# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))),file('i/f/words/DIMINDEX__GT__0', ch4s_wordss_DIMINDEXu_u_GTu_u_0)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/words/DIMINDEX__GT__0', aHLu_FALSITY)).
fof(12, axiom,![X4]:((p(s(t_bool,X4))=>p(s(t_bool,f)))<=>s(t_bool,X4)=s(t_bool,f)),file('i/f/words/DIMINDEX__GT__0', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(23, axiom,![X11]:![X12]:![X13]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X11)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X11))))),file('i/f/words/DIMINDEX__GT__0', ah4s_arithmetics_LESSu_u_EQu_u_TRANS)).
fof(24, axiom,![X12]:![X13]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X13))))),file('i/f/words/DIMINDEX__GT__0', ah4s_arithmetics_NOTu_u_LESS)).
fof(25, axiom,![X1]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))),file('i/f/words/DIMINDEX__GT__0', ah4s_fcps_DIMINDEXu_u_GEu_u_1)).
fof(27, axiom,![X12]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/words/DIMINDEX__GT__0', ah4s_numerals_numeralu_u_distribu_c27)).
fof(28, axiom,![X12]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/words/DIMINDEX__GT__0', ah4s_numerals_numeralu_u_lteu_c1)).
fof(32, axiom,p(s(t_bool,t)),file('i/f/words/DIMINDEX__GT__0', aHLu_TRUTH)).
fof(34, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/words/DIMINDEX__GT__0', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
