# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,X2)))=s(t_bool,f)=>![X3]:(![X4]:![X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_fun(t_h4s_nums_num,t_bool),t_fun(t_h4s_nums_num,t_bool)),X3),s(t_fun(t_h4s_nums_num,t_bool),X4))),s(t_h4s_nums_num,X2))))<=>~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X4),s(t_h4s_nums_num,X2))))))=>![X4]:![X5]:(p(s(t_bool,h4s_temporalu_u_logics_eventual(s(t_fun(t_h4s_nums_num,t_bool),X4),s(t_h4s_nums_num,X5))))<=>~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_until(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_fun(t_h4s_nums_num,t_bool),t_fun(t_h4s_nums_num,t_bool)),X3),s(t_fun(t_h4s_nums_num,t_bool),X4))),s(t_fun(t_h4s_nums_num,t_bool),X1))),s(t_h4s_nums_num,X5)))))))),file('i/f/Temporal_Logic/EVENTUAL__AS__UNTIL', ch4s_Temporalu_u_Logics_EVENTUALu_u_ASu_u_UNTIL)).
fof(33, axiom,![X2]:![X24]:![X4]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_until(s(t_fun(t_h4s_nums_num,t_bool),X4),s(t_fun(t_h4s_nums_num,t_bool),X24))),s(t_h4s_nums_num,X2))))<=>((![X9]:~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X24),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X2)))))))=>![X9]:p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X4),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X2)))))))&![X25]:((![X9]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X25))))=>~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X24),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X2))))))))&p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X24),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X25),s(t_h4s_nums_num,X2)))))))=>![X9]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X25))))=>p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X4),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X2)))))))))),file('i/f/Temporal_Logic/EVENTUAL__AS__UNTIL', ah4s_Temporalu_u_Logics_UNTILu_u_SIGNAL)).
fof(34, axiom,![X2]:![X24]:![X4]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_until(s(t_fun(t_h4s_nums_num,t_bool),X4),s(t_fun(t_h4s_nums_num,t_bool),X24))),s(t_h4s_nums_num,X2))))<=>![X10]:(p(s(t_bool,h4s_temporalu_u_logics_watch(s(t_fun(t_h4s_nums_num,t_bool),X10),s(t_fun(t_h4s_nums_num,t_bool),X24),s(t_h4s_nums_num,X2))))=>![X9]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X10),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X2))))))|(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X24),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X2))))))|p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X4),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X2)))))))))),file('i/f/Temporal_Logic/EVENTUAL__AS__UNTIL', ah4s_Temporalu_u_Logics_UNTILu_u_IMP)).
fof(36, axiom,![X2]:![X26]:(p(s(t_bool,h4s_temporalu_u_logics_eventual(s(t_fun(t_h4s_nums_num,t_bool),X26),s(t_h4s_nums_num,X2))))<=>?[X9]:p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X26),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X2))))))),file('i/f/Temporal_Logic/EVENTUAL__AS__UNTIL', ah4s_Temporalu_u_Logics_EVENTUAL0)).
fof(39, axiom,~(p(s(t_bool,f))),file('i/f/Temporal_Logic/EVENTUAL__AS__UNTIL', aHLu_FALSITY)).
fof(40, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)|s(t_bool,X9)=s(t_bool,f)),file('i/f/Temporal_Logic/EVENTUAL__AS__UNTIL', aHLu_BOOLu_CASES)).
fof(42, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/Temporal_Logic/EVENTUAL__AS__UNTIL', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
