# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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_abs(s(t_h4s_integers_int,X1))))))),file('i/f/intExtension/INT__ABS__NOT0POS', ch4s_intExtensions_INTu_u_ABSu_u_NOT0POS)).
fof(19, axiom,![X14]:![X15]:(p(s(t_bool,h4s_integers_intu_u_lt(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,X14))))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X15))))))<=>(~(s(t_h4s_nums_num,X14)=s(t_h4s_nums_num,h4s_nums_0))|~(s(t_h4s_nums_num,X15)=s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/intExtension/INT__ABS__NOT0POS', ah4s_integers_INTu_u_LTu_u_CALCULATEu_c2)).
fof(20, axiom,![X1]: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)))))=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))))),file('i/f/intExtension/INT__ABS__NOT0POS', ah4s_integers_INTu_u_NEGu_u_GT0)).
fof(22, axiom,![X7]:![X8]:(s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X8)))=s(t_h4s_integers_int,X7)<=>((s(t_h4s_integers_int,X8)=s(t_h4s_integers_int,X7)&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,X7)))))|(s(t_h4s_integers_int,X8)=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X7)))&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,X7))))))),file('i/f/intExtension/INT__ABS__NOT0POS', ah4s_integers_INTu_u_ABSu_u_EQu_c0)).
fof(24, axiom,![X8]:s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X8)))))=s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X8))),file('i/f/intExtension/INT__ABS__NOT0POS', ah4s_integers_INTu_u_ABSu_u_NEG)).
fof(26, axiom,~(p(s(t_bool,f))),file('i/f/intExtension/INT__ABS__NOT0POS', aHLu_FALSITY)).
fof(32, axiom,![X4]:((p(s(t_bool,X4))=>p(s(t_bool,f)))<=>s(t_bool,X4)=s(t_bool,f)),file('i/f/intExtension/INT__ABS__NOT0POS', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(42, axiom,![X8]:(?[X14]:(s(t_h4s_integers_int,X8)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X14)))&~(s(t_h4s_nums_num,X14)=s(t_h4s_nums_num,h4s_nums_0)))|(?[X14]:(s(t_h4s_integers_int,X8)=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,X14)))))&~(s(t_h4s_nums_num,X14)=s(t_h4s_nums_num,h4s_nums_0)))|s(t_h4s_integers_int,X8)=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__ABS__NOT0POS', ah4s_integers_INTu_u_NUMu_u_CASES)).
fof(43, 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__ABS__NOT0POS', ah4s_integers_INTu_u_NEGu_u_0)).
fof(65, axiom,![X14]:![X15]:(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_nums_0)<=>(s(t_h4s_nums_num,X15)=s(t_h4s_nums_num,h4s_nums_0)&s(t_h4s_nums_num,X14)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/intExtension/INT__ABS__NOT0POS', ah4s_arithmetics_ADDu_u_EQu_u_0)).
# SZS output end CNFRefutation
