%------------------------------------------------------------------------------ % 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 : n002.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 : Theorem 149.14s 149.44s % Output : Refutation 149.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT050+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.03 % Command : run_spass %d %s % 0.08/0.35 % Computer : n002.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Mon Sep 7 13:19:52 UTC 2026 % 0.08/0.36 % CPUTime : % 149.14/149.44 % 149.14/149.44 SPASS V 3.9 % 149.14/149.44 SPASS beiseite: Proof found. % 149.14/149.44 % SZS status Theorem % 149.14/149.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 149.14/149.44 SPASS derived 38249 clauses, backtracked 1137 clauses, performed 12 splits and kept 11100 clauses. % 149.14/149.44 SPASS allocated 129866 KBytes. % 149.14/149.44 SPASS spent 0:2:25.25 on the problem. % 149.14/149.44 0:00:00.06 for the input. % 149.14/149.44 0:00:00.05 for the FLOTTER CNF translation. % 149.14/149.44 0:00:01.69 for inferences. % 149.14/149.44 0:00:02.10 for the backtracking. % 149.14/149.44 0:2:21.13 for the reduction. % 149.14/149.44 % 149.14/149.44 % 149.14/149.44 Here is a proof with depth 5, length 35 : % 149.14/149.44 % SZS output start Refutation % 149.14/149.44 1[0:Inp] || -> organization(skc3)*. % 149.14/149.44 2[0:Inp] || has_endowment(skc3)* -> . % 149.14/149.44 3[0:Inp] || -> greater(age(skc3,skc4),age(skc3,skc5))*r. % 149.14/149.44 5[0:Inp] || equal(u,v) -> smaller_or_equal(u,v)*. % 149.14/149.44 7[0:Inp] || equal(u,v) -> greater_or_equal(u,v)*. % 149.14/149.44 8[0:Inp] || smaller(u,v)* -> greater(v,u). % 149.14/149.44 10[0:Inp] || greater(hazard_of_mortality(skc3,skc4),hazard_of_mortality(skc3,skc5))*r -> . % 149.14/149.44 12[0:Inp] organization(u) || has_immunity(u,v)* -> has_endowment(u). % 149.14/149.44 14[0:Inp] organization(u) || -> equal(stock_of_knowledge(u,v),stock_of_knowledge(u,w))*. % 149.14/149.44 15[0:Inp] organization(u) || -> equal(external_ties(u,v),external_ties(u,w))*. % 149.14/149.44 20[0:Inp] organization(u) || equal(external_ties(u,v),external_ties(u,w))* -> equal(position(u,v),position(u,w)). % 149.14/149.44 21[0:Inp] organization(u) || greater(age(u,v),age(u,w))* -> greater(internal_friction(u,v),internal_friction(u,w)). % 149.14/149.44 23[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)). % 149.14/149.44 27[0:Inp] organization(u) || greater(capability(u,v),capability(u,w)) greater_or_equal(position(u,v),position(u,w)) -> has_immunity(u,v) has_immunity(u,w) smaller(hazard_of_mortality(u,v),hazard_of_mortality(u,w))*. % 149.14/149.44 36[0:Res:1.0,20.0] || equal(external_ties(skc3,u),external_ties(skc3,v))* -> equal(position(skc3,u),position(skc3,v)). % 149.14/149.44 38[0:Res:1.0,15.0] || -> equal(external_ties(skc3,u),external_ties(skc3,v))*. % 149.14/149.44 39[0:Res:1.0,12.0] || has_immunity(skc3,u)* -> has_endowment(skc3). % 149.14/149.44 45[0:Res:3.0,21.1] organization(skc3) || -> greater(internal_friction(skc3,skc4),internal_friction(skc3,skc5))*r. % 149.14/149.44 49[0:MRR:39.1,2.0] || has_immunity(skc3,u)* -> . % 149.14/149.44 50[0:MRR:45.0,1.0] || -> greater(internal_friction(skc3,skc4),internal_friction(skc3,skc5))*r. % 149.14/149.44 99[0:SpL:38.0,36.0] || equal(external_ties(skc3,u),external_ties(skc3,v))*+ -> equal(position(skc3,w),position(skc3,v))*. % 149.14/149.44 110[0:EqR:99.0] || -> equal(position(skc3,u),position(skc3,v))*. % 149.14/149.44 327[0:SpL:14.1,23.1] organization(u) organization(u) || smaller_or_equal(stock_of_knowledge(u,v),stock_of_knowledge(u,w))* greater(internal_friction(u,x),internal_friction(u,w)) -> smaller(capability(u,x),capability(u,w))*. % 149.14/149.44 332[0:Obv:327.0] organization(u) || smaller_or_equal(stock_of_knowledge(u,v),stock_of_knowledge(u,w))* greater(internal_friction(u,x),internal_friction(u,w))+ -> smaller(capability(u,x),capability(u,w))*. % 149.14/149.44 458[0:Res:27.5,8.0] organization(u) || greater(capability(u,v),capability(u,w)) greater_or_equal(position(u,v),position(u,w))* -> has_immunity(u,v) has_immunity(u,w) greater(hazard_of_mortality(u,w),hazard_of_mortality(u,v)). % 149.14/149.44 1451[0:Res:50.0,332.2] organization(skc3) || smaller_or_equal(stock_of_knowledge(skc3,u),stock_of_knowledge(skc3,skc5))* -> smaller(capability(skc3,skc4),capability(skc3,skc5)). % 149.14/149.44 1482[0:SSi:1451.0,1.0] || smaller_or_equal(stock_of_knowledge(skc3,u),stock_of_knowledge(skc3,skc5))* -> smaller(capability(skc3,skc4),capability(skc3,skc5)). % 149.14/149.44 1500[0:Res:5.1,1482.0] || equal(stock_of_knowledge(skc3,u),stock_of_knowledge(skc3,skc5))*+ -> smaller(capability(skc3,skc4),capability(skc3,skc5))*. % 149.14/149.44 1511[0:EqR:1500.0] || -> smaller(capability(skc3,skc4),capability(skc3,skc5))*. % 149.14/149.44 1520[0:Res:1511.0,8.0] || -> greater(capability(skc3,skc5),capability(skc3,skc4))*l. % 149.14/149.44 1886[0:Res:7.1,458.2] organization(u) || equal(position(u,v),position(u,w)) greater(capability(u,v),capability(u,w)) -> has_immunity(u,v) has_immunity(u,w) greater(hazard_of_mortality(u,w),hazard_of_mortality(u,v))*. % 149.14/149.44 41234[0:Res:1886.5,10.0] organization(skc3) || equal(position(skc3,skc5),position(skc3,skc4))** greater(capability(skc3,skc5),capability(skc3,skc4)) -> has_immunity(skc3,skc5) has_immunity(skc3,skc4). % 149.14/149.44 41252[0:SSi:41234.0,1.0] || equal(position(skc3,skc5),position(skc3,skc4))** greater(capability(skc3,skc5),capability(skc3,skc4)) -> has_immunity(skc3,skc5) has_immunity(skc3,skc4). % 149.14/149.44 41253[0:MRR:41252.1,41252.2,41252.3,1520.0,49.0,49.0] || equal(position(skc3,skc5),position(skc3,skc4))** -> . % 149.14/149.44 41254[0:UnC:41253.0,110.0] || -> . % 149.14/149.44 % SZS output end Refutation % 149.14/149.44 Formulae used in the proof : theorem_3 definition_smaller_or_equal definition_greater_or_equal definition_smaller assumption_1 assumption_10 assumption_11 assumption_6 assumption_12 assumption_5 assumption_4 % 149.14/149.44 %------------------------------------------------------------------------------