# 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(30, axiom,![X19]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X19)))=s(t_h4s_nums_num,X19),file('i/f/arithmetic/MODEQ__0__CONG', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(32, axiom,![X18]:![X19]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X19))),file('i/f/arithmetic/MODEQ__0__CONG', ah4s_arithmetics_ADDu_u_SYM)).
fof(35, axiom,![X19]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X19)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/MODEQ__0__CONG', ah4s_arithmetics_MULTu_u_CLAUSESu_c0)).
fof(36, axiom,![X19]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X19),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(44, axiom,![X18]:![X19]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18)))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X19))),file('i/f/arithmetic/MODEQ__0__CONG', ah4s_arithmetics_MULTu_u_COMM)).
fof(45, axiom,![X19]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X19),file('i/f/arithmetic/MODEQ__0__CONG', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(52, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/MODEQ__0__CONG', aHLu_FALSITY)).
fof(69, axiom,![X4]:(s(t_bool,X4)=s(t_bool,f)<=>~(p(s(t_bool,X4)))),file('i/f/arithmetic/MODEQ__0__CONG', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(80, axiom,![X18]:![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_modeq(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))<=>?[X25]:?[X26]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X25),s(t_h4s_nums_num,X18))),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,X26),s(t_h4s_nums_num,X18))),s(t_h4s_nums_num,X1)))),file('i/f/arithmetic/MODEQ__0__CONG', ah4s_arithmetics_MODEQu_u_DEF)).
# SZS output end CNFRefutation
