%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : SET027+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 : n019.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 07:10:06 PM UTC 2026 % Result : Theorem 18.05s 17.89s % Output : Proof 18.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET027+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 : n019.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 13:36:00 EDT 2026 % 0.16/0.34 % CPUTime : % 18.05/17.89 % SZS status Theorem % 18.05/17.89 % SZS output start Proof % 18.05/17.90 % 18.05/17.90 =============================================================== % 18.05/17.90 TPTP Problem: prove_transitivity_of_subset (conjecture with 2 axiom(s)) % 18.05/17.90 Axioms: [subset_defn,reflexivity_of_subset] % 18.05/17.90 =============================================================== % 18.05/17.90 % 18.05/17.90 Combined formula: 2 axiom(s) => conjecture % 18.05/17.90 % 18.05/17.90 nanoCoP : % 18.05/17.90 % 3,713 inferences, 0.002 CPU in 0.002 seconds (100% CPU, 1712292 Lips) % 18.05/17.90 g4mic : % 18.05/17.90 % 59,399,603 inferences, 16.944 CPU in 16.944 seconds (100% CPU, 3505567 Lips) % 18.05/17.90 % 18.05/17.90 % Logic level: not determined (G4+ inference limit exceeded) % 18.05/17.90 % To get proofs (sequent calculus G4 and natural deduction), you can use G4+ at https://g4-mic.vidal-rosset.net/wasm/tinker % 18.05/17.90 % 18.05/17.90 % SZS output end Proof %------------------------------------------------------------------------------