%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM538+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 : n007.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 08:13:04 AM UTC 2026 % Result : Theorem 27.24s 4.18s % Output : CNFRefutation 27.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM538+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 % 0.08/0.36 % Computer : n007.cluster.edu % 0.08/0.36 % Model : x86_64 x86_64 % 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.36 % Memory : 8046.5625MB % 0.08/0.36 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Sat Sep 26 03:06:53 UTC 2026 % 0.08/0.36 % CPUTime : % 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 27.24/4.18 % SZS status Theorem for theBenchmark.p % 27.24/4.18 % SZS output start CNFRefutation for theBenchmark.p % 27.24/4.18 fof(mEOfElem, axiom, ! [X0] : ((aSet0(X0) => ! [X1] : ((aElementOf0(X1,X0) => aElement0(X1)))))). % 27.24/4.18 fof(mDefCons, definition, ! [X0] : ! [X1] : (((aSet0(X0) & aElement0(X1)) => ! [X2] : ((X2 = sdtpldt0(X0,X1) <=> (aSet0(X2) & ! [X3] : ((aElementOf0(X3,X2) <=> (aElement0(X3) & (aElementOf0(X3,X0) | X3 = X1)))))))))). % 27.24/4.18 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)))))))))). % 27.24/4.18 fof(mConsDiff, axiom, ! [X0] : ((aSet0(X0) => ! [X1] : ((aElementOf0(X1,X0) => sdtpldt0(sdtmndt0(X0,X1),X1) = X0))))). % 27.24/4.18 fof(mFDiffSet, axiom, ! [X0] : ((aElement0(X0) => ! [X1] : (((aSet0(X1) & isFinite0(X1)) => isFinite0(sdtmndt0(X1,X0))))))). % 27.24/4.18 fof(mCardCons, axiom, ! [X0] : (((aSet0(X0) & isFinite0(X0)) => ! [X1] : ((aElement0(X1) => (~aElementOf0(X1,X0) => sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)))))))). % 27.24/4.18 fof(m__1522, hypothesis, aSet0(xS)). % 27.24/4.18 fof(m__1522_02, hypothesis, (isFinite0(xS) & aElementOf0(xx,xS))). % 27.24/4.18 fof(m__, conjecture, szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) = sbrdtbr0(xS)). % 27.24/4.18 fof(negated_conjecture, negated_conjecture, szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) != sbrdtbr0(xS), inference(negate_conjecture, [status(cth)], [m__])). % 27.24/4.18 cnf(c0, plain, ~aSet0(X0) | ~aElementOf0(X1,X0) | aElement0(X1), inference(clausification, [status(esa)], [mEOfElem])). % 27.24/4.18 cnf(c15, plain, ~aSet0(X0) | ~aElement0(X1) | X2 != sdtpldt0(X0,X1) | X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefCons])). % 27.24/4.18 cnf(c16, plain, ~aSet0(X0) | ~aElement0(X1) | X2 = sdtpldt0(X0,X1) | ~X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefCons])). % 27.24/4.18 cnf(c31, plain, ~aSet0(X0) | ~aElement0(X1) | X2 != sdtmndt0(X0,X1) | X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefDiff])). % 27.24/4.18 cnf(c32, plain, ~aSet0(X0) | ~aElement0(X1) | X2 = sdtmndt0(X0,X1) | ~X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefDiff])). % 27.24/4.18 cnf(c33, plain, ~X0(X1,X2,X3) | aSet0(X3), inference(clausification, [status(esa)], [mDefDiff])). % 27.24/4.18 cnf(c36, plain, ~X0(X1,X2,X3) | ~aElementOf0(X4,X3) | X4 != X2, inference(clausification, [status(esa)], [mDefDiff])). % 27.24/4.18 cnf(c46, plain, ~aSet0(X0) | ~aElementOf0(X1,X0) | sdtpldt0(sdtmndt0(X0,X1),X1) = X0, inference(clausification, [status(esa)], [mConsDiff])). % 27.24/4.18 cnf(c51, plain, ~aElement0(X0) | ~aSet0(X1) | ~isFinite0(X1) | isFinite0(sdtmndt0(X1,X0)), inference(clausification, [status(esa)], [mFDiffSet])). % 27.24/4.18 cnf(c76, plain, ~aElement0(X0) | aElementOf0(X0,X1) | sbrdtbr0(sdtpldt0(X1,X0)) = szszuzczcdt0(sbrdtbr0(X1)) | ~isFinite0(X1) | ~aSet0(X1), inference(clausification, [status(esa)], [mCardCons])). % 27.24/4.18 cnf(c77, plain, aSet0(xS), inference(clausification, [status(esa)], [m__1522])). % 27.24/4.18 cnf(c78, plain, isFinite0(xS), inference(clausification, [status(esa)], [m__1522_02])). % 27.24/4.18 cnf(c79, plain, aElementOf0(xx,xS), inference(clausification, [status(esa)], [m__1522_02])). % 27.24/4.18 cnf(c80, plain, szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) != sbrdtbr0(xS), inference(clausification, [status(esa)], [negated_conjecture])). % 27.24/4.18 cnf(d0, plain, ~aSet0(X0) | ~aElement0(X1) | 'Ts29'(X0,X1,sdtmndt0(X0,X1)), inference(equality_resolution, [status(thm)], [c31])). % 27.24/4.18 cnf(d1, plain, ~aSet0(X0) | ~aElement0(X1) | aSet0(sdtmndt0(X0,X1)), inference(resolution, [status(thm)], [d0,c33])). % 27.24/4.18 cnf(d2, plain, ~aElementOf0(X0,X1) | ~'Ts29'(X2,X0,X1), inference(equality_resolution, [status(thm)], [c36])). % 27.24/4.18 cnf(d3, plain, ~aSet0(X0) | ~aElement0(X1) | ~aElementOf0(X1,sdtmndt0(X0,X1)), inference(resolution, [status(thm)], [d0,d2])). % 27.24/4.18 cnf(d4, plain, ~aSet0(X0) | ~aElement0(X1) | 'Ts23'(X0,X1,sdtpldt0(X0,X1)), inference(equality_resolution, [status(thm)], [c15])). % 27.24/4.18 cnf(d5, plain, 'Ts23'(sdtmndt0(X0,X1),X1,X0) | ~aSet0(sdtmndt0(X0,X1)) | ~aElement0(X1) | ~aSet0(X0) | ~aElementOf0(X1,X0), inference(superposition, [status(thm)], [c46,d4])). % 27.24/4.18 cnf(d6, plain, szszuzczcdt0(sbrdtbr0(X0)) != sbrdtbr0(xS) | ~aSet0(xS) | ~aElement0(xx) | ~'Ts29'(xS,xx,X0), inference(superposition, [status(thm)], [c32,c80])). % 27.24/4.18 cnf(d7, plain, szszuzczcdt0(sbrdtbr0(X0)) != sbrdtbr0(xS) | ~aElement0(xx) | ~'Ts29'(xS,xx,X0), inference(resolution, [status(thm)], [c77,d6])). % 27.24/4.18 cnf(d8, plain, ~aSet0(xS) | aElement0(xx), inference(resolution, [status(thm)], [c79,c0])). % 27.24/4.18 cnf(d9, plain, aElement0(xx), inference(resolution, [status(thm)], [c77,d8])). % 27.24/4.18 cnf(d10, plain, szszuzczcdt0(sbrdtbr0(X0)) != sbrdtbr0(xS) | ~'Ts29'(xS,xx,X0), inference(resolution, [status(thm)], [d9,d7])). % 27.24/4.18 cnf(d11, plain, sbrdtbr0(X2) = szszuzczcdt0(sbrdtbr0(X0)) | ~aSet0(X0) | aElementOf0(X1,X0) | ~aElement0(X1) | ~isFinite0(X0) | ~aSet0(X0) | ~aElement0(X1) | ~'Ts23'(X0,X1,X2), inference(superposition, [status(thm)], [c16,c76])). % 27.24/4.18 cnf(d12, plain, sbrdtbr0(X1) != sbrdtbr0(xS) | ~'Ts29'(xS,xx,X0) | ~aSet0(X0) | aElementOf0(X2,X0) | ~aElement0(X2) | ~isFinite0(X0) | ~'Ts23'(X0,X2,X1), inference(superposition, [status(thm)], [d11,d10])). % 27.24/4.18 cnf(d13, plain, ~aSet0(X0) | aElementOf0(X1,X0) | ~aElement0(X1) | ~isFinite0(X0) | ~'Ts23'(X0,X1,xS) | ~'Ts29'(xS,xx,X0), inference(equality_resolution, [status(thm)], [d12])). % 27.24/4.18 cnf(d14, plain, ~aSet0(sdtmndt0(xS,xx)) | aElementOf0(X0,sdtmndt0(xS,xx)) | ~aElement0(X0) | ~isFinite0(sdtmndt0(xS,xx)) | ~'Ts23'(sdtmndt0(xS,xx),X0,xS) | ~aSet0(xS) | ~aElement0(xx), inference(resolution, [status(thm)], [d13,d0])). % 27.24/4.18 cnf(d15, plain, ~aSet0(sdtmndt0(xS,xx)) | aElementOf0(X0,sdtmndt0(xS,xx)) | ~aElement0(X0) | ~aElement0(xx) | ~isFinite0(sdtmndt0(xS,xx)) | ~'Ts23'(sdtmndt0(xS,xx),X0,xS), inference(resolution, [status(thm)], [c77,d14])). % 27.24/4.18 cnf(d16, plain, ~aSet0(sdtmndt0(xS,xx)) | aElementOf0(X0,sdtmndt0(xS,xx)) | ~aElement0(X0) | ~isFinite0(sdtmndt0(xS,xx)) | ~'Ts23'(sdtmndt0(xS,xx),X0,xS), inference(resolution, [status(thm)], [d9,d15])). % 27.24/4.18 cnf(d17, plain, ~aSet0(sdtmndt0(xS,xx)) | aElementOf0(xx,sdtmndt0(xS,xx)) | ~aElement0(xx) | ~isFinite0(sdtmndt0(xS,xx)) | ~aSet0(xS) | ~aSet0(sdtmndt0(xS,xx)) | ~aElementOf0(xx,xS) | ~aElement0(xx), inference(resolution, [status(thm)], [d16,d5])). % 27.24/4.18 cnf(d18, plain, ~aSet0(sdtmndt0(xS,xx)) | aElementOf0(xx,sdtmndt0(xS,xx)) | ~aElementOf0(xx,xS) | ~aElement0(xx) | ~isFinite0(sdtmndt0(xS,xx)), inference(resolution, [status(thm)], [c77,d17])). % 27.24/4.18 cnf(d19, plain, ~aSet0(sdtmndt0(xS,xx)) | aElementOf0(xx,sdtmndt0(xS,xx)) | ~aElement0(xx) | ~isFinite0(sdtmndt0(xS,xx)), inference(resolution, [status(thm)], [c79,d18])). % 27.24/4.18 cnf(d20, plain, ~aSet0(sdtmndt0(xS,xx)) | aElementOf0(xx,sdtmndt0(xS,xx)) | ~isFinite0(sdtmndt0(xS,xx)), inference(resolution, [status(thm)], [d9,d19])). % 27.24/4.18 cnf(d21, plain, ~aSet0(sdtmndt0(xS,xx)) | ~isFinite0(sdtmndt0(xS,xx)) | ~aSet0(xS) | ~aElement0(xx), inference(resolution, [status(thm)], [d20,d3])). % 27.24/4.18 cnf(d22, plain, ~aSet0(sdtmndt0(xS,xx)) | ~aElement0(xx) | ~isFinite0(sdtmndt0(xS,xx)), inference(resolution, [status(thm)], [c77,d21])). % 27.24/4.18 cnf(d23, plain, ~aSet0(sdtmndt0(xS,xx)) | ~isFinite0(sdtmndt0(xS,xx)), inference(resolution, [status(thm)], [d9,d22])). % 27.24/4.18 cnf(d24, plain, ~aSet0(sdtmndt0(xS,xx)) | ~aSet0(xS) | ~aElement0(xx) | ~isFinite0(xS), inference(resolution, [status(thm)], [d23,c51])). % 27.24/4.18 cnf(d25, plain, ~aSet0(sdtmndt0(xS,xx)) | ~aElement0(xx) | ~isFinite0(xS), inference(resolution, [status(thm)], [c77,d24])). % 27.24/4.18 cnf(d26, plain, ~aSet0(sdtmndt0(xS,xx)) | ~aElement0(xx), inference(resolution, [status(thm)], [c78,d25])). % 27.24/4.18 cnf(d27, plain, ~aSet0(sdtmndt0(xS,xx)), inference(resolution, [status(thm)], [d9,d26])). % 27.24/4.18 cnf(d28, plain, ~aSet0(xS) | ~aElement0(xx), inference(resolution, [status(thm)], [d27,d1])). % 27.24/4.18 cnf(d29, plain, ~aElement0(xx), inference(resolution, [status(thm)], [c77,d28])). % 27.24/4.18 cnf(d30, plain, $false, inference(resolution, [status(thm)], [d9,d29])). % 27.24/4.18 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------