# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),h4s_indu_u_types_injf(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_fun(X1,t_bool))),X3)))=s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),h4s_indu_u_types_injf(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_fun(X1,t_bool))),X2)))<=>s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_fun(X1,t_bool))),X3)=s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_fun(X1,t_bool))),X2)),file('i/f/ind_type/INJF__INJ', ch4s_indu_u_types_INJFu_u_INJ)).
fof(3, axiom,![X1]:![X6]:![X5]:s(t_fun(X1,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),h4s_indu_u_types_injf(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_fun(X1,t_bool))),X6))),s(t_h4s_nums_num,X5)))=s(t_fun(X1,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_fun(X1,t_bool))),X6),s(t_h4s_nums_num,h4s_indu_u_types_numfst(s(t_h4s_nums_num,X5))))),s(t_h4s_nums_num,h4s_indu_u_types_numsnd(s(t_h4s_nums_num,X5))))),file('i/f/ind_type/INJF__INJ', ah4s_indu_u_types_INJF0)).
fof(4, axiom,![X7]:![X8]:![X6]:![X9]:(![X5]:s(X8,happ(s(t_fun(X7,X8),X6),s(X7,X5)))=s(X8,happ(s(t_fun(X7,X8),X9),s(X7,X5)))=>s(t_fun(X7,X8),X6)=s(t_fun(X7,X8),X9)),file('i/f/ind_type/INJF__INJ', aHLu_EXT)).
fof(6, axiom,![X4]:![X5]:s(t_h4s_nums_num,h4s_indu_u_types_numsnd(s(t_h4s_nums_num,h4s_indu_u_types_numpair(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4)))))=s(t_h4s_nums_num,X4),file('i/f/ind_type/INJF__INJ', ah4s_indu_u_types_NUMPAIRu_u_DESTu_c1)).
fof(7, axiom,![X4]:![X5]:s(t_h4s_nums_num,h4s_indu_u_types_numfst(s(t_h4s_nums_num,h4s_indu_u_types_numpair(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4)))))=s(t_h4s_nums_num,X5),file('i/f/ind_type/INJF__INJ', ah4s_indu_u_types_NUMPAIRu_u_DESTu_c0)).
# SZS output end CNFRefutation
