# 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,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value)))))=s(t_bool,h4s_primu_u_recs_u_3c(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_wordss_dimword(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value))))),file('i/f/words/dimindex__dimword__lt__iso', ch4s_wordss_dimindexu_u_dimwordu_u_ltu_u_iso)).
fof(9, axiom,![X11]:![X12]:![X13]:((p(s(t_bool,X13))<=>s(t_bool,X12)=s(t_bool,X11))<=>((p(s(t_bool,X13))|(p(s(t_bool,X12))|p(s(t_bool,X11))))&((p(s(t_bool,X13))|(~(p(s(t_bool,X11)))|~(p(s(t_bool,X12)))))&((p(s(t_bool,X12))|(~(p(s(t_bool,X11)))|~(p(s(t_bool,X13)))))&(p(s(t_bool,X11))|(~(p(s(t_bool,X12)))|~(p(s(t_bool,X13))))))))),file('i/f/words/dimindex__dimword__lt__iso', ah4s_sats_dcu_u_eq)).
fof(16, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/words/dimindex__dimword__lt__iso', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(36, axiom,![X17]:![X18]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X17)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X18))))),file('i/f/words/dimindex__dimword__lt__iso', ah4s_arithmetics_NOTu_u_LESS)).
fof(40, axiom,![X17]:![X18]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X17)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X18))),s(t_h4s_nums_num,X17))),file('i/f/words/dimindex__dimword__lt__iso', ah4s_arithmetics_LESSu_u_EQ)).
fof(43, axiom,![X17]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X17)))))=s(t_bool,t),file('i/f/words/dimindex__dimword__lt__iso', ah4s_numerals_numeralu_u_ltu_c0)).
fof(49, axiom,![X1]:![X2]:s(t_bool,h4s_arithmetics_u_3cu_3d(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_fcps_dimindex(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(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_wordss_dimword(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value))))),file('i/f/words/dimindex__dimword__lt__iso', ah4s_wordss_dimindexu_u_dimwordu_u_leu_u_iso)).
fof(53, axiom,![X1]:?[X18]: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_nums_suc(s(t_h4s_nums_num,X18))),file('i/f/words/dimindex__dimword__lt__iso', ah4s_wordss_EXISTSu_u_HB)).
fof(57, axiom,![X17]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X17))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/words/dimindex__dimword__lt__iso', ah4s_numerals_numeralu_u_lteu_c1)).
fof(69, axiom,~(p(s(t_bool,f))),file('i/f/words/dimindex__dimword__lt__iso', aHLu_FALSITY)).
fof(70, axiom,![X3]:((p(s(t_bool,X3))=>p(s(t_bool,f)))<=>s(t_bool,X3)=s(t_bool,f)),file('i/f/words/dimindex__dimword__lt__iso', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
# SZS output end CNFRefutation
