# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(X1,h4s_bools_cond(s(t_bool,X3),s(X1,X2),s(X1,X2)))=s(X1,X2),file('i/f/bool/COND__ID', ch4s_bools_CONDu_u_ID)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/bool/COND__ID', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/bool/COND__ID', aHLu_FALSITY)).
fof(4, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)|s(t_bool,X2)=s(t_bool,f)),file('i/f/bool/COND__ID', aHLu_BOOLu_CASES)).
fof(7, axiom,(p(s(t_bool,f))<=>![X2]:p(s(t_bool,X2))),file('i/f/bool/COND__ID', ah4s_bools_Fu_u_DEF)).
fof(24, axiom,![X2]:(s(t_bool,t0)=s(t_bool,X2)<=>p(s(t_bool,X2))),file('i/f/bool/COND__ID', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(27, axiom,![X2]:(s(t_bool,X2)=s(t_bool,f)<=>~(p(s(t_bool,X2)))),file('i/f/bool/COND__ID', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(61, axiom,~(s(t_bool,t0)=s(t_bool,f)),file('i/f/bool/COND__ID', ah4s_bools_BOOLu_u_EQu_u_DISTINCTu_c0)).
fof(65, axiom,![X1]:![X9]:![X10]:s(X1,h4s_bools_cond(s(t_bool,t0),s(X1,X10),s(X1,X9)))=s(X1,X10),file('i/f/bool/COND__ID', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(66, axiom,![X1]:![X9]:![X10]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X10),s(X1,X9)))=s(X1,X9),file('i/f/bool/COND__ID', ah4s_bools_CONDu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
