# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(![X5]:![X6]:s(X3,happ(s(t_fun(X2,X3),happ(s(t_fun(X3,t_fun(X2,X3)),X4),s(X3,X5))),s(X2,X6)))=s(X3,X5)=>![X7]:(![X5]:![X6]:s(X3,happ(s(t_fun(X1,X3),happ(s(t_fun(X3,t_fun(X1,X3)),X7),s(X3,X5))),s(X1,X6)))=s(X3,X5)=>![X5]:![X8]:(p(s(t_bool,h4s_quantheuristicss_guessu_u_existsu_u_point(s(t_fun(X1,X3),happ(s(t_fun(X3,t_fun(X1,X3)),X7),s(X3,X5))),s(t_fun(X3,t_bool),X8))))=>(p(s(t_bool,h4s_quantheuristicss_guessu_u_existsu_u_gap(s(t_fun(X2,X3),happ(s(t_fun(X3,t_fun(X2,X3)),X4),s(X3,X5))),s(t_fun(X3,t_bool),X8))))=>s(t_bool,h4s_bools_u_3fu_21(s(t_fun(X3,t_bool),X8)))=s(t_bool,t))))),file('i/f/quantHeuristics/GUESSES__UEXISTS__THM4', ch4s_quantHeuristicss_GUESSESu_u_UEXISTSu_u_THM4)).
fof(42, axiom,p(s(t_bool,t)),file('i/f/quantHeuristics/GUESSES__UEXISTS__THM4', aHLu_TRUTH)).
fof(43, axiom,![X19]:(s(t_bool,X19)=s(t_bool,t)|s(t_bool,X19)=s(t_bool,f)),file('i/f/quantHeuristics/GUESSES__UEXISTS__THM4', aHLu_BOOLu_CASES)).
fof(45, axiom,![X19]:(s(t_bool,X19)=s(t_bool,t)<=>p(s(t_bool,X19))),file('i/f/quantHeuristics/GUESSES__UEXISTS__THM4', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(59, axiom,![X1]:![X3]:![X7]:(![X5]:![X6]:s(X3,happ(s(t_fun(X1,X3),happ(s(t_fun(X3,t_fun(X1,X3)),X7),s(X3,X5))),s(X1,X6)))=s(X3,X5)=>![X5]:![X8]:(p(s(t_bool,h4s_quantheuristicss_guessu_u_existsu_u_gap(s(t_fun(X1,X3),happ(s(t_fun(X3,t_fun(X1,X3)),X7),s(X3,X5))),s(t_fun(X3,t_bool),X8))))=>s(t_bool,h4s_bools_u_3fu_21(s(t_fun(X3,t_bool),X8)))=s(t_bool,happ(s(t_fun(X3,t_bool),X8),s(X3,X5))))),file('i/f/quantHeuristics/GUESSES__UEXISTS__THM4', ah4s_quantHeuristicss_GUESSESu_u_UEXISTSu_u_THM2)).
fof(70, axiom,![X1]:![X3]:![X5]:![X8]:(p(s(t_bool,h4s_quantheuristicss_guessu_u_existsu_u_point(s(t_fun(X3,X1),X5),s(t_fun(X1,t_bool),X8))))<=>![X38]:p(s(t_bool,happ(s(t_fun(X1,t_bool),X8),s(X1,happ(s(t_fun(X3,X1),X5),s(X3,X38))))))),file('i/f/quantHeuristics/GUESSES__UEXISTS__THM4', ah4s_quantHeuristicss_GUESSu_u_EXISTSu_u_POINTu_u_def)).
fof(78, axiom,![X19]:(s(t_bool,f)=s(t_bool,X19)<=>~(p(s(t_bool,X19)))),file('i/f/quantHeuristics/GUESSES__UEXISTS__THM4', ah4s_bools_EQu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
