# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/rat/RAT__SGN__CLAUSES_c1', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/rat/RAT__SGN__CLAUSES_c1', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/rat/RAT__SGN__CLAUSES_c1', aHLu_BOOLu_CASES)).
fof(5, axiom,![X7]:s(t_h4s_integers_int,h4s_rats_ratu_u_sgn(s(t_h4s_rats_rat,X7)))=s(t_h4s_integers_int,h4s_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,h4s_rats_repu_u_rat(s(t_h4s_rats_rat,X7))))),file('i/f/rat/RAT__SGN__CLAUSES_c1', ah4s_rats_ratu_u_sgnu_u_def)).
fof(10, axiom,![X11]:s(t_h4s_integers_int,h4s_rats_ratu_u_sgn(s(t_h4s_rats_rat,h4s_rats_absu_u_rat(s(t_h4s_fracs_frac,X11)))))=s(t_h4s_integers_int,h4s_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,X11))),file('i/f/rat/RAT__SGN__CLAUSES_c1', ah4s_rats_RATu_u_SGNu_u_CALCULATE)).
fof(13, axiom,![X8]:(s(t_h4s_rats_rat,X8)=s(t_h4s_rats_rat,h4s_rats_ratu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))<=>s(t_h4s_integers_int,h4s_rats_ratu_u_nmr(s(t_h4s_rats_rat,X8)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/rat/RAT__SGN__CLAUSES_c1', ah4s_rats_RATu_u_EQ0u_u_NMR)).
fof(53, axiom,![X1]:(s(t_bool,X1)=s(t_bool,f)<=>~(p(s(t_bool,X1)))),file('i/f/rat/RAT__SGN__CLAUSES_c1', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(61, axiom,![X11]:s(t_h4s_integers_int,h4s_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,X11)))=s(t_h4s_integers_int,h4s_intextensions_sgn(s(t_h4s_integers_int,h4s_fracs_fracu_u_nmr(s(t_h4s_fracs_frac,X11))))),file('i/f/rat/RAT__SGN__CLAUSES_c1', ah4s_fracs_fracu_u_sgnu_u_def)).
fof(66, axiom,![X7]:s(t_h4s_integers_int,h4s_rats_ratu_u_nmr(s(t_h4s_rats_rat,X7)))=s(t_h4s_integers_int,h4s_fracs_fracu_u_nmr(s(t_h4s_fracs_frac,h4s_rats_repu_u_rat(s(t_h4s_rats_rat,X7))))),file('i/f/rat/RAT__SGN__CLAUSES_c1', ah4s_rats_ratu_u_nmru_u_def)).
fof(76, axiom,![X6]:(s(t_h4s_integers_int,h4s_intextensions_sgn(s(t_h4s_integers_int,X6)))=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,X6)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/rat/RAT__SGN__CLAUSES_c1', ah4s_intExtensions_INTu_u_SGNu_u_CLAUSESu_c1)).
fof(79, axiom,s(t_h4s_rats_rat,h4s_rats_ratu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_rats_rat,h4s_rats_absu_u_rat(s(t_h4s_fracs_frac,h4s_fracs_fracu_u_0))),file('i/f/rat/RAT__SGN__CLAUSES_c1', ah4s_rats_ratu_u_00)).
fof(91, axiom,![X6]:?[X29]:((p(s(t_bool,X29))<=>s(t_h4s_integers_int,X6)=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_intextensions_sgn(s(t_h4s_integers_int,X6)))=s(t_h4s_integers_int,h4s_bools_cond(s(t_bool,X29),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_bools_cond(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),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,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))))),file('i/f/rat/RAT__SGN__CLAUSES_c1', ah4s_intExtensions_SGNu_u_def)).
fof(133, conjecture,![X8]:(s(t_h4s_integers_int,h4s_rats_ratu_u_sgn(s(t_h4s_rats_rat,X8)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))<=>s(t_h4s_rats_rat,X8)=s(t_h4s_rats_rat,h4s_rats_ratu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/rat/RAT__SGN__CLAUSES_c1', ch4s_rats_RATu_u_SGNu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
