# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(![X4]:![X5]:s(X2,happ(s(t_fun(X1,X2),happ(s(t_fun(X2,t_fun(X1,X2)),X3),s(X2,X4))),s(X1,X5)))=s(X2,X4)=>![X4]:![X6]:(p(s(t_bool,h4s_quantheuristicss_guessu_u_existsu_u_point(s(t_fun(X1,X2),happ(s(t_fun(X2,t_fun(X1,X2)),X3),s(X2,X4))),s(t_fun(X2,t_bool),X6))))=>(p(s(t_bool,h4s_bools_u_3fu_21(s(t_fun(X2,t_bool),X6))))<=>![X7]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),X6),s(X2,X7))))=>s(X2,X7)=s(X2,X4))))),file('i/f/quantHeuristics/GUESSES__UEXISTS__THM3', ch4s_quantHeuristicss_GUESSESu_u_UEXISTSu_u_THM3)).
fof(3, axiom,![X12]:![X13]:((p(s(t_bool,X13))=>p(s(t_bool,X12)))=>((p(s(t_bool,X12))=>p(s(t_bool,X13)))=>s(t_bool,X13)=s(t_bool,X12))),file('i/f/quantHeuristics/GUESSES__UEXISTS__THM3', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(33, axiom,![X2]:![X26]:![X6]:(?[X5]:(s(X2,X5)=s(X2,X26)&p(s(t_bool,happ(s(t_fun(X2,t_bool),X6),s(X2,X5)))))<=>p(s(t_bool,happ(s(t_fun(X2,t_bool),X6),s(X2,X26))))),file('i/f/quantHeuristics/GUESSES__UEXISTS__THM3', ah4s_bools_UNWINDu_u_THM2)).
fof(49, axiom,![X2]:![X5]:(p(s(t_bool,h4s_bools_u_3fu_21(s(t_fun(X2,t_bool),X5))))<=>(p(s(t_bool,d_exists(s(t_fun(X2,t_bool),X5))))&![X30]:![X15]:((p(s(t_bool,happ(s(t_fun(X2,t_bool),X5),s(X2,X30))))&p(s(t_bool,happ(s(t_fun(X2,t_bool),X5),s(X2,X15)))))=>s(X2,X30)=s(X2,X15)))),file('i/f/quantHeuristics/GUESSES__UEXISTS__THM3', ah4s_bools_EXISTSu_u_UNIQUEu_u_DEF)).
fof(57, axiom,![X1]:![X2]:![X4]:![X6]:(p(s(t_bool,h4s_quantheuristicss_guessu_u_existsu_u_point(s(t_fun(X2,X1),X4),s(t_fun(X1,t_bool),X6))))<=>![X38]:p(s(t_bool,happ(s(t_fun(X1,t_bool),X6),s(X1,happ(s(t_fun(X2,X1),X4),s(X2,X38))))))),file('i/f/quantHeuristics/GUESSES__UEXISTS__THM3', ah4s_quantHeuristicss_GUESSu_u_EXISTSu_u_POINTu_u_def)).
fof(58, axiom,![X2]:![X1]:![X4]:![X6]:(p(s(t_bool,h4s_quantheuristicss_guessu_u_existsu_u_point(s(t_fun(X2,X1),X4),s(t_fun(X1,t_bool),X6))))=>(?[X7]:p(s(t_bool,happ(s(t_fun(X1,t_bool),X6),s(X1,X7))))<=>p(s(t_bool,t)))),file('i/f/quantHeuristics/GUESSES__UEXISTS__THM3', ah4s_quantHeuristicss_GUESSu_u_POINTu_u_THMu_c0)).
fof(59, axiom,![X2]:![X1]:![X4]:![X6]:(p(s(t_bool,h4s_quantheuristicss_guessu_u_existsu_u_point(s(t_fun(X2,X1),X4),s(t_fun(X1,t_bool),X6))))=>s(t_bool,d_exists(s(t_fun(X1,t_bool),X6)))=s(t_bool,t)),file('i/f/quantHeuristics/GUESSES__UEXISTS__THM3', ah4s_quantHeuristicss_GUESSu_u_EXISTSu_u_POINTu_u_THM)).
fof(62, axiom,![X2]:![X10]:(p(s(t_bool,d_exists(s(t_fun(X2,t_bool),X10))))<=>?[X5]:p(s(t_bool,happ(s(t_fun(X2,t_bool),X10),s(X2,X5))))),file('i/f/quantHeuristics/GUESSES__UEXISTS__THM3', ah4s_bools_EXISTSu_u_THM)).
# SZS output end CNFRefutation
