# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))))=>s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/words/n2w__sub__eq__0', ch4s_wordss_n2wu_u_subu_u_equ_u_0)).
fof(5, axiom,![X7]:![X8]:((p(s(t_bool,X8))=>p(s(t_bool,X7)))=>((p(s(t_bool,X7))=>p(s(t_bool,X8)))=>s(t_bool,X8)=s(t_bool,X7))),file('i/f/words/n2w__sub__eq__0', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(33, axiom,![X13]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X13)))),file('i/f/words/n2w__sub__eq__0', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(42, 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/n2w__sub__eq__0', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(50, axiom,![X14]:![X12]:![X13]:(s(t_h4s_nums_num,X13)=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X14)))<=>(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X14)))=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,h4s_nums_0))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X14))))))),file('i/f/words/n2w__sub__eq__0', ah4s_arithmetics_SUBu_u_LEFTu_u_EQ)).
fof(55, axiom,![X23]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,X23)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/words/n2w__sub__eq__0', ah4s_arithmetics_SUBu_u_EQUALu_u_0)).
# SZS output end CNFRefutation
