# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X2))))))=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1))))=>(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X1)))<=>p(s(t_bool,f))))),file('i/f/int_arith/le__context__rwt3', ch4s_intu_u_ariths_leu_u_contextu_u_rwt3)).
fof(2, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/int_arith/le__context__rwt3', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(30, axiom,~(p(s(t_bool,f))),file('i/f/int_arith/le__context__rwt3', aHLu_FALSITY)).
fof(31, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/int_arith/le__context__rwt3', aHLu_BOOLu_CASES)).
fof(37, axiom,(~(p(s(t_bool,t)))<=>p(s(t_bool,f))),file('i/f/int_arith/le__context__rwt3', ah4s_bools_NOTu_u_CLAUSESu_c1)).
fof(44, axiom,![X6]:(s(t_bool,X6)=s(t_bool,f)<=>~(p(s(t_bool,X6)))),file('i/f/int_arith/le__context__rwt3', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(47, axiom,![X1]:![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X2))),file('i/f/int_arith/le__context__rwt3', ah4s_integers_INTu_u_ADDu_u_COMM)).
fof(50, axiom,![X17]:![X1]:![X2]:s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X17))),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X17)))))=s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1))),file('i/f/int_arith/le__context__rwt3', ah4s_integers_INTu_u_LEu_u_RADD)).
fof(59, axiom,![X1]:![X2]:(~(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1)))))<=>p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X2))))),file('i/f/int_arith/le__context__rwt3', ah4s_integers_INTu_u_NOTu_u_LE)).
# SZS output end CNFRefutation
