# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/quantHeuristics/GUESS__EXISTS__FORALL__REWRITES_c1', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/quantHeuristics/GUESS__EXISTS__FORALL__REWRITES_c1', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/quantHeuristics/GUESS__EXISTS__FORALL__REWRITES_c1', aHLu_BOOLu_CASES)).
fof(5, axiom,![X7]:![X8]:![X9]:![X10]:(p(s(t_bool,h4s_quantheuristicss_guessu_u_forall(s(t_fun(X8,X7),X9),s(t_fun(X7,t_bool),X10))))<=>(![X11]:p(s(t_bool,happ(s(t_fun(X7,t_bool),X10),s(X7,X11))))<=>![X12]:p(s(t_bool,happ(s(t_fun(X7,t_bool),X10),s(X7,happ(s(t_fun(X8,X7),X9),s(X8,X12)))))))),file('i/f/quantHeuristics/GUESS__EXISTS__FORALL__REWRITES_c1', ah4s_quantHeuristicss_GUESSu_u_FORALLu_u_def)).
fof(25, axiom,![X1]:(s(t_bool,t)=s(t_bool,X1)<=>p(s(t_bool,X1))),file('i/f/quantHeuristics/GUESS__EXISTS__FORALL__REWRITES_c1', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(26, axiom,![X28]:![X29]:((p(s(t_bool,X29))=>p(s(t_bool,X28)))=>((p(s(t_bool,X28))=>p(s(t_bool,X29)))=>s(t_bool,X29)=s(t_bool,X28))),file('i/f/quantHeuristics/GUESS__EXISTS__FORALL__REWRITES_c1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(31, axiom,![X1]:(s(t_bool,f)=s(t_bool,X1)<=>~(p(s(t_bool,X1)))),file('i/f/quantHeuristics/GUESS__EXISTS__FORALL__REWRITES_c1', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(49, axiom,![X8]:![X6]:s(t_bool,d_exists(s(t_fun(X8,t_bool),X6)))=s(t_bool,happ(s(t_fun(X8,t_bool),X6),s(X8,h4s_mins_u_40(s(t_fun(X8,t_bool),X6))))),file('i/f/quantHeuristics/GUESS__EXISTS__FORALL__REWRITES_c1', ah4s_bools_EXISTSu_u_DEF)).
fof(99, axiom,![X8]:![X6]:![X13]:s(t_bool,h4s_bools_in(s(X8,X6),s(t_fun(X8,t_bool),X13)))=s(t_bool,happ(s(t_fun(X8,t_bool),X13),s(X8,X6))),file('i/f/quantHeuristics/GUESS__EXISTS__FORALL__REWRITES_c1', ah4s_bools_INu_u_DEF)).
fof(117, axiom,![X8]:![X20]:s(t_fun(X8,t_bool),h4s_predu_u_sets_diff(s(t_fun(X8,t_bool),X20),s(t_fun(X8,t_bool),h4s_predu_u_sets_empty)))=s(t_fun(X8,t_bool),X20),file('i/f/quantHeuristics/GUESS__EXISTS__FORALL__REWRITES_c1', ah4s_predu_u_sets_DIFFu_u_EMPTY)).
fof(118, axiom,![X8]:![X6]:![X1]:![X20]:(p(s(t_bool,h4s_bools_in(s(X8,X6),s(t_fun(X8,t_bool),h4s_predu_u_sets_diff(s(t_fun(X8,t_bool),X20),s(t_fun(X8,t_bool),X1))))))<=>(p(s(t_bool,h4s_bools_in(s(X8,X6),s(t_fun(X8,t_bool),X20))))&~(p(s(t_bool,h4s_bools_in(s(X8,X6),s(t_fun(X8,t_bool),X1))))))),file('i/f/quantHeuristics/GUESS__EXISTS__FORALL__REWRITES_c1', ah4s_predu_u_sets_INu_u_DIFF)).
fof(133, conjecture,![X7]:![X8]:![X9]:![X10]:(p(s(t_bool,h4s_quantheuristicss_guessu_u_forall(s(t_fun(X8,X7),X9),s(t_fun(X7,t_bool),X10))))<=>![X11]:(~(p(s(t_bool,happ(s(t_fun(X7,t_bool),X10),s(X7,X11)))))=>?[X12]:~(p(s(t_bool,happ(s(t_fun(X7,t_bool),X10),s(X7,happ(s(t_fun(X8,X7),X9),s(X8,X12))))))))),file('i/f/quantHeuristics/GUESS__EXISTS__FORALL__REWRITES_c1', ch4s_quantHeuristicss_GUESSu_u_EXISTSu_u_FORALLu_u_REWRITESu_c1)).
# SZS output end CNFRefutation
