# 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_wordss_intu_u_max(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/INT__MAX__LT__DIMWORD', ch4s_wordss_INTu_u_MAXu_u_LTu_u_DIMWORD)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/words/INT__MAX__LT__DIMWORD', aHLu_FALSITY)).
fof(4, axiom,![X2]:((p(s(t_bool,X2))=>p(s(t_bool,f)))<=>s(t_bool,X2)=s(t_bool,f)),file('i/f/words/INT__MAX__LT__DIMWORD', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(7, axiom,![X5]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X5)))),file('i/f/words/INT__MAX__LT__DIMWORD', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(20, axiom,![X5]:![X6]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X6))))),file('i/f/words/INT__MAX__LT__DIMWORD', ah4s_arithmetics_NOTu_u_LESS)).
fof(28, axiom,![X5]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/words/INT__MAX__LT__DIMWORD', ah4s_primu_u_recs_NOTu_u_LESSu_u_0)).
fof(38, axiom,![X5]:![X6]:(s(t_h4s_nums_num,X6)=s(t_h4s_nums_num,X5)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X6)))))),file('i/f/words/INT__MAX__LT__DIMWORD', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(42, axiom,![X1]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_wordss_intu_u_min(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/INT__MAX__LT__DIMWORD', ah4s_wordss_INTu_u_MINu_u_LTu_u_DIMWORD)).
fof(45, axiom,![X5]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),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,X5)))))),file('i/f/words/INT__MAX__LT__DIMWORD', ah4s_bits_ZEROu_u_LTu_u_TWOEXP)).
fof(46, axiom,![X5]:![X6]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X6))),s(t_h4s_nums_num,X5))),file('i/f/words/INT__MAX__LT__DIMWORD', ah4s_arithmetics_LESSu_u_EQ)).
fof(47, axiom,![X5]:![X18]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X5))))=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,X18)),file('i/f/words/INT__MAX__LT__DIMWORD', ah4s_arithmetics_LESSu_u_MOD)).
fof(49, axiom,![X4]:![X5]:![X6]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,X5))),file('i/f/words/INT__MAX__LT__DIMWORD', ah4s_arithmetics_SUBu_u_LEFTu_u_LESS)).
fof(54, axiom,![X5]: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,X5)))))=s(t_bool,t),file('i/f/words/INT__MAX__LT__DIMWORD', ah4s_numerals_numeralu_u_ltu_c0)).
fof(56, 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/INT__MAX__LT__DIMWORD', ah4s_numerals_numeralu_u_ltu_c2)).
fof(63, axiom,![X1]:s(t_h4s_nums_num,h4s_wordss_intu_u_min(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_arithmetics_u_2d(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_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))),file('i/f/words/INT__MAX__LT__DIMWORD', ah4s_wordss_INTu_u_MINu_u_def)).
fof(64, axiom,![X1]:?[X6]: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,X6))),file('i/f/words/INT__MAX__LT__DIMWORD', ah4s_wordss_EXISTSu_u_HB)).
fof(73, axiom,![X1]:s(t_h4s_nums_num,h4s_wordss_intu_u_max(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/words/INT__MAX__LT__DIMWORD', ah4s_wordss_INTu_u_MAXu_u_def)).
fof(76, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/words/INT__MAX__LT__DIMWORD', aHLu_BOOLu_CASES)).
fof(77, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/words/INT__MAX__LT__DIMWORD', ah4s_bools_NOTu_u_CLAUSESu_c2)).
fof(84, axiom,![X5]:![X6]:(~(s(t_h4s_nums_num,X6)=s(t_h4s_nums_num,X5))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X6))),s(t_h4s_nums_num,X5))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,X6)))))),file('i/f/words/INT__MAX__LT__DIMWORD', ah4s_arithmetics_NOTu_u_NUMu_u_EQ)).
fof(85, axiom,![X4]:![X5]:![X6]:(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,X4)<=>(s(t_h4s_nums_num,X6)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4)))|(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/words/INT__MAX__LT__DIMWORD', ah4s_arithmetics_SUBu_u_RIGHTu_u_EQ)).
fof(88, axiom,![X24]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X24)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/words/INT__MAX__LT__DIMWORD', ah4s_arithmetics_SUBu_u_EQUALu_u_0)).
fof(90, axiom,![X6]:(s(t_h4s_nums_num,X6)=s(t_h4s_nums_num,h4s_nums_0)|?[X5]:s(t_h4s_nums_num,X6)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X5)))),file('i/f/words/INT__MAX__LT__DIMWORD', ah4s_arithmetics_numu_u_CASES)).
fof(91, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),file('i/f/words/INT__MAX__LT__DIMWORD', ah4s_arithmetics_EXP0u_c0)).
fof(92, 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/words/INT__MAX__LT__DIMWORD', ah4s_arithmetics_ONE)).
fof(94, axiom,![X5]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(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,X5))),file('i/f/words/INT__MAX__LT__DIMWORD', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(95, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X6))),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,X6),file('i/f/words/INT__MAX__LT__DIMWORD', ah4s_arithmetics_SUCu_u_SUB1)).
# SZS output end CNFRefutation
