%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SEU122+2 : TPTP v8.1.0. Released v3.3.0. % 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 : Tue Jul 19 14:34:05 EDT 2022 % Result : Theorem 0.18s 0.44s % Output : Refutation 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : SEU122+2 : TPTP v8.1.0. Released v3.3.0. % 0.10/0.12 % Command : run_spass %d %s % 0.12/0.33 % Computer : n018.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 Jun 20 11:57:20 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.44 % 0.18/0.44 SPASS V 3.9 % 0.18/0.44 SPASS beiseite: Proof found. % 0.18/0.44 % SZS status Theorem % 0.18/0.44 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.18/0.44 SPASS derived 9 clauses, backtracked 0 clauses, performed 0 splits and kept 34 clauses. % 0.18/0.44 SPASS allocated 97998 KBytes. % 0.18/0.44 SPASS spent 0:00:00.10 on the problem. % 0.18/0.44 0:00:00.03 for the input. % 0.18/0.44 0:00:00.04 for the FLOTTER CNF translation. % 0.18/0.44 0:00:00.00 for inferences. % 0.18/0.44 0:00:00.00 for the backtracking. % 0.18/0.44 0:00:00.00 for the reduction. % 0.18/0.44 % 0.18/0.44 % 0.18/0.44 Here is a proof with depth 2, length 7 : % 0.18/0.44 % SZS output start Refutation % 0.18/0.44 1[0:Inp] || -> empty(empty_set)*. % 0.18/0.44 5[0:Inp] || subset(empty_set,skc3)*r -> . % 0.18/0.44 11[0:Inp] empty(u) || in(v,u)* -> . % 0.18/0.44 14[0:Inp] || -> subset(u,v) in(skf6(v,u),u)*. % 0.18/0.44 33[0:Res:14.1,5.0] || -> in(skf6(skc3,empty_set),empty_set)*. % 0.18/0.44 40[0:Res:33.0,11.1] empty(empty_set) || -> . % 0.18/0.44 42[0:SSi:40.0,1.0] || -> . % 0.18/0.44 % SZS output end Refutation % 0.18/0.44 Formulae used in the proof : fc1_xboole_0 t2_xboole_1 t7_boole d3_tarski % 0.18/0.44 %------------------------------------------------------------------------------