# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_setu_u_relations_acyclic(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))))=>~(p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X2),s(X1,X2))),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3)))))),file('i/f/set_relation/acyclic__irreflexive', ch4s_setu_u_relations_acyclicu_u_irreflexive)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/set_relation/acyclic__irreflexive', aHLu_FALSITY)).
fof(24, axiom,![X1]:![X14]:![X2]:![X3]:(p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X2),s(X1,X14))),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),h4s_setu_u_relations_tc(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))))))<=>(p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X2),s(X1,X14))),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))))|?[X18]:(p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X2),s(X1,X18))),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),h4s_setu_u_relations_tc(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))))))&p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X18),s(X1,X14))),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),h4s_setu_u_relations_tc(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))))))))),file('i/f/set_relation/acyclic__irreflexive', ah4s_setu_u_relations_tcu_u_cases)).
fof(25, axiom,![X1]:![X3]:(p(s(t_bool,h4s_setu_u_relations_acyclic(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))))<=>![X2]:~(p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X2),s(X1,X2))),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),h4s_setu_u_relations_tc(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3)))))))),file('i/f/set_relation/acyclic__irreflexive', ah4s_setu_u_relations_acyclicu_u_def)).
fof(28, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/set_relation/acyclic__irreflexive', aHLu_BOOLu_CASES)).
fof(30, axiom,p(s(t_bool,t)),file('i/f/set_relation/acyclic__irreflexive', aHLu_TRUTH)).
fof(32, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/set_relation/acyclic__irreflexive', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
