%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : MGT050-1 : 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 06:19:56 AM UTC 2026 % Result : Unsatisfiable 27.07s 27.30s % Output : Refutation 27.07s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT050-1 : 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 13:18:07 UTC 2026 % 0.10/0.36 % CPUTime : % 27.07/27.30 % 27.07/27.30 SPASS V 3.9 % 27.07/27.30 SPASS beiseite: Proof found. % 27.07/27.30 % SZS status Theorem % 27.07/27.30 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 27.07/27.30 SPASS derived 16457 clauses, backtracked 967 clauses, performed 8 splits and kept 5025 clauses. % 27.07/27.30 SPASS allocated 89474 KBytes. % 27.07/27.30 SPASS spent 0:0:26.13 on the problem. % 27.07/27.30 0:00:00.06 for the input. % 27.07/27.30 0:00:00.00 for the FLOTTER CNF translation. % 27.07/27.30 0:00:00.68 for inferences. % 27.07/27.30 0:00:00.23 for the backtracking. % 27.07/27.30 0:0:25.07 for the reduction. % 27.07/27.30 % 27.07/27.30 % 27.07/27.30 Here is a proof with depth 5, length 36 : % 27.07/27.30 % SZS output start Refutation % 27.07/27.30 1[0:Inp] organization(u) || has_immunity(u,v)* -> has_endowment(u). % 27.07/27.30 2[0:Inp] organization(u) || greater_or_equal(position(u,v),position(u,w)) greater(capability(u,v),capability(u,w)) -> has_immunity(u,v) has_immunity(u,w) smaller(hazard_of_mortality(u,v),hazard_of_mortality(u,w))*. % 27.07/27.30 6[0:Inp] organization(u) || greater(internal_friction(u,v),internal_friction(u,w)) smaller_or_equal(stock_of_knowledge(u,v),stock_of_knowledge(u,w))* -> smaller(capability(u,v),capability(u,w)). % 27.07/27.30 9[0:Inp] organization(u) || equal(external_ties(u,v),external_ties(u,w))* -> equal(position(u,v),position(u,w)). % 27.07/27.30 10[0:Inp] organization(u) || -> equal(stock_of_knowledge(u,v),stock_of_knowledge(u,w))*. % 27.07/27.30 11[0:Inp] organization(u) || -> equal(external_ties(u,v),external_ties(u,w))*. % 27.07/27.30 12[0:Inp] organization(u) || greater(age(u,v),age(u,w))* -> greater(internal_friction(u,v),internal_friction(u,w)). % 27.07/27.30 13[0:Inp] || -> organization(sk1)*. % 27.07/27.30 14[0:Inp] || has_endowment(sk1)* -> . % 27.07/27.30 15[0:Inp] || -> greater(age(sk1,sk3),age(sk1,sk2))*r. % 27.07/27.30 16[0:Inp] || greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))*r -> . % 27.07/27.30 19[0:Inp] || equal(u,v) -> smaller_or_equal(u,v)*. % 27.07/27.30 22[0:Inp] || equal(u,v) -> greater_or_equal(u,v)*. % 27.07/27.30 23[0:Inp] || smaller(u,v)* -> greater(v,u). % 27.07/27.30 29[0:Res:13.0,2.0] || greater(capability(sk1,u),capability(sk1,v)) greater_or_equal(position(sk1,u),position(sk1,v)) -> has_immunity(sk1,v) has_immunity(sk1,u) smaller(hazard_of_mortality(sk1,u),hazard_of_mortality(sk1,v))*. % 27.07/27.30 36[0:Res:13.0,9.0] || equal(external_ties(sk1,u),external_ties(sk1,v))* -> equal(position(sk1,u),position(sk1,v)). % 27.07/27.30 38[0:Res:13.0,11.0] || -> equal(external_ties(sk1,u),external_ties(sk1,v))*. % 27.07/27.30 39[0:Res:13.0,1.0] || has_immunity(sk1,u)* -> has_endowment(sk1). % 27.07/27.30 45[0:Res:15.0,12.1] organization(sk1) || -> greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2))*r. % 27.07/27.30 48[0:Res:23.1,16.0] || smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3))* -> . % 27.07/27.30 49[0:MRR:39.1,14.0] || has_immunity(sk1,u)* -> . % 27.07/27.30 50[0:MRR:45.0,13.0] || -> greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2))*r. % 27.07/27.30 52[0:MRR:29.2,29.3,49.0,49.0] || greater_or_equal(position(sk1,u),position(sk1,v)) greater(capability(sk1,u),capability(sk1,v)) -> smaller(hazard_of_mortality(sk1,u),hazard_of_mortality(sk1,v))*. % 27.07/27.30 99[0:SpL:38.0,36.0] || equal(external_ties(sk1,u),external_ties(sk1,v))*+ -> equal(position(sk1,w),position(sk1,v))*. % 27.07/27.30 110[0:EqR:99.0] || -> equal(position(sk1,u),position(sk1,v))*. % 27.07/27.30 327[0:SpL:10.1,6.2] organization(u) organization(u) || greater(internal_friction(u,v),internal_friction(u,w)) smaller_or_equal(stock_of_knowledge(u,x),stock_of_knowledge(u,w))* -> smaller(capability(u,v),capability(u,w))*. % 27.07/27.30 332[0:Obv:327.0] organization(u) || greater(internal_friction(u,v),internal_friction(u,w))+ smaller_or_equal(stock_of_knowledge(u,x),stock_of_knowledge(u,w))* -> smaller(capability(u,v),capability(u,w))*. % 27.07/27.30 1451[0:Res:50.0,332.1] organization(sk1) || smaller_or_equal(stock_of_knowledge(sk1,u),stock_of_knowledge(sk1,sk2))* -> smaller(capability(sk1,sk3),capability(sk1,sk2)). % 27.07/27.30 1482[0:SSi:1451.0,13.0] || smaller_or_equal(stock_of_knowledge(sk1,u),stock_of_knowledge(sk1,sk2))* -> smaller(capability(sk1,sk3),capability(sk1,sk2)). % 27.07/27.30 1500[0:Res:19.1,1482.0] || equal(stock_of_knowledge(sk1,u),stock_of_knowledge(sk1,sk2))*+ -> smaller(capability(sk1,sk3),capability(sk1,sk2))*. % 27.07/27.30 1511[0:EqR:1500.0] || -> smaller(capability(sk1,sk3),capability(sk1,sk2))*. % 27.07/27.30 1520[0:Res:1511.0,23.0] || -> greater(capability(sk1,sk2),capability(sk1,sk3))*l. % 27.07/27.30 18189[0:Res:52.2,48.0] || greater_or_equal(position(sk1,sk2),position(sk1,sk3))* greater(capability(sk1,sk2),capability(sk1,sk3)) -> . % 27.07/27.30 18194[0:MRR:18189.1,1520.0] || greater_or_equal(position(sk1,sk2),position(sk1,sk3))* -> . % 27.07/27.30 18214[0:Res:22.1,18194.0] || equal(position(sk1,sk2),position(sk1,sk3))** -> . % 27.07/27.30 18215[0:UnC:18214.0,110.0] || -> . % 27.07/27.30 % SZS output end Refutation % 27.07/27.30 Formulae used in the proof : assumption_1_41 assumption_4_42 assumption_5_46 assumption_6_49 assumption_10_50 assumption_11_51 assumption_12_52 theorem_3_53 theorem_3_54 theorem_3_55 theorem_3_56 definition_smaller_or_equal_3 definition_greater_or_equal_6 definition_smaller_7 % 27.07/27.30 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