# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_llists_every(s(t_fun(X1,t_bool),X4),s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X3),s(t_h4s_llists_llist(X1),X2))))))<=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,X3))))&p(s(t_bool,h4s_llists_every(s(t_fun(X1,t_bool),X4),s(t_h4s_llists_llist(X1),X2)))))),file('i/f/llist/LL__ALL__THM_c1', ch4s_llists_LLu_u_ALLu_u_THMu_c1)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/llist/LL__ALL__THM_c1', aHLu_TRUTH)).
fof(7, axiom,![X2]:(s(t_bool,t0)=s(t_bool,X2)<=>p(s(t_bool,X2))),file('i/f/llist/LL__ALL__THM_c1', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(24, axiom,![X1]:![X21]:![X4]:(?[X5]:(s(X1,X5)=s(X1,X21)&p(s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,X5)))))<=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,X21))))),file('i/f/llist/LL__ALL__THM_c1', ah4s_bools_UNWINDu_u_THM2)).
fof(52, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_llists_every(s(t_fun(X1,t_bool),X4),s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X3),s(t_h4s_llists_llist(X1),X2))))))<=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,X3))))&p(s(t_bool,h4s_llists_every(s(t_fun(X1,t_bool),X4),s(t_h4s_llists_llist(X1),X2)))))),file('i/f/llist/LL__ALL__THM_c1', ah4s_llists_everyu_u_thmu_c1)).
fof(73, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)|s(t_bool,X2)=s(t_bool,f)),file('i/f/llist/LL__ALL__THM_c1', aHLu_BOOLu_CASES)).
fof(74, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t0))),file('i/f/llist/LL__ALL__THM_c1', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
