# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_fcps_cart(t_bool,X1),h4s_fcps_fcp(s(t_fun(t_h4s_nums_num,t_bool),h4s_combins_k(s(t_bool,t)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_t),file('i/f/words/FCP__T__F_c0', ch4s_wordss_FCPu_u_Tu_u_Fu_c0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/words/FCP__T__F_c0', aHLu_TRUTH)).
fof(7, axiom,![X2]:(s(t_bool,t)=s(t_bool,X2)<=>p(s(t_bool,X2))),file('i/f/words/FCP__T__F_c0', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(11, axiom,![X1]:![X10]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))))=>p(s(t_bool,h4s_fcps_fcpu_u_index(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_t),s(t_h4s_nums_num,X10))))),file('i/f/words/FCP__T__F_c0', ah4s_wordss_wordu_u_T0)).
fof(12, axiom,![X1]:![X11]:![X4]:![X3]:(s(t_h4s_fcps_cart(X1,X11),X3)=s(t_h4s_fcps_cart(X1,X11),X4)<=>![X10]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X11),h4s_bools_theu_u_value))))))=>s(X1,h4s_fcps_fcpu_u_index(s(t_h4s_fcps_cart(X1,X11),X3),s(t_h4s_nums_num,X10)))=s(X1,h4s_fcps_fcpu_u_index(s(t_h4s_fcps_cart(X1,X11),X4),s(t_h4s_nums_num,X10))))),file('i/f/words/FCP__T__F_c0', ah4s_fcps_CARTu_u_EQ)).
fof(13, axiom,![X11]:![X1]:![X10]:![X12]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X11),h4s_bools_theu_u_value))))))=>s(X1,h4s_fcps_fcpu_u_index(s(t_h4s_fcps_cart(X1,X11),h4s_fcps_fcp(s(t_fun(t_h4s_nums_num,X1),X12))),s(t_h4s_nums_num,X10)))=s(X1,happ(s(t_fun(t_h4s_nums_num,X1),X12),s(t_h4s_nums_num,X10)))),file('i/f/words/FCP__T__F_c0', ah4s_fcps_FCPu_u_BETA)).
fof(14, axiom,![X11]:![X1]:![X4]:![X3]:s(X1,happ(s(t_fun(X11,X1),h4s_combins_k(s(X1,X3))),s(X11,X4)))=s(X1,X3),file('i/f/words/FCP__T__F_c0', ah4s_combins_Ku_u_THM)).
fof(15, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/words/FCP__T__F_c0', aHLu_BOOLu_CASES)).
fof(17, axiom,~(p(s(t_bool,f))),file('i/f/words/FCP__T__F_c0', aHLu_FALSITY)).
# SZS output end CNFRefutation
