# 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(2, axiom,p(s(t_bool,t)),file('i/f/words/WORD__LESS__EQUAL__ANTISYM', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/words/WORD__LESS__EQUAL__ANTISYM', aHLu_FALSITY)).
fof(4, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/words/WORD__LESS__EQUAL__ANTISYM', aHLu_BOOLu_CASES)).
fof(37, 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(38, axiom,![X1]:![X2]:![X3]:~((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))))&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_LESSu_u_ANTISYM)).
# SZS output end CNFRefutation
