%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : MGT044+1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n009.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 0.10s 0.45s % Output : Refutation 0.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT044+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : run_spass %d %s % 0.10/0.36 % Computer : n009.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Mon Sep 7 13:07:07 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.45 % 0.10/0.45 SPASS V 3.9 % 0.10/0.45 SPASS beiseite: Proof found. % 0.10/0.45 % SZS status Theorem % 0.10/0.45 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.10/0.45 SPASS derived 30 clauses, backtracked 0 clauses, performed 1 splits and kept 38 clauses. % 0.10/0.45 SPASS allocated 97678 KBytes. % 0.10/0.45 SPASS spent 0:00:00.08 on the problem. % 0.10/0.45 0:00:00.03 for the input. % 0.10/0.45 0:00:00.02 for the FLOTTER CNF translation. % 0.10/0.45 0:00:00.00 for inferences. % 0.10/0.45 0:00:00.00 for the backtracking. % 0.10/0.45 0:00:00.00 for the reduction. % 0.10/0.45 % 0.10/0.45 % 0.10/0.45 Here is a proof with depth 2, length 14 : % 0.10/0.45 % SZS output start Refutation % 0.10/0.45 1[0:Inp] || -> organization(skc3)*. % 0.10/0.45 2[0:Inp] || -> greater(age(skc3,skc4),age(skc3,skc5))*r. % 0.10/0.45 4[0:Inp] || equal(u,v) -> smaller_or_equal(u,v)*. % 0.10/0.45 9[0:Inp] || greater(capability(skc3,skc4),capability(skc3,skc5))*r -> . % 0.10/0.45 12[0:Inp] organization(u) || -> equal(internal_friction(u,v),internal_friction(u,w))*. % 0.10/0.45 16[0:Inp] organization(u) || greater(age(u,v),age(u,w))* -> greater(stock_of_knowledge(u,v),stock_of_knowledge(u,w)). % 0.10/0.45 19[0:Inp] organization(u) || greater(stock_of_knowledge(u,v),stock_of_knowledge(u,w)) smaller_or_equal(internal_friction(u,v),internal_friction(u,w))* -> greater(capability(u,v),capability(u,w)). % 0.10/0.45 24[0:Res:1.0,12.0] || -> equal(internal_friction(skc3,u),internal_friction(skc3,v))*. % 0.10/0.45 29[0:Res:2.0,16.1] organization(skc3) || -> greater(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc5))*r. % 0.10/0.45 33[0:Res:19.3,9.0] organization(skc3) || smaller_or_equal(internal_friction(skc3,skc4),internal_friction(skc3,skc5))* greater(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc5)) -> . % 0.10/0.45 34[0:MRR:29.0,1.0] || -> greater(stock_of_knowledge(skc3,skc4),stock_of_knowledge(skc3,skc5))*r. % 0.10/0.45 35[0:MRR:33.0,33.2,1.0,34.0] || smaller_or_equal(internal_friction(skc3,skc4),internal_friction(skc3,skc5))* -> . % 0.10/0.45 51[0:Res:4.1,35.0] || equal(internal_friction(skc3,skc5),internal_friction(skc3,skc4))** -> . % 0.10/0.45 52[0:UnC:51.0,24.0] || -> . % 0.10/0.45 % SZS output end Refutation % 0.10/0.45 Formulae used in the proof : lemma_3 definition_smaller_or_equal assumption_9 assumption_7 assumption_5 % 0.10/0.45 %------------------------------------------------------------------------------