%------------------------------------------------------------------------------ % 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 : n027.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 : Unsatisfiable 0.12s 0.43s % Output : Refutation 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT044-1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : run_spass %d %s % 0.08/0.36 % Computer : n027.cluster.edu % 0.08/0.36 % Model : x86_64 x86_64 % 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.36 % Memory : 8046.5625MB % 0.08/0.36 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Mon Sep 7 13:11:00 UTC 2026 % 0.08/0.36 % CPUTime : % 0.12/0.43 % 0.12/0.43 SPASS V 3.9 % 0.12/0.43 SPASS beiseite: Proof found. % 0.12/0.43 % SZS status Theorem % 0.12/0.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.43 SPASS derived 30 clauses, backtracked 0 clauses, performed 1 splits and kept 38 clauses. % 0.12/0.43 SPASS allocated 75638 KBytes. % 0.12/0.43 SPASS spent 0:00:00.06 on the problem. % 0.12/0.43 0:00:00.03 for the input. % 0.12/0.43 0:00:00.00 for the FLOTTER CNF translation. % 0.12/0.43 0:00:00.00 for inferences. % 0.12/0.43 0:00:00.00 for the backtracking. % 0.12/0.43 0:00:00.00 for the reduction. % 0.12/0.43 % 0.12/0.43 % 0.12/0.43 Here is a proof with depth 2, length 14 : % 0.12/0.43 % SZS output start Refutation % 0.12/0.43 1[0:Inp] organization(u) || smaller_or_equal(internal_friction(u,v),internal_friction(u,w))* greater(stock_of_knowledge(u,v),stock_of_knowledge(u,w)) -> greater(capability(u,v),capability(u,w)). % 0.12/0.43 4[0:Inp] organization(u) || greater(age(u,v),age(u,w))* -> greater(stock_of_knowledge(u,v),stock_of_knowledge(u,w)). % 0.12/0.43 5[0:Inp] organization(u) || -> equal(internal_friction(u,v),internal_friction(u,w))*. % 0.12/0.43 6[0:Inp] || -> organization(sk1)*. % 0.12/0.43 7[0:Inp] || -> greater(age(sk1,sk3),age(sk1,sk2))*r. % 0.12/0.43 8[0:Inp] || greater(capability(sk1,sk3),capability(sk1,sk2))*r -> . % 0.12/0.43 11[0:Inp] || equal(u,v) -> smaller_or_equal(u,v)*. % 0.12/0.43 24[0:Res:6.0,5.0] || -> equal(internal_friction(sk1,u),internal_friction(sk1,v))*. % 0.12/0.43 29[0:Res:7.0,4.1] organization(sk1) || -> greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))*r. % 0.12/0.43 33[0:Res:1.3,8.0] organization(sk1) || greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))* -> . % 0.12/0.43 34[0:MRR:29.0,6.0] || -> greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))*r. % 0.12/0.43 35[0:MRR:33.0,33.1,6.0,34.0] || smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))* -> . % 0.12/0.43 51[0:Res:11.1,35.0] || equal(internal_friction(sk1,sk2),internal_friction(sk1,sk3))** -> . % 0.12/0.43 52[0:UnC:51.0,24.0] || -> . % 0.12/0.43 % SZS output end Refutation % 0.12/0.43 Formulae used in the proof : assumption_5_32 assumption_7_35 assumption_9_36 lemma_3_37 lemma_3_38 lemma_3_39 definition_smaller_or_equal_3 % 0.12/0.43 %------------------------------------------------------------------------------