# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_wordss_wordu_u_lo(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_l)))),file('i/f/words/ZERO__LO__INT__MIN', ch4s_wordss_ZEROu_u_LOu_u_INTu_u_MIN)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/words/ZERO__LO__INT__MIN', aHLu_FALSITY)).
fof(9, axiom,![X2]:((p(s(t_bool,X2))=>p(s(t_bool,f)))<=>s(t_bool,X2)=s(t_bool,f)),file('i/f/words/ZERO__LO__INT__MIN', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(21, axiom,![X12]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X12)))),file('i/f/words/ZERO__LO__INT__MIN', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(22, axiom,![X12]:![X13]:(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,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/ZERO__LO__INT__MIN', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(24, axiom,![X1]:![X15]:![X16]:s(t_bool,h4s_wordss_wordu_u_lo(s(t_h4s_fcps_cart(t_bool,X1),X16),s(t_h4s_fcps_cart(t_bool,X1),X15)))=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),X16))),s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X15))))),file('i/f/words/ZERO__LO__INT__MIN', ah4s_wordss_WORDu_u_LO)).
fof(25, axiom,![X1]:~(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_l)=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/words/ZERO__LO__INT__MIN', ah4s_wordss_NOTu_u_INTu_u_MINu_u_ZERO)).
fof(26, axiom,![X1]:![X17]:![X18]:(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X18)))=s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X17)))<=>s(t_h4s_fcps_cart(t_bool,X1),X18)=s(t_h4s_fcps_cart(t_bool,X1),X17)),file('i/f/words/ZERO__LO__INT__MIN', ah4s_wordss_w2nu_u_11)).
fof(27, axiom,![X1]:s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/words/ZERO__LO__INT__MIN', ah4s_wordss_wordu_u_0u_u_n2w)).
fof(32, 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/ZERO__LO__INT__MIN', ah4s_numerals_numeralu_u_lteu_c1)).
fof(33, 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/ZERO__LO__INT__MIN', ah4s_arithmetics_NOTu_u_LESS)).
fof(40, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)<=>p(s(t_bool,X2))),file('i/f/words/ZERO__LO__INT__MIN', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
