%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM450+6 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Sun Sep 27 08:12:46 AM UTC 2026 % Result : Theorem 37.25s 6.20s % Output : CNFRefutation 37.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM450+6 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.09/0.37 % Computer : n006.cluster.edu % 0.09/0.37 % Model : x86_64 x86_64 % 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.37 % Memory : 8046.5625MB % 0.09/0.37 % OS : Linux 6.8.0-71-generic % 0.09/0.37 % CPULimit : 300 % 0.09/0.37 % WCLimit : 300 % 0.09/0.37 % DateTime : Sat Sep 26 02:46:55 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 37.25/6.20 % SZS status Theorem for theBenchmark.p % 37.25/6.20 % SZS output start CNFRefutation for theBenchmark.p % 37.25/6.20 fof(m__2079, hypothesis, (aSet0(sbsmnsldt0(xS)) & (! [X0] : ((aElementOf0(X0,sbsmnsldt0(xS)) <=> (aInteger0(X0) & ? [X1] : ((aElementOf0(X1,xS) & aElementOf0(X0,X1)))))) & (aSet0(stldt0(sbsmnsldt0(xS))) & (! [X0] : ((aElementOf0(X0,stldt0(sbsmnsldt0(xS))) <=> (aInteger0(X0) & ~aElementOf0(X0,sbsmnsldt0(xS))))) & (! [X0] : ((aElementOf0(X0,stldt0(sbsmnsldt0(xS))) <=> (X0 = sz10 | X0 = smndt0(sz10)))) & stldt0(sbsmnsldt0(xS)) = cS2076)))))). % 37.25/6.20 fof(m__2144, hypothesis, (aSet0(sbsmnsldt0(xS)) & (! [X0] : ((aElementOf0(X0,sbsmnsldt0(xS)) <=> (aInteger0(X0) & ? [X1] : ((aElementOf0(X1,xS) & aElementOf0(X0,X1)))))) & (! [X0] : ((aElementOf0(X0,stldt0(sbsmnsldt0(xS))) <=> (aInteger0(X0) & ~aElementOf0(X0,sbsmnsldt0(xS))))) & (! [X0] : ((aElementOf0(X0,stldt0(sbsmnsldt0(xS))) => ? [X1] : ((aInteger0(X1) & (X1 != sz00 & (aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) & (! [X2] : (((aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) => (aInteger0(X2) & (? [X3] : ((aInteger0(X3) & sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)))) & (aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0))) & sdteqdtlpzmzozddtrp0(X2,X0,X1))))) & ((aInteger0(X2) & (? [X3] : ((aInteger0(X3) & sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)))) | (aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0))) | sdteqdtlpzmzozddtrp0(X2,X0,X1)))) => aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))))) & (! [X2] : ((aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) => aElementOf0(X2,stldt0(sbsmnsldt0(xS))))) & aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS))))))))))) & (isOpen0(stldt0(sbsmnsldt0(xS))) & (isClosed0(sbsmnsldt0(xS)) & (aSet0(sbsmnsldt0(xS)) & (! [X0] : ((aElementOf0(X0,sbsmnsldt0(xS)) <=> (aInteger0(X0) & ? [X1] : ((aElementOf0(X1,xS) & aElementOf0(X0,X1)))))) & (! [X0] : ((aElementOf0(X0,stldt0(sbsmnsldt0(xS))) <=> (aInteger0(X0) & ~aElementOf0(X0,sbsmnsldt0(xS))))) & ! [X0] : ((aElementOf0(X0,stldt0(sbsmnsldt0(xS))) => ? [X1] : ((aInteger0(X1) & (X1 != sz00 & (aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) & (! [X2] : (((aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) => (aInteger0(X2) & (? [X3] : ((aInteger0(X3) & sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)))) & (aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0))) & sdteqdtlpzmzozddtrp0(X2,X0,X1))))) & ((aInteger0(X2) & (? [X3] : ((aInteger0(X3) & sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)))) | (aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0))) | sdteqdtlpzmzozddtrp0(X2,X0,X1)))) => aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))))) & (! [X2] : ((aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) => aElementOf0(X2,stldt0(sbsmnsldt0(xS))))) & aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sbsmnsldt0(xS))))))))))))))))))))). % 37.25/6.20 fof(m__, conjecture, ? [X0] : ((aInteger0(X0) & (X0 != sz00 & ((aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X0)) & ! [X1] : (((aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0)) => (aInteger0(X1) & (? [X2] : ((aInteger0(X2) & sdtasdt0(X0,X2) = sdtpldt0(X1,smndt0(sz10)))) & (aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10))) & sdteqdtlpzmzozddtrp0(X1,sz10,X0))))) & ((aInteger0(X1) & (? [X2] : ((aInteger0(X2) & sdtasdt0(X0,X2) = sdtpldt0(X1,smndt0(sz10)))) | (aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10))) | sdteqdtlpzmzozddtrp0(X1,sz10,X0)))) => aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0)))))) => ((aSet0(sbsmnsldt0(xS)) & ! [X1] : ((aElementOf0(X1,sbsmnsldt0(xS)) <=> (aInteger0(X1) & ? [X2] : ((aElementOf0(X2,xS) & aElementOf0(X1,X2))))))) => (! [X1] : ((aElementOf0(X1,stldt0(sbsmnsldt0(xS))) <=> (aInteger0(X1) & ~aElementOf0(X1,sbsmnsldt0(xS))))) => (! [X1] : ((aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0)) => aElementOf0(X1,stldt0(sbsmnsldt0(xS))))) | aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS))))))))))). % 37.25/6.20 fof(negated_conjecture, negated_conjecture, ~? [X0] : ((aInteger0(X0) & (X0 != sz00 & ((aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X0)) & ! [X1] : (((aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0)) => (aInteger0(X1) & (? [X2] : ((aInteger0(X2) & sdtasdt0(X0,X2) = sdtpldt0(X1,smndt0(sz10)))) & (aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10))) & sdteqdtlpzmzozddtrp0(X1,sz10,X0))))) & ((aInteger0(X1) & (? [X2] : ((aInteger0(X2) & sdtasdt0(X0,X2) = sdtpldt0(X1,smndt0(sz10)))) | (aDivisorOf0(X0,sdtpldt0(X1,smndt0(sz10))) | sdteqdtlpzmzozddtrp0(X1,sz10,X0)))) => aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0)))))) => ((aSet0(sbsmnsldt0(xS)) & ! [X1] : ((aElementOf0(X1,sbsmnsldt0(xS)) <=> (aInteger0(X1) & ? [X2] : ((aElementOf0(X2,xS) & aElementOf0(X1,X2))))))) => (! [X1] : ((aElementOf0(X1,stldt0(sbsmnsldt0(xS))) <=> (aInteger0(X1) & ~aElementOf0(X1,sbsmnsldt0(xS))))) => (! [X1] : ((aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,X0)) => aElementOf0(X1,stldt0(sbsmnsldt0(xS))))) | aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),stldt0(sbsmnsldt0(xS)))))))))), inference(negate_conjecture, [status(cth)], [m__])). % 37.25/6.20 cnf(c149, plain, aElementOf0(X0,stldt0(sbsmnsldt0(xS))) | X0 != sz10, inference(clausification, [status(esa)], [m__2079])). % 37.25/6.20 cnf(c151, plain, stldt0(sbsmnsldt0(xS)) = cS2076, inference(clausification, [status(esa)], [m__2079])). % 37.25/6.20 cnf(c166, plain, ~aElementOf0(X0,stldt0(sbsmnsldt0(xS))) | X1(X0), inference(clausification, [status(esa)], [m__2144])). % 37.25/6.20 cnf(c176, plain, ~X0(X1) | aInteger0(sK135(X1)), inference(clausification, [status(esa)], [m__2144])). % 37.25/6.20 cnf(c179, plain, ~X0(X1) | aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,sK135(X1)),stldt0(sbsmnsldt0(xS))), inference(clausification, [status(esa)], [m__2144])). % 37.25/6.20 cnf(c184, plain, ~X0(X1) | sK135(X1) != sz00, inference(clausification, [status(esa)], [m__2144])). % 37.25/6.20 cnf(c185, plain, ~aInteger0(X0) | X1(X0) | X0 = sz00, inference(clausification, [status(esa)], [negated_conjecture])). % 37.25/6.20 cnf(c199, plain, ~X0(X1) | ~aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X1),stldt0(sbsmnsldt0(xS))), inference(clausification, [status(esa)], [negated_conjecture])). % 37.25/6.20 cnf(d0, plain, aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK135(X0)),cS2076) | ~'Ts128'(X0), inference(demodulation, [status(thm)], [c179,c151])). % 37.25/6.20 cnf(d1, plain, ~aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X0),cS2076) | ~'Ts140'(X0), inference(demodulation, [status(thm)], [c199,c151])). % 37.25/6.20 cnf(d2, plain, ~'Ts140'(sK135(sz10)) | ~'Ts128'(sz10), inference(resolution, [status(thm)], [d1,d0])). % 37.25/6.20 cnf(d3, plain, X0 != sz10 | aElementOf0(X0,cS2076), inference(demodulation, [status(thm)], [c149,c151])). % 37.25/6.20 cnf(d4, plain, aElementOf0(sz10,cS2076), inference(equality_resolution, [status(thm)], [d3])). % 37.25/6.20 cnf(d5, plain, ~aElementOf0(X0,cS2076) | 'Ts128'(X0), inference(demodulation, [status(thm)], [c166,c151])). % 37.25/6.20 cnf(d6, plain, 'Ts128'(sz10), inference(resolution, [status(thm)], [d5,d4])). % 37.25/6.20 cnf(d7, plain, ~'Ts140'(sK135(sz10)), inference(resolution, [status(thm)], [d6,d2])). % 37.25/6.20 cnf(d8, plain, sK135(X0) = sz00 | 'Ts140'(sK135(X0)) | ~'Ts128'(X0), inference(resolution, [status(thm)], [c185,c176])). % 37.25/6.20 cnf(d9, plain, sK135(sz10) = sz00 | ~'Ts128'(sz10), inference(resolution, [status(thm)], [d8,d7])). % 37.25/6.20 cnf(d10, plain, sK135(sz10) = sz00, inference(resolution, [status(thm)], [d6,d9])). % 37.25/6.20 cnf(d11, plain, sz00 != sz00 | ~'Ts128'(sz10), inference(superposition, [status(thm)], [d10,c184])). % 37.25/6.20 cnf(d12, plain, sz00 != sz00, inference(resolution, [status(thm)], [d6,d11])). % 37.25/6.20 cnf(d13, plain, $false, inference(equality_resolution, [status(thm)], [d12])). % 37.25/6.20 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------