# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X1),t_fun(t_h4s_nums_num,t_bool)),h4s_fcps_fcpu_u_index),s(t_h4s_fcps_cart(t_bool,X1),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),X2))))),s(t_h4s_nums_num,X4)))=s(t_bool,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))),s(t_bool,h4s_bitstrings_testbit(s(t_h4s_nums_num,X4),s(t_h4s_lists_list(t_bool),X2))),s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X1),t_fun(t_h4s_nums_num,t_bool)),h4s_combins_fail(s(t_fun(t_h4s_fcps_cart(t_bool,X1),t_fun(t_h4s_nums_num,t_bool)),h4s_fcps_fcpu_u_index),s(t_bool,X3))),s(t_h4s_fcps_cart(t_bool,X1),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),X2))))),s(t_h4s_nums_num,X4))))),file('i/f/bitstring/word__index__v2w', ch4s_bitstrings_wordu_u_indexu_u_v2w)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bitstring/word__index__v2w', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/bitstring/word__index__v2w', aHLu_FALSITY)).
fof(6, 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/bitstring/word__index__v2w', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(12, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/bitstring/word__index__v2w', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(13, axiom,![X1]:![X6]:![X7]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X7),s(X1,X6)))=s(X1,X7),file('i/f/bitstring/word__index__v2w', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(14, axiom,![X1]:![X6]:![X7]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X7),s(X1,X6)))=s(X1,X6),file('i/f/bitstring/word__index__v2w', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(18, axiom,![X1]:![X19]:![X20]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))))=>s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X1),t_fun(t_h4s_nums_num,t_bool)),h4s_fcps_fcpu_u_index),s(t_h4s_fcps_cart(t_bool,X1),X19))),s(t_h4s_nums_num,X20)))=s(t_bool,h4s_wordss_wordu_u_bit(s(t_h4s_nums_num,X20),s(t_h4s_fcps_cart(t_bool,X1),X19)))),file('i/f/bitstring/word__index__v2w', ah4s_wordss_wordu_u_bit0)).
fof(19, axiom,![X1]:![X2]:![X21]:(p(s(t_bool,h4s_wordss_wordu_u_bit(s(t_h4s_nums_num,X21),s(t_h4s_fcps_cart(t_bool,X1),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),X2))))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))))&p(s(t_bool,h4s_bitstrings_testbit(s(t_h4s_nums_num,X21),s(t_h4s_lists_list(t_bool),X2)))))),file('i/f/bitstring/word__index__v2w', ah4s_bitstrings_bitu_u_v2w)).
fof(20, axiom,![X22]:![X1]:![X8]:![X23]:s(X1,h4s_combins_fail(s(X1,X8),s(X22,X23)))=s(X1,X8),file('i/f/bitstring/word__index__v2w', ah4s_combins_FAILu_u_DEF)).
# SZS output end CNFRefutation
