# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(5, axiom,![X7]:![X6]:s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_min(s(t_h4s_extreals_extreal,X6),s(t_h4s_extreals_extreal,X7)))=s(t_h4s_extreals_extreal,h4s_bools_cond(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X6),s(t_h4s_extreals_extreal,X7))),s(t_h4s_extreals_extreal,X6),s(t_h4s_extreals_extreal,X7))),file('i/f/extreal/min__infty_c2', ah4s_extreals_extrealu_u_minu_u_def)).
fof(9, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/extreal/min__infty_c2', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(37, axiom,![X9]:![X14]:![X15]:s(X9,h4s_bools_cond(s(t_bool,t),s(X9,X15),s(X9,X14)))=s(X9,X15),file('i/f/extreal/min__infty_c2', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(67, axiom,s(t_h4s_extreals_extreal,h4s_extreals_neginf)=s(t_h4s_extreals_extreal,h4s_extreals_u_20u_40indu_u_typeextreal0),file('i/f/extreal/min__infty_c2', ah4s_extreals_NegInf0)).
fof(68, axiom,s(t_h4s_extreals_extreal,h4s_extreals_posinf)=s(t_h4s_extreals_extreal,h4s_extreals_u_20u_40indu_u_typeextreal1),file('i/f/extreal/min__infty_c2', ah4s_extreals_PosInf0)).
fof(102, axiom,![X7]:![X6]:(p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X6),s(t_h4s_extreals_extreal,X7))))<=>~(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X7),s(t_h4s_extreals_extreal,X6)))))),file('i/f/extreal/min__infty_c2', ah4s_extreals_extrealu_u_ltu_u_def)).
fof(117, axiom,![X6]:~(p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X6),s(t_h4s_extreals_extreal,h4s_extreals_neginf))))),file('i/f/extreal/min__infty_c2', ah4s_extreals_ltu_u_inftyu_c3)).
fof(124, axiom,s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ainv(s(t_h4s_extreals_extreal,h4s_extreals_posinf)))=s(t_h4s_extreals_extreal,h4s_extreals_neginf),file('i/f/extreal/min__infty_c2', ah4s_extreals_extrealu_u_ainvu_u_defu_c1)).
fof(133, conjecture,![X6]:s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_min(s(t_h4s_extreals_extreal,h4s_extreals_neginf),s(t_h4s_extreals_extreal,X6)))=s(t_h4s_extreals_extreal,h4s_extreals_neginf),file('i/f/extreal/min__infty_c2', ch4s_extreals_minu_u_inftyu_c2)).
# SZS output end CNFRefutation
