# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:~((p(s(t_bool,h4s_wordss_wordu_u_lo(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2))))&p(s(t_bool,h4s_wordss_wordu_u_lo(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_fcps_cart(t_bool,X1),X3)))))),file('i/f/words/WORD__LOWER__ANTISYM', ch4s_wordss_WORDu_u_LOWERu_u_ANTISYM)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/words/WORD__LOWER__ANTISYM', aHLu_FALSITY)).
fof(45, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2))))<=>(p(s(t_bool,h4s_wordss_wordu_u_lo(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2))))|s(t_h4s_fcps_cart(t_bool,X1),X3)=s(t_h4s_fcps_cart(t_bool,X1),X2))),file('i/f/words/WORD__LOWER__ANTISYM', ah4s_wordss_WORDu_u_LOWERu_u_ORu_u_EQ)).
fof(47, axiom,![X1]:![X2]:![X3]:(~(p(s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2)))))<=>p(s(t_bool,h4s_wordss_wordu_u_lo(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_fcps_cart(t_bool,X1),X3))))),file('i/f/words/WORD__LOWER__ANTISYM', ah4s_wordss_WORDu_u_NOTu_u_LOWERu_u_EQUAL)).
fof(54, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)|s(t_bool,X9)=s(t_bool,f)),file('i/f/words/WORD__LOWER__ANTISYM', aHLu_BOOLu_CASES)).
fof(55, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/words/WORD__LOWER__ANTISYM', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
