%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SYN014-2 : TPTP v8.1.0. Released v1.0.0. % 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 : Thu Jul 21 12:17:19 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 % 0.03/0.12 % Problem : SYN014-2 : TPTP v8.1.0. Released v1.0.0. % 0.03/0.12 % Command : run_spass %d %s % 0.12/0.33 % Computer : n016.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jul 11 23:46:28 EDT 2022 % 0.12/0.33 % 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 71 clauses, backtracked 0 clauses, performed 0 splits and kept 63 clauses. % 0.19/0.41 SPASS allocated 63146 KBytes. % 0.19/0.41 SPASS spent 0:00:00.06 on the problem. % 0.19/0.41 0:00:00.03 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 2, length 8 : % 0.19/0.41 % SZS output start Refutation % 0.19/0.41 2[0:Inp] || equalish(u,v)* -> equalish(v,u). % 0.19/0.41 3[0:Inp] || equalish(u,v)* equalish(v,w)* -> equalish(u,w)*. % 0.19/0.41 22[0:Inp] || equalish(m,n)*l -> . % 0.19/0.41 23[0:Inp] || -> equalish(n,k)*r. % 0.19/0.41 26[0:Inp] || -> equalish(m,k)*r. % 0.19/0.41 41[0:Res:23.0,2.0] || -> equalish(k,n)*l. % 0.19/0.41 93[0:OCh:3.1,3.0,41.0,26.0] || -> equalish(m,n)*l. % 0.19/0.41 100[0:MRR:93.0,22.0] || -> . % 0.19/0.41 % SZS output end Refutation % 0.19/0.41 Formulae used in the proof : symmetryish transitivityish c_19 c_20 c_23 % 0.19/0.41 %------------------------------------------------------------------------------