# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(![X4]:![X5]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X3),s(X2,X4))),s(X2,X5))))<=>s(X2,X5)=s(X2,X4))=>![X4]:![X6]:(![X5]:(s(X2,X5)=s(X2,X4)|?[X7]:s(X2,X5)=s(X2,happ(s(t_fun(X1,X2),X6),s(X1,X7))))=>p(s(t_bool,h4s_quantheuristicss_guessu_u_forallu_u_gap(s(t_fun(X1,X2),X6),s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X3),s(X2,X4)))))))),file('i/f/quantHeuristics/GUESS__RULES__TWO__CASES', ch4s_quantHeuristicss_GUESSu_u_RULESu_u_TWOu_u_CASES)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/quantHeuristics/GUESS__RULES__TWO__CASES', aHLu_FALSITY)).
fof(3, axiom,![X8]:![X9]:((p(s(t_bool,X9))=>p(s(t_bool,X8)))=>((p(s(t_bool,X8))=>p(s(t_bool,X9)))=>s(t_bool,X9)=s(t_bool,X8))),file('i/f/quantHeuristics/GUESS__RULES__TWO__CASES', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(30, axiom,(p(s(t_bool,f))<=>![X13]:p(s(t_bool,X13))),file('i/f/quantHeuristics/GUESS__RULES__TWO__CASES', ah4s_bools_Fu_u_DEF)).
fof(64, axiom,![X1]:![X2]:![X28]:![X21]:(p(s(t_bool,h4s_quantheuristicss_guessu_u_forallu_u_gap(s(t_fun(X2,X1),X28),s(t_fun(X1,t_bool),X21))))<=>![X14]:(~(p(s(t_bool,happ(s(t_fun(X1,t_bool),X21),s(X1,X14)))))=>?[X7]:s(X1,X14)=s(X1,happ(s(t_fun(X2,X1),X28),s(X2,X7))))),file('i/f/quantHeuristics/GUESS__RULES__TWO__CASES', ah4s_quantHeuristicss_GUESSu_u_FORALLu_u_GAPu_u_def)).
fof(72, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/quantHeuristics/GUESS__RULES__TWO__CASES', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
