%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM560+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 08:13:09 AM UTC 2026 % Result : Theorem 28.62s 9.61s % Output : CNFRefutation 28.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : NUM560+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 % 0.08/5.37 % Computer : n009.cluster.edu % 0.08/5.37 % Model : x86_64 x86_64 % 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/5.37 % Memory : 8046.5625MB % 0.08/5.37 % OS : Linux 6.8.0-71-generic % 0.08/5.37 % CPULimit : 300 % 0.08/5.37 % WCLimit : 300 % 0.08/5.37 % DateTime : Sat Sep 26 03:14:20 UTC 2026 % 0.08/5.37 % CPUTime : % 0.08/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 28.62/9.61 % SZS status Theorem for theBenchmark.p % 28.62/9.61 % SZS output start CNFRefutation for theBenchmark.p % 28.62/9.61 fof(mEOfElem, axiom, ! [X0] : ((aSet0(X0) => ! [X1] : ((aElementOf0(X1,X0) => aElement0(X1)))))). % 28.62/9.61 fof(mDefSub, definition, ! [X0] : ((aSet0(X0) => ! [X1] : ((aSubsetOf0(X1,X0) <=> (aSet0(X1) & ! [X2] : ((aElementOf0(X2,X1) => aElementOf0(X2,X0))))))))). % 28.62/9.61 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)))))))))). % 28.62/9.61 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)))))))))). % 28.62/9.61 fof(mConsDiff, axiom, ! [X0] : ((aSet0(X0) => ! [X1] : ((aElementOf0(X1,X0) => sdtpldt0(sdtmndt0(X0,X1),X1) = X0))))). % 28.62/9.61 fof(mDomSet, axiom, ! [X0] : ((aFunction0(X0) => aSet0(szDzozmdt0(X0))))). % 28.62/9.61 fof(mDefPtt, definition, ! [X0] : ! [X1] : (((aFunction0(X0) & aElement0(X1)) => ! [X2] : ((X2 = sdtlbdtrb0(X0,X1) <=> (aSet0(X2) & ! [X3] : ((aElementOf0(X3,X2) <=> (aElementOf0(X3,szDzozmdt0(X0)) & sdtlpdtrp0(X0,X3) = X1))))))))). % 28.62/9.61 fof(m__2693, hypothesis, (aFunction0(xF) & aElement0(xy))). % 28.62/9.61 fof(m__, conjecture, aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))). % 28.62/9.61 fof(negated_conjecture, negated_conjecture, ~aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)), inference(negate_conjecture, [status(cth)], [m__])). % 28.62/9.61 cnf(c0, plain, ~aSet0(X0) | ~aElementOf0(X1,X0) | aElement0(X1), inference(clausification, [status(esa)], [mEOfElem])). % 28.62/9.61 cnf(c9, plain, ~aSet0(X0) | aSubsetOf0(X1,X0) | aElementOf0(sK10(X0,X1),X1) | ~aSet0(X1), inference(clausification, [status(esa)], [mDefSub])). % 28.62/9.61 cnf(c10, plain, ~aSet0(X0) | aSubsetOf0(X1,X0) | ~aElementOf0(sK10(X0,X1),X0) | ~aSet0(X1), inference(clausification, [status(esa)], [mDefSub])). % 28.62/9.61 cnf(c15, plain, ~aElement0(X0) | ~aSet0(X1) | sdtpldt0(X1,X0) != X2 | X3(X1,X0,X2), inference(clausification, [status(esa)], [mDefCons])). % 28.62/9.61 cnf(c23, plain, ~X0(X1,X2,X3) | aElementOf0(X4,X3) | X2 != X4 | ~aElement0(X4), inference(clausification, [status(esa)], [mDefCons])). % 28.62/9.61 cnf(c27, plain, ~aElement0(X0) | ~aSet0(X1) | sdtmndt0(X1,X0) != X2 | X3(X1,X0,X2), inference(clausification, [status(esa)], [mDefDiff])). % 28.62/9.61 cnf(c30, plain, ~X0(X1,X2,X3) | aSet0(X3), inference(clausification, [status(esa)], [mDefDiff])). % 28.62/9.61 cnf(c39, plain, ~aSet0(X0) | ~aElementOf0(X1,X0) | sdtpldt0(sdtmndt0(X0,X1),X1) = X0, inference(clausification, [status(esa)], [mConsDiff])). % 28.62/9.61 cnf(c120, plain, ~aFunction0(X0) | aSet0(szDzozmdt0(X0)), inference(clausification, [status(esa)], [mDomSet])). % 28.62/9.61 cnf(c122, plain, ~aElement0(X0) | ~aFunction0(X1) | X2(X1,X0), inference(clausification, [status(esa)], [mDefPtt])). % 28.62/9.61 cnf(c126, plain, ~X0(X1,X2) | sdtlbdtrb0(X1,X2) != X3 | aSet0(X3), inference(clausification, [status(esa)], [mDefPtt])). % 28.62/9.61 cnf(c127, plain, ~X0(X1,X2) | sdtlbdtrb0(X1,X2) != X3 | ~aElementOf0(X4,X3) | aElementOf0(X4,szDzozmdt0(X1)), inference(clausification, [status(esa)], [mDefPtt])). % 28.62/9.61 cnf(c132, plain, aFunction0(xF), inference(clausification, [status(esa)], [m__2693])). % 28.62/9.61 cnf(c133, plain, aElement0(xy), inference(clausification, [status(esa)], [m__2693])). % 28.62/9.61 cnf(c134, plain, ~aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)), inference(clausification, [status(esa)], [negated_conjecture])). % 28.62/9.61 cnf(d0, plain, aSet0(sdtlbdtrb0(X0,X1)) | ~'Ts125'(X0,X1), inference(equality_resolution, [status(thm)], [c126])). % 28.62/9.61 cnf(d1, plain, ~aSet0(X0) | ~aSet0(X1) | aSubsetOf0(X0,X1) | ~aSet0(X0) | aElement0(sK10(X1,X0)), inference(resolution, [status(thm)], [c9,c0])). % 28.62/9.61 cnf(d2, plain, ~aElementOf0(X0,sdtlbdtrb0(X1,X2)) | aElementOf0(X0,szDzozmdt0(X1)) | ~'Ts125'(X1,X2), inference(equality_resolution, [status(thm)], [c127])). % 28.62/9.61 cnf(d3, plain, ~aSet0(X0) | ~aElement0(X1) | 'Ts26'(X0,X1,sdtmndt0(X0,X1)), inference(equality_resolution, [status(thm)], [c27])). % 28.62/9.61 cnf(d4, plain, ~aSet0(X0) | ~aElement0(X1) | aSet0(sdtmndt0(X0,X1)), inference(resolution, [status(thm)], [d3,c30])). % 28.62/9.61 cnf(d5, plain, aElementOf0(X0,X1) | ~aElement0(X0) | ~'Ts19'(X2,X0,X1), inference(equality_resolution, [status(thm)], [c23])). % 28.62/9.61 cnf(d6, plain, ~aSet0(X0) | ~aElement0(X1) | 'Ts19'(X0,X1,sdtpldt0(X0,X1)), inference(equality_resolution, [status(thm)], [c15])). % 28.62/9.61 cnf(d7, plain, ~aSet0(X0) | ~aElement0(X1) | aElementOf0(X1,sdtpldt0(X0,X1)) | ~aElement0(X1), inference(resolution, [status(thm)], [d6,d5])). % 28.62/9.61 cnf(d8, plain, sdtpldt0(sdtmndt0(X0,sK10(X1,X0)),sK10(X1,X0)) = X0 | ~aSet0(X0) | ~aSet0(X0) | ~aSet0(X1) | aSubsetOf0(X0,X1), inference(resolution, [status(thm)], [c39,c9])). % 28.62/9.61 cnf(d9, plain, sdtpldt0(sdtmndt0(sdtlbdtrb0(xF,xy),sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy))),sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy))) = sdtlbdtrb0(xF,xy) | ~aSet0(szDzozmdt0(xF)) | ~aSet0(sdtlbdtrb0(xF,xy)), inference(resolution, [status(thm)], [d8,c134])). % 28.62/9.61 cnf(d10, plain, sdtpldt0(sdtmndt0(sdtlbdtrb0(xF,xy),sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy))),sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy))) = sdtlbdtrb0(xF,xy) | ~aSet0(szDzozmdt0(xF)) | ~'Ts125'(xF,xy), inference(resolution, [status(thm)], [d9,d0])). % 28.62/9.61 cnf(d11, plain, sdtpldt0(sdtmndt0(sdtlbdtrb0(xF,xy),sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy))),sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy))) = sdtlbdtrb0(xF,xy) | ~aSet0(szDzozmdt0(xF)) | ~aElement0(xy) | ~aFunction0(xF), inference(resolution, [status(thm)], [d10,c122])). % 28.62/9.61 cnf(d12, plain, sdtpldt0(sdtmndt0(sdtlbdtrb0(xF,xy),sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy))),sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy))) = sdtlbdtrb0(xF,xy) | ~aSet0(szDzozmdt0(xF)) | ~aElement0(xy), inference(resolution, [status(thm)], [c132,d11])). % 28.62/9.61 cnf(d13, plain, sdtpldt0(sdtmndt0(sdtlbdtrb0(xF,xy),sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy))),sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy))) = sdtlbdtrb0(xF,xy) | ~aSet0(szDzozmdt0(xF)), inference(resolution, [status(thm)], [c133,d12])). % 28.62/9.61 cnf(d14, plain, sdtpldt0(sdtmndt0(sdtlbdtrb0(xF,xy),sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy))),sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy))) = sdtlbdtrb0(xF,xy) | ~aFunction0(xF), inference(resolution, [status(thm)], [d13,c120])). % 28.62/9.61 cnf(d15, plain, sdtpldt0(sdtmndt0(sdtlbdtrb0(xF,xy),sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy))),sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy))) = sdtlbdtrb0(xF,xy), inference(resolution, [status(thm)], [c132,d14])). % 28.62/9.61 cnf(d16, plain, aElementOf0(sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy)),sdtlbdtrb0(xF,xy)) | ~aSet0(sdtmndt0(sdtlbdtrb0(xF,xy),sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy)))) | ~aElement0(sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy))), inference(superposition, [status(thm)], [d15,d7])). % 28.62/9.61 cnf(d17, plain, aElementOf0(sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy)),sdtlbdtrb0(xF,xy)) | ~aElement0(sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy))) | ~aSet0(sdtlbdtrb0(xF,xy)) | ~aElement0(sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy))), inference(resolution, [status(thm)], [d16,d4])). % 28.62/9.61 cnf(d18, plain, ~aSet0(sdtlbdtrb0(xF,xy)) | ~aElement0(sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy))) | aElementOf0(sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy)),szDzozmdt0(xF)) | ~'Ts125'(xF,xy), inference(resolution, [status(thm)], [d17,d2])). % 28.62/9.61 cnf(d19, plain, ~aSet0(sdtlbdtrb0(xF,xy)) | ~aElement0(sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy))) | ~'Ts125'(xF,xy) | ~aSet0(sdtlbdtrb0(xF,xy)) | ~aSet0(szDzozmdt0(xF)) | aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)), inference(resolution, [status(thm)], [d18,c10])). % 28.62/9.61 cnf(d20, plain, ~aSet0(szDzozmdt0(xF)) | ~aSet0(sdtlbdtrb0(xF,xy)) | ~aElement0(sK10(szDzozmdt0(xF),sdtlbdtrb0(xF,xy))) | ~'Ts125'(xF,xy), inference(resolution, [status(thm)], [c134,d19])). % 28.62/9.61 cnf(d21, plain, ~aSet0(szDzozmdt0(xF)) | ~aSet0(sdtlbdtrb0(xF,xy)) | ~'Ts125'(xF,xy) | ~aSet0(szDzozmdt0(xF)) | ~aSet0(sdtlbdtrb0(xF,xy)) | aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)), inference(resolution, [status(thm)], [d20,d1])). % 28.62/9.61 cnf(d22, plain, ~aSet0(szDzozmdt0(xF)) | ~aSet0(sdtlbdtrb0(xF,xy)) | ~'Ts125'(xF,xy), inference(resolution, [status(thm)], [c134,d21])). % 28.62/9.61 cnf(d23, plain, ~aSet0(szDzozmdt0(xF)) | ~'Ts125'(xF,xy) | ~'Ts125'(xF,xy), inference(resolution, [status(thm)], [d22,d0])). % 28.62/9.61 cnf(d24, plain, ~aSet0(szDzozmdt0(xF)) | ~aElement0(xy) | ~aFunction0(xF), inference(resolution, [status(thm)], [d23,c122])). % 28.62/9.61 cnf(d25, plain, ~aSet0(szDzozmdt0(xF)) | ~aElement0(xy), inference(resolution, [status(thm)], [c132,d24])). % 28.62/9.61 cnf(d26, plain, ~aSet0(szDzozmdt0(xF)), inference(resolution, [status(thm)], [c133,d25])). % 28.62/9.61 cnf(d27, plain, ~aFunction0(xF), inference(resolution, [status(thm)], [d26,c120])). % 28.62/9.61 cnf(d28, plain, $false, inference(resolution, [status(thm)], [c132,d27])). % 28.62/9.61 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------