# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value))))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X3),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value)))))))=>(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X5)))=s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X3),X4)))<=>s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_w2w(s(t_h4s_fcps_cart(t_bool,X1),X5)))=s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_w2w(s(t_h4s_fcps_cart(t_bool,X3),X4))))),file('i/f/words/w2n__11__lift', ch4s_wordss_w2nu_u_11u_u_lift)).
fof(18, axiom,![X11]:![X12]:((p(s(t_bool,X12))=>p(s(t_bool,X11)))=>((p(s(t_bool,X11))=>p(s(t_bool,X12)))=>s(t_bool,X12)=s(t_bool,X11))),file('i/f/words/w2n__11__lift', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(26, axiom,![X3]:![X1]:![X8]:s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_w2w(s(t_h4s_fcps_cart(t_bool,X1),X8)))))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X3),h4s_bools_theu_u_value))))),s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X8))),s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_bits(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X3),h4s_bools_theu_u_value))),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_nums_0),s(t_h4s_fcps_cart(t_bool,X1),X8))))))),file('i/f/words/w2n__11__lift', ah4s_wordss_w2nu_u_w2w)).
fof(28, axiom,![X3]:![X1]:![X8]:s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_w2w(s(t_h4s_fcps_cart(t_bool,X1),X8)))=s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X8))))),file('i/f/words/w2n__11__lift', ah4s_wordss_w2wu_u_def)).
fof(29, axiom,![X21]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X21))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/words/w2n__11__lift', ah4s_numerals_numeralu_u_lteu_c1)).
fof(30, axiom,![X21]:![X22]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X21)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X22))))),file('i/f/words/w2n__11__lift', ah4s_arithmetics_NOTu_u_LESS)).
fof(31, axiom,![X21]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X21))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/words/w2n__11__lift', ah4s_numerals_numeralu_u_distribu_c27)).
fof(33, axiom,![X21]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X21)))),file('i/f/words/w2n__11__lift', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(35, axiom,![X21]:![X22]:(s(t_h4s_nums_num,X22)=s(t_h4s_nums_num,X21)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X21))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X22)))))),file('i/f/words/w2n__11__lift', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(37, axiom,![X1]:![X11]:![X12]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X12),s(X1,X11)))=s(X1,X12),file('i/f/words/w2n__11__lift', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(42, axiom,![X11]:![X12]:![X4]:(p(s(t_bool,h4s_bools_cond(s(t_bool,X4),s(t_bool,X12),s(t_bool,X11))))<=>((~(p(s(t_bool,X4)))|p(s(t_bool,X12)))&(p(s(t_bool,X4))|p(s(t_bool,X11))))),file('i/f/words/w2n__11__lift', ah4s_bools_CONDu_u_EXPAND)).
fof(51, axiom,![X21]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X21)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X21))),file('i/f/words/w2n__11__lift', ah4s_numerals_numeralu_u_distribu_c21)).
fof(59, axiom,![X21]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X21)))))=s(t_bool,t),file('i/f/words/w2n__11__lift', ah4s_numerals_numeralu_u_ltu_c0)).
fof(60, axiom,![X21]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/words/w2n__11__lift', ah4s_numerals_numeralu_u_ltu_c2)).
# SZS output end CNFRefutation
