# 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(2, axiom,p(s(t_bool,t)),file('i/f/intExtension/INT__NOTGT__IMP__EQLT', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/intExtension/INT__NOTGT__IMP__EQLT', aHLu_FALSITY)).
fof(35, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/intExtension/INT__NOTGT__IMP__EQLT', aHLu_BOOLu_CASES)).
fof(37, axiom,![X13]:![X6]:(s(t_h4s_integers_int,X6)=s(t_h4s_integers_int,X13)|(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X13))))|p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X13),s(t_h4s_integers_int,X6)))))),file('i/f/intExtension/INT__NOTGT__IMP__EQLT', ah4s_integers_INTu_u_LTu_u_TOTAL)).
fof(38, axiom,![X13]:![X6]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X13))))=>~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X13),s(t_h4s_integers_int,X6)))))),file('i/f/intExtension/INT__NOTGT__IMP__EQLT', ah4s_integers_INTu_u_LTu_u_GT)).
fof(39, axiom,![X13]:![X6]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X13))))=>~(s(t_h4s_integers_int,X6)=s(t_h4s_integers_int,X13))),file('i/f/intExtension/INT__NOTGT__IMP__EQLT', ah4s_integers_INTu_u_LTu_u_IMPu_u_NE)).
# SZS output end CNFRefutation
