# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/bool/COND__EXPAND', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/bool/COND__EXPAND', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/bool/COND__EXPAND', aHLu_BOOLu_CASES)).
fof(19, axiom,![X7]:![X12]:![X13]:s(X7,h4s_bools_cond(s(t_bool,t),s(X7,X13),s(X7,X12)))=s(X7,X13),file('i/f/bool/COND__EXPAND', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(20, axiom,![X7]:![X12]:![X13]:s(X7,h4s_bools_cond(s(t_bool,f),s(X7,X13),s(X7,X12)))=s(X7,X12),file('i/f/bool/COND__EXPAND', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(25, axiom,![X1]:(s(t_bool,f)=s(t_bool,X1)<=>~(p(s(t_bool,X1)))),file('i/f/bool/COND__EXPAND', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(38, axiom,~(s(t_bool,t)=s(t_bool,f)),file('i/f/bool/COND__EXPAND', ah4s_bools_BOOLu_u_EQu_u_DISTINCTu_c0)).
fof(53, axiom,![X1]:(s(t_bool,t)=s(t_bool,X1)<=>p(s(t_bool,X1))),file('i/f/bool/COND__EXPAND', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(133, conjecture,![X12]:![X13]:![X16]:(p(s(t_bool,h4s_bools_cond(s(t_bool,X16),s(t_bool,X13),s(t_bool,X12))))<=>((~(p(s(t_bool,X16)))|p(s(t_bool,X13)))&(p(s(t_bool,X16))|p(s(t_bool,X12))))),file('i/f/bool/COND__EXPAND', ch4s_bools_CONDu_u_EXPAND)).
# SZS output end CNFRefutation
