%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : RNG095+1 : 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 : n005.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 08:25:51 AM UTC 2026 % Result : Theorem 51.99s 9.05s % Output : CNFRefutation 51.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : RNG095+1 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.10/0.35 % Computer : n005.cluster.edu % 0.10/0.35 % Model : x86_64 x86_64 % 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.35 % Memory : 8046.5625MB % 0.10/0.35 % OS : Linux 6.8.0-71-generic % 0.10/0.35 % CPULimit : 300 % 0.10/0.35 % WCLimit : 300 % 0.10/0.35 % DateTime : Sat Sep 26 06:03:31 UTC 2026 % 0.10/0.35 % CPUTime : % 0.10/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 51.99/9.05 % SZS status Theorem for theBenchmark.p % 51.99/9.05 % SZS output start CNFRefutation for theBenchmark.p % 51.99/9.05 fof(mSortsC_01, axiom, aElement0(sz10)). % 51.99/9.05 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))))))))))). % 51.99/9.05 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)))))))))). % 51.99/9.05 fof(m__1205, hypothesis, (aIdeal0(xI) & aIdeal0(xJ))). % 51.99/9.05 fof(m__1205_03, hypothesis, ! [X0] : ((aElement0(X0) => aElementOf0(X0,sdtpldt1(xI,xJ))))). % 51.99/9.05 fof(m__, conjecture, ? [X0] : ? [X1] : ((aElementOf0(X0,xI) & (aElementOf0(X1,xJ) & sdtpldt0(X0,X1) = sz10)))). % 51.99/9.05 fof(negated_conjecture, negated_conjecture, ~? [X0] : ? [X1] : ((aElementOf0(X0,xI) & (aElementOf0(X1,xJ) & sdtpldt0(X0,X1) = sz10))), inference(negate_conjecture, [status(cth)], [m__])). % 51.99/9.05 cnf(c1, plain, aElement0(sz10), inference(clausification, [status(esa)], [mSortsC_01])). % 51.99/9.05 cnf(c28, plain, ~aSet0(X0) | ~aSet0(X1) | X2 != sdtpldt1(X0,X1) | X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefSSum])). % 51.99/9.05 cnf(c31, plain, ~X0(X1,X2,X3) | ~aElementOf0(X4,X3) | aElementOf0(sK38(X1,X2,X4),X1), inference(clausification, [status(esa)], [mDefSSum])). % 51.99/9.05 cnf(c32, plain, ~X0(X1,X2,X3) | ~aElementOf0(X4,X3) | aElementOf0(sK39(X1,X2,X4),X2), inference(clausification, [status(esa)], [mDefSSum])). % 51.99/9.05 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])). % 51.99/9.05 cnf(c55, plain, ~aIdeal0(X0) | aSet0(X0), inference(clausification, [status(esa)], [mDefIdeal])). % 51.99/9.05 cnf(c69, plain, aIdeal0(xI), inference(clausification, [status(esa)], [m__1205])). % 51.99/9.05 cnf(c70, plain, aIdeal0(xJ), inference(clausification, [status(esa)], [m__1205])). % 51.99/9.05 cnf(c71, plain, ~aElement0(X0) | aElementOf0(X0,sdtpldt1(xI,xJ)), inference(clausification, [status(esa)], [m__1205_03])). % 51.99/9.05 cnf(c74, plain, ~aElementOf0(X0,xI) | ~aElementOf0(X1,xJ) | sdtpldt0(X0,X1) != sz10, inference(clausification, [status(esa)], [negated_conjecture])). % 51.99/9.05 cnf(d0, plain, ~aSet0(X0) | ~aSet0(X1) | 'Ts33'(X1,X0,sdtpldt1(X1,X0)), inference(equality_resolution, [status(thm)], [c28])). % 51.99/9.05 cnf(d1, plain, X2 != sz10 | ~aElementOf0(sK38(X0,X1,X2),xI) | ~aElementOf0(sK39(X0,X1,X2),xJ) | ~aElementOf0(X2,X3) | ~'Ts33'(X0,X1,X3), inference(superposition, [status(thm)], [c33,c74])). % 51.99/9.05 cnf(d2, plain, ~aElementOf0(sz10,X0) | ~aElementOf0(sK38(X1,X2,sz10),xI) | ~aElementOf0(sK39(X1,X2,sz10),xJ) | ~'Ts33'(X1,X2,X0), inference(equality_resolution, [status(thm)], [d1])). % 51.99/9.05 cnf(d3, plain, ~aElementOf0(sz10,X0) | ~aElementOf0(sK38(X1,xJ,sz10),xI) | ~'Ts33'(X1,xJ,X0) | ~aElementOf0(sz10,X2) | ~'Ts33'(X1,xJ,X2), inference(resolution, [status(thm)], [d2,c32])). % 51.99/9.05 cnf(d4, plain, ~aElementOf0(sz10,X0) | ~aElementOf0(sz10,X1) | ~'Ts33'(xI,xJ,X0) | ~'Ts33'(xI,xJ,X1) | ~aElementOf0(sz10,X2) | ~'Ts33'(xI,xJ,X2), inference(resolution, [status(thm)], [d3,c31])). % 51.99/9.05 cnf(d5, plain, ~aSet0(xI) | ~aSet0(xJ) | ~aElementOf0(sz10,X0) | ~aElementOf0(sz10,X1) | ~aElementOf0(sz10,sdtpldt1(xI,xJ)) | ~'Ts33'(xI,xJ,X0) | ~'Ts33'(xI,xJ,X1), inference(resolution, [status(thm)], [d0,d4])). % 51.99/9.05 cnf(d6, plain, aSet0(xI), inference(resolution, [status(thm)], [c55,c69])). % 51.99/9.05 cnf(d7, plain, ~aElementOf0(sz10,X0) | ~aElementOf0(sz10,X1) | ~aElementOf0(sz10,sdtpldt1(xI,xJ)) | ~aSet0(xJ) | ~'Ts33'(xI,xJ,X0) | ~'Ts33'(xI,xJ,X1), inference(resolution, [status(thm)], [d6,d5])). % 51.99/9.05 cnf(d8, plain, aSet0(xJ), inference(resolution, [status(thm)], [c55,c70])). % 51.99/9.05 cnf(d9, plain, ~aElementOf0(sz10,X0) | ~aElementOf0(sz10,X1) | ~aElementOf0(sz10,sdtpldt1(xI,xJ)) | ~'Ts33'(xI,xJ,X0) | ~'Ts33'(xI,xJ,X1), inference(resolution, [status(thm)], [d8,d7])). % 51.99/9.05 cnf(d10, plain, ~aElementOf0(sz10,X0) | ~aElementOf0(sz10,X1) | ~'Ts33'(xI,xJ,X0) | ~'Ts33'(xI,xJ,X1) | ~aElement0(sz10), inference(resolution, [status(thm)], [d9,c71])). % 51.99/9.05 cnf(d11, plain, ~aElementOf0(sz10,X0) | ~aElementOf0(sz10,X1) | ~'Ts33'(xI,xJ,X0) | ~'Ts33'(xI,xJ,X1), inference(resolution, [status(thm)], [c1,d10])). % 51.99/9.05 cnf(d12, plain, ~aElementOf0(sz10,X0) | ~aElementOf0(sz10,sdtpldt1(xI,xJ)) | ~'Ts33'(xI,xJ,X0) | ~aSet0(xI) | ~aSet0(xJ), inference(resolution, [status(thm)], [d11,d0])). % 51.99/9.05 cnf(d13, plain, ~aElementOf0(sz10,X0) | ~aElementOf0(sz10,sdtpldt1(xI,xJ)) | ~aSet0(xJ) | ~'Ts33'(xI,xJ,X0), inference(resolution, [status(thm)], [d6,d12])). % 51.99/9.05 cnf(d14, plain, ~aElementOf0(sz10,X0) | ~aElementOf0(sz10,sdtpldt1(xI,xJ)) | ~'Ts33'(xI,xJ,X0), inference(resolution, [status(thm)], [d8,d13])). % 51.99/9.05 cnf(d15, plain, ~aElementOf0(sz10,X0) | ~'Ts33'(xI,xJ,X0) | ~aElement0(sz10), inference(resolution, [status(thm)], [d14,c71])). % 51.99/9.05 cnf(d16, plain, ~aElementOf0(sz10,X0) | ~'Ts33'(xI,xJ,X0), inference(resolution, [status(thm)], [c1,d15])). % 51.99/9.05 cnf(d17, plain, ~aElementOf0(sz10,sdtpldt1(xI,xJ)) | ~aSet0(xI) | ~aSet0(xJ), inference(resolution, [status(thm)], [d16,d0])). % 51.99/9.05 cnf(d18, plain, ~aElementOf0(sz10,sdtpldt1(xI,xJ)) | ~aSet0(xJ), inference(resolution, [status(thm)], [d6,d17])). % 51.99/9.05 cnf(d19, plain, ~aElementOf0(sz10,sdtpldt1(xI,xJ)), inference(resolution, [status(thm)], [d8,d18])). % 51.99/9.05 cnf(d20, plain, ~aElement0(sz10), inference(resolution, [status(thm)], [d19,c71])). % 51.99/9.05 cnf(d21, plain, $false, inference(resolution, [status(thm)], [c1,d20])). % 51.99/9.05 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------