# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_hreals_isacut(s(t_fun(t_h4s_hrats_hrat,t_bool),h4s_hreals_cut(s(t_h4s_hreals_hreal,X1)))))),file('i/f/hreal/CUT__ISACUT', ch4s_hreals_CUTu_u_ISACUT)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/hreal/CUT__ISACUT', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/hreal/CUT__ISACUT', aHLu_FALSITY)).
fof(7, axiom,![X5]:(p(s(t_bool,h4s_hreals_isacut(s(t_fun(t_h4s_hrats_hrat,t_bool),X5))))<=>s(t_fun(t_h4s_hrats_hrat,t_bool),h4s_hreals_cut(s(t_h4s_hreals_hreal,h4s_hreals_hreal0(s(t_fun(t_h4s_hrats_hrat,t_bool),X5)))))=s(t_fun(t_h4s_hrats_hrat,t_bool),X5)),file('i/f/hreal/CUT__ISACUT', ah4s_hreals_hrealu_u_tybiju_c1)).
fof(8, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/hreal/CUT__ISACUT', aHLu_BOOLu_CASES)).
fof(9, axiom,![X6]:s(t_h4s_hreals_hreal,h4s_hreals_hreal0(s(t_fun(t_h4s_hrats_hrat,t_bool),h4s_hreals_cut(s(t_h4s_hreals_hreal,X6)))))=s(t_h4s_hreals_hreal,X6),file('i/f/hreal/CUT__ISACUT', ah4s_hreals_hrealu_u_tybiju_c0)).
# SZS output end CNFRefutation
