# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:p(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),h4s_wordss_w2w(s(t_h4s_fcps_cart(t_bool,X2),X3))))),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value)))))),file('i/f/words/w2w__lt', ch4s_wordss_w2wu_u_lt)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/words/w2w__lt', aHLu_FALSITY)).
fof(17, axiom,![X9]:![X10]:![X11]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X9)))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X9))))),file('i/f/words/w2w__lt', ah4s_arithmetics_LESSu_u_EQu_u_LESSu_u_TRANS)).
fof(18, axiom,![X2]:![X3]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X2),X3))),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value)))))),file('i/f/words/w2w__lt', ah4s_wordss_w2nu_u_lt)).
fof(19, axiom,![X1]:![X2]:![X3]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_w2w(s(t_h4s_fcps_cart(t_bool,X2),X3))))),s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X2),X3)))))),file('i/f/words/w2w__lt', ah4s_wordss_w2nu_u_w2wu_u_le)).
fof(20, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/words/w2w__lt', aHLu_BOOLu_CASES)).
fof(21, axiom,p(s(t_bool,t)),file('i/f/words/w2w__lt', aHLu_TRUTH)).
fof(23, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/words/w2w__lt', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
