# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_h4s_totos_cpn,happ(s(t_fun(X1,t_h4s_totos_cpn),happ(s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),h4s_totos_apto(s(t_h4s_totos_toto(X1),X3))),s(X1,X2))),s(X1,X2)))=s(t_h4s_totos_cpn,h4s_totos_equal),file('i/f/toto/toto__refl', ch4s_totos_totou_u_refl)).
fof(3, axiom,![X5]:![X6]:(s(t_bool,X6)=s(t_bool,X5)<=>((p(s(t_bool,X6))=>p(s(t_bool,X5)))&(p(s(t_bool,X5))=>p(s(t_bool,X6))))),file('i/f/toto/toto__refl', ah4s_bools_EQu_u_IMPu_u_THM)).
fof(31, axiom,![X1]:![X3]:(p(s(t_bool,happ(s(t_fun(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),t_bool),h4s_totos_totord),s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),X3))))=>![X2]:s(t_h4s_totos_cpn,happ(s(t_fun(X1,t_h4s_totos_cpn),happ(s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),X3),s(X1,X2))),s(X1,X2)))=s(t_h4s_totos_cpn,h4s_totos_equal)),file('i/f/toto/toto__refl', ah4s_totos_TOu_u_refl)).
fof(38, axiom,![X1]:![X8]:(p(s(t_bool,happ(s(t_fun(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),t_bool),h4s_totos_totord),s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),X8))))<=>s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),h4s_totos_apto(s(t_h4s_totos_toto(X1),h4s_totos_to(s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),X8)))))=s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),X8)),file('i/f/toto/toto__refl', ah4s_totos_tou_u_biju_c1)).
fof(43, axiom,![X1]:![X30]:?[X8]:(s(t_h4s_totos_toto(X1),X30)=s(t_h4s_totos_toto(X1),h4s_totos_to(s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),X8)))&p(s(t_bool,happ(s(t_fun(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),t_bool),h4s_totos_totord),s(t_fun(X1,t_fun(X1,t_h4s_totos_cpn)),X8))))),file('i/f/toto/toto__refl', ah4s_totos_TOu_u_onto)).
fof(52, axiom,p(s(t_bool,t)),file('i/f/toto/toto__refl', aHLu_TRUTH)).
fof(53, axiom,~(p(s(t_bool,f))),file('i/f/toto/toto__refl', aHLu_FALSITY)).
fof(57, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/toto/toto__refl', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
