%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM852+2 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n014.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 08:13:58 AM UTC 2026 % Result : Theorem 21.07s 3.48s % Output : CNFRefutation 21.07s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : NUM852+2 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.10/0.35 % Computer : n014.cluster.edu % 0.10/0.35 % Model : x86_64 x86_64 % 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.35 % Memory : 8046.5625MB % 0.10/0.35 % OS : Linux 6.8.0-71-generic % 0.10/0.35 % CPULimit : 300 % 0.10/0.35 % WCLimit : 300 % 0.10/0.35 % DateTime : Sat Sep 26 04:13:03 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 21.07/3.48 % SZS status Theorem for theBenchmark.p % 21.07/3.48 % SZS output start CNFRefutation for theBenchmark.p % 21.07/3.48 fof(holds(conseq_conjunct1(conseq(304)), 483, 0), axiom, greater(vd481,vd480)). % 21.07/3.48 fof(ass(cond(302, 0), 3), axiom, ! [X0] : ! [X1] : ((greater(X0,X1) => X0 = vplus(X1,vskolem9(X0,X1))))). % 21.07/3.48 fof(ass(cond(281, 0), 0), axiom, ! [X0] : ! [X1] : ! [X2] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2))). % 21.07/3.48 fof(ass(cond(270, 0), 0), axiom, ! [X0] : ! [X1] : vmul(X0,X1) = vmul(X1,X0)). % 21.07/3.48 fof(ass(cond(147, 0), 0), axiom, ! [X0] : ! [X1] : ((less(X0,X1) => greater(X1,X0)))). % 21.07/3.48 fof(def(cond(conseq(axiom(3)), 12), 1), axiom, ! [X0] : ! [X1] : ((less(X1,X0) <=> ? [X2] : X0 = vplus(X1,X2)))). % 21.07/3.48 fof(holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0), conjecture, greater(vmul(vd481,vd469),vmul(vd480,vd469))). % 21.07/3.48 fof(negated_conjecture, negated_conjecture, ~greater(vmul(vd481,vd469),vmul(vd480,vd469)), inference(negate_conjecture, [status(cth)], [holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)])). % 21.07/3.48 cnf(c0, plain, greater(vd481,vd480), inference(clausification, [status(esa)], [holds(conseq_conjunct1(conseq(304)), 483, 0)])). % 21.07/3.48 cnf(c6, plain, ~greater(X0,X1) | X0 = vplus(X1,vskolem9(X0,X1)), inference(clausification, [status(esa)], [ass(cond(302, 0), 3)])). % 21.07/3.48 cnf(c8, plain, vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)), inference(clausification, [status(esa)], [ass(cond(281, 0), 0)])). % 21.07/3.48 cnf(c9, plain, vmul(X0,X1) = vmul(X1,X0), inference(clausification, [status(esa)], [ass(cond(270, 0), 0)])). % 21.07/3.48 cnf(c11, plain, ~less(X0,X1) | greater(X1,X0), inference(clausification, [status(esa)], [ass(cond(147, 0), 0)])). % 21.07/3.48 cnf(c18, plain, less(X0,X1) | X1 != vplus(X0,X2), inference(clausification, [status(esa)], [def(cond(conseq(axiom(3)), 12), 1)])). % 21.07/3.48 cnf(c21, plain, ~greater(vmul(vd481,vd469),vmul(vd480,vd469)), inference(clausification, [status(esa)], [negated_conjecture])). % 21.07/3.48 cnf(d0, plain, ~greater(vmul(vd469,vd481),vmul(vd480,vd469)), inference(demodulation, [status(thm)], [c21,c9])). % 21.07/3.48 cnf(d1, plain, ~greater(vmul(vd469,vd481),vmul(vd469,vd480)), inference(demodulation, [status(thm)], [d0,c9])). % 21.07/3.48 cnf(d2, plain, less(X0,vplus(X0,X1)), inference(equality_resolution, [status(thm)], [c18])). % 21.07/3.48 cnf(d3, plain, greater(vplus(X0,X1),X0), inference(resolution, [status(thm)], [d2,c11])). % 21.07/3.48 cnf(d4, plain, greater(vmul(X0,vplus(X1,X2)),vmul(X0,X1)), inference(superposition, [status(thm)], [c8,d3])). % 21.07/3.48 cnf(d5, plain, greater(vmul(X2,X1),vmul(X2,X0)) | ~greater(X1,X0), inference(superposition, [status(thm)], [c6,d4])). % 21.07/3.48 cnf(d6, plain, ~greater(vd481,vd480), inference(resolution, [status(thm)], [d5,d1])). % 21.07/3.48 cnf(d7, plain, $false, inference(resolution, [status(thm)], [c0,d6])). % 21.07/3.48 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------