%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : SET062+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % Computer : n009.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 : 300s % DateTime : Tue May 12 07:10:12 PM UTC 2026 % Result : Theorem 1.29s 2.40s % Output : Proof 1.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET062+3 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.12 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.16/0.33 % Computer : n009.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Mon May 11 13:36:41 EDT 2026 % 0.16/0.34 % CPUTime : % 1.29/2.40 % SZS status Theorem % 1.29/2.40 % SZS output start Proof % 1.29/2.41 % 1.29/2.41 =============================================================== % 1.29/2.41 TPTP Problem: prove_empty_set_subset (conjecture with 4 axiom(s)) % 1.29/2.41 Axioms: [empty_set_defn,subset_defn,reflexivity_of_subset,empty_defn] % 1.29/2.41 =============================================================== % 1.29/2.41 % 1.29/2.41 Combined formula: 4 axiom(s) => conjecture % 1.29/2.41 % 1.29/2.41 nanoCoP : % 1.29/2.41 % 1,709 inferences, 0.001 CPU in 0.001 seconds (100% CPU, 2634687 Lips) % 1.29/2.41 g4mic : % 1.29/2.41 % 2,371,285 inferences, 0.752 CPU in 0.752 seconds (100% CPU, 3154352 Lips) % 1.29/2.41 % 1.29/2.41 % Logic level: valid in classical logic. % 1.29/2.41 % To get proofs (sequent calculus G4 and natural deduction), you can use G4+ at https://g4-mic.vidal-rosset.net/wasm/tinker % 1.29/2.41 % 1.29/2.41 % SZS output end Proof %------------------------------------------------------------------------------