%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM587+3 : 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 08:13:15 AM UTC 2026 % Result : Theorem 52.41s 12.03s % Output : CNFRefutation 52.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : NUM587+3 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.44 % Computer : n010.cluster.edu % 0.19/0.44 % Model : x86_64 x86_64 % 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.44 % Memory : 8046.5625MB % 0.19/0.44 % OS : Linux 6.8.0-71-generic % 0.19/0.44 % CPULimit : 300 % 0.19/0.44 % WCLimit : 300 % 0.19/0.44 % DateTime : Sat Sep 26 03:20:29 UTC 2026 % 0.19/0.44 % CPUTime : % 0.19/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 52.41/12.03 % SZS status Theorem for theBenchmark.p % 52.41/12.03 % SZS output start CNFRefutation for theBenchmark.p % 52.41/12.03 fof(mImgRng, axiom, ! [X0] : ((aFunction0(X0) => ! [X1] : ((aElementOf0(X1,szDzozmdt0(X0)) => aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))))))). % 52.41/12.03 fof(m__3453, hypothesis, (aFunction0(xc) & (! [X0] : (((aElementOf0(X0,szDzozmdt0(xc)) => (aSet0(X0) & (! [X1] : ((aElementOf0(X1,X0) => aElementOf0(X1,xS))) & (aSubsetOf0(X0,xS) & sbrdtbr0(X0) = xK)))) & ((((aSet0(X0) & ! [X1] : ((aElementOf0(X1,X0) => aElementOf0(X1,xS)))) | aSubsetOf0(X0,xS)) & sbrdtbr0(X0) = xK) => aElementOf0(X0,szDzozmdt0(xc))))) & (szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) & (aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) & (! [X0] : ((aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) <=> ? [X1] : ((aElementOf0(X1,szDzozmdt0(xc)) & sdtlpdtrp0(xc,X1) = X0)))) & (! [X0] : ((aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) => aElementOf0(X0,xT))) & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)))))))). % 52.41/12.03 fof(m__4151, hypothesis, (aFunction0(xC) & (szDzozmdt0(xC) = szNzAzT0 & ! [X0] : ((aElementOf0(X0,szNzAzT0) => (aFunction0(sdtlpdtrp0(xC,X0)) & (aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) & (! [X1] : ((aElementOf0(X1,sdtlpdtrp0(xN,X0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1))) & (aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) & (! [X1] : ((aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) <=> (aElement0(X1) & (aElementOf0(X1,sdtlpdtrp0(xN,X0)) & X1 != szmzizndt0(sdtlpdtrp0(xN,X0)))))) & (! [X1] : (((aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0))) => (aSet0(X1) & (! [X2] : ((aElementOf0(X2,X1) => aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))))) & (aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) & sbrdtbr0(X1) = xk)))) & ((((aSet0(X1) & ! [X2] : ((aElementOf0(X2,X1) => aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))))) | aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))) & sbrdtbr0(X1) = xk) => aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))))) & (szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) & ! [X1] : (((aSet0(X1) & ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) & ! [X2] : ((aElementOf0(X2,sdtlpdtrp0(xN,X0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)))) => ((aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) & ! [X2] : ((aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) <=> (aElement0(X2) & (aElementOf0(X2,sdtlpdtrp0(xN,X0)) & X2 != szmzizndt0(sdtlpdtrp0(xN,X0))))))) => (((! [X2] : ((aElementOf0(X2,X1) => aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))))) | aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))) & sbrdtbr0(X1) = xk) | aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)))))) => (aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) & (! [X2] : ((aElementOf0(X2,sdtlpdtrp0(xN,X0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2))) & (! [X2] : ((aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) <=> (aElement0(X2) & (aElementOf0(X2,X1) | X2 = szmzizndt0(sdtlpdtrp0(xN,X0)))))) & sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))))))))))))))))))). % 52.41/12.03 fof(m__4200, hypothesis, aElementOf0(xi,szNzAzT0)). % 52.41/12.03 fof(m__4237, hypothesis, (aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) & (! [X0] : ((aElementOf0(X0,sdtlpdtrp0(xN,xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0))) & (aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) & (! [X0] : ((aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) <=> (aElement0(X0) & (aElementOf0(X0,sdtlpdtrp0(xN,xi)) & X0 != szmzizndt0(sdtlpdtrp0(xN,xi)))))) & (aSet0(xQ) & (! [X0] : ((aElementOf0(X0,xQ) => aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))) & (aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) & (sbrdtbr0(xQ) = xk & (aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) & sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ) = xx)))))))))). % 52.41/12.03 fof(m__4263, hypothesis, (aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) & (! [X0] : ((aElementOf0(X0,sdtlpdtrp0(xN,xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0))) & (aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) & (! [X0] : ((aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) <=> (aElement0(X0) & (aElementOf0(X0,xQ) | X0 = szmzizndt0(sdtlpdtrp0(xN,xi)))))) & (aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) & (! [X0] : ((aElementOf0(X0,sdtlpdtrp0(xN,xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0))) & (aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) & (! [X0] : ((aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) <=> (aElement0(X0) & (aElementOf0(X0,xQ) | X0 = szmzizndt0(sdtlpdtrp0(xN,xi)))))) & ? [X0] : ((aElementOf0(X0,szDzozmdt0(xc)) & sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))))))))))))). % 52.41/12.03 fof(m__, conjecture, aElementOf0(xx,xT)). % 52.41/12.03 fof(negated_conjecture, negated_conjecture, ~aElementOf0(xx,xT), inference(negate_conjecture, [status(cth)], [m__])). % 52.41/12.03 cnf(c158, plain, ~aFunction0(X0) | ~aElementOf0(X1,szDzozmdt0(X0)) | aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))), inference(clausification, [status(esa)], [mImgRng])). % 52.41/12.03 cnf(c179, plain, aFunction0(xc), inference(clausification, [status(esa)], [m__3453])). % 52.41/12.03 cnf(c192, plain, ~aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) | aElementOf0(X0,xT), inference(clausification, [status(esa)], [m__3453])). % 52.41/12.03 cnf(c281, plain, ~aElementOf0(X0,szNzAzT0) | X1(X0), inference(clausification, [status(esa)], [m__4151])). % 52.41/12.03 cnf(c292, plain, X0(X1,X2) | ~aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)), inference(clausification, [status(esa)], [m__4151])). % 52.41/12.03 cnf(c299, plain, ~X0(X1,X2) | sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))), inference(clausification, [status(esa)], [m__4151])). % 52.41/12.03 cnf(c316, plain, ~X0(X1) | ~aSet0(X2) | ~X3(X1,X2) | X4(X1,X2), inference(clausification, [status(esa)], [m__4151])). % 52.41/12.03 cnf(c317, plain, aElementOf0(xi,szNzAzT0), inference(clausification, [status(esa)], [m__4200])). % 52.41/12.03 cnf(c328, plain, aSet0(xQ), inference(clausification, [status(esa)], [m__4237])). % 52.41/12.03 cnf(c332, plain, aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)), inference(clausification, [status(esa)], [m__4237])). % 52.41/12.03 cnf(c333, plain, sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ) = xx, inference(clausification, [status(esa)], [m__4237])). % 52.41/12.03 cnf(c348, plain, aElementOf0(sK237,szDzozmdt0(xc)), inference(clausification, [status(esa)], [m__4263])). % 52.41/12.03 cnf(c349, plain, sdtlpdtrp0(xc,sK237) = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))), inference(clausification, [status(esa)], [m__4263])). % 52.41/12.03 cnf(c350, plain, ~aElementOf0(xx,xT), inference(clausification, [status(esa)], [negated_conjecture])). % 52.41/12.03 cnf(d0, plain, ~aElementOf0(X0,szDzozmdt0(xc)) | ~aFunction0(xc) | aElementOf0(sdtlpdtrp0(xc,X0),xT), inference(resolution, [status(thm)], [c158,c192])). % 52.41/12.03 cnf(d1, plain, ~aElementOf0(X0,szDzozmdt0(xc)) | aElementOf0(sdtlpdtrp0(xc,X0),xT), inference(resolution, [status(thm)], [c179,d0])). % 52.41/12.03 cnf(d2, plain, sdtlpdtrp0(xc,sK237) = sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ) | ~'Ts215'(xi,xQ), inference(superposition, [status(thm)], [c299,c349])). % 52.41/12.03 cnf(d3, plain, sdtlpdtrp0(xc,sK237) = xx | ~'Ts215'(xi,xQ), inference(demodulation, [status(thm)], [d2,c333])). % 52.41/12.03 cnf(d4, plain, 'Ts214'(xi,xQ), inference(resolution, [status(thm)], [c292,c332])). % 52.41/12.03 cnf(d5, plain, ~aSet0(xQ) | ~'Ts216'(xi) | 'Ts215'(xi,xQ), inference(resolution, [status(thm)], [d4,c316])). % 52.41/12.03 cnf(d6, plain, ~'Ts216'(xi) | 'Ts215'(xi,xQ), inference(resolution, [status(thm)], [c328,d5])). % 52.41/12.03 cnf(d7, plain, 'Ts216'(xi), inference(resolution, [status(thm)], [c281,c317])). % 52.41/12.03 cnf(d8, plain, 'Ts215'(xi,xQ), inference(resolution, [status(thm)], [d7,d6])). % 52.41/12.03 cnf(d9, plain, sdtlpdtrp0(xc,sK237) = xx, inference(resolution, [status(thm)], [d8,d3])). % 52.41/12.03 cnf(d10, plain, aElementOf0(xx,xT) | ~aElementOf0(sK237,szDzozmdt0(xc)), inference(superposition, [status(thm)], [d9,d1])). % 52.41/12.03 cnf(d11, plain, ~aElementOf0(sK237,szDzozmdt0(xc)), inference(resolution, [status(thm)], [c350,d10])). % 52.41/12.03 cnf(d12, plain, $false, inference(resolution, [status(thm)], [c348,d11])). % 52.41/12.03 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------