%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM846+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 08:13:57 AM UTC 2026 % Result : Theorem 11.81s 3.15s % Output : CNFRefutation 11.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : NUM846+2 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.18/0.44 % Computer : n020.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 04:13:33 UTC 2026 % 0.18/0.44 % CPUTime : % 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 11.81/3.15 % SZS status Theorem for theBenchmark.p % 11.81/3.15 % SZS output start CNFRefutation for theBenchmark.p % 11.81/3.15 fof(holds(286, 441, 1), axiom, vmul(vd436,vsucc(vplus(vd437,vd439))) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436)). % 11.81/3.15 fof(holds(286, 441, 0), axiom, vmul(vd436,vplus(vd437,vsucc(vd439))) = vmul(vd436,vsucc(vplus(vd437,vd439)))). % 11.81/3.15 fof(holds(285, 440, 0), axiom, vmul(vd436,vplus(vd437,vd439)) = vplus(vmul(vd436,vd437),vmul(vd436,vd439))). % 11.81/3.15 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))). % 11.81/3.15 fof(holds(286, 441, 2), conjecture, vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436)). % 11.81/3.15 fof(negated_conjecture, negated_conjecture, vplus(vmul(vd436,vplus(vd437,vd439)),vd436) != vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436), inference(negate_conjecture, [status(cth)], [holds(286, 441, 2)])). % 11.81/3.15 cnf(c0, plain, vmul(vd436,vsucc(vplus(vd437,vd439))) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436), inference(clausification, [status(esa)], [holds(286, 441, 1)])). % 11.81/3.15 cnf(c1, plain, vmul(vd436,vplus(vd437,vsucc(vd439))) = vmul(vd436,vsucc(vplus(vd437,vd439))), inference(clausification, [status(esa)], [holds(286, 441, 0)])). % 11.81/3.15 cnf(c2, plain, vmul(vd436,vplus(vd437,vd439)) = vplus(vmul(vd436,vd437),vmul(vd436,vd439)), inference(clausification, [status(esa)], [holds(285, 440, 0)])). % 11.81/3.15 cnf(c8, 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)))])). % 11.81/3.15 cnf(c22, plain, vplus(vmul(vd436,vplus(vd437,vd439)),vd436) != vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436), inference(clausification, [status(esa)], [negated_conjecture])). % 11.81/3.15 cnf(d0, plain, vmul(vd436,vsucc(vplus(vd437,vd439))) != vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436), inference(demodulation, [status(thm)], [c22,c0])). % 11.81/3.15 cnf(d1, plain, vmul(vd436,vplus(vd437,vsucc(vd439))) != vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436), inference(demodulation, [status(thm)], [d0,c1])). % 11.81/3.15 cnf(d2, plain, vmul(vd436,vplus(vd437,vsucc(vd439))) != vplus(vmul(vd436,vplus(vd437,vd439)),vd436), inference(demodulation, [status(thm)], [d1,c2])). % 11.81/3.15 cnf(d3, plain, vmul(vd436,vplus(vd437,vsucc(vd439))) != vmul(vd436,vsucc(vplus(vd437,vd439))), inference(demodulation, [status(thm)], [d2,c8])). % 11.81/3.15 cnf(d4, plain, vmul(vd436,vplus(vd437,vsucc(vd439))) != vmul(vd436,vplus(vd437,vsucc(vd439))), inference(demodulation, [status(thm)], [d3,c1])). % 11.81/3.15 cnf(d5, plain, $false, inference(equality_resolution, [status(thm)], [d4])). % 11.81/3.15 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------