# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))))<=>s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/arithmetic/NOT__LT__ZERO__EQ__ZERO', ch4s_arithmetics_NOTu_u_LTu_u_ZEROu_u_EQu_u_ZERO)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/NOT__LT__ZERO__EQ__ZERO', aHLu_TRUTH)).
fof(8, axiom,![X1]:(~(s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0))<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1))))),file('i/f/arithmetic/NOT__LT__ZERO__EQ__ZERO', ah4s_arithmetics_NOTu_u_ZEROu_u_LTu_u_ZERO)).
fof(9, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/NOT__LT__ZERO__EQ__ZERO', aHLu_FALSITY)).
fof(10, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/arithmetic/NOT__LT__ZERO__EQ__ZERO', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
