%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM545+2 : 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 : n002.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 08:13:06 AM UTC 2026 % Result : Theorem 15.49s 2.60s % Output : CNFRefutation 15.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : NUM545+2 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.10/0.37 % Computer : n002.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sat Sep 26 03:13:05 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 15.49/2.60 % SZS status Theorem for theBenchmark.p % 15.49/2.60 % SZS output start CNFRefutation for theBenchmark.p % 15.49/2.60 fof(mZeroNum, axiom, aElementOf0(sz00,szNzAzT0)). % 15.49/2.60 fof(mSuccNum, axiom, ! [X0] : ((aElementOf0(X0,szNzAzT0) => (aElementOf0(szszuzczcdt0(X0),szNzAzT0) & szszuzczcdt0(X0) != sz00)))). % 15.49/2.60 fof(m__1986, hypothesis, (aSet0(xS) & (! [X0] : ((aElementOf0(X0,xS) => aElementOf0(X0,szNzAzT0))) & (aSubsetOf0(xS,szNzAzT0) & isFinite0(xS))))). % 15.49/2.60 fof(m__2035, hypothesis, (~((~? [X0] : aElementOf0(X0,xS) & xS = slcrc0)) => (aElementOf0(szmzazxdt0(xS),xS) & (! [X0] : ((aElementOf0(X0,xS) => sdtlseqdt0(X0,szmzazxdt0(xS)))) & (aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) & (! [X0] : ((aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) <=> (aElementOf0(X0,szNzAzT0) & sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(szmzazxdt0(xS)))))) & (! [X0] : ((aElementOf0(X0,xS) => aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))))) & aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))))))))). % 15.49/2.60 fof(m__, conjecture, ? [X0] : ((aElementOf0(X0,szNzAzT0) & ((aSet0(slbdtrb0(X0)) & ! [X1] : ((aElementOf0(X1,slbdtrb0(X0)) <=> (aElementOf0(X1,szNzAzT0) & sdtlseqdt0(szszuzczcdt0(X1),X0))))) => (! [X1] : ((aElementOf0(X1,xS) => aElementOf0(X1,slbdtrb0(X0)))) | aSubsetOf0(xS,slbdtrb0(X0))))))). % 15.49/2.60 fof(negated_conjecture, negated_conjecture, ~? [X0] : ((aElementOf0(X0,szNzAzT0) & ((aSet0(slbdtrb0(X0)) & ! [X1] : ((aElementOf0(X1,slbdtrb0(X0)) <=> (aElementOf0(X1,szNzAzT0) & sdtlseqdt0(szszuzczcdt0(X1),X0))))) => (! [X1] : ((aElementOf0(X1,xS) => aElementOf0(X1,slbdtrb0(X0)))) | aSubsetOf0(xS,slbdtrb0(X0)))))), inference(negate_conjecture, [status(cth)], [m__])). % 15.49/2.60 cnf(c54, plain, aElementOf0(sz00,szNzAzT0), inference(clausification, [status(esa)], [mZeroNum])). % 15.49/2.60 cnf(c55, plain, ~aElementOf0(X0,szNzAzT0) | aElementOf0(szszuzczcdt0(X0),szNzAzT0), inference(clausification, [status(esa)], [mSuccNum])). % 15.49/2.60 cnf(c110, plain, ~aElementOf0(X0,xS) | aElementOf0(X0,szNzAzT0), inference(clausification, [status(esa)], [m__1986])). % 15.49/2.60 cnf(c113, plain, ~aElementOf0(X0,xS) | X1, inference(clausification, [status(esa)], [m__2035])). % 15.49/2.60 cnf(c115, plain, ~X0 | aElementOf0(szmzazxdt0(xS),xS), inference(clausification, [status(esa)], [m__2035])). % 15.49/2.60 cnf(c122, plain, ~X0 | aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))), inference(clausification, [status(esa)], [m__2035])). % 15.49/2.60 cnf(c123, plain, ~aElementOf0(X0,szNzAzT0) | ~X1(X0), inference(clausification, [status(esa)], [negated_conjecture])). % 15.49/2.60 cnf(c128, plain, X0(X1) | aElementOf0(sK112(X1),xS), inference(clausification, [status(esa)], [negated_conjecture])). % 15.49/2.60 cnf(c130, plain, X0(X1) | ~aSubsetOf0(xS,slbdtrb0(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 15.49/2.60 cnf(d0, plain, ~aElementOf0(X0,szNzAzT0) | ~'Ts109'(szszuzczcdt0(X0)), inference(resolution, [status(thm)], [c55,c123])). % 15.49/2.60 cnf(d1, plain, ~'Ts109'(sz00), inference(resolution, [status(thm)], [c54,c123])). % 15.49/2.60 cnf(d2, plain, 'Ts104' | 'Ts109'(X0), inference(resolution, [status(thm)], [c113,c128])). % 15.49/2.60 cnf(d3, plain, 'Ts104', inference(resolution, [status(thm)], [d2,d1])). % 15.49/2.60 cnf(d4, plain, aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))), inference(resolution, [status(thm)], [d3,c122])). % 15.49/2.60 cnf(d5, plain, 'Ts109'(szszuzczcdt0(szmzazxdt0(xS))), inference(resolution, [status(thm)], [d4,c130])). % 15.49/2.60 cnf(d6, plain, ~aElementOf0(szmzazxdt0(xS),szNzAzT0), inference(resolution, [status(thm)], [d5,d0])). % 15.49/2.60 cnf(d7, plain, aElementOf0(szmzazxdt0(xS),xS), inference(resolution, [status(thm)], [d3,c115])). % 15.49/2.60 cnf(d8, plain, aElementOf0(szmzazxdt0(xS),szNzAzT0), inference(resolution, [status(thm)], [d7,c110])). % 15.49/2.60 cnf(d9, plain, $false, inference(resolution, [status(thm)], [d8,d6])). % 15.49/2.60 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------