# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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)))))&~(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__CASES__IMP', ch4s_wordss_WORDu_u_LESSu_u_CASESu_u_IMP)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/words/WORD__LESS__CASES__IMP', aHLu_FALSITY)).
fof(23, 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_le(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_fcps_cart(t_bool,X1),X3))))),file('i/f/words/WORD__LESS__CASES__IMP', ah4s_wordss_WORDu_u_NOTu_u_LESS)).
fof(24, 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__CASES__IMP', ah4s_wordss_WORDu_u_LESSu_u_ORu_u_EQ)).
fof(25, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/words/WORD__LESS__CASES__IMP', aHLu_BOOLu_CASES)).
fof(26, axiom,p(s(t_bool,t)),file('i/f/words/WORD__LESS__CASES__IMP', aHLu_TRUTH)).
fof(28, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/words/WORD__LESS__CASES__IMP', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
