# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_temporalu_u_logics_always(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X1))))<=>![X3]:p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,X1))))))),file('i/f/Temporal_Logic/ALWAYS__SIGNAL', ch4s_Temporalu_u_Logics_ALWAYSu_u_SIGNAL)).
fof(31, axiom,![X27]:![X28]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_arithmetics_u_2b(s(t_h4s_nums_num,X28))),s(t_h4s_nums_num,X27)))=s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_arithmetics_u_2b(s(t_h4s_nums_num,X27))),s(t_h4s_nums_num,X28))),file('i/f/Temporal_Logic/ALWAYS__SIGNAL', ah4s_arithmetics_ADDu_u_SYM)).
fof(44, axiom,![X1]:![X16]:(p(s(t_bool,h4s_temporalu_u_logics_always(s(t_fun(t_h4s_nums_num,t_bool),X16),s(t_h4s_nums_num,X1))))<=>![X3]:p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X16),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,X1))))))),file('i/f/Temporal_Logic/ALWAYS__SIGNAL', ah4s_Temporalu_u_Logics_ALWAYS0)).
fof(65, axiom,~(p(s(t_bool,f))),file('i/f/Temporal_Logic/ALWAYS__SIGNAL', aHLu_FALSITY)).
fof(66, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t1)|s(t_bool,X3)=s(t_bool,f)),file('i/f/Temporal_Logic/ALWAYS__SIGNAL', aHLu_BOOLu_CASES)).
fof(67, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t1))),file('i/f/Temporal_Logic/ALWAYS__SIGNAL', ah4s_bools_NOTu_u_CLAUSESu_c2)).
fof(69, axiom,![X3]:(s(t_bool,f)=s(t_bool,X3)<=>~(p(s(t_bool,X3)))),file('i/f/Temporal_Logic/ALWAYS__SIGNAL', ah4s_bools_EQu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
