# 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,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X2))),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X1)))))=s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X1)))),file('i/f/extreal/le__ladd', ch4s_extreals_leu_u_ladd)).
fof(3, axiom,![X3]:p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X3)))),file('i/f/extreal/le__ladd', ah4s_extreals_leu_u_refl)).
fof(22, axiom,![X1]:![X2]:![X3]:![X14]:((p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X14),s(t_h4s_extreals_extreal,X3))))&p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X1)))))=>p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X14),s(t_h4s_extreals_extreal,X2))),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X1))))))),file('i/f/extreal/le__ladd', ah4s_extreals_leu_u_add2)).
fof(24, axiom,![X1]:![X2]:![X3]:![X14]:((~(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_le(s(t_h4s_extreals_extreal,X14),s(t_h4s_extreals_extreal,X3))))&p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X1)))))))=>p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X14),s(t_h4s_extreals_extreal,X2))),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X1))))))),file('i/f/extreal/le__ladd', ah4s_extreals_letu_u_add2u_u_alt)).
fof(29, axiom,s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_posinf),s(t_h4s_extreals_extreal,h4s_extreals_neginf)))=s(t_bool,f),file('i/f/extreal/le__ladd', ah4s_extreals_extrealu_u_leu_u_defu_c4)).
fof(36, axiom,![X3]:~(p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,h4s_extreals_neginf))))),file('i/f/extreal/le__ladd', ah4s_extreals_ltu_u_inftyu_c3)).
fof(38, 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__ladd', ah4s_extreals_extrealu_u_ltu_u_def)).
fof(45, axiom,~(p(s(t_bool,f))),file('i/f/extreal/le__ladd', aHLu_FALSITY)).
fof(46, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/extreal/le__ladd', aHLu_BOOLu_CASES)).
fof(58, axiom,![X7]:(s(t_bool,f)=s(t_bool,X7)<=>~(p(s(t_bool,X7)))),file('i/f/extreal/le__ladd', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(62, axiom,p(s(t_bool,t)),file('i/f/extreal/le__ladd', aHLu_TRUTH)).
fof(64, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/extreal/le__ladd', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(71, axiom,![X15]:s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_neginf),s(t_h4s_extreals_extreal,X15)))=s(t_bool,t),file('i/f/extreal/le__ladd', ah4s_extreals_extrealu_u_leu_u_defu_c1)).
# SZS output end CNFRefutation
