# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((~(s(t_h4s_extreals_extreal,X3)=s(t_h4s_extreals_extreal,h4s_extreals_neginf))&~(s(t_h4s_extreals_extreal,X3)=s(t_h4s_extreals_extreal,h4s_extreals_posinf)))=>s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sub(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,X3)))))=s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X3))),s(t_h4s_extreals_extreal,X1)))),file('i/f/extreal/le__sub__eq', ch4s_extreals_leu_u_subu_u_eq)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/extreal/le__sub__eq', aHLu_FALSITY)).
fof(3, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/extreal/le__sub__eq', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(18, axiom,![X2]:![X3]:(p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X2))))<=>~(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X3)))))),file('i/f/extreal/le__sub__eq', ah4s_extreals_extrealu_u_ltu_u_def)).
fof(19, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X3))),s(t_h4s_extreals_extreal,X1))))=>p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sub(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,X3))))))),file('i/f/extreal/le__sub__eq', ah4s_extreals_leu_u_subu_u_imp)).
fof(20, axiom,![X1]:![X2]:![X3]:((~(s(t_h4s_extreals_extreal,X3)=s(t_h4s_extreals_extreal,h4s_extreals_neginf))&(~(s(t_h4s_extreals_extreal,X3)=s(t_h4s_extreals_extreal,h4s_extreals_posinf))&p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,X3))))))))=>p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sub(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X3))),s(t_h4s_extreals_extreal,X1))))),file('i/f/extreal/le__sub__eq', ah4s_extreals_subu_u_ltu_u_imp)).
fof(21, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/extreal/le__sub__eq', aHLu_BOOLu_CASES)).
fof(22, axiom,p(s(t_bool,t)),file('i/f/extreal/le__sub__eq', aHLu_TRUTH)).
fof(24, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/extreal/le__sub__eq', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
