# 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),X1),s(t_h4s_nums_num,X2))))<=>?[X3]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,X3))))&![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),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,X2)))))))),file('i/f/Temporal_Logic/WELL__ORDER', ch4s_Temporalu_u_Logics_WELLu_u_ORDER)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/Temporal_Logic/WELL__ORDER', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/Temporal_Logic/WELL__ORDER', aHLu_FALSITY)).
fof(6, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/Temporal_Logic/WELL__ORDER', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(7, axiom,![X1]:(?[X2]:p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,X2))))=>?[X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,X2))))&![X3]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),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,X3)))))))),file('i/f/Temporal_Logic/WELL__ORDER', ah4s_arithmetics_WOP)).
fof(8, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/Temporal_Logic/WELL__ORDER', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
