%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM857+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 : n016.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 08:14:00 AM UTC 2026 % Result : Theorem 19.97s 2.94s % Output : CNFRefutation 19.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : NUM857+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 % 0.09/0.35 % Computer : n016.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 04:18:29 UTC 2026 % 0.09/0.35 % CPUTime : % 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 19.97/2.94 % SZS status Theorem for theBenchmark.p % 19.97/2.94 % SZS output start CNFRefutation for theBenchmark.p % 19.97/2.94 fof(holds(conjunct2(antec(323)), 531, 0), axiom, geq(vd529,vd530)). % 19.97/2.94 fof(holds(conjunct1(antec(323)), 528, 0), axiom, geq(vd526,vd527)). % 19.97/2.94 fof(ass(cond(318, 0), 0), axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((((greater(X2,X3) & geq(X0,X1)) | (geq(X2,X3) & greater(X0,X1))) => greater(vmul(X0,X2),vmul(X1,X3))))). % 19.97/2.94 fof(ass(cond(299, 0), 2), axiom, ! [X0] : ! [X1] : ! [X2] : ((greater(X1,X2) => greater(vmul(X1,X0),vmul(X2,X0))))). % 19.97/2.94 fof(ass(cond(270, 0), 0), axiom, ! [X0] : ! [X1] : vmul(X0,X1) = vmul(X1,X0)). % 19.97/2.94 fof(ass(cond(163, 0), 0), axiom, ! [X0] : ! [X1] : ((leq(X0,X1) => geq(X1,X0)))). % 19.97/2.94 fof(def(cond(conseq(axiom(3)), 17), 1), axiom, ! [X0] : ! [X1] : ((leq(X1,X0) <=> (less(X1,X0) | X1 = X0)))). % 19.97/2.94 fof(def(cond(conseq(axiom(3)), 16), 1), axiom, ! [X0] : ! [X1] : ((geq(X1,X0) <=> (greater(X1,X0) | X1 = X0)))). % 19.97/2.94 fof(holds(conseq(323), 532, 0), conjecture, geq(vmul(vd526,vd529),vmul(vd527,vd530))). % 19.97/2.94 fof(negated_conjecture, negated_conjecture, ~geq(vmul(vd526,vd529),vmul(vd527,vd530)), inference(negate_conjecture, [status(cth)], [holds(conseq(323), 532, 0)])). % 19.97/2.94 cnf(c0, plain, geq(vd529,vd530), inference(clausification, [status(esa)], [holds(conjunct2(antec(323)), 531, 0)])). % 19.97/2.94 cnf(c1, plain, geq(vd526,vd527), inference(clausification, [status(esa)], [holds(conjunct1(antec(323)), 528, 0)])). % 19.97/2.94 cnf(c2, plain, ~greater(X0,X1) | ~geq(X2,X3) | greater(vmul(X2,X0),vmul(X3,X1)), inference(clausification, [status(esa)], [ass(cond(318, 0), 0)])). % 19.97/2.94 cnf(c10, plain, ~greater(X0,X1) | greater(vmul(X0,X2),vmul(X1,X2)), inference(clausification, [status(esa)], [ass(cond(299, 0), 2)])). % 19.97/2.94 cnf(c13, plain, vmul(X0,X1) = vmul(X1,X0), inference(clausification, [status(esa)], [ass(cond(270, 0), 0)])). % 19.97/2.94 cnf(c36, plain, ~leq(X0,X1) | geq(X1,X0), inference(clausification, [status(esa)], [ass(cond(163, 0), 0)])). % 19.97/2.94 cnf(c40, plain, leq(X0,X1) | X0 != X1, inference(clausification, [status(esa)], [def(cond(conseq(axiom(3)), 17), 1)])). % 19.97/2.94 cnf(c41, plain, ~geq(X0,X1) | greater(X0,X1) | X0 = X1, inference(clausification, [status(esa)], [def(cond(conseq(axiom(3)), 16), 1)])). % 19.97/2.94 cnf(c42, plain, geq(X0,X1) | ~greater(X0,X1), inference(clausification, [status(esa)], [def(cond(conseq(axiom(3)), 16), 1)])). % 19.97/2.94 cnf(c71, plain, ~geq(vmul(vd526,vd529),vmul(vd527,vd530)), inference(clausification, [status(esa)], [negated_conjecture])). % 19.97/2.94 cnf(d0, plain, vd529 = vd530 | greater(vd529,vd530), inference(resolution, [status(thm)], [c41,c0])). % 19.97/2.94 cnf(d1, plain, geq(vmul(X0,X1),vmul(X2,X1)) | ~greater(X0,X2), inference(resolution, [status(thm)], [c42,c10])). % 19.97/2.94 cnf(d2, plain, vd526 = vd527 | greater(vd526,vd527), inference(resolution, [status(thm)], [c41,c1])). % 19.97/2.94 cnf(d3, plain, ~geq(vmul(vd529,vd526),vmul(vd527,vd530)), inference(demodulation, [status(thm)], [c71,c13])). % 19.97/2.94 cnf(d4, plain, ~geq(vmul(vd529,vd526),vmul(vd530,vd527)), inference(demodulation, [status(thm)], [d3,c13])). % 19.97/2.94 cnf(d5, plain, geq(vmul(X0,X1),vmul(X2,X3)) | ~geq(X0,X2) | ~greater(X1,X3), inference(resolution, [status(thm)], [c42,c2])). % 19.97/2.94 cnf(d6, plain, ~geq(vd529,vd530) | ~greater(vd526,vd527), inference(resolution, [status(thm)], [d5,d4])). % 19.97/2.94 cnf(d7, plain, ~greater(vd526,vd527), inference(resolution, [status(thm)], [c0,d6])). % 19.97/2.94 cnf(d8, plain, vd526 = vd527, inference(resolution, [status(thm)], [d7,d2])). % 19.97/2.94 cnf(d9, plain, ~geq(vmul(vd529,vd526),vmul(vd530,vd526)), inference(demodulation, [status(thm)], [d4,d8])). % 19.97/2.94 cnf(d10, plain, ~greater(vd529,vd530), inference(resolution, [status(thm)], [d9,d1])). % 19.97/2.94 cnf(d11, plain, vd529 = vd530, inference(resolution, [status(thm)], [d10,d0])). % 19.97/2.94 cnf(d12, plain, ~geq(vmul(vd529,vd526),vmul(vd529,vd526)), inference(demodulation, [status(thm)], [d9,d11])). % 19.97/2.94 cnf(d13, plain, leq(X0,X0), inference(equality_resolution, [status(thm)], [c40])). % 19.97/2.94 cnf(d14, plain, geq(X0,X0), inference(resolution, [status(thm)], [d13,c36])). % 19.97/2.94 cnf(d15, plain, $false, inference(resolution, [status(thm)], [d14,d12])). % 19.97/2.94 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------