% Unbounded Modal Sat from QBF - Randomly Generated % -clauses 10 -vars 8 -depth 6 -lits 4 % -prneg 0.500000 -prmod 0.500000 % -sss % 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 : (v56 | (box r1 : (box r1 : (box r1 : (box r1 : (v52 | (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 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v29 | (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 : ~v14)))))))))))))))))))))))))))))))))))))))))))))) ). inputformula(mod2,hypothesis, (box r1 : (box r1 : (v55 | (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 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v31 | (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 : (v15 | (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : v8)))))))))))))))))))))))))))))))))))))))))))))))))))) ). inputformula(mod3,hypothesis, (box r1 : (box r1 : (~v55 | (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 : (~v41 | (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v30 | (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 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : ~v6)))))))))))))))))))))))))))))))))))))))))))))))))))))) ). inputformula(mod4,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (~v52 | (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (~v47 | (box r1 : (box r1 : (box r1 : (~v44 | (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 : (box r1 : (box r1 : (box r1 : (box r1 : ~v23))))))))))))))))))))))))))))))))))))) ). inputformula(mod5,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (~v51 | (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (~v46 | (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 : (box r1 : (box r1 : (box r1 : (box r1 : (~v25 | (box r1 : ~v24)))))))))))))))))))))))))))))))))))) ). inputformula(mod6,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (~v49 | (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v41 | (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (~v31 | (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 : v18)))))))))))))))))))))))))))))))))))))))))) ). inputformula(mod7,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (~v48 | (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 : (v34 | (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 : (v17 | (box r1 : (box r1 : ~v15))))))))))))))))))))))))))))))))))))))))))))) ). inputformula(mod8,hypothesis, (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v47 | (box r1 : (box r1 : (box r1 : (box r1 : (v43 | (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (~v36 | (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 : (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 : v2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ). inputformula(mod9,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 : (~v45 | (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 : (box r1 : (v27 | (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (v17 | (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : v7))))))))))))))))))))))))))))))))))))))))))))))))))))) ). inputformula(mod10,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 : (~v42 | (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (~v35 | (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (~v29 | (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 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : (box r1 : ~v2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ). inputformula(alt1,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 : ((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 : ((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 : ((box r1 : ((box r1 : ((box r1 : (pos r1 : true)) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : v14) & (pos r1 : ~v14))) & (pos r1 : v15) & (pos r1 : ~v15))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : v25) & (pos r1 : ~v25))) & (pos r1 : true))) & (pos r1 : v27) & (pos r1 : ~v27))) & (pos r1 : true))) & (pos r1 : v29) & (pos r1 : ~v29))) & (pos r1 : v30) & (pos r1 : ~v30))) & (pos r1 : v31) & (pos r1 : ~v31))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : v41) & (pos r1 : ~v41))) & (pos r1 : v42) & (pos r1 : ~v42))) & (pos r1 : v43) & (pos r1 : ~v43))) & (pos r1 : v44) & (pos r1 : ~v44))) & (pos r1 : v45) & (pos r1 : ~v45))) & (pos r1 : v46) & (pos r1 : ~v46))) & (pos r1 : v47) & (pos r1 : ~v47))) & (pos r1 : v48) & (pos r1 : ~v48))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true))) & (pos r1 : true)) ). inputformula(result1,conjecture, false ).