# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X3),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))))=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X3),h4s_bools_theu_u_value))))))=>(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X2,t_bool),h4s_predu_u_sets_univ))))=>(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X4)))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_concat(s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_fcps_cart(t_bool,X3),X5)))<=>s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_n2w(s(t_h4s_nums_num,X4)))=s(t_h4s_fcps_cart(t_bool,X3),X5))))),file('i/f/HolSmt/r244', ch4s_HolSmts_r244)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/HolSmt/r244', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/r244', aHLu_FALSITY)).
fof(4, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/HolSmt/r244', aHLu_BOOLu_CASES)).
fof(21, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/HolSmt/r244', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(36, axiom,![X2]:![X1]:![X3]:![X4]:![X5]:((p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X2,t_bool),h4s_predu_u_sets_univ))))&(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X3),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X3),h4s_bools_theu_u_value))))))))=>(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_concat(s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_fcps_cart(t_bool,X3),X5)))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X4)))<=>s(t_h4s_fcps_cart(t_bool,X3),X5)=s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_n2w(s(t_h4s_nums_num,X4))))),file('i/f/HolSmt/r244', ah4s_wordss_wordu_u_concatu_u_0u_u_eq)).
# SZS output end CNFRefutation
