# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_always(s(t_fun(t_h4s_nums_num,t_bool),X1))),s(t_h4s_nums_num,X2))))<=>(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,X2))))&p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_next(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_always(s(t_fun(t_h4s_nums_num,t_bool),X1))))),s(t_h4s_nums_num,X2)))))),file('i/f/Past_Temporal_Logic/RECURSION_c0', ch4s_Pastu_u_Temporalu_u_Logics_RECURSIONu_c0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/Past_Temporal_Logic/RECURSION_c0', aHLu_TRUTH)).
fof(9, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/Past_Temporal_Logic/RECURSION_c0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(64, axiom,![X21]:![X22]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_always(s(t_fun(t_h4s_nums_num,t_bool),X22))),s(t_h4s_nums_num,X21))))<=>(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X22),s(t_h4s_nums_num,X21))))&p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_next(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_always(s(t_fun(t_h4s_nums_num,t_bool),X22))))),s(t_h4s_nums_num,X21)))))),file('i/f/Past_Temporal_Logic/RECURSION_c0', ah4s_Temporalu_u_Logics_ALWAYSu_u_REC)).
fof(65, axiom,![X22]:![X2]:s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_next(s(t_fun(t_h4s_nums_num,t_bool),X22))),s(t_h4s_nums_num,X2)))=s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X22),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2))))),file('i/f/Past_Temporal_Logic/RECURSION_c0', ah4s_Temporalu_u_Logics_NEXT0)).
# SZS output end CNFRefutation
