# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,~(p(s(t_bool,h4s_realaxs_trealu_u_eq(s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),h4s_realaxs_trealu_u_1),s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),h4s_realaxs_trealu_u_0))))),file('i/f/realax/TREAL__10', ch4s_realaxs_TREALu_u_10)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/realax/TREAL__10', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/realax/TREAL__10', aHLu_FALSITY)).
fof(8, axiom,![X4]:![X5]:![X6]:![X7]:(p(s(t_bool,h4s_realaxs_trealu_u_eq(s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),h4s_pairs_u_2c(s(t_h4s_hreals_hreal,X7),s(t_h4s_hreals_hreal,X5))),s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),h4s_pairs_u_2c(s(t_h4s_hreals_hreal,X6),s(t_h4s_hreals_hreal,X4))))))<=>s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X7),s(t_h4s_hreals_hreal,X4)))=s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X6),s(t_h4s_hreals_hreal,X5)))),file('i/f/realax/TREAL__10', ah4s_realaxs_trealu_u_eq0)).
fof(9, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/realax/TREAL__10', aHLu_BOOLu_CASES)).
fof(10, axiom,![X8]:![X9]:~(s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X9),s(t_h4s_hreals_hreal,X8)))=s(t_h4s_hreals_hreal,X9)),file('i/f/realax/TREAL__10', ah4s_hreals_HREALu_u_NOZERO)).
fof(11, axiom,s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),h4s_realaxs_trealu_u_0)=s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),h4s_pairs_u_2c(s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_1),s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_1))),file('i/f/realax/TREAL__10', ah4s_realaxs_trealu_u_00)).
fof(12, axiom,s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),h4s_realaxs_trealu_u_1)=s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),h4s_pairs_u_2c(s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_1),s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_1))),s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_1))),file('i/f/realax/TREAL__10', ah4s_realaxs_trealu_u_10)).
# SZS output end CNFRefutation
