# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_modeq(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))<=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X1)),file('i/f/arithmetic/MODEQ__0__CONG', ch4s_arithmetics_MODEQu_u_0u_u_CONG)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/MODEQ__0__CONG', aHLu_TRUTH)).
fof(6, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,X6),file('i/f/arithmetic/MODEQ__0__CONG', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(7, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/MODEQ__0__CONG', ah4s_arithmetics_MULTu_u_CLAUSESu_c1)).
fof(8, axiom,![X7]:![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_modeq(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))<=>?[X8]:?[X9]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,X1)))),file('i/f/arithmetic/MODEQ__0__CONG', ah4s_arithmetics_MODEQu_u_DEF)).
fof(9, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/MODEQ__0__CONG', aHLu_FALSITY)).
fof(10, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/arithmetic/MODEQ__0__CONG', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
