# 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_tc(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X2)))))=s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X2))),file('i/f/relation/TC__IDEM', ch4s_relations_TCu_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/TC__IDEM', aHLu_EXT)).
fof(4, axiom,![X10]:![X8]:![X9]:((p(s(t_bool,X9))<=>s(t_bool,X8)=s(t_bool,X10))<=>((p(s(t_bool,X9))|(p(s(t_bool,X8))|p(s(t_bool,X10))))&((p(s(t_bool,X9))|(~(p(s(t_bool,X10)))|~(p(s(t_bool,X8)))))&((p(s(t_bool,X8))|(~(p(s(t_bool,X10)))|~(p(s(t_bool,X9)))))&(p(s(t_bool,X10))|(~(p(s(t_bool,X8)))|~(p(s(t_bool,X9))))))))),file('i/f/relation/TC__IDEM', ah4s_sats_dcu_u_eq)).
fof(11, 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/TC__IDEM', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(46, axiom,![X1]:![X2]:(p(s(t_bool,h4s_relations_transitive(s(t_fun(X1,t_fun(X1,t_bool)),X2))))=>s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X2)))=s(t_fun(X1,t_fun(X1,t_bool)),X2)),file('i/f/relation/TC__IDEM', ah4s_relations_transitiveu_u_TCu_u_identity)).
fof(47, axiom,![X1]:![X2]:p(s(t_bool,h4s_relations_transitive(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X2)))))),file('i/f/relation/TC__IDEM', ah4s_relations_TCu_u_TRANSITIVE)).
# SZS output end CNFRefutation
