%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM851+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 : n020.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 11.18s 1.85s % Output : CNFRefutation 11.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : NUM851+2 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.09/0.37 % Computer : n020.cluster.edu % 0.09/0.37 % Model : x86_64 x86_64 % 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.37 % Memory : 8046.5625MB % 0.09/0.37 % OS : Linux 6.8.0-71-generic % 0.09/0.37 % CPULimit : 300 % 0.09/0.37 % WCLimit : 300 % 0.09/0.37 % DateTime : Sat Sep 26 04:14:04 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 11.18/1.85 % SZS status Theorem for theBenchmark.p % 11.18/1.85 % SZS output start CNFRefutation for theBenchmark.p % 11.18/1.85 fof(holds(conseq_conjunct2(conseq(302)), 475, 0), axiom, vmul(vd470,vd469) = vmul(vplus(vd471,vd473),vd469)). % 11.18/1.85 fof(holds(conseq_conjunct1(conseq(302)), 474, 0), axiom, vd470 = vplus(vd471,vd473)). % 11.18/1.85 fof(ass(cond(281, 0), 0), axiom, ! [X0] : ! [X1] : ! [X2] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2))). % 11.18/1.85 fof(ass(cond(270, 0), 0), axiom, ! [X0] : ! [X1] : vmul(X0,X1) = vmul(X1,X0)). % 11.18/1.85 fof(holds(conseq_conjunct2(conseq(302)), 475, 1), conjecture, vmul(vplus(vd471,vd473),vd469) = vplus(vmul(vd471,vd469),vmul(vd473,vd469))). % 11.18/1.85 fof(negated_conjecture, negated_conjecture, vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)), inference(negate_conjecture, [status(cth)], [holds(conseq_conjunct2(conseq(302)), 475, 1)])). % 11.18/1.85 cnf(c0, plain, vmul(vd470,vd469) = vmul(vplus(vd471,vd473),vd469), inference(clausification, [status(esa)], [holds(conseq_conjunct2(conseq(302)), 475, 0)])). % 11.18/1.85 cnf(c1, plain, vd470 = vplus(vd471,vd473), inference(clausification, [status(esa)], [holds(conseq_conjunct1(conseq(302)), 474, 0)])). % 11.18/1.85 cnf(c4, plain, vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)), inference(clausification, [status(esa)], [ass(cond(281, 0), 0)])). % 11.18/1.85 cnf(c5, plain, vmul(X0,X1) = vmul(X1,X0), inference(clausification, [status(esa)], [ass(cond(270, 0), 0)])). % 11.18/1.85 cnf(c29, plain, vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)), inference(clausification, [status(esa)], [negated_conjecture])). % 11.18/1.85 cnf(d0, plain, vmul(vd470,vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)), inference(demodulation, [status(thm)], [c29,c0])). % 11.18/1.85 cnf(d1, plain, vmul(vd469,vd470) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)), inference(demodulation, [status(thm)], [d0,c5])). % 11.18/1.85 cnf(d2, plain, vmul(vd469,vd470) != vplus(vmul(vd469,vd471),vmul(vd473,vd469)), inference(demodulation, [status(thm)], [d1,c5])). % 11.18/1.85 cnf(d3, plain, vmul(vd469,vd470) != vplus(vmul(vd469,vd471),vmul(vd469,vd473)), inference(demodulation, [status(thm)], [d2,c5])). % 11.18/1.85 cnf(d4, plain, vmul(vd469,vd470) != vmul(vd469,vplus(vd471,vd473)), inference(demodulation, [status(thm)], [d3,c4])). % 11.18/1.85 cnf(d5, plain, vmul(vd469,vd470) != vmul(vd469,vd470), inference(demodulation, [status(thm)], [d4,c1])). % 11.18/1.85 cnf(d6, plain, $false, inference(equality_resolution, [status(thm)], [d5])). % 11.18/1.85 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------