# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:s(X1,happ(s(t_fun(X2,X1),X5),s(X2,h4s_bools_cond(s(t_bool,X6),s(X2,X4),s(X2,X3)))))=s(X1,h4s_bools_cond(s(t_bool,X6),s(X1,happ(s(t_fun(X2,X1),X5),s(X2,X4))),s(X1,happ(s(t_fun(X2,X1),X5),s(X2,X3))))),file('i/f/bool/COND__RAND', ch4s_bools_CONDu_u_RAND)).
fof(71, axiom,![X2]:![X10]:![X11]:s(X2,h4s_bools_cond(s(t_bool,t),s(X2,X11),s(X2,X10)))=s(X2,X11),file('i/f/bool/COND__RAND', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(72, axiom,![X2]:![X10]:![X11]:s(X2,h4s_bools_cond(s(t_bool,f0),s(X2,X11),s(X2,X10)))=s(X2,X10),file('i/f/bool/COND__RAND', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(73, axiom,p(s(t_bool,t)),file('i/f/bool/COND__RAND', aHLu_TRUTH)).
fof(74, axiom,~(p(s(t_bool,f0))),file('i/f/bool/COND__RAND', aHLu_FALSITY)).
fof(75, axiom,![X12]:(s(t_bool,X12)=s(t_bool,t)|s(t_bool,X12)=s(t_bool,f0)),file('i/f/bool/COND__RAND', aHLu_BOOLu_CASES)).
fof(79, axiom,(p(s(t_bool,f0))<=>![X12]:p(s(t_bool,X12))),file('i/f/bool/COND__RAND', ah4s_bools_Fu_u_DEF)).
fof(80, axiom,![X12]:(s(t_bool,t)=s(t_bool,X12)<=>p(s(t_bool,X12))),file('i/f/bool/COND__RAND', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(81, axiom,![X12]:(s(t_bool,X12)=s(t_bool,f0)<=>~(p(s(t_bool,X12)))),file('i/f/bool/COND__RAND', ah4s_bools_EQu_u_CLAUSESu_c3)).
# SZS output end CNFRefutation
