%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SEU129+2 : TPTP v8.1.0. Released v3.3.0. % 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 : Tue Jul 19 14:34:10 EDT 2022 % Result : Theorem 0.21s 0.51s % Output : Refutation 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SEU129+2 : TPTP v8.1.0. Released v3.3.0. % 0.08/0.13 % Command : run_spass %d %s % 0.13/0.35 % Computer : n024.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 : Sun Jun 19 20:35:47 EDT 2022 % 0.13/0.35 % CPUTime : % 0.21/0.51 % 0.21/0.51 SPASS V 3.9 % 0.21/0.51 SPASS beiseite: Proof found. % 0.21/0.51 % SZS status Theorem % 0.21/0.51 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.21/0.51 SPASS derived 539 clauses, backtracked 0 clauses, performed 0 splits and kept 212 clauses. % 0.21/0.51 SPASS allocated 98281 KBytes. % 0.21/0.51 SPASS spent 0:00:00.14 on the problem. % 0.21/0.51 0:00:00.04 for the input. % 0.21/0.51 0:00:00.06 for the FLOTTER CNF translation. % 0.21/0.51 0:00:00.01 for inferences. % 0.21/0.51 0:00:00.00 for the backtracking. % 0.21/0.51 0:00:00.02 for the reduction. % 0.21/0.51 % 0.21/0.51 % 0.21/0.51 Here is a proof with depth 2, length 11 : % 0.21/0.51 % SZS output start Refutation % 0.21/0.51 3[0:Inp] || -> subset(skc5,skc6)*r. % 0.21/0.51 9[0:Inp] || -> subset(set_intersection2(u,v),u)*l. % 0.21/0.51 15[0:Inp] || -> equal(set_intersection2(u,v),set_intersection2(v,u))*. % 0.21/0.51 24[0:Inp] || subset(set_intersection2(skc5,skc7),set_intersection2(skc6,skc7))*r -> . % 0.21/0.51 39[0:Inp] || subset(u,v)* subset(v,w)* -> subset(u,w)*. % 0.21/0.51 45[0:Inp] || subset(u,v)* subset(u,w)* -> subset(u,set_intersection2(w,v))*. % 0.21/0.51 67[0:Res:45.2,24.0] || subset(set_intersection2(skc5,skc7),skc7)*l subset(set_intersection2(skc5,skc7),skc6) -> . % 0.21/0.51 215[0:SpR:15.0,9.0] || -> subset(set_intersection2(u,v),v)*l. % 0.21/0.51 220[0:MRR:67.0,215.0] || subset(set_intersection2(skc5,skc7),skc6)*l -> . % 0.21/0.51 650[0:NCh:39.2,39.0,220.0,9.0] || subset(skc5,skc6)*r -> . % 0.21/0.51 655[0:MRR:650.0,3.0] || -> . % 0.21/0.51 % SZS output end Refutation % 0.21/0.51 Formulae used in the proof : t26_xboole_1 t17_xboole_1 commutativity_k3_xboole_0 t1_xboole_1 t19_xboole_1 % 0.21/0.51 %------------------------------------------------------------------------------