# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X2))))<=>(s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0)|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))),file('i/f/arithmetic/LE__MULT__CANCEL__RBARE_c0', ch4s_arithmetics_LEu_u_MULTu_u_CANCELu_u_RBAREu_c0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/LE__MULT__CANCEL__RBARE_c0', aHLu_TRUTH)).
fof(7, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/arithmetic/LE__MULT__CANCEL__RBARE_c0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(44, axiom,![X4]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,X4),file('i/f/arithmetic/LE__MULT__CANCEL__RBARE_c0', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(45, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/LE__MULT__CANCEL__RBARE_c0', ah4s_arithmetics_ALTu_u_ZERO)).
fof(49, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/LE__MULT__CANCEL__RBARE_c0', ah4s_arithmetics_MULTu_u_0)).
fof(57, axiom,![X1]:![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))),file('i/f/arithmetic/LE__MULT__CANCEL__RBARE_c0', ah4s_arithmetics_MULTu_u_COMM)).
fof(61, axiom,![X9]:![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X1))))))<=>(s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0)|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X9)))))),file('i/f/arithmetic/LE__MULT__CANCEL__RBARE_c0', ah4s_arithmetics_LEu_u_MULTu_u_RCANCEL)).
fof(67, axiom,![X2]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X2)))),file('i/f/arithmetic/LE__MULT__CANCEL__RBARE_c0', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(71, axiom,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_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/arithmetic/LE__MULT__CANCEL__RBARE_c0', ah4s_arithmetics_ONE)).
fof(73, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(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,X2)))=s(t_h4s_nums_num,X2),file('i/f/arithmetic/LE__MULT__CANCEL__RBARE_c0', ah4s_arithmetics_MULTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
