# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X1),s(t_h4s_hrats_hrat,X3))),s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X1),s(t_h4s_hrats_hrat,X2)))))=s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X3),s(t_h4s_hrats_hrat,X2))),file('i/f/hreal/HRAT__LT__LMUL', ch4s_hreals_HRATu_u_LTu_u_LMUL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/hreal/HRAT__LT__LMUL', 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/hreal/HRAT__LT__LMUL', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(7, axiom,![X8]:![X9]:![X10]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X10),s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X9),s(t_h4s_hrats_hrat,X8)))))=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X10),s(t_h4s_hrats_hrat,X9))),s(t_h4s_hrats_hrat,X8))),file('i/f/hreal/HRAT__LT__LMUL', ah4s_hrats_HRATu_u_MULu_u_ASSOC)).
fof(9, axiom,![X2]:![X3]:(p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X3),s(t_h4s_hrats_hrat,X2))))<=>?[X11]:s(t_h4s_hrats_hrat,X2)=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X3),s(t_h4s_hrats_hrat,X11)))),file('i/f/hreal/HRAT__LT__LMUL', ah4s_hreals_hratu_u_lt0)).
fof(10, axiom,![X8]:![X9]:![X10]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X10),s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X9),s(t_h4s_hrats_hrat,X8)))))=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X10),s(t_h4s_hrats_hrat,X9))),s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X10),s(t_h4s_hrats_hrat,X8))))),file('i/f/hreal/HRAT__LT__LMUL', ah4s_hrats_HRATu_u_LDISTRIB)).
fof(11, axiom,![X10]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_1),s(t_h4s_hrats_hrat,X10)))=s(t_h4s_hrats_hrat,X10),file('i/f/hreal/HRAT__LT__LMUL', ah4s_hrats_HRATu_u_MULu_u_LID)).
fof(12, axiom,~(p(s(t_bool,f))),file('i/f/hreal/HRAT__LT__LMUL', aHLu_FALSITY)).
fof(13, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/hreal/HRAT__LT__LMUL', aHLu_BOOLu_CASES)).
fof(14, axiom,![X10]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_inv(s(t_h4s_hrats_hrat,X10))),s(t_h4s_hrats_hrat,X10)))=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_1),file('i/f/hreal/HRAT__LT__LMUL', ah4s_hrats_HRATu_u_MULu_u_LINV)).
# SZS output end CNFRefutation
