# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/real/REAL__LT', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/real/REAL__LT', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/real/REAL__LT', aHLu_BOOLu_CASES)).
fof(11, axiom,![X10]:![X11]: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,X11))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X10)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10))),file('i/f/real/REAL__LT', ah4s_reals_REALu_u_LE)).
fof(13, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/real/REAL__LT', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(33, axiom,![X12]:![X6]:(~(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X12)))))<=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X12),s(t_h4s_realaxs_real,X6))))),file('i/f/real/REAL__LT', ah4s_reals_REALu_u_NOTu_u_LE)).
fof(38, axiom,![X12]:![X6]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X12))))<=>~(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X12),s(t_h4s_realaxs_real,X6)))))),file('i/f/real/REAL__LT', ah4s_reals_realu_u_lte0)).
fof(47, axiom,![X1]:(s(t_bool,X1)=s(t_bool,f)<=>~(p(s(t_bool,X1)))),file('i/f/real/REAL__LT', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(49, axiom,![X10]:![X11]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X11))))),file('i/f/real/REAL__LT', ah4s_arithmetics_NOTu_u_LESS)).
fof(81, axiom,![X12]:![X6]:s(t_bool,h4s_reals_realu_u_gt(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X12)))=s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X12),s(t_h4s_realaxs_real,X6))),file('i/f/real/REAL__LT', ah4s_reals_realu_u_gt0)).
fof(133, conjecture,![X10]:![X11]: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,X11))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X10)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10))),file('i/f/real/REAL__LT', ch4s_reals_REALu_u_LT)).
# SZS output end CNFRefutation
