%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : KRS121+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n018.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 : Sun Jul 17 03:30:37 EDT 2022 % Result : Unsatisfiable 0.18s 0.46s % Output : Refutation 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : KRS121+1 : TPTP v8.1.0. Released v3.1.0. % 0.03/0.13 % Command : run_spass %d %s % 0.12/0.34 % Computer : n018.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Tue Jun 7 07:15:05 EDT 2022 % 0.12/0.34 % CPUTime : % 0.18/0.46 % 0.18/0.46 SPASS V 3.9 % 0.18/0.46 SPASS beiseite: Proof found. % 0.18/0.46 % SZS status Theorem % 0.18/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.18/0.46 SPASS derived 99 clauses, backtracked 0 clauses, performed 0 splits and kept 94 clauses. % 0.18/0.46 SPASS allocated 97779 KBytes. % 0.18/0.46 SPASS spent 0:00:00.11 on the problem. % 0.18/0.46 0:00:00.04 for the input. % 0.18/0.46 0:00:00.04 for the FLOTTER CNF translation. % 0.18/0.46 0:00:00.00 for inferences. % 0.18/0.46 0:00:00.00 for the backtracking. % 0.18/0.46 0:00:00.01 for the reduction. % 0.18/0.46 % 0.18/0.46 % 0.18/0.46 Here is a proof with depth 3, length 23 : % 0.18/0.46 % SZS output start Refutation % 0.18/0.46 2[0:Inp] || -> cUnsatisfiable(i2003_11_14_17_21_5199)*. % 0.18/0.46 4[0:Inp] || -> ca_Vx3(skf5(u))*. % 0.18/0.46 5[0:Inp] || -> ca_Ax2(skf9(u))*. % 0.18/0.46 8[0:Inp] cUnsatisfiable(u) || -> cp1(u)*. % 0.18/0.46 13[0:Inp] cUnsatisfiable(u) || -> rr(u,skf5(u))*r. % 0.18/0.46 14[0:Inp] cp1(u) || ra_Px1(u,v)* -> . % 0.18/0.46 15[0:Inp] cp1xcomp(u) || -> ra_Px1(u,skf7(u))*. % 0.18/0.46 16[0:Inp] ca_Vx3(u) || -> rr(u,skf9(u))*r. % 0.18/0.46 20[0:Inp] || rr(u,v) -> rinvR(v,u)*. % 0.18/0.46 21[0:Inp] ca_Ax2(u) || rinvR(u,v)* -> cp1xcomp(v). % 0.18/0.46 23[0:Inp] ca_Ax2(u) || rr(v,u)*+ -> ca_Vx3(v)*. % 0.18/0.46 25[0:Inp] || rr(u,v)* rr(v,w)* -> rr(u,w)*. % 0.18/0.46 31[0:Res:15.1,14.1] cp1xcomp(u) cp1(u) || -> . % 0.18/0.46 37[0:Res:20.1,21.1] ca_Ax2(u) || rr(v,u)*+ -> cp1xcomp(v)*. % 0.18/0.46 42[0:NCh:25.2,25.1,23.1,16.1] ca_Ax2(skf9(u)) ca_Vx3(u) || rr(v,u)* -> ca_Vx3(v)*. % 0.18/0.46 47[0:SSi:42.0,5.0] ca_Vx3(u) || rr(v,u)*+ -> ca_Vx3(v)*. % 0.18/0.46 61[0:Res:16.1,37.1] ca_Vx3(u) ca_Ax2(skf9(u)) || -> cp1xcomp(u)*. % 0.18/0.46 67[0:SSi:61.1,5.0] ca_Vx3(u) || -> cp1xcomp(u)*. % 0.18/0.46 87[0:EmS:31.0,31.1,67.1,8.1] ca_Vx3(u) cUnsatisfiable(u) || -> . % 0.18/0.46 132[0:Res:13.1,47.1] cUnsatisfiable(u) ca_Vx3(skf5(u)) || -> ca_Vx3(u)*. % 0.18/0.46 140[0:SSi:132.1,4.0] cUnsatisfiable(u) || -> ca_Vx3(u)*. % 0.18/0.46 141[0:MRR:140.1,87.0] cUnsatisfiable(u) || -> . % 0.18/0.46 142[0:UnC:141.0,2.0] || -> . % 0.18/0.46 % SZS output end Refutation % 0.18/0.46 Formulae used in the proof : axiom_11 axiom_2 axiom_3 axiom_6 axiom_4 axiom_9 axiom_5 axiom_10 % 0.18/0.46 %------------------------------------------------------------------------------