# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(~(s(t_fun(X1,t_bool),X3)=s(t_fun(X1,t_bool),X2))<=>?[X4]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X2))))<=>~(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X3))))))),file('i/f/pred_set/NOT__EQUAL__SETS', ch4s_predu_u_sets_NOTu_u_EQUALu_u_SETS)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/pred_set/NOT__EQUAL__SETS', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/NOT__EQUAL__SETS', aHLu_FALSITY)).
fof(5, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/pred_set/NOT__EQUAL__SETS', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(11, axiom,![X2]:(s(t_bool,t0)=s(t_bool,X2)<=>p(s(t_bool,X2))),file('i/f/pred_set/NOT__EQUAL__SETS', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(14, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)|s(t_bool,X2)=s(t_bool,f)),file('i/f/pred_set/NOT__EQUAL__SETS', aHLu_BOOLu_CASES)).
fof(15, axiom,![X1]:![X2]:![X3]:(s(t_fun(X1,t_bool),X3)=s(t_fun(X1,t_bool),X2)<=>![X4]:s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X3)))=s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X2)))),file('i/f/pred_set/NOT__EQUAL__SETS', ah4s_predu_u_sets_EXTENSION)).
# SZS output end CNFRefutation
