%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : RNG120+4 : 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 : 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 08:25:56 AM UTC 2026 % Result : Theorem 81.19s 13.53s % Output : CNFRefutation 81.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : RNG120+4 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.09/0.37 % Computer : n005.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 06:10:17 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 81.19/13.53 % SZS status Theorem for theBenchmark.p % 81.19/13.53 % SZS output start CNFRefutation for theBenchmark.p % 81.19/13.53 fof(mSortsC_01, axiom, aElement0(sz10)). % 81.19/13.53 fof(mSortsU, axiom, ! [X0] : ((aElement0(X0) => aElement0(smndt0(X0))))). % 81.19/13.53 fof(mSortsB_02, axiom, ! [X0] : ! [X1] : (((aElement0(X0) & aElement0(X1)) => aElement0(sdtasdt0(X0,X1))))). % 81.19/13.53 fof(mMulMnOne, axiom, ! [X0] : ((aElement0(X0) => (sdtasdt0(smndt0(sz10),X0) = smndt0(X0) & smndt0(X0) = sdtasdt0(X0,smndt0(sz10)))))). % 81.19/13.53 fof(mEOfElem, axiom, ! [X0] : ((aSet0(X0) => ! [X1] : ((aElementOf0(X1,X0) => aElement0(X1)))))). % 81.19/13.53 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)))))))))). % 81.19/13.53 fof(m__2174, 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) & (! [X0] : ((aElementOf0(X0,slsdtgt0(xa)) <=> ? [X1] : ((aElement0(X1) & sdtasdt0(xa,X1) = X0)))) & (! [X0] : ((aElementOf0(X0,slsdtgt0(xb)) <=> ? [X1] : ((aElement0(X1) & sdtasdt0(xb,X1) = X0)))) & (! [X0] : ((aElementOf0(X0,xI) <=> ? [X1] : ? [X2] : ((aElementOf0(X1,slsdtgt0(xa)) & (aElementOf0(X2,slsdtgt0(xb)) & sdtpldt0(X1,X2) = X0))))) & xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))))))))). % 81.19/13.53 fof(m__2273, hypothesis, (? [X0] : ? [X1] : ((aElementOf0(X0,slsdtgt0(xa)) & (aElementOf0(X1,slsdtgt0(xb)) & sdtpldt0(X0,X1) = xu))) & (aElementOf0(xu,xI) & (xu != sz00 & ! [X0] : ((((? [X1] : ? [X2] : ((aElementOf0(X1,slsdtgt0(xa)) & (aElementOf0(X2,slsdtgt0(xb)) & sdtpldt0(X1,X2) = X0))) | aElementOf0(X0,xI)) & X0 != sz00) => ~iLess0(sbrdtbr0(X0),sbrdtbr0(xu)))))))). % 81.19/13.53 fof(m__2666, hypothesis, (aElement0(xq) & (aElement0(xr) & (xb = sdtpldt0(sdtasdt0(xq,xu),xr) & (xr = sz00 | iLess0(sbrdtbr0(xr),sbrdtbr0(xu))))))). % 81.19/13.53 fof(m__, conjecture, (? [X0] : ? [X1] : ((aElementOf0(X0,slsdtgt0(xa)) & (aElementOf0(X1,slsdtgt0(xb)) & sdtpldt0(X0,X1) = smndt0(sdtasdt0(xq,xu))))) | aElementOf0(smndt0(sdtasdt0(xq,xu)),xI))). % 81.19/13.53 fof(negated_conjecture, negated_conjecture, ~((? [X0] : ? [X1] : ((aElementOf0(X0,slsdtgt0(xa)) & (aElementOf0(X1,slsdtgt0(xb)) & sdtpldt0(X0,X1) = smndt0(sdtasdt0(xq,xu))))) | aElementOf0(smndt0(sdtasdt0(xq,xu)),xI))), inference(negate_conjecture, [status(cth)], [m__])). % 81.19/13.53 cnf(c1, plain, aElement0(sz10), inference(clausification, [status(esa)], [mSortsC_01])). % 81.19/13.53 cnf(c2, plain, ~aElement0(X0) | aElement0(smndt0(X0)), inference(clausification, [status(esa)], [mSortsU])). % 81.19/13.53 cnf(c4, plain, ~aElement0(X0) | ~aElement0(X1) | aElement0(sdtasdt0(X0,X1)), inference(clausification, [status(esa)], [mSortsB_02])). % 81.19/13.53 cnf(c17, plain, ~aElement0(X0) | sdtasdt0(smndt0(sz10),X0) = smndt0(X0), inference(clausification, [status(esa)], [mMulMnOne])). % 81.19/13.53 cnf(c23, plain, ~aSet0(X0) | ~aElementOf0(X1,X0) | aElement0(X1), inference(clausification, [status(esa)], [mEOfElem])). % 81.19/13.53 cnf(c56, plain, ~aIdeal0(X0) | X1(X0), inference(clausification, [status(esa)], [mDefIdeal])). % 81.19/13.53 cnf(c59, plain, ~X0(X1) | ~aElementOf0(X2,X1) | ~aElement0(X3) | aElementOf0(sdtasdt0(X3,X2),X1), inference(clausification, [status(esa)], [mDefIdeal])). % 81.19/13.53 cnf(c131, plain, aSet0(xI), inference(clausification, [status(esa)], [m__2174])). % 81.19/13.53 cnf(c133, plain, ~aElementOf0(X0,xI) | ~aElement0(X1) | aElementOf0(sdtasdt0(X1,X0),xI), inference(clausification, [status(esa)], [m__2174])). % 81.19/13.53 cnf(c134, plain, aIdeal0(xI), inference(clausification, [status(esa)], [m__2174])). % 81.19/13.53 cnf(c172, plain, aElementOf0(xu,xI), inference(clausification, [status(esa)], [m__2273])). % 81.19/13.53 cnf(c190, plain, aElement0(xq), inference(clausification, [status(esa)], [m__2666])). % 81.19/13.53 cnf(c196, plain, ~aElementOf0(smndt0(sdtasdt0(xq,xu)),xI), inference(clausification, [status(esa)], [negated_conjecture])). % 81.19/13.53 cnf(d0, plain, aElementOf0(smndt0(X0),X1) | ~aElement0(smndt0(sz10)) | ~aElementOf0(X0,X1) | ~'Ts53'(X1) | ~aElement0(X0), inference(superposition, [status(thm)], [c17,c59])). % 81.19/13.53 cnf(d1, plain, ~aElement0(sdtasdt0(xq,xu)) | ~aElement0(smndt0(sz10)) | ~aElementOf0(sdtasdt0(xq,xu),xI) | ~'Ts53'(xI), inference(resolution, [status(thm)], [d0,c196])). % 81.19/13.53 cnf(d2, plain, 'Ts53'(xI), inference(resolution, [status(thm)], [c56,c134])). % 81.19/13.53 cnf(d3, plain, ~aElement0(smndt0(sz10)) | ~aElement0(sdtasdt0(xq,xu)) | ~aElementOf0(sdtasdt0(xq,xu),xI), inference(resolution, [status(thm)], [d2,d1])). % 81.19/13.53 cnf(d4, plain, ~aElement0(smndt0(sz10)) | ~aElement0(sdtasdt0(xq,xu)) | ~aElement0(xq) | ~aElementOf0(xu,xI), inference(resolution, [status(thm)], [d3,c133])). % 81.19/13.53 cnf(d5, plain, ~aElement0(smndt0(sz10)) | ~aElement0(sdtasdt0(xq,xu)) | ~aElementOf0(xu,xI), inference(resolution, [status(thm)], [c190,d4])). % 81.19/13.53 cnf(d6, plain, ~aElement0(smndt0(sz10)) | ~aElement0(sdtasdt0(xq,xu)), inference(resolution, [status(thm)], [c172,d5])). % 81.19/13.53 cnf(d7, plain, ~aElement0(smndt0(sz10)) | ~aElement0(xu) | ~aElement0(xq), inference(resolution, [status(thm)], [d6,c4])). % 81.19/13.53 cnf(d8, plain, ~aElement0(smndt0(sz10)) | ~aElement0(xu), inference(resolution, [status(thm)], [c190,d7])). % 81.19/13.53 cnf(d9, plain, aElement0(xu) | ~aSet0(xI), inference(resolution, [status(thm)], [c23,c172])). % 81.19/13.53 cnf(d10, plain, aElement0(xu), inference(resolution, [status(thm)], [c131,d9])). % 81.19/13.53 cnf(d11, plain, ~aElement0(smndt0(sz10)), inference(resolution, [status(thm)], [d10,d8])). % 81.19/13.53 cnf(d12, plain, ~aElement0(sz10), inference(resolution, [status(thm)], [d11,c2])). % 81.19/13.53 cnf(d13, plain, $false, inference(resolution, [status(thm)], [c1,d12])). % 81.19/13.53 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------