# 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,X2),s(t_h4s_nums_num,X1))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1)))))=>(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X3)))<=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X3))),file('i/f/arithmetic/SUB__CANCEL', ch4s_arithmetics_SUBu_u_CANCEL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/SUB__CANCEL', aHLu_TRUTH)).
fof(6, axiom,![X7]:(s(t_bool,t)=s(t_bool,X7)<=>p(s(t_bool,X7))),file('i/f/arithmetic/SUB__CANCEL', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(10, axiom,![X2]:![X3]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3))),file('i/f/arithmetic/SUB__CANCEL', ah4s_arithmetics_ADDu_u_SYM)).
fof(12, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))=>(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,X1)<=>s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))))),file('i/f/arithmetic/SUB__CANCEL', ah4s_arithmetics_ADDu_u_EQu_u_SUB)).
fof(15, axiom,![X8]:![X9]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,X8)))=s(t_h4s_nums_num,X9),file('i/f/arithmetic/SUB__CANCEL', ah4s_arithmetics_ADDu_u_SUB)).
# SZS output end CNFRefutation
