%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : NUN066+1 : TPTP v8.1.0. Released v7.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n027.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 0.48s % Output : Refutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : NUN066+1 : TPTP v8.1.0. Released v7.3.0. % 0.04/0.13 % Command : run_spass %d %s % 0.13/0.35 % Computer : n027.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 : Thu Jun 2 07:17:19 EDT 2022 % 0.13/0.35 % CPUTime : % 0.19/0.48 % 0.19/0.48 SPASS V 3.9 % 0.19/0.48 SPASS beiseite: Proof found. % 0.19/0.48 % SZS status Theorem % 0.19/0.48 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.48 SPASS derived 234 clauses, backtracked 0 clauses, performed 0 splits and kept 201 clauses. % 0.19/0.48 SPASS allocated 97861 KBytes. % 0.19/0.48 SPASS spent 0:00:00.12 on the problem. % 0.19/0.48 0:00:00.03 for the input. % 0.19/0.48 0:00:00.04 for the FLOTTER CNF translation. % 0.19/0.48 0:00:00.00 for inferences. % 0.19/0.48 0:00:00.00 for the backtracking. % 0.19/0.48 0:00:00.01 for the reduction. % 0.19/0.48 % 0.19/0.48 % 0.19/0.48 Here is a proof with depth 5, length 33 : % 0.19/0.48 % SZS output start Refutation % 0.19/0.48 1[0:Inp] || -> r1(skf26(u))*. % 0.19/0.48 6[0:Inp] || -> id__dfg(u,skf23(u))*r. % 0.19/0.48 9[0:Inp] || -> r2(skf26(u),skf25(u))*. % 0.19/0.48 10[0:Inp] || -> r2(skf25(u),skf24(u))*. % 0.19/0.48 15[0:Inp] SkP9(u) || -> r1(skf23(u))*. % 0.19/0.48 16[0:Inp] || -> SkP9(u) id__dfg(u,skf24(u))*r. % 0.19/0.48 29[0:Inp] r1(u) || SkP4(u,v)* -> . % 0.19/0.48 41[0:Inp] || id__dfg(u,v) -> r1(u) SkP4(v,u)*. % 0.19/0.48 46[0:Inp] || r2(u,v) SkP5(w,x,v,u)* -> . % 0.19/0.48 48[0:Inp] || id__dfg(u,v)* id__dfg(v,w)* -> id__dfg(u,w)*. % 0.19/0.48 49[0:Inp] r1(u) || r2(v,w)* id__dfg(u,w)* -> . % 0.19/0.48 58[0:Inp] || r2(u,v)* r2(w,x)* id__dfg(x,v)* -> id__dfg(w,u)*. % 0.19/0.48 60[0:Inp] || id__dfg(u,v) id__dfg(w,x) -> r2(x,v) SkP5(v,x,u,w)*. % 0.19/0.48 75[0:Res:9.0,46.0] || SkP5(u,v,skf25(w),skf26(w))* -> . % 0.19/0.48 78[0:Res:9.0,49.2] r1(u) || id__dfg(u,skf25(v))* -> . % 0.19/0.48 79[0:Res:9.0,58.1] || r2(u,v)* id__dfg(skf25(w),v)* -> id__dfg(skf26(w),u)*. % 0.19/0.48 89[0:Res:6.0,49.1] r1(u) || r2(v,skf23(u))* -> . % 0.19/0.48 90[0:Res:6.0,41.0] || -> r1(u) SkP4(skf23(u),u)*. % 0.19/0.48 96[0:Res:6.0,60.1] || id__dfg(u,v) -> r2(v,skf23(w)) SkP5(skf23(w),v,w,u)*. % 0.19/0.48 102[0:Res:1.0,78.0] || id__dfg(skf26(u),skf25(v))* -> . % 0.19/0.48 113[0:Res:10.0,79.1] || id__dfg(skf25(u),skf24(v))* -> id__dfg(skf26(u),skf25(v)). % 0.19/0.48 129[0:Res:6.0,96.0] || -> r2(skf23(u),skf23(v)) SkP5(skf23(v),skf23(u),v,u)*. % 0.19/0.48 148[0:MRR:113.1,102.0] || id__dfg(skf25(u),skf24(v))* -> . % 0.19/0.48 165[0:Res:90.1,29.1] r1(skf23(u)) || -> r1(u)*. % 0.19/0.48 166[0:SoR:165.0,15.1] SkP9(u) || -> r1(u)*. % 0.19/0.48 167[0:SoR:165.0,166.1] SkP9(skf23(u)) || -> r1(u)*. % 0.19/0.48 181[0:Res:16.1,148.0] || -> SkP9(skf25(u))*. % 0.19/0.48 183[0:NCh:48.2,48.1,16.1,148.0] || id__dfg(skf25(u),v)*+ -> SkP9(v)*. % 0.19/0.48 203[0:Res:6.0,183.0] || -> SkP9(skf23(skf25(u)))*. % 0.19/0.48 213[0:SoR:167.0,203.0] || -> r1(skf25(u))*. % 0.19/0.48 319[0:Res:129.1,75.0] || -> r2(skf23(skf26(u)),skf23(skf25(u)))*. % 0.19/0.48 322[0:Res:319.0,89.1] r1(skf25(u)) || -> . % 0.19/0.48 324[0:SSi:322.0,181.0,213.0] || -> . % 0.19/0.48 % SZS output end Refutation % 0.19/0.48 Formulae used in the proof : nonzerononetwoexistid axiom_5 axiom_6 axiom_5a axiom_1a axiom_8 axiom_9 axiom_7 axiom_7a axiom_3a % 0.19/0.48 %------------------------------------------------------------------------------