# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:s(X2,happ(s(t_fun(t_h4s_nums_num,X2),happ(s(t_fun(t_h4s_fcps_cart(X2,X1),t_fun(t_h4s_nums_num,X2)),h4s_fcps_fcpu_u_index),s(t_h4s_fcps_cart(X2,X1),h4s_fcps_fcp(s(t_fun(t_h4s_nums_num,X2),X4))))),s(t_h4s_nums_num,X3)))=s(X2,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))),s(X2,happ(s(t_fun(t_h4s_nums_num,X2),X4),s(t_h4s_nums_num,X3))),s(X2,happ(s(t_fun(t_h4s_nums_num,X2),happ(s(t_fun(t_h4s_fcps_cart(X2,X1),t_fun(t_h4s_nums_num,X2)),h4s_combins_fail(s(t_fun(t_h4s_fcps_cart(X2,X1),t_fun(t_h4s_nums_num,X2)),h4s_fcps_fcpu_u_index),s(t_bool,X5))),s(t_h4s_fcps_cart(X2,X1),h4s_fcps_fcp(s(t_fun(t_h4s_nums_num,X2),X4))))),s(t_h4s_nums_num,X3))))),file('i/f/fcp/index__comp', ch4s_fcps_indexu_u_comp)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/fcp/index__comp', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/fcp/index__comp', aHLu_FALSITY)).
fof(4, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f0)),file('i/f/fcp/index__comp', aHLu_BOOLu_CASES)).
fof(6, axiom,![X7]:![X8]:((p(s(t_bool,X8))=>p(s(t_bool,X7)))=>((p(s(t_bool,X7))=>p(s(t_bool,X8)))=>s(t_bool,X8)=s(t_bool,X7))),file('i/f/fcp/index__comp', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(11, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/fcp/index__comp', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(12, axiom,![X2]:![X7]:![X8]:s(X2,h4s_bools_cond(s(t_bool,t),s(X2,X8),s(X2,X7)))=s(X2,X8),file('i/f/fcp/index__comp', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(13, axiom,![X2]:![X7]:![X8]:s(X2,h4s_bools_cond(s(t_bool,f0),s(X2,X8),s(X2,X7)))=s(X2,X7),file('i/f/fcp/index__comp', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(17, axiom,![X1]:![X2]:![X19]:![X18]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))))=>s(X2,happ(s(t_fun(t_h4s_nums_num,X2),happ(s(t_fun(t_h4s_fcps_cart(X2,X1),t_fun(t_h4s_nums_num,X2)),h4s_fcps_fcpu_u_index),s(t_h4s_fcps_cart(X2,X1),h4s_fcps_fcp(s(t_fun(t_h4s_nums_num,X2),X18))))),s(t_h4s_nums_num,X19)))=s(X2,happ(s(t_fun(t_h4s_nums_num,X2),X18),s(t_h4s_nums_num,X19)))),file('i/f/fcp/index__comp', ah4s_fcps_FCPu_u_BETA)).
fof(18, axiom,![X1]:![X2]:![X9]:![X20]:s(X2,h4s_combins_fail(s(X2,X9),s(X1,X20)))=s(X2,X9),file('i/f/fcp/index__comp', ah4s_combins_FAILu_u_DEF)).
# SZS output end CNFRefutation
