%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM841+1 : 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 : n010.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 14.80s 2.22s % Output : CNFRefutation 14.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM841+1 : 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 : n010.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 04:12:45 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 14.80/2.22 % SZS status Theorem for theBenchmark.p % 14.80/2.22 % SZS output start CNFRefutation for theBenchmark.p % 14.80/2.22 fof(holds(213, 351, 2), axiom, vplus(vd348,vd345) = vplus(vd345,vd348)). % 14.80/2.22 fof(holds(213, 351, 1), axiom, greater(vplus(vd347,vd345),vplus(vd348,vd345))). % 14.80/2.22 fof(holds(213, 351, 0), axiom, vplus(vd345,vd347) = vplus(vd347,vd345)). % 14.80/2.22 fof(holds(212, 350, 0), axiom, greater(vplus(vd344,vd347),vplus(vd345,vd347))). % 14.80/2.22 fof(ass(cond(goal(177), 0), 0), axiom, ! [X0] : ! [X1] : ! [X2] : ((((less(X1,X2) & leq(X0,X1)) | (leq(X1,X2) & less(X0,X1))) => less(X0,X2)))). % 14.80/2.22 fof(def(cond(conseq(axiom(3)), 17), 1), axiom, ! [X0] : ! [X1] : ((leq(X1,X0) <=> (less(X1,X0) | X1 = X0)))). % 14.80/2.22 fof(ass(cond(140, 0), 0), axiom, ! [X0] : ! [X1] : ((greater(X0,X1) => less(X1,X0)))). % 14.80/2.22 fof(ass(cond(goal(130), 0), 0), axiom, ! [X0] : ! [X1] : ((X0 = X1 | (greater(X0,X1) | less(X0,X1))))). % 14.80/2.22 fof(ass(cond(goal(130), 0), 2), axiom, ! [X0] : ! [X1] : ((~greater(X0,X1) | ~less(X0,X1)))). % 14.80/2.22 fof(ass(cond(61, 0), 0), axiom, ! [X0] : ! [X1] : vplus(X1,X0) = vplus(X0,X1)). % 14.80/2.22 fof(holds(214, 352, 0), conjecture, greater(vplus(vd344,vd347),vplus(vd345,vd348))). % 14.80/2.22 fof(negated_conjecture, negated_conjecture, ~greater(vplus(vd344,vd347),vplus(vd345,vd348)), inference(negate_conjecture, [status(cth)], [holds(214, 352, 0)])). % 14.80/2.22 cnf(c0, plain, vplus(vd348,vd345) = vplus(vd345,vd348), inference(clausification, [status(esa)], [holds(213, 351, 2)])). % 14.80/2.22 cnf(c1, plain, greater(vplus(vd347,vd345),vplus(vd348,vd345)), inference(clausification, [status(esa)], [holds(213, 351, 1)])). % 14.80/2.22 cnf(c2, plain, vplus(vd345,vd347) = vplus(vd347,vd345), inference(clausification, [status(esa)], [holds(213, 351, 0)])). % 14.80/2.22 cnf(c3, plain, greater(vplus(vd344,vd347),vplus(vd345,vd347)), inference(clausification, [status(esa)], [holds(212, 350, 0)])). % 14.80/2.22 cnf(c15, plain, ~leq(X0,X1) | ~less(X2,X0) | less(X2,X1), inference(clausification, [status(esa)], [ass(cond(goal(177), 0), 0)])). % 14.80/2.22 cnf(c20, plain, leq(X0,X1) | ~less(X0,X1), inference(clausification, [status(esa)], [def(cond(conseq(axiom(3)), 17), 1)])). % 14.80/2.22 cnf(c26, plain, ~greater(X0,X1) | less(X1,X0), inference(clausification, [status(esa)], [ass(cond(140, 0), 0)])). % 14.80/2.22 cnf(c27, plain, X0 = X1 | greater(X0,X1) | less(X0,X1), inference(clausification, [status(esa)], [ass(cond(goal(130), 0), 0)])). % 14.80/2.22 cnf(c29, plain, ~greater(X0,X1) | ~less(X0,X1), inference(clausification, [status(esa)], [ass(cond(goal(130), 0), 2)])). % 14.80/2.22 cnf(c41, plain, vplus(X0,X1) = vplus(X1,X0), inference(clausification, [status(esa)], [ass(cond(61, 0), 0)])). % 14.80/2.22 cnf(c52, plain, ~greater(vplus(vd344,vd347),vplus(vd345,vd348)), inference(clausification, [status(esa)], [negated_conjecture])). % 14.80/2.22 cnf(d0, plain, vplus(vd344,vd347) = vplus(vd345,vd348) | less(vplus(vd344,vd347),vplus(vd345,vd348)), inference(resolution, [status(thm)], [c27,c52])). % 14.80/2.22 cnf(d1, plain, vplus(vd344,vd347) = vplus(vd345,vd348) | leq(vplus(vd344,vd347),vplus(vd345,vd348)), inference(resolution, [status(thm)], [d0,c20])). % 14.80/2.22 cnf(d2, plain, vplus(vd344,vd347) = vplus(vd345,vd348) | less(X0,vplus(vd345,vd348)) | ~less(X0,vplus(vd344,vd347)), inference(resolution, [status(thm)], [d1,c15])). % 14.80/2.22 cnf(d3, plain, vplus(vd347,vd344) = vplus(vd345,vd348) | less(X0,vplus(vd345,vd348)) | ~less(X0,vplus(vd344,vd347)), inference(demodulation, [status(thm)], [d2,c41])). % 14.80/2.22 cnf(d4, plain, vplus(vd347,vd344) = vplus(vd345,vd348) | less(X0,vplus(vd345,vd348)) | ~less(X0,vplus(vd347,vd344)), inference(demodulation, [status(thm)], [d3,c41])). % 14.80/2.22 cnf(d5, plain, less(vplus(vd345,vd347),vplus(vd344,vd347)), inference(resolution, [status(thm)], [c26,c3])). % 14.80/2.22 cnf(d6, plain, less(vplus(vd345,vd347),vplus(vd347,vd344)), inference(demodulation, [status(thm)], [d5,c41])). % 14.80/2.22 cnf(d7, plain, vplus(vd347,vd344) = vplus(vd345,vd348) | less(vplus(vd345,vd347),vplus(vd345,vd348)), inference(resolution, [status(thm)], [d6,d4])). % 14.80/2.22 cnf(d8, plain, vplus(vd347,vd344) = vplus(vd345,vd348) | ~greater(vplus(vd345,vd347),vplus(vd345,vd348)), inference(resolution, [status(thm)], [d7,c29])). % 14.80/2.22 cnf(d9, plain, greater(vplus(vd347,vd345),vplus(vd345,vd348)), inference(demodulation, [status(thm)], [c1,c0])). % 14.80/2.22 cnf(d10, plain, greater(vplus(vd345,vd347),vplus(vd345,vd348)), inference(demodulation, [status(thm)], [d9,c2])). % 14.80/2.22 cnf(d11, plain, vplus(vd347,vd344) = vplus(vd345,vd348), inference(resolution, [status(thm)], [d10,d8])). % 14.80/2.22 cnf(d12, plain, less(vplus(vd345,vd347),vplus(vd345,vd348)), inference(demodulation, [status(thm)], [d6,d11])). % 14.80/2.22 cnf(d13, plain, ~greater(vplus(vd345,vd347),vplus(vd345,vd348)), inference(resolution, [status(thm)], [d12,c29])). % 14.80/2.22 cnf(d14, plain, $false, inference(resolution, [status(thm)], [d10,d13])). % 14.80/2.22 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------