%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : KLE150+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % Computer : n011.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 07:03:13 PM UTC 2026 % Result : Theorem 23.81s 24.06s % Output : Proof 23.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.09 % Problem : KLE150+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.10 % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % 0.13/0.30 % Computer : n011.cluster.edu % 0.13/0.30 % Model : x86_64 x86_64 % 0.13/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.30 % Memory : 8042.1875MB % 0.13/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.30 % CPULimit : 300 % 0.13/0.30 % WCLimit : 300 % 0.13/0.30 % DateTime : Mon May 11 12:24:33 EDT 2026 % 0.13/0.30 % CPUTime : % 23.81/24.06 % SZS status Theorem % 23.81/24.06 % SZS output start Proof % 23.81/24.06 % 23.81/24.06 =============================================================== % 23.81/24.06 TPTP Problem: goals (conjecture with 18 axiom(s)) % 23.81/24.06 Axioms: [additive_commutativity,additive_associativity,additive_identity,idempotence,multiplicative_associativity,multiplicative_right_identity,multiplicative_left_identity,distributivity1,distributivity2,left_annihilation,star_unfold1,star_unfold2,star_induction1,star_induction2,infty_unfold1,infty_coinduction,isolation,order] % 23.81/24.06 =============================================================== % 23.81/24.06 % 23.81/24.06 Combined formula: 18 axiom(s) => conjecture % 23.81/24.06 % 23.81/24.06 % Equality/functions detected -> nanoCoP oracle mode % 23.81/24.06 nanoCoP : % 23.81/24.06 % 75,546,984 inferences, 22.530 CPU in 22.530 seconds (100% CPU, 3353123 Lips) % 23.81/24.06 % 23.81/24.06 % nanoCoP proof (equality/functions) % 23.81/24.06 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 23.81/24.06 % 23.81/24.06 % SZS output end Proof %------------------------------------------------------------------------------