% Unbounded Modal Sat from QBF - Randomly Generated % -clauses 50 -vars 8 -depth 6 -lits 4 % -prneg 0.500000 -prmod 0.500000 % -ladner % Original reference Ladner, SIAM JOC, 1977, SIAM Press % Smart coding avoid the auxiliary variables of the original paper % With ladner flag encoding further optimized % With sss flag encoding by Schimdt-Schauss Smolka, AIJ 1991, Elsevier % With K,S4 flag prop variables hidden by modal proposition for K and S4 % (formulae are no longer in CNF) due to Halpern, AIJ 95, Elsevier % Parameter depth=-1 generate a random number of alternations % Benchmark generator by Fabio Massacci (massacci@dis.uniroma1.it) % Copyright Fabio Massacci, November 1998 inputformula(mod1,hypothesis, (box r1 : (v42 | v56 | ~v1 | ~v41)) ). inputformula(mod2,hypothesis, (box r1 : (box r1 : (v6 | ~v42 | ~v44 | ~v55))) ). inputformula(mod3,hypothesis, (box r1 : (box r1 : (v15 | v50 | ~v46 | ~v55))) ). inputformula(mod4,hypothesis, (box r1 : (box r1 : (v21 | v43 | v55 | ~v15))) ). inputformula(mod5,hypothesis, (box r1 : (box r1 : (v25 | v46 | ~v33 | ~v55))) ). inputformula(mod6,hypothesis, (box r1 : (box r1 : (v30 | v45 | ~v17 | ~v55))) ). inputformula(mod7,hypothesis, (box r1 : (box r1 : (v37 | v55 | ~v25 | ~v41))) ). inputformula(mod8,hypothesis, (box r1 : (box r1 : (box r1 : (v9 | v35 | v54 | ~v47)))) ). inputformula(mod9,hypothesis, (box r1 : (box r1 : (box r1 : (v29 | v54 | ~v44 | ~v52)))) ). inputformula(mod10,hypothesis, (box r1 : (box r1 : (box r1 : (v49 | ~v25 | ~v41 | ~v54)))) ). inputformula(mod11,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (v11 | v51 | v53 | ~v29))))) ). inputformula(mod12,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (v18 | v26 | ~v29 | ~v53))))) ). inputformula(mod13,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (v24 | v45 | ~v32 | ~v53))))) ). inputformula(mod14,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (~v12 | ~v16 | ~v51 | ~v53))))) ). inputformula(mod15,hypothesis, (box r1 : (box r1 : (box r1 : 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r1 : (v15 | v50 | ~v46 | ~v55)))))))) ). inputformula(mod32,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v24 | v31 | v43 | v50)))))))) ). inputformula(mod33,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v36 | v41 | ~v42 | ~v50)))))))) ). inputformula(mod34,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v43 | v50 | ~v18 | ~v31)))))))) ). inputformula(mod35,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v50 | v51 | ~v14 | ~v47)))))))) ). inputformula(mod36,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (~v1 | ~v11 | ~v43 | ~v50)))))))) ). inputformula(mod37,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (~v3 | ~v16 | ~v27 | ~v50)))))))) ). inputformula(mod38,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v8 | ~v28 | ~v31 | ~v49))))))))) ). inputformula(mod39,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v42 | ~v16 | ~v19 | ~v49))))))))) ). inputformula(mod40,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v49 | ~v25 | ~v41 | ~v54))))))))) ). inputformula(mod41,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v43 | ~v18 | ~v35 | ~v48)))))))))) ). inputformula(mod42,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v9 | v35 | v54 | ~v47))))))))))) ). inputformula(mod43,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v50 | v51 | ~v14 | ~v47))))))))))) ). inputformula(mod44,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (~v2 | ~v15 | ~v47 | ~v52))))))))))) ). 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