# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((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,X2))))&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)))))=>s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X2))),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,X1),s(t_h4s_realaxs_real,X2)))),file('i/f/real/REAL__INV__LT__ANTIMONO', ch4s_reals_REALu_u_INVu_u_LTu_u_ANTIMONO)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/real/REAL__INV__LT__ANTIMONO', aHLu_FALSITY)).
fof(3, 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/real/REAL__INV__LT__ANTIMONO', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(22, axiom,![X2]:(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,X2))))=>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,X2))))))),file('i/f/real/REAL__INV__LT__ANTIMONO', ah4s_reals_REALu_u_INVu_u_POS)).
fof(23, axiom,![X1]:![X2]:((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,X2))))&p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X1))),s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X2))))))),file('i/f/real/REAL__INV__LT__ANTIMONO', ah4s_reals_REALu_u_LTu_u_INV)).
fof(24, axiom,![X2]:s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X2)))))=s(t_h4s_realaxs_real,X2),file('i/f/real/REAL__INV__LT__ANTIMONO', ah4s_reals_REALu_u_INVu_u_INV)).
fof(25, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/real/REAL__INV__LT__ANTIMONO', aHLu_BOOLu_CASES)).
fof(26, axiom,p(s(t_bool,t)),file('i/f/real/REAL__INV__LT__ANTIMONO', aHLu_TRUTH)).
fof(28, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/real/REAL__INV__LT__ANTIMONO', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
