# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)<=>p(s(t_bool,h4s_basisu_u_emits_isu_u_empty(s(t_fun(X1,t_bool),X2))))),file('i/f/basis_emit/IS__EMPTY__REWRITE_c0', ch4s_basisu_u_emits_ISu_u_EMPTYu_u_REWRITEu_c0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/basis_emit/IS__EMPTY__REWRITE_c0', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/basis_emit/IS__EMPTY__REWRITE_c0', aHLu_FALSITY)).
fof(6, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/basis_emit/IS__EMPTY__REWRITE_c0', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(15, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/basis_emit/IS__EMPTY__REWRITE_c0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(21, axiom,![X1]:![X2]:?[X11]:((p(s(t_bool,X11))<=>s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))&s(t_bool,h4s_basisu_u_emits_isu_u_empty(s(t_fun(X1,t_bool),X2)))=s(t_bool,h4s_bools_cond(s(t_bool,X11),s(t_bool,t),s(t_bool,f)))),file('i/f/basis_emit/IS__EMPTY__REWRITE_c0', ah4s_basisu_u_emits_ISu_u_EMPTYu_u_def)).
fof(23, axiom,![X1]:![X4]:![X5]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X5),s(X1,X4)))=s(X1,X5),file('i/f/basis_emit/IS__EMPTY__REWRITE_c0', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(24, axiom,![X1]:![X4]:![X5]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X5),s(X1,X4)))=s(X1,X4),file('i/f/basis_emit/IS__EMPTY__REWRITE_c0', ah4s_bools_CONDu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
