# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(![X4]:![X5]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(t_fun(X2,t_bool),t_fun(X2,t_bool)),X3),s(t_fun(X2,t_bool),X4))),s(X2,X5))))<=>~(p(s(t_bool,happ(s(t_fun(X2,t_bool),X4),s(X2,X5))))))=>![X6]:(![X4]:![X5]:s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(t_fun(X2,t_bool),t_fun(X2,t_bool)),X6),s(t_fun(X2,t_bool),X4))),s(X2,X5)))=s(t_bool,happ(s(t_fun(X2,t_bool),X4),s(X2,X5)))=>![X7]:![X4]:(p(s(t_bool,h4s_quantheuristicss_guessu_u_forall(s(t_fun(X1,X2),X7),s(t_fun(X2,t_bool),happ(s(t_fun(t_fun(X2,t_bool),t_fun(X2,t_bool)),X6),s(t_fun(X2,t_bool),X4))))))=>p(s(t_bool,h4s_quantheuristicss_guessu_u_exists(s(t_fun(X1,X2),X7),s(t_fun(X2,t_bool),happ(s(t_fun(t_fun(X2,t_bool),t_fun(X2,t_bool)),X6),s(t_fun(X2,t_bool),happ(s(t_fun(t_fun(X2,t_bool),t_fun(X2,t_bool)),X3),s(t_fun(X2,t_bool),X4))))))))))),file('i/f/quantHeuristics/GUESS__RULES__NEG_c3', ch4s_quantHeuristicss_GUESSu_u_RULESu_u_NEGu_c3)).
fof(5, axiom,![X1]:![X2]:![X3]:(![X4]:![X5]:s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(t_fun(X2,t_bool),t_fun(X2,t_bool)),X3),s(t_fun(X2,t_bool),X4))),s(X2,X5)))=s(t_bool,happ(s(t_fun(X2,t_bool),X4),s(X2,X5)))=>![X6]:(![X4]:![X5]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(t_fun(X2,t_bool),t_fun(X2,t_bool)),X6),s(t_fun(X2,t_bool),X4))),s(X2,X5))))<=>~(p(s(t_bool,happ(s(t_fun(X2,t_bool),X4),s(X2,X5))))))=>![X7]:![X4]:s(t_bool,h4s_quantheuristicss_guessu_u_exists(s(t_fun(X1,X2),X7),s(t_fun(X2,t_bool),happ(s(t_fun(t_fun(X2,t_bool),t_fun(X2,t_bool)),X6),s(t_fun(X2,t_bool),X4)))))=s(t_bool,h4s_quantheuristicss_guessu_u_forall(s(t_fun(X1,X2),X7),s(t_fun(X2,t_bool),happ(s(t_fun(t_fun(X2,t_bool),t_fun(X2,t_bool)),X3),s(t_fun(X2,t_bool),X4))))))),file('i/f/quantHeuristics/GUESS__RULES__NEG_c3', ah4s_quantHeuristicss_GUESSESu_u_NEGu_u_REWRITEu_c0)).
fof(6, axiom,![X1]:![X2]:![X3]:(![X4]:![X5]:s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(t_fun(X2,t_bool),t_fun(X2,t_bool)),X3),s(t_fun(X2,t_bool),X4))),s(X2,X5)))=s(t_bool,happ(s(t_fun(X2,t_bool),X4),s(X2,X5)))=>![X6]:(![X4]:![X5]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(t_fun(X2,t_bool),t_fun(X2,t_bool)),X6),s(t_fun(X2,t_bool),X4))),s(X2,X5))))<=>~(p(s(t_bool,happ(s(t_fun(X2,t_bool),X4),s(X2,X5))))))=>![X7]:![X4]:s(t_bool,h4s_quantheuristicss_guessu_u_forall(s(t_fun(X1,X2),X7),s(t_fun(X2,t_bool),happ(s(t_fun(t_fun(X2,t_bool),t_fun(X2,t_bool)),X6),s(t_fun(X2,t_bool),X4)))))=s(t_bool,h4s_quantheuristicss_guessu_u_exists(s(t_fun(X1,X2),X7),s(t_fun(X2,t_bool),happ(s(t_fun(t_fun(X2,t_bool),t_fun(X2,t_bool)),X3),s(t_fun(X2,t_bool),X4))))))),file('i/f/quantHeuristics/GUESS__RULES__NEG_c3', ah4s_quantHeuristicss_GUESSESu_u_NEGu_u_REWRITEu_c1)).
fof(7, axiom,![X14]:![X15]:![X16]:![X17]:(![X5]:s(X15,happ(s(t_fun(X14,X15),X16),s(X14,X5)))=s(X15,happ(s(t_fun(X14,X15),X17),s(X14,X5)))=>s(t_fun(X14,X15),X16)=s(t_fun(X14,X15),X17)),file('i/f/quantHeuristics/GUESS__RULES__NEG_c3', aHLu_EXT)).
# SZS output end CNFRefutation
