# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_bool,h4s_reals_realu_u_lte(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,X1))))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X2)))))=s(t_bool,t),file('i/f/real/le__int_c1', ch4s_reals_leu_u_intu_c1)).
fof(4, axiom,p(s(t_bool,t)),file('i/f/real/le__int_c1', aHLu_TRUTH)).
fof(5, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/real/le__int_c1', aHLu_BOOLu_CASES)).
fof(8, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/real/le__int_c1', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(26, axiom,![X7]:![X8]:((p(s(t_bool,X8))=>p(s(t_bool,X7)))=>((p(s(t_bool,X7))=>p(s(t_bool,X8)))=>s(t_bool,X8)=s(t_bool,X7))),file('i/f/real/le__int_c1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(41, axiom,![X5]: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,h4s_nums_0))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X5)))))=s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/real/le__int_c1', ah4s_reals_REALu_u_NEGu_u_GE0)).
fof(42, axiom,![X4]:![X5]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X4))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X5)))))<=>s(t_h4s_realaxs_real,X5)=s(t_h4s_realaxs_real,X4)),file('i/f/real/le__int_c1', ah4s_reals_REALu_u_LEu_u_ANTISYM)).
fof(45, axiom,![X1]:p(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,h4s_nums_0))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X1)))))),file('i/f/real/le__int_c1', ah4s_reals_REALu_u_POS)).
fof(49, axiom,![X18]:![X4]:![X5]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X4))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X18)))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X18))))),file('i/f/real/le__int_c1', ah4s_reals_REALu_u_LEu_u_TRANS)).
fof(56, axiom,![X5]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X5)))))=s(t_h4s_realaxs_real,X5),file('i/f/real/le__int_c1', ah4s_reals_REALu_u_NEGNEG)).
fof(60, axiom,~(p(s(t_bool,f))),file('i/f/real/le__int_c1', aHLu_FALSITY)).
# SZS output end CNFRefutation
