%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : MGT045+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 0.23s 0.52s % Output : Refutation 0.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT045+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.03 % Command : run_spass %d %s % 0.11/0.35 % Computer : n009.cluster.edu % 0.11/0.35 % Model : x86_64 x86_64 % 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.35 % Memory : 8046.5625MB % 0.11/0.35 % OS : Linux 6.8.0-71-generic % 0.11/0.35 % CPULimit : 300 % 0.11/0.35 % WCLimit : 300 % 0.11/0.35 % DateTime : Mon Sep 7 13:08:22 UTC 2026 % 0.11/0.36 % CPUTime : % 0.23/0.52 % 0.23/0.52 SPASS V 3.9 % 0.23/0.52 SPASS beiseite: Proof found. % 0.23/0.52 % SZS status Theorem % 0.23/0.52 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.23/0.52 SPASS derived 12 clauses, backtracked 0 clauses, performed 0 splits and kept 25 clauses. % 0.23/0.52 SPASS allocated 97642 KBytes. % 0.23/0.52 SPASS spent 0:00:00.14 on the problem. % 0.23/0.52 0:00:00.06 for the input. % 0.23/0.52 0:00:00.04 for the FLOTTER CNF translation. % 0.23/0.52 0:00:00.00 for inferences. % 0.23/0.52 0:00:00.00 for the backtracking. % 0.23/0.52 0:00:00.00 for the reduction. % 0.23/0.52 % 0.23/0.52 % 0.23/0.52 Here is a proof with depth 1, length 9 : % 0.23/0.52 % SZS output start Refutation % 0.23/0.52 1[0:Inp] || -> organization(skc3)*. % 0.23/0.52 2[0:Inp] || -> greater(age(skc3,skc4),age(skc3,skc5))*r. % 0.23/0.52 9[0:Inp] || greater(position(skc3,skc4),position(skc3,skc5))*r -> . % 0.23/0.52 15[0:Inp] organization(u) || greater(external_ties(u,v),external_ties(u,w)) -> greater(position(u,v),position(u,w))*. % 0.23/0.52 17[0:Inp] organization(u) || greater(age(u,v),age(u,w))* -> greater(external_ties(u,v),external_ties(u,w)). % 0.23/0.52 25[0:Res:2.0,17.1] organization(skc3) || -> greater(external_ties(skc3,skc4),external_ties(skc3,skc5))*r. % 0.23/0.52 29[0:Res:15.2,9.0] organization(skc3) || greater(external_ties(skc3,skc4),external_ties(skc3,skc5))*r -> . % 0.23/0.52 30[0:MRR:25.0,1.0] || -> greater(external_ties(skc3,skc4),external_ties(skc3,skc5))*r. % 0.23/0.52 31[0:MRR:29.0,29.1,1.0,30.0] || -> . % 0.23/0.52 % SZS output end Refutation % 0.23/0.52 Formulae used in the proof : lemma_4 assumption_6 assumption_8 % 0.23/0.52 %------------------------------------------------------------------------------