# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:?[X3]:((p(s(t_bool,X3))<=>s(t_h4s_realaxs_real,X1)=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))&s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X1)))))=s(t_h4s_realaxs_real,h4s_bools_cond(s(t_bool,X3),s(t_h4s_realaxs_real,h4s_markers_unint(s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))))),s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,X1)))))),file('i/f/real/neg__rat_c1', ch4s_reals_negu_u_ratu_c1)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/real/neg__rat_c1', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/real/neg__rat_c1', aHLu_FALSITY)).
fof(14, axiom,![X7]:![X5]:![X6]:s(X7,h4s_bools_cond(s(t_bool,t),s(X7,X6),s(X7,X5)))=s(X7,X6),file('i/f/real/neg__rat_c1', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(15, axiom,![X7]:![X5]:![X6]:s(X7,h4s_bools_cond(s(t_bool,f),s(X7,X6),s(X7,X5)))=s(X7,X5),file('i/f/real/neg__rat_c1', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(17, axiom,![X1]:![X2]:s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X1))))),file('i/f/real/neg__rat_c1', ah4s_reals_realu_u_div)).
fof(18, axiom,s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/real/neg__rat_c1', ah4s_reals_REALu_u_NEGu_u_0)).
fof(19, axiom,![X2]:(~(s(t_h4s_realaxs_real,X2)=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))=>s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X2)))))=s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X2)))))),file('i/f/real/neg__rat_c1', ah4s_reals_REALu_u_NEGu_u_INV)).
fof(20, axiom,![X1]:![X2]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X1)))))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))))),file('i/f/real/neg__rat_c1', ah4s_reals_REALu_u_MULu_u_RNEG)).
fof(21, axiom,![X1]:![X2]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))))),file('i/f/real/neg__rat_c1', ah4s_reals_REALu_u_MULu_u_LNEG)).
fof(22, axiom,![X7]:![X2]:s(X7,h4s_markers_unint(s(X7,X2)))=s(X7,X2),file('i/f/real/neg__rat_c1', ah4s_markers_unintu_u_def)).
# SZS output end CNFRefutation
