# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1)))<=>(s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,h4s_nums_0)|s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X1))),file('i/f/arithmetic/EQ__MULT__LCANCEL', ch4s_arithmetics_EQu_u_MULTu_u_LCANCEL)).
fof(5, axiom,![X3]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/EQ__MULT__LCANCEL', ah4s_arithmetics_MULTu_u_CLAUSESu_c1)).
fof(6, axiom,![X2]:![X3]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3))),file('i/f/arithmetic/EQ__MULT__LCANCEL', ah4s_arithmetics_MULTu_u_SYM)).
fof(13, axiom,![X1]:![X2]:![X3]:(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))))<=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X3)),file('i/f/arithmetic/EQ__MULT__LCANCEL', ah4s_arithmetics_MULTu_u_SUCu_u_EQ)).
fof(33, axiom,![X3]:(s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,h4s_nums_0)|?[X2]:s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2)))),file('i/f/arithmetic/EQ__MULT__LCANCEL', ah4s_arithmetics_numu_u_CASES)).
fof(66, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/EQ__MULT__LCANCEL', ah4s_arithmetics_ALTu_u_ZERO)).
# SZS output end CNFRefutation
