# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(![X5]:![X6]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(t_fun(X2,t_fun(X3,t_bool)),t_fun(X2,t_bool)),X4),s(t_fun(X2,t_fun(X3,t_bool)),X5))),s(X2,X6))))<=>![X7]:p(s(t_bool,happ(s(t_fun(X3,t_bool),happ(s(t_fun(X2,t_fun(X3,t_bool)),X5),s(X2,X6))),s(X3,X7)))))=>![X8]:(![X9]:![X10]:s(X2,happ(s(t_fun(t_h4s_pairs_prod(X3,X1),X2),happ(s(t_fun(t_fun(X3,t_fun(X1,X2)),t_fun(t_h4s_pairs_prod(X3,X1),X2)),X8),s(t_fun(X3,t_fun(X1,X2)),X9))),s(t_h4s_pairs_prod(X3,X1),X10)))=s(X2,happ(s(t_fun(X1,X2),happ(s(t_fun(X3,t_fun(X1,X2)),X9),s(X3,h4s_pairs_fst(s(t_h4s_pairs_prod(X3,X1),X10))))),s(X1,h4s_pairs_snd(s(t_h4s_pairs_prod(X3,X1),X10)))))=>![X11]:(![X5]:![X7]:![X6]:s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X3,t_fun(X2,t_bool)),happ(s(t_fun(t_fun(X2,t_fun(X3,t_bool)),t_fun(X3,t_fun(X2,t_bool))),X11),s(t_fun(X2,t_fun(X3,t_bool)),X5))),s(X3,X7))),s(X2,X6)))=s(t_bool,happ(s(t_fun(X3,t_bool),happ(s(t_fun(X2,t_fun(X3,t_bool)),X5),s(X2,X6))),s(X3,X7)))=>![X9]:![X5]:(![X7]:p(s(t_bool,h4s_quantheuristicss_guessu_u_forallu_u_point(s(t_fun(X1,X2),happ(s(t_fun(X3,t_fun(X1,X2)),X9),s(X3,X7))),s(t_fun(X2,t_bool),happ(s(t_fun(X3,t_fun(X2,t_bool)),happ(s(t_fun(t_fun(X2,t_fun(X3,t_bool)),t_fun(X3,t_fun(X2,t_bool))),X11),s(t_fun(X2,t_fun(X3,t_bool)),X5))),s(X3,X7))))))=>p(s(t_bool,h4s_quantheuristicss_guessu_u_forallu_u_point(s(t_fun(t_h4s_pairs_prod(X3,X1),X2),happ(s(t_fun(t_fun(X3,t_fun(X1,X2)),t_fun(t_h4s_pairs_prod(X3,X1),X2)),X8),s(t_fun(X3,t_fun(X1,X2)),X9))),s(t_fun(X2,t_bool),happ(s(t_fun(t_fun(X2,t_fun(X3,t_bool)),t_fun(X2,t_bool)),X4),s(t_fun(X2,t_fun(X3,t_bool)),X5)))))))))),file('i/f/quantHeuristics/GUESS__RULES__FORALL______NEW__FV_c0', ch4s_quantHeuristicss_GUESSu_u_RULESu_u_FORALLu_u_u_u_u_u_NEWu_u_FVu_c0)).
fof(2, 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/GUESS__RULES__FORALL______NEW__FV_c0', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(16, axiom,![X1]:![X3]:![X21]:![X5]:(p(s(t_bool,h4s_quantheuristicss_guessu_u_forallu_u_point(s(t_fun(X3,X1),X21),s(t_fun(X1,t_bool),X5))))<=>![X10]:~(p(s(t_bool,happ(s(t_fun(X1,t_bool),X5),s(X1,happ(s(t_fun(X3,X1),X21),s(X3,X10)))))))),file('i/f/quantHeuristics/GUESS__RULES__FORALL______NEW__FV_c0', ah4s_quantHeuristicss_GUESSu_u_REWRITESu_c3)).
fof(19, axiom,![X3]:![X1]:![X7]:![X6]:s(X1,h4s_pairs_snd(s(t_h4s_pairs_prod(X3,X1),h4s_pairs_u_2c(s(X3,X6),s(X1,X7)))))=s(X1,X7),file('i/f/quantHeuristics/GUESS__RULES__FORALL______NEW__FV_c0', ah4s_pairs_SND0)).
fof(20, axiom,![X1]:![X3]:![X7]:![X6]:s(X3,h4s_pairs_fst(s(t_h4s_pairs_prod(X3,X1),h4s_pairs_u_2c(s(X3,X6),s(X1,X7)))))=s(X3,X6),file('i/f/quantHeuristics/GUESS__RULES__FORALL______NEW__FV_c0', ah4s_pairs_FST0)).
# SZS output end CNFRefutation
