# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))=>s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X1))),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,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2)))))),file('i/f/float/REAL__OF__NUM__SUB', ch4s_floats_REALu_u_OFu_u_NUMu_u_SUB)).
fof(5, axiom,![X1]:![X2]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X1))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X2)))))))=s(t_h4s_realaxs_real,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))))))),file('i/f/float/REAL__OF__NUM__SUB', ah4s_reals_addu_u_intsu_c2)).
fof(22, axiom,![X4]:![X5]:s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X4)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X4))))),file('i/f/float/REAL__OF__NUM__SUB', ah4s_reals_realu_u_sub0)).
fof(25, axiom,![X12]:![X13]:((p(s(t_bool,X13))=>p(s(t_bool,X12)))=>((p(s(t_bool,X12))=>p(s(t_bool,X13)))=>s(t_bool,X13)=s(t_bool,X12))),file('i/f/float/REAL__OF__NUM__SUB', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(41, axiom,![X7]:![X1]:![X2]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(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,X7)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X7))))),file('i/f/float/REAL__OF__NUM__SUB', ah4s_arithmetics_LESSu_u_EQu_u_TRANS)).
fof(43, axiom,![X2]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X2)))),file('i/f/float/REAL__OF__NUM__SUB', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(45, axiom,![X3]:![X12]:![X13]:s(X3,h4s_bools_cond(s(t_bool,t),s(X3,X13),s(X3,X12)))=s(X3,X13),file('i/f/float/REAL__OF__NUM__SUB', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(46, axiom,![X3]:![X12]:![X13]:s(X3,h4s_bools_cond(s(t_bool,f),s(X3,X13),s(X3,X12)))=s(X3,X12),file('i/f/float/REAL__OF__NUM__SUB', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(50, axiom,![X12]:![X13]:![X9]:(p(s(t_bool,h4s_bools_cond(s(t_bool,X9),s(t_bool,X13),s(t_bool,X12))))<=>((~(p(s(t_bool,X9)))|p(s(t_bool,X13)))&(p(s(t_bool,X9))|p(s(t_bool,X12))))),file('i/f/float/REAL__OF__NUM__SUB', ah4s_bools_CONDu_u_EXPAND)).
fof(59, 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__SUB', ah4s_arithmetics_NOTu_u_LESS)).
fof(60, axiom,![X1]:![X2]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X1))),file('i/f/float/REAL__OF__NUM__SUB', ah4s_arithmetics_LESSu_u_EQ)).
# SZS output end CNFRefutation
