# 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,p(s(t_bool,t)),file('i/f/int_arith/le__context__rwt3', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/int_arith/le__context__rwt3', aHLu_FALSITY)).
fof(18, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/int_arith/le__context__rwt3', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(19, 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(38, 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(41, axiom,![X14]:![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,X1))),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X14)))))=s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X14))),file('i/f/int_arith/le__context__rwt3', ah4s_integers_INTu_u_LEu_u_LADD)).
fof(42, axiom,![X2]:~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X2))))),file('i/f/int_arith/le__context__rwt3', ah4s_integers_INTu_u_LTu_u_REFL)).
fof(43, axiom,![X14]:![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,X14)))))=>p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X14))))),file('i/f/int_arith/le__context__rwt3', ah4s_integers_INTu_u_LETu_u_TRANS)).
# SZS output end CNFRefutation
