# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_suntil(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_fun(t_h4s_nums_num,t_bool),X1))),s(t_h4s_nums_num,X3))))<=>(~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,X3)))))=>(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X3))))&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_suntil(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_fun(t_h4s_nums_num,t_bool),X1))))),s(t_h4s_nums_num,X3))))))),file('i/f/Past_Temporal_Logic/RECURSION_c2', ch4s_Pastu_u_Temporalu_u_Logics_RECURSIONu_c2)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/Past_Temporal_Logic/RECURSION_c2', aHLu_FALSITY)).
fof(11, axiom,![X6]:(s(t_bool,X6)=s(t_bool,f)<=>~(p(s(t_bool,X6)))),file('i/f/Past_Temporal_Logic/RECURSION_c2', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(44, axiom,![X22]:![X1]:![X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_suntil(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_fun(t_h4s_nums_num,t_bool),X1))),s(t_h4s_nums_num,X22))))<=>(~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,X22)))))=>(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X22))))&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_suntil(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_fun(t_h4s_nums_num,t_bool),X1))))),s(t_h4s_nums_num,X22))))))),file('i/f/Past_Temporal_Logic/RECURSION_c2', ah4s_Temporalu_u_Logics_SUNTILu_u_REC)).
fof(52, axiom,![X24]:![X3]: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),X24))),s(t_h4s_nums_num,X3)))=s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X24),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3))))),file('i/f/Past_Temporal_Logic/RECURSION_c2', ah4s_Temporalu_u_Logics_NEXT0)).
fof(72, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/Past_Temporal_Logic/RECURSION_c2', aHLu_BOOLu_CASES)).
fof(73, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/Past_Temporal_Logic/RECURSION_c2', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
