%------------------------------------------------------------------------------ % 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 : n019.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 0.15s 0.49s % Output : Refutation 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT045-1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : run_spass %d %s % 0.09/0.37 % Computer : n019.cluster.edu % 0.09/0.37 % Model : x86_64 x86_64 % 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.37 % Memory : 8046.5625MB % 0.09/0.37 % OS : Linux 6.8.0-71-generic % 0.09/0.37 % CPULimit : 300 % 0.09/0.37 % WCLimit : 300 % 0.09/0.37 % DateTime : Mon Sep 7 13:09:37 UTC 2026 % 0.09/0.37 % CPUTime : % 0.15/0.49 % 0.15/0.49 SPASS V 3.9 % 0.15/0.49 SPASS beiseite: Proof found. % 0.15/0.49 % SZS status Theorem % 0.15/0.49 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.15/0.49 SPASS derived 12 clauses, backtracked 0 clauses, performed 0 splits and kept 25 clauses. % 0.15/0.49 SPASS allocated 75609 KBytes. % 0.15/0.49 SPASS spent 0:00:00.10 on the problem. % 0.15/0.49 0:00:00.06 for the input. % 0.15/0.49 0:00:00.00 for the FLOTTER CNF translation. % 0.15/0.49 0:00:00.00 for inferences. % 0.15/0.49 0:00:00.00 for the backtracking. % 0.15/0.49 0:00:00.00 for the reduction. % 0.15/0.49 % 0.15/0.49 % 0.15/0.49 Here is a proof with depth 1, length 9 : % 0.15/0.49 % SZS output start Refutation % 0.15/0.49 1[0:Inp] organization(u) || greater(external_ties(u,v),external_ties(u,w)) -> greater(position(u,v),position(u,w))*. % 0.15/0.49 3[0:Inp] organization(u) || greater(age(u,v),age(u,w))* -> greater(external_ties(u,v),external_ties(u,w)). % 0.15/0.49 4[0:Inp] || -> organization(sk1)*. % 0.15/0.49 5[0:Inp] || -> greater(age(sk1,sk3),age(sk1,sk2))*r. % 0.15/0.49 6[0:Inp] || greater(position(sk1,sk3),position(sk1,sk2))*r -> . % 0.15/0.49 25[0:Res:5.0,3.1] organization(sk1) || -> greater(external_ties(sk1,sk3),external_ties(sk1,sk2))*r. % 0.15/0.49 29[0:Res:1.2,6.0] organization(sk1) || greater(external_ties(sk1,sk3),external_ties(sk1,sk2))*r -> . % 0.15/0.49 30[0:MRR:25.0,4.0] || -> greater(external_ties(sk1,sk3),external_ties(sk1,sk2))*r. % 0.15/0.49 31[0:MRR:29.0,29.1,4.0,30.0] || -> . % 0.15/0.49 % SZS output end Refutation % 0.15/0.49 Formulae used in the proof : assumption_6_30 assumption_8_32 lemma_4_33 lemma_4_34 lemma_4_35 % 0.15/0.49 %------------------------------------------------------------------------------