% Unbounded Modal Sat from QBF - Randomly Generated % -clauses 50 -vars 4 -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 : (v5 | v13 | v27 | ~v28)) ). inputformula(mod2,hypothesis, (box r1 : (v8 | v11 | ~v23 | ~v28)) ). inputformula(mod3,hypothesis, (box r1 : (v15 | v27 | ~v23 | ~v28)) ). inputformula(mod4,hypothesis, (box r1 : (v19 | ~v7 | ~v21 | ~v28)) ). inputformula(mod5,hypothesis, (box r1 : (box r1 : (v5 | v13 | v27 | ~v28))) ). inputformula(mod6,hypothesis, (box r1 : (box r1 : (v6 | v16 | v27 | ~v1))) ). inputformula(mod7,hypothesis, (box r1 : (box r1 : (v7 | v15 | ~v19 | ~v27))) ). inputformula(mod8,hypothesis, (box r1 : (box r1 : (v14 | v15 | ~v18 | ~v27))) ). inputformula(mod9,hypothesis, (box r1 : (box r1 : (v15 | v27 | ~v23 | ~v28))) ). inputformula(mod10,hypothesis, (box r1 : (box r1 : (v23 | v27 | ~v5 | ~v18))) ). inputformula(mod11,hypothesis, (box r1 : (box r1 : (~v1 | ~v8 | ~v22 | ~v27))) ). inputformula(mod12,hypothesis, (box r1 : (box r1 : (~v5 | ~v16 | ~v19 | ~v27))) ). inputformula(mod13,hypothesis, (box r1 : (box r1 : (box r1 : (v5 | v17 | v26 | ~v24)))) ). inputformula(mod14,hypothesis, (box r1 : (box r1 : (box r1 : (v7 | v19 | v24 | v26)))) ). inputformula(mod15,hypothesis, (box r1 : (box r1 : (box r1 : (v21 | v24 | v26 | ~v3)))) ). inputformula(mod16,hypothesis, (box r1 : (box r1 : (box r1 : (v22 | ~v2 | ~v24 | ~v26)))) ). 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~v28))))))) ). inputformula(mod44,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v23 | v26 | ~v7 | ~v18))))))) ). inputformula(mod45,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v23 | v27 | ~v5 | ~v18))))))) ). inputformula(mod46,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v2 | v6 | ~v3 | ~v22)))))))) ). inputformula(mod47,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v2 | v16 | ~v10 | ~v22)))))))) ). inputformula(mod48,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v5 | v11 | ~v2 | ~v22)))))))) ). inputformula(mod49,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v9 | v11 | v21 | ~v22)))))))) ). inputformula(mod50,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v9 | v22 | v24 | ~v1)))))))) ). inputformula(mod51,hypothesis, (box r1 : (box r1 : (box r1 : 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(~v2 | ~v15 | ~v19 | ~v21))))))))))) ). inputformula(mod78,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (~v5 | ~v16 | ~v19 | ~v27))))))))))) ). inputformula(mod79,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v3 | v7 | v18 | ~v13)))))))))))) ). inputformula(mod80,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v6 | v7 | ~v18 | ~v25)))))))))))) ). inputformula(mod81,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v6 | v23 | ~v3 | ~v18)))))))))))) ). inputformula(mod82,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v9 | v21 | ~v6 | ~v18)))))))))))) ). inputformula(mod83,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : 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~v16))))))))))))) ). inputformula(mod89,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v5 | v17 | v26 | ~v24))))))))))))) ). inputformula(mod90,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v16 | v21 | v25 | ~v17))))))))))))) ). inputformula(mod91,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v18 | v24 | ~v16 | ~v17))))))))))))) ). inputformula(mod92,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v1 | v7 | v10 | v16)))))))))))))) ). inputformula(mod93,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v2 | v16 | ~v10 | ~v22)))))))))))))) ). 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