%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : NUM450+6 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % Computer : n028.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 07:07:20 PM UTC 2026 % Result : Theorem 16.78s 16.85s % Output : Proof 16.78s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM450+6 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.12 % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % 0.15/0.32 % Computer : n028.cluster.edu % 0.15/0.32 % Model : x86_64 x86_64 % 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.32 % Memory : 8042.1875MB % 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.32 % CPULimit : 300 % 0.15/0.32 % WCLimit : 300 % 0.15/0.32 % DateTime : Mon May 11 13:19:47 EDT 2026 % 0.15/0.32 % CPUTime : % 16.78/16.85 % SZS status Theorem % 16.78/16.85 % SZS output start Proof % 16.78/16.85 % 16.78/16.85 =============================================================== % 16.78/16.85 TPTP Problem: m__ (conjecture with 45 axiom(s)) % 16.78/16.85 Axioms: [mIntegers,mIntZero,mIntOne,mIntNeg,mIntPlus,mIntMult,mAddAsso,mAddComm,mAddZero,mAddNeg,mMulAsso,mMulComm,mMulOne,mDistrib,mMulZero,mMulMinOne,mZeroDiv,mDivisor,mEquMod,mEquModRef,mEquModSym,mEquModTrn,mEquModMul,mPrime,mPrimeDivisor,mSets,mElements,mSubset,mFinSet,mUnion,mIntersection,mUnionSet,mComplement,mArSeq,mOpen,mClosed,mUnionOpen,mInterOpen,mUnionClosed,mUnionSClosed,mArSeqClosed,m__2046,m__2079,m__2117,m__2144] % 16.78/16.85 =============================================================== % 16.78/16.85 % 16.78/16.85 Combined formula: 45 axiom(s) => conjecture % 16.78/16.85 % 16.78/16.85 % Equality/functions detected -> nanoCoP oracle mode % 16.78/16.85 nanoCoP : % 16.78/16.85 % 19,159,951 inferences, 15.709 CPU in 15.709 seconds (100% CPU, 1219693 Lips) % 16.78/16.85 % 16.78/16.85 % nanoCoP proof (equality/functions) % 16.78/16.85 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 16.78/16.85 % 16.78/16.85 % SZS output end Proof %------------------------------------------------------------------------------