# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/quote/index__distinct_c0', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/quote/index__distinct_c0', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/quote/index__distinct_c0', aHLu_BOOLu_CASES)).
fof(7, axiom,s(t_fun(t_h4s_quotes_index,t_h4s_quotes_index),h4s_quotes_rightu_u_idx)=s(t_fun(t_h4s_quotes_index,t_h4s_quotes_index),h4s_quotes_u_20u_40indu_u_typequote1),file('i/f/quote/index__distinct_c0', ah4s_quotes_Rightu_u_idx0)).
fof(8, axiom,s(t_fun(t_h4s_quotes_index,t_h4s_quotes_index),h4s_quotes_leftu_u_idx)=s(t_fun(t_h4s_quotes_index,t_h4s_quotes_index),h4s_quotes_u_20u_40indu_u_typequote0),file('i/f/quote/index__distinct_c0', ah4s_quotes_Leftu_u_idx0)).
fof(13, axiom,![X7]:![X12]:![X13]:![X4]:![X10]:s(X7,h4s_quotes_indexu_u_case(s(t_h4s_quotes_index,happ(s(t_fun(t_h4s_quotes_index,t_h4s_quotes_index),h4s_quotes_rightu_u_idx),s(t_h4s_quotes_index,X10))),s(t_fun(t_h4s_quotes_index,X7),X4),s(t_fun(t_h4s_quotes_index,X7),X13),s(X7,X12)))=s(X7,happ(s(t_fun(t_h4s_quotes_index,X7),X13),s(t_h4s_quotes_index,X10))),file('i/f/quote/index__distinct_c0', ah4s_quotes_indexu_u_caseu_u_defu_c1)).
fof(15, axiom,![X14]:![X10]:(s(t_h4s_quotes_index,happ(s(t_fun(t_h4s_quotes_index,t_h4s_quotes_index),h4s_quotes_leftu_u_idx),s(t_h4s_quotes_index,X10)))=s(t_h4s_quotes_index,happ(s(t_fun(t_h4s_quotes_index,t_h4s_quotes_index),h4s_quotes_leftu_u_idx),s(t_h4s_quotes_index,X14)))<=>s(t_h4s_quotes_index,X10)=s(t_h4s_quotes_index,X14)),file('i/f/quote/index__distinct_c0', ah4s_quotes_indexu_u_11u_c0)).
fof(16, axiom,![X7]:![X12]:![X13]:![X4]:![X10]:s(X7,h4s_quotes_indexu_u_case(s(t_h4s_quotes_index,happ(s(t_fun(t_h4s_quotes_index,t_h4s_quotes_index),h4s_quotes_leftu_u_idx),s(t_h4s_quotes_index,X10))),s(t_fun(t_h4s_quotes_index,X7),X4),s(t_fun(t_h4s_quotes_index,X7),X13),s(X7,X12)))=s(X7,happ(s(t_fun(t_h4s_quotes_index,X7),X4),s(t_h4s_quotes_index,X10))),file('i/f/quote/index__distinct_c0', ah4s_quotes_indexu_u_caseu_u_defu_c0)).
fof(53, axiom,![X7]:![X22]:![X6]:![X37]:(p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),h4s_predu_u_sets_insert(s(X7,X22),s(t_fun(X7,t_bool),X37))))))<=>(s(X7,X6)=s(X7,X22)|p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),X37)))))),file('i/f/quote/index__distinct_c0', ah4s_predu_u_sets_INu_u_INSERT)).
fof(54, axiom,![X7]:![X6]:~(p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),h4s_predu_u_sets_empty))))),file('i/f/quote/index__distinct_c0', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(120, axiom,![X7]:![X6]:![X52]:s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),X52)))=s(t_bool,happ(s(t_fun(X7,t_bool),X52),s(X7,X6))),file('i/f/quote/index__distinct_c0', ah4s_bools_INu_u_DEF)).
fof(133, conjecture,![X14]:![X10]:~(s(t_h4s_quotes_index,happ(s(t_fun(t_h4s_quotes_index,t_h4s_quotes_index),h4s_quotes_leftu_u_idx),s(t_h4s_quotes_index,X10)))=s(t_h4s_quotes_index,happ(s(t_fun(t_h4s_quotes_index,t_h4s_quotes_index),h4s_quotes_rightu_u_idx),s(t_h4s_quotes_index,X14)))),file('i/f/quote/index__distinct_c0', ch4s_quotes_indexu_u_distinctu_c0)).
# SZS output end CNFRefutation
