# 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(X1,t_bool),happ(s(t_fun(t_fun(X1,t_fun(X2,t_bool)),t_fun(X1,t_bool)),X3),s(t_fun(X1,t_fun(X2,t_bool)),X4))),s(X1,X5))))<=>?[X6]:p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),X4),s(X1,X5))),s(X2,X6)))))=>![X7]:(![X4]:![X6]:![X5]:s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X2,t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_fun(X2,t_bool)),t_fun(X2,t_fun(X1,t_bool))),X7),s(t_fun(X1,t_fun(X2,t_bool)),X4))),s(X2,X6))),s(X1,X5)))=s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),X4),s(X1,X5))),s(X2,X6)))=>![X8]:(![X9]:![X10]:s(X1,happ(s(t_fun(t_h4s_ones_one,X1),happ(s(t_fun(X1,t_fun(t_h4s_ones_one,X1)),X8),s(X1,X9))),s(t_h4s_ones_one,X10)))=s(X1,X9)=>![X9]:![X4]:(![X6]:p(s(t_bool,h4s_quantheuristicss_guessu_u_forall(s(t_fun(t_h4s_ones_one,X1),happ(s(t_fun(X1,t_fun(t_h4s_ones_one,X1)),X8),s(X1,X9))),s(t_fun(X1,t_bool),happ(s(t_fun(X2,t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_fun(X2,t_bool)),t_fun(X2,t_fun(X1,t_bool))),X7),s(t_fun(X1,t_fun(X2,t_bool)),X4))),s(X2,X6))))))=>p(s(t_bool,h4s_quantheuristicss_guessu_u_forall(s(t_fun(t_h4s_ones_one,X1),happ(s(t_fun(X1,t_fun(t_h4s_ones_one,X1)),X8),s(X1,X9))),s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_fun(X2,t_bool)),t_fun(X1,t_bool)),X3),s(t_fun(X1,t_fun(X2,t_bool)),X4)))))))))),file('i/f/quantHeuristics/GUESS__RULES__EXISTS_c4', ch4s_quantHeuristicss_GUESSu_u_RULESu_u_EXISTSu_c4)).
fof(4, axiom,![X16]:![X2]:![X17]:![X4]:(p(s(t_bool,h4s_quantheuristicss_guessu_u_forall(s(t_fun(X2,X16),X17),s(t_fun(X16,t_bool),X4))))<=>![X18]:(~(p(s(t_bool,happ(s(t_fun(X16,t_bool),X4),s(X16,X18)))))=>?[X19]:~(p(s(t_bool,happ(s(t_fun(X16,t_bool),X4),s(X16,happ(s(t_fun(X2,X16),X17),s(X2,X19))))))))),file('i/f/quantHeuristics/GUESS__RULES__EXISTS_c4', ah4s_quantHeuristicss_GUESSu_u_REWRITESu_c1)).
fof(10, axiom,![X14]:![X15]:((p(s(t_bool,X15))=>p(s(t_bool,X14)))=>((p(s(t_bool,X14))=>p(s(t_bool,X15)))=>s(t_bool,X15)=s(t_bool,X14))),file('i/f/quantHeuristics/GUESS__RULES__EXISTS_c4', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(19, axiom,![X16]:![X2]:![X17]:![X4]:(p(s(t_bool,h4s_quantheuristicss_guessu_u_forall(s(t_fun(X2,X16),X17),s(t_fun(X16,t_bool),X4))))<=>(![X18]:p(s(t_bool,happ(s(t_fun(X16,t_bool),X4),s(X16,X18))))<=>![X19]:p(s(t_bool,happ(s(t_fun(X16,t_bool),X4),s(X16,happ(s(t_fun(X2,X16),X17),s(X2,X19)))))))),file('i/f/quantHeuristics/GUESS__RULES__EXISTS_c4', ah4s_quantHeuristicss_GUESSu_u_FORALLu_u_def)).
fof(80, axiom,p(s(t_bool,t)),file('i/f/quantHeuristics/GUESS__RULES__EXISTS_c4', aHLu_TRUTH)).
fof(81, axiom,![X20]:(s(t_bool,X20)=s(t_bool,t)|s(t_bool,X20)=s(t_bool,f)),file('i/f/quantHeuristics/GUESS__RULES__EXISTS_c4', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
