%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : RNG087+1 : 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 : n018.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 08:25:49 AM UTC 2026 % Result : Theorem 74.08s 16.95s % Output : CNFRefutation 74.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : RNG087+1 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.10/0.36 % Computer : n018.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 26 06:03:52 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 74.08/16.95 % SZS status Theorem for theBenchmark.p % 74.08/16.95 % SZS output start CNFRefutation for theBenchmark.p % 74.08/16.95 fof(mDefSSum, definition, ! [X0] : ! [X1] : (((aSet0(X0) & aSet0(X1)) => ! [X2] : ((X2 = sdtpldt1(X0,X1) <=> (aSet0(X2) & ! [X3] : ((aElementOf0(X3,X2) <=> ? [X4] : ? [X5] : ((aElementOf0(X4,X0) & (aElementOf0(X5,X1) & sdtpldt0(X4,X5) = X3))))))))))). % 74.08/16.95 fof(mDefIdeal, definition, ! [X0] : ((aIdeal0(X0) <=> (aSet0(X0) & ! [X1] : ((aElementOf0(X1,X0) => (! [X2] : ((aElementOf0(X2,X0) => aElementOf0(sdtpldt0(X1,X2),X0))) & ! [X2] : ((aElement0(X2) => aElementOf0(sdtasdt0(X2,X1),X0)))))))))). % 74.08/16.95 fof(m__870, hypothesis, (aIdeal0(xI) & aIdeal0(xJ))). % 74.08/16.95 fof(m__901, hypothesis, (aElementOf0(xx,sdtpldt1(xI,xJ)) & (aElementOf0(xy,sdtpldt1(xI,xJ)) & aElement0(xz)))). % 74.08/16.95 fof(m__, conjecture, ? [X0] : ? [X1] : ((aElementOf0(X0,xI) & (aElementOf0(X1,xJ) & xy = sdtpldt0(X0,X1))))). % 74.08/16.95 fof(negated_conjecture, negated_conjecture, ~? [X0] : ? [X1] : ((aElementOf0(X0,xI) & (aElementOf0(X1,xJ) & xy = sdtpldt0(X0,X1)))), inference(negate_conjecture, [status(cth)], [m__])). % 74.08/16.95 cnf(c28, plain, ~aSet0(X0) | ~aSet0(X1) | X2 != sdtpldt1(X0,X1) | X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefSSum])). % 74.08/16.95 cnf(c31, plain, ~X0(X1,X2,X3) | ~aElementOf0(X4,X3) | aElementOf0(sK38(X1,X2,X4),X1), inference(clausification, [status(esa)], [mDefSSum])). % 74.08/16.95 cnf(c32, plain, ~X0(X1,X2,X3) | ~aElementOf0(X4,X3) | aElementOf0(sK39(X1,X2,X4),X2), inference(clausification, [status(esa)], [mDefSSum])). % 74.08/16.95 cnf(c33, plain, ~X0(X1,X2,X3) | ~aElementOf0(X4,X3) | sdtpldt0(sK38(X1,X2,X4),sK39(X1,X2,X4)) = X4, inference(clausification, [status(esa)], [mDefSSum])). % 74.08/16.95 cnf(c55, plain, ~aIdeal0(X0) | aSet0(X0), inference(clausification, [status(esa)], [mDefIdeal])). % 74.08/16.95 cnf(c65, plain, aIdeal0(xI), inference(clausification, [status(esa)], [m__870])). % 74.08/16.95 cnf(c66, plain, aIdeal0(xJ), inference(clausification, [status(esa)], [m__870])). % 74.08/16.95 cnf(c68, plain, aElementOf0(xy,sdtpldt1(xI,xJ)), inference(clausification, [status(esa)], [m__901])). % 74.08/16.95 cnf(c73, plain, ~aElementOf0(X0,xI) | ~aElementOf0(X1,xJ) | xy != sdtpldt0(X0,X1), inference(clausification, [status(esa)], [negated_conjecture])). % 74.08/16.95 cnf(d0, plain, ~aSet0(X0) | ~aSet0(X1) | 'Ts33'(X1,X0,sdtpldt1(X1,X0)), inference(equality_resolution, [status(thm)], [c28])). % 74.08/16.95 cnf(d1, plain, xy != X2 | ~aElementOf0(sK39(X0,X1,X2),xJ) | ~aElementOf0(sK38(X0,X1,X2),xI) | ~aElementOf0(X2,X3) | ~'Ts33'(X0,X1,X3), inference(superposition, [status(thm)], [c33,c73])). % 74.08/16.95 cnf(d2, plain, ~aElementOf0(xy,X0) | ~aElementOf0(sK38(X1,X2,xy),xI) | ~aElementOf0(sK39(X1,X2,xy),xJ) | ~'Ts33'(X1,X2,X0), inference(equality_resolution, [status(thm)], [d1])). % 74.08/16.95 cnf(d3, plain, ~aElementOf0(sK38(X0,xJ,xy),xI) | ~aElementOf0(xy,X1) | ~'Ts33'(X0,xJ,X1) | ~aElementOf0(xy,X2) | ~'Ts33'(X0,xJ,X2), inference(resolution, [status(thm)], [d2,c32])). % 74.08/16.95 cnf(d4, plain, ~aElementOf0(xy,X0) | ~aElementOf0(xy,X1) | ~'Ts33'(xI,xJ,X0) | ~'Ts33'(xI,xJ,X1) | ~aElementOf0(xy,X2) | ~'Ts33'(xI,xJ,X2), inference(resolution, [status(thm)], [d3,c31])). % 74.08/16.95 cnf(d5, plain, ~aSet0(xI) | ~aSet0(xJ) | ~aElementOf0(xy,X0) | ~aElementOf0(xy,X1) | ~aElementOf0(xy,sdtpldt1(xI,xJ)) | ~'Ts33'(xI,xJ,X0) | ~'Ts33'(xI,xJ,X1), inference(resolution, [status(thm)], [d0,d4])). % 74.08/16.95 cnf(d6, plain, aSet0(xJ), inference(resolution, [status(thm)], [c55,c66])). % 74.08/16.95 cnf(d7, plain, ~aElementOf0(xy,X0) | ~aElementOf0(xy,X1) | ~aElementOf0(xy,sdtpldt1(xI,xJ)) | ~aSet0(xI) | ~'Ts33'(xI,xJ,X0) | ~'Ts33'(xI,xJ,X1), inference(resolution, [status(thm)], [d6,d5])). % 74.08/16.95 cnf(d8, plain, aSet0(xI), inference(resolution, [status(thm)], [c55,c65])). % 74.08/16.95 cnf(d9, plain, ~aElementOf0(xy,X0) | ~aElementOf0(xy,X1) | ~aElementOf0(xy,sdtpldt1(xI,xJ)) | ~'Ts33'(xI,xJ,X0) | ~'Ts33'(xI,xJ,X1), inference(resolution, [status(thm)], [d8,d7])). % 74.08/16.95 cnf(d10, plain, ~aElementOf0(xy,X0) | ~aElementOf0(xy,X1) | ~'Ts33'(xI,xJ,X0) | ~'Ts33'(xI,xJ,X1), inference(resolution, [status(thm)], [c68,d9])). % 74.08/16.95 cnf(d11, plain, ~aElementOf0(xy,X0) | ~aElementOf0(xy,sdtpldt1(xI,xJ)) | ~'Ts33'(xI,xJ,X0) | ~aSet0(xI) | ~aSet0(xJ), inference(resolution, [status(thm)], [d10,d0])). % 74.08/16.95 cnf(d12, plain, ~aElementOf0(xy,X0) | ~aElementOf0(xy,sdtpldt1(xI,xJ)) | ~aSet0(xI) | ~'Ts33'(xI,xJ,X0), inference(resolution, [status(thm)], [d6,d11])). % 74.08/16.95 cnf(d13, plain, ~aElementOf0(xy,X0) | ~aElementOf0(xy,sdtpldt1(xI,xJ)) | ~'Ts33'(xI,xJ,X0), inference(resolution, [status(thm)], [d8,d12])). % 74.08/16.95 cnf(d14, plain, ~aElementOf0(xy,X0) | ~'Ts33'(xI,xJ,X0), inference(resolution, [status(thm)], [c68,d13])). % 74.08/16.95 cnf(d15, plain, ~aElementOf0(xy,sdtpldt1(xI,xJ)) | ~aSet0(xI) | ~aSet0(xJ), inference(resolution, [status(thm)], [d14,d0])). % 74.08/16.95 cnf(d16, plain, ~aElementOf0(xy,sdtpldt1(xI,xJ)) | ~aSet0(xI), inference(resolution, [status(thm)], [d6,d15])). % 74.08/16.95 cnf(d17, plain, ~aElementOf0(xy,sdtpldt1(xI,xJ)), inference(resolution, [status(thm)], [d8,d16])). % 74.08/16.95 cnf(d18, plain, $false, inference(resolution, [status(thm)], [c68,d17])). % 74.08/16.95 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------