# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(![X3]:s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X3)))=s(t_bool,f)=>![X4]:s(t_bool,h4s_bools_resu_u_exists(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X2)))=s(t_bool,f)),file('i/f/bool/RES__EXISTS__FALSE', ch4s_bools_RESu_u_EXISTSu_u_FALSE)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/bool/RES__EXISTS__FALSE', aHLu_FALSITY)).
fof(4, axiom,![X9]:![X10]:((p(s(t_bool,X10))=>p(s(t_bool,X9)))=>((p(s(t_bool,X9))=>p(s(t_bool,X10)))=>s(t_bool,X10)=s(t_bool,X9))),file('i/f/bool/RES__EXISTS__FALSE', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(6, axiom,(p(s(t_bool,f))<=>![X12]:p(s(t_bool,X12))),file('i/f/bool/RES__EXISTS__FALSE', ah4s_bools_Fu_u_DEF)).
fof(12, axiom,![X12]:(s(t_bool,f)=s(t_bool,X12)<=>~(p(s(t_bool,X12)))),file('i/f/bool/RES__EXISTS__FALSE', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(75, axiom,![X1]:![X3]:![X24]:(p(s(t_bool,h4s_bools_resu_u_exists(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X24))))<=>?[X23]:(p(s(t_bool,h4s_bools_in(s(X1,X23),s(t_fun(X1,t_bool),X3))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X24),s(X1,X23)))))),file('i/f/bool/RES__EXISTS__FALSE', ah4s_bools_RESu_u_EXISTSu_u_DEF)).
# SZS output end CNFRefutation
