%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM856+2 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n003.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 08:13:59 AM UTC 2026 % Result : Theorem 25.67s 4.28s % Output : CNFRefutation 25.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM856+2 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.09/0.35 % Computer : n003.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Sat Sep 26 04:15:23 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 25.67/4.28 % SZS status Theorem for theBenchmark.p % 25.67/4.28 % SZS output start CNFRefutation for theBenchmark.p % 25.67/4.28 fof(dis(antec(scope(318))), axiom, ((greater(vd519,vd520) & geq(vd517,vd518)) | (geq(vd519,vd520) & greater(vd517,vd518)))). % 25.67/4.28 fof(ass(cond(312, 0), 0), axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((greater(X2,X3) & greater(X0,X1)) => greater(vmul(X0,X2),vmul(X1,X3))))). % 25.67/4.28 fof(ass(cond(299, 0), 2), axiom, ! [X0] : ! [X1] : ! [X2] : ((greater(X1,X2) => greater(vmul(X1,X0),vmul(X2,X0))))). % 25.67/4.28 fof(ass(cond(281, 0), 0), axiom, ! [X0] : ! [X1] : ! [X2] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2))). % 25.67/4.28 fof(ass(cond(270, 0), 0), axiom, ! [X0] : ! [X1] : vmul(X0,X1) = vmul(X1,X0)). % 25.67/4.28 fof(ass(cond(189, 0), 0), axiom, ! [X0] : ! [X1] : greater(vplus(X0,X1),X0)). % 25.67/4.28 fof(def(cond(conseq(axiom(3)), 16), 1), axiom, ! [X0] : ! [X1] : ((geq(X1,X0) <=> (greater(X1,X0) | X1 = X0)))). % 25.67/4.28 fof(ass(cond(goal(130), 0), 3), axiom, ! [X0] : ! [X1] : ((X0 != X1 | ~greater(X0,X1)))). % 25.67/4.28 fof(def(cond(conseq(axiom(3)), 11), 1), axiom, ! [X0] : ! [X1] : ((greater(X1,X0) <=> ? [X2] : X1 = vplus(X0,X2)))). % 25.67/4.28 fof(holds(conseq(scope(318)), 525, 0), conjecture, greater(vmul(vd517,vd519),vmul(vd518,vd520))). % 25.67/4.28 fof(negated_conjecture, negated_conjecture, ~greater(vmul(vd517,vd519),vmul(vd518,vd520)), inference(negate_conjecture, [status(cth)], [holds(conseq(scope(318)), 525, 0)])). % 25.67/4.28 cnf(c0, plain, greater(vd519,vd520) | geq(vd519,vd520), inference(clausification, [status(esa)], [dis(antec(scope(318)))])). % 25.67/4.28 cnf(c1, plain, greater(vd519,vd520) | greater(vd517,vd518), inference(clausification, [status(esa)], [dis(antec(scope(318)))])). % 25.67/4.28 cnf(c3, plain, geq(vd517,vd518) | greater(vd517,vd518), inference(clausification, [status(esa)], [dis(antec(scope(318)))])). % 25.67/4.28 cnf(c4, plain, ~greater(X0,X1) | ~greater(X2,X3) | greater(vmul(X2,X0),vmul(X3,X1)), inference(clausification, [status(esa)], [ass(cond(312, 0), 0)])). % 25.67/4.28 cnf(c10, plain, ~greater(X0,X1) | greater(vmul(X0,X2),vmul(X1,X2)), inference(clausification, [status(esa)], [ass(cond(299, 0), 2)])). % 25.67/4.28 cnf(c12, plain, vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)), inference(clausification, [status(esa)], [ass(cond(281, 0), 0)])). % 25.67/4.28 cnf(c13, plain, vmul(X0,X1) = vmul(X1,X0), inference(clausification, [status(esa)], [ass(cond(270, 0), 0)])). % 25.67/4.28 cnf(c31, plain, greater(vplus(X0,X1),X0), inference(clausification, [status(esa)], [ass(cond(189, 0), 0)])). % 25.67/4.28 cnf(c41, plain, ~geq(X0,X1) | greater(X0,X1) | X0 = X1, inference(clausification, [status(esa)], [def(cond(conseq(axiom(3)), 16), 1)])). % 25.67/4.28 cnf(c49, plain, X0 != X1 | ~greater(X0,X1), inference(clausification, [status(esa)], [ass(cond(goal(130), 0), 3)])). % 25.67/4.28 cnf(c52, plain, ~greater(X0,X1) | X0 = vplus(X1,sK107(X1,X0)), inference(clausification, [status(esa)], [def(cond(conseq(axiom(3)), 11), 1)])). % 25.67/4.28 cnf(c71, plain, ~greater(vmul(vd517,vd519),vmul(vd518,vd520)), inference(clausification, [status(esa)], [negated_conjecture])). % 25.67/4.28 cnf(d0, plain, vd519 = vd520 | greater(vd519,vd520) | greater(vd519,vd520), inference(resolution, [status(thm)], [c41,c0])). % 25.67/4.28 cnf(d1, plain, ~greater(vmul(vd519,vd517),vmul(vd518,vd520)), inference(demodulation, [status(thm)], [c71,c13])). % 25.67/4.28 cnf(d2, plain, ~greater(vmul(vd519,vd517),vmul(vd520,vd518)), inference(demodulation, [status(thm)], [d1,c13])). % 25.67/4.28 cnf(d3, plain, ~greater(vd517,vd518) | ~greater(vd519,vd520), inference(resolution, [status(thm)], [c4,c71])). % 25.67/4.28 cnf(d4, plain, vd517 = vd518 | greater(vd517,vd518) | greater(vd517,vd518), inference(resolution, [status(thm)], [c41,c3])). % 25.67/4.28 cnf(d5, plain, vd517 = vd518 | ~greater(vd519,vd520), inference(resolution, [status(thm)], [d4,d3])). % 25.67/4.28 cnf(d6, plain, vd517 = vd518 | vd519 = vd520, inference(resolution, [status(thm)], [d5,d0])). % 25.67/4.28 cnf(d7, plain, ~greater(vmul(vd519,vd517),vmul(vd520,vd517)) | vd519 = vd520, inference(superposition, [status(thm)], [d6,d2])). % 25.67/4.28 cnf(d8, plain, vd519 = vd520 | ~greater(vd519,vd520), inference(resolution, [status(thm)], [d7,c10])). % 25.67/4.28 cnf(d9, plain, vd519 = vd520 | vd519 = vd520, inference(resolution, [status(thm)], [d8,d0])). % 25.67/4.28 cnf(d10, plain, ~greater(vmul(vd519,vd517),vmul(vd519,vd518)), inference(demodulation, [status(thm)], [d2,d9])). % 25.67/4.28 cnf(d11, plain, greater(vmul(X0,vplus(X1,X2)),vmul(X0,X1)), inference(superposition, [status(thm)], [c12,c31])). % 25.67/4.28 cnf(d12, plain, vd517 = vplus(vd518,sK107(vd518,vd517)) | greater(vd519,vd520), inference(resolution, [status(thm)], [c52,c1])). % 25.67/4.28 cnf(d13, plain, vd517 = vplus(vd518,sK107(vd518,vd517)) | greater(vd519,vd519), inference(demodulation, [status(thm)], [d12,d9])). % 25.67/4.28 cnf(d14, plain, ~greater(X0,X0), inference(equality_resolution, [status(thm)], [c49])). % 25.67/4.28 cnf(d15, plain, vd517 = vplus(vd518,sK107(vd518,vd517)), inference(resolution, [status(thm)], [d14,d13])). % 25.67/4.28 cnf(d16, plain, greater(vmul(X0,vd517),vmul(X0,vd518)), inference(superposition, [status(thm)], [d15,d11])). % 25.67/4.28 cnf(d17, plain, $false, inference(resolution, [status(thm)], [d16,d10])). % 25.67/4.28 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------