% Unbounded Modal Sat from QBF - Randomly Generated % -clauses 40 -vars 8 -depth 4 -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 : (v2 | v28 | v40 | ~v16)) ). inputformula(mod2,hypothesis, (box r1 : (v9 | v40 | ~v1 | ~v14)) ). inputformula(mod3,hypothesis, (box r1 : (v15 | v16 | v36 | ~v40)) ). inputformula(mod4,hypothesis, (box r1 : (v15 | v27 | v40 | ~v17)) ). inputformula(mod5,hypothesis, (box r1 : 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~v37))))) ). inputformula(mod17,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v15 | v16 | v36 | ~v40)))))) ). inputformula(mod18,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v26 | v32 | v36 | ~v18)))))) ). inputformula(mod19,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v31 | v36 | v38 | ~v14)))))) ). inputformula(mod20,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v7 | v15 | v35 | ~v32))))))) ). inputformula(mod21,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v10 | v35 | ~v15 | ~v22))))))) ). inputformula(mod22,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v15 | v35 | ~v6 | ~v16))))))) ). inputformula(mod23,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v23 | v27 | ~v12 | ~v34)))))))) ). inputformula(mod24,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v16 | v27 | ~v33 | ~v40))))))))) ). inputformula(mod25,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v7 | v15 | v35 | ~v32)))))))))) ). inputformula(mod26,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v10 | v21 | v32 | ~v38)))))))))) ). inputformula(mod27,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v19 | v31 | v32 | ~v6)))))))))) ). inputformula(mod28,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v22 | v32 | ~v28 | ~v39)))))))))) ). inputformula(mod29,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v26 | v32 | v36 | ~v18)))))))))) ). inputformula(mod30,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v40 | ~v18 | ~v29 | ~v32)))))))))) ). inputformula(mod31,hypothesis, 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