# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1))))=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_pairs_snd(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_arithmetics_divmod(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_pairs_u_2c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))))))),file('i/f/arithmetic/DIVMOD__CALC_c1', ch4s_arithmetics_DIVMODu_u_CALCu_c1)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/DIVMOD__CALC_c1', aHLu_TRUTH)).
fof(7, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/arithmetic/DIVMOD__CALC_c1', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(10, axiom,![X4]:![X12]:![X6]:![X5]:s(X12,h4s_pairs_snd(s(t_h4s_pairs_prod(X4,X12),h4s_pairs_u_2c(s(X4,X5),s(X12,X6)))))=s(X12,X6),file('i/f/arithmetic/DIVMOD__CALC_c1', ah4s_pairs_SND0)).
fof(11, axiom,![X1]:![X2]:![X13]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1))))=>s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_arithmetics_divmod(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_pairs_u_2c(s(t_h4s_nums_num,X13),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))))=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,X13),s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))),s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))),file('i/f/arithmetic/DIVMOD__CALC_c1', ah4s_arithmetics_DIVMODu_u_CORRECT)).
# SZS output end CNFRefutation
