# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(s(t_bool,X2)=s(t_bool,X1)<=>((p(s(t_bool,X2))&p(s(t_bool,X1)))|(~(p(s(t_bool,X2)))&~(p(s(t_bool,X1)))))),file('i/f/bool/EQ__EXPAND', ch4s_bools_EQu_u_EXPAND)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bool/EQ__EXPAND', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/bool/EQ__EXPAND', aHLu_FALSITY)).
fof(5, axiom,(p(s(t_bool,f))<=>![X4]:p(s(t_bool,X4))),file('i/f/bool/EQ__EXPAND', ah4s_bools_Fu_u_DEF)).
fof(6, axiom,![X1]:![X2]:((p(s(t_bool,X2))=>p(s(t_bool,X1)))=>((p(s(t_bool,X1))=>p(s(t_bool,X2)))=>s(t_bool,X2)=s(t_bool,X1))),file('i/f/bool/EQ__EXPAND', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(9, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/bool/EQ__EXPAND', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
