%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM448+5 : 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 : n016.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 08:12:45 AM UTC 2026 % Result : Theorem 18.16s 2.98s % Output : CNFRefutation 18.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM448+5 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.08/0.36 % Computer : n016.cluster.edu % 0.08/0.36 % Model : x86_64 x86_64 % 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.36 % Memory : 8046.5625MB % 0.08/0.36 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Sat Sep 26 02:51:29 UTC 2026 % 0.08/0.36 % CPUTime : % 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 18.16/2.98 % SZS status Theorem for theBenchmark.p % 18.16/2.98 % SZS output start CNFRefutation for theBenchmark.p % 18.16/2.98 fof(mIntOne, axiom, aInteger0(sz10)). % 18.16/2.98 fof(mIntNeg, axiom, ! [X0] : ((aInteger0(X0) => aInteger0(smndt0(X0))))). % 18.16/2.98 fof(mPrimeDivisor, axiom, ! [X0] : ((aInteger0(X0) => (? [X1] : ((aDivisorOf0(X1,X0) & isPrime0(X1))) <=> (X0 != sz10 & X0 != smndt0(sz10)))))). % 18.16/2.98 fof(m__, conjecture, (! [X0] : ((aInteger0(X0) => (((? [X1] : ((aElementOf0(X1,xS) & aElementOf0(X0,X1))) | aElementOf0(X0,sbsmnsldt0(xS))) => ? [X1] : ((aInteger0(X1) & (X1 != sz00 & (? [X2] : ((aInteger0(X2) & sdtasdt0(X1,X2) = X0)) & (aDivisorOf0(X1,X0) & isPrime0(X1))))))) & (? [X1] : ((((aInteger0(X1) & (X1 != sz00 & ? [X2] : ((aInteger0(X2) & sdtasdt0(X1,X2) = X0)))) | aDivisorOf0(X1,X0)) & isPrime0(X1))) => (? [X1] : ((aElementOf0(X1,xS) & aElementOf0(X0,X1))) & aElementOf0(X0,sbsmnsldt0(xS))))))) => ((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))))). % 18.16/2.98 fof(negated_conjecture, negated_conjecture, ~((! [X0] : ((aInteger0(X0) => (((? [X1] : ((aElementOf0(X1,xS) & aElementOf0(X0,X1))) | aElementOf0(X0,sbsmnsldt0(xS))) => ? [X1] : ((aInteger0(X1) & (X1 != sz00 & (? [X2] : ((aInteger0(X2) & sdtasdt0(X1,X2) = X0)) & (aDivisorOf0(X1,X0) & isPrime0(X1))))))) & (? [X1] : ((((aInteger0(X1) & (X1 != sz00 & ? [X2] : ((aInteger0(X2) & sdtasdt0(X1,X2) = X0)))) | aDivisorOf0(X1,X0)) & isPrime0(X1))) => (? [X1] : ((aElementOf0(X1,xS) & aElementOf0(X0,X1))) & aElementOf0(X0,sbsmnsldt0(xS))))))) => ((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))))), inference(negate_conjecture, [status(cth)], [m__])). % 18.16/2.98 cnf(c1, plain, aInteger0(sz10), inference(clausification, [status(esa)], [mIntOne])). % 18.16/2.98 cnf(c2, plain, ~aInteger0(X0) | aInteger0(smndt0(X0)), inference(clausification, [status(esa)], [mIntNeg])). % 18.16/2.98 cnf(c36, plain, ~aInteger0(X0) | ~aDivisorOf0(X1,X0) | ~isPrime0(X1) | X0 != sz10, inference(clausification, [status(esa)], [mPrimeDivisor])). % 18.16/2.98 cnf(c37, plain, ~aInteger0(X0) | ~aDivisorOf0(X1,X0) | ~isPrime0(X1) | X0 != smndt0(sz10), inference(clausification, [status(esa)], [mPrimeDivisor])). % 18.16/2.98 cnf(c38, plain, ~aInteger0(X0) | aDivisorOf0(sK50(X0),X0) | X0 = sz10 | X0 = smndt0(sz10), inference(clausification, [status(esa)], [mPrimeDivisor])). % 18.16/2.98 cnf(c39, plain, ~aInteger0(X0) | isPrime0(sK50(X0)) | X0 = sz10 | X0 = smndt0(sz10), inference(clausification, [status(esa)], [mPrimeDivisor])). % 18.16/2.98 cnf(c163, plain, ~aInteger0(X0) | ~aElementOf0(X0,sbsmnsldt0(xS)) | X1(X0), inference(clausification, [status(esa)], [negated_conjecture])). % 18.16/2.98 cnf(c165, plain, ~aInteger0(X0) | ~aDivisorOf0(X1,X0) | ~isPrime0(X1) | X2(X0), inference(clausification, [status(esa)], [negated_conjecture])). % 18.16/2.98 cnf(c172, plain, ~aElementOf0(X0,stldt0(sbsmnsldt0(xS))) | aInteger0(X0), inference(clausification, [status(esa)], [negated_conjecture])). % 18.16/2.98 cnf(c173, plain, ~aElementOf0(X0,stldt0(sbsmnsldt0(xS))) | ~aElementOf0(X0,sbsmnsldt0(xS)), inference(clausification, [status(esa)], [negated_conjecture])). % 18.16/2.98 cnf(c174, plain, aElementOf0(X0,stldt0(sbsmnsldt0(xS))) | ~aInteger0(X0) | aElementOf0(X0,sbsmnsldt0(xS)), inference(clausification, [status(esa)], [negated_conjecture])). % 18.16/2.98 cnf(c176, plain, aElementOf0(sK132,stldt0(sbsmnsldt0(xS))) | sK132 = sz10 | sK132 = smndt0(sz10), inference(clausification, [status(esa)], [negated_conjecture])). % 18.16/2.98 cnf(c177, plain, sK132 != sz10 | ~aElementOf0(sK132,stldt0(sbsmnsldt0(xS))), inference(clausification, [status(esa)], [negated_conjecture])). % 18.16/2.98 cnf(c179, plain, sK132 != smndt0(sz10) | ~aElementOf0(sK132,stldt0(sbsmnsldt0(xS))), inference(clausification, [status(esa)], [negated_conjecture])). % 18.16/2.98 cnf(c186, plain, ~X0(X1) | aDivisorOf0(sK133(X1),X1), inference(clausification, [status(esa)], [negated_conjecture])). % 18.16/2.98 cnf(c187, plain, ~X0(X1) | isPrime0(sK133(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 18.16/2.98 cnf(c190, plain, ~X0(X1) | aElementOf0(X1,sbsmnsldt0(xS)), inference(clausification, [status(esa)], [negated_conjecture])). % 18.16/2.98 cnf(d0, plain, sK132 = sz10 | sK132 = smndt0(sz10) | ~aElementOf0(sK132,sbsmnsldt0(xS)), inference(resolution, [status(thm)], [c176,c173])). % 18.16/2.98 cnf(d1, plain, sK132 = sz10 | sK132 = smndt0(sz10) | ~'Ts123'(sK132), inference(resolution, [status(thm)], [d0,c190])). % 18.16/2.98 cnf(d2, plain, sK132 = sz10 | sK132 = smndt0(sz10) | aInteger0(sK132), inference(resolution, [status(thm)], [c176,c172])). % 18.16/2.98 cnf(d3, plain, X0 = sz10 | X0 = smndt0(sz10) | ~aInteger0(X0) | ~aInteger0(X0) | ~isPrime0(sK50(X0)) | 'Ts123'(X0), inference(resolution, [status(thm)], [c38,c165])). % 18.16/2.98 cnf(d4, plain, X0 = sz10 | X0 = smndt0(sz10) | ~aInteger0(X0) | 'Ts123'(X0) | X0 = sz10 | X0 = smndt0(sz10) | ~aInteger0(X0), inference(resolution, [status(thm)], [d3,c39])). % 18.16/2.98 cnf(d5, plain, sK132 = sz10 | sK132 = smndt0(sz10) | 'Ts123'(sK132) | sK132 = sz10 | sK132 = smndt0(sz10), inference(resolution, [status(thm)], [d4,d2])). % 18.16/2.98 cnf(d6, plain, sK132 = sz10 | sK132 = smndt0(sz10) | sK132 = sz10 | sK132 = smndt0(sz10), inference(resolution, [status(thm)], [d5,d1])). % 18.16/2.98 cnf(d7, plain, aInteger0(sK132) | ~aInteger0(sz10) | sK132 = sz10, inference(superposition, [status(thm)], [d6,c2])). % 18.16/2.98 cnf(d8, plain, sK132 = sz10 | aInteger0(sK132), inference(resolution, [status(thm)], [c1,d7])). % 18.16/2.98 cnf(d9, plain, sK132 != sK132 | ~aElementOf0(sK132,stldt0(sbsmnsldt0(xS))) | sK132 = sz10, inference(superposition, [status(thm)], [d6,c179])). % 18.16/2.98 cnf(d10, plain, sK132 = sz10 | ~aElementOf0(sK132,stldt0(sbsmnsldt0(xS))), inference(equality_resolution, [status(thm)], [d9])). % 18.16/2.98 cnf(d11, plain, sK132 = sz10 | ~aInteger0(sK132) | aElementOf0(sK132,sbsmnsldt0(xS)), inference(resolution, [status(thm)], [d10,c174])). % 18.16/2.98 cnf(d12, plain, sK132 = sz10 | ~aInteger0(sK132) | ~aInteger0(sK132) | 'Ts122'(sK132), inference(resolution, [status(thm)], [d11,c163])). % 18.16/2.98 cnf(d13, plain, sK132 = sz10 | 'Ts122'(sK132) | sK132 = sz10, inference(resolution, [status(thm)], [d12,d8])). % 18.16/2.98 cnf(d14, plain, ~aInteger0(smndt0(sz10)) | ~aDivisorOf0(X0,smndt0(sz10)) | ~isPrime0(X0), inference(equality_resolution, [status(thm)], [c37])). % 18.16/2.98 cnf(d15, plain, ~aInteger0(smndt0(sz10)) | ~isPrime0(sK133(smndt0(sz10))) | ~'Ts122'(smndt0(sz10)), inference(resolution, [status(thm)], [d14,c186])). % 18.16/2.98 cnf(d16, plain, ~aInteger0(smndt0(sz10)) | ~'Ts122'(smndt0(sz10)) | ~'Ts122'(smndt0(sz10)), inference(resolution, [status(thm)], [d15,c187])). % 18.16/2.98 cnf(d17, plain, ~'Ts122'(sK132) | ~aInteger0(smndt0(sz10)) | sK132 = sz10, inference(superposition, [status(thm)], [d6,d16])). % 18.16/2.98 cnf(d18, plain, sK132 = sz10 | ~'Ts122'(sK132) | ~aInteger0(sz10), inference(resolution, [status(thm)], [d17,c2])). % 18.16/2.98 cnf(d19, plain, sK132 = sz10 | ~'Ts122'(sK132), inference(resolution, [status(thm)], [c1,d18])). % 18.16/2.98 cnf(d20, plain, sK132 = sz10 | sK132 = sz10, inference(resolution, [status(thm)], [d19,d13])). % 18.16/2.98 cnf(d21, plain, ~aElementOf0(sK132,stldt0(sbsmnsldt0(xS))), inference(resolution, [status(thm)], [d20,c177])). % 18.16/2.98 cnf(d22, plain, ~aElementOf0(sz10,stldt0(sbsmnsldt0(xS))), inference(demodulation, [status(thm)], [d21,d20])). % 18.16/2.98 cnf(d23, plain, ~aInteger0(sz10) | aElementOf0(sz10,sbsmnsldt0(xS)), inference(resolution, [status(thm)], [d22,c174])). % 18.16/2.98 cnf(d24, plain, aElementOf0(sz10,sbsmnsldt0(xS)), inference(resolution, [status(thm)], [c1,d23])). % 18.16/2.98 cnf(d25, plain, ~aInteger0(sz10) | 'Ts122'(sz10), inference(resolution, [status(thm)], [d24,c163])). % 18.16/2.98 cnf(d26, plain, 'Ts122'(sz10), inference(resolution, [status(thm)], [c1,d25])). % 18.16/2.98 cnf(d27, plain, ~aInteger0(sz10) | ~aDivisorOf0(X0,sz10) | ~isPrime0(X0), inference(equality_resolution, [status(thm)], [c36])). % 18.16/2.98 cnf(d28, plain, ~aDivisorOf0(X0,sz10) | ~isPrime0(X0), inference(resolution, [status(thm)], [c1,d27])). % 18.16/2.98 cnf(d29, plain, ~isPrime0(sK133(sz10)) | ~'Ts122'(sz10), inference(resolution, [status(thm)], [d28,c186])). % 18.16/2.98 cnf(d30, plain, ~'Ts122'(sz10) | ~'Ts122'(sz10), inference(resolution, [status(thm)], [d29,c187])). % 18.16/2.98 cnf(d31, plain, $false, inference(resolution, [status(thm)], [d30,d26])). % 18.16/2.98 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------