# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_and(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),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_add(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2)))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_xor(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2)))),file('i/f/words/WORD__ADD__XOR', ch4s_wordss_WORDu_u_ADDu_u_XOR)).
fof(28, axiom,![X1]:![X22]:![X2]:![X3]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_and(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_xor(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2))),s(t_h4s_fcps_cart(t_bool,X1),X22)))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_xor(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_and(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X22))),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_and(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_fcps_cart(t_bool,X1),X22))))),file('i/f/words/WORD__ADD__XOR', ah4s_wordss_WORDu_u_RIGHTu_u_ANDu_u_OVERu_u_XOR)).
fof(29, axiom,![X1]:![X22]:![X2]:![X3]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_and(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_xor(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_fcps_cart(t_bool,X1),X22)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_xor(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_and(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2))),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_and(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X22))))),file('i/f/words/WORD__ADD__XOR', ah4s_wordss_WORDu_u_LEFTu_u_ANDu_u_OVERu_u_XOR)).
fof(30, axiom,![X1]:![X3]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_xor(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X3)))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/words/WORD__ADD__XOR', ah4s_wordss_WORDu_u_XORu_u_CLAUSESu_c4)).
fof(31, axiom,![X1]:![X2]:![X3]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_xor(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2)))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_or(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_and(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_1comp(s(t_h4s_fcps_cart(t_bool,X1),X2))))),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_and(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_1comp(s(t_h4s_fcps_cart(t_bool,X1),X3))))))),file('i/f/words/WORD__ADD__XOR', ah4s_wordss_WORDu_u_XOR)).
fof(35, axiom,![X1]:![X2]:![X3]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_xor(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_1comp(s(t_h4s_fcps_cart(t_bool,X1),X2)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_1comp(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_xor(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2))))),file('i/f/words/WORD__ADD__XOR', ah4s_wordss_WORDu_u_NOTu_u_XORu_c1)).
fof(37, axiom,![X1]:![X3]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_xor(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),X3)))=s(t_h4s_fcps_cart(t_bool,X1),X3),file('i/f/words/WORD__ADD__XOR', ah4s_wordss_WORDu_u_XORu_u_CLAUSESu_c2)).
fof(38, axiom,![X1]:![X3]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_xor(s(t_h4s_fcps_cart(t_bool,X1),X3),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),X3),file('i/f/words/WORD__ADD__XOR', ah4s_wordss_WORDu_u_XORu_u_CLAUSESu_c3)).
fof(40, axiom,![X1]:![X2]:![X3]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_and(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2)))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_and(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_fcps_cart(t_bool,X1),X3))),file('i/f/words/WORD__ADD__XOR', ah4s_wordss_WORDu_u_ANDu_u_COMM)).
fof(44, axiom,![X1]:![X2]:![X3]:(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_and(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),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_add(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2)))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_or(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2)))),file('i/f/words/WORD__ADD__XOR', ah4s_wordss_WORDu_u_ADDu_u_OR)).
fof(66, axiom,![X1]:![X2]:![X3]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_or(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_and(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2)))))=s(t_h4s_fcps_cart(t_bool,X1),X3),file('i/f/words/WORD__ADD__XOR', ah4s_wordss_WORDu_u_ANDu_u_ABSORD)).
# SZS output end CNFRefutation
