%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM584+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 : n009.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 08:13:14 AM UTC 2026 % Result : Theorem 1.73s 10.06s % Output : CNFRefutation 1.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM584+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 % 0.09/0.34 % Computer : n009.cluster.edu % 0.09/0.34 % Model : x86_64 x86_64 % 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.34 % Memory : 8046.5625MB % 0.09/0.34 % OS : Linux 6.8.0-71-generic % 0.09/0.34 % CPULimit : 300 % 0.09/0.34 % WCLimit : 300 % 0.09/0.34 % DateTime : Sat Sep 26 03:20:14 UTC 2026 % 0.09/0.35 % CPUTime : % 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 1.73/10.06 % SZS status Theorem for theBenchmark.p % 1.73/10.06 % SZS output start CNFRefutation for theBenchmark.p % 1.73/10.06 fof(mDefSub, definition, ! [X0] : ((aSet0(X0) => ! [X1] : ((aSubsetOf0(X1,X0) <=> (aSet0(X1) & ! [X2] : ((aElementOf0(X2,X1) => aElementOf0(X2,X0))))))))). % 1.73/10.06 fof(mNATSet, axiom, (aSet0(szNzAzT0) & isCountable0(szNzAzT0))). % 1.73/10.06 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))))))))). % 1.73/10.06 fof(m__3418, hypothesis, aElementOf0(xK,szNzAzT0)). % 1.73/10.06 fof(m__3435, hypothesis, (aSubsetOf0(xS,szNzAzT0) & isCountable0(xS))). % 1.73/10.06 fof(m__3453, hypothesis, (aFunction0(xc) & (szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)))). % 1.73/10.06 fof(m__4007, hypothesis, sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = xK). % 1.73/10.06 fof(m__4024, hypothesis, aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)). % 1.73/10.06 fof(m__, conjecture, aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK))). % 1.73/10.06 fof(negated_conjecture, negated_conjecture, ~aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)), inference(negate_conjecture, [status(cth)], [m__])). % 1.73/10.06 cnf(c7, plain, ~aSet0(X0) | ~aSubsetOf0(X1,X0) | aSet0(X1), inference(clausification, [status(esa)], [mDefSub])). % 1.73/10.06 cnf(c52, plain, aSet0(szNzAzT0), inference(clausification, [status(esa)], [mNATSet])). % 1.73/10.06 cnf(c112, plain, ~aSet0(X0) | ~aElementOf0(X1,szNzAzT0) | X2 != slbdtsldtrb0(X0,X1) | X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefSel])). % 1.73/10.06 cnf(c117, plain, ~X0(X1,X2,X3) | aElementOf0(X4,X3) | ~aSubsetOf0(X4,X1) | sbrdtbr0(X4) != X2, inference(clausification, [status(esa)], [mDefSel])). % 1.73/10.06 cnf(c174, plain, aElementOf0(xK,szNzAzT0), inference(clausification, [status(esa)], [m__3418])). % 1.73/10.06 cnf(c175, plain, aSubsetOf0(xS,szNzAzT0), inference(clausification, [status(esa)], [m__3435])). % 1.73/10.06 cnf(c178, plain, szDzozmdt0(xc) = slbdtsldtrb0(xS,xK), inference(clausification, [status(esa)], [m__3453])). % 1.73/10.06 cnf(c199, plain, sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = xK, inference(clausification, [status(esa)], [m__4007])). % 1.73/10.06 cnf(c200, plain, aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS), inference(clausification, [status(esa)], [m__4024])). % 1.73/10.06 cnf(c201, plain, ~aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)), inference(clausification, [status(esa)], [negated_conjecture])). % 1.73/10.06 cnf(d0, plain, ~aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),szDzozmdt0(xc)), inference(demodulation, [status(thm)], [c201,c178])). % 1.73/10.06 cnf(d1, plain, aElementOf0(X0,X1) | ~aSubsetOf0(X0,X2) | ~'Ts106'(X2,sbrdtbr0(X0),X1), inference(equality_resolution, [status(thm)], [c117])). % 1.73/10.06 cnf(d2, plain, ~'Ts106'(X0,xK,X1) | aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X1) | ~aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0), inference(superposition, [status(thm)], [c199,d1])). % 1.73/10.06 cnf(d3, plain, aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0) | ~'Ts106'(xS,xK,X0), inference(resolution, [status(thm)], [d2,c200])). % 1.73/10.06 cnf(d4, plain, ~'Ts106'(xS,xK,szDzozmdt0(xc)), inference(resolution, [status(thm)], [d3,d0])). % 1.73/10.06 cnf(d5, plain, X0 != szDzozmdt0(xc) | ~aSet0(xS) | ~aElementOf0(xK,szNzAzT0) | 'Ts106'(xS,xK,X0), inference(superposition, [status(thm)], [c178,c112])). % 1.73/10.06 cnf(d6, plain, X0 != szDzozmdt0(xc) | ~aSet0(xS) | 'Ts106'(xS,xK,X0), inference(resolution, [status(thm)], [c174,d5])). % 1.73/10.06 cnf(d7, plain, aSet0(xS) | ~aSet0(szNzAzT0), inference(resolution, [status(thm)], [c175,c7])). % 1.73/10.06 cnf(d8, plain, aSet0(xS), inference(resolution, [status(thm)], [c52,d7])). % 1.73/10.06 cnf(d9, plain, X0 != szDzozmdt0(xc) | 'Ts106'(xS,xK,X0), inference(resolution, [status(thm)], [d8,d6])). % 1.73/10.06 cnf(d10, plain, 'Ts106'(xS,xK,szDzozmdt0(xc)), inference(equality_resolution, [status(thm)], [d9])). % 1.73/10.06 cnf(d11, plain, $false, inference(resolution, [status(thm)], [d10,d4])). % 1.73/10.06 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------