# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_mul(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X2))),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_l2)))=s(t_h4s_fcps_cart(t_bool,X1),h4s_bools_cond(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X2))),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_l2))),file('i/f/words/word__L2__MULT_c2', ch4s_wordss_wordu_u_L2u_u_MULTu_c2)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/words/word__L2__MULT_c2', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/words/word__L2__MULT_c2', aHLu_FALSITY)).
fof(4, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/words/word__L2__MULT_c2', aHLu_BOOLu_CASES)).
fof(6, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/words/word__L2__MULT_c2', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(11, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/words/word__L2__MULT_c2', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(12, axiom,![X6]:![X4]:![X5]:s(X6,h4s_bools_cond(s(t_bool,t),s(X6,X5),s(X6,X4)))=s(X6,X5),file('i/f/words/word__L2__MULT_c2', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(13, axiom,![X6]:![X4]:![X5]:s(X6,h4s_bools_cond(s(t_bool,f),s(X6,X5),s(X6,X4)))=s(X6,X4),file('i/f/words/word__L2__MULT_c2', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(18, axiom,![X6]:![X2]:s(t_h4s_fcps_cart(t_bool,X6),h4s_wordss_wordu_u_mul(s(t_h4s_fcps_cart(t_bool,X6),h4s_wordss_n2w(s(t_h4s_nums_num,X2))),s(t_h4s_fcps_cart(t_bool,X6),h4s_wordss_wordu_u_l)))=s(t_h4s_fcps_cart(t_bool,X6),h4s_bools_cond(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X2))),s(t_h4s_fcps_cart(t_bool,X6),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_fcps_cart(t_bool,X6),h4s_wordss_wordu_u_l))),file('i/f/words/word__L2__MULT_c2', ah4s_wordss_wordu_u_Lu_u_MULT)).
fof(19, axiom,![X6]:s(t_h4s_fcps_cart(t_bool,X6),h4s_wordss_wordu_u_l2)=s(t_h4s_fcps_cart(t_bool,X6),h4s_wordss_wordu_u_mul(s(t_h4s_fcps_cart(t_bool,X6),h4s_wordss_wordu_u_l),s(t_h4s_fcps_cart(t_bool,X6),h4s_wordss_wordu_u_l))),file('i/f/words/word__L2__MULT_c2', ah4s_wordss_wordu_u_L2u_u_def)).
fof(20, axiom,![X6]:s(t_h4s_fcps_cart(t_bool,X6),h4s_wordss_wordu_u_l)=s(t_h4s_fcps_cart(t_bool,X6),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(X6),h4s_bools_theu_u_value))))),file('i/f/words/word__L2__MULT_c2', ah4s_wordss_wordu_u_Lu_u_def)).
fof(21, axiom,![X6]:![X14]:s(t_h4s_fcps_cart(t_bool,X6),h4s_wordss_wordu_u_mul(s(t_h4s_fcps_cart(t_bool,X6),X14),s(t_h4s_fcps_cart(t_bool,X6),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_fcps_cart(t_bool,X6),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/words/word__L2__MULT_c2', ah4s_wordss_WORDu_u_MULTu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
