%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SWV003-1 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n012.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 : Wed Jul 20 21:40:54 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 % 0.00/0.12 % Problem : SWV003-1 : TPTP v8.1.0. Released v1.0.0. % 0.11/0.12 % Command : run_spass %d %s % 0.13/0.33 % Computer : n012.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Wed Jun 15 14:16:09 EDT 2022 % 0.13/0.33 % 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/sandbox2/benchmark/theBenchmark.p % 0.19/0.41 SPASS derived 42 clauses, backtracked 17 clauses, performed 1 splits and kept 68 clauses. % 0.19/0.41 SPASS allocated 63132 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 3, length 16 : % 0.19/0.41 % SZS output start Refutation % 0.19/0.41 2[0:Inp] || -> less_than(k,j)*l. % 0.19/0.41 3[0:Inp] || less_than(k,i)*r -> . % 0.19/0.41 9[0:Inp] || -> less_than(j,i)*r. % 0.19/0.41 16[0:Inp] || less_than(u,v)* less_than(v,w)* -> less_than(u,w)*. % 0.19/0.41 17[0:Inp] || -> equal(u,v) less_than(v,u)* less_than(u,v)*. % 0.19/0.41 19[0:Inp] || less_than(u,v)* less_than(v,u)* -> . % 0.19/0.41 22[0:Res:9.0,19.0] || less_than(i,j)*l -> . % 0.19/0.41 31[0:Res:2.0,19.0] || less_than(j,k)*r -> . % 0.19/0.41 36[0:Res:17.0,3.0] || -> equal(i,k) less_than(i,k)*l. % 0.19/0.41 42[1:Spt:36.0] || -> equal(i,k)**. % 0.19/0.41 54[1:Rew:42.0,22.0] || less_than(k,j)*l -> . % 0.19/0.41 59[1:MRR:54.0,2.0] || -> . % 0.19/0.41 63[1:Spt:59.0,36.0,42.0] || equal(i,k)** -> . % 0.19/0.41 64[1:Spt:59.0,36.1] || -> less_than(i,k)*l. % 0.19/0.41 69[1:OCh:16.1,16.0,9.0,64.0] || -> less_than(j,k)*r. % 0.19/0.41 71[1:MRR:69.0,31.0] || -> . % 0.19/0.41 % SZS output end Refutation % 0.19/0.41 Formulae used in the proof : clause_2 clause_3 clause_9 transitivity_of_less_than all_related anti_symmetry_of_less_than % 0.19/0.41 %------------------------------------------------------------------------------