%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : NUN080+1 : TPTP v8.1.0. Released v7.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n024.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 16:38:47 EDT 2022 % Result : Theorem 0.21s 0.52s % Output : Refutation 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : NUN080+1 : TPTP v8.1.0. Released v7.3.0. % 0.04/0.13 % Command : run_spass %d %s % 0.14/0.34 % Computer : n024.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Thu Jun 2 05:57:21 EDT 2022 % 0.14/0.35 % CPUTime : % 0.21/0.52 % 0.21/0.52 SPASS V 3.9 % 0.21/0.52 SPASS beiseite: Proof found. % 0.21/0.52 % SZS status Theorem % 0.21/0.52 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.21/0.52 SPASS derived 850 clauses, backtracked 0 clauses, performed 0 splits and kept 463 clauses. % 0.21/0.52 SPASS allocated 98250 KBytes. % 0.21/0.52 SPASS spent 0:00:00.16 on the problem. % 0.21/0.52 0:00:00.03 for the input. % 0.21/0.52 0:00:00.04 for the FLOTTER CNF translation. % 0.21/0.52 0:00:00.01 for inferences. % 0.21/0.52 0:00:00.00 for the backtracking. % 0.21/0.52 0:00:00.05 for the reduction. % 0.21/0.52 % 0.21/0.52 % 0.21/0.52 Here is a proof with depth 4, length 18 : % 0.21/0.52 % SZS output start Refutation % 0.21/0.52 1[0:Inp] || -> id__dfg(u,u)*. % 0.21/0.52 4[0:Inp] || -> r1(skf34(u))*. % 0.21/0.52 8[0:Inp] || -> r2(u,skf28(v,u))*. % 0.21/0.52 9[0:Inp] || -> id__dfg(skf32(u),skf34(u))*l. % 0.21/0.52 13[0:Inp] || -> r3(u,v,skf25(v,u))*. % 0.21/0.52 21[0:Inp] || id__dfg(u,v)* -> id__dfg(v,u). % 0.21/0.52 22[0:Inp] r1(u) || SkP4(v,u)* -> . % 0.21/0.52 36[0:Inp] || id__dfg(u,v) -> r1(v) SkP4(v,u)*. % 0.21/0.52 55[0:Inp] r1(u) || r3(v,w,x)* r2(y,w)* id__dfg(x,z)* r2(u,y)* -> . % 0.21/0.52 71[0:Res:1.0,55.3] r1(u) || r2(u,v)* r2(v,w)* r3(x,w,y)*+ -> . % 0.21/0.52 119[0:Res:36.2,22.1] r1(u) || id__dfg(u,v)*+ -> r1(v)*. % 0.21/0.52 280[0:Res:9.0,21.0] || -> id__dfg(skf34(u),skf32(u))*r. % 0.21/0.52 448[0:Res:280.0,119.1] r1(skf34(u)) || -> r1(skf32(u))*. % 0.21/0.52 458[0:SSi:448.0,4.0] || -> r1(skf32(u))*. % 0.21/0.52 917[0:Res:13.0,71.3] r1(u) || r2(u,v)*+ r2(v,w)* -> . % 0.21/0.52 922[0:Res:8.0,917.1] r1(u) || r2(skf28(v,u),w)* -> . % 0.21/0.52 934[0:Res:8.0,922.1] r1(u) || -> . % 0.21/0.52 937[0:UnC:934.0,458.0] || -> . % 0.21/0.52 % SZS output end Refutation % 0.21/0.52 Formulae used in the proof : axiom_5 axiom_5a axiom_2a axiom_1a axiom_6 axiom_8 xplustwoidy % 0.21/0.52 %------------------------------------------------------------------------------