# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(7, axiom,![X7]:![X8]:![X9]:![X6]:![X10]:![X11]:(s(t_h4s_pairs_prod(X7,X8),h4s_pairs_u_2c(s(X7,X6),s(X8,X9)))=s(t_h4s_pairs_prod(X7,X8),h4s_pairs_u_2c(s(X7,X11),s(X8,X10)))<=>(s(X7,X6)=s(X7,X11)&s(X8,X9)=s(X8,X10))),file('i/f/realax/TREAL__MUL__SYM', ah4s_pairs_PAIRu_u_EQ)).
fof(8, axiom,![X7]:![X8]:![X6]:s(t_h4s_pairs_prod(X7,X8),h4s_pairs_u_2c(s(X7,h4s_pairs_fst(s(t_h4s_pairs_prod(X7,X8),X6))),s(X8,h4s_pairs_snd(s(t_h4s_pairs_prod(X7,X8),X6)))))=s(t_h4s_pairs_prod(X7,X8),X6),file('i/f/realax/TREAL__MUL__SYM', ah4s_pairs_PAIR)).
fof(9, axiom,![X12]:![X13]:s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X13),s(t_h4s_hreals_hreal,X12)))=s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X12),s(t_h4s_hreals_hreal,X13))),file('i/f/realax/TREAL__MUL__SYM', ah4s_hreals_HREALu_u_ADDu_u_SYM)).
fof(10, axiom,![X12]:![X13]:s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_mul(s(t_h4s_hreals_hreal,X13),s(t_h4s_hreals_hreal,X12)))=s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_mul(s(t_h4s_hreals_hreal,X12),s(t_h4s_hreals_hreal,X13))),file('i/f/realax/TREAL__MUL__SYM', ah4s_hreals_HREALu_u_MULu_u_SYM)).
fof(11, axiom,![X14]:![X15]:![X16]:![X17]:s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),h4s_realaxs_trealu_u_mul(s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),h4s_pairs_u_2c(s(t_h4s_hreals_hreal,X17),s(t_h4s_hreals_hreal,X15))),s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),h4s_pairs_u_2c(s(t_h4s_hreals_hreal,X16),s(t_h4s_hreals_hreal,X14)))))=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_mul(s(t_h4s_hreals_hreal,X17),s(t_h4s_hreals_hreal,X16))),s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_mul(s(t_h4s_hreals_hreal,X15),s(t_h4s_hreals_hreal,X14))))),s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_mul(s(t_h4s_hreals_hreal,X17),s(t_h4s_hreals_hreal,X14))),s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_mul(s(t_h4s_hreals_hreal,X15),s(t_h4s_hreals_hreal,X16))))))),file('i/f/realax/TREAL__MUL__SYM', ah4s_realaxs_trealu_u_mul0)).
fof(12, conjecture,![X9]:![X6]:s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),h4s_realaxs_trealu_u_mul(s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),X6),s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),X9)))=s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),h4s_realaxs_trealu_u_mul(s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),X9),s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),X6))),file('i/f/realax/TREAL__MUL__SYM', ch4s_realaxs_TREALu_u_MULu_u_SYM)).
# SZS output end CNFRefutation
