%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM625+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 : 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 08:13:23 AM UTC 2026 % Result : Theorem 20.85s 8.15s % Output : CNFRefutation 20.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM625+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 % 0.11/5.36 % Computer : n008.cluster.edu % 0.11/5.36 % Model : x86_64 x86_64 % 0.11/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/5.36 % Memory : 8046.5625MB % 0.11/5.36 % OS : Linux 6.8.0-71-generic % 0.11/5.36 % CPULimit : 300 % 0.11/5.36 % WCLimit : 300 % 0.11/5.36 % DateTime : Sat Sep 26 03:30:30 UTC 2026 % 0.11/5.37 % CPUTime : % 0.11/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 20.85/8.15 % SZS status Theorem for theBenchmark.p % 20.85/8.15 % SZS output start CNFRefutation for theBenchmark.p % 20.85/8.15 fof(mEOfElem, axiom, ! [X0] : ((aSet0(X0) => ! [X1] : ((aElementOf0(X1,X0) => aElement0(X1)))))). % 20.85/8.15 fof(mDefSub, definition, ! [X0] : ((aSet0(X0) => ! [X1] : ((aSubsetOf0(X1,X0) <=> (aSet0(X1) & ! [X2] : ((aElementOf0(X2,X1) => aElementOf0(X2,X0))))))))). % 20.85/8.15 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)))))))))). % 20.85/8.15 fof(m__4891, hypothesis, (aSet0(xO) & xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))). % 20.85/8.15 fof(m__5093, hypothesis, (aSubsetOf0(xQ,xO) & xQ != slcrc0)). % 20.85/8.15 fof(m__5147, hypothesis, xp = szmzizndt0(xQ)). % 20.85/8.15 fof(m__5164, hypothesis, (aSet0(xP) & xP = sdtmndt0(xQ,szmzizndt0(xQ)))). % 20.85/8.15 fof(m__5173, hypothesis, aElementOf0(xp,xQ)). % 20.85/8.15 fof(m__5348, hypothesis, aElementOf0(xx,xP)). % 20.85/8.15 fof(m__5496, hypothesis, xp = xx). % 20.85/8.15 cnf(c0, plain, ~aSet0(X0) | ~aElementOf0(X1,X0) | aElement0(X1), inference(clausification, [status(esa)], [mEOfElem])). % 20.85/8.15 cnf(c7, plain, ~aSet0(X0) | ~aSubsetOf0(X1,X0) | aSet0(X1), inference(clausification, [status(esa)], [mDefSub])). % 20.85/8.15 cnf(c31, plain, ~aSet0(X0) | ~aElement0(X1) | X2 != sdtmndt0(X0,X1) | X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefDiff])). % 20.85/8.15 cnf(c36, plain, ~X0(X1,X2,X3) | ~aElementOf0(X4,X3) | X4 != X2, inference(clausification, [status(esa)], [mDefDiff])). % 20.85/8.15 cnf(c220, plain, aSet0(xO), inference(clausification, [status(esa)], [m__4891])). % 20.85/8.15 cnf(c229, plain, aSubsetOf0(xQ,xO), inference(clausification, [status(esa)], [m__5093])). % 20.85/8.15 cnf(c233, plain, xp = szmzizndt0(xQ), inference(clausification, [status(esa)], [m__5147])). % 20.85/8.15 cnf(c235, plain, xP = sdtmndt0(xQ,szmzizndt0(xQ)), inference(clausification, [status(esa)], [m__5164])). % 20.85/8.15 cnf(c236, plain, aElementOf0(xp,xQ), inference(clausification, [status(esa)], [m__5173])). % 20.85/8.15 cnf(c246, plain, aElementOf0(xx,xP), inference(clausification, [status(esa)], [m__5348])). % 20.85/8.15 cnf(c256, plain, xp = xx, inference(clausification, [status(esa)], [m__5496])). % 20.85/8.15 cnf(d0, plain, ~aElementOf0(X0,X1) | ~'Ts29'(X2,X0,X1), inference(equality_resolution, [status(thm)], [c36])). % 20.85/8.15 cnf(d1, plain, ~aSet0(X0) | ~aElement0(X1) | 'Ts29'(X0,X1,sdtmndt0(X0,X1)), inference(equality_resolution, [status(thm)], [c31])). % 20.85/8.15 cnf(d2, plain, xx = szmzizndt0(xQ), inference(demodulation, [status(thm)], [c233,c256])). % 20.85/8.15 cnf(d3, plain, xP = sdtmndt0(xQ,xx), inference(demodulation, [status(thm)], [c235,d2])). % 20.85/8.15 cnf(d4, plain, 'Ts29'(xQ,xx,xP) | ~aSet0(xQ) | ~aElement0(xx), inference(superposition, [status(thm)], [d3,d1])). % 20.85/8.15 cnf(d5, plain, aSet0(xQ) | ~aSet0(xO), inference(resolution, [status(thm)], [c229,c7])). % 20.85/8.15 cnf(d6, plain, aSet0(xQ), inference(resolution, [status(thm)], [c220,d5])). % 20.85/8.15 cnf(d7, plain, ~aElement0(xx) | 'Ts29'(xQ,xx,xP), inference(resolution, [status(thm)], [d6,d4])). % 20.85/8.15 cnf(d8, plain, ~aSet0(xQ) | aElement0(xp), inference(resolution, [status(thm)], [c236,c0])). % 20.85/8.15 cnf(d9, plain, ~aSet0(xQ) | aElement0(xx), inference(demodulation, [status(thm)], [d8,c256])). % 20.85/8.15 cnf(d10, plain, aElement0(xx), inference(resolution, [status(thm)], [d6,d9])). % 20.85/8.15 cnf(d11, plain, 'Ts29'(xQ,xx,xP), inference(resolution, [status(thm)], [d10,d7])). % 20.85/8.15 cnf(d12, plain, ~aElementOf0(xx,xP), inference(resolution, [status(thm)], [d11,d0])). % 20.85/8.15 cnf(d13, plain, $false, inference(resolution, [status(thm)], [c246,d12])). % 20.85/8.15 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------