# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_w2w(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,X2),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/words/w2w__0', ch4s_wordss_w2wu_u_0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/words/w2w__0', aHLu_TRUTH)).
fof(6, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/words/w2w__0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(9, axiom,![X1]:![X2]:![X9]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_w2w(s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_n2w(s(t_h4s_nums_num,X9)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_bools_cond(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_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X9))),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X2),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))))))),s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X9))))))),file('i/f/words/w2w__0', ah4s_wordss_w2wu_u_n2w)).
fof(10, axiom,![X9]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X9))))=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X9)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/words/w2w__0', ah4s_arithmetics_ZEROu_u_MOD)).
fof(11, axiom,![X9]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X9))))=>s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X9)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/words/w2w__0', ah4s_arithmetics_ZEROu_u_DIV)).
fof(12, axiom,![X9]: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,X9)))))),file('i/f/words/w2w__0', ah4s_bits_ZEROu_u_LTu_u_TWOEXP)).
fof(13, axiom,![X2]:![X5]:![X11]:s(X2,h4s_bools_cond(s(t_bool,X11),s(X2,X5),s(X2,X5)))=s(X2,X5),file('i/f/words/w2w__0', ah4s_bools_CONDu_u_ID)).
fof(14, axiom,![X2]:![X12]:![X4]:![X13]:![X3]:![X14]:![X15]:((s(t_bool,X15)=s(t_bool,X14)&((p(s(t_bool,X14))=>s(X2,X3)=s(X2,X13))&(~(p(s(t_bool,X14)))=>s(X2,X4)=s(X2,X12))))=>s(X2,h4s_bools_cond(s(t_bool,X15),s(X2,X3),s(X2,X4)))=s(X2,h4s_bools_cond(s(t_bool,X14),s(X2,X13),s(X2,X12)))),file('i/f/words/w2w__0', ah4s_bools_CONDu_u_CONG)).
fof(15, axiom,~(p(s(t_bool,f))),file('i/f/words/w2w__0', aHLu_FALSITY)).
fof(16, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/words/w2w__0', aHLu_BOOLu_CASES)).
fof(17, axiom,![X9]:![X16]:![X17]:s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X9)))=s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X9),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_nums_suc(s(t_h4s_nums_num,X17))))))),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,X16))))),file('i/f/words/w2w__0', ah4s_bits_BITSu_u_THM2)).
# SZS output end CNFRefutation
