# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_integers_tintu_u_add(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X3),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_integers_tintu_u_add(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X2),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X1)))))=s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_integers_tintu_u_add(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_integers_tintu_u_add(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X3),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X2))),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X1))),file('i/f/integer/TINT__ADD__ASSOC', ch4s_integers_TINTu_u_ADDu_u_ASSOC)).
fof(6, axiom,![X5]:![X6]:![X2]:![X3]:![X7]:![X8]:(s(t_h4s_pairs_prod(X5,X6),h4s_pairs_u_2c(s(X5,X3),s(X6,X2)))=s(t_h4s_pairs_prod(X5,X6),h4s_pairs_u_2c(s(X5,X8),s(X6,X7)))<=>(s(X5,X3)=s(X5,X8)&s(X6,X2)=s(X6,X7))),file('i/f/integer/TINT__ADD__ASSOC', ah4s_pairs_PAIRu_u_EQ)).
fof(7, axiom,![X9]:![X10]:![X11]:![X12]:s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_integers_tintu_u_add(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X10))),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X9)))))=s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X11))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X9))))),file('i/f/integer/TINT__ADD__ASSOC', ah4s_integers_tintu_u_add0)).
fof(8, axiom,![X5]:![X6]:![X3]:s(t_h4s_pairs_prod(X5,X6),h4s_pairs_u_2c(s(X5,h4s_pairs_fst(s(t_h4s_pairs_prod(X5,X6),X3))),s(X6,h4s_pairs_snd(s(t_h4s_pairs_prod(X5,X6),X3)))))=s(t_h4s_pairs_prod(X5,X6),X3),file('i/f/integer/TINT__ADD__ASSOC', ah4s_pairs_PAIR)).
fof(9, axiom,![X13]:![X14]:![X15]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14))),s(t_h4s_nums_num,X13))),file('i/f/integer/TINT__ADD__ASSOC', ah4s_arithmetics_ADDu_u_ASSOC)).
# SZS output end CNFRefutation
