# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:![X8]:((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_invariantu_u_on(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(t_fun(X2,t_bool),X8),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(X2,t_bool),X8),s(X2,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),X4),s(X2,X3))))))),file('i/f/relation/TFL__INDUCTIVE__INVARIANT__ON__WFREC', ch4s_relations_TFLu_u_INDUCTIVEu_u_INVARIANTu_u_ONu_u_WFREC)).
fof(2, axiom,![X9]:![X10]:((p(s(t_bool,X10))=>p(s(t_bool,X9)))=>((p(s(t_bool,X9))=>p(s(t_bool,X10)))=>s(t_bool,X10)=s(t_bool,X9))),file('i/f/relation/TFL__INDUCTIVE__INVARIANT__ON__WFREC', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(49, axiom,![X1]:![X2]:![X3]:![X5]:![X6]:![X7]:![X8]:((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_invariantu_u_on(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(t_fun(X2,t_bool),X8),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(X2,t_bool),X8),s(X2,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__ON__WFREC', ah4s_relations_INDUCTIVEu_u_INVARIANTu_u_ONu_u_WFREC)).
fof(74, axiom,![X2]:![X3]:![X6]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),X6),s(X2,X3))))=>p(s(t_bool,happ(s(t_fun(X2,t_bool),X6),s(X2,h4s_mins_u_40(s(t_fun(X2,t_bool),X6))))))),file('i/f/relation/TFL__INDUCTIVE__INVARIANT__ON__WFREC', ah4s_bools_SELECTu_u_AX)).
fof(76, axiom,![X2]:![X3]:s(t_bool,d_exists(s(t_fun(X2,t_bool),X3)))=s(t_bool,happ(s(t_fun(X2,t_bool),X3),s(X2,h4s_mins_u_40(s(t_fun(X2,t_bool),X3))))),file('i/f/relation/TFL__INDUCTIVE__INVARIANT__ON__WFREC', ah4s_bools_EXISTSu_u_DEF)).
# SZS output end CNFRefutation
