# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:(![X7]:![X8]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),X6),s(X1,X7))),s(X2,X8))))=>p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),X5),s(X1,X7))),s(X2,X8)))))=>(p(s(t_bool,h4s_lists_listu_u_rel(s(t_fun(X1,t_fun(X2,t_bool)),X6),s(t_h4s_lists_list(X1),X4),s(t_h4s_lists_list(X2),X3))))=>p(s(t_bool,h4s_lists_listu_u_rel(s(t_fun(X1,t_fun(X2,t_bool)),X5),s(t_h4s_lists_list(X1),X4),s(t_h4s_lists_list(X2),X3)))))),file('i/f/list/LIST__REL__mono', ch4s_lists_LISTu_u_RELu_u_mono)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/list/LIST__REL__mono', aHLu_TRUTH)).
fof(8, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)<=>p(s(t_bool,X9))),file('i/f/list/LIST__REL__mono', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(13, axiom,![X1]:![X2]:![X3]:![X4]:![X19]:(p(s(t_bool,h4s_lists_listu_u_rel(s(t_fun(X1,t_fun(X2,t_bool)),X19),s(t_h4s_lists_list(X1),X4),s(t_h4s_lists_list(X2),X3))))<=>(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X4)))=s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X2),X3)))&![X20]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X4))))))=>p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),X19),s(X1,h4s_lists_el(s(t_h4s_nums_num,X20),s(t_h4s_lists_list(X1),X4))))),s(X2,h4s_lists_el(s(t_h4s_nums_num,X20),s(t_h4s_lists_list(X2),X3))))))))),file('i/f/list/LIST__REL__mono', ah4s_lists_LISTu_u_RELu_u_ELu_u_EQN)).
fof(14, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)|s(t_bool,X9)=s(t_bool,f)),file('i/f/list/LIST__REL__mono', aHLu_BOOLu_CASES)).
fof(15, axiom,~(p(s(t_bool,f))),file('i/f/list/LIST__REL__mono', aHLu_FALSITY)).
# SZS output end CNFRefutation
