# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(![X5]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,X5))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X5)))))=>(p(s(t_bool,h4s_lists_every(s(t_fun(X1,t_bool),X4),s(t_h4s_lists_list(X1),X2))))=>p(s(t_bool,h4s_lists_every(s(t_fun(X1,t_bool),X3),s(t_h4s_lists_list(X1),X2)))))),file('i/f/list/MONO__EVERY', ch4s_lists_MONOu_u_EVERY)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/list/MONO__EVERY', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/list/MONO__EVERY', aHLu_FALSITY)).
fof(5, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/list/MONO__EVERY', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(7, axiom,![X8]:(s(t_bool,t)=s(t_bool,X8)<=>p(s(t_bool,X8))),file('i/f/list/MONO__EVERY', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(35, axiom,![X8]:(s(t_bool,X8)=s(t_bool,f)<=>~(p(s(t_bool,X8)))),file('i/f/list/MONO__EVERY', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(75, axiom,![X1]:![X2]:![X4]:(p(s(t_bool,h4s_lists_every(s(t_fun(X1,t_bool),X4),s(t_h4s_lists_list(X1),X2))))<=>![X33]:(p(s(t_bool,h4s_bools_in(s(X1,X33),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),X2))))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,X33)))))),file('i/f/list/MONO__EVERY', ah4s_lists_EVERYu_u_MEM)).
# SZS output end CNFRefutation
