%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM609+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 : n010.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 08:13:19 AM UTC 2026 % Result : Theorem 38.69s 8.13s % Output : CNFRefutation 38.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM609+1 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.09/0.36 % Computer : n010.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 % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 26 03:26:29 UTC 2026 % 0.02/0.36 % CPUTime : % 0.02/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 38.69/8.13 % SZS status Theorem for theBenchmark.p % 38.69/8.13 % SZS output start CNFRefutation for theBenchmark.p % 38.69/8.13 fof(mEOfElem, axiom, ! [X0] : ((aSet0(X0) => ! [X1] : ((aElementOf0(X1,X0) => aElement0(X1)))))). % 38.69/8.13 fof(mDefSub, definition, ! [X0] : ((aSet0(X0) => ! [X1] : ((aSubsetOf0(X1,X0) <=> (aSet0(X1) & ! [X2] : ((aElementOf0(X2,X1) => aElementOf0(X2,X0))))))))). % 38.69/8.13 fof(mDefDiff, definition, ! [X0] : ! [X1] : (((aSet0(X0) & aElement0(X1)) => ! [X2] : ((X2 = sdtmndt0(X0,X1) <=> (aSet0(X2) & ! [X3] : ((aElementOf0(X3,X2) <=> (aElement0(X3) & (aElementOf0(X3,X0) & X3 != X1)))))))))). % 38.69/8.13 fof(m__4891, hypothesis, (aSet0(xO) & xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))). % 38.69/8.13 fof(m__5093, hypothesis, (aSubsetOf0(xQ,xO) & xQ != slcrc0)). % 38.69/8.13 fof(m__5147, hypothesis, xp = szmzizndt0(xQ)). % 38.69/8.13 fof(m__5164, hypothesis, (aSet0(xP) & xP = sdtmndt0(xQ,szmzizndt0(xQ)))). % 38.69/8.13 fof(m__5182, hypothesis, aElementOf0(xp,xO)). % 38.69/8.13 fof(m__, conjecture, aSubsetOf0(xP,xQ)). % 38.69/8.13 fof(negated_conjecture, negated_conjecture, ~aSubsetOf0(xP,xQ), inference(negate_conjecture, [status(cth)], [m__])). % 38.69/8.13 cnf(c0, plain, ~aSet0(X0) | ~aElementOf0(X1,X0) | aElement0(X1), inference(clausification, [status(esa)], [mEOfElem])). % 38.69/8.13 cnf(c7, plain, ~aSet0(X0) | ~aSubsetOf0(X1,X0) | aSet0(X1), inference(clausification, [status(esa)], [mDefSub])). % 38.69/8.13 cnf(c9, plain, ~aSet0(X0) | aSubsetOf0(X1,X0) | ~aSet0(X1) | aElementOf0(sK14(X0,X1),X1), inference(clausification, [status(esa)], [mDefSub])). % 38.69/8.13 cnf(c10, plain, ~aSet0(X0) | aSubsetOf0(X1,X0) | ~aSet0(X1) | ~aElementOf0(sK14(X0,X1),X0), inference(clausification, [status(esa)], [mDefSub])). % 38.69/8.13 cnf(c31, plain, ~aSet0(X0) | ~aElement0(X1) | X2 != sdtmndt0(X0,X1) | X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefDiff])). % 38.69/8.13 cnf(c35, plain, ~X0(X1,X2,X3) | ~aElementOf0(X4,X3) | aElementOf0(X4,X1), inference(clausification, [status(esa)], [mDefDiff])). % 38.69/8.13 cnf(c220, plain, aSet0(xO), inference(clausification, [status(esa)], [m__4891])). % 38.69/8.13 cnf(c229, plain, aSubsetOf0(xQ,xO), inference(clausification, [status(esa)], [m__5093])). % 38.69/8.13 cnf(c233, plain, xp = szmzizndt0(xQ), inference(clausification, [status(esa)], [m__5147])). % 38.69/8.13 cnf(c234, plain, aSet0(xP), inference(clausification, [status(esa)], [m__5164])). % 38.69/8.13 cnf(c235, plain, xP = sdtmndt0(xQ,szmzizndt0(xQ)), inference(clausification, [status(esa)], [m__5164])). % 38.69/8.13 cnf(c237, plain, aElementOf0(xp,xO), inference(clausification, [status(esa)], [m__5182])). % 38.69/8.13 cnf(c238, plain, ~aSubsetOf0(xP,xQ), inference(clausification, [status(esa)], [negated_conjecture])). % 38.69/8.13 cnf(d0, plain, ~aSet0(X0) | ~aElement0(X1) | 'Ts29'(X0,X1,sdtmndt0(X0,X1)), inference(equality_resolution, [status(thm)], [c31])). % 38.69/8.13 cnf(d1, plain, xP = sdtmndt0(xQ,xp), inference(demodulation, [status(thm)], [c235,c233])). % 38.69/8.13 cnf(d2, plain, 'Ts29'(xQ,xp,xP) | ~aSet0(xQ) | ~aElement0(xp), inference(superposition, [status(thm)], [d1,d0])). % 38.69/8.13 cnf(d3, plain, ~aSet0(xO) | aElement0(xp), inference(resolution, [status(thm)], [c237,c0])). % 38.69/8.13 cnf(d4, plain, aElement0(xp), inference(resolution, [status(thm)], [c220,d3])). % 38.69/8.13 cnf(d5, plain, ~aSet0(xQ) | 'Ts29'(xQ,xp,xP), inference(resolution, [status(thm)], [d4,d2])). % 38.69/8.13 cnf(d6, plain, aSet0(xQ) | ~aSet0(xO), inference(resolution, [status(thm)], [c7,c229])). % 38.69/8.13 cnf(d7, plain, aSet0(xQ), inference(resolution, [status(thm)], [c220,d6])). % 38.69/8.13 cnf(d8, plain, 'Ts29'(xQ,xp,xP), inference(resolution, [status(thm)], [d7,d5])). % 38.69/8.13 cnf(d9, plain, ~aElementOf0(X0,xP) | aElementOf0(X0,xQ), inference(resolution, [status(thm)], [d8,c35])). % 38.69/8.13 cnf(d10, plain, aElementOf0(sK14(X0,xP),xQ) | ~aSet0(X0) | ~aSet0(xP) | aSubsetOf0(xP,X0), inference(resolution, [status(thm)], [d9,c9])). % 38.69/8.13 cnf(d11, plain, ~aSet0(X0) | aElementOf0(sK14(X0,xP),xQ) | aSubsetOf0(xP,X0), inference(resolution, [status(thm)], [c234,d10])). % 38.69/8.13 cnf(d12, plain, ~aSet0(xQ) | aSubsetOf0(xP,xQ) | ~aSet0(xQ) | ~aSet0(xP) | aSubsetOf0(xP,xQ), inference(resolution, [status(thm)], [d11,c10])). % 38.69/8.13 cnf(d13, plain, ~aSet0(xQ) | ~aSet0(xP), inference(resolution, [status(thm)], [c238,d12])). % 38.69/8.13 cnf(d14, plain, ~aSet0(xQ), inference(resolution, [status(thm)], [c234,d13])). % 38.69/8.13 cnf(d15, plain, $false, inference(resolution, [status(thm)], [d7,d14])). % 38.69/8.13 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------