# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2))))|p(s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_fcps_cart(t_bool,X1),X3))))),file('i/f/words/WORD__LOWER__EQ__CASES', ch4s_wordss_WORDu_u_LOWERu_u_EQu_u_CASES)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/words/WORD__LOWER__EQ__CASES', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/words/WORD__LOWER__EQ__CASES', aHLu_FALSITY)).
fof(6, axiom,![X5]:![X6]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X6))))),file('i/f/words/WORD__LOWER__EQ__CASES', ah4s_arithmetics_LESSu_u_EQu_u_CASES)).
fof(7, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/words/WORD__LOWER__EQ__CASES', aHLu_BOOLu_CASES)).
fof(8, axiom,![X1]:![X2]:![X3]:s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X3))),s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X2))))),file('i/f/words/WORD__LOWER__EQ__CASES', ah4s_wordss_WORDu_u_LS)).
# SZS output end CNFRefutation
