# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(![X3]:![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X3))),s(X1,X4))))<=>s(X1,X3)=s(X1,X4))=>![X3]:s(t_h4s_options_option(X1),h4s_options_some(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X3)))))=s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some0),s(X1,X3)))),file('i/f/option/some__EQ_c1', ch4s_options_someu_u_EQu_c1)).
fof(50, axiom,![X1]:![X2]:(![X3]:![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X3))),s(X1,X4))))<=>s(X1,X4)=s(X1,X3))=>![X3]:s(t_h4s_options_option(X1),h4s_options_some(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X3)))))=s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some0),s(X1,X3)))),file('i/f/option/some__EQ_c1', ah4s_options_someu_u_EQu_c0)).
fof(55, axiom,p(s(t_bool,t)),file('i/f/option/some__EQ_c1', aHLu_TRUTH)).
fof(60, axiom,![X18]:(s(t_bool,X18)=s(t_bool,t)<=>p(s(t_bool,X18))),file('i/f/option/some__EQ_c1', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
