%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : NUN067+1 : TPTP v8.1.0. Released v7.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n025.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 16:38:44 EDT 2022 % Result : Theorem 0.19s 0.47s % Output : Refutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : NUN067+1 : TPTP v8.1.0. Released v7.3.0. % 0.11/0.13 % Command : run_spass %d %s % 0.13/0.34 % Computer : n025.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 08:11:44 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.47 % 0.19/0.47 SPASS V 3.9 % 0.19/0.47 SPASS beiseite: Proof found. % 0.19/0.47 % SZS status Theorem % 0.19/0.47 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.19/0.47 SPASS derived 63 clauses, backtracked 0 clauses, performed 0 splits and kept 99 clauses. % 0.19/0.47 SPASS allocated 97823 KBytes. % 0.19/0.47 SPASS spent 0:00:00.11 on the problem. % 0.19/0.47 0:00:00.04 for the input. % 0.19/0.47 0:00:00.04 for the FLOTTER CNF translation. % 0.19/0.47 0:00:00.00 for inferences. % 0.19/0.47 0:00:00.00 for the backtracking. % 0.19/0.47 0:00:00.00 for the reduction. % 0.19/0.47 % 0.19/0.47 % 0.19/0.47 Here is a proof with depth 3, length 18 : % 0.19/0.47 % SZS output start Refutation % 0.19/0.47 1[0:Inp] || -> r1(skf20(u))*. % 0.19/0.47 6[0:Inp] || -> id__dfg(u,skf20(u))*r. % 0.19/0.47 25[0:Inp] r1(u) || SkP4(u,v)* -> . % 0.19/0.47 26[0:Inp] || -> r2(skf27(u,v),skf24(v,u))*. % 0.19/0.47 37[0:Inp] || id__dfg(u,v) -> r1(u) SkP4(v,u)*. % 0.19/0.47 42[0:Inp] || r2(u,v) SkP5(w,x,v,u)* -> . % 0.19/0.47 45[0:Inp] r1(u) || id__dfg(u,v)* r2(w,v)* -> . % 0.19/0.47 56[0:Inp] || id__dfg(u,v) id__dfg(w,x) -> r2(v,x) SkP5(x,v,w,u)*. % 0.19/0.47 63[0:Res:1.0,25.0] || SkP4(skf20(u),v)* -> . % 0.19/0.47 73[0:Res:6.0,45.1] r1(u) || r2(v,skf20(u))* -> . % 0.19/0.47 74[0:Res:6.0,37.0] || -> r1(u) SkP4(skf20(u),u)*. % 0.19/0.47 80[0:Res:6.0,56.1] || id__dfg(u,v) -> r2(v,skf20(w)) SkP5(skf20(w),v,w,u)*. % 0.19/0.47 86[0:MRR:74.1,63.0] || -> r1(u)*. % 0.19/0.47 91[0:MRR:73.0,86.0] || r2(u,skf20(v))* -> . % 0.19/0.47 94[0:MRR:80.1,91.0] || id__dfg(u,v) -> SkP5(skf20(w),v,w,u)*. % 0.19/0.47 108[0:Res:6.0,94.0] || -> SkP5(skf20(u),skf20(v),u,v)*. % 0.19/0.47 129[0:Res:108.0,42.1] || r2(u,v)* -> . % 0.19/0.47 130[0:UnC:129.0,26.0] || -> . % 0.19/0.47 % SZS output end Refutation % 0.19/0.47 Formulae used in the proof : nonzerosexistid axiom_8 axiom_1a axiom_9 axiom_7a % 0.19/0.47 %------------------------------------------------------------------------------