# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:((s(t_fun(X2,X1),X4)=s(t_fun(X2,X1),h4s_relations_wfrec(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(t_fun(t_fun(X2,X1),t_fun(X2,X1)),X7)))&(p(s(t_bool,h4s_relations_wf(s(t_fun(X2,t_fun(X2,t_bool)),X5))))&p(s(t_bool,h4s_relations_inductiveu_u_invariant(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(t_fun(X2,t_fun(X1,t_bool)),X6),s(t_fun(t_fun(X2,X1),t_fun(X2,X1)),X7))))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X2,t_fun(X1,t_bool)),X6),s(X2,X3))),s(X1,happ(s(t_fun(X2,X1),X4),s(X2,X3))))))),file('i/f/relation/TFL__INDUCTIVE__INVARIANT__WFREC', ch4s_relations_TFLu_u_INDUCTIVEu_u_INVARIANTu_u_WFREC)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/relation/TFL__INDUCTIVE__INVARIANT__WFREC', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/relation/TFL__INDUCTIVE__INVARIANT__WFREC', aHLu_FALSITY)).
fof(19, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)<=>p(s(t_bool,X10))),file('i/f/relation/TFL__INDUCTIVE__INVARIANT__WFREC', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(20, axiom,![X10]:(s(t_bool,X10)=s(t_bool,f0)<=>~(p(s(t_bool,X10)))),file('i/f/relation/TFL__INDUCTIVE__INVARIANT__WFREC', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(39, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)|s(t_bool,X10)=s(t_bool,f0)),file('i/f/relation/TFL__INDUCTIVE__INVARIANT__WFREC', aHLu_BOOLu_CASES)).
fof(45, axiom,![X1]:![X2]:![X5]:![X6]:![X7]:((p(s(t_bool,h4s_relations_wf(s(t_fun(X2,t_fun(X2,t_bool)),X5))))&p(s(t_bool,h4s_relations_inductiveu_u_invariant(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(t_fun(X2,t_fun(X1,t_bool)),X6),s(t_fun(t_fun(X2,X1),t_fun(X2,X1)),X7)))))=>![X3]:p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X2,t_fun(X1,t_bool)),X6),s(X2,X3))),s(X1,happ(s(t_fun(X2,X1),h4s_relations_wfrec(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(t_fun(t_fun(X2,X1),t_fun(X2,X1)),X7))),s(X2,X3))))))),file('i/f/relation/TFL__INDUCTIVE__INVARIANT__WFREC', ah4s_relations_INDUCTIVEu_u_INVARIANTu_u_WFREC)).
# SZS output end CNFRefutation
