%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : RNG106+1 : 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 : n006.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 08:25:53 AM UTC 2026 % Result : Theorem 32.76s 5.07s % Output : CNFRefutation 32.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : RNG106+1 : 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 : n006.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 06:06:10 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 32.76/5.07 % SZS status Theorem for theBenchmark.p % 32.76/5.07 % SZS output start CNFRefutation for theBenchmark.p % 32.76/5.07 fof(mSortsC, axiom, aElement0(sz00)). % 32.76/5.07 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)))))))))). % 32.76/5.07 fof(mDefPrIdeal, definition, ! [X0] : ((aElement0(X0) => ! [X1] : ((X1 = slsdtgt0(X0) <=> (aSet0(X1) & ! [X2] : ((aElementOf0(X2,X1) <=> ? [X3] : ((aElement0(X3) & sdtasdt0(X0,X3) = X2)))))))))). % 32.76/5.07 fof(m__1905, hypothesis, aElement0(xc)). % 32.76/5.07 fof(m__, conjecture, (! [X0] : ! [X1] : ! [X2] : (((aElementOf0(X0,slsdtgt0(xc)) & (aElementOf0(X1,slsdtgt0(xc)) & aElement0(X2))) => ? [X3] : ((aElement0(X3) & (sdtasdt0(xc,X3) = X0 & ? [X4] : ((aElement0(X4) & (sdtasdt0(xc,X4) = X1 & (sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X3,X4)) & (sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X3,X2)) & (aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc)) & aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))))))))))))) => aIdeal0(slsdtgt0(xc)))). % 32.76/5.07 fof(negated_conjecture, negated_conjecture, ~((! [X0] : ! [X1] : ! [X2] : (((aElementOf0(X0,slsdtgt0(xc)) & (aElementOf0(X1,slsdtgt0(xc)) & aElement0(X2))) => ? [X3] : ((aElement0(X3) & (sdtasdt0(xc,X3) = X0 & ? [X4] : ((aElement0(X4) & (sdtasdt0(xc,X4) = X1 & (sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X3,X4)) & (sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X3,X2)) & (aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc)) & aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))))))))))))) => aIdeal0(slsdtgt0(xc)))), inference(negate_conjecture, [status(cth)], [m__])). % 32.76/5.07 cnf(c0, plain, aElement0(sz00), inference(clausification, [status(esa)], [mSortsC])). % 32.76/5.07 cnf(c57, plain, aIdeal0(X0) | ~aSet0(X0) | ~X1(X0), inference(clausification, [status(esa)], [mDefIdeal])). % 32.76/5.07 cnf(c60, plain, X0(X1) | aElementOf0(sK58(X1),X1), inference(clausification, [status(esa)], [mDefIdeal])). % 32.76/5.07 cnf(c61, plain, X0(X1) | aElementOf0(sK59(X1),X1) | aElement0(sK60(X1)), inference(clausification, [status(esa)], [mDefIdeal])). % 32.76/5.07 cnf(c62, plain, X0(X1) | aElementOf0(sK59(X1),X1) | ~aElementOf0(sdtasdt0(sK60(X1),sK58(X1)),X1), inference(clausification, [status(esa)], [mDefIdeal])). % 32.76/5.07 cnf(c63, plain, X0(X1) | ~aElementOf0(sdtpldt0(sK58(X1),sK59(X1)),X1) | aElement0(sK60(X1)), inference(clausification, [status(esa)], [mDefIdeal])). % 32.76/5.07 cnf(c64, plain, X0(X1) | ~aElementOf0(sdtpldt0(sK58(X1),sK59(X1)),X1) | ~aElementOf0(sdtasdt0(sK60(X1),sK58(X1)),X1), inference(clausification, [status(esa)], [mDefIdeal])). % 32.76/5.07 cnf(c95, plain, ~aElement0(X0) | X1 != slsdtgt0(X0) | X2(X0,X1), inference(clausification, [status(esa)], [mDefPrIdeal])). % 32.76/5.07 cnf(c97, plain, ~X0(X1,X2) | aSet0(X2), inference(clausification, [status(esa)], [mDefPrIdeal])). % 32.76/5.07 cnf(c107, plain, aElement0(xc), inference(clausification, [status(esa)], [m__1905])). % 32.76/5.07 cnf(c108, plain, ~aElementOf0(X0,slsdtgt0(xc)) | ~aElementOf0(X1,slsdtgt0(xc)) | ~aElement0(X2) | X3(X0,X1,X2), inference(clausification, [status(esa)], [negated_conjecture])). % 32.76/5.07 cnf(c109, plain, ~aIdeal0(slsdtgt0(xc)), inference(clausification, [status(esa)], [negated_conjecture])). % 32.76/5.07 cnf(c116, plain, ~X0(X1,X2,X3) | aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc)), inference(clausification, [status(esa)], [negated_conjecture])). % 32.76/5.07 cnf(c117, plain, ~X0(X1,X2,X3) | aElementOf0(sdtasdt0(X3,X1),slsdtgt0(xc)), inference(clausification, [status(esa)], [negated_conjecture])). % 32.76/5.07 cnf(d0, plain, 'Ts53'(slsdtgt0(xc)) | ~aElement0(X0) | ~aElementOf0(X1,slsdtgt0(xc)) | 'Ts106'(sK58(slsdtgt0(xc)),X1,X0), inference(resolution, [status(thm)], [c60,c108])). % 32.76/5.07 cnf(d1, plain, ~aElement0(X0) | ~aElementOf0(X1,slsdtgt0(xc)) | 'Ts53'(slsdtgt0(xc)) | aElementOf0(sdtpldt0(sK58(slsdtgt0(xc)),X1),slsdtgt0(xc)), inference(resolution, [status(thm)], [d0,c116])). % 32.76/5.07 cnf(d2, plain, ~aElement0(X0) | aElementOf0(sdtpldt0(sK58(slsdtgt0(xc)),sK58(slsdtgt0(xc))),slsdtgt0(xc)) | 'Ts53'(slsdtgt0(xc)) | 'Ts53'(slsdtgt0(xc)), inference(resolution, [status(thm)], [d1,c60])). % 32.76/5.07 cnf(d3, plain, aElementOf0(sdtpldt0(sK58(slsdtgt0(xc)),sK58(slsdtgt0(xc))),slsdtgt0(xc)) | 'Ts53'(slsdtgt0(xc)), inference(resolution, [status(thm)], [d2,c0])). % 32.76/5.07 cnf(d4, plain, ~aElement0(X0) | ~aElementOf0(X1,slsdtgt0(xc)) | 'Ts53'(slsdtgt0(xc)) | aElementOf0(sdtasdt0(X0,sK58(slsdtgt0(xc))),slsdtgt0(xc)), inference(resolution, [status(thm)], [d0,c117])). % 32.76/5.07 cnf(d5, plain, ~aElement0(X0) | aElementOf0(sdtasdt0(X0,sK58(slsdtgt0(xc))),slsdtgt0(xc)) | 'Ts53'(slsdtgt0(xc)) | 'Ts53'(slsdtgt0(xc)), inference(resolution, [status(thm)], [d4,d3])). % 32.76/5.07 cnf(d6, plain, ~aElement0(sK60(slsdtgt0(xc))) | 'Ts53'(slsdtgt0(xc)) | ~aElementOf0(sdtpldt0(sK58(slsdtgt0(xc)),sK59(slsdtgt0(xc))),slsdtgt0(xc)) | 'Ts53'(slsdtgt0(xc)), inference(resolution, [status(thm)], [d5,c64])). % 32.76/5.07 cnf(d7, plain, ~aElementOf0(sdtpldt0(sK58(slsdtgt0(xc)),sK59(slsdtgt0(xc))),slsdtgt0(xc)) | 'Ts53'(slsdtgt0(xc)) | ~aElementOf0(sdtpldt0(sK58(slsdtgt0(xc)),sK59(slsdtgt0(xc))),slsdtgt0(xc)) | 'Ts53'(slsdtgt0(xc)), inference(resolution, [status(thm)], [c63,d6])). % 32.76/5.07 cnf(d8, plain, ~aElement0(sK60(slsdtgt0(xc))) | 'Ts53'(slsdtgt0(xc)) | aElementOf0(sK59(slsdtgt0(xc)),slsdtgt0(xc)) | 'Ts53'(slsdtgt0(xc)), inference(resolution, [status(thm)], [d5,c62])). % 32.76/5.07 cnf(d9, plain, aElementOf0(sK59(slsdtgt0(xc)),slsdtgt0(xc)) | 'Ts53'(slsdtgt0(xc)) | aElementOf0(sK59(slsdtgt0(xc)),slsdtgt0(xc)) | 'Ts53'(slsdtgt0(xc)), inference(resolution, [status(thm)], [c61,d8])). % 32.76/5.07 cnf(d10, plain, 'Ts53'(slsdtgt0(xc)) | ~aElement0(X0) | aElementOf0(sdtpldt0(sK58(slsdtgt0(xc)),sK59(slsdtgt0(xc))),slsdtgt0(xc)) | 'Ts53'(slsdtgt0(xc)), inference(resolution, [status(thm)], [d9,d1])). % 32.76/5.07 cnf(d11, plain, aElementOf0(sdtpldt0(sK58(slsdtgt0(xc)),sK59(slsdtgt0(xc))),slsdtgt0(xc)) | 'Ts53'(slsdtgt0(xc)), inference(resolution, [status(thm)], [d10,c0])). % 32.76/5.07 cnf(d12, plain, 'Ts53'(slsdtgt0(xc)) | 'Ts53'(slsdtgt0(xc)), inference(resolution, [status(thm)], [d11,d7])). % 32.76/5.07 cnf(d13, plain, ~aSet0(slsdtgt0(xc)) | aIdeal0(slsdtgt0(xc)), inference(resolution, [status(thm)], [d12,c57])). % 32.76/5.07 cnf(d14, plain, ~aSet0(slsdtgt0(xc)), inference(resolution, [status(thm)], [c109,d13])). % 32.76/5.07 cnf(d15, plain, ~aElement0(X0) | 'Ts97'(X0,slsdtgt0(X0)), inference(equality_resolution, [status(thm)], [c95])). % 32.76/5.07 cnf(d16, plain, ~aElement0(X0) | aSet0(slsdtgt0(X0)), inference(resolution, [status(thm)], [d15,c97])). % 32.76/5.07 cnf(d17, plain, ~aElement0(xc), inference(resolution, [status(thm)], [d16,d14])). % 32.76/5.07 cnf(d18, plain, $false, inference(resolution, [status(thm)], [c107,d17])). % 32.76/5.07 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------