# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X3),s(t_h4s_hreals_hreal,X2)))=s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X3),s(t_h4s_hreals_hreal,X1)))<=>s(t_h4s_hreals_hreal,X2)=s(t_h4s_hreals_hreal,X1)),file('i/f/realax/HREAL__EQ__LADD', ch4s_realaxs_HREALu_u_EQu_u_LADD)).
fof(9, axiom,![X7]:![X8]:![X9]:s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X9),s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X8),s(t_h4s_hreals_hreal,X7)))))=s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X9),s(t_h4s_hreals_hreal,X8))),s(t_h4s_hreals_hreal,X7))),file('i/f/realax/HREAL__EQ__LADD', ah4s_hreals_HREALu_u_ADDu_u_ASSOC)).
fof(10, axiom,![X8]:![X9]:(s(t_h4s_hreals_hreal,X9)=s(t_h4s_hreals_hreal,X8)|(?[X10]:s(t_h4s_hreals_hreal,X8)=s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X9),s(t_h4s_hreals_hreal,X10)))|?[X10]:s(t_h4s_hreals_hreal,X9)=s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X8),s(t_h4s_hreals_hreal,X10))))),file('i/f/realax/HREAL__EQ__LADD', ah4s_hreals_HREALu_u_ADDu_u_TOTAL)).
fof(11, axiom,![X2]:![X3]:~(s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X3),s(t_h4s_hreals_hreal,X2)))=s(t_h4s_hreals_hreal,X3)),file('i/f/realax/HREAL__EQ__LADD', ah4s_realaxs_HREALu_u_EQu_u_ADDR)).
# SZS output end CNFRefutation
