# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(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)=>p(s(t_bool,h4s_integers_tintu_u_eq(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__EQ__AP', ch4s_integers_TINTu_u_EQu_u_AP)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/integer/TINT__EQ__AP', aHLu_FALSITY)).
fof(9, axiom,![X4]:((p(s(t_bool,X4))=>p(s(t_bool,f)))<=>s(t_bool,X4)=s(t_bool,f)),file('i/f/integer/TINT__EQ__AP', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(23, axiom,![X15]:![X16]:![X17]:![X18]:(p(s(t_bool,h4s_integers_tintu_u_eq(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X16))),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X15))))))<=>s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X15)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X16)))),file('i/f/integer/TINT__EQ__AP', ah4s_integers_tintu_u_eq0)).
fof(25, axiom,![X3]:![X19]:![X5]:s(t_h4s_pairs_prod(X3,X19),h4s_pairs_u_2c(s(X3,h4s_pairs_fst(s(t_h4s_pairs_prod(X3,X19),X5))),s(X19,h4s_pairs_snd(s(t_h4s_pairs_prod(X3,X19),X5)))))=s(t_h4s_pairs_prod(X3,X19),X5),file('i/f/integer/TINT__EQ__AP', ah4s_pairs_PAIR)).
# SZS output end CNFRefutation
