%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM840+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 : 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 08:13:55 AM UTC 2026 % Result : Theorem 13.93s 4.36s % Output : CNFRefutation 13.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM840+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 : 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 04:13:19 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 13.93/4.36 % SZS status Theorem for theBenchmark.p % 13.93/4.36 % SZS output start CNFRefutation for theBenchmark.p % 13.93/4.36 fof(holds(antec(conjunct2(conjunct2(204))), 335, 0), axiom, less(vplus(vd328,vd330),vplus(vd329,vd330))). % 13.93/4.36 fof(ass(cond(147, 0), 0), axiom, ! [X0] : ! [X1] : ((less(X0,X1) => greater(X1,X0)))). % 13.93/4.36 fof(ass(cond(140, 0), 0), axiom, ! [X0] : ! [X1] : ((greater(X0,X1) => less(X1,X0)))). % 13.93/4.36 fof(ass(cond(goal(130), 0), 0), axiom, ! [X0] : ! [X1] : ((X0 = X1 | (greater(X0,X1) | less(X0,X1))))). % 13.93/4.36 fof(ass(cond(goal(130), 0), 1), axiom, ! [X0] : ! [X1] : ((X0 != X1 | ~less(X0,X1)))). % 13.93/4.36 fof(ass(cond(goal(130), 0), 2), axiom, ! [X0] : ! [X1] : ((~greater(X0,X1) | ~less(X0,X1)))). % 13.93/4.36 fof(def(cond(conseq(axiom(3)), 12), 1), axiom, ! [X0] : ! [X1] : ((less(X1,X0) <=> ? [X2] : X0 = vplus(X1,X2)))). % 13.93/4.36 fof(def(cond(conseq(axiom(3)), 11), 1), axiom, ! [X0] : ! [X1] : ((greater(X1,X0) <=> ? [X2] : X1 = vplus(X0,X2)))). % 13.93/4.36 fof(ass(cond(61, 0), 0), axiom, ! [X0] : ! [X1] : vplus(X1,X0) = vplus(X0,X1)). % 13.93/4.36 fof(ass(cond(33, 0), 0), axiom, ! [X0] : ! [X1] : ! [X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2))). % 13.93/4.36 fof(holds(conseq(conjunct2(conjunct2(204))), 336, 0), conjecture, less(vd328,vd329)). % 13.93/4.36 fof(negated_conjecture, negated_conjecture, ~less(vd328,vd329), inference(negate_conjecture, [status(cth)], [holds(conseq(conjunct2(conjunct2(204))), 336, 0)])). % 13.93/4.36 cnf(c0, plain, less(vplus(vd328,vd330),vplus(vd329,vd330)), inference(clausification, [status(esa)], [holds(antec(conjunct2(conjunct2(204))), 335, 0)])). % 13.93/4.36 cnf(c6, plain, ~less(X0,X1) | greater(X1,X0), inference(clausification, [status(esa)], [ass(cond(147, 0), 0)])). % 13.93/4.36 cnf(c7, plain, ~greater(X0,X1) | less(X1,X0), inference(clausification, [status(esa)], [ass(cond(140, 0), 0)])). % 13.93/4.36 cnf(c8, plain, X0 = X1 | greater(X0,X1) | less(X0,X1), inference(clausification, [status(esa)], [ass(cond(goal(130), 0), 0)])). % 13.93/4.36 cnf(c9, plain, X0 != X1 | ~less(X0,X1), inference(clausification, [status(esa)], [ass(cond(goal(130), 0), 1)])). % 13.93/4.36 cnf(c10, plain, ~greater(X0,X1) | ~less(X0,X1), inference(clausification, [status(esa)], [ass(cond(goal(130), 0), 2)])). % 13.93/4.36 cnf(c13, plain, less(X0,X1) | X1 != vplus(X0,X2), inference(clausification, [status(esa)], [def(cond(conseq(axiom(3)), 12), 1)])). % 13.93/4.36 cnf(c14, plain, ~greater(X0,X1) | X0 = vplus(X1,sK27(X1,X0)), inference(clausification, [status(esa)], [def(cond(conseq(axiom(3)), 11), 1)])). % 13.93/4.36 cnf(c22, plain, vplus(X0,X1) = vplus(X1,X0), inference(clausification, [status(esa)], [ass(cond(61, 0), 0)])). % 13.93/4.36 cnf(c25, plain, vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)), inference(clausification, [status(esa)], [ass(cond(33, 0), 0)])). % 13.93/4.36 cnf(c28, plain, ~less(vd328,vd329), inference(clausification, [status(esa)], [negated_conjecture])). % 13.93/4.36 cnf(d0, plain, greater(vplus(vd329,vd330),vplus(vd328,vd330)), inference(resolution, [status(thm)], [c6,c0])). % 13.93/4.36 cnf(d1, plain, greater(vplus(vd330,vd329),vplus(vd328,vd330)), inference(demodulation, [status(thm)], [d0,c22])). % 13.93/4.36 cnf(d2, plain, ~less(vplus(vd330,vd329),vplus(vd328,vd330)), inference(resolution, [status(thm)], [d1,c10])). % 13.93/4.36 cnf(d3, plain, less(X0,vplus(X0,X1)), inference(equality_resolution, [status(thm)], [c13])). % 13.93/4.36 cnf(d4, plain, less(vplus(X0,X1),vplus(X0,vplus(X1,X2))), inference(superposition, [status(thm)], [c25,d3])). % 13.93/4.36 cnf(d5, plain, X0 = X1 | less(X0,X1) | less(X1,X0), inference(resolution, [status(thm)], [c8,c7])). % 13.93/4.36 cnf(d6, plain, vd329 = vd328 | less(vd329,vd328), inference(resolution, [status(thm)], [d5,c28])). % 13.93/4.36 cnf(d7, plain, vd329 = vd328 | greater(vd328,vd329), inference(resolution, [status(thm)], [d6,c6])). % 13.93/4.36 cnf(d8, plain, vd329 = vd328 | vd328 = vplus(vd329,sK27(vd329,vd328)), inference(resolution, [status(thm)], [d7,c14])). % 13.93/4.36 cnf(d9, plain, less(vplus(X0,vd329),vplus(X0,vd328)) | vd329 = vd328, inference(superposition, [status(thm)], [d8,d4])). % 13.93/4.36 cnf(d10, plain, less(vplus(X0,vd329),vplus(vd328,X0)) | vd329 = vd328, inference(superposition, [status(thm)], [c22,d9])). % 13.93/4.36 cnf(d11, plain, vd329 = vd328, inference(resolution, [status(thm)], [d10,d2])). % 13.93/4.36 cnf(d12, plain, less(vplus(vd328,vd330),vplus(vd330,vd329)), inference(demodulation, [status(thm)], [c0,c22])). % 13.93/4.36 cnf(d13, plain, less(vplus(vd328,vd330),vplus(vd330,vd328)), inference(demodulation, [status(thm)], [d12,d11])). % 13.93/4.36 cnf(d14, plain, less(vplus(vd328,vd330),vplus(vd328,vd330)), inference(demodulation, [status(thm)], [d13,c22])). % 13.93/4.36 cnf(d15, plain, ~less(X0,X0), inference(equality_resolution, [status(thm)], [c9])). % 13.93/4.36 cnf(d16, plain, $false, inference(resolution, [status(thm)], [d15,d14])). % 13.93/4.36 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------