%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SET589+3 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n022.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 05:27:11 EDT 2022 % Result : Theorem 0.21s 0.45s % Output : Refutation 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET589+3 : TPTP v8.1.0. Released v2.2.0. % 0.03/0.13 % Command : run_spass %d %s % 0.13/0.34 % Computer : n022.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 : Sun Jul 10 12:53:25 EDT 2022 % 0.13/0.34 % CPUTime : % 0.21/0.45 % 0.21/0.45 SPASS V 3.9 % 0.21/0.45 SPASS beiseite: Proof found. % 0.21/0.45 % SZS status Theorem % 0.21/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.21/0.45 SPASS derived 12 clauses, backtracked 0 clauses, performed 0 splits and kept 22 clauses. % 0.21/0.45 SPASS allocated 85233 KBytes. % 0.21/0.45 SPASS spent 0:00:00.09 on the problem. % 0.21/0.45 0:00:00.04 for the input. % 0.21/0.45 0:00:00.03 for the FLOTTER CNF translation. % 0.21/0.45 0:00:00.00 for inferences. % 0.21/0.45 0:00:00.00 for the backtracking. % 0.21/0.45 0:00:00.00 for the reduction. % 0.21/0.45 % 0.21/0.45 % 0.21/0.45 Here is a proof with depth 2, length 10 : % 0.21/0.45 % SZS output start Refutation % 0.21/0.45 1[0:Inp] || -> subset(skc7,skc6)*r. % 0.21/0.45 2[0:Inp] || -> subset(skc4,skc5)*l. % 0.21/0.45 4[0:Inp] || subset(difference(skc7,skc5),difference(skc6,skc4))*r -> . % 0.21/0.45 9[0:Inp] || subset(u,v)* subset(v,w)* -> subset(u,w)*. % 0.21/0.45 10[0:Inp] || subset(u,v) -> subset(difference(u,w),difference(v,w))*. % 0.21/0.45 11[0:Inp] || subset(u,v) -> subset(difference(w,v),difference(w,u))*. % 0.21/0.45 14[0:Res:2.0,11.0] || -> subset(difference(u,skc5),difference(u,skc4))*r. % 0.21/0.45 18[0:Res:1.0,10.0] || -> subset(difference(skc7,u),difference(skc6,u))*r. % 0.21/0.45 26[0:NCh:9.2,9.1,4.0,18.0] || subset(difference(skc7,skc5),difference(skc7,skc4))*r -> . % 0.21/0.45 28[0:MRR:26.0,14.0] || -> . % 0.21/0.45 % SZS output end Refutation % 0.21/0.45 Formulae used in the proof : prove_th48 transitivity_of_subset difference_subset1 difference_subset2 % 0.21/0.45 %------------------------------------------------------------------------------