# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))),file('i/f/words/dimindex__lt__dimword', ch4s_wordss_dimindexu_u_ltu_u_dimword)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/words/dimindex__lt__dimword', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/words/dimindex__lt__dimword', aHLu_FALSITY)).
fof(6, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)<=>p(s(t_bool,X2))),file('i/f/words/dimindex__lt__dimword', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(7, axiom,![X3]:![X4]:(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,X4))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3))))))),file('i/f/words/dimindex__lt__dimword', ah4s_arithmetics_Xu_u_LTu_u_EXPu_u_X)).
fof(8, axiom,![X5]:![X6]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X6))))))<=>~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5)))))),file('i/f/words/dimindex__lt__dimword', ah4s_numerals_numeralu_u_ltu_c5)).
fof(9, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/words/dimindex__lt__dimword', aHLu_BOOLu_CASES)).
fof(10, axiom,![X5]:![X6]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X6)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X6))),file('i/f/words/dimindex__lt__dimword', ah4s_numerals_numeralu_u_distribu_c22)).
fof(11, axiom,![X5]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/words/dimindex__lt__dimword', ah4s_numerals_numeralu_u_ltu_c2)).
fof(12, axiom,![X1]:s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))=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,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))),file('i/f/words/dimindex__lt__dimword', ah4s_wordss_dimwordu_u_def)).
# SZS output end CNFRefutation
