%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : NUM025-1 : TPTP v8.1.0. Bugfixed v4.0.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n016.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Mon Jul 18 14:23:44 EDT 2022 % Result : Unsatisfiable 0.19s 0.41s % Output : Refutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM025-1 : TPTP v8.1.0. Bugfixed v4.0.0. % 0.07/0.13 % Command : run_spass %d %s % 0.12/0.34 % Computer : n016.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Tue Jul 5 14:19:33 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.41 % 0.19/0.41 SPASS V 3.9 % 0.19/0.41 SPASS beiseite: Proof found. % 0.19/0.41 % SZS status Theorem % 0.19/0.41 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.19/0.41 SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 16 clauses. % 0.19/0.41 SPASS allocated 63093 KBytes. % 0.19/0.41 SPASS spent 0:00:00.06 on the problem. % 0.19/0.41 0:00:00.04 for the input. % 0.19/0.41 0:00:00.00 for the FLOTTER CNF translation. % 0.19/0.41 0:00:00.00 for inferences. % 0.19/0.41 0:00:00.00 for the backtracking. % 0.19/0.41 0:00:00.00 for the reduction. % 0.19/0.41 % 0.19/0.41 % 0.19/0.41 Here is a proof with depth 1, length 6 : % 0.19/0.41 % SZS output start Refutation % 0.19/0.41 5[0:Inp] || less(u,u)* -> . % 0.19/0.41 6[0:Inp] || -> less(a,b)*l. % 0.19/0.41 7[0:Inp] || -> less(b,a)*r. % 0.19/0.41 14[0:Inp] || less(u,v)* less(v,w)* -> less(u,w)*. % 0.19/0.41 18[0:OCh:14.1,14.0,6.0,7.0] || -> less(b,b)*. % 0.19/0.41 19[0:MRR:18.0,5.0] || -> . % 0.19/0.41 % SZS output end Refutation % 0.19/0.41 Formulae used in the proof : no_number_less_than_itself a_less_than_b prove_b_not_less_than_a transitivity_of_less % 0.19/0.41 %------------------------------------------------------------------------------