%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : RNG047+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % Computer : n026.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 07:09:30 PM UTC 2026 % Result : Theorem 1.41s 2.41s % Output : Proof 1.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG047+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % 0.16/0.34 % Computer : n026.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon May 11 13:33:09 EDT 2026 % 0.16/0.34 % CPUTime : % 1.41/2.41 % SZS status Theorem % 1.41/2.41 % SZS output start Proof % 1.41/2.41 % 1.41/2.41 =============================================================== % 1.41/2.41 TPTP Problem: m__ (conjecture with 34 axiom(s)) % 1.41/2.41 Axioms: [mNatSort,mZeroNat,mSuccNat,mNatExtr,mSuccEqu,mIHOrd,mIH,mScSort,mSZeroSc,mSumSc,mMulSc,mNegSc,mScZero,mArith,mDistr,mDistr2,mMNeg,mMDNeg,mLess,mLERef,mLEASm,mLETrn,mLEMon,mLEMonM,mLETot,mPosMon,mSqPos,mSqrt,mVcSort,mDimNat,mElmSc,mDefInit,m__1329,m__1329_01] % 1.41/2.41 =============================================================== % 1.41/2.41 % 1.41/2.41 Combined formula: 34 axiom(s) => conjecture % 1.41/2.41 % 1.41/2.41 % Equality/functions detected -> nanoCoP oracle mode % 1.41/2.41 nanoCoP : % 1.41/2.41 % 1,705,771 inferences, 0.865 CPU in 0.865 seconds (100% CPU, 1971249 Lips) % 1.41/2.41 % 1.41/2.41 % nanoCoP proof (equality/functions) % 1.41/2.41 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 1.41/2.41 % 1.41/2.41 % SZS output end Proof %------------------------------------------------------------------------------