%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SET932+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n005.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 05:29:55 EDT 2022 % Result : Theorem 0.19s 0.46s % Output : Refutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SET932+1 : TPTP v8.1.0. Released v3.2.0. % 0.11/0.12 % Command : run_spass %d %s % 0.12/0.33 % Computer : n005.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jul 11 05:13:52 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.46 % 0.19/0.46 SPASS V 3.9 % 0.19/0.46 SPASS beiseite: Proof found. % 0.19/0.46 % SZS status Theorem % 0.19/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.46 SPASS derived 199 clauses, backtracked 0 clauses, performed 0 splits and kept 122 clauses. % 0.19/0.46 SPASS allocated 85312 KBytes. % 0.19/0.46 SPASS spent 0:00:00.11 on the problem. % 0.19/0.46 0:00:00.03 for the input. % 0.19/0.46 0:00:00.03 for the FLOTTER CNF translation. % 0.19/0.46 0:00:00.01 for inferences. % 0.19/0.46 0:00:00.00 for the backtracking. % 0.19/0.46 0:00:00.02 for the reduction. % 0.19/0.46 % 0.19/0.46 % 0.19/0.46 Here is a proof with depth 4, length 15 : % 0.19/0.46 % SZS output start Refutation % 0.19/0.46 2[0:Inp] || -> subset(skc4,skc5)*r. % 0.19/0.46 5[0:Inp] || subset(powerset(skc4),powerset(skc5))*r -> . % 0.19/0.46 7[0:Inp] || -> subset(u,v) in(skf3(v,u),u)*. % 0.19/0.46 8[0:Inp] || in(skf3(u,v),u)*+ -> subset(w,u)*. % 0.19/0.46 10[0:Inp] || subset(u,v)* subset(v,w)* -> subset(u,w)*. % 0.19/0.46 11[0:Inp] || in(u,v)* equal(v,powerset(w))*+ -> subset(u,w)*. % 0.19/0.46 12[0:Inp] || subset(u,v)*+ equal(w,powerset(v))* -> in(u,w)*. % 0.19/0.46 38[0:EqR:11.1] || in(u,powerset(v))* -> subset(u,v). % 0.19/0.46 44[0:Res:7.1,38.0] || -> subset(powerset(u),v) subset(skf3(v,powerset(u)),u)*l. % 0.19/0.46 48[0:NCh:10.2,10.1,12.0,2.0] || subset(u,skc4) equal(v,powerset(skc5)) -> in(u,v)*. % 0.19/0.46 117[0:Res:48.2,8.0] || subset(skf3(u,v),skc4)*l+ equal(u,powerset(skc5)) -> subset(w,u)*. % 0.19/0.46 222[0:Res:44.1,117.0] || equal(u,powerset(skc5))* -> subset(powerset(skc4),u) subset(v,u)*. % 0.19/0.46 225[0:Con:222.2] || equal(u,powerset(skc5))* -> subset(powerset(skc4),u). % 0.19/0.46 228[0:EqR:225.0] || -> subset(powerset(skc4),powerset(skc5))*r. % 0.19/0.46 229[0:MRR:228.0,5.0] || -> . % 0.19/0.46 % SZS output end Refutation % 0.19/0.46 Formulae used in the proof : t79_zfmisc_1 d3_tarski t1_xboole_1 d1_zfmisc_1 % 0.19/0.46 %------------------------------------------------------------------------------