%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SYN553-1 : TPTP v8.1.0. Released v2.5.0. % 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 : Thu Jul 21 12:22:50 EDT 2022 % Result : Unsatisfiable 0.21s 0.45s % Output : Refutation 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : SYN553-1 : TPTP v8.1.0. Released v2.5.0. % 0.13/0.14 % Command : run_spass %d %s % 0.13/0.35 % Computer : n022.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Mon Jul 11 14:00:55 EDT 2022 % 0.13/0.35 % CPUTime : % 0.21/0.45 % 0.21/0.45 SPASS V 3.9 % 0.21/0.45 SPASS beiseite: Proof found. % 0.21/0.45 % SZS status Theorem % 0.21/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.21/0.45 SPASS derived 221 clauses, backtracked 0 clauses, performed 0 splits and kept 90 clauses. % 0.21/0.45 SPASS allocated 63410 KBytes. % 0.21/0.45 SPASS spent 0:00:00.08 on the problem. % 0.21/0.45 0:00:00.03 for the input. % 0.21/0.45 0:00:00.00 for the FLOTTER CNF translation. % 0.21/0.45 0:00:00.01 for inferences. % 0.21/0.45 0:00:00.00 for the backtracking. % 0.21/0.45 0:00:00.02 for the reduction. % 0.21/0.45 % 0.21/0.45 % 0.21/0.45 Here is a proof with depth 5, length 12 : % 0.21/0.45 % SZS output start Refutation % 0.21/0.45 1[0:Inp] || -> p2(u,u)*. % 0.21/0.45 5[0:Inp] || -> p2(f8(u,v),f8(v,u))*. % 0.21/0.45 6[0:Inp] || p2(u,v)* p2(v,w)* -> p2(u,w)*. % 0.21/0.45 7[0:Inp] || -> p2(f8(u,f8(v,w)),f8(f8(u,v),w))*r. % 0.21/0.45 8[0:Inp] || p2(u,v) p2(w,x) -> p2(f8(w,u),f8(x,v))*. % 0.21/0.45 9[0:Inp] || p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4)))*l -> . % 0.21/0.45 12[0:OCh:6.1,6.0,7.0,5.0] || -> p2(f8(u,f8(v,w)),f8(w,f8(u,v)))*. % 0.21/0.45 15[0:OCh:6.1,6.0,12.0,12.0] || -> p2(f8(u,f8(v,w)),f8(v,f8(w,u)))*. % 0.21/0.45 21[0:OCh:6.1,6.0,15.0,5.0] || -> p2(f8(f8(u,v),w),f8(u,f8(v,w)))*l. % 0.21/0.45 35[0:NCh:6.2,6.0,21.0,9.0] || p2(f8(f9(c4),f8(c4,f9(c3))),f8(f9(c4),f8(f9(c3),c4)))*r -> . % 0.21/0.45 228[0:Res:8.2,35.0] || p2(f8(c4,f9(c3)),f8(f9(c3),c4))*r p2(f9(c4),f9(c4)) -> . % 0.21/0.45 231[0:MRR:228.0,228.1,5.0,1.0] || -> . % 0.21/0.45 % SZS output end Refutation % 0.21/0.45 Formulae used in the proof : p2_1 p2_5 p2_6 p2_7 p2_8 not_p2_9 % 0.21/0.45 %------------------------------------------------------------------------------