# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(![X6]:![X7]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X6))),s(X1,X7))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(X1,X6))),s(X1,X7)))))=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_rc(s(t_fun(X1,t_fun(X1,t_bool)),X4))),s(X1,X3))),s(X1,X2))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_rc(s(t_fun(X1,t_fun(X1,t_bool)),X5))),s(X1,X3))),s(X1,X2)))))),file('i/f/relation/RC__MONOTONE', ch4s_relations_RCu_u_MONOTONE)).
fof(15, axiom,![X15]:![X16]:((p(s(t_bool,X16))=>p(s(t_bool,X15)))=>((p(s(t_bool,X15))=>p(s(t_bool,X16)))=>s(t_bool,X16)=s(t_bool,X15))),file('i/f/relation/RC__MONOTONE', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(48, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_rc(s(t_fun(X1,t_fun(X1,t_bool)),X4))),s(X1,X3))),s(X1,X2))))<=>(s(X1,X3)=s(X1,X2)|p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X3))),s(X1,X2)))))),file('i/f/relation/RC__MONOTONE', ah4s_relations_RCu_u_DEF)).
fof(50, axiom,![X1]:![X4]:p(s(t_bool,h4s_relations_reflexive(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_rc(s(t_fun(X1,t_fun(X1,t_bool)),X4)))))),file('i/f/relation/RC__MONOTONE', ah4s_relations_reflexiveu_u_RC)).
fof(52, axiom,~(p(s(t_bool,f))),file('i/f/relation/RC__MONOTONE', aHLu_FALSITY)).
fof(53, axiom,![X11]:(s(t_bool,X11)=s(t_bool,t)|s(t_bool,X11)=s(t_bool,f)),file('i/f/relation/RC__MONOTONE', aHLu_BOOLu_CASES)).
fof(64, axiom,![X11]:(s(t_bool,X11)=s(t_bool,f)<=>~(p(s(t_bool,X11)))),file('i/f/relation/RC__MONOTONE', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(67, axiom,(p(s(t_bool,f))<=>![X11]:p(s(t_bool,X11))),file('i/f/relation/RC__MONOTONE', ah4s_bools_Fu_u_DEF)).
fof(69, axiom,p(s(t_bool,t)),file('i/f/relation/RC__MONOTONE', aHLu_TRUTH)).
fof(71, axiom,![X11]:(s(t_bool,X11)=s(t_bool,t)<=>p(s(t_bool,X11))),file('i/f/relation/RC__MONOTONE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(79, axiom,![X1]:![X4]:(p(s(t_bool,h4s_relations_reflexive(s(t_fun(X1,t_fun(X1,t_bool)),X4))))<=>![X3]:p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X3))),s(X1,X3))))),file('i/f/relation/RC__MONOTONE', ah4s_relations_reflexiveu_u_def)).
# SZS output end CNFRefutation
