# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/words/WORD__NEG__0', ch4s_wordss_WORDu_u_NEGu_u_0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/words/WORD__NEG__0', aHLu_TRUTH)).
fof(4, axiom,![X2]:![X3]:((p(s(t_bool,X3))=>p(s(t_bool,X2)))=>((p(s(t_bool,X2))=>p(s(t_bool,X3)))=>s(t_bool,X3)=s(t_bool,X2))),file('i/f/words/WORD__NEG__0', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(9, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/words/WORD__NEG__0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(12, axiom,![X1]:![X10]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X1),X10)))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_arithmetics_u_2d(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_w2n(s(t_h4s_fcps_cart(t_bool,X1),X10))))))),file('i/f/words/WORD__NEG__0', ah4s_wordss_wordu_u_2compu_u_def)).
fof(13, axiom,![X1]:![X11]:s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X11)))))=s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))),file('i/f/words/WORD__NEG__0', ah4s_wordss_w2nu_u_n2w)).
fof(14, axiom,![X1]:![X11]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X11))),file('i/f/words/WORD__NEG__0', ah4s_wordss_n2wu_u_mod)).
fof(16, axiom,![X13]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X13),file('i/f/words/WORD__NEG__0', ah4s_arithmetics_SUBu_u_0u_c1)).
fof(17, axiom,![X11]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X11))))=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X11)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/words/WORD__NEG__0', ah4s_arithmetics_ZEROu_u_MOD)).
fof(18, axiom,![X11]: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,X11)))))),file('i/f/words/WORD__NEG__0', ah4s_bits_ZEROu_u_LTu_u_TWOEXP)).
fof(20, axiom,~(p(s(t_bool,f))),file('i/f/words/WORD__NEG__0', aHLu_FALSITY)).
fof(24, axiom,![X4]:(s(t_bool,f)=s(t_bool,X4)<=>~(p(s(t_bool,X4)))),file('i/f/words/WORD__NEG__0', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(25, 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/WORD__NEG__0', ah4s_wordss_dimwordu_u_def)).
fof(26, axiom,![X11]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X11))))=>(s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X11)))=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_mod(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X11)))=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/words/WORD__NEG__0', ah4s_arithmetics_DIVMODu_u_ID)).
# SZS output end CNFRefutation
