%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM855+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 : 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 08:13:59 AM UTC 2026 % Result : Theorem 9.26s 5.37s % Output : CNFRefutation 9.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM855+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 % 0.08/0.35 % Computer : n020.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sat Sep 26 04:14:19 UTC 2026 % 0.08/0.36 % CPUTime : % 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 9.26/5.37 % SZS status Theorem for theBenchmark.p % 9.26/5.37 % SZS output start CNFRefutation for theBenchmark.p % 9.26/5.37 fof(holds(conjunct2(315), 515, 2), axiom, vmul(vd512,vd509) = vmul(vd509,vd512)). % 9.26/5.37 fof(holds(conjunct2(315), 515, 1), axiom, greater(vmul(vd511,vd509),vmul(vd512,vd509))). % 9.26/5.37 fof(holds(conjunct2(315), 515, 0), axiom, vmul(vd509,vd511) = vmul(vd511,vd509)). % 9.26/5.37 fof(holds(conjunct1(315), 514, 0), axiom, greater(vmul(vd508,vd511),vmul(vd509,vd511))). % 9.26/5.37 fof(holds(conjunct2(314), 513, 0), axiom, greater(vd511,vd512)). % 9.26/5.37 fof(holds(conjunct1(314), 510, 0), axiom, greater(vd508,vd509)). % 9.26/5.37 fof(ass(cond(conjunct2(conjunct2(307)), 0), 0), axiom, ! [X0] : ! [X1] : ! [X2] : ((less(vmul(X0,X1),vmul(X2,X1)) => less(X0,X2)))). % 9.26/5.37 fof(ass(cond(299, 0), 0), axiom, ! [X0] : ! [X1] : ! [X2] : ((less(X1,X2) => less(vmul(X1,X0),vmul(X2,X0))))). % 9.26/5.37 fof(ass(cond(270, 0), 0), axiom, ! [X0] : ! [X1] : vmul(X0,X1) = vmul(X1,X0)). % 9.26/5.37 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)))). % 9.26/5.37 fof(ass(cond(168, 0), 0), axiom, ! [X0] : ! [X1] : ! [X2] : (((less(X1,X2) & less(X0,X1)) => less(X0,X2)))). % 9.26/5.37 fof(ass(cond(158, 0), 0), axiom, ! [X0] : ! [X1] : ((geq(X0,X1) => leq(X1,X0)))). % 9.26/5.37 fof(def(cond(conseq(axiom(3)), 16), 1), axiom, ! [X0] : ! [X1] : ((geq(X1,X0) <=> (greater(X1,X0) | X1 = X0)))). % 9.26/5.37 fof(ass(cond(147, 0), 0), axiom, ! [X0] : ! [X1] : ((less(X0,X1) => greater(X1,X0)))). % 9.26/5.37 fof(ass(cond(140, 0), 0), axiom, ! [X0] : ! [X1] : ((greater(X0,X1) => less(X1,X0)))). % 9.26/5.37 fof(ass(cond(goal(130), 0), 0), axiom, ! [X0] : ! [X1] : ((X0 = X1 | (greater(X0,X1) | less(X0,X1))))). % 9.26/5.37 fof(ass(cond(goal(130), 0), 1), axiom, ! [X0] : ! [X1] : ((X0 != X1 | ~less(X0,X1)))). % 9.26/5.37 fof(ass(cond(goal(130), 0), 2), axiom, ! [X0] : ! [X1] : ((~greater(X0,X1) | ~less(X0,X1)))). % 9.26/5.37 fof(holds(conseq_conjunct2(315), 516, 0), conjecture, greater(vmul(vd508,vd511),vmul(vd509,vd512))). % 9.26/5.37 fof(negated_conjecture, negated_conjecture, ~greater(vmul(vd508,vd511),vmul(vd509,vd512)), inference(negate_conjecture, [status(cth)], [holds(conseq_conjunct2(315), 516, 0)])). % 9.26/5.37 cnf(c0, plain, vmul(vd512,vd509) = vmul(vd509,vd512), inference(clausification, [status(esa)], [holds(conjunct2(315), 515, 2)])). % 9.26/5.37 cnf(c1, plain, greater(vmul(vd511,vd509),vmul(vd512,vd509)), inference(clausification, [status(esa)], [holds(conjunct2(315), 515, 1)])). % 9.26/5.37 cnf(c2, plain, vmul(vd509,vd511) = vmul(vd511,vd509), inference(clausification, [status(esa)], [holds(conjunct2(315), 515, 0)])). % 9.26/5.37 cnf(c3, plain, greater(vmul(vd508,vd511),vmul(vd509,vd511)), inference(clausification, [status(esa)], [holds(conjunct1(315), 514, 0)])). % 9.26/5.37 cnf(c4, plain, greater(vd511,vd512), inference(clausification, [status(esa)], [holds(conjunct2(314), 513, 0)])). % 9.26/5.37 cnf(c5, plain, greater(vd508,vd509), inference(clausification, [status(esa)], [holds(conjunct1(314), 510, 0)])). % 9.26/5.37 cnf(c6, plain, ~less(vmul(X0,X1),vmul(X2,X1)) | less(X0,X2), inference(clausification, [status(esa)], [ass(cond(conjunct2(conjunct2(307)), 0), 0)])). % 9.26/5.37 cnf(c9, plain, ~less(X0,X1) | less(vmul(X0,X2),vmul(X1,X2)), inference(clausification, [status(esa)], [ass(cond(299, 0), 0)])). % 9.26/5.37 cnf(c14, plain, vmul(X0,X1) = vmul(X1,X0), inference(clausification, [status(esa)], [ass(cond(270, 0), 0)])). % 9.26/5.37 cnf(c34, plain, ~less(X0,X1) | ~leq(X2,X0) | less(X2,X1), inference(clausification, [status(esa)], [ass(cond(goal(177), 0), 0)])). % 9.26/5.37 cnf(c36, plain, ~less(X0,X1) | ~less(X2,X0) | less(X2,X1), inference(clausification, [status(esa)], [ass(cond(168, 0), 0)])). % 9.26/5.37 cnf(c38, plain, ~geq(X0,X1) | leq(X1,X0), inference(clausification, [status(esa)], [ass(cond(158, 0), 0)])). % 9.26/5.37 cnf(c43, plain, geq(X0,X1) | ~greater(X0,X1), inference(clausification, [status(esa)], [def(cond(conseq(axiom(3)), 16), 1)])). % 9.26/5.37 cnf(c45, plain, ~less(X0,X1) | greater(X1,X0), inference(clausification, [status(esa)], [ass(cond(147, 0), 0)])). % 9.26/5.37 cnf(c46, plain, ~greater(X0,X1) | less(X1,X0), inference(clausification, [status(esa)], [ass(cond(140, 0), 0)])). % 9.26/5.37 cnf(c47, plain, X0 = X1 | greater(X0,X1) | less(X0,X1), inference(clausification, [status(esa)], [ass(cond(goal(130), 0), 0)])). % 9.26/5.37 cnf(c48, plain, X0 != X1 | ~less(X0,X1), inference(clausification, [status(esa)], [ass(cond(goal(130), 0), 1)])). % 9.26/5.37 cnf(c49, plain, ~greater(X0,X1) | ~less(X0,X1), inference(clausification, [status(esa)], [ass(cond(goal(130), 0), 2)])). % 9.26/5.37 cnf(c72, plain, ~greater(vmul(vd508,vd511),vmul(vd509,vd512)), inference(clausification, [status(esa)], [negated_conjecture])). % 9.26/5.37 cnf(d0, plain, geq(vd511,vd512), inference(resolution, [status(thm)], [c43,c4])). % 9.26/5.37 cnf(d1, plain, leq(vd512,vd511), inference(resolution, [status(thm)], [d0,c38])). % 9.26/5.37 cnf(d2, plain, less(vd512,X0) | ~less(vd511,X0), inference(resolution, [status(thm)], [d1,c34])). % 9.26/5.37 cnf(d3, plain, ~less(vmul(X2,X1),vmul(X1,X0)) | less(X2,X0), inference(superposition, [status(thm)], [c14,c6])). % 9.26/5.37 cnf(d4, plain, less(X0,vmul(X1,X2)) | ~less(X0,vmul(X3,X2)) | ~less(X3,X1), inference(resolution, [status(thm)], [c36,c9])). % 9.26/5.37 cnf(d5, plain, ~greater(vmul(vd511,vd508),vmul(vd509,vd512)), inference(demodulation, [status(thm)], [c72,c14])). % 9.26/5.37 cnf(d6, plain, X0 = X1 | greater(X0,X1) | greater(X1,X0), inference(resolution, [status(thm)], [c47,c45])). % 9.26/5.37 cnf(d7, plain, vmul(vd509,vd512) = vmul(vd511,vd508) | greater(vmul(vd509,vd512),vmul(vd511,vd508)), inference(resolution, [status(thm)], [d6,d5])). % 9.26/5.37 cnf(d8, plain, vmul(vd509,vd512) = vmul(vd511,vd508) | less(vmul(vd511,vd508),vmul(vd509,vd512)), inference(resolution, [status(thm)], [d7,c46])). % 9.26/5.37 cnf(d9, plain, vmul(vd509,vd512) = vmul(vd511,vd508) | ~less(vd509,X0) | less(vmul(vd511,vd508),vmul(X0,vd512)), inference(resolution, [status(thm)], [d8,d4])). % 9.26/5.37 cnf(d10, plain, vmul(vd509,vd512) = vmul(vd511,vd508) | ~less(vd509,vd508) | less(vd511,vd512), inference(resolution, [status(thm)], [d9,d3])). % 9.26/5.37 cnf(d11, plain, less(vd509,vd508), inference(resolution, [status(thm)], [c46,c5])). % 9.26/5.37 cnf(d12, plain, vmul(vd509,vd512) = vmul(vd511,vd508) | less(vd511,vd512), inference(resolution, [status(thm)], [d11,d10])). % 9.26/5.37 cnf(d13, plain, vmul(vd509,vd512) = vmul(vd511,vd508) | less(vd512,vd512), inference(resolution, [status(thm)], [d12,d2])). % 9.26/5.37 cnf(d14, plain, ~less(X0,X0), inference(equality_resolution, [status(thm)], [c48])). % 9.26/5.37 cnf(d15, plain, vmul(vd509,vd512) = vmul(vd511,vd508), inference(resolution, [status(thm)], [d14,d13])). % 9.26/5.37 cnf(d16, plain, greater(vmul(vd511,vd508),vmul(vd509,vd511)), inference(demodulation, [status(thm)], [c3,c14])). % 9.26/5.37 cnf(d17, plain, greater(vmul(vd509,vd512),vmul(vd509,vd511)), inference(demodulation, [status(thm)], [d16,d15])). % 9.26/5.37 cnf(d18, plain, less(vmul(vd509,vd511),vmul(vd509,vd512)), inference(resolution, [status(thm)], [d17,c46])). % 9.26/5.37 cnf(d19, plain, ~greater(vmul(vd509,vd511),vmul(vd509,vd512)), inference(resolution, [status(thm)], [d18,c49])). % 9.26/5.37 cnf(d20, plain, greater(vmul(vd511,vd509),vmul(vd509,vd512)), inference(demodulation, [status(thm)], [c1,c0])). % 9.26/5.37 cnf(d21, plain, greater(vmul(vd509,vd511),vmul(vd509,vd512)), inference(demodulation, [status(thm)], [d20,c2])). % 9.26/5.37 cnf(d22, plain, $false, inference(resolution, [status(thm)], [d21,d19])). % 9.26/5.37 % SZS output end CNFRefutation for theBenchmark.p 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