/export/starexec/sandbox/solver/bin/starexec_run_Certifiable /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES 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 2.2 intersect'ii'in Xs cons X0 Ys intersect'ii'in Xs Ys 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 intersect'ii'in cons X0 Xs Ys u'2'1 intersect'ii'in Xs Ys u'6'1 reduce'ii'out F2 Fs Gs NF reduce'ii'in sequent cons F2 Fs Gs NF 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 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 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 reduce'ii'in sequent nil nil sequent F1 F2 intersect'ii'in F1 F2 reduce'ii'in sequent nil nil sequent F1 F2 u'15'1 intersect'ii'in F1 F2 reduce'ii'in sequent nil cons p V Gs sequent Left Right reduce'ii'in sequent nil Gs sequent Left cons p V Right 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 reduce'ii'in sequent Fs cons x'2a G1 G2 Gs NF reduce'ii'in sequent Fs cons G1 Gs NF reduce'ii'in sequent cons p V Fs Gs sequent Left Right reduce'ii'in sequent Fs Gs sequent cons p V Left Right 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 tautology'i'in F reduce'ii'in sequent nil cons F nil sequent nil nil 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 reduce'ii'in sequent cons x'2b F1 F2 Fs Gs NF reduce'ii'in sequent cons F1 Fs Gs NF reduce'ii'in sequent cons x'2d F1 Fs Gs NF u'7'1 reduce'ii'in sequent Fs cons F1 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'12'1 reduce'ii'out Fs G2 Gs NF reduce'ii'in sequent Fs cons G2 Gs NF reduce'ii'in sequent Fs cons if A B Gs NF reduce'ii'in sequent Fs cons x'2b x'2d B A Gs NF reduce'ii'in sequent cons x'2d F1 Fs Gs NF reduce'ii'in sequent Fs cons F1 Gs NF u'12'1 reduce'ii'out Fs G2 Gs NF u'12'2 reduce'ii'in sequent Fs cons G2 Gs NF reduce'ii'in sequent Fs cons x'2d G1 Gs NF u'13'1 reduce'ii'in sequent cons G1 Fs Gs NF reduce'ii'in sequent cons iff A B Fs Gs NF reduce'ii'in sequent cons x'2a if A B if B A Fs Gs NF tautology'i'in F u'16'1 reduce'ii'in sequent nil cons F nil sequent nil nil reduce'ii'in sequent Fs cons iff A B Gs NF reduce'ii'in sequent Fs cons x'2a if A B if B A Gs NF intersect'ii'in cons X0 Xs Ys intersect'ii'in Xs Ys 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 reduce'ii'in sequent cons x'2a F1 F2 Fs Gs NF reduce'ii'in sequent cons F1 cons F2 Fs Gs NF 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 intersect'ii'in Xs cons X0 Ys u'1'1 intersect'ii'in Xs Ys reduce'ii'in sequent Fs cons x'2b G1 G2 Gs NF reduce'ii'in sequent Fs cons G1 cons G2 Gs NF 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 reduce'ii'in sequent cons if A B Fs Gs NF reduce'ii'in sequent cons x'2b x'2d B A Fs Gs NF reduce'ii'in sequent Fs cons x'2d G1 Gs NF reduce'ii'in sequent cons G1 Fs Gs NF true tautology'i'in F u'16'1 reduce'ii'in sequent nil cons F nil sequent nil nil false tautology'i'in F reduce'ii'in sequent nil cons F nil sequent nil nil false reduce'ii'in sequent Fs cons x'2d G1 Gs NF reduce'ii'in sequent cons G1 Fs Gs NF reduce'ii'in sequent cons if A B Fs Gs NF reduce'ii'in sequent cons x'2b x'2d B A Fs Gs NF reduce'ii'in sequent cons p V Fs Gs sequent Left Right reduce'ii'in sequent Fs Gs sequent cons p V Left Right reduce'ii'in sequent Fs cons x'2a G1 G2 Gs NF reduce'ii'in sequent Fs cons G1 Gs NF reduce'ii'in sequent nil cons p V Gs sequent Left Right reduce'ii'in sequent nil Gs sequent Left cons p V Right reduce'ii'in sequent Fs cons x'2b G1 G2 Gs NF reduce'ii'in sequent Fs cons G1 cons G2 Gs NF reduce'ii'in sequent cons x'2a F1 F2 Fs Gs NF reduce'ii'in sequent cons F1 cons F2 Fs Gs NF reduce'ii'in sequent Fs cons iff A B Gs NF reduce'ii'in sequent Fs cons x'2a if A B if B A Gs NF 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 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 reduce'ii'in sequent cons iff A B Fs Gs NF reduce'ii'in sequent cons x'2a if A B if B A Fs Gs NF u'6'1 reduce'ii'out F2 Fs Gs NF reduce'ii'in sequent cons F2 Fs Gs NF reduce'ii'in sequent cons x'2d F1 Fs Gs NF reduce'ii'in sequent Fs cons F1 Gs NF reduce'ii'in sequent Fs cons if A B Gs NF reduce'ii'in sequent Fs cons x'2b x'2d B A Gs NF u'12'1 reduce'ii'out Fs G2 Gs NF reduce'ii'in sequent Fs cons G2 Gs NF reduce'ii'in sequent cons x'2b F1 F2 Fs Gs NF reduce'ii'in sequent cons F1 Fs Gs NF true 2 1 iff 2 1 1 1 1 1 1 1 1 1 2 39627 23691 tautology'i'in 1 0 0 u'7'1 1 0 0 u'12'1 5 1 0 0 0 1 0 0 1 0 3 0 1 x'2d 1 0 1 1 0 1 26373 0 u'12'1 5 0 0 1 0 1 1 0 1 0 2 1 0 1 0 3 1 0 1 0 4 15666 0 reduce'ii'in 2 0 0 1 0 1 0 0 u'5'1 1 0 0 u'1'1 1 0 0 reduce'ii'in 2 0 0 1 0 1 2900 1 u'7'1 1 1 1 x'2b 2 0 1 1 0 1 1 0 1 0 2 1 1 u'5'1 1 1 0 0 0 1 0 1 u'6'2 1 1 1 u'8'1 1 1 0 0 u'12'2 1 1 1 u'13'1 1 0 0 u'16'1 1 0 0 intersect'ii'out 0 4 19174 intersect'ii'in 2 1 1 1 1 1 2 1 19174 u'9'1 1 0 0 u'6'1 5 0 0 1 0 4 1 1 u'14'1 1 0 0 p 1 1 1 1 0 1 1 50419 u'10'1 1 1 1 if 2 0 1 1 0 1 0 1 1 0 2 25267 1109 u'2'1 1 0 0 nil 0 26310 1 intersect'ii'in 2 0 0 u'4'1 1 1 0 0 0 1 0 1 u'6'1 5 1 0 1 0 2 1 0 1 0 3 1 0 1 0 4 5104 0 u'2'1 1 1 0 0 0 1 1 19174 u'9'1 1 1 1 u'11'1 1 0 0 tautology'i'out 0 0 0 u'15'1 1 0 0 u'15'1 1 1 1 cons 2 1 1 0 1 0 2 1 0 u'13'1 1 1 1 reduce'ii'out 0 1 1 u'12'2 1 0 0 x'2a 2 0 1 0 1 1 0 1 1 0 2 10565 0 u'14'1 1 1 1 tautology'i'in 1 0 0 u'4'1 1 0 0 u'3'1 1 0 0 0 1 1 34379 0 u'8'1 1 0 0 sequent 2 0 1 1 1 1 0 1 0 1 2 1 5102 u'6'2 1 0 0 u'11'1 1 8005 1 u'3'1 1 0 0 u'1'1 1 1 0 0 u'10'1 1 0 0 u'16'1 1 0 0 u'8'1 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 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'1'1 intersect'ii'out intersect'ii'out u'7'1 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'12'1 reduce'ii'out Fs G2 Gs NF u'12'2 reduce'ii'in sequent Fs cons G2 Gs NF 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 reduce'ii'in sequent nil nil sequent F1 F2 u'15'1 intersect'ii'in F1 F2 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'12'2 reduce'ii'out reduce'ii'out u'10'1 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'2'1 intersect'ii'out intersect'ii'out u'15'1 intersect'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'3'1 reduce'ii'out reduce'ii'out u'9'1 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 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'6'2 reduce'ii'out reduce'ii'out u'14'1 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 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 u'5'1 reduce'ii'out reduce'ii'out u'4'1 reduce'ii'out reduce'ii'out u'6'1 reduce'ii'out F2 Fs Gs NF u'6'2 reduce'ii'in sequent cons F2 Fs Gs NF 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'13'1 reduce'ii'out reduce'ii'out u'12'1 reduce'ii'out Fs G2 Gs NF u'12'2 reduce'ii'in sequent Fs cons G2 Gs NF false u'6'1 reduce'ii'out F2 Fs Gs NF u'6'2 reduce'ii'in sequent cons F2 Fs Gs NF false 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 false 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 false 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 false 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 false reduce'ii'in sequent Fs cons x'2d G1 Gs NF u'13'1 reduce'ii'in sequent cons G1 Fs Gs NF false 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 false reduce'ii'in sequent nil nil sequent F1 F2 u'15'1 intersect'ii'in F1 F2 false reduce'ii'in sequent nil nil sequent F1 F2 intersect'ii'in F1 F2 false intersect'ii'in cons X0 Xs Ys intersect'ii'in Xs Ys intersect'ii'in Xs cons X0 Ys intersect'ii'in Xs Ys true iff 2 1 tautology'i'in 1 0 u'7'1 1 0 u'12'1 5 1 4 5 1 x'2d 1 1 1 u'12'1 5 0 reduce'ii'in 2 0 u'5'1 1 0 u'1'1 1 0 reduce'ii'in 2 2 1 u'7'1 1 3 x'2b 2 1 1 u'5'1 1 1 1 u'6'2 1 1 2 u'8'1 1 1 1 u'12'2 1 3 u'13'1 1 0 u'16'1 1 0 intersect'ii'out 0 4 intersect'ii'in 2 1 2 1 u'9'1 1 0 u'6'1 5 3 2 u'14'1 1 0 p 1 1 u'10'1 1 3 if 2 1 1 u'2'1 1 0 nil 0 1 intersect'ii'in 2 2 0 u'4'1 1 1 1 u'6'1 5 1 u'2'1 1 1 2 u'9'1 1 2 u'11'1 1 0 tautology'i'out 0 0 u'15'1 1 0 u'15'1 1 3 cons 2 2 1 u'13'1 1 2 reduce'ii'out 0 4 u'12'2 1 0 x'2a 2 1 1 u'14'1 1 3 tautology'i'in 1 0 u'4'1 1 0 u'3'1 1 2 u'8'1 1 0 sequent 2 1 2 1 u'6'2 1 0 u'11'1 1 2 u'3'1 1 0 u'1'1 1 3 u'10'1 1 0 u'16'1 1 0 intersect'ii'in cons X0 Xs Ys intersect'ii'in Xs Ys intersect'ii'in cons X0 Xs Ys intersect'ii'in Xs Ys true iff 2 1 tautology'i'in 1 0 u'7'1 1 0 u'12'1 5 1 4 5 1 x'2d 1 1 1 u'12'1 5 0 reduce'ii'in 2 0 u'5'1 1 0 u'1'1 1 0 reduce'ii'in 2 2 1 u'7'1 1 3 x'2b 2 1 1 u'5'1 1 1 1 u'6'2 1 1 2 u'8'1 1 1 1 u'12'2 1 3 u'13'1 1 0 u'16'1 1 0 intersect'ii'out 0 4 intersect'ii'in 2 1 2 1 u'9'1 1 0 u'6'1 5 3 2 u'14'1 1 0 p 1 1 u'10'1 1 3 if 2 1 1 u'2'1 1 0 nil 0 7156 intersect'ii'in 2 1 0 u'4'1 1 1 1 u'6'1 5 1 u'2'1 1 1 2 u'9'1 1 2 u'11'1 1 0 tautology'i'out 0 0 u'15'1 1 0 u'15'1 1 3 cons 2 2 1 u'13'1 1 2 reduce'ii'out 0 4 u'12'2 1 0 x'2a 2 1 1 u'14'1 1 3 tautology'i'in 1 0 u'4'1 1 0 u'3'1 1 2 u'8'1 1 0 sequent 2 1 2 1 u'6'2 1 0 u'11'1 1 2 u'3'1 1 0 u'1'1 1 3 u'10'1 1 0 u'16'1 1 0 intersect'ii'in Xs cons X0 Ys u'1'1 intersect'ii'in Xs Ys false intersect'ii'in cons X0 Xs Ys u'2'1 intersect'ii'in Xs Ys false 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 false 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 false 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 false reduce'ii'in sequent cons x'2d F1 Fs Gs NF u'7'1 reduce'ii'in sequent Fs cons F1 Gs NF false NaTT certifiable-1.6