# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:((p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X3),s(X1,X2))),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X5))))&p(s(t_bool,h4s_setu_u_relations_linearu_u_order(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X5),s(t_fun(X1,t_bool),X4)))))=>(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X4))))&p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X4)))))),file('i/f/set_relation/linear__order__dom__rng', ch4s_setu_u_relations_linearu_u_orderu_u_domu_u_rng)).
fof(41, axiom,![X1]:![X3]:![X15]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X15)))=s(t_bool,happ(s(t_fun(X1,t_bool),X15),s(X1,X3))),file('i/f/set_relation/linear__order__dom__rng', ah4s_predu_u_sets_SPECIFICATION)).
fof(59, axiom,![X1]:![X4]:![X5]:(p(s(t_bool,h4s_setu_u_relations_linearu_u_order(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X5),s(t_fun(X1,t_bool),X4))))=>p(s(t_bool,h4s_setu_u_relations_partialu_u_order(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X5),s(t_fun(X1,t_bool),X4))))),file('i/f/set_relation/linear__order__dom__rng', ah4s_setu_u_relations_partialu_u_orderu_u_linearu_u_order)).
fof(73, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:((p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X3),s(X1,X2))),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X5))))&p(s(t_bool,h4s_setu_u_relations_partialu_u_order(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X5),s(t_fun(X1,t_bool),X4)))))=>(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X4))))&p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X4)))))),file('i/f/set_relation/linear__order__dom__rng', ah4s_setu_u_relations_partialu_u_orderu_u_domu_u_rng)).
fof(78, axiom,p(s(t_bool,t)),file('i/f/set_relation/linear__order__dom__rng', aHLu_TRUTH)).
fof(79, axiom,![X11]:(s(t_bool,X11)=s(t_bool,t)|s(t_bool,X11)=s(t_bool,f)),file('i/f/set_relation/linear__order__dom__rng', aHLu_BOOLu_CASES)).
fof(81, axiom,![X11]:(s(t_bool,X11)=s(t_bool,t)<=>p(s(t_bool,X11))),file('i/f/set_relation/linear__order__dom__rng', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
