%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM842+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 : n003.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 14.46s 5.39s % Output : CNFRefutation 14.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : NUM842+2 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.18/0.44 % Computer : n003.cluster.edu % 0.18/0.44 % Model : x86_64 x86_64 % 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.44 % Memory : 8046.5625MB % 0.18/0.44 % OS : Linux 6.8.0-71-generic % 0.18/0.44 % CPULimit : 300 % 0.18/0.44 % WCLimit : 300 % 0.18/0.44 % DateTime : Sat Sep 26 04:14:09 UTC 2026 % 0.18/0.45 % CPUTime : % 0.18/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 14.46/5.39 % SZS status Theorem for theBenchmark.p % 14.46/5.39 % SZS output start CNFRefutation for theBenchmark.p % 14.46/5.39 fof(dis(antec(218)), axiom, ((greater(vd355,vd356) & geq(vd353,vd354)) | (geq(vd355,vd356) & greater(vd353,vd354)))). % 14.46/5.39 fof(ass(cond(209, 0), 0), axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((greater(X2,X3) & greater(X0,X1)) => greater(vplus(X0,X2),vplus(X1,X3))))). % 14.46/5.39 fof(ass(cond(goal(193), 0), 2), axiom, ! [X0] : ! [X1] : ! [X2] : ((greater(X0,X1) => greater(vplus(X0,X2),vplus(X1,X2))))). % 14.46/5.39 fof(ass(cond(189, 0), 0), axiom, ! [X0] : ! [X1] : greater(vplus(X0,X1),X0)). % 14.46/5.39 fof(def(cond(conseq(axiom(3)), 16), 1), axiom, ! [X0] : ! [X1] : ((geq(X1,X0) <=> (greater(X1,X0) | X1 = X0)))). % 14.46/5.39 fof(ass(cond(goal(130), 0), 3), axiom, ! [X0] : ! [X1] : ((X0 != X1 | ~greater(X0,X1)))). % 14.46/5.39 fof(def(cond(conseq(axiom(3)), 11), 1), axiom, ! [X0] : ! [X1] : ((greater(X1,X0) <=> ? [X2] : X1 = vplus(X0,X2)))). % 14.46/5.39 fof(ass(cond(61, 0), 0), axiom, ! [X0] : ! [X1] : vplus(X1,X0) = vplus(X0,X1)). % 14.46/5.39 fof(ass(cond(33, 0), 0), axiom, ! [X0] : ! [X1] : ! [X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2))). % 14.46/5.39 fof(holds(conseq(218), 361, 0), conjecture, greater(vplus(vd353,vd355),vplus(vd354,vd356))). % 14.46/5.39 fof(negated_conjecture, negated_conjecture, ~greater(vplus(vd353,vd355),vplus(vd354,vd356)), inference(negate_conjecture, [status(cth)], [holds(conseq(218), 361, 0)])). % 14.46/5.39 cnf(c0, plain, greater(vd355,vd356) | geq(vd355,vd356), inference(clausification, [status(esa)], [dis(antec(218))])). % 14.46/5.39 cnf(c1, plain, greater(vd355,vd356) | greater(vd353,vd354), inference(clausification, [status(esa)], [dis(antec(218))])). % 14.46/5.39 cnf(c3, plain, geq(vd353,vd354) | greater(vd353,vd354), inference(clausification, [status(esa)], [dis(antec(218))])). % 14.46/5.39 cnf(c4, plain, ~greater(X0,X1) | ~greater(X2,X3) | greater(vplus(X2,X0),vplus(X3,X1)), inference(clausification, [status(esa)], [ass(cond(209, 0), 0)])). % 14.46/5.39 cnf(c10, plain, ~greater(X0,X1) | greater(vplus(X0,X2),vplus(X1,X2)), inference(clausification, [status(esa)], [ass(cond(goal(193), 0), 2)])). % 14.46/5.39 cnf(c11, plain, greater(vplus(X0,X1),X0), inference(clausification, [status(esa)], [ass(cond(189, 0), 0)])). % 14.46/5.39 cnf(c21, plain, ~geq(X0,X1) | greater(X0,X1) | X0 = X1, inference(clausification, [status(esa)], [def(cond(conseq(axiom(3)), 16), 1)])). % 14.46/5.39 cnf(c29, plain, X0 != X1 | ~greater(X0,X1), inference(clausification, [status(esa)], [ass(cond(goal(130), 0), 3)])). % 14.46/5.39 cnf(c32, plain, ~greater(X0,X1) | X0 = vplus(X1,sK59(X1,X0)), inference(clausification, [status(esa)], [def(cond(conseq(axiom(3)), 11), 1)])). % 14.46/5.39 cnf(c40, plain, vplus(X0,X1) = vplus(X1,X0), inference(clausification, [status(esa)], [ass(cond(61, 0), 0)])). % 14.46/5.39 cnf(c43, plain, vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)), inference(clausification, [status(esa)], [ass(cond(33, 0), 0)])). % 14.46/5.39 cnf(c51, plain, ~greater(vplus(vd353,vd355),vplus(vd354,vd356)), inference(clausification, [status(esa)], [negated_conjecture])). % 14.46/5.39 cnf(d0, plain, vd355 = vd356 | greater(vd355,vd356) | greater(vd355,vd356), inference(resolution, [status(thm)], [c21,c0])). % 14.46/5.39 cnf(d1, plain, ~greater(vplus(vd355,vd353),vplus(vd354,vd356)), inference(demodulation, [status(thm)], [c51,c40])). % 14.46/5.39 cnf(d2, plain, ~greater(vplus(vd355,vd353),vplus(vd356,vd354)), inference(demodulation, [status(thm)], [d1,c40])). % 14.46/5.39 cnf(d3, plain, ~greater(vd353,vd354) | ~greater(vd355,vd356), inference(resolution, [status(thm)], [c4,c51])). % 14.46/5.39 cnf(d4, plain, vd353 = vd354 | greater(vd353,vd354) | greater(vd353,vd354), inference(resolution, [status(thm)], [c21,c3])). % 14.46/5.39 cnf(d5, plain, vd353 = vd354 | ~greater(vd355,vd356), inference(resolution, [status(thm)], [d4,d3])). % 14.46/5.39 cnf(d6, plain, vd353 = vd354 | vd355 = vd356, inference(resolution, [status(thm)], [d5,d0])). % 14.46/5.39 cnf(d7, plain, ~greater(vplus(vd355,vd353),vplus(vd356,vd353)) | vd355 = vd356, inference(superposition, [status(thm)], [d6,d2])). % 14.46/5.39 cnf(d8, plain, vd355 = vd356 | ~greater(vd355,vd356), inference(resolution, [status(thm)], [d7,c10])). % 14.46/5.39 cnf(d9, plain, vd355 = vd356 | vd355 = vd356, inference(resolution, [status(thm)], [d8,d0])). % 14.46/5.39 cnf(d10, plain, ~greater(vplus(vd355,vd353),vplus(vd355,vd354)), inference(demodulation, [status(thm)], [d2,d9])). % 14.46/5.39 cnf(d11, plain, greater(vplus(X0,vplus(X1,X2)),vplus(X0,X1)), inference(superposition, [status(thm)], [c43,c11])). % 14.46/5.39 cnf(d12, plain, greater(vd355,vd355) | greater(vd353,vd354), inference(demodulation, [status(thm)], [c1,d9])). % 14.46/5.39 cnf(d13, plain, ~greater(X0,X0), inference(equality_resolution, [status(thm)], [c29])). % 14.46/5.39 cnf(d14, plain, greater(vd353,vd354), inference(resolution, [status(thm)], [d13,d12])). % 14.46/5.39 cnf(d15, plain, vd353 = vplus(vd354,sK59(vd354,vd353)), inference(resolution, [status(thm)], [d14,c32])). % 14.46/5.39 cnf(d16, plain, greater(vplus(X0,vd353),vplus(X0,vd354)), inference(superposition, [status(thm)], [d15,d11])). % 14.46/5.39 cnf(d17, plain, $false, inference(resolution, [status(thm)], [d16,d10])). % 14.46/5.39 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------