% Unbounded Modal Sat from QBF - Randomly Generated % -clauses 30 -vars 16 -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 : (v53 | ~v27 | ~v45 | ~v80)) ). inputformula(mod2,hypothesis, (box r1 : (v58 | v80 | ~v8 | ~v53)) ). inputformula(mod3,hypothesis, (box r1 : (box r1 : (v15 | v18 | v79 | ~v23))) ). inputformula(mod4,hypothesis, (box r1 : (box r1 : (v25 | v79 | ~v17 | ~v37))) ). inputformula(mod5,hypothesis, (box r1 : (box r1 : (v77 | ~v28 | ~v64 | ~v79))) ). inputformula(mod6,hypothesis, (box r1 : (box r1 : (box r1 : (v13 | v59 | v78 | ~v20)))) ). inputformula(mod7,hypothesis, (box r1 : (box r1 : (box r1 : (v56 | ~v43 | ~v50 | ~v78)))) ). inputformula(mod8,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (v77 | ~v28 | ~v64 | ~v79))))) ). inputformula(mod9,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v28 | v29 | v69 | ~v76)))))) ). inputformula(mod10,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v49 | v76 | ~v34 | ~v54)))))) ). inputformula(mod11,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (~v7 | ~v27 | ~v30 | ~v76)))))) ). inputformula(mod12,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v15 | v29 | v58 | v75))))))) ). inputformula(mod13,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v52 | ~v24 | ~v36 | ~v73))))))))) ). inputformula(mod14,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v37 | v72 | ~v31 | ~v52)))))))))) ). inputformula(mod15,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v32 | v60 | v66 | v70)))))))))))) ). inputformula(mod16,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 : (v28 | v29 | v69 | ~v76))))))))))))) ). inputformula(mod17,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 : (v7 | v17 | ~v31 | ~v68)))))))))))))) ). inputformula(mod18,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 : (box r1 : (v26 | v35 | ~v19 | ~v67))))))))))))))) ). inputformula(mod19,hypothesis, (box r1 : (box r1 : (box 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(box r1 : (v66 | ~v4 | ~v17 | ~v21)))))))))))))))) ). inputformula(mod24,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 : (box r1 : (box r1 : (box r1 : (v13 | v17 | v29 | ~v65))))))))))))))))) ). inputformula(mod25,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 : (box r1 : (box r1 : (box r1 : (v19 | v35 | v65 | ~v53))))))))))))))))) ). inputformula(mod26,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 : (box r1 : (box r1 : (box r1 : (v35 | v55 | v56 | ~v65))))))))))))))))) ). inputformula(mod27,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 : (box r1 : (box r1 : (box r1 : (box r1 : (v77 | ~v28 | ~v64 | 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