%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SYN079-1 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n028.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 12:18:25 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 : SYN079-1 : TPTP v8.1.0. Released v1.0.0. % 0.03/0.13 % Command : run_spass %d %s % 0.12/0.33 % Computer : n028.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 : Tue Jul 12 04:51:14 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/sandbox2/benchmark/theBenchmark.p % 0.19/0.41 SPASS derived 1 clauses, backtracked 0 clauses, performed 0 splits and kept 4 clauses. % 0.19/0.41 SPASS allocated 63076 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 1[0:Inp] || -> big_f(f(a,b),f(b,c))*l. % 0.19/0.41 2[0:Inp] || -> big_f(f(b,c),f(a,c))*r. % 0.19/0.41 3[0:Inp] || big_f(u,v)* big_f(v,w)* -> big_f(u,w)*. % 0.19/0.41 4[0:Inp] || big_f(f(a,b),f(a,c))*l -> . % 0.19/0.41 5[0:NCh:3.2,3.0,4.0,1.0] || big_f(f(b,c),f(a,c))*r -> . % 0.19/0.41 6[0:MRR:5.0,2.0] || -> . % 0.19/0.41 % SZS output end Refutation % 0.19/0.41 Formulae used in the proof : clause_1 clause_2 clause_3 prove_this % 0.19/0.41 %------------------------------------------------------------------------------