# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(2, axiom,~(p(s(t_bool,f0))),file('i/f/bool/BOOL__FUN__CASES__THM', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f0)),file('i/f/bool/BOOL__FUN__CASES__THM', aHLu_BOOLu_CASES)).
fof(5, axiom,![X7]:![X8]:((p(s(t_bool,X8))=>p(s(t_bool,X7)))=>((p(s(t_bool,X7))=>p(s(t_bool,X8)))=>s(t_bool,X8)=s(t_bool,X7))),file('i/f/bool/BOOL__FUN__CASES__THM', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(9, axiom,~(s(t_bool,f0)=s(t_bool,t)),file('i/f/bool/BOOL__FUN__CASES__THM', ah4s_bools_BOOLu_u_EQu_u_DISTINCTu_c1)).
fof(13, axiom,![X1]:(s(t_bool,X1)=s(t_bool,f0)<=>~(p(s(t_bool,X1)))),file('i/f/bool/BOOL__FUN__CASES__THM', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(45, axiom,?[X4]:(p(s(t_bool,h4s_bools_oneu_u_one(s(t_fun(t_h4s_mins_ind,t_h4s_mins_ind),X4))))&~(p(s(t_bool,h4s_bools_onto(s(t_fun(t_h4s_mins_ind,t_h4s_mins_ind),X4)))))),file('i/f/bool/BOOL__FUN__CASES__THM', ah4s_bools_INFINITYu_u_AX)).
fof(62, axiom,![X1]:(s(t_bool,t)=s(t_bool,X1)<=>p(s(t_bool,X1))),file('i/f/bool/BOOL__FUN__CASES__THM', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(133, conjecture,![X4]:(![X6]:s(t_bool,happ(s(t_fun(t_bool,t_bool),X4),s(t_bool,X6)))=s(t_bool,t)|(![X6]:s(t_bool,happ(s(t_fun(t_bool,t_bool),X4),s(t_bool,X6)))=s(t_bool,f0)|(![X6]:s(t_bool,happ(s(t_fun(t_bool,t_bool),X4),s(t_bool,X6)))=s(t_bool,X6)|![X6]:(p(s(t_bool,happ(s(t_fun(t_bool,t_bool),X4),s(t_bool,X6))))<=>~(p(s(t_bool,X6))))))),file('i/f/bool/BOOL__FUN__CASES__THM', ch4s_bools_BOOLu_u_FUNu_u_CASESu_u_THM)).
# SZS output end CNFRefutation
