%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM443+4 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n002.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 24.99s 11.58s % Output : CNFRefutation 24.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM443+4 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.09/5.37 % Computer : n002.cluster.edu % 0.09/5.37 % Model : x86_64 x86_64 % 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/5.37 % Memory : 8046.5625MB % 0.09/5.37 % OS : Linux 6.8.0-71-generic % 0.09/5.37 % CPULimit : 300 % 0.09/5.37 % WCLimit : 300 % 0.09/5.37 % DateTime : Sat Sep 26 02:47:16 UTC 2026 % 0.09/5.38 % CPUTime : % 0.09/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 24.99/11.58 % SZS status Theorem for theBenchmark.p % 24.99/11.58 % SZS output start CNFRefutation for theBenchmark.p % 24.99/11.58 fof(mEquMod, definition, ! [X0] : ! [X1] : ! [X2] : (((aInteger0(X0) & (aInteger0(X1) & (aInteger0(X2) & X2 != sz00))) => (sdteqdtlpzmzozddtrp0(X0,X1,X2) <=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))))))). % 24.99/11.58 fof(mEquModSym, axiom, ! [X0] : ! [X1] : ! [X2] : (((aInteger0(X0) & (aInteger0(X1) & (aInteger0(X2) & X2 != sz00))) => (sdteqdtlpzmzozddtrp0(X0,X1,X2) => sdteqdtlpzmzozddtrp0(X1,X0,X2))))). % 24.99/11.58 fof(mEquModTrn, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((aInteger0(X0) & (aInteger0(X1) & (aInteger0(X2) & (X2 != sz00 & aInteger0(X3))))) => ((sdteqdtlpzmzozddtrp0(X0,X1,X2) & sdteqdtlpzmzozddtrp0(X1,X3,X2)) => sdteqdtlpzmzozddtrp0(X0,X3,X2))))). % 24.99/11.58 fof(m__1962, hypothesis, (aInteger0(xa) & (aInteger0(xq) & xq != sz00))). % 24.99/11.58 fof(m__2010, hypothesis, (aInteger0(xb) & aInteger0(xc))). % 24.99/11.58 fof(m__, conjecture, ((aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) & (! [X0] : (((aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) => (aInteger0(X0) & (? [X1] : ((aInteger0(X1) & sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)))) & (aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa))) & sdteqdtlpzmzozddtrp0(X0,xa,xq))))) & ((aInteger0(X0) & (? [X1] : ((aInteger0(X1) & sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)))) | (aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa))) | sdteqdtlpzmzozddtrp0(X0,xa,xq)))) => aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))))) & (~aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq)) & (aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) & (? [X0] : ((aInteger0(X0) & sdtasdt0(xq,X0) = sdtpldt0(xc,smndt0(xb)))) & (aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb))) & sdteqdtlpzmzozddtrp0(xc,xb,xq))))))) => ((aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) & ! [X0] : (((aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) => (aInteger0(X0) & (? [X1] : ((aInteger0(X1) & sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)))) & (aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa))) & sdteqdtlpzmzozddtrp0(X0,xa,xq))))) & ((aInteger0(X0) & (? [X1] : ((aInteger0(X1) & sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)))) | (aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa))) | sdteqdtlpzmzozddtrp0(X0,xa,xq)))) => aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)))))) => (~aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq)) | aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))))))). % 24.99/11.58 fof(negated_conjecture, negated_conjecture, ~(((aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) & (! [X0] : (((aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) => (aInteger0(X0) & (? [X1] : ((aInteger0(X1) & sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)))) & (aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa))) & sdteqdtlpzmzozddtrp0(X0,xa,xq))))) & ((aInteger0(X0) & (? [X1] : ((aInteger0(X1) & sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)))) | (aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa))) | sdteqdtlpzmzozddtrp0(X0,xa,xq)))) => aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))))) & (~aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq)) & (aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) & (? [X0] : ((aInteger0(X0) & sdtasdt0(xq,X0) = sdtpldt0(xc,smndt0(xb)))) & (aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb))) & sdteqdtlpzmzozddtrp0(xc,xb,xq))))))) => ((aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) & ! [X0] : (((aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) => (aInteger0(X0) & (? [X1] : ((aInteger0(X1) & sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)))) & (aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa))) & sdteqdtlpzmzozddtrp0(X0,xa,xq))))) & ((aInteger0(X0) & (? [X1] : ((aInteger0(X1) & sdtasdt0(xq,X1) = sdtpldt0(X0,smndt0(xa)))) | (aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa))) | sdteqdtlpzmzozddtrp0(X0,xa,xq)))) => aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)))))) => (~aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq)) | aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))))))), inference(negate_conjecture, [status(cth)], [m__])). % 24.99/11.58 cnf(c30, plain, ~aDivisorOf0(X0,sdtpldt0(X1,smndt0(X2))) | ~aInteger0(X0) | ~aInteger0(X1) | sdteqdtlpzmzozddtrp0(X1,X2,X0) | ~aInteger0(X2) | X0 = sz00, inference(clausification, [status(esa)], [mEquMod])). % 24.99/11.58 cnf(c32, plain, ~sdteqdtlpzmzozddtrp0(X0,X1,X2) | ~aInteger0(X0) | ~aInteger0(X1) | ~aInteger0(X2) | sdteqdtlpzmzozddtrp0(X1,X0,X2) | X2 = sz00, inference(clausification, [status(esa)], [mEquModSym])). % 24.99/11.58 cnf(c33, plain, ~sdteqdtlpzmzozddtrp0(X0,X1,X2) | sdteqdtlpzmzozddtrp0(X3,X1,X2) | ~sdteqdtlpzmzozddtrp0(X3,X0,X2) | X2 = sz00 | ~aInteger0(X0) | ~aInteger0(X2) | ~aInteger0(X1) | ~aInteger0(X3), inference(clausification, [status(esa)], [mEquModTrn])). % 24.99/11.58 cnf(c131, plain, aInteger0(xa), inference(clausification, [status(esa)], [m__1962])). % 24.99/11.58 cnf(c132, plain, aInteger0(xq), inference(clausification, [status(esa)], [m__1962])). % 24.99/11.58 cnf(c133, plain, xq != sz00, inference(clausification, [status(esa)], [m__1962])). % 24.99/11.58 cnf(c134, plain, aInteger0(xb), inference(clausification, [status(esa)], [m__2010])). % 24.99/11.58 cnf(c137, plain, ~aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) | X1(X0), inference(clausification, [status(esa)], [negated_conjecture])). % 24.99/11.58 cnf(c140, plain, ~aInteger0(X0) | ~sdteqdtlpzmzozddtrp0(X0,xa,xq) | aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)), inference(clausification, [status(esa)], [negated_conjecture])). % 24.99/11.58 cnf(c141, plain, ~aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq)), inference(clausification, [status(esa)], [negated_conjecture])). % 24.99/11.58 cnf(c146, plain, sdteqdtlpzmzozddtrp0(xc,xb,xq), inference(clausification, [status(esa)], [negated_conjecture])). % 24.99/11.58 cnf(c148, plain, ~aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) | X1(X0), inference(clausification, [status(esa)], [negated_conjecture])). % 24.99/11.58 cnf(c152, plain, aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq)), inference(clausification, [status(esa)], [negated_conjecture])). % 24.99/11.58 cnf(c154, plain, ~X0(X1) | aInteger0(X1), inference(clausification, [status(esa)], [negated_conjecture])). % 24.99/11.58 cnf(c156, plain, ~X0(X1) | sdtasdt0(xq,sK114(X1)) = sdtpldt0(X1,smndt0(xa)), inference(clausification, [status(esa)], [negated_conjecture])). % 24.99/11.58 cnf(c162, plain, ~X0(X1) | aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa))), inference(clausification, [status(esa)], [negated_conjecture])). % 24.99/11.58 cnf(d0, plain, 'Ts107'(xc), inference(resolution, [status(thm)], [c137,c152])). % 24.99/11.58 cnf(d1, plain, sdtasdt0(xq,sK114(xc)) = sdtpldt0(xc,smndt0(xa)), inference(resolution, [status(thm)], [c156,d0])). % 24.99/11.58 cnf(d2, plain, aDivisorOf0(xq,sdtasdt0(xq,sK114(xc))) | ~'Ts108'(xc), inference(superposition, [status(thm)], [d1,c162])). % 24.99/11.58 cnf(d3, plain, 'Ts108'(xc), inference(resolution, [status(thm)], [c148,c152])). % 24.99/11.58 cnf(d4, plain, aDivisorOf0(xq,sdtasdt0(xq,sK114(xc))), inference(resolution, [status(thm)], [d3,d2])). % 24.99/11.58 cnf(d5, plain, ~aDivisorOf0(X0,sdtasdt0(xq,sK114(xc))) | X0 = sz00 | ~aInteger0(X0) | ~aInteger0(xc) | ~aInteger0(xa) | sdteqdtlpzmzozddtrp0(xc,xa,X0), inference(superposition, [status(thm)], [d1,c30])). % 24.99/11.58 cnf(d6, plain, aInteger0(xc), inference(resolution, [status(thm)], [d0,c154])). % 24.99/11.58 cnf(d7, plain, X0 = sz00 | ~aInteger0(X0) | ~aInteger0(xa) | ~aDivisorOf0(X0,sdtasdt0(xq,sK114(xc))) | sdteqdtlpzmzozddtrp0(xc,xa,X0), inference(resolution, [status(thm)], [d6,d5])). % 24.99/11.58 cnf(d8, plain, X0 = sz00 | ~aInteger0(X0) | ~aDivisorOf0(X0,sdtasdt0(xq,sK114(xc))) | sdteqdtlpzmzozddtrp0(xc,xa,X0), inference(resolution, [status(thm)], [c131,d7])). % 24.99/11.58 cnf(d9, plain, xq = sz00 | ~aInteger0(xq) | sdteqdtlpzmzozddtrp0(xc,xa,xq), inference(resolution, [status(thm)], [d8,d4])). % 24.99/11.58 cnf(d10, plain, xq = sz00 | sdteqdtlpzmzozddtrp0(xc,xa,xq), inference(resolution, [status(thm)], [c132,d9])). % 24.99/11.58 cnf(d11, plain, sdteqdtlpzmzozddtrp0(xc,xa,xq), inference(resolution, [status(thm)], [c133,d10])). % 24.99/11.58 cnf(d12, plain, xq = sz00 | ~aInteger0(xb) | ~aInteger0(xq) | ~aInteger0(xc) | sdteqdtlpzmzozddtrp0(xb,xc,xq), inference(resolution, [status(thm)], [c32,c146])). % 24.99/11.58 cnf(d13, plain, xq = sz00 | ~aInteger0(xq) | ~aInteger0(xb) | sdteqdtlpzmzozddtrp0(xb,xc,xq), inference(resolution, [status(thm)], [d6,d12])). % 24.99/11.58 cnf(d14, plain, xq = sz00 | ~aInteger0(xb) | sdteqdtlpzmzozddtrp0(xb,xc,xq), inference(resolution, [status(thm)], [c132,d13])). % 24.99/11.58 cnf(d15, plain, ~aInteger0(xb) | sdteqdtlpzmzozddtrp0(xb,xc,xq), inference(resolution, [status(thm)], [c133,d14])). % 24.99/11.58 cnf(d16, plain, sdteqdtlpzmzozddtrp0(xb,xc,xq), inference(resolution, [status(thm)], [c134,d15])). % 24.99/11.58 cnf(d17, plain, xq = sz00 | ~aInteger0(xq) | ~aInteger0(xc) | ~aInteger0(xb) | ~aInteger0(X0) | ~sdteqdtlpzmzozddtrp0(xc,X0,xq) | sdteqdtlpzmzozddtrp0(xb,X0,xq), inference(resolution, [status(thm)], [d16,c33])). % 24.99/11.58 cnf(d18, plain, xq = sz00 | ~aInteger0(X0) | ~aInteger0(xq) | ~aInteger0(xb) | sdteqdtlpzmzozddtrp0(xb,X0,xq) | ~sdteqdtlpzmzozddtrp0(xc,X0,xq), inference(resolution, [status(thm)], [d6,d17])). % 24.99/11.58 cnf(d19, plain, xq = sz00 | ~aInteger0(X0) | ~aInteger0(xb) | sdteqdtlpzmzozddtrp0(xb,X0,xq) | ~sdteqdtlpzmzozddtrp0(xc,X0,xq), inference(resolution, [status(thm)], [c132,d18])). % 24.99/11.58 cnf(d20, plain, ~aInteger0(X0) | ~aInteger0(xb) | sdteqdtlpzmzozddtrp0(xb,X0,xq) | ~sdteqdtlpzmzozddtrp0(xc,X0,xq), inference(resolution, [status(thm)], [c133,d19])). % 24.99/11.58 cnf(d21, plain, ~aInteger0(X0) | sdteqdtlpzmzozddtrp0(xb,X0,xq) | ~sdteqdtlpzmzozddtrp0(xc,X0,xq), inference(resolution, [status(thm)], [c134,d20])). % 24.99/11.58 cnf(d22, plain, ~aInteger0(xa) | sdteqdtlpzmzozddtrp0(xb,xa,xq), inference(resolution, [status(thm)], [d21,d11])). % 24.99/11.58 cnf(d23, plain, sdteqdtlpzmzozddtrp0(xb,xa,xq), inference(resolution, [status(thm)], [c131,d22])). % 24.99/11.58 cnf(d24, plain, ~aInteger0(xb) | ~sdteqdtlpzmzozddtrp0(xb,xa,xq), inference(resolution, [status(thm)], [c140,c141])). % 24.99/11.58 cnf(d25, plain, ~sdteqdtlpzmzozddtrp0(xb,xa,xq), inference(resolution, [status(thm)], [c134,d24])). % 24.99/11.58 cnf(d26, plain, $false, inference(resolution, [status(thm)], [d25,d23])). % 24.99/11.58 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------