# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1))),file('i/f/integer/LT__ADDL', ch4s_integers_LTu_u_ADDL)).
fof(2, axiom,![X3]:![X4]:(~(s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,h4s_nums_0))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3))))))),file('i/f/integer/LT__ADDL', ah4s_arithmetics_LESSu_u_ADDu_u_NONZERO)).
fof(7, axiom,![X4]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X4),file('i/f/integer/LT__ADDL', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(12, axiom,![X3]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X3))))),file('i/f/integer/LT__ADDL', ah4s_primu_u_recs_LESSu_u_REFL)).
fof(40, axiom,![X3]:(~(s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,h4s_nums_0))<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X3))))),file('i/f/integer/LT__ADDL', ah4s_arithmetics_NOTu_u_ZEROu_u_LTu_u_ZERO)).
fof(69, axiom,~(p(s(t_bool,f))),file('i/f/integer/LT__ADDL', aHLu_FALSITY)).
fof(74, axiom,![X8]:(s(t_bool,t)=s(t_bool,X8)<=>p(s(t_bool,X8))),file('i/f/integer/LT__ADDL', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(75, axiom,![X8]:(s(t_bool,f)=s(t_bool,X8)<=>~(p(s(t_bool,X8)))),file('i/f/integer/LT__ADDL', ah4s_bools_EQu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
