# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(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,X2))))=>(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_fracs_frac,h4s_fracs_absu_u_frac(s(t_h4s_pairs_prod(t_h4s_integers_int,t_h4s_integers_int),h4s_pairs_u_2c(s(t_h4s_integers_int,X4),s(t_h4s_integers_int,X2)))))=s(t_h4s_fracs_frac,h4s_fracs_absu_u_frac(s(t_h4s_pairs_prod(t_h4s_integers_int,t_h4s_integers_int),h4s_pairs_u_2c(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X1))))))<=>(~(s(t_h4s_integers_int,X4)=s(t_h4s_integers_int,X3))|~(s(t_h4s_integers_int,X2)=s(t_h4s_integers_int,X1)))))),file('i/f/frac/FRAC__NOT__EQ0', ch4s_fracs_FRACu_u_NOTu_u_EQ0)).
fof(19, axiom,![X1]:![X2]:![X3]:![X4]:(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,X2))))=>(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_fracs_frac,h4s_fracs_absu_u_frac(s(t_h4s_pairs_prod(t_h4s_integers_int,t_h4s_integers_int),h4s_pairs_u_2c(s(t_h4s_integers_int,X4),s(t_h4s_integers_int,X2)))))=s(t_h4s_fracs_frac,h4s_fracs_absu_u_frac(s(t_h4s_pairs_prod(t_h4s_integers_int,t_h4s_integers_int),h4s_pairs_u_2c(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X1)))))<=>(s(t_h4s_integers_int,X4)=s(t_h4s_integers_int,X3)&s(t_h4s_integers_int,X2)=s(t_h4s_integers_int,X1))))),file('i/f/frac/FRAC__NOT__EQ0', ah4s_fracs_FRACu_u_EQ)).
fof(28, axiom,![X16]:(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_pairs_snd(s(t_h4s_pairs_prod(t_h4s_integers_int,t_h4s_integers_int),X16))))))<=>s(t_h4s_pairs_prod(t_h4s_integers_int,t_h4s_integers_int),h4s_fracs_repu_u_frac(s(t_h4s_fracs_frac,h4s_fracs_absu_u_frac(s(t_h4s_pairs_prod(t_h4s_integers_int,t_h4s_integers_int),X16)))))=s(t_h4s_pairs_prod(t_h4s_integers_int,t_h4s_integers_int),X16)),file('i/f/frac/FRAC__NOT__EQ0', ah4s_fracs_fracu_u_biju_c1)).
fof(33, axiom,![X5]:![X24]:![X6]:![X7]:s(X24,h4s_pairs_snd(s(t_h4s_pairs_prod(X5,X24),h4s_pairs_u_2c(s(X5,X7),s(X24,X6)))))=s(X24,X6),file('i/f/frac/FRAC__NOT__EQ0', ah4s_pairs_SND0)).
fof(34, axiom,![X5]:![X24]:![X6]:![X7]:![X25]:![X22]:(s(t_h4s_pairs_prod(X5,X24),h4s_pairs_u_2c(s(X5,X7),s(X24,X6)))=s(t_h4s_pairs_prod(X5,X24),h4s_pairs_u_2c(s(X5,X22),s(X24,X25)))<=>(s(X5,X7)=s(X5,X22)&s(X24,X6)=s(X24,X25))),file('i/f/frac/FRAC__NOT__EQ0', ah4s_pairs_CLOSEDu_u_PAIRu_u_EQ)).
fof(37, axiom,~(p(s(t_bool,f))),file('i/f/frac/FRAC__NOT__EQ0', aHLu_FALSITY)).
fof(79, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)|s(t_bool,X10)=s(t_bool,f)),file('i/f/frac/FRAC__NOT__EQ0', aHLu_BOOLu_CASES)).
fof(80, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/frac/FRAC__NOT__EQ0', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
