# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X1)))))=s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,X1))),file('i/f/real/REAL__LT__INV__EQ', ch4s_reals_REALu_u_LTu_u_INVu_u_EQ)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/real/REAL__LT__INV__EQ', aHLu_TRUTH)).
fof(4, axiom,![X2]:![X3]:((p(s(t_bool,X3))=>p(s(t_bool,X2)))=>((p(s(t_bool,X2))=>p(s(t_bool,X3)))=>s(t_bool,X3)=s(t_bool,X2))),file('i/f/real/REAL__LT__INV__EQ', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(6, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/real/REAL__LT__INV__EQ', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(7, axiom,![X1]:s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X1)))))=s(t_h4s_realaxs_real,X1),file('i/f/real/REAL__LT__INV__EQ', ah4s_reals_REALu_u_INVu_u_INV)).
fof(8, axiom,![X1]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,X1))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X1))))))),file('i/f/real/REAL__LT__INV__EQ', ah4s_reals_REALu_u_INVu_u_POS)).
fof(9, axiom,~(p(s(t_bool,f))),file('i/f/real/REAL__LT__INV__EQ', aHLu_FALSITY)).
fof(10, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/real/REAL__LT__INV__EQ', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
