# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]: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,X2))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),file('i/f/float/REAL__OF__NUM__LT0', ch4s_floats_REALu_u_OFu_u_NUMu_u_LT0)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/float/REAL__OF__NUM__LT0', aHLu_FALSITY)).
fof(9, axiom,![X4]:((p(s(t_bool,X4))=>p(s(t_bool,f)))<=>s(t_bool,X4)=s(t_bool,f)),file('i/f/float/REAL__OF__NUM__LT0', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(11, axiom,![X10]:![X11]:(s(t_bool,X11)=s(t_bool,X10)<=>((p(s(t_bool,X11))&p(s(t_bool,X10)))|(~(p(s(t_bool,X11)))&~(p(s(t_bool,X10)))))),file('i/f/float/REAL__OF__NUM__LT0', ah4s_bools_EQu_u_EXPAND)).
fof(23, axiom,![X1]:![X2]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))))),file('i/f/float/REAL__OF__NUM__LT0', ah4s_arithmetics_NOTu_u_LESS)).
fof(32, axiom,![X15]:![X5]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X15))))<=>~(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X15),s(t_h4s_realaxs_real,X5)))))),file('i/f/float/REAL__OF__NUM__LT0', ah4s_reals_realu_u_lt)).
fof(33, axiom,![X1]:![X2]:s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X2))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),file('i/f/float/REAL__OF__NUM__LT0', ah4s_reals_REALu_u_OFu_u_NUMu_u_LE)).
fof(34, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/float/REAL__OF__NUM__LT0', aHLu_BOOLu_CASES)).
fof(37, axiom,p(s(t_bool,t)),file('i/f/float/REAL__OF__NUM__LT0', aHLu_TRUTH)).
fof(39, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/float/REAL__OF__NUM__LT0', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
