# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0))))<=>s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/arithmetic/LESS__EQ__0', ch4s_arithmetics_LESSu_u_EQu_u_0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/LESS__EQ__0', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/LESS__EQ__0', aHLu_FALSITY)).
fof(4, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/arithmetic/LESS__EQ__0', aHLu_BOOLu_CASES)).
fof(6, axiom,![X5]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X5)))),file('i/f/arithmetic/LESS__EQ__0', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(7, axiom,![X1]:![X5]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X5))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X1)))))=>s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,X5)),file('i/f/arithmetic/LESS__EQ__0', ah4s_arithmetics_LESSu_u_EQUALu_u_ANTISYM)).
fof(8, axiom,![X1]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))),file('i/f/arithmetic/LESS__EQ__0', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
# SZS output end CNFRefutation
