# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,f),file('i/f/numRing/num__rewrites_c20', ch4s_numRings_numu_u_rewritesu_c20)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/numRing/num__rewrites_c20', aHLu_FALSITY)).
fof(8, axiom,![X4]:(s(t_bool,X4)=s(t_bool,f)<=>~(p(s(t_bool,X4)))),file('i/f/numRing/num__rewrites_c20', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(34, axiom,(p(s(t_bool,f))<=>![X4]:p(s(t_bool,X4))),file('i/f/numRing/num__rewrites_c20', ah4s_bools_Fu_u_DEF)).
fof(36, axiom,![X1]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,f),file('i/f/numRing/num__rewrites_c20', ah4s_numerals_numeralu_u_distribu_c20)).
fof(74, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numRing/num__rewrites_c20', ah4s_arithmetics_ALTu_u_ZERO)).
# SZS output end CNFRefutation
