%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : NUN073+1 : TPTP v8.1.0. Released v7.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n022.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 16:38:46 EDT 2022 % Result : Theorem 0.19s 0.46s % Output : Refutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUN073+1 : TPTP v8.1.0. Released v7.3.0. % 0.07/0.13 % Command : run_spass %d %s % 0.13/0.34 % Computer : n022.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Thu Jun 2 07:29:37 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.46 % 0.19/0.46 SPASS V 3.9 % 0.19/0.46 SPASS beiseite: Proof found. % 0.19/0.46 % SZS status Theorem % 0.19/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.46 SPASS derived 70 clauses, backtracked 0 clauses, performed 0 splits and kept 123 clauses. % 0.19/0.46 SPASS allocated 97805 KBytes. % 0.19/0.46 SPASS spent 0:00:00.10 on the problem. % 0.19/0.46 0:00:00.04 for the input. % 0.19/0.46 0:00:00.03 for the FLOTTER CNF translation. % 0.19/0.46 0:00:00.00 for inferences. % 0.19/0.46 0:00:00.00 for the backtracking. % 0.19/0.46 0:00:00.00 for the reduction. % 0.19/0.46 % 0.19/0.46 % 0.19/0.46 Here is a proof with depth 2, length 12 : % 0.19/0.46 % SZS output start Refutation % 0.19/0.46 2[0:Inp] || -> r1(skc8)*. % 0.19/0.46 3[0:Inp] || -> r2(skc10,skc9)*. % 0.19/0.46 4[0:Inp] || -> r2(skc8,skc7)*. % 0.19/0.46 5[0:Inp] || -> id__dfg(skc7,skc6)*r. % 0.19/0.46 6[0:Inp] || -> r2(skc9,skc6)*. % 0.19/0.46 49[0:Inp] r1(u) || r2(v,w)* id__dfg(u,w)* -> . % 0.19/0.46 58[0:Inp] || r2(u,v)* r2(w,x)* id__dfg(x,v)* -> id__dfg(w,u)*. % 0.19/0.46 78[0:Res:6.0,58.2] || r2(u,v)* id__dfg(v,skc6) -> id__dfg(u,skc9). % 0.19/0.46 88[0:Res:3.0,49.2] r1(u) || id__dfg(u,skc9)* -> . % 0.19/0.46 115[0:Res:2.0,88.0] || id__dfg(skc8,skc9)*l -> . % 0.19/0.46 128[0:Res:4.0,78.1] || id__dfg(skc7,skc6)*r -> id__dfg(skc8,skc9). % 0.19/0.46 137[0:MRR:128.0,128.1,5.0,115.0] || -> . % 0.19/0.46 % SZS output end Refutation % 0.19/0.46 Formulae used in the proof : oneunidtwo axiom_7a axiom_3a % 0.19/0.46 %------------------------------------------------------------------------------