# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_wordss_wordu_u_le(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_le(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),X3)=s(t_h4s_fcps_cart(t_bool,X1),X2)),file('i/f/words/WORD__LESS__EQUAL__ANTISYM', ch4s_wordss_WORDu_u_LESSu_u_EQUALu_u_ANTISYM)).
fof(27, axiom,![X1]:![X2]:![X3]:(~(p(s(t_bool,h4s_wordss_wordu_u_le(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_lt(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_fcps_cart(t_bool,X1),X3))))),file('i/f/words/WORD__LESS__EQUAL__ANTISYM', ah4s_wordss_WORDu_u_NOTu_u_LESSu_u_EQUAL)).
fof(28, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_wordss_wordu_u_le(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_lt(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__LESS__EQUAL__ANTISYM', ah4s_wordss_WORDu_u_LESSu_u_ORu_u_EQ)).
fof(47, axiom,p(s(t_bool,t)),file('i/f/words/WORD__LESS__EQUAL__ANTISYM', aHLu_TRUTH)).
fof(49, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/words/WORD__LESS__EQUAL__ANTISYM', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
