# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,p(s(t_bool,h4s_relations_invol(s(t_fun(t_bool,t_bool),d_not)))),file('i/f/relation/NOT__INVOL', ch4s_relations_NOTu_u_INVOL)).
fof(4, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/relation/NOT__INVOL', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(29, axiom,![X7]:![X10]:(~(?[X8]:p(s(t_bool,happ(s(t_fun(X7,t_bool),X10),s(X7,X8)))))<=>![X8]:~(p(s(t_bool,happ(s(t_fun(X7,t_bool),X10),s(X7,X8)))))),file('i/f/relation/NOT__INVOL', ah4s_bools_NOTu_u_EXISTSu_u_THM)).
fof(47, axiom,![X23]:![X12]:(p(s(t_bool,h4s_relations_invol(s(t_fun(X23,X23),X12))))<=>![X8]:s(X23,happ(s(t_fun(X23,X23),X12),s(X23,happ(s(t_fun(X23,X23),X12),s(X23,X8)))))=s(X23,X8)),file('i/f/relation/NOT__INVOL', ah4s_relations_INVOL0)).
fof(50, axiom,![X8]:(p(s(t_bool,happ(s(t_fun(t_bool,t_bool),d_not),s(t_bool,X8))))<=>(p(s(t_bool,X8))=>p(s(t_bool,f)))),file('i/f/relation/NOT__INVOL', ah4s_bools_NOTu_u_DEF)).
fof(51, axiom,![X7]:![X8]:s(X7,happ(s(t_fun(X7,X7),h4s_combins_i),s(X7,X8)))=s(X7,X8),file('i/f/relation/NOT__INVOL', ah4s_combins_Iu_u_THM)).
fof(55, axiom,~(p(s(t_bool,f))),file('i/f/relation/NOT__INVOL', aHLu_FALSITY)).
fof(56, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/relation/NOT__INVOL', aHLu_BOOLu_CASES)).
fof(58, axiom,![X4]:(s(t_bool,X4)=s(t_bool,f)<=>~(p(s(t_bool,X4)))),file('i/f/relation/NOT__INVOL', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(70, axiom,(p(s(t_bool,f))<=>![X4]:p(s(t_bool,X4))),file('i/f/relation/NOT__INVOL', ah4s_bools_Fu_u_DEF)).
fof(78, axiom,p(s(t_bool,t)),file('i/f/relation/NOT__INVOL', aHLu_TRUTH)).
fof(81, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/relation/NOT__INVOL', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
