# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(t_fun(X1,X2),X4),s(t_fun(X2,X1),X3))))=>![X6]:s(t_h4s_options_option(X2),h4s_options_some(s(X2,X6)))=s(t_h4s_options_option(X2),happ(s(t_fun(t_h4s_options_option(X1),t_h4s_options_option(X2)),h4s_options_optionu_u_map(s(t_fun(X1,X2),X4))),s(t_h4s_options_option(X1),h4s_options_some(s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X6)))))))),file('i/f/quotient_option/SOME__PRS', ch4s_quotientu_u_options_SOMEu_u_PRS)).
fof(26, axiom,![X2]:![X1]:![X6]:![X9]:s(t_h4s_options_option(X2),happ(s(t_fun(t_h4s_options_option(X1),t_h4s_options_option(X2)),h4s_options_optionu_u_map(s(t_fun(X1,X2),X9))),s(t_h4s_options_option(X1),h4s_options_some(s(X1,X6)))))=s(t_h4s_options_option(X2),h4s_options_some(s(X2,happ(s(t_fun(X1,X2),X9),s(X1,X6))))),file('i/f/quotient_option/SOME__PRS', ah4s_options_OPTIONu_u_MAPu_u_DEFu_c0)).
fof(29, axiom,![X2]:![X1]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(t_fun(X1,X2),X4),s(t_fun(X2,X1),X3))))<=>(![X15]:s(X2,happ(s(t_fun(X1,X2),X4),s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X15)))))=s(X2,X15)&(![X15]:p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X15))))),s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X15))))))&![X20]:![X28]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(X1,X20))),s(X1,X28))))<=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(X1,X20))),s(X1,X20))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(X1,X28))),s(X1,X28))))&s(X2,happ(s(t_fun(X1,X2),X4),s(X1,X20)))=s(X2,happ(s(t_fun(X1,X2),X4),s(X1,X28))))))))),file('i/f/quotient_option/SOME__PRS', ah4s_quotients_QUOTIENTu_u_def)).
fof(55, axiom,p(s(t_bool,t)),file('i/f/quotient_option/SOME__PRS', aHLu_TRUTH)).
fof(60, axiom,![X14]:(s(t_bool,X14)=s(t_bool,t)<=>p(s(t_bool,X14))),file('i/f/quotient_option/SOME__PRS', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
