%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : RNG123+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 : n001.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 08:25:57 AM UTC 2026 % Result : Theorem 37.67s 5.97s % Output : CNFRefutation 37.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : RNG123+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 % 0.09/0.35 % Computer : n001.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Sat Sep 26 06:17:11 UTC 2026 % 0.09/0.35 % CPUTime : % 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 37.67/5.97 % SZS status Theorem for theBenchmark.p % 37.67/5.97 % SZS output start CNFRefutation for theBenchmark.p % 37.67/5.97 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)))))))))). % 37.67/5.97 fof(m__2174, hypothesis, (aIdeal0(xI) & xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))). % 37.67/5.97 fof(m__2690, hypothesis, aElementOf0(smndt0(sdtasdt0(xq,xu)),xI)). % 37.67/5.97 fof(m__2699, hypothesis, aElementOf0(xb,xI)). % 37.67/5.97 fof(m__2718, hypothesis, xr = sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb)). % 37.67/5.97 fof(m__, conjecture, aElementOf0(xr,xI)). % 37.67/5.97 fof(negated_conjecture, negated_conjecture, ~aElementOf0(xr,xI), inference(negate_conjecture, [status(cth)], [m__])). % 37.67/5.97 cnf(c56, plain, ~aIdeal0(X0) | X1(X0), inference(clausification, [status(esa)], [mDefIdeal])). % 37.67/5.97 cnf(c58, plain, ~X0(X1) | ~aElementOf0(X2,X1) | ~aElementOf0(X3,X1) | aElementOf0(sdtpldt0(X2,X3),X1), inference(clausification, [status(esa)], [mDefIdeal])). % 37.67/5.97 cnf(c112, plain, aIdeal0(xI), inference(clausification, [status(esa)], [m__2174])). % 37.67/5.97 cnf(c134, plain, aElementOf0(smndt0(sdtasdt0(xq,xu)),xI), inference(clausification, [status(esa)], [m__2690])). % 37.67/5.97 cnf(c135, plain, aElementOf0(xb,xI), inference(clausification, [status(esa)], [m__2699])). % 37.67/5.97 cnf(c136, plain, xr = sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb), inference(clausification, [status(esa)], [m__2718])). % 37.67/5.97 cnf(c137, plain, ~aElementOf0(xr,xI), inference(clausification, [status(esa)], [negated_conjecture])). % 37.67/5.97 cnf(d0, plain, aElementOf0(xr,X0) | ~aElementOf0(xb,X0) | ~aElementOf0(smndt0(sdtasdt0(xq,xu)),X0) | ~'Ts53'(X0), inference(superposition, [status(thm)], [c136,c58])). % 37.67/5.97 cnf(d1, plain, ~aElementOf0(xb,xI) | aElementOf0(xr,xI) | ~'Ts53'(xI), inference(resolution, [status(thm)], [d0,c134])). % 37.67/5.97 cnf(d2, plain, ~aElementOf0(xb,xI) | ~'Ts53'(xI), inference(resolution, [status(thm)], [c137,d1])). % 37.67/5.97 cnf(d3, plain, ~'Ts53'(xI), inference(resolution, [status(thm)], [c135,d2])). % 37.67/5.97 cnf(d4, plain, 'Ts53'(xI), inference(resolution, [status(thm)], [c56,c112])). % 37.67/5.97 cnf(d5, plain, $false, inference(resolution, [status(thm)], [d4,d3])). % 37.67/5.97 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------