=0;})}},t{s(i{r=fol{t="Cube(d)";b()g=@;}})r&88;o=fol_fst{c=1;s="";l="";d@f=1;}u{t(p{si&110;ss=4.3.1;},p{si&102;ss=4.3.0;})}},t{s(i{r=fol{t="/x(Cube(x))";b()g=@;}})r&55;o=fol_fst{c=1;s="";l="";d@f=1;}u{t(p{si&120;ss=4.3.2;})}})},t{s(i{r=fol{t="/x(Cube(x))";b()g=@;}})r{u="u\u2203 Elim";s=fol;}o=fol_fst{c=1;s="";l="";d@f=1;}u{t(p{si&96;ss=4.3.;},p{si&85;ss=4.2;})}})},t{s(i{r=fol{t="/x(Cube(x))";b()g=@;}})r{u="u\u2228 Elim";s=fol;}o=fol_fst{c=1;s="";l="";d@f=1;}u{t(p{si&38;ss=3.;},p{si&62;ss=4.;},p{si&29;ss=2;})}})}g{g(s{g{r=fol{t="/x(Cube(x))";b()c(l{n="t/f Connectives";a=true;},l{n=Identity;a=true;},l{n=Quantifiers;a=true;},l{n=ExMidd;a=false;},l{n=TwoTaut;a=false;},l{n=TautCon;a=false;},l{n="FO Con";a=false;},l{n=BabyAna;a=false;},l{n=TwoMore;a=false;},l{n=AnaCon;a=false;})g=@;}}r{u=uGoal;s=step;}s(s=5;)o{c=-8;s="You may not use Taut Con to satisfy this goal.";l="You may not use Taut Con to satisfy this goal.";d@}})}a=true;}}c=183406;s=298569;