%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : KLE075+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % Computer : n023.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 07:03:08 PM UTC 2026 % Result : Theorem 1.69s 2.40s % Output : Proof 1.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE075+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.12 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.16/0.33 % Computer : n023.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 12:24:40 EDT 2026 % 0.16/0.33 % CPUTime : % 1.69/2.40 % SZS status Theorem % 1.69/2.40 % SZS output start Proof % 1.69/2.41 % 1.69/2.41 =============================================================== % 1.69/2.41 TPTP Problem: goals (conjecture with 17 axiom(s)) % 1.69/2.41 Axioms: [additive_commutativity,additive_associativity,additive_identity,additive_idempotence,multiplicative_associativity,multiplicative_right_identity,multiplicative_left_identity,right_distributivity,left_distributivity,right_annihilation,left_annihilation,order,domain1,domain2,domain3,domain4,domain5] % 1.69/2.41 =============================================================== % 1.69/2.41 % 1.69/2.41 Combined formula: 17 axiom(s) => conjecture % 1.69/2.41 % 1.69/2.41 % Equality/functions detected -> nanoCoP oracle mode % 1.69/2.41 nanoCoP : % 1.69/2.41 % 3,682,591 inferences, 1.167 CPU in 1.169 seconds (100% CPU, 3154606 Lips) % 1.69/2.41 % 1.69/2.41 % nanoCoP proof (equality/functions) % 1.69/2.41 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 1.69/2.41 % 1.69/2.41 % SZS output end Proof %------------------------------------------------------------------------------