# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/relation/EQC__R', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/relation/EQC__R', aHLu_FALSITY)).
fof(7, axiom,![X7]:![X8]:s(t_fun(X7,t_fun(X7,t_bool)),h4s_relations_eqc(s(t_fun(X7,t_fun(X7,t_bool)),X8)))=s(t_fun(X7,t_fun(X7,t_bool)),h4s_relations_rc(s(t_fun(X7,t_fun(X7,t_bool)),h4s_relations_tc(s(t_fun(X7,t_fun(X7,t_bool)),h4s_relations_sc(s(t_fun(X7,t_fun(X7,t_bool)),X8))))))),file('i/f/relation/EQC__R', ah4s_relations_EQCu_u_DEF)).
fof(14, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/relation/EQC__R', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(37, axiom,![X7]:![X10]:![X6]:![X8]:(p(s(t_bool,happ(s(t_fun(X7,t_bool),happ(s(t_fun(X7,t_fun(X7,t_bool)),h4s_relations_sc(s(t_fun(X7,t_fun(X7,t_bool)),X8))),s(X7,X6))),s(X7,X10))))<=>(p(s(t_bool,happ(s(t_fun(X7,t_bool),happ(s(t_fun(X7,t_fun(X7,t_bool)),X8),s(X7,X6))),s(X7,X10))))|p(s(t_bool,happ(s(t_fun(X7,t_bool),happ(s(t_fun(X7,t_fun(X7,t_bool)),X8),s(X7,X10))),s(X7,X6)))))),file('i/f/relation/EQC__R', ah4s_relations_SCu_u_DEF)).
fof(57, axiom,![X1]:(s(t_bool,X1)=s(t_bool,f)<=>~(p(s(t_bool,X1)))),file('i/f/relation/EQC__R', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(61, axiom,![X7]:![X8]:s(t_fun(X7,t_fun(X7,t_bool)),h4s_relations_rc(s(t_fun(X7,t_fun(X7,t_bool)),h4s_relations_tc(s(t_fun(X7,t_fun(X7,t_bool)),X8)))))=s(t_fun(X7,t_fun(X7,t_bool)),h4s_relations_rtc(s(t_fun(X7,t_fun(X7,t_bool)),X8))),file('i/f/relation/EQC__R', ah4s_relations_TCu_u_RCu_u_EQNSu_c0)).
fof(83, axiom,![X7]:![X10]:![X6]:![X8]:(p(s(t_bool,happ(s(t_fun(X7,t_bool),happ(s(t_fun(X7,t_fun(X7,t_bool)),X8),s(X7,X6))),s(X7,X10))))=>p(s(t_bool,happ(s(t_fun(X7,t_bool),happ(s(t_fun(X7,t_fun(X7,t_bool)),h4s_relations_rtc(s(t_fun(X7,t_fun(X7,t_bool)),X8))),s(X7,X6))),s(X7,X10))))),file('i/f/relation/EQC__R', ah4s_relations_RTCu_u_SINGLE)).
fof(133, conjecture,![X7]:![X10]:![X6]:![X8]:(p(s(t_bool,happ(s(t_fun(X7,t_bool),happ(s(t_fun(X7,t_fun(X7,t_bool)),X8),s(X7,X6))),s(X7,X10))))=>p(s(t_bool,happ(s(t_fun(X7,t_bool),happ(s(t_fun(X7,t_fun(X7,t_bool)),h4s_relations_eqc(s(t_fun(X7,t_fun(X7,t_bool)),X8))),s(X7,X6))),s(X7,X10))))),file('i/f/relation/EQC__R', ch4s_relations_EQCu_u_R)).
# SZS output end CNFRefutation
