%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : RNG072+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 : n016.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 07:09:33 PM UTC 2026 % Result : Theorem 0.57s 1.36s % Output : Proof 0.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : RNG072+2 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.12 % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % 0.13/0.33 % Computer : n016.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Mon May 11 13:33:52 EDT 2026 % 0.13/0.33 % CPUTime : % 0.57/1.36 % SZS status Theorem % 0.57/1.36 % SZS output start Proof % 0.57/1.36 % 0.57/1.36 =============================================================== % 0.57/1.36 TPTP Problem: m__ (conjecture with 62 axiom(s)) % 0.57/1.36 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,mEqInit,mScPr,mDefSPZ,mDefSPN,mScSqPos,m__1678,m__1652,m__1678_01,m__1692,m__1709,m__1726,m__1746,m__1766,m__1783,m__1800,m__1820,m__1837,m__1854,m__1873,m__1892,m__1911,m__1930,m__1949,m__1967,m__2004,m__2104,m__2405,m__2590,m__2610,m__2628] % 0.57/1.36 =============================================================== % 0.57/1.36 % 0.57/1.36 Combined formula: 62 axiom(s) => conjecture % 0.57/1.36 % 0.57/1.36 % Equality/functions detected -> nanoCoP oracle mode % 0.57/1.36 nanoCoP : % 0.57/1.36 % 65,087 inferences, 0.040 CPU in 0.040 seconds (100% CPU, 1610702 Lips) % 0.57/1.36 % 0.57/1.36 % nanoCoP proof (equality/functions) % 0.57/1.36 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 0.57/1.36 % 0.57/1.36 % SZS output end Proof %------------------------------------------------------------------------------