%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : RNG088+2 : 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 : n019.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 08:25:50 AM UTC 2026 % Result : Theorem 13.71s 2.12s % Output : CNFRefutation 13.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : RNG088+2 : 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 : n019.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 06:01:51 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 13.71/2.12 % SZS status Theorem for theBenchmark.p % 13.71/2.12 % SZS output start CNFRefutation for theBenchmark.p % 13.71/2.12 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)))))))))). % 13.71/2.12 fof(m__870, hypothesis, (aSet0(xI) & (! [X0] : ((aElementOf0(X0,xI) => (! [X1] : ((aElementOf0(X1,xI) => aElementOf0(sdtpldt0(X0,X1),xI))) & ! [X1] : ((aElement0(X1) => aElementOf0(sdtasdt0(X1,X0),xI)))))) & (aIdeal0(xI) & (aSet0(xJ) & (! [X0] : ((aElementOf0(X0,xJ) => (! [X1] : ((aElementOf0(X1,xJ) => aElementOf0(sdtpldt0(X0,X1),xJ))) & ! [X1] : ((aElement0(X1) => aElementOf0(sdtasdt0(X1,X0),xJ)))))) & aIdeal0(xJ))))))). % 13.71/2.12 fof(m__934, hypothesis, (aElementOf0(xk,xI) & (aElementOf0(xl,xJ) & xx = sdtpldt0(xk,xl)))). % 13.71/2.12 fof(m__967, hypothesis, (aElementOf0(xm,xI) & (aElementOf0(xn,xJ) & xy = sdtpldt0(xm,xn)))). % 13.71/2.12 fof(m__, conjecture, (aElementOf0(sdtpldt0(xk,xm),xI) & aElementOf0(sdtpldt0(xl,xn),xJ))). % 13.71/2.12 fof(negated_conjecture, negated_conjecture, ~((aElementOf0(sdtpldt0(xk,xm),xI) & aElementOf0(sdtpldt0(xl,xn),xJ))), inference(negate_conjecture, [status(cth)], [m__])). % 13.71/2.12 cnf(c56, plain, ~aIdeal0(X0) | X1(X0), inference(clausification, [status(esa)], [mDefIdeal])). % 13.71/2.12 cnf(c58, plain, ~X0(X1) | ~aElementOf0(X2,X1) | ~aElementOf0(X3,X1) | aElementOf0(sdtpldt0(X2,X3),X1), inference(clausification, [status(esa)], [mDefIdeal])). % 13.71/2.12 cnf(c68, plain, aIdeal0(xI), inference(clausification, [status(esa)], [m__870])). % 13.71/2.12 cnf(c72, plain, aIdeal0(xJ), inference(clausification, [status(esa)], [m__870])). % 13.71/2.12 cnf(c82, plain, aElementOf0(xk,xI), inference(clausification, [status(esa)], [m__934])). % 13.71/2.12 cnf(c83, plain, aElementOf0(xl,xJ), inference(clausification, [status(esa)], [m__934])). % 13.71/2.12 cnf(c85, plain, aElementOf0(xm,xI), inference(clausification, [status(esa)], [m__967])). % 13.71/2.12 cnf(c86, plain, aElementOf0(xn,xJ), inference(clausification, [status(esa)], [m__967])). % 13.71/2.12 cnf(c88, plain, ~aElementOf0(sdtpldt0(xk,xm),xI) | ~aElementOf0(sdtpldt0(xl,xn),xJ), inference(clausification, [status(esa)], [negated_conjecture])). % 13.71/2.12 cnf(d0, plain, ~aElementOf0(xn,xJ) | ~aElementOf0(xl,xJ) | ~'Ts53'(xJ) | ~aElementOf0(sdtpldt0(xk,xm),xI), inference(resolution, [status(thm)], [c58,c88])). % 13.71/2.12 cnf(d1, plain, ~aElementOf0(sdtpldt0(xk,xm),xI) | ~aElementOf0(xn,xJ) | ~'Ts53'(xJ), inference(resolution, [status(thm)], [c83,d0])). % 13.71/2.12 cnf(d2, plain, ~aElementOf0(sdtpldt0(xk,xm),xI) | ~'Ts53'(xJ), inference(resolution, [status(thm)], [c86,d1])). % 13.71/2.12 cnf(d3, plain, 'Ts53'(xJ), inference(resolution, [status(thm)], [c56,c72])). % 13.71/2.12 cnf(d4, plain, ~aElementOf0(sdtpldt0(xk,xm),xI), inference(resolution, [status(thm)], [d3,d2])). % 13.71/2.12 cnf(d5, plain, ~aElementOf0(xm,xI) | ~aElementOf0(xk,xI) | ~'Ts53'(xI), inference(resolution, [status(thm)], [d4,c58])). % 13.71/2.12 cnf(d6, plain, ~aElementOf0(xm,xI) | ~'Ts53'(xI), inference(resolution, [status(thm)], [c82,d5])). % 13.71/2.12 cnf(d7, plain, ~'Ts53'(xI), inference(resolution, [status(thm)], [c85,d6])). % 13.71/2.12 cnf(d8, plain, 'Ts53'(xI), inference(resolution, [status(thm)], [c56,c68])). % 13.71/2.12 cnf(d9, plain, $false, inference(resolution, [status(thm)], [d8,d7])). % 13.71/2.12 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------