%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM847+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 : n001.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 08:13:57 AM UTC 2026 % Result : Theorem 23.61s 5.66s % Output : CNFRefutation 23.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : NUM847+1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.16/0.42 % Computer : n001.cluster.edu % 0.16/0.42 % Model : x86_64 x86_64 % 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.42 % Memory : 8046.5625MB % 0.16/0.42 % OS : Linux 6.8.0-71-generic % 0.16/0.42 % CPULimit : 300 % 0.16/0.42 % WCLimit : 300 % 0.16/0.42 % DateTime : Sat Sep 26 04:18:42 UTC 2026 % 0.16/0.43 % CPUTime : % 0.16/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 23.61/5.66 % SZS status Theorem for theBenchmark.p % 23.61/5.66 % SZS output start CNFRefutation for theBenchmark.p % 23.61/5.66 fof(holds(286, 441, 2), axiom, vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436)). % 23.61/5.66 fof(holds(286, 441, 1), axiom, vmul(vd436,vsucc(vplus(vd437,vd439))) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436)). % 23.61/5.66 fof(holds(286, 441, 0), axiom, vmul(vd436,vplus(vd437,vsucc(vd439))) = vmul(vd436,vsucc(vplus(vd437,vd439)))). % 23.61/5.66 fof(ass(cond(270, 0), 0), axiom, ! [X0] : ! [X1] : vmul(X0,X1) = vmul(X1,X0)). % 23.61/5.66 fof(ass(cond(261, 0), 0), axiom, ! [X0] : ! [X1] : vmul(vsucc(X0),X1) = vplus(vmul(X0,X1),X1)). % 23.61/5.66 fof(qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0))), axiom, ! [X0] : ! [X1] : ((vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0) & vmul(X0,v1) = X0))). % 23.61/5.66 fof(ass(cond(61, 0), 0), axiom, ! [X0] : ! [X1] : vplus(X1,X0) = vplus(X0,X1)). % 23.61/5.66 fof(ass(cond(33, 0), 0), axiom, ! [X0] : ! [X1] : ! [X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2))). % 23.61/5.66 fof(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0))), axiom, ! [X0] : ! [X1] : ((vplus(X0,vsucc(X1)) = vsucc(vplus(X0,X1)) & vplus(X0,v1) = vsucc(X0)))). % 23.61/5.66 fof(holds(286, 441, 3), conjecture, vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) = vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436))). % 23.61/5.66 fof(negated_conjecture, negated_conjecture, vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) != vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)), inference(negate_conjecture, [status(cth)], [holds(286, 441, 3)])). % 23.61/5.66 cnf(c0, plain, vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436), inference(clausification, [status(esa)], [holds(286, 441, 2)])). % 23.61/5.66 cnf(c1, plain, vmul(vd436,vsucc(vplus(vd437,vd439))) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436), inference(clausification, [status(esa)], [holds(286, 441, 1)])). % 23.61/5.66 cnf(c2, plain, vmul(vd436,vplus(vd437,vsucc(vd439))) = vmul(vd436,vsucc(vplus(vd437,vd439))), inference(clausification, [status(esa)], [holds(286, 441, 0)])). % 23.61/5.66 cnf(c7, plain, vmul(X0,X1) = vmul(X1,X0), inference(clausification, [status(esa)], [ass(cond(270, 0), 0)])). % 23.61/5.66 cnf(c8, plain, vmul(vsucc(X0),X1) = vplus(vmul(X0,X1),X1), inference(clausification, [status(esa)], [ass(cond(261, 0), 0)])). % 23.61/5.66 cnf(c10, plain, vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0), inference(clausification, [status(esa)], [qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))])). % 23.61/5.66 cnf(c54, plain, vplus(X0,X1) = vplus(X1,X0), inference(clausification, [status(esa)], [ass(cond(61, 0), 0)])). % 23.61/5.66 cnf(c57, plain, vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)), inference(clausification, [status(esa)], [ass(cond(33, 0), 0)])). % 23.61/5.66 cnf(c58, plain, vplus(X0,vsucc(X1)) = vsucc(vplus(X0,X1)), inference(clausification, [status(esa)], [qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))])). % 23.61/5.66 cnf(c65, plain, vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) != vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)), inference(clausification, [status(esa)], [negated_conjecture])). % 23.61/5.66 cnf(d0, plain, vmul(vsucc(X0),X1) = vplus(vmul(X1,X0),X1), inference(superposition, [status(thm)], [c7,c8])). % 23.61/5.66 cnf(d1, plain, vmul(vsucc(X1),X0) = vplus(X0,vmul(X0,X1)), inference(demodulation, [status(thm)], [d0,c54])). % 23.61/5.66 cnf(d2, plain, vmul(vd436,vsucc(vplus(vd437,vd439))) = vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436), inference(demodulation, [status(thm)], [c0,c1])). % 23.61/5.66 cnf(d3, plain, vmul(vd436,vplus(vd437,vsucc(vd439))) = vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436), inference(demodulation, [status(thm)], [d2,c58])). % 23.61/5.66 cnf(d4, plain, vmul(vd436,vplus(vd437,vsucc(vd439))) = vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)), inference(demodulation, [status(thm)], [d3,c57])). % 23.61/5.66 cnf(d5, plain, vmul(vd436,vplus(vd437,vsucc(vd439))) = vplus(vmul(vd436,vd437),vplus(vd436,vmul(vd436,vd439))), inference(demodulation, [status(thm)], [d4,c54])). % 23.61/5.66 cnf(d6, plain, vmul(vd436,vplus(vd437,vsucc(vd439))) = vplus(vmul(vd436,vd437),vmul(vsucc(vd439),vd436)), inference(demodulation, [status(thm)], [d5,d1])). % 23.61/5.66 cnf(d7, plain, vmul(vd436,vplus(vd437,vsucc(vd439))) = vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))), inference(demodulation, [status(thm)], [d6,c7])). % 23.61/5.66 cnf(d8, plain, vplus(vmul(vd436,vplus(vd437,vd439)),vd436) != vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)), inference(demodulation, [status(thm)], [c65,c0])). % 23.61/5.66 cnf(d9, plain, vmul(vd436,vsucc(vplus(vd437,vd439))) != vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)), inference(demodulation, [status(thm)], [d8,c1])). % 23.61/5.66 cnf(d10, plain, vmul(vd436,vplus(vd437,vsucc(vd439))) != vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)), inference(demodulation, [status(thm)], [d9,c2])). % 23.61/5.66 cnf(d11, plain, vmul(vd436,vplus(vd437,vsucc(vd439))) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))), inference(demodulation, [status(thm)], [d10,c10])). % 23.61/5.66 cnf(d12, plain, $false, inference(resolution, [status(thm)], [d11,d7])). % 23.61/5.66 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------