# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_sc(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_sc(s(t_fun(X1,t_fun(X1,t_bool)),X2)))))=s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_sc(s(t_fun(X1,t_fun(X1,t_bool)),X2))),file('i/f/relation/SC__IDEM', ch4s_relations_SCu_u_IDEM)).
fof(2, axiom,![X3]:![X4]:![X5]:![X6]:(![X7]:s(X4,happ(s(t_fun(X3,X4),X5),s(X3,X7)))=s(X4,happ(s(t_fun(X3,X4),X6),s(X3,X7)))=>s(t_fun(X3,X4),X5)=s(t_fun(X3,X4),X6)),file('i/f/relation/SC__IDEM', aHLu_EXT)).
fof(12, axiom,![X16]:![X17]:![X18]:((p(s(t_bool,X18))<=>s(t_bool,X17)=s(t_bool,X16))<=>((p(s(t_bool,X18))|(p(s(t_bool,X17))|p(s(t_bool,X16))))&((p(s(t_bool,X18))|(~(p(s(t_bool,X16)))|~(p(s(t_bool,X17)))))&((p(s(t_bool,X17))|(~(p(s(t_bool,X16)))|~(p(s(t_bool,X18)))))&(p(s(t_bool,X16))|(~(p(s(t_bool,X17)))|~(p(s(t_bool,X18))))))))),file('i/f/relation/SC__IDEM', ah4s_sats_dcu_u_eq)).
fof(16, axiom,![X13]:![X14]:((p(s(t_bool,X14))=>p(s(t_bool,X13)))=>((p(s(t_bool,X13))=>p(s(t_bool,X14)))=>s(t_bool,X14)=s(t_bool,X13))),file('i/f/relation/SC__IDEM', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(44, axiom,![X1]:![X2]:(p(s(t_bool,h4s_relations_symmetric(s(t_fun(X1,t_fun(X1,t_bool)),X2))))=>s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_sc(s(t_fun(X1,t_fun(X1,t_bool)),X2)))=s(t_fun(X1,t_fun(X1,t_bool)),X2)),file('i/f/relation/SC__IDEM', ah4s_relations_symmetricu_u_SCu_u_identity)).
fof(45, axiom,![X1]:![X2]:p(s(t_bool,h4s_relations_symmetric(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_sc(s(t_fun(X1,t_fun(X1,t_bool)),X2)))))),file('i/f/relation/SC__IDEM', ah4s_relations_SCu_u_SYMMETRIC)).
# SZS output end CNFRefutation
