# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(~(p(s(t_bool,h4s_integers_intu_u_lt(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_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_integers_int,X1)|p(s(t_bool,h4s_integers_intu_u_lt(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,X1)))))),file('i/f/intExtension/INT__NOTGT__IMP__EQLT', ch4s_intExtensions_INTu_u_NOTGTu_u_IMPu_u_EQLT)).
fof(55, axiom,![X17]:![X13]:(~(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X13),s(t_h4s_integers_int,X17)))))<=>p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X17),s(t_h4s_integers_int,X13))))),file('i/f/intExtension/INT__NOTGT__IMP__EQLT', ah4s_integers_INTu_u_NOTu_u_LE)).
fof(56, axiom,![X17]:![X13]:(s(t_h4s_integers_int,X13)=s(t_h4s_integers_int,X17)|(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X13),s(t_h4s_integers_int,X17))))|p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X17),s(t_h4s_integers_int,X13)))))),file('i/f/intExtension/INT__NOTGT__IMP__EQLT', ah4s_integers_INTu_u_LTu_u_TOTAL)).
fof(58, axiom,![X17]:![X13]:~((p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X13),s(t_h4s_integers_int,X17))))&p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X17),s(t_h4s_integers_int,X13)))))),file('i/f/intExtension/INT__NOTGT__IMP__EQLT', ah4s_integers_INTu_u_LTu_u_ANTISYM)).
fof(68, axiom,![X13]:p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X13),s(t_h4s_integers_int,X13)))),file('i/f/intExtension/INT__NOTGT__IMP__EQLT', ah4s_integers_INTu_u_LEu_u_REFL)).
# SZS output end CNFRefutation
