# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X1))))))),file('i/f/bit/TWOEXP__MONO2', ch4s_bits_TWOEXPu_u_MONO2)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bit/TWOEXP__MONO2', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/bit/TWOEXP__MONO2', aHLu_FALSITY)).
fof(7, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/bit/TWOEXP__MONO2', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(10, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/bit/TWOEXP__MONO2', aHLu_BOOLu_CASES)).
fof(12, axiom,![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,X1))))=>![X12]:![X13]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X13))),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X12)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12)))),file('i/f/bit/TWOEXP__MONO2', ah4s_arithmetics_EXPu_u_BASEu_u_LEu_u_MONO)).
fof(13, axiom,![X12]:![X13]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X13)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X13))),file('i/f/bit/TWOEXP__MONO2', ah4s_numerals_numeralu_u_distribu_c22)).
fof(14, axiom,![X12]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/bit/TWOEXP__MONO2', ah4s_numerals_numeralu_u_ltu_c2)).
fof(15, axiom,![X12]:![X13]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X13))))))<=>~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12)))))),file('i/f/bit/TWOEXP__MONO2', ah4s_numerals_numeralu_u_ltu_c5)).
# SZS output end CNFRefutation
