%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM586+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 : n019.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 54.00s 7.95s % Output : CNFRefutation 54.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : NUM586+3 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.11/0.38 % Computer : n019.cluster.edu % 0.11/0.38 % Model : x86_64 x86_64 % 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.38 % Memory : 8046.5625MB % 0.11/0.38 % OS : Linux 6.8.0-71-generic % 0.11/0.38 % CPULimit : 300 % 0.11/0.38 % WCLimit : 300 % 0.11/0.38 % DateTime : Sat Sep 26 03:20:49 UTC 2026 % 0.11/0.38 % CPUTime : % 0.11/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 54.00/7.95 % SZS status Theorem for theBenchmark.p % 54.00/7.95 % SZS output start CNFRefutation for theBenchmark.p % 54.00/7.95 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))))))))))))))))))))). % 54.00/7.95 fof(m__4200, hypothesis, aElementOf0(xi,szNzAzT0)). % 54.00/7.95 fof(m__4200_02, hypothesis, (? [X0] : ((aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,xi))) & sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) = xx)) & aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))))). % 54.00/7.95 fof(m__, conjecture, ? [X0] : ((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) & ! [X1] : ((aElementOf0(X1,sdtlpdtrp0(xN,xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)))) => ((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) & ! [X1] : ((aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) <=> (aElement0(X1) & (aElementOf0(X1,sdtlpdtrp0(xN,xi)) & X1 != szmzizndt0(sdtlpdtrp0(xN,xi))))))) => ((((aSet0(X0) & ! [X1] : ((aElementOf0(X1,X0) => aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))) | aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))) & sbrdtbr0(X0) = xk) | aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))))) & sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) = xx))). % 54.00/7.95 fof(negated_conjecture, negated_conjecture, ~? [X0] : ((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) & ! [X1] : ((aElementOf0(X1,sdtlpdtrp0(xN,xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)))) => ((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) & ! [X1] : ((aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) <=> (aElement0(X1) & (aElementOf0(X1,sdtlpdtrp0(xN,xi)) & X1 != szmzizndt0(sdtlpdtrp0(xN,xi))))))) => ((((aSet0(X0) & ! [X1] : ((aElementOf0(X1,X0) => aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))) | aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))) & sbrdtbr0(X0) = xk) | aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))))) & sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) = xx)), inference(negate_conjecture, [status(cth)], [m__])). % 54.00/7.95 cnf(c281, plain, ~aElementOf0(X0,szNzAzT0) | X1(X0), inference(clausification, [status(esa)], [m__4151])). % 54.00/7.95 cnf(c310, plain, ~X0(X1) | ~aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) | aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))), inference(clausification, [status(esa)], [m__4151])). % 54.00/7.95 cnf(c311, plain, ~X0(X1) | ~aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) | sbrdtbr0(X2) = xk, inference(clausification, [status(esa)], [m__4151])). % 54.00/7.95 cnf(c317, plain, aElementOf0(xi,szNzAzT0), inference(clausification, [status(esa)], [m__4200])). % 54.00/7.95 cnf(c318, plain, aElementOf0(sK229,szDzozmdt0(sdtlpdtrp0(xC,xi))), inference(clausification, [status(esa)], [m__4200_02])). % 54.00/7.95 cnf(c319, plain, sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK229) = xx, inference(clausification, [status(esa)], [m__4200_02])). % 54.00/7.95 cnf(c321, plain, ~X0(X1) | sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) != xx, inference(clausification, [status(esa)], [negated_conjecture])). % 54.00/7.95 cnf(c331, plain, X0(X1) | ~aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) | sbrdtbr0(X1) != xk, inference(clausification, [status(esa)], [negated_conjecture])). % 54.00/7.95 cnf(d0, plain, sbrdtbr0(sK229) = xk | ~'Ts216'(xi), inference(resolution, [status(thm)], [c311,c318])). % 54.00/7.95 cnf(d1, plain, 'Ts216'(xi), inference(resolution, [status(thm)], [c281,c317])). % 54.00/7.95 cnf(d2, plain, sbrdtbr0(sK229) = xk, inference(resolution, [status(thm)], [d1,d0])). % 54.00/7.95 cnf(d3, plain, xk != xk | ~aSubsetOf0(sK229,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) | 'Ts230'(sK229), inference(superposition, [status(thm)], [d2,c331])). % 54.00/7.95 cnf(d4, plain, xx != xx | ~'Ts230'(sK229), inference(superposition, [status(thm)], [c319,c321])). % 54.00/7.95 cnf(d5, plain, ~'Ts230'(sK229), inference(equality_resolution, [status(thm)], [d4])). % 54.00/7.95 cnf(d6, plain, xk != xk | ~aSubsetOf0(sK229,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))), inference(resolution, [status(thm)], [d5,d3])). % 54.00/7.95 cnf(d7, plain, ~aSubsetOf0(sK229,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))), inference(equality_resolution, [status(thm)], [d6])). % 54.00/7.95 cnf(d8, plain, ~aElementOf0(sK229,szDzozmdt0(sdtlpdtrp0(xC,xi))) | ~'Ts216'(xi), inference(resolution, [status(thm)], [d7,c310])). % 54.00/7.95 cnf(d9, plain, ~aElementOf0(sK229,szDzozmdt0(sdtlpdtrp0(xC,xi))), inference(resolution, [status(thm)], [d1,d8])). % 54.00/7.95 cnf(d10, plain, $false, inference(resolution, [status(thm)], [c318,d9])). % 54.00/7.95 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------