# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_bool,h4s_bools_literalu_u_case(s(t_fun(X1,t_bool),X3),s(X1,X2)))=s(t_bool,d_forall(s(t_fun(X1,t_bool),h4s_combins_s(s(t_fun(X1,t_fun(t_bool,t_bool)),h4s_combins_o(s(t_fun(t_bool,t_fun(t_bool,t_bool)),d_imply),s(t_fun(X1,t_bool),h4s_combins_o(s(t_fun(t_bool,t_bool),h4s_markers_abbrev),s(t_fun(X1,t_bool),h4s_combins_c(s(t_fun(X1,t_fun(X1,t_bool)),d_equals),s(X1,X2))))))),s(t_fun(X1,t_bool),X3))))),file('i/f/combin/literal__case__FORALL__ELIM', ch4s_combins_literalu_u_caseu_u_FORALLu_u_ELIM)).
fof(29, axiom,![X1]:![X2]:![X3]:s(t_bool,h4s_bools_let(s(t_fun(X1,t_bool),X3),s(X1,X2)))=s(t_bool,d_forall(s(t_fun(X1,t_bool),h4s_combins_s(s(t_fun(X1,t_fun(t_bool,t_bool)),h4s_combins_o(s(t_fun(t_bool,t_fun(t_bool,t_bool)),d_imply),s(t_fun(X1,t_bool),h4s_combins_o(s(t_fun(t_bool,t_bool),h4s_markers_abbrev),s(t_fun(X1,t_bool),h4s_combins_c(s(t_fun(X1,t_fun(X1,t_bool)),d_equals),s(X1,X2))))))),s(t_fun(X1,t_bool),X3))))),file('i/f/combin/literal__case__FORALL__ELIM', ah4s_combins_LETu_u_FORALLu_u_ELIM)).
fof(55, axiom,![X11]:![X1]:![X7]:![X17]:s(X11,h4s_bools_literalu_u_case(s(t_fun(X1,X11),X7),s(X1,X17)))=s(X11,happ(s(t_fun(X1,X11),X7),s(X1,X17))),file('i/f/combin/literal__case__FORALL__ELIM', ah4s_bools_literalu_u_caseu_u_DEF)).
fof(75, axiom,![X11]:![X1]:![X7]:![X3]:s(X11,h4s_bools_let(s(t_fun(X1,X11),X3),s(X1,X7)))=s(X11,happ(s(t_fun(X1,X11),X3),s(X1,X7))),file('i/f/combin/literal__case__FORALL__ELIM', ah4s_bools_LETu_u_THM)).
# SZS output end CNFRefutation
