# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_quantheuristicss_guessu_u_existsu_u_gap(s(t_fun(X1,X2),X3),s(t_fun(X2,t_bool),X4))))=>p(s(t_bool,h4s_quantheuristicss_guessu_u_exists(s(t_fun(X1,X2),X3),s(t_fun(X2,t_bool),X4))))),file('i/f/quantHeuristics/GUESSES__WEAKEN__THM_c3', ch4s_quantHeuristicss_GUESSESu_u_WEAKENu_u_THMu_c3)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/quantHeuristics/GUESSES__WEAKEN__THM_c3', aHLu_FALSITY)).
fof(27, axiom,![X2]:![X1]:![X3]:![X4]:(p(s(t_bool,h4s_quantheuristicss_guessu_u_exists(s(t_fun(X1,X2),X3),s(t_fun(X2,t_bool),X4))))<=>![X22]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),X4),s(X2,X22))))=>?[X23]:p(s(t_bool,happ(s(t_fun(X2,t_bool),X4),s(X2,happ(s(t_fun(X1,X2),X3),s(X1,X23)))))))),file('i/f/quantHeuristics/GUESSES__WEAKEN__THM_c3', ah4s_quantHeuristicss_GUESSu_u_REWRITESu_c0)).
fof(28, axiom,![X1]:![X8]:![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,X8))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,h4s_mins_u_40(s(t_fun(X1,t_bool),X4))))))),file('i/f/quantHeuristics/GUESSES__WEAKEN__THM_c3', ah4s_bools_SELECTu_u_AX)).
fof(29, axiom,![X2]:![X1]:![X3]:![X4]:(p(s(t_bool,h4s_quantheuristicss_guessu_u_existsu_u_gap(s(t_fun(X1,X2),X3),s(t_fun(X2,t_bool),X4))))<=>![X22]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),X4),s(X2,X22))))=>?[X23]:s(X2,X22)=s(X2,happ(s(t_fun(X1,X2),X3),s(X1,X23))))),file('i/f/quantHeuristics/GUESSES__WEAKEN__THM_c3', ah4s_quantHeuristicss_GUESSu_u_REWRITESu_c4)).
fof(30, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/quantHeuristics/GUESSES__WEAKEN__THM_c3', aHLu_BOOLu_CASES)).
fof(32, axiom,![X1]:![X8]:s(t_bool,d_exists(s(t_fun(X1,t_bool),X8)))=s(t_bool,happ(s(t_fun(X1,t_bool),X8),s(X1,h4s_mins_u_40(s(t_fun(X1,t_bool),X8))))),file('i/f/quantHeuristics/GUESSES__WEAKEN__THM_c3', ah4s_bools_EXISTSu_u_DEF)).
fof(33, axiom,p(s(t_bool,t)),file('i/f/quantHeuristics/GUESSES__WEAKEN__THM_c3', aHLu_TRUTH)).
fof(37, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/quantHeuristics/GUESSES__WEAKEN__THM_c3', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
