%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM558+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 : n002.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 08:13:08 AM UTC 2026 % Result : Theorem 29.83s 4.73s % Output : CNFRefutation 29.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM558+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 % 0.12/0.37 % Computer : n002.cluster.edu % 0.12/0.37 % Model : x86_64 x86_64 % 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.37 % Memory : 8046.5625MB % 0.12/0.37 % OS : Linux 6.8.0-71-generic % 0.12/0.37 % CPULimit : 300 % 0.12/0.37 % WCLimit : 300 % 0.12/0.37 % DateTime : Sat Sep 26 03:16:06 UTC 2026 % 0.12/0.38 % CPUTime : % 0.12/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 29.83/4.73 % SZS status Theorem for theBenchmark.p % 29.83/4.73 % SZS output start CNFRefutation for theBenchmark.p % 29.83/4.73 fof(mEOfElem, axiom, ! [X0] : ((aSet0(X0) => ! [X1] : ((aElementOf0(X1,X0) => aElement0(X1)))))). % 29.83/4.73 fof(mDefSub, definition, ! [X0] : ((aSet0(X0) => ! [X1] : ((aSubsetOf0(X1,X0) <=> (aSet0(X1) & ! [X2] : ((aElementOf0(X2,X1) => aElementOf0(X2,X0))))))))). % 29.83/4.73 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)))))))))). % 29.83/4.73 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)))))))))). % 29.83/4.73 fof(mDefSel, definition, ! [X0] : ! [X1] : (((aSet0(X0) & aElementOf0(X1,szNzAzT0)) => ! [X2] : ((X2 = slbdtsldtrb0(X0,X1) <=> (aSet0(X2) & ! [X3] : ((aElementOf0(X3,X2) <=> (aSubsetOf0(X3,X0) & sbrdtbr0(X3) = X1))))))))). % 29.83/4.73 fof(m__2202, hypothesis, aElementOf0(xk,szNzAzT0)). % 29.83/4.73 fof(m__2202_02, hypothesis, (aSet0(xS) & (aSet0(xT) & xk != sz00))). % 29.83/4.73 fof(m__2227, hypothesis, (aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)) & slbdtsldtrb0(xS,xk) != slcrc0)). % 29.83/4.73 fof(m__2256, hypothesis, aElementOf0(xx,xS)). % 29.83/4.73 fof(m__2291, hypothesis, (aSet0(xQ) & (isFinite0(xQ) & sbrdtbr0(xQ) = xk))). % 29.83/4.73 fof(m__2304, hypothesis, (aElement0(xy) & aElementOf0(xy,xQ))). % 29.83/4.73 fof(m__2357, hypothesis, xP = sdtpldt0(sdtmndt0(xQ,xy),xx)). % 29.83/4.73 fof(m__2378, hypothesis, aElementOf0(xP,slbdtsldtrb0(xS,xk))). % 29.83/4.73 fof(m__, conjecture, aElementOf0(xx,xT)). % 29.83/4.73 fof(negated_conjecture, negated_conjecture, ~aElementOf0(xx,xT), inference(negate_conjecture, [status(cth)], [m__])). % 29.83/4.73 cnf(c0, plain, ~aSet0(X0) | ~aElementOf0(X1,X0) | aElement0(X1), inference(clausification, [status(esa)], [mEOfElem])). % 29.83/4.73 cnf(c8, plain, ~aSet0(X0) | ~aSubsetOf0(X1,X0) | ~aElementOf0(X2,X1) | aElementOf0(X2,X0), inference(clausification, [status(esa)], [mDefSub])). % 29.83/4.73 cnf(c15, plain, ~aSet0(X0) | ~aElement0(X1) | X2 != sdtpldt0(X0,X1) | X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefCons])). % 29.83/4.73 cnf(c21, plain, ~X0(X1,X2,X3) | aElementOf0(X4,X3) | ~aElement0(X4) | X4 != X2, inference(clausification, [status(esa)], [mDefCons])). % 29.83/4.73 cnf(c31, plain, ~aSet0(X0) | ~aElement0(X1) | X2 != sdtmndt0(X0,X1) | X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefDiff])). % 29.83/4.73 cnf(c33, plain, ~X0(X1,X2,X3) | aSet0(X3), inference(clausification, [status(esa)], [mDefDiff])). % 29.83/4.73 cnf(c112, plain, ~aSet0(X0) | ~aElementOf0(X1,szNzAzT0) | X2 != slbdtsldtrb0(X0,X1) | X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefSel])). % 29.83/4.73 cnf(c114, plain, ~X0(X1,X2,X3) | aSet0(X3), inference(clausification, [status(esa)], [mDefSel])). % 29.83/4.73 cnf(c115, plain, ~X0(X1,X2,X3) | ~aElementOf0(X4,X3) | aSubsetOf0(X4,X1), inference(clausification, [status(esa)], [mDefSel])). % 29.83/4.73 cnf(c127, plain, aElementOf0(xk,szNzAzT0), inference(clausification, [status(esa)], [m__2202])). % 29.83/4.73 cnf(c128, plain, aSet0(xS), inference(clausification, [status(esa)], [m__2202_02])). % 29.83/4.73 cnf(c129, plain, aSet0(xT), inference(clausification, [status(esa)], [m__2202_02])). % 29.83/4.73 cnf(c131, plain, aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)), inference(clausification, [status(esa)], [m__2227])). % 29.83/4.73 cnf(c133, plain, aElementOf0(xx,xS), inference(clausification, [status(esa)], [m__2256])). % 29.83/4.73 cnf(c135, plain, aSet0(xQ), inference(clausification, [status(esa)], [m__2291])). % 29.83/4.73 cnf(c138, plain, aElement0(xy), inference(clausification, [status(esa)], [m__2304])). % 29.83/4.73 cnf(c142, plain, xP = sdtpldt0(sdtmndt0(xQ,xy),xx), inference(clausification, [status(esa)], [m__2357])). % 29.83/4.73 cnf(c143, plain, aElementOf0(xP,slbdtsldtrb0(xS,xk)), inference(clausification, [status(esa)], [m__2378])). % 29.83/4.73 cnf(c144, plain, ~aElementOf0(xx,xT), inference(clausification, [status(esa)], [negated_conjecture])). % 29.83/4.73 cnf(d0, plain, ~aSet0(X0) | ~aElement0(X1) | 'Ts23'(X0,X1,sdtpldt0(X0,X1)), inference(equality_resolution, [status(thm)], [c15])). % 29.83/4.73 cnf(d1, plain, aElementOf0(X0,X1) | ~aElement0(X0) | ~'Ts23'(X2,X0,X1), inference(equality_resolution, [status(thm)], [c21])). % 29.83/4.73 cnf(d2, plain, aElementOf0(X0,sdtpldt0(X1,X0)) | ~aElement0(X0) | ~aSet0(X1) | ~aElement0(X0), inference(resolution, [status(thm)], [d1,d0])). % 29.83/4.73 cnf(d3, plain, aElementOf0(xx,xP) | ~aSet0(sdtmndt0(xQ,xy)) | ~aElement0(xx), inference(superposition, [status(thm)], [c142,d2])). % 29.83/4.73 cnf(d4, plain, ~aSet0(xS) | aElement0(xx), inference(resolution, [status(thm)], [c133,c0])). % 29.83/4.73 cnf(d5, plain, aElement0(xx), inference(resolution, [status(thm)], [c128,d4])). % 29.83/4.73 cnf(d6, plain, ~aSet0(sdtmndt0(xQ,xy)) | aElementOf0(xx,xP), inference(resolution, [status(thm)], [d5,d3])). % 29.83/4.73 cnf(d7, plain, ~aSet0(X0) | ~aElement0(X1) | 'Ts29'(X0,X1,sdtmndt0(X0,X1)), inference(equality_resolution, [status(thm)], [c31])). % 29.83/4.73 cnf(d8, plain, ~aSet0(X0) | ~aElement0(X1) | aSet0(sdtmndt0(X0,X1)), inference(resolution, [status(thm)], [d7,c33])). % 29.83/4.73 cnf(d9, plain, ~aSet0(xQ) | ~aElement0(xy) | aElementOf0(xx,xP), inference(resolution, [status(thm)], [d8,d6])). % 29.83/4.73 cnf(d10, plain, aElementOf0(xx,xP) | ~aElement0(xy), inference(resolution, [status(thm)], [c135,d9])). % 29.83/4.73 cnf(d11, plain, aElementOf0(xx,xP), inference(resolution, [status(thm)], [c138,d10])). % 29.83/4.73 cnf(d12, plain, ~aSet0(X0) | ~aElementOf0(X1,szNzAzT0) | 'Ts106'(X0,X1,slbdtsldtrb0(X0,X1)), inference(equality_resolution, [status(thm)], [c112])). % 29.83/4.73 cnf(d13, plain, ~aSet0(X0) | ~aElementOf0(X1,szNzAzT0) | aSet0(slbdtsldtrb0(X0,X1)), inference(resolution, [status(thm)], [d12,c114])). % 29.83/4.73 cnf(d14, plain, ~aSet0(X0) | ~aElementOf0(X1,szNzAzT0) | ~aElementOf0(X2,slbdtsldtrb0(X0,X1)) | aSubsetOf0(X2,X0), inference(resolution, [status(thm)], [d12,c115])). % 29.83/4.73 cnf(d15, plain, ~aSet0(slbdtsldtrb0(xT,xk)) | aElementOf0(X0,slbdtsldtrb0(xT,xk)) | ~aElementOf0(X0,slbdtsldtrb0(xS,xk)), inference(resolution, [status(thm)], [c8,c131])). % 29.83/4.73 cnf(d16, plain, ~aSet0(slbdtsldtrb0(xT,xk)) | aElementOf0(xP,slbdtsldtrb0(xT,xk)), inference(resolution, [status(thm)], [d15,c143])). % 29.83/4.73 cnf(d17, plain, ~aSet0(slbdtsldtrb0(xT,xk)) | ~aSet0(xT) | ~aElementOf0(xk,szNzAzT0) | aSubsetOf0(xP,xT), inference(resolution, [status(thm)], [d16,d14])). % 29.83/4.73 cnf(d18, plain, ~aSet0(slbdtsldtrb0(xT,xk)) | ~aElementOf0(xk,szNzAzT0) | aSubsetOf0(xP,xT), inference(resolution, [status(thm)], [c129,d17])). % 29.83/4.73 cnf(d19, plain, ~aSet0(slbdtsldtrb0(xT,xk)) | aSubsetOf0(xP,xT), inference(resolution, [status(thm)], [c127,d18])). % 29.83/4.73 cnf(d20, plain, aSubsetOf0(xP,xT) | ~aSet0(xT) | ~aElementOf0(xk,szNzAzT0), inference(resolution, [status(thm)], [d19,d13])). % 29.83/4.73 cnf(d21, plain, ~aElementOf0(xk,szNzAzT0) | aSubsetOf0(xP,xT), inference(resolution, [status(thm)], [c129,d20])). % 29.83/4.73 cnf(d22, plain, aSubsetOf0(xP,xT), inference(resolution, [status(thm)], [c127,d21])). % 29.83/4.73 cnf(d23, plain, ~aSet0(xT) | aElementOf0(X0,xT) | ~aElementOf0(X0,xP), inference(resolution, [status(thm)], [d22,c8])). % 29.83/4.73 cnf(d24, plain, aElementOf0(X0,xT) | ~aElementOf0(X0,xP), inference(resolution, [status(thm)], [c129,d23])). % 29.83/4.73 cnf(d25, plain, aElementOf0(xx,xT), inference(resolution, [status(thm)], [d24,d11])). % 29.83/4.73 cnf(d26, plain, $false, inference(resolution, [status(thm)], [c144,d25])). % 29.83/4.73 % SZS output end CNFRefutation for theBenchmark.p 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