%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : MGT048+1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n012.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 : Tue Sep 8 06:19:55 AM UTC 2026 % Result : Theorem 0.08s 0.38s % Output : Refutation 0.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : MGT048+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.02 % Command : run_spass %d %s % 0.03/0.29 % Computer : n012.cluster.edu % 0.03/0.29 % Model : x86_64 x86_64 % 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.03/0.29 % Memory : 8046.5625MB % 0.03/0.29 % OS : Linux 6.8.0-71-generic % 0.03/0.29 % CPULimit : 300 % 0.03/0.29 % WCLimit : 300 % 0.03/0.29 % DateTime : Mon Sep 7 13:13:56 UTC 2026 % 0.03/0.30 % CPUTime : % 0.08/0.38 % 0.08/0.38 SPASS V 3.9 % 0.08/0.38 SPASS beiseite: Proof found. % 0.08/0.38 % SZS status Theorem % 0.08/0.38 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.08/0.38 SPASS derived 30 clauses, backtracked 0 clauses, performed 1 splits and kept 38 clauses. % 0.08/0.38 SPASS allocated 97678 KBytes. % 0.08/0.38 SPASS spent 0:00:00.07 on the problem. % 0.08/0.38 0:00:00.03 for the input. % 0.08/0.38 0:00:00.02 for the FLOTTER CNF translation. % 0.08/0.38 0:00:00.00 for inferences. % 0.08/0.38 0:00:00.00 for the backtracking. % 0.08/0.38 0:00:00.00 for the reduction. % 0.08/0.38 % 0.08/0.38 % 0.08/0.38 Here is a proof with depth 2, length 14 : % 0.08/0.38 % SZS output start Refutation % 0.08/0.38 1[0:Inp] || -> organization(skc3)*. % 0.08/0.38 2[0:Inp] || -> greater(age(skc3,skc4),age(skc3,skc5))*r. % 0.08/0.38 4[0:Inp] || equal(u,v) -> smaller_or_equal(u,v)*. % 0.08/0.38 9[0:Inp] || smaller(capability(skc3,skc4),capability(skc3,skc5))* -> . % 0.08/0.38 12[0:Inp] organization(u) || -> equal(stock_of_knowledge(u,v),stock_of_knowledge(u,w))*. % 0.08/0.38 16[0:Inp] organization(u) || greater(age(u,v),age(u,w))* -> greater(internal_friction(u,v),internal_friction(u,w)). % 0.08/0.38 18[0:Inp] organization(u) || smaller_or_equal(stock_of_knowledge(u,v),stock_of_knowledge(u,w)) greater(internal_friction(u,v),internal_friction(u,w)) -> smaller(capability(u,v),capability(u,w))*. % 0.08/0.38 24[0:Res:1.0,12.0] || -> equal(stock_of_knowledge(skc3,u),stock_of_knowledge(skc3,v))*. % 0.08/0.38 27[0:Res:18.3,9.0] organization(skc3) || greater(internal_friction(skc3,skc4),internal_friction(skc3,skc5)) smaller_or_equal(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc5))* -> . % 0.08/0.38 33[0:Res:2.0,16.1] organization(skc3) || -> greater(internal_friction(skc3,skc4),internal_friction(skc3,skc5))*r. % 0.08/0.38 34[0:MRR:33.0,1.0] || -> greater(internal_friction(skc3,skc4),internal_friction(skc3,skc5))*r. % 0.08/0.38 35[0:MRR:27.0,27.1,1.0,34.0] || smaller_or_equal(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc5))* -> . % 0.08/0.38 51[0:Res:4.1,35.0] || equal(stock_of_knowledge(skc3,skc5),stock_of_knowledge(skc3,skc4))** -> . % 0.08/0.38 52[0:UnC:51.0,24.0] || -> . % 0.08/0.38 % SZS output end Refutation % 0.08/0.38 Formulae used in the proof : lemma_5 definition_smaller_or_equal assumption_10 assumption_12 assumption_5 % 0.08/0.38 %------------------------------------------------------------------------------