# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_arithmetics_nrc(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(t_h4s_nums_num,h4s_nums_0),s(X1,X3),s(X1,X2))))<=>s(X1,X3)=s(X1,X2)),file('i/f/arithmetic/NRC__0', ch4s_arithmetics_NRCu_u_0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/NRC__0', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/NRC__0', aHLu_FALSITY)).
fof(4, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/arithmetic/NRC__0', aHLu_BOOLu_CASES)).
fof(5, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_arithmetics_nrc(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(t_h4s_nums_num,h4s_nums_0),s(X1,X3),s(X1,X2))))<=>s(X1,X3)=s(X1,X2)),file('i/f/arithmetic/NRC__0', ah4s_arithmetics_NRC0u_c0)).
# SZS output end CNFRefutation
