# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(![X4]:![X5]:s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(t_bool,t_fun(X2,t_bool)),X3),s(t_bool,X4))),s(X2,X5)))=s(t_bool,X4)=>![X4]:![X6]:s(t_bool,h4s_quantheuristicss_guessu_u_forall(s(t_fun(X1,X2),X6),s(t_fun(X2,t_bool),happ(s(t_fun(t_bool,t_fun(X2,t_bool)),X3),s(t_bool,X4)))))=s(t_bool,t)),file('i/f/quantHeuristics/GUESS__RULES__CONSTANT__FORALL', ch4s_quantHeuristicss_GUESSu_u_RULESu_u_CONSTANTu_u_FORALL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/quantHeuristics/GUESS__RULES__CONSTANT__FORALL', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/quantHeuristics/GUESS__RULES__CONSTANT__FORALL', aHLu_FALSITY)).
fof(4, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/quantHeuristics/GUESS__RULES__CONSTANT__FORALL', aHLu_BOOLu_CASES)).
fof(12, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/quantHeuristics/GUESS__RULES__CONSTANT__FORALL', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(34, axiom,(p(s(t_bool,f))<=>![X7]:p(s(t_bool,X7))),file('i/f/quantHeuristics/GUESS__RULES__CONSTANT__FORALL', ah4s_bools_Fu_u_DEF)).
fof(52, axiom,![X7]:(s(t_bool,f)=s(t_bool,X7)<=>~(p(s(t_bool,X7)))),file('i/f/quantHeuristics/GUESS__RULES__CONSTANT__FORALL', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(79, axiom,![X1]:![X2]:![X3]:(![X4]:![X5]:s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(t_bool,t_fun(X2,t_bool)),X3),s(t_bool,X4))),s(X2,X5)))=s(t_bool,X4)=>![X4]:![X6]:s(t_bool,h4s_quantheuristicss_guessu_u_exists(s(t_fun(X1,X2),X6),s(t_fun(X2,t_bool),happ(s(t_fun(t_bool,t_fun(X2,t_bool)),X3),s(t_bool,X4)))))=s(t_bool,t)),file('i/f/quantHeuristics/GUESS__RULES__CONSTANT__FORALL', ah4s_quantHeuristicss_GUESSu_u_RULESu_u_CONSTANTu_u_EXISTS)).
fof(81, axiom,![X2]:![X1]:![X6]:![X23]:(p(s(t_bool,h4s_quantheuristicss_guessu_u_forall(s(t_fun(X1,X2),X6),s(t_fun(X2,t_bool),X23))))<=>![X28]:(~(p(s(t_bool,happ(s(t_fun(X2,t_bool),X23),s(X2,X28)))))=>?[X29]:~(p(s(t_bool,happ(s(t_fun(X2,t_bool),X23),s(X2,happ(s(t_fun(X1,X2),X6),s(X1,X29))))))))),file('i/f/quantHeuristics/GUESS__RULES__CONSTANT__FORALL', ah4s_quantHeuristicss_GUESSu_u_EXISTSu_u_FORALLu_u_REWRITESu_c1)).
# SZS output end CNFRefutation
