%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM841+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 : 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 08:13:56 AM UTC 2026 % Result : Theorem 55.06s 12.46s % Output : CNFRefutation 55.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM841+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 % 0.09/0.37 % Computer : n014.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 04:12:18 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 55.06/12.46 % SZS status Theorem for theBenchmark.p % 55.06/12.46 % SZS output start CNFRefutation for theBenchmark.p % 55.06/12.46 fof(holds(213, 351, 2), axiom, vplus(vd348,vd345) = vplus(vd345,vd348)). % 55.06/12.46 fof(holds(213, 351, 1), axiom, greater(vplus(vd347,vd345),vplus(vd348,vd345))). % 55.06/12.46 fof(holds(213, 351, 0), axiom, vplus(vd345,vd347) = vplus(vd347,vd345)). % 55.06/12.46 fof(holds(212, 350, 0), axiom, greater(vplus(vd344,vd347),vplus(vd345,vd347))). % 55.06/12.46 fof(ass(cond(goal(193), 0), 0), axiom, ! [X0] : ! [X1] : ! [X2] : ((less(X0,X1) => less(vplus(X0,X2),vplus(X1,X2))))). % 55.06/12.46 fof(ass(cond(189, 0), 0), axiom, ! [X0] : ! [X1] : greater(vplus(X0,X1),X0)). % 55.06/12.46 fof(ass(cond(147, 0), 0), axiom, ! [X0] : ! [X1] : ((less(X0,X1) => greater(X1,X0)))). % 55.06/12.46 fof(ass(cond(140, 0), 0), axiom, ! [X0] : ! [X1] : ((greater(X0,X1) => less(X1,X0)))). % 55.06/12.46 fof(ass(cond(goal(130), 0), 0), axiom, ! [X0] : ! [X1] : ((X0 = X1 | (greater(X0,X1) | less(X0,X1))))). % 55.06/12.46 fof(ass(cond(goal(130), 0), 2), axiom, ! [X0] : ! [X1] : ((~greater(X0,X1) | ~less(X0,X1)))). % 55.06/12.46 fof(def(cond(conseq(axiom(3)), 11), 1), axiom, ! [X0] : ! [X1] : ((greater(X1,X0) <=> ? [X2] : X1 = vplus(X0,X2)))). % 55.06/12.46 fof(ass(cond(61, 0), 0), axiom, ! [X0] : ! [X1] : vplus(X1,X0) = vplus(X0,X1)). % 55.06/12.46 fof(ass(cond(33, 0), 0), axiom, ! [X0] : ! [X1] : ! [X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2))). % 55.06/12.46 fof(holds(214, 352, 0), conjecture, greater(vplus(vd344,vd347),vplus(vd345,vd348))). % 55.06/12.46 fof(negated_conjecture, negated_conjecture, ~greater(vplus(vd344,vd347),vplus(vd345,vd348)), inference(negate_conjecture, [status(cth)], [holds(214, 352, 0)])). % 55.06/12.46 cnf(c0, plain, vplus(vd345,vd348) = vplus(vd348,vd345), inference(clausification, [status(esa)], [holds(213, 351, 2)])). % 55.06/12.46 cnf(c1, plain, greater(vplus(vd347,vd345),vplus(vd348,vd345)), inference(clausification, [status(esa)], [holds(213, 351, 1)])). % 55.06/12.46 cnf(c2, plain, vplus(vd345,vd347) = vplus(vd347,vd345), inference(clausification, [status(esa)], [holds(213, 351, 0)])). % 55.06/12.46 cnf(c3, plain, greater(vplus(vd344,vd347),vplus(vd345,vd347)), inference(clausification, [status(esa)], [holds(212, 350, 0)])). % 55.06/12.46 cnf(c9, plain, ~less(X0,X1) | less(vplus(X0,X2),vplus(X1,X2)), inference(clausification, [status(esa)], [ass(cond(goal(193), 0), 0)])). % 55.06/12.46 cnf(c12, plain, greater(vplus(X0,X1),X0), inference(clausification, [status(esa)], [ass(cond(189, 0), 0)])). % 55.06/12.46 cnf(c13, plain, ~less(X0,X1) | greater(X1,X0), inference(clausification, [status(esa)], [ass(cond(147, 0), 0)])). % 55.06/12.46 cnf(c14, plain, ~greater(X0,X1) | less(X1,X0), inference(clausification, [status(esa)], [ass(cond(140, 0), 0)])). % 55.06/12.46 cnf(c15, plain, X0 = X1 | less(X1,X0) | greater(X1,X0), inference(clausification, [status(esa)], [ass(cond(goal(130), 0), 0)])). % 55.06/12.46 cnf(c16, plain, ~greater(X0,X1) | ~less(X0,X1), inference(clausification, [status(esa)], [ass(cond(goal(130), 0), 2)])). % 55.06/12.46 cnf(c17, plain, ~greater(X0,X1) | vplus(X1,sK30(X1,X0)) = X0, inference(clausification, [status(esa)], [def(cond(conseq(axiom(3)), 11), 1)])). % 55.06/12.46 cnf(c20, plain, vplus(X0,X1) = vplus(X1,X0), inference(clausification, [status(esa)], [ass(cond(61, 0), 0)])). % 55.06/12.46 cnf(c23, plain, vplus(X0,vplus(X1,X2)) = vplus(vplus(X0,X1),X2), inference(clausification, [status(esa)], [ass(cond(33, 0), 0)])). % 55.06/12.46 cnf(c27, plain, ~greater(vplus(vd344,vd347),vplus(vd345,vd348)), inference(clausification, [status(esa)], [negated_conjecture])). % 55.06/12.46 cnf(d0, plain, greater(vplus(X0,vplus(X1,X2)),vplus(X0,X1)), inference(superposition, [status(thm)], [c23,c12])). % 55.06/12.46 cnf(d1, plain, ~greater(vplus(vd347,vd344),vplus(vd345,vd348)), inference(demodulation, [status(thm)], [c27,c20])). % 55.06/12.46 cnf(d2, plain, X0 = X1 | greater(X1,X0) | greater(X0,X1), inference(resolution, [status(thm)], [c15,c13])). % 55.06/12.46 cnf(d3, plain, vplus(vd345,vd348) = vplus(vd347,vd344) | greater(vplus(vd345,vd348),vplus(vd347,vd344)), inference(resolution, [status(thm)], [d2,d1])). % 55.06/12.46 cnf(d4, plain, vplus(vd345,vd348) = vplus(vd347,vd344) | vplus(vplus(vd347,vd344),sK30(vplus(vd347,vd344),vplus(vd345,vd348))) = vplus(vd345,vd348), inference(resolution, [status(thm)], [d3,c17])). % 55.06/12.46 cnf(d5, plain, vplus(vd347,vplus(vd344,sK30(vplus(vd347,vd344),vplus(vd345,vd348)))) = vplus(vd345,vd348) | vplus(vd345,vd348) = vplus(vd347,vd344), inference(demodulation, [status(thm)], [d4,c23])). % 55.06/12.46 cnf(d6, plain, vplus(vd347,vplus(vplus(vd344,sK30(vplus(vd347,vd344),vplus(vd345,vd348))),X0)) = vplus(vplus(vd345,vd348),X0) | vplus(vd345,vd348) = vplus(vd347,vd344), inference(superposition, [status(thm)], [d5,c23])). % 55.06/12.46 cnf(d7, plain, vplus(vd345,vd348) = vplus(vd347,vd344) | vplus(vd347,vplus(vd344,vplus(sK30(vplus(vd347,vd344),vplus(vd345,vd348)),X0))) = vplus(vplus(vd345,vd348),X0), inference(demodulation, [status(thm)], [d6,c23])). % 55.06/12.46 cnf(d8, plain, vplus(vd345,vd348) = vplus(vd347,vd344) | vplus(vd347,vplus(vd344,vplus(sK30(vplus(vd347,vd344),vplus(vd345,vd348)),X0))) = vplus(vd345,vplus(vd348,X0)), inference(demodulation, [status(thm)], [d7,c23])). % 55.06/12.46 cnf(d9, plain, greater(vplus(vd345,vplus(vd348,X0)),vplus(vd347,vd344)) | vplus(vd345,vd348) = vplus(vd347,vd344), inference(superposition, [status(thm)], [d8,d0])). % 55.06/12.46 cnf(d10, plain, greater(vplus(vd347,vd345),vplus(vd345,vd348)), inference(demodulation, [status(thm)], [c1,c0])). % 55.06/12.46 cnf(d11, plain, greater(vplus(vd345,vd347),vplus(vd345,vd348)), inference(demodulation, [status(thm)], [d10,c2])). % 55.06/12.46 cnf(d12, plain, vplus(vplus(vd345,vd348),sK30(vplus(vd345,vd348),vplus(vd345,vd347))) = vplus(vd345,vd347), inference(resolution, [status(thm)], [d11,c17])). % 55.06/12.46 cnf(d13, plain, vplus(vd345,vplus(vd348,sK30(vplus(vd345,vd348),vplus(vd345,vd347)))) = vplus(vd345,vd347), inference(demodulation, [status(thm)], [d12,c23])). % 55.06/12.46 cnf(d14, plain, greater(vplus(vd345,vd347),vplus(vd347,vd344)) | vplus(vd345,vd348) = vplus(vd347,vd344), inference(superposition, [status(thm)], [d13,d9])). % 55.06/12.46 cnf(d15, plain, less(vplus(vd345,vd347),vplus(vd344,vd347)), inference(resolution, [status(thm)], [c3,c14])). % 55.06/12.46 cnf(d16, plain, less(vplus(vd345,vd347),vplus(vd347,vd344)), inference(demodulation, [status(thm)], [d15,c20])). % 55.06/12.46 cnf(d17, plain, ~greater(vplus(vd345,vd347),vplus(vd347,vd344)), inference(resolution, [status(thm)], [d16,c16])). % 55.06/12.46 cnf(d18, plain, vplus(vd345,vd348) = vplus(vd347,vd344), inference(resolution, [status(thm)], [d17,d14])). % 55.06/12.46 cnf(d19, plain, ~less(X0,X1) | ~greater(vplus(X0,X2),vplus(X1,X2)), inference(resolution, [status(thm)], [c9,c16])). % 55.06/12.46 cnf(d20, plain, greater(vplus(X0,X1),vplus(X2,X1)) | ~less(X2,X0), inference(resolution, [status(thm)], [c13,c9])). % 55.06/12.46 cnf(d21, plain, ~less(X0,X1) | ~less(X1,X0), inference(resolution, [status(thm)], [d20,d19])). % 55.06/12.46 cnf(d22, plain, ~less(vplus(vd347,vd344),vplus(vd345,vd347)), inference(resolution, [status(thm)], [d21,d16])). % 55.06/12.46 cnf(d23, plain, ~less(vplus(vd345,vd348),vplus(vd345,vd347)), inference(demodulation, [status(thm)], [d22,d18])). % 55.06/12.46 cnf(d24, plain, less(vplus(vd345,vd348),vplus(vd347,vd345)), inference(resolution, [status(thm)], [c14,d10])). % 55.06/12.46 cnf(d25, plain, less(vplus(vd345,vd348),vplus(vd345,vd347)), inference(demodulation, [status(thm)], [d24,c20])). % 55.06/12.46 cnf(d26, plain, $false, inference(resolution, [status(thm)], [d25,d23])). % 55.06/12.46 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------