# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_bool,h4s_hreals_hrealu_u_lt(s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X3),s(t_h4s_hreals_hreal,X2))),s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X3),s(t_h4s_hreals_hreal,X1)))))=s(t_bool,h4s_hreals_hrealu_u_lt(s(t_h4s_hreals_hreal,X2),s(t_h4s_hreals_hreal,X1))),file('i/f/realax/HREAL__LT__LADD', ch4s_realaxs_HREALu_u_LTu_u_LADD)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/realax/HREAL__LT__LADD', aHLu_TRUTH)).
fof(4, 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/realax/HREAL__LT__LADD', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(7, axiom,![X8]:![X9]:![X10]:s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X10),s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X9),s(t_h4s_hreals_hreal,X8)))))=s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X10),s(t_h4s_hreals_hreal,X9))),s(t_h4s_hreals_hreal,X8))),file('i/f/realax/HREAL__LT__LADD', ah4s_hreals_HREALu_u_ADDu_u_ASSOC)).
fof(8, axiom,![X1]:![X2]:![X3]:(s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X3),s(t_h4s_hreals_hreal,X2)))=s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X3),s(t_h4s_hreals_hreal,X1)))<=>s(t_h4s_hreals_hreal,X2)=s(t_h4s_hreals_hreal,X1)),file('i/f/realax/HREAL__LT__LADD', ah4s_realaxs_HREALu_u_EQu_u_LADD)).
fof(9, axiom,![X9]:![X10]:(p(s(t_bool,h4s_hreals_hrealu_u_lt(s(t_h4s_hreals_hreal,X10),s(t_h4s_hreals_hreal,X9))))<=>?[X11]:s(t_h4s_hreals_hreal,X9)=s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X10),s(t_h4s_hreals_hreal,X11)))),file('i/f/realax/HREAL__LT__LADD', ah4s_hreals_HREALu_u_LT)).
fof(10, axiom,~(p(s(t_bool,f))),file('i/f/realax/HREAL__LT__LADD', aHLu_FALSITY)).
fof(11, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/realax/HREAL__LT__LADD', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
