# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_min(s(t_h4s_extreals_extreal,h4s_extreals_posinf),s(t_h4s_extreals_extreal,X1)))=s(t_h4s_extreals_extreal,X1),file('i/f/extreal/min__infty_c1', ch4s_extreals_minu_u_inftyu_c1)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/extreal/min__infty_c1', aHLu_FALSITY)).
fof(6, axiom,![X3]:![X4]:((p(s(t_bool,X4))=>p(s(t_bool,X3)))=>((p(s(t_bool,X3))=>p(s(t_bool,X4)))=>s(t_bool,X4)=s(t_bool,X3))),file('i/f/extreal/min__infty_c1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(11, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)<=>p(s(t_bool,X2))),file('i/f/extreal/min__infty_c1', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(12, axiom,![X5]:![X3]:![X4]:s(X5,h4s_bools_cond(s(t_bool,t),s(X5,X4),s(X5,X3)))=s(X5,X4),file('i/f/extreal/min__infty_c1', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(13, axiom,![X5]:![X3]:![X4]:s(X5,h4s_bools_cond(s(t_bool,f),s(X5,X4),s(X5,X3)))=s(X5,X3),file('i/f/extreal/min__infty_c1', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(16, axiom,![X1]:(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_posinf),s(t_h4s_extreals_extreal,X1))))<=>s(t_h4s_extreals_extreal,X1)=s(t_h4s_extreals_extreal,h4s_extreals_posinf)),file('i/f/extreal/min__infty_c1', ah4s_extreals_leu_u_inftyu_c3)).
fof(17, axiom,![X6]:![X1]:s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_min(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,X6)))=s(t_h4s_extreals_extreal,h4s_bools_cond(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,X6))),s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,X6))),file('i/f/extreal/min__infty_c1', ah4s_extreals_extrealu_u_minu_u_def)).
# SZS output end CNFRefutation
