# 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,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,X1)))))=>(~(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))))=>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,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X1)))))))),file('i/f/intExtension/INT__NOTPOS0__NEG', ch4s_intExtensions_INTu_u_NOTPOS0u_u_NEG)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/intExtension/INT__NOTPOS0__NEG', aHLu_FALSITY)).
fof(19, axiom,![X11]:![X12]:(s(t_h4s_integers_int,X12)=s(t_h4s_integers_int,X11)|(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X12),s(t_h4s_integers_int,X11))))|p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,X12)))))),file('i/f/intExtension/INT__NOTPOS0__NEG', ah4s_integers_INTu_u_LTu_u_TOTAL)).
fof(20, axiom,![X11]:![X12]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X12))),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X11)))))=s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,X12))),file('i/f/intExtension/INT__NOTPOS0__NEG', ah4s_integers_INTu_u_LTu_u_NEG)).
fof(21, 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/intExtension/INT__NOTPOS0__NEG', ah4s_integers_INTu_u_NEGu_u_0)).
fof(22, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/intExtension/INT__NOTPOS0__NEG', aHLu_BOOLu_CASES)).
fof(23, axiom,p(s(t_bool,t)),file('i/f/intExtension/INT__NOTPOS0__NEG', aHLu_TRUTH)).
fof(25, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/intExtension/INT__NOTPOS0__NEG', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
