# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(s(t_h4s_realaxs_real,X2)=s(t_h4s_realaxs_real,X1)|(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))))|p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2)))))),file('i/f/realax/REAL__LT__TOTAL', ch4s_realaxs_REALu_u_LTu_u_TOTAL)).
fof(3, axiom,![X6]:![X7]:![X8]:![X9]:![X10]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X6,t_fun(X6,t_bool)),X10),s(t_fun(X6,X7),X9),s(t_fun(X7,X6),X8))))=>![X2]:![X1]:(s(X7,X2)=s(X7,X1)<=>p(s(t_bool,happ(s(t_fun(X6,t_bool),happ(s(t_fun(X6,t_fun(X6,t_bool)),X10),s(X6,happ(s(t_fun(X7,X6),X8),s(X7,X2))))),s(X6,happ(s(t_fun(X7,X6),X8),s(X7,X1)))))))),file('i/f/realax/REAL__LT__TOTAL', ah4s_quotients_EQUALSu_u_PRS)).
fof(8, axiom,![X20]:![X21]:s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X21),s(t_h4s_realaxs_real,X20)))=s(t_bool,h4s_realaxs_trealu_u_lt(s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),happ(s(t_fun(t_h4s_realaxs_real,t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal)),h4s_realaxs_realu_u_rep),s(t_h4s_realaxs_real,X21))),s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),happ(s(t_fun(t_h4s_realaxs_real,t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal)),h4s_realaxs_realu_u_rep),s(t_h4s_realaxs_real,X20))))),file('i/f/realax/REAL__LT__TOTAL', ah4s_realaxs_realu_u_lt0)).
fof(9, axiom,p(s(t_bool,h4s_quotients_quotient(s(t_fun(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),t_fun(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),t_bool)),h4s_realaxs_trealu_u_eq),s(t_fun(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),t_h4s_realaxs_real),h4s_realaxs_realu_u_abs),s(t_fun(t_h4s_realaxs_real,t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal)),h4s_realaxs_realu_u_rep)))),file('i/f/realax/REAL__LT__TOTAL', ah4s_realaxs_realu_u_QUOTIENT)).
fof(15, axiom,![X1]:![X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),t_bool),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),t_fun(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),t_bool)),h4s_realaxs_trealu_u_eq),s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),X2))),s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),X1))))|(p(s(t_bool,h4s_realaxs_trealu_u_lt(s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),X2),s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),X1))))|p(s(t_bool,h4s_realaxs_trealu_u_lt(s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),X1),s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),X2)))))),file('i/f/realax/REAL__LT__TOTAL', ah4s_realaxs_TREALu_u_LTu_u_TOTAL)).
# SZS output end CNFRefutation
