intersect'ii'in cons X X0 cons X X1 intersect'ii'out intersect'ii'in Xs cons X0 Ys u'1'1 intersect'ii'in Xs Ys u'1'1 intersect'ii'out intersect'ii'out intersect'ii'in cons X0 Xs Ys u'2'1 intersect'ii'in Xs Ys u'2'1 intersect'ii'out intersect'ii'out reduce'ii'in sequent cons if A B Fs Gs NF u'3'1 reduce'ii'in sequent cons x'2b x'2d B A Fs Gs NF u'3'1 reduce'ii'out reduce'ii'out reduce'ii'in sequent cons iff A B Fs Gs NF u'4'1 reduce'ii'in sequent cons x'2a if A B if B A Fs Gs NF u'4'1 reduce'ii'out reduce'ii'out reduce'ii'in sequent cons x'2a F1 F2 Fs Gs NF u'5'1 reduce'ii'in sequent cons F1 cons F2 Fs Gs NF u'5'1 reduce'ii'out reduce'ii'out reduce'ii'in sequent cons x'2b F1 F2 Fs Gs NF u'6'1 reduce'ii'in sequent cons F1 Fs Gs NF F2 Fs Gs NF u'6'1 reduce'ii'out F2 Fs Gs NF u'6'2 reduce'ii'in sequent cons F2 Fs Gs NF u'6'2 reduce'ii'out reduce'ii'out reduce'ii'in sequent cons x'2d F1 Fs Gs NF u'7'1 reduce'ii'in sequent Fs cons F1 Gs NF u'7'1 reduce'ii'out reduce'ii'out reduce'ii'in sequent Fs cons if A B Gs NF u'8'1 reduce'ii'in sequent Fs cons x'2b x'2d B A Gs NF u'8'1 reduce'ii'out reduce'ii'out reduce'ii'in sequent Fs cons iff A B Gs NF u'9'1 reduce'ii'in sequent Fs cons x'2a if A B if B A Gs NF u'9'1 reduce'ii'out reduce'ii'out reduce'ii'in sequent cons p V Fs Gs sequent Left Right u'10'1 reduce'ii'in sequent Fs Gs sequent cons p V Left Right u'10'1 reduce'ii'out reduce'ii'out reduce'ii'in sequent Fs cons x'2b G1 G2 Gs NF u'11'1 reduce'ii'in sequent Fs cons G1 cons G2 Gs NF u'11'1 reduce'ii'out reduce'ii'out reduce'ii'in sequent Fs cons x'2a G1 G2 Gs NF u'12'1 reduce'ii'in sequent Fs cons G1 Gs NF Fs G2 Gs NF u'12'1 reduce'ii'out Fs G2 Gs NF u'12'2 reduce'ii'in sequent Fs cons G2 Gs NF u'12'2 reduce'ii'out reduce'ii'out reduce'ii'in sequent Fs cons x'2d G1 Gs NF u'13'1 reduce'ii'in sequent cons G1 Fs Gs NF u'13'1 reduce'ii'out reduce'ii'out reduce'ii'in sequent nil cons p V Gs sequent Left Right u'14'1 reduce'ii'in sequent nil Gs sequent Left cons p V Right u'14'1 reduce'ii'out reduce'ii'out reduce'ii'in sequent nil nil sequent F1 F2 u'15'1 intersect'ii'in F1 F2 u'15'1 intersect'ii'out reduce'ii'out tautology'i'in F u'16'1 reduce'ii'in sequent nil cons F nil sequent nil nil u'16'1 reduce'ii'out tautology'i'out intersect'ii'in 2 cons 2 intersect'ii'out 0 u'1'1 1 u'2'1 1 reduce'ii'in 2 sequent 2 if 2 u'3'1 1 x'2b 2 x'2d 1 reduce'ii'out 0 iff 2 u'4'1 1 x'2a 2 u'5'1 1 u'6'1 5 u'6'2 1 u'7'1 1 u'8'1 1 u'9'1 1 p 1 u'10'1 1 u'11'1 1 u'12'1 5 u'12'2 1 u'13'1 1 nil 0 u'14'1 1 u'15'1 1 tautology'i'in 1 u'16'1 1 tautology'i'out 0 FULL ./TRS/secret05/cime5.trs