%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM564+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 08:13:10 AM UTC 2026 % Result : Theorem 13.96s 5.22s % Output : CNFRefutation 13.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : NUM564+1 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.45 % Computer : n010.cluster.edu % 0.19/0.45 % Model : x86_64 x86_64 % 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.45 % Memory : 8046.5625MB % 0.19/0.45 % OS : Linux 6.8.0-71-generic % 0.19/0.45 % CPULimit : 300 % 0.19/0.45 % WCLimit : 300 % 0.19/0.45 % DateTime : Sat Sep 26 03:15:03 UTC 2026 % 0.19/0.46 % CPUTime : % 0.19/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 13.96/5.22 % SZS status Theorem for theBenchmark.p % 13.96/5.22 % SZS output start CNFRefutation for theBenchmark.p % 13.96/5.22 fof(mDefEmp, definition, ! [X0] : ((X0 = slcrc0 <=> (aSet0(X0) & ~? [X1] : aElementOf0(X1,X0))))). % 13.96/5.22 fof(mDefSub, definition, ! [X0] : ((aSet0(X0) => ! [X1] : ((aSubsetOf0(X1,X0) <=> (aSet0(X1) & ! [X2] : ((aElementOf0(X2,X1) => aElementOf0(X2,X0))))))))). % 13.96/5.22 fof(mNATSet, axiom, (aSet0(szNzAzT0) & isCountable0(szNzAzT0))). % 13.96/5.22 fof(mZeroNum, axiom, aElementOf0(sz00,szNzAzT0)). % 13.96/5.22 fof(mSegZero, axiom, slbdtrb0(sz00) = slcrc0). % 13.96/5.22 fof(mCardSeg, axiom, ! [X0] : ((aElementOf0(X0,szNzAzT0) => sbrdtbr0(slbdtrb0(X0)) = X0))). % 13.96/5.22 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))))))))). % 13.96/5.22 fof(m__3435, hypothesis, (aSubsetOf0(xS,szNzAzT0) & isCountable0(xS))). % 13.96/5.22 fof(m__3453, hypothesis, (aFunction0(xc) & (szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)))). % 13.96/5.22 fof(m__3462, hypothesis, xK = sz00). % 13.96/5.22 fof(m__, conjecture, aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))). % 13.96/5.22 fof(negated_conjecture, negated_conjecture, ~aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)), inference(negate_conjecture, [status(cth)], [m__])). % 13.96/5.22 cnf(c1, plain, X0 != slcrc0 | aSet0(X0), inference(clausification, [status(esa)], [mDefEmp])). % 13.96/5.22 cnf(c2, plain, X0 != slcrc0 | ~aElementOf0(X1,X0), inference(clausification, [status(esa)], [mDefEmp])). % 13.96/5.22 cnf(c7, plain, ~aSet0(X0) | ~aSubsetOf0(X1,X0) | aSet0(X1), inference(clausification, [status(esa)], [mDefSub])). % 13.96/5.22 cnf(c9, plain, ~aSet0(X0) | aSubsetOf0(X1,X0) | ~aSet0(X1) | aElementOf0(sK14(X0,X1),X1), inference(clausification, [status(esa)], [mDefSub])). % 13.96/5.22 cnf(c52, plain, aSet0(szNzAzT0), inference(clausification, [status(esa)], [mNATSet])). % 13.96/5.22 cnf(c54, plain, aElementOf0(sz00,szNzAzT0), inference(clausification, [status(esa)], [mZeroNum])). % 13.96/5.22 cnf(c103, plain, slbdtrb0(sz00) = slcrc0, inference(clausification, [status(esa)], [mSegZero])). % 13.96/5.22 cnf(c111, plain, ~aElementOf0(X0,szNzAzT0) | sbrdtbr0(slbdtrb0(X0)) = X0, inference(clausification, [status(esa)], [mCardSeg])). % 13.96/5.22 cnf(c112, plain, ~aSet0(X0) | ~aElementOf0(X1,szNzAzT0) | X2 != slbdtsldtrb0(X0,X1) | X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefSel])). % 13.96/5.22 cnf(c117, plain, ~X0(X1,X2,X3) | aElementOf0(X4,X3) | ~aSubsetOf0(X4,X1) | sbrdtbr0(X4) != X2, inference(clausification, [status(esa)], [mDefSel])). % 13.96/5.22 cnf(c175, plain, aSubsetOf0(xS,szNzAzT0), inference(clausification, [status(esa)], [m__3435])). % 13.96/5.22 cnf(c178, plain, szDzozmdt0(xc) = slbdtsldtrb0(xS,xK), inference(clausification, [status(esa)], [m__3453])). % 13.96/5.22 cnf(c184, plain, xK = sz00, inference(clausification, [status(esa)], [m__3462])). % 13.96/5.22 cnf(c185, plain, ~aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)), inference(clausification, [status(esa)], [negated_conjecture])). % 13.96/5.22 cnf(d0, plain, ~aElementOf0(X0,slcrc0), inference(equality_resolution, [status(thm)], [c2])). % 13.96/5.22 cnf(d1, plain, ~aSet0(X0) | ~aSet0(slcrc0) | aSubsetOf0(slcrc0,X0), inference(resolution, [status(thm)], [d0,c9])). % 13.96/5.22 cnf(d2, plain, aSet0(slcrc0), inference(equality_resolution, [status(thm)], [c1])). % 13.96/5.22 cnf(d3, plain, ~aSet0(X0) | aSubsetOf0(slcrc0,X0), inference(resolution, [status(thm)], [d2,d1])). % 13.96/5.22 cnf(d4, plain, ~aSet0(X0) | ~aElementOf0(X1,szNzAzT0) | 'Ts106'(X0,X1,slbdtsldtrb0(X0,X1)), inference(equality_resolution, [status(thm)], [c112])). % 13.96/5.22 cnf(d5, plain, szDzozmdt0(xc) = slbdtsldtrb0(xS,sz00), inference(demodulation, [status(thm)], [c178,c184])). % 13.96/5.22 cnf(d6, plain, 'Ts106'(xS,sz00,szDzozmdt0(xc)) | ~aSet0(xS) | ~aElementOf0(sz00,szNzAzT0), inference(superposition, [status(thm)], [d5,d4])). % 13.96/5.22 cnf(d7, plain, ~aSet0(xS) | 'Ts106'(xS,sz00,szDzozmdt0(xc)), inference(resolution, [status(thm)], [c54,d6])). % 13.96/5.22 cnf(d8, plain, aSet0(xS) | ~aSet0(szNzAzT0), inference(resolution, [status(thm)], [c175,c7])). % 13.96/5.22 cnf(d9, plain, aSet0(xS), inference(resolution, [status(thm)], [c52,d8])). % 13.96/5.22 cnf(d10, plain, 'Ts106'(xS,sz00,szDzozmdt0(xc)), inference(resolution, [status(thm)], [d9,d7])). % 13.96/5.22 cnf(d11, plain, aElementOf0(X0,X1) | ~aSubsetOf0(X0,X2) | ~'Ts106'(X2,sbrdtbr0(X0),X1), inference(equality_resolution, [status(thm)], [c117])). % 13.96/5.22 cnf(d12, plain, sbrdtbr0(slbdtrb0(sz00)) = sz00, inference(resolution, [status(thm)], [c111,c54])). % 13.96/5.22 cnf(d13, plain, sbrdtbr0(slcrc0) = sz00, inference(demodulation, [status(thm)], [d12,c103])). % 13.96/5.22 cnf(d14, plain, ~'Ts106'(X0,sz00,X1) | aElementOf0(slcrc0,X1) | ~aSubsetOf0(slcrc0,X0), inference(superposition, [status(thm)], [d13,d11])). % 13.96/5.22 cnf(d15, plain, aElementOf0(slcrc0,szDzozmdt0(xc)) | ~aSubsetOf0(slcrc0,xS), inference(resolution, [status(thm)], [d14,d10])). % 13.96/5.22 cnf(d16, plain, ~aElementOf0(slcrc0,szDzozmdt0(xc)), inference(demodulation, [status(thm)], [c185,d5])). % 13.96/5.22 cnf(d17, plain, ~aSubsetOf0(slcrc0,xS), inference(resolution, [status(thm)], [d16,d15])). % 13.96/5.22 cnf(d18, plain, ~aSet0(xS), inference(resolution, [status(thm)], [d17,d3])). % 13.96/5.22 cnf(d19, plain, $false, inference(resolution, [status(thm)], [d9,d18])). % 13.96/5.22 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------