%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : LAT382+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 : 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 07:48:34 AM UTC 2026 % Result : Theorem 12.80s 7.09s % Output : CNFRefutation 12.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LAT382+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 % 0.09/5.37 % Computer : n010.cluster.edu % 0.09/5.37 % Model : x86_64 x86_64 % 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/5.37 % Memory : 8046.5625MB % 0.09/5.37 % OS : Linux 6.8.0-71-generic % 0.09/5.37 % CPULimit : 300 % 0.09/5.37 % WCLimit : 300 % 0.09/5.37 % DateTime : Fri Sep 25 21:38:22 UTC 2026 % 0.09/5.38 % CPUTime : % 0.09/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 12.80/7.09 % SZS status Theorem for theBenchmark.p % 12.80/7.09 % SZS output start CNFRefutation for theBenchmark.p % 12.80/7.09 fof(mEOfElem, axiom, ! [X0] : ((aSet0(X0) => ! [X1] : ((aElementOf0(X1,X0) => aElement0(X1)))))). % 12.80/7.09 fof(mASymm, axiom, ! [X0] : ! [X1] : (((aElement0(X0) & aElement0(X1)) => ((sdtlseqdt0(X0,X1) & sdtlseqdt0(X1,X0)) => X0 = X1)))). % 12.80/7.09 fof(mDefInf, definition, ! [X0] : ((aSet0(X0) => ! [X1] : ((aSubsetOf0(X1,X0) => ! [X2] : ((aInfimumOfIn0(X2,X1,X0) <=> (aElementOf0(X2,X0) & (aLowerBoundOfIn0(X2,X1,X0) & ! [X3] : ((aLowerBoundOfIn0(X3,X1,X0) => sdtlseqdt0(X3,X2)))))))))))). % 12.80/7.09 fof(m__773, hypothesis, aSet0(xT)). % 12.80/7.09 fof(m__773_01, hypothesis, aSubsetOf0(xS,xT)). % 12.80/7.09 fof(m__792, hypothesis, (aInfimumOfIn0(xu,xS,xT) & aInfimumOfIn0(xv,xS,xT))). % 12.80/7.09 fof(m__, conjecture, xu = xv). % 12.80/7.09 fof(negated_conjecture, negated_conjecture, xu != xv, inference(negate_conjecture, [status(cth)], [m__])). % 12.80/7.09 cnf(c0, plain, ~aSet0(X0) | ~aElementOf0(X1,X0) | aElement0(X1), inference(clausification, [status(esa)], [mEOfElem])). % 12.80/7.09 cnf(c8, plain, X0 = X1 | ~aElement0(X0) | ~sdtlseqdt0(X1,X0) | ~sdtlseqdt0(X0,X1) | ~aElement0(X1), inference(clausification, [status(esa)], [mASymm])). % 12.80/7.09 cnf(c18, plain, ~aSet0(X0) | ~aSubsetOf0(X1,X0) | ~aInfimumOfIn0(X2,X1,X0) | X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefInf])). % 12.80/7.09 cnf(c20, plain, ~X0(X1,X2,X3) | aElementOf0(X3,X1), inference(clausification, [status(esa)], [mDefInf])). % 12.80/7.09 cnf(c21, plain, ~X0(X1,X2,X3) | aLowerBoundOfIn0(X3,X2,X1), inference(clausification, [status(esa)], [mDefInf])). % 12.80/7.09 cnf(c22, plain, ~X0(X1,X2,X3) | ~aLowerBoundOfIn0(X4,X2,X1) | sdtlseqdt0(X4,X3), inference(clausification, [status(esa)], [mDefInf])). % 12.80/7.09 cnf(c33, plain, aSet0(xT), inference(clausification, [status(esa)], [m__773])). % 12.80/7.09 cnf(c34, plain, aSubsetOf0(xS,xT), inference(clausification, [status(esa)], [m__773_01])). % 12.80/7.09 cnf(c35, plain, aInfimumOfIn0(xu,xS,xT), inference(clausification, [status(esa)], [m__792])). % 12.80/7.09 cnf(c36, plain, aInfimumOfIn0(xv,xS,xT), inference(clausification, [status(esa)], [m__792])). % 12.80/7.09 cnf(c37, plain, xu != xv, inference(clausification, [status(esa)], [negated_conjecture])). % 12.80/7.09 cnf(d0, plain, ~aSet0(xT) | ~aSubsetOf0(xS,xT) | 'Ts29'(xT,xS,xv), inference(resolution, [status(thm)], [c18,c36])). % 12.80/7.09 cnf(d1, plain, ~aSubsetOf0(xS,xT) | 'Ts29'(xT,xS,xv), inference(resolution, [status(thm)], [c33,d0])). % 12.80/7.09 cnf(d2, plain, 'Ts29'(xT,xS,xv), inference(resolution, [status(thm)], [c34,d1])). % 12.80/7.09 cnf(d3, plain, sdtlseqdt0(X0,xv) | ~aLowerBoundOfIn0(X0,xS,xT), inference(resolution, [status(thm)], [c22,d2])). % 12.80/7.09 cnf(d4, plain, ~aSet0(xT) | ~aSubsetOf0(xS,xT) | 'Ts29'(xT,xS,xu), inference(resolution, [status(thm)], [c18,c35])). % 12.80/7.09 cnf(d5, plain, ~aSubsetOf0(xS,xT) | 'Ts29'(xT,xS,xu), inference(resolution, [status(thm)], [c33,d4])). % 12.80/7.09 cnf(d6, plain, 'Ts29'(xT,xS,xu), inference(resolution, [status(thm)], [c34,d5])). % 12.80/7.09 cnf(d7, plain, aLowerBoundOfIn0(xu,xS,xT), inference(resolution, [status(thm)], [d6,c21])). % 12.80/7.09 cnf(d8, plain, sdtlseqdt0(xu,xv), inference(resolution, [status(thm)], [d7,d3])). % 12.80/7.09 cnf(d9, plain, xu = xv | ~aElement0(xv) | ~aElement0(xu) | ~sdtlseqdt0(xv,xu), inference(resolution, [status(thm)], [d8,c8])). % 12.80/7.09 cnf(d10, plain, ~aElement0(xu) | ~aElement0(xv) | ~sdtlseqdt0(xv,xu), inference(resolution, [status(thm)], [c37,d9])). % 12.80/7.09 cnf(d11, plain, aElementOf0(xv,xT), inference(resolution, [status(thm)], [d2,c20])). % 12.80/7.09 cnf(d12, plain, ~aSet0(xT) | aElement0(xv), inference(resolution, [status(thm)], [d11,c0])). % 12.80/7.09 cnf(d13, plain, aElement0(xv), inference(resolution, [status(thm)], [c33,d12])). % 12.80/7.09 cnf(d14, plain, ~aElement0(xu) | ~sdtlseqdt0(xv,xu), inference(resolution, [status(thm)], [d13,d10])). % 12.80/7.09 cnf(d15, plain, aElementOf0(xu,xT), inference(resolution, [status(thm)], [d6,c20])). % 12.80/7.09 cnf(d16, plain, ~aSet0(xT) | aElement0(xu), inference(resolution, [status(thm)], [d15,c0])). % 12.80/7.09 cnf(d17, plain, aElement0(xu), inference(resolution, [status(thm)], [c33,d16])). % 12.80/7.09 cnf(d18, plain, ~sdtlseqdt0(xv,xu), inference(resolution, [status(thm)], [d17,d14])). % 12.80/7.09 cnf(d19, plain, aLowerBoundOfIn0(xv,xS,xT), inference(resolution, [status(thm)], [d2,c21])). % 12.80/7.09 cnf(d20, plain, sdtlseqdt0(X0,xu) | ~aLowerBoundOfIn0(X0,xS,xT), inference(resolution, [status(thm)], [d6,c22])). % 12.80/7.09 cnf(d21, plain, sdtlseqdt0(xv,xu), inference(resolution, [status(thm)], [d20,d19])). % 12.80/7.09 cnf(d22, plain, $false, inference(resolution, [status(thm)], [d21,d18])). % 12.80/7.09 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------