%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : RNG116+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 : n009.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 08:25:55 AM UTC 2026 % Result : Theorem 7.67s 7.23s % Output : CNFRefutation 7.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : RNG116+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 % 0.09/0.56 % Computer : n009.cluster.edu % 0.09/0.56 % Model : x86_64 x86_64 % 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.56 % Memory : 8046.5625MB % 0.09/0.56 % OS : Linux 6.8.0-71-generic % 0.09/0.56 % CPULimit : 300 % 0.09/0.56 % WCLimit : 300 % 0.09/0.56 % DateTime : Sat Sep 26 06:09:45 UTC 2026 % 0.09/0.57 % CPUTime : % 0.09/0.57 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 7.67/7.23 % SZS status Theorem for theBenchmark.p % 7.67/7.23 % SZS output start CNFRefutation for theBenchmark.p % 7.67/7.23 fof(mDefPrIdeal, definition, ! [X0] : ((aElement0(X0) => ! [X1] : ((X1 = slsdtgt0(X0) <=> (aSet0(X1) & ! [X2] : ((aElementOf0(X2,X1) <=> ? [X3] : ((aElement0(X3) & sdtasdt0(X0,X3) = X2)))))))))). % 7.67/7.23 fof(m__2091, hypothesis, (aElement0(xa) & aElement0(xb))). % 7.67/7.23 fof(m__2456, hypothesis, (aElementOf0(xk,slsdtgt0(xa)) & (aElementOf0(xl,slsdtgt0(xb)) & xu = sdtpldt0(xk,xl)))). % 7.67/7.23 fof(m__, conjecture, ? [X0] : ? [X1] : ((aElement0(X0) & (aElement0(X1) & xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)))))). % 7.67/7.23 fof(negated_conjecture, negated_conjecture, ~? [X0] : ? [X1] : ((aElement0(X0) & (aElement0(X1) & xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))))), inference(negate_conjecture, [status(cth)], [m__])). % 7.67/7.23 cnf(c88, plain, ~aElement0(X0) | X1(X0), inference(clausification, [status(esa)], [mDefPrIdeal])). % 7.67/7.23 cnf(c93, plain, ~X0(X1) | slsdtgt0(X1) != X2 | ~aElementOf0(X3,X2) | aElement0(sK100(X1,X3)), inference(clausification, [status(esa)], [mDefPrIdeal])). % 7.67/7.23 cnf(c94, plain, ~X0(X1) | slsdtgt0(X1) != X2 | ~aElementOf0(X3,X2) | sdtasdt0(X1,sK100(X1,X3)) = X3, inference(clausification, [status(esa)], [mDefPrIdeal])). % 7.67/7.23 cnf(c99, plain, aElement0(xa), inference(clausification, [status(esa)], [m__2091])). % 7.67/7.23 cnf(c100, plain, aElement0(xb), inference(clausification, [status(esa)], [m__2091])). % 7.67/7.23 cnf(c115, plain, aElementOf0(xk,slsdtgt0(xa)), inference(clausification, [status(esa)], [m__2456])). % 7.67/7.23 cnf(c116, plain, sdtpldt0(xk,xl) = xu, inference(clausification, [status(esa)], [m__2456])). % 7.67/7.23 cnf(c117, plain, aElementOf0(xl,slsdtgt0(xb)), inference(clausification, [status(esa)], [m__2456])). % 7.67/7.23 cnf(c118, plain, ~aElement0(X0) | sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) != xu | ~aElement0(X1), inference(clausification, [status(esa)], [negated_conjecture])). % 7.67/7.23 cnf(d0, plain, sdtasdt0(X0,sK100(X0,X1)) = X1 | ~aElementOf0(X1,slsdtgt0(X0)) | ~'Ts95'(X0), inference(equality_resolution, [status(thm)], [c94])). % 7.67/7.23 cnf(d1, plain, sdtasdt0(xa,sK100(xa,xk)) = xk | ~'Ts95'(xa), inference(resolution, [status(thm)], [d0,c115])). % 7.67/7.23 cnf(d2, plain, 'Ts95'(xa), inference(resolution, [status(thm)], [c88,c99])). % 7.67/7.23 cnf(d3, plain, sdtasdt0(xa,sK100(xa,xk)) = xk, inference(resolution, [status(thm)], [d2,d1])). % 7.67/7.23 cnf(d4, plain, sdtpldt0(xk,sdtasdt0(xb,X0)) != xu | ~aElement0(sK100(xa,xk)) | ~aElement0(X0), inference(superposition, [status(thm)], [d3,c118])). % 7.67/7.23 cnf(d5, plain, aElement0(sK100(X0,X1)) | ~aElementOf0(X1,slsdtgt0(X0)) | ~'Ts95'(X0), inference(equality_resolution, [status(thm)], [c93])). % 7.67/7.23 cnf(d6, plain, aElement0(sK100(xa,xk)) | ~'Ts95'(xa), inference(resolution, [status(thm)], [d5,c115])). % 7.67/7.23 cnf(d7, plain, aElement0(sK100(xa,xk)), inference(resolution, [status(thm)], [d2,d6])). % 7.67/7.23 cnf(d8, plain, sdtpldt0(xk,sdtasdt0(xb,X0)) != xu | ~aElement0(X0), inference(resolution, [status(thm)], [d7,d4])). % 7.67/7.23 cnf(d9, plain, sdtasdt0(xb,sK100(xb,xl)) = xl | ~'Ts95'(xb), inference(resolution, [status(thm)], [d0,c117])). % 7.67/7.23 cnf(d10, plain, 'Ts95'(xb), inference(resolution, [status(thm)], [c88,c100])). % 7.67/7.23 cnf(d11, plain, sdtasdt0(xb,sK100(xb,xl)) = xl, inference(resolution, [status(thm)], [d10,d9])). % 7.67/7.23 cnf(d12, plain, sdtpldt0(xk,xl) != xu | ~aElement0(sK100(xb,xl)), inference(superposition, [status(thm)], [d11,d8])). % 7.67/7.23 cnf(d13, plain, xu != xu | ~aElement0(sK100(xb,xl)), inference(demodulation, [status(thm)], [d12,c116])). % 7.67/7.23 cnf(d14, plain, aElement0(sK100(xb,xl)) | ~'Ts95'(xb), inference(resolution, [status(thm)], [d5,c117])). % 7.67/7.23 cnf(d15, plain, aElement0(sK100(xb,xl)), inference(resolution, [status(thm)], [d10,d14])). % 7.67/7.23 cnf(d16, plain, xu != xu, inference(resolution, [status(thm)], [d15,d13])). % 7.67/7.23 cnf(d17, plain, $false, inference(equality_resolution, [status(thm)], [d16])). % 7.67/7.23 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------