# 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,h4s_integers_intu_u_neg(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,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X3))),s(t_h4s_integers_int,X1)))<=>p(s(t_bool,f))))),file('i/f/int_arith/le__context__rwt4', ch4s_intu_u_ariths_leu_u_contextu_u_rwt4)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/int_arith/le__context__rwt4', aHLu_FALSITY)).
fof(8, axiom,![X6]:(s(t_bool,X6)=s(t_bool,f)<=>~(p(s(t_bool,X6)))),file('i/f/int_arith/le__context__rwt4', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(25, axiom,![X1]:![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_neg(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,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X2))),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X1))))),file('i/f/int_arith/le__context__rwt4', ah4s_integers_INTu_u_NEGu_u_ADD)).
fof(26, 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__rwt4', ah4s_integers_INTu_u_LEu_u_LADD)).
fof(27, 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__rwt4', ah4s_integers_INTu_u_LTu_u_REFL)).
fof(28, axiom,![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X2)))))=s(t_h4s_integers_int,X2),file('i/f/int_arith/le__context__rwt4', ah4s_integers_INTu_u_NEGNEG)).
fof(29, 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__rwt4', ah4s_integers_INTu_u_LETu_u_TRANS)).
fof(30, axiom,s(t_h4s_integers_int,h4s_integers_intu_u_neg(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_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/int_arith/le__context__rwt4', ah4s_integers_INTu_u_NEGu_u_0)).
fof(31, axiom,p(s(t_bool,t)),file('i/f/int_arith/le__context__rwt4', aHLu_TRUTH)).
fof(33, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/int_arith/le__context__rwt4', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
