# 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,X1),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X2))))))=>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,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X3))),s(t_h4s_integers_int,X1)))))=s(t_bool,f))),file('i/f/int_arith/le__context__rwt2', ch4s_intu_u_ariths_leu_u_contextu_u_rwt2)).
fof(6, 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__rwt2', ah4s_integers_INTu_u_ADDu_u_COMM)).
fof(27, axiom,~(p(s(t_bool,f))),file('i/f/int_arith/le__context__rwt2', aHLu_FALSITY)).
fof(28, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/int_arith/le__context__rwt2', aHLu_BOOLu_CASES)).
fof(38, axiom,![X7]:(s(t_bool,f)=s(t_bool,X7)<=>~(p(s(t_bool,X7)))),file('i/f/int_arith/le__context__rwt2', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(49, axiom,![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_le(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1))))=>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,X1)))))=s(t_bool,t))),file('i/f/int_arith/le__context__rwt2', ah4s_intu_u_ariths_leu_u_contextu_u_rwt1)).
fof(52, 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__rwt2', ah4s_integers_INTu_u_NOTu_u_LE)).
fof(59, axiom,![X2]: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,X2)))=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__rwt2', ah4s_integers_INTu_u_ADDu_u_LINV)).
fof(60, axiom,![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_add(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,X2)))=s(t_h4s_integers_int,X2),file('i/f/int_arith/le__context__rwt2', ah4s_integers_INTu_u_ADDu_u_LID)).
fof(64, axiom,![X14]:![X1]:![X2]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_add(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,X14)))=s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X14),s(t_h4s_integers_int,X1))))),file('i/f/int_arith/le__context__rwt2', ah4s_integers_INTu_u_LTu_u_ADDNEG2)).
fof(69, axiom,![X14]:![X1]:![X2]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X14))),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X14)))))=s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1))),file('i/f/int_arith/le__context__rwt2', ah4s_integers_INTu_u_LTu_u_RADD)).
fof(79, axiom,p(s(t_bool,t)),file('i/f/int_arith/le__context__rwt2', aHLu_TRUTH)).
# SZS output end CNFRefutation
