%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM613+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 : n008.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 08:13:20 AM UTC 2026 % Result : Theorem 66.67s 9.90s % Output : CNFRefutation 66.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM613+3 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.09/0.36 % Computer : n008.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 26 03:27:39 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 66.67/9.90 % SZS status Theorem for theBenchmark.p % 66.67/9.90 % SZS output start CNFRefutation for theBenchmark.p % 66.67/9.90 fof(mSuccNum, axiom, ! [X0] : ((aElementOf0(X0,szNzAzT0) => (aElementOf0(szszuzczcdt0(X0),szNzAzT0) & szszuzczcdt0(X0) != sz00)))). % 66.67/9.90 fof(mSuccEquSucc, axiom, ! [X0] : ! [X1] : (((aElementOf0(X0,szNzAzT0) & aElementOf0(X1,szNzAzT0)) => (szszuzczcdt0(X0) = szszuzczcdt0(X1) => X0 = X1)))). % 66.67/9.90 fof(m__3418, hypothesis, aElementOf0(xK,szNzAzT0)). % 66.67/9.90 fof(m__3533, hypothesis, (aElementOf0(xk,szNzAzT0) & szszuzczcdt0(xk) = xK)). % 66.67/9.90 fof(m__3821, hypothesis, ! [X0] : ! [X1] : (((aElementOf0(X0,szNzAzT0) & (aElementOf0(X1,szNzAzT0) & X0 != X1)) => ~(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) & ! [X2] : ((aElementOf0(X2,sdtlpdtrp0(xN,X0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)))) => ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) & ! [X2] : ((aElementOf0(X2,sdtlpdtrp0(xN,X1)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)))) | szmzizndt0(sdtlpdtrp0(xN,X0)) = szmzizndt0(sdtlpdtrp0(xN,X1)))))))). % 66.67/9.90 fof(m__5078, hypothesis, (aSet0(xQ) & (! [X0] : ((aElementOf0(X0,xQ) => aElementOf0(X0,xO))) & (aSubsetOf0(xQ,xO) & (sbrdtbr0(xQ) = xK & aElementOf0(xQ,slbdtsldtrb0(xO,xK))))))). % 66.67/9.90 fof(m__5255, hypothesis, (sbrdtbr0(xQ) = szszuzczcdt0(xk) & (szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ) & aElementOf0(sbrdtbr0(xP),szNzAzT0)))). % 66.67/9.90 fof(m__, conjecture, sbrdtbr0(xP) = xk). % 66.67/9.90 fof(negated_conjecture, negated_conjecture, sbrdtbr0(xP) != xk, inference(negate_conjecture, [status(cth)], [m__])). % 66.67/9.90 cnf(c55, plain, ~aElementOf0(X0,szNzAzT0) | aElementOf0(szszuzczcdt0(X0),szNzAzT0), inference(clausification, [status(esa)], [mSuccNum])). % 66.67/9.90 cnf(c57, plain, ~aElementOf0(X0,szNzAzT0) | ~aElementOf0(X1,szNzAzT0) | szszuzczcdt0(X0) != szszuzczcdt0(X1) | X0 = X1, inference(clausification, [status(esa)], [mSuccEquSucc])). % 66.67/9.90 cnf(c174, plain, aElementOf0(xK,szNzAzT0), inference(clausification, [status(esa)], [m__3418])). % 66.67/9.90 cnf(c225, plain, aElementOf0(xk,szNzAzT0), inference(clausification, [status(esa)], [m__3533])). % 66.67/9.90 cnf(c226, plain, szszuzczcdt0(xk) = xK, inference(clausification, [status(esa)], [m__3533])). % 66.67/9.90 cnf(c250, plain, ~aElementOf0(X0,szNzAzT0) | ~aElementOf0(X1,szNzAzT0) | X0 = X1 | X2(X0,X1), inference(clausification, [status(esa)], [m__3821])). % 66.67/9.90 cnf(c255, plain, ~X0(X1,X2) | szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X2)), inference(clausification, [status(esa)], [m__3821])). % 66.67/9.90 cnf(c415, plain, sbrdtbr0(xQ) = xK, inference(clausification, [status(esa)], [m__5078])). % 66.67/9.90 cnf(c445, plain, szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ), inference(clausification, [status(esa)], [m__5255])). % 66.67/9.90 cnf(c446, plain, aElementOf0(sbrdtbr0(xP),szNzAzT0), inference(clausification, [status(esa)], [m__5255])). % 66.67/9.90 cnf(c447, plain, sbrdtbr0(xP) != xk, inference(clausification, [status(esa)], [negated_conjecture])). % 66.67/9.90 cnf(d0, plain, xK != szszuzczcdt0(X0) | xk = X0 | ~aElementOf0(X0,szNzAzT0) | ~aElementOf0(xk,szNzAzT0), inference(superposition, [status(thm)], [c226,c57])). % 66.67/9.90 cnf(d1, plain, xK != szszuzczcdt0(X0) | xk = X0 | ~aElementOf0(X0,szNzAzT0), inference(resolution, [status(thm)], [c225,d0])). % 66.67/9.90 cnf(d2, plain, szszuzczcdt0(sbrdtbr0(xP)) = xK, inference(demodulation, [status(thm)], [c445,c415])). % 66.67/9.90 cnf(d3, plain, xK != xK | xk = sbrdtbr0(xP) | ~aElementOf0(sbrdtbr0(xP),szNzAzT0), inference(superposition, [status(thm)], [d2,d1])). % 66.67/9.90 cnf(d4, plain, xK != xK | xk = sbrdtbr0(xP), inference(resolution, [status(thm)], [c446,d3])). % 66.67/9.90 cnf(d5, plain, xK = X0 | ~aElementOf0(X0,szNzAzT0) | 'Ts199'(xK,X0), inference(resolution, [status(thm)], [c250,c174])). % 66.67/9.90 cnf(d6, plain, xK = szszuzczcdt0(X0) | 'Ts199'(xK,szszuzczcdt0(X0)) | ~aElementOf0(X0,szNzAzT0), inference(resolution, [status(thm)], [d5,c55])). % 66.67/9.90 cnf(d7, plain, 'Ts199'(xK,xK) | xK = szszuzczcdt0(xk) | ~aElementOf0(xk,szNzAzT0), inference(superposition, [status(thm)], [c226,d6])). % 66.67/9.90 cnf(d8, plain, xK = xK | ~aElementOf0(xk,szNzAzT0) | 'Ts199'(xK,xK), inference(demodulation, [status(thm)], [d7,c226])). % 66.67/9.90 cnf(d9, plain, xK = xK | 'Ts199'(xK,xK), inference(resolution, [status(thm)], [c225,d8])). % 66.67/9.90 cnf(d10, plain, ~'Ts199'(X0,X0), inference(equality_resolution, [status(thm)], [c255])). % 66.67/9.90 cnf(d11, plain, xK = xK, inference(resolution, [status(thm)], [d10,d9])). % 66.67/9.90 cnf(d12, plain, xk = sbrdtbr0(xP), inference(resolution, [status(thm)], [d11,d4])). % 66.67/9.90 cnf(d13, plain, xk != xk, inference(demodulation, [status(thm)], [c447,d12])). % 66.67/9.90 cnf(d14, plain, $false, inference(equality_resolution, [status(thm)], [d13])). % 66.67/9.90 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------