# 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_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,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)))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))))),file('i/f/arithmetic/ONE__LT__MULT__IMP', ch4s_arithmetics_ONEu_u_LTu_u_MULTu_u_IMP)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/ONE__LT__MULT__IMP', aHLu_FALSITY)).
fof(22, axiom,![X15]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X15))))),file('i/f/arithmetic/ONE__LT__MULT__IMP', ah4s_primu_u_recs_LESSu_u_REFL)).
fof(24, axiom,![X15]:![X16]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X16))))=>![X2]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X2))))))),file('i/f/arithmetic/ONE__LT__MULT__IMP', ah4s_arithmetics_LESSu_u_IMPu_u_LESSu_u_ADD)).
fof(28, axiom,![X15]:![X16]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X15))))),file('i/f/arithmetic/ONE__LT__MULT__IMP', ah4s_arithmetics_MULTu_u_CLAUSESu_c5)).
fof(32, axiom,![X16]:(s(t_h4s_nums_num,X16)=s(t_h4s_nums_num,h4s_nums_0)|?[X15]:s(t_h4s_nums_num,X16)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15)))),file('i/f/arithmetic/ONE__LT__MULT__IMP', ah4s_arithmetics_numu_u_CASES)).
fof(33, axiom,s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/arithmetic/ONE__LT__MULT__IMP', ah4s_arithmetics_ONE)).
fof(34, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/arithmetic/ONE__LT__MULT__IMP', aHLu_BOOLu_CASES)).
fof(35, axiom,p(s(t_bool,t)),file('i/f/arithmetic/ONE__LT__MULT__IMP', aHLu_TRUTH)).
fof(38, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/arithmetic/ONE__LT__MULT__IMP', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
