%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : SET627+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 : n015.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 07:10:59 PM UTC 2026 % Result : Theorem 30.95s 30.31s % Output : Proof 30.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET627+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.15/0.34 % Computer : n015.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon May 11 13:40:32 EDT 2026 % 0.15/0.34 % CPUTime : % 30.95/30.31 % SZS status Theorem % 30.95/30.32 % SZS output start Proof % 30.95/30.32 % 30.95/30.32 =============================================================== % 30.95/30.32 TPTP Problem: prove_th104 (conjecture with 5 axiom(s)) % 30.95/30.32 Axioms: [empty_set_defn,intersect_defn,disjoint_defn,symmetry_of_intersect,empty_defn] % 30.95/30.32 =============================================================== % 30.95/30.32 % 30.95/30.32 Combined formula: 5 axiom(s) => conjecture % 30.95/30.32 % 30.95/30.32 nanoCoP : % 30.95/30.32 % 3,328 inferences, 0.002 CPU in 0.002 seconds (100% CPU, 1662262 Lips) % 30.95/30.32 g4mic : % 30.95/30.32 % 96,326,057 inferences, 29.366 CPU in 29.372 seconds (100% CPU, 3280159 Lips) % 30.95/30.32 % 30.95/30.32 % Logic level: not determined (G4+ inference limit exceeded) % 30.95/30.32 % To get proofs (sequent calculus G4 and natural deduction), you can use G4+ at https://g4-mic.vidal-rosset.net/wasm/tinker % 30.95/30.32 % 30.95/30.32 % SZS output end Proof %------------------------------------------------------------------------------