%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : RNG089+2 : 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 : n013.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 13.56s 2.20s % Output : CNFRefutation 13.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : RNG089+2 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.09/0.36 % Computer : n013.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % 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 06:01:36 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 13.56/2.20 % SZS status Theorem for theBenchmark.p % 13.56/2.20 % SZS output start CNFRefutation for theBenchmark.p % 13.56/2.20 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)))))))))). % 13.56/2.20 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))))))). % 13.56/2.20 fof(m__901, hypothesis, (? [X0] : ? [X1] : ((aElementOf0(X0,xI) & (aElementOf0(X1,xJ) & sdtpldt0(X0,X1) = xx))) & (aElementOf0(xx,sdtpldt1(xI,xJ)) & (? [X0] : ? [X1] : ((aElementOf0(X0,xI) & (aElementOf0(X1,xJ) & sdtpldt0(X0,X1) = xy))) & (aElementOf0(xy,sdtpldt1(xI,xJ)) & aElement0(xz)))))). % 13.56/2.20 fof(m__934, hypothesis, (aElementOf0(xk,xI) & (aElementOf0(xl,xJ) & xx = sdtpldt0(xk,xl)))). % 13.56/2.20 fof(m__, conjecture, (aElementOf0(sdtasdt0(xz,xk),xI) & aElementOf0(sdtasdt0(xz,xl),xJ))). % 13.56/2.20 fof(negated_conjecture, negated_conjecture, ~((aElementOf0(sdtasdt0(xz,xk),xI) & aElementOf0(sdtasdt0(xz,xl),xJ))), inference(negate_conjecture, [status(cth)], [m__])). % 13.56/2.20 cnf(c56, plain, ~aIdeal0(X0) | X1(X0), inference(clausification, [status(esa)], [mDefIdeal])). % 13.56/2.20 cnf(c59, plain, ~X0(X1) | ~aElementOf0(X2,X1) | ~aElement0(X3) | aElementOf0(sdtasdt0(X3,X2),X1), inference(clausification, [status(esa)], [mDefIdeal])). % 13.56/2.20 cnf(c68, plain, aIdeal0(xI), inference(clausification, [status(esa)], [m__870])). % 13.56/2.20 cnf(c72, plain, aIdeal0(xJ), inference(clausification, [status(esa)], [m__870])). % 13.56/2.20 cnf(c81, plain, aElement0(xz), inference(clausification, [status(esa)], [m__901])). % 13.56/2.20 cnf(c82, plain, aElementOf0(xk,xI), inference(clausification, [status(esa)], [m__934])). % 13.56/2.20 cnf(c83, plain, aElementOf0(xl,xJ), inference(clausification, [status(esa)], [m__934])). % 13.56/2.20 cnf(c90, plain, ~aElementOf0(sdtasdt0(xz,xk),xI) | ~aElementOf0(sdtasdt0(xz,xl),xJ), inference(clausification, [status(esa)], [negated_conjecture])). % 13.56/2.20 cnf(d0, plain, ~aElement0(xz) | ~aElementOf0(xl,xJ) | ~'Ts53'(xJ) | ~aElementOf0(sdtasdt0(xz,xk),xI), inference(resolution, [status(thm)], [c59,c90])). % 13.56/2.20 cnf(d1, plain, ~aElementOf0(sdtasdt0(xz,xk),xI) | ~aElementOf0(xl,xJ) | ~'Ts53'(xJ), inference(resolution, [status(thm)], [c81,d0])). % 13.56/2.20 cnf(d2, plain, ~aElementOf0(sdtasdt0(xz,xk),xI) | ~'Ts53'(xJ), inference(resolution, [status(thm)], [c83,d1])). % 13.56/2.20 cnf(d3, plain, 'Ts53'(xJ), inference(resolution, [status(thm)], [c56,c72])). % 13.56/2.20 cnf(d4, plain, ~aElementOf0(sdtasdt0(xz,xk),xI), inference(resolution, [status(thm)], [d3,d2])). % 13.56/2.20 cnf(d5, plain, ~aElement0(xz) | ~aElementOf0(xk,xI) | ~'Ts53'(xI), inference(resolution, [status(thm)], [d4,c59])). % 13.56/2.20 cnf(d6, plain, ~aElementOf0(xk,xI) | ~'Ts53'(xI), inference(resolution, [status(thm)], [c81,d5])). % 13.56/2.20 cnf(d7, plain, ~'Ts53'(xI), inference(resolution, [status(thm)], [c82,d6])). % 13.56/2.20 cnf(d8, plain, 'Ts53'(xI), inference(resolution, [status(thm)], [c56,c68])). % 13.56/2.20 cnf(d9, plain, $false, inference(resolution, [status(thm)], [d8,d7])). % 13.56/2.20 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------