# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/operator/ASSOC__DISJ', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/operator/ASSOC__DISJ', 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/operator/ASSOC__DISJ', aHLu_BOOLu_CASES)).
fof(5, axiom,![X6]:![X7]:(p(s(t_bool,happ(s(t_fun(t_bool,t_bool),happ(s(t_fun(t_bool,t_fun(t_bool,t_bool)),d_or),s(t_bool,X6))),s(t_bool,X7))))<=>![X1]:((p(s(t_bool,X6))=>p(s(t_bool,X1)))=>((p(s(t_bool,X7))=>p(s(t_bool,X1)))=>p(s(t_bool,X1))))),file('i/f/operator/ASSOC__DISJ', ah4s_bools_ORu_u_DEF)).
fof(6, axiom,![X8]:![X4]:(p(s(t_bool,h4s_operators_assoc(s(t_fun(X8,t_fun(X8,X8)),X4))))<=>![X6]:![X9]:![X10]:s(X8,happ(s(t_fun(X8,X8),happ(s(t_fun(X8,t_fun(X8,X8)),X4),s(X8,X6))),s(X8,happ(s(t_fun(X8,X8),happ(s(t_fun(X8,t_fun(X8,X8)),X4),s(X8,X9))),s(X8,X10)))))=s(X8,happ(s(t_fun(X8,X8),happ(s(t_fun(X8,t_fun(X8,X8)),X4),s(X8,happ(s(t_fun(X8,X8),happ(s(t_fun(X8,t_fun(X8,X8)),X4),s(X8,X6))),s(X8,X9))))),s(X8,X10)))),file('i/f/operator/ASSOC__DISJ', ah4s_operators_ASSOCu_u_DEF)).
fof(21, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/operator/ASSOC__DISJ', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(69, axiom,![X8]:![X6]:s(t_bool,h4s_options_isu_u_some(s(t_h4s_options_option(X8),h4s_options_some(s(X8,X6)))))=s(t_bool,t),file('i/f/operator/ASSOC__DISJ', ah4s_options_ISu_u_SOMEu_u_DEFu_c0)).
fof(71, axiom,![X1]:(s(t_bool,f)=s(t_bool,X1)<=>~(p(s(t_bool,X1)))),file('i/f/operator/ASSOC__DISJ', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(73, axiom,![X8]:s(t_bool,h4s_options_isu_u_some(s(t_h4s_options_option(X8),h4s_options_none)))=s(t_bool,f),file('i/f/operator/ASSOC__DISJ', ah4s_options_ISu_u_SOMEu_u_DEFu_c1)).
fof(133, conjecture,p(s(t_bool,h4s_operators_assoc(s(t_fun(t_bool,t_fun(t_bool,t_bool)),d_or)))),file('i/f/operator/ASSOC__DISJ', ch4s_operators_ASSOCu_u_DISJ)).
# SZS output end CNFRefutation
