# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:s(t_bool,h4s_fcps_fcpu_u_exists(s(t_fun(X1,t_bool),X4),s(t_h4s_fcps_cart(X1,X2),X3)))=s(t_bool,h4s_lists_exists(s(t_fun(X1,t_bool),X4),s(t_h4s_lists_list(X1),h4s_fcps_v2l(s(t_h4s_fcps_cart(X1,X2),X3))))),file('i/f/fcp/FCP__EXISTS0', ch4s_fcps_FCPu_u_EXISTS0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/fcp/FCP__EXISTS0', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/fcp/FCP__EXISTS0', aHLu_FALSITY)).
fof(4, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/fcp/FCP__EXISTS0', aHLu_BOOLu_CASES)).
fof(8, axiom,![X1]:![X11]:![X8]:![X4]:(p(s(t_bool,h4s_lists_exists(s(t_fun(X1,t_bool),X4),s(t_h4s_lists_list(X1),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,X1),X8),s(t_h4s_nums_num,X11))))))<=>?[X12]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X11))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,happ(s(t_fun(t_h4s_nums_num,X1),X8),s(t_h4s_nums_num,X12)))))))),file('i/f/fcp/FCP__EXISTS0', ah4s_lists_EXISTSu_u_GENLIST)).
fof(9, axiom,![X2]:![X1]:![X3]:![X4]:(p(s(t_bool,h4s_fcps_fcpu_u_exists(s(t_fun(X2,t_bool),X4),s(t_h4s_fcps_cart(X2,X1),X3))))<=>?[X12]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))))&p(s(t_bool,happ(s(t_fun(X2,t_bool),X4),s(X2,happ(s(t_fun(t_h4s_nums_num,X2),h4s_fcps_fcpu_u_index(s(t_h4s_fcps_cart(X2,X1),X3))),s(t_h4s_nums_num,X12)))))))),file('i/f/fcp/FCP__EXISTS0', ah4s_fcps_FCPu_u_EXISTSu_u_def)).
fof(10, axiom,![X1]:![X2]:![X3]:s(t_h4s_lists_list(X1),h4s_fcps_v2l(s(t_h4s_fcps_cart(X1,X2),X3)))=s(t_h4s_lists_list(X1),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,X1),h4s_fcps_fcpu_u_index(s(t_h4s_fcps_cart(X1,X2),X3))),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value))))),file('i/f/fcp/FCP__EXISTS0', ah4s_fcps_V2Lu_u_def)).
# SZS output end CNFRefutation
