# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,h4s_wordss_wordu_u_lo(s(t_h4s_fcps_cart(t_bool,X1),X4),s(t_h4s_fcps_cart(t_bool,X1),X3))))&p(s(t_bool,h4s_wordss_wordu_u_lo(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_lo(s(t_h4s_fcps_cart(t_bool,X1),X4),s(t_h4s_fcps_cart(t_bool,X1),X2))))),file('i/f/words/WORD__LOWER__TRANS', ch4s_wordss_WORDu_u_LOWERu_u_TRANS)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/words/WORD__LOWER__TRANS', aHLu_FALSITY)).
fof(22, axiom,![X1]:![X3]:![X4]:s(t_bool,h4s_wordss_wordu_u_lo(s(t_h4s_fcps_cart(t_bool,X1),X4),s(t_h4s_fcps_cart(t_bool,X1),X3)))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X4))),s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X3))))),file('i/f/words/WORD__LOWER__TRANS', ah4s_wordss_WORDu_u_LO)).
fof(23, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/words/WORD__LOWER__TRANS', aHLu_BOOLu_CASES)).
fof(24, axiom,![X13]:![X16]:![X17]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X16))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X13)))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X13))))),file('i/f/words/WORD__LOWER__TRANS', ah4s_arithmetics_LESSu_u_TRANS)).
fof(25, axiom,p(s(t_bool,t)),file('i/f/words/WORD__LOWER__TRANS', aHLu_TRUTH)).
fof(27, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/words/WORD__LOWER__TRANS', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
