%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM849+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 : n007.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 10.97s 1.79s % Output : CNFRefutation 10.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : NUM849+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 % 0.09/0.36 % Computer : n007.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 26 04:11:25 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 10.97/1.79 % SZS status Theorem for theBenchmark.p % 10.97/1.79 % SZS output start CNFRefutation for theBenchmark.p % 10.97/1.79 fof(ass(cond(conseq(292), 1), 0), axiom, ! [X0] : ((vmul(vmul(vd448,vd449),X0) = vmul(vd448,vmul(vd449,X0)) => vmul(vd448,vplus(vmul(vd449,X0),vd449)) = vmul(vd448,vmul(vd449,vsucc(X0)))))). % 10.97/1.79 fof(ass(cond(conseq(292), 1), 3), axiom, ! [X0] : ((vmul(vmul(vd448,vd449),X0) = vmul(vd448,vmul(vd449,X0)) => vmul(vmul(vd448,vd449),vsucc(X0)) = vplus(vmul(vmul(vd448,vd449),X0),vmul(vd448,vd449))))). % 10.97/1.79 fof(ass(cond(281, 0), 0), axiom, ! [X0] : ! [X1] : ! [X2] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2))). % 10.97/1.79 fof(qu(ind(296), imp(296)), conjecture, ! [X0] : ((vmul(vmul(vd448,vd449),X0) = vmul(vd448,vmul(vd449,X0)) => vmul(vmul(vd448,vd449),vsucc(X0)) = vmul(vd448,vmul(vd449,vsucc(X0)))))). % 10.97/1.79 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((vmul(vmul(vd448,vd449),X0) = vmul(vd448,vmul(vd449,X0)) => vmul(vmul(vd448,vd449),vsucc(X0)) = vmul(vd448,vmul(vd449,vsucc(X0))))), inference(negate_conjecture, [status(cth)], [qu(ind(296), imp(296))])). % 10.97/1.79 cnf(c0, plain, vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0)) | vmul(vd448,vplus(vmul(vd449,X0),vd449)) = vmul(vd448,vmul(vd449,vsucc(X0))), inference(clausification, [status(esa)], [ass(cond(conseq(292), 1), 0)])). % 10.97/1.79 cnf(c3, plain, vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0)) | vmul(vmul(vd448,vd449),vsucc(X0)) = vplus(vmul(vmul(vd448,vd449),X0),vmul(vd448,vd449)), inference(clausification, [status(esa)], [ass(cond(conseq(292), 1), 3)])). % 10.97/1.79 cnf(c5, plain, vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)), inference(clausification, [status(esa)], [ass(cond(281, 0), 0)])). % 10.97/1.79 cnf(c13, plain, vmul(vmul(vd448,vd449),sK17) = vmul(vd448,vmul(vd449,sK17)), inference(clausification, [status(esa)], [negated_conjecture])). % 10.97/1.79 cnf(c14, plain, vmul(vmul(vd448,vd449),vsucc(sK17)) != vmul(vd448,vmul(vd449,vsucc(sK17))), inference(clausification, [status(esa)], [negated_conjecture])). % 10.97/1.79 cnf(d0, plain, vmul(vd448,vmul(vd449,sK17)) != vmul(vd448,vmul(vd449,sK17)) | vmul(vd448,vplus(vmul(vd449,sK17),vd449)) = vmul(vd448,vmul(vd449,vsucc(sK17))), inference(superposition, [status(thm)], [c13,c0])). % 10.97/1.79 cnf(d1, plain, vmul(vd448,vplus(vmul(vd449,sK17),vd449)) = vmul(vd448,vmul(vd449,vsucc(sK17))), inference(equality_resolution, [status(thm)], [d0])). % 10.97/1.79 cnf(d2, plain, vmul(vd448,vmul(vd449,sK17)) != vmul(vd448,vmul(vd449,sK17)) | vmul(vmul(vd448,vd449),vsucc(sK17)) = vplus(vmul(vmul(vd448,vd449),sK17),vmul(vd448,vd449)), inference(superposition, [status(thm)], [c13,c3])). % 10.97/1.79 cnf(d3, plain, vmul(vmul(vd448,vd449),vsucc(sK17)) = vplus(vmul(vd448,vmul(vd449,sK17)),vmul(vd448,vd449)) | vmul(vd448,vmul(vd449,sK17)) != vmul(vd448,vmul(vd449,sK17)), inference(demodulation, [status(thm)], [d2,c13])). % 10.97/1.79 cnf(d4, plain, vmul(vmul(vd448,vd449),vsucc(sK17)) = vplus(vmul(vd448,vmul(vd449,sK17)),vmul(vd448,vd449)), inference(equality_resolution, [status(thm)], [d3])). % 10.97/1.79 cnf(d5, plain, vmul(vmul(vd448,vd449),vsucc(sK17)) = vmul(vd448,vplus(vmul(vd449,sK17),vd449)), inference(demodulation, [status(thm)], [d4,c5])). % 10.97/1.79 cnf(d6, plain, vmul(vmul(vd448,vd449),vsucc(sK17)) = vmul(vd448,vmul(vd449,vsucc(sK17))), inference(demodulation, [status(thm)], [d5,d1])). % 10.97/1.79 cnf(d7, plain, $false, inference(resolution, [status(thm)], [c14,d6])). % 10.97/1.79 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------