# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(![X4]:![X5]:s(X1,happ(s(t_fun(t_h4s_nums_num,X1),happ(s(t_fun(t_h4s_fcps_cart(X1,X2),t_fun(t_h4s_nums_num,X1)),X3),s(t_h4s_fcps_cart(X1,X2),X4))),s(t_h4s_nums_num,X5)))=s(X1,h4s_fcps_fcpu_u_index(s(t_h4s_fcps_cart(X1,X2),X4),s(t_h4s_nums_num,X5)))=>![X4]:s(t_h4s_fcps_cart(X1,X2),h4s_fcps_fcp(s(t_fun(t_h4s_nums_num,X1),happ(s(t_fun(t_h4s_fcps_cart(X1,X2),t_fun(t_h4s_nums_num,X1)),X3),s(t_h4s_fcps_cart(X1,X2),X4)))))=s(t_h4s_fcps_cart(X1,X2),X4)),file('i/f/fcp/FCP__ETA', ch4s_fcps_FCPu_u_ETA)).
fof(12, axiom,![X1]:![X2]:![X11]:![X9]:(s(t_h4s_fcps_cart(X1,X2),X9)=s(t_h4s_fcps_cart(X1,X2),X11)<=>![X5]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value))))))=>s(X1,h4s_fcps_fcpu_u_index(s(t_h4s_fcps_cart(X1,X2),X9),s(t_h4s_nums_num,X5)))=s(X1,h4s_fcps_fcpu_u_index(s(t_h4s_fcps_cart(X1,X2),X11),s(t_h4s_nums_num,X5))))),file('i/f/fcp/FCP__ETA', ah4s_fcps_CARTu_u_EQ)).
fof(13, axiom,![X2]:![X1]:![X5]:![X4]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value))))))=>s(X1,h4s_fcps_fcpu_u_index(s(t_h4s_fcps_cart(X1,X2),h4s_fcps_fcp(s(t_fun(t_h4s_nums_num,X1),X4))),s(t_h4s_nums_num,X5)))=s(X1,happ(s(t_fun(t_h4s_nums_num,X1),X4),s(t_h4s_nums_num,X5)))),file('i/f/fcp/FCP__ETA', ah4s_fcps_FCPu_u_BETA)).
# SZS output end CNFRefutation
