%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : NUM521+1 : TPTP v8.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n032.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 : Mon Jun 24 12:24:48 EDT 2024 % Result : Theorem 1.06s 1.16s % Output : CNFRefutation 1.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.09 % Problem : NUM521+1 : TPTP v8.2.0. Released v4.0.0. % 0.05/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.08/0.28 % Computer : n032.cluster.edu % 0.08/0.28 % Model : x86_64 x86_64 % 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.28 % Memory : 8042.1875MB % 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.28 % CPULimit : 300 % 0.08/0.28 % WCLimit : 300 % 0.08/0.28 % DateTime : Sun Jun 23 02:44:23 EDT 2024 % 0.08/0.28 % CPUTime : % 0.13/0.46 start to proof:theBenchmark % 1.06/1.15 %------------------------------------------- % 1.06/1.15 % File :CSE---1.7 % 1.06/1.15 % Problem :theBenchmark % 1.06/1.15 % Transform :cnf % 1.06/1.15 % Format :tptp:raw % 1.06/1.15 % Command :java -jar mcs_scs.jar %d %s % 1.06/1.15 % 1.06/1.15 % Result :Theorem 0.640000s % 1.06/1.15 % Output :CNFRefutation 0.640000s % 1.06/1.15 %------------------------------------------- % 1.06/1.15 %------------------------------------------------------------------------------ % 1.06/1.15 % File : NUM521+1 : TPTP v8.2.0. Released v4.0.0. % 1.06/1.15 % Domain : Number Theory % 1.06/1.15 % Problem : Square root of a prime is irrational 14_04, 00 expansion % 1.06/1.15 % Version : Especial. % 1.06/1.15 % English : % 1.06/1.15 % 1.06/1.15 % Refs : [LPV06] Lyaletski et al. (2006), SAD as a Mathematical Assista % 1.06/1.15 % : [VLP07] Verchinine et al. (2007), System for Automated Deduction % 1.06/1.15 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe % 1.06/1.15 % Source : [Pas08] % 1.06/1.15 % Names : primes_14_04.00 [Pas08] % 1.06/1.15 % 1.06/1.15 % Status : ContradictoryAxioms % 1.06/1.15 % Rating : 0.25 v8.2.0, 0.22 v7.5.0, 0.25 v7.4.0, 0.43 v7.3.0, 0.00 v7.0.0, 0.17 v6.4.0, 0.19 v6.3.0, 0.12 v6.1.0, 0.23 v6.0.0, 0.26 v5.5.0, 0.33 v5.4.0, 0.36 v5.3.0, 0.41 v5.2.0, 0.25 v5.1.0, 0.33 v4.1.0, 0.39 v4.0.1, 0.74 v4.0.0 % 1.06/1.15 % Syntax : Number of formulae : 45 ( 3 unt; 5 def) % 1.06/1.15 % Number of atoms : 204 ( 58 equ) % 1.06/1.15 % Maximal formula atoms : 10 ( 4 avg) % 1.06/1.15 % Number of connectives : 184 ( 25 ~; 9 |; 83 &) % 1.06/1.15 % ( 5 <=>; 62 =>; 0 <=; 0 <~>) % 1.06/1.15 % Maximal formula depth : 11 ( 6 avg) % 1.06/1.15 % Maximal term depth : 3 ( 1 avg) % 1.06/1.15 % Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty) % 1.06/1.15 % Number of functors : 9 ( 9 usr; 5 con; 0-2 aty) % 1.06/1.15 % Number of variables : 85 ( 82 !; 3 ?) % 1.06/1.15 % SPC : FOF_CAX_RFO_SEQ % 1.06/1.15 % 1.06/1.15 % Comments : Problem generated by the SAD system [VLP07] % 1.06/1.15 %------------------------------------------------------------------------------ % 1.06/1.15 fof(mNatSort,axiom, % 1.06/1.15 ! [W0] : % 1.06/1.15 ( aNaturalNumber0(W0) % 1.06/1.15 => $true ) ). % 1.06/1.15 % 1.06/1.15 fof(mSortsC,axiom, % 1.06/1.15 aNaturalNumber0(sz00) ). % 1.06/1.15 % 1.06/1.15 fof(mSortsC_01,axiom, % 1.06/1.15 ( aNaturalNumber0(sz10) % 1.06/1.15 & sz10 != sz00 ) ). % 1.06/1.15 % 1.06/1.15 fof(mSortsB,axiom, % 1.06/1.15 ! [W0,W1] : % 1.06/1.15 ( ( aNaturalNumber0(W0) % 1.06/1.15 & aNaturalNumber0(W1) ) % 1.06/1.15 => aNaturalNumber0(sdtpldt0(W0,W1)) ) ). % 1.06/1.15 % 1.06/1.15 fof(mSortsB_02,axiom, % 1.06/1.15 ! [W0,W1] : % 1.06/1.15 ( ( aNaturalNumber0(W0) % 1.06/1.15 & aNaturalNumber0(W1) ) % 1.06/1.15 => aNaturalNumber0(sdtasdt0(W0,W1)) ) ). % 1.06/1.15 % 1.06/1.15 fof(mAddComm,axiom, % 1.06/1.15 ! [W0,W1] : % 1.06/1.15 ( ( aNaturalNumber0(W0) % 1.06/1.15 & aNaturalNumber0(W1) ) % 1.06/1.15 => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ). % 1.06/1.15 % 1.06/1.15 fof(mAddAsso,axiom, % 1.06/1.15 ! [W0,W1,W2] : % 1.06/1.15 ( ( aNaturalNumber0(W0) % 1.06/1.15 & aNaturalNumber0(W1) % 1.06/1.15 & aNaturalNumber0(W2) ) % 1.06/1.15 => sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ). % 1.06/1.15 % 1.06/1.15 fof(m_AddZero,axiom, % 1.06/1.15 ! [W0] : % 1.06/1.15 ( aNaturalNumber0(W0) % 1.06/1.15 => ( sdtpldt0(W0,sz00) = W0 % 1.06/1.15 & W0 = sdtpldt0(sz00,W0) ) ) ). % 1.06/1.15 % 1.06/1.15 fof(mMulComm,axiom, % 1.06/1.15 ! [W0,W1] : % 1.06/1.15 ( ( aNaturalNumber0(W0) % 1.06/1.15 & aNaturalNumber0(W1) ) % 1.06/1.15 => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ). % 1.06/1.16 % 1.06/1.16 fof(mMulAsso,axiom, % 1.06/1.16 ! [W0,W1,W2] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & aNaturalNumber0(W1) % 1.06/1.16 & aNaturalNumber0(W2) ) % 1.06/1.16 => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ). % 1.06/1.16 % 1.06/1.16 fof(m_MulUnit,axiom, % 1.06/1.16 ! [W0] : % 1.06/1.16 ( aNaturalNumber0(W0) % 1.06/1.16 => ( sdtasdt0(W0,sz10) = W0 % 1.06/1.16 & W0 = sdtasdt0(sz10,W0) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(m_MulZero,axiom, % 1.06/1.16 ! [W0] : % 1.06/1.16 ( aNaturalNumber0(W0) % 1.06/1.16 => ( sdtasdt0(W0,sz00) = sz00 % 1.06/1.16 & sz00 = sdtasdt0(sz00,W0) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mAMDistr,axiom, % 1.06/1.16 ! [W0,W1,W2] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & aNaturalNumber0(W1) % 1.06/1.16 & aNaturalNumber0(W2) ) % 1.06/1.16 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)) % 1.06/1.16 & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mAddCanc,axiom, % 1.06/1.16 ! [W0,W1,W2] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & aNaturalNumber0(W1) % 1.06/1.16 & aNaturalNumber0(W2) ) % 1.06/1.16 => ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2) % 1.06/1.16 | sdtpldt0(W1,W0) = sdtpldt0(W2,W0) ) % 1.06/1.16 => W1 = W2 ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mMulCanc,axiom, % 1.06/1.16 ! [W0] : % 1.06/1.16 ( aNaturalNumber0(W0) % 1.06/1.16 => ( W0 != sz00 % 1.06/1.16 => ! [W1,W2] : % 1.06/1.16 ( ( aNaturalNumber0(W1) % 1.06/1.16 & aNaturalNumber0(W2) ) % 1.06/1.16 => ( ( sdtasdt0(W0,W1) = sdtasdt0(W0,W2) % 1.06/1.16 | sdtasdt0(W1,W0) = sdtasdt0(W2,W0) ) % 1.06/1.16 => W1 = W2 ) ) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mZeroAdd,axiom, % 1.06/1.16 ! [W0,W1] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & aNaturalNumber0(W1) ) % 1.06/1.16 => ( sdtpldt0(W0,W1) = sz00 % 1.06/1.16 => ( W0 = sz00 % 1.06/1.16 & W1 = sz00 ) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mZeroMul,axiom, % 1.06/1.16 ! [W0,W1] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & aNaturalNumber0(W1) ) % 1.06/1.16 => ( sdtasdt0(W0,W1) = sz00 % 1.06/1.16 => ( W0 = sz00 % 1.06/1.16 | W1 = sz00 ) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mDefLE,definition, % 1.06/1.16 ! [W0,W1] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & aNaturalNumber0(W1) ) % 1.06/1.16 => ( sdtlseqdt0(W0,W1) % 1.06/1.16 <=> ? [W2] : % 1.06/1.16 ( aNaturalNumber0(W2) % 1.06/1.16 & sdtpldt0(W0,W2) = W1 ) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mDefDiff,definition, % 1.06/1.16 ! [W0,W1] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & aNaturalNumber0(W1) ) % 1.06/1.16 => ( sdtlseqdt0(W0,W1) % 1.06/1.16 => ! [W2] : % 1.06/1.16 ( W2 = sdtmndt0(W1,W0) % 1.06/1.16 <=> ( aNaturalNumber0(W2) % 1.06/1.16 & sdtpldt0(W0,W2) = W1 ) ) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mLERefl,axiom, % 1.06/1.16 ! [W0] : % 1.06/1.16 ( aNaturalNumber0(W0) % 1.06/1.16 => sdtlseqdt0(W0,W0) ) ). % 1.06/1.16 % 1.06/1.16 fof(mLEAsym,axiom, % 1.06/1.16 ! [W0,W1] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & aNaturalNumber0(W1) ) % 1.06/1.16 => ( ( sdtlseqdt0(W0,W1) % 1.06/1.16 & sdtlseqdt0(W1,W0) ) % 1.06/1.16 => W0 = W1 ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mLETran,axiom, % 1.06/1.16 ! [W0,W1,W2] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & aNaturalNumber0(W1) % 1.06/1.16 & aNaturalNumber0(W2) ) % 1.06/1.16 => ( ( sdtlseqdt0(W0,W1) % 1.06/1.16 & sdtlseqdt0(W1,W2) ) % 1.06/1.16 => sdtlseqdt0(W0,W2) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mLETotal,axiom, % 1.06/1.16 ! [W0,W1] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & aNaturalNumber0(W1) ) % 1.06/1.16 => ( sdtlseqdt0(W0,W1) % 1.06/1.16 | ( W1 != W0 % 1.06/1.16 & sdtlseqdt0(W1,W0) ) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mMonAdd,axiom, % 1.06/1.16 ! [W0,W1] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & aNaturalNumber0(W1) ) % 1.06/1.16 => ( ( W0 != W1 % 1.06/1.16 & sdtlseqdt0(W0,W1) ) % 1.06/1.16 => ! [W2] : % 1.06/1.16 ( aNaturalNumber0(W2) % 1.06/1.16 => ( sdtpldt0(W2,W0) != sdtpldt0(W2,W1) % 1.06/1.16 & sdtlseqdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1)) % 1.06/1.16 & sdtpldt0(W0,W2) != sdtpldt0(W1,W2) % 1.06/1.16 & sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)) ) ) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mMonMul,axiom, % 1.06/1.16 ! [W0,W1,W2] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & aNaturalNumber0(W1) % 1.06/1.16 & aNaturalNumber0(W2) ) % 1.06/1.16 => ( ( W0 != sz00 % 1.06/1.16 & W1 != W2 % 1.06/1.16 & sdtlseqdt0(W1,W2) ) % 1.06/1.16 => ( sdtasdt0(W0,W1) != sdtasdt0(W0,W2) % 1.06/1.16 & sdtlseqdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)) % 1.06/1.16 & sdtasdt0(W1,W0) != sdtasdt0(W2,W0) % 1.06/1.16 & sdtlseqdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mLENTr,axiom, % 1.06/1.16 ! [W0] : % 1.06/1.16 ( aNaturalNumber0(W0) % 1.06/1.16 => ( W0 = sz00 % 1.06/1.16 | W0 = sz10 % 1.06/1.16 | ( sz10 != W0 % 1.06/1.16 & sdtlseqdt0(sz10,W0) ) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mMonMul2,axiom, % 1.06/1.16 ! [W0,W1] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & aNaturalNumber0(W1) ) % 1.06/1.16 => ( W0 != sz00 % 1.06/1.16 => sdtlseqdt0(W1,sdtasdt0(W1,W0)) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mIH,axiom, % 1.06/1.16 ! [W0,W1] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & aNaturalNumber0(W1) ) % 1.06/1.16 => ( iLess0(W0,W1) % 1.06/1.16 => $true ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mIH_03,axiom, % 1.06/1.16 ! [W0,W1] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & aNaturalNumber0(W1) ) % 1.06/1.16 => ( ( W0 != W1 % 1.06/1.16 & sdtlseqdt0(W0,W1) ) % 1.06/1.16 => iLess0(W0,W1) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mDefDiv,definition, % 1.06/1.16 ! [W0,W1] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & aNaturalNumber0(W1) ) % 1.06/1.16 => ( doDivides0(W0,W1) % 1.06/1.16 <=> ? [W2] : % 1.06/1.16 ( aNaturalNumber0(W2) % 1.06/1.16 & W1 = sdtasdt0(W0,W2) ) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mDefQuot,definition, % 1.06/1.16 ! [W0,W1] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & aNaturalNumber0(W1) ) % 1.06/1.16 => ( ( W0 != sz00 % 1.06/1.16 & doDivides0(W0,W1) ) % 1.06/1.16 => ! [W2] : % 1.06/1.16 ( W2 = sdtsldt0(W1,W0) % 1.06/1.16 <=> ( aNaturalNumber0(W2) % 1.06/1.16 & W1 = sdtasdt0(W0,W2) ) ) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mDivTrans,axiom, % 1.06/1.16 ! [W0,W1,W2] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & aNaturalNumber0(W1) % 1.06/1.16 & aNaturalNumber0(W2) ) % 1.06/1.16 => ( ( doDivides0(W0,W1) % 1.06/1.16 & doDivides0(W1,W2) ) % 1.06/1.16 => doDivides0(W0,W2) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mDivSum,axiom, % 1.06/1.16 ! [W0,W1,W2] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & aNaturalNumber0(W1) % 1.06/1.16 & aNaturalNumber0(W2) ) % 1.06/1.16 => ( ( doDivides0(W0,W1) % 1.06/1.16 & doDivides0(W0,W2) ) % 1.06/1.16 => doDivides0(W0,sdtpldt0(W1,W2)) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mDivMin,axiom, % 1.06/1.16 ! [W0,W1,W2] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & aNaturalNumber0(W1) % 1.06/1.16 & aNaturalNumber0(W2) ) % 1.06/1.16 => ( ( doDivides0(W0,W1) % 1.06/1.16 & doDivides0(W0,sdtpldt0(W1,W2)) ) % 1.06/1.16 => doDivides0(W0,W2) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mDivLE,axiom, % 1.06/1.16 ! [W0,W1] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & aNaturalNumber0(W1) ) % 1.06/1.16 => ( ( doDivides0(W0,W1) % 1.06/1.16 & W1 != sz00 ) % 1.06/1.16 => sdtlseqdt0(W0,W1) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mDivAsso,axiom, % 1.06/1.16 ! [W0,W1] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & aNaturalNumber0(W1) ) % 1.06/1.16 => ( ( W0 != sz00 % 1.06/1.16 & doDivides0(W0,W1) ) % 1.06/1.16 => ! [W2] : % 1.06/1.16 ( aNaturalNumber0(W2) % 1.06/1.16 => sdtasdt0(W2,sdtsldt0(W1,W0)) = sdtsldt0(sdtasdt0(W2,W1),W0) ) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mDefPrime,definition, % 1.06/1.16 ! [W0] : % 1.06/1.16 ( aNaturalNumber0(W0) % 1.06/1.16 => ( isPrime0(W0) % 1.06/1.16 <=> ( W0 != sz00 % 1.06/1.16 & W0 != sz10 % 1.06/1.16 & ! [W1] : % 1.06/1.16 ( ( aNaturalNumber0(W1) % 1.06/1.16 & doDivides0(W1,W0) ) % 1.06/1.16 => ( W1 = sz10 % 1.06/1.16 | W1 = W0 ) ) ) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(mPrimDiv,axiom, % 1.06/1.16 ! [W0] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & W0 != sz00 % 1.06/1.16 & W0 != sz10 ) % 1.06/1.16 => ? [W1] : % 1.06/1.16 ( aNaturalNumber0(W1) % 1.06/1.16 & doDivides0(W1,W0) % 1.06/1.16 & isPrime0(W1) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(m__1837,hypothesis, % 1.06/1.16 ( aNaturalNumber0(xn) % 1.06/1.16 & aNaturalNumber0(xm) % 1.06/1.16 & aNaturalNumber0(xp) ) ). % 1.06/1.16 % 1.06/1.16 fof(m__1799,hypothesis, % 1.06/1.16 ! [W0,W1,W2] : % 1.06/1.16 ( ( aNaturalNumber0(W0) % 1.06/1.16 & aNaturalNumber0(W1) % 1.06/1.16 & aNaturalNumber0(W2) ) % 1.06/1.16 => ( ( isPrime0(W2) % 1.06/1.16 & doDivides0(W2,sdtasdt0(W0,W1)) ) % 1.06/1.16 => ( iLess0(sdtpldt0(sdtpldt0(W0,W1),W2),sdtpldt0(sdtpldt0(xn,xm),xp)) % 1.06/1.16 => ( doDivides0(W2,W0) % 1.06/1.16 | doDivides0(W2,W1) ) ) ) ) ). % 1.06/1.16 % 1.06/1.16 fof(m__1860,hypothesis, % 1.06/1.16 ( isPrime0(xp) % 1.06/1.16 & doDivides0(xp,sdtasdt0(xn,xm)) ) ). % 1.06/1.16 % 1.06/1.16 fof(m__1870,hypothesis, % 1.06/1.16 ~ sdtlseqdt0(xp,xn) ). % 1.06/1.16 % 1.06/1.16 fof(m__2075,hypothesis, % 1.06/1.16 ~ sdtlseqdt0(xp,xm) ). % 1.06/1.16 % 1.06/1.16 fof(m__2287,hypothesis, % 1.06/1.16 ~ ( xn != xp % 1.06/1.16 & sdtlseqdt0(xn,xp) % 1.06/1.16 & xm != xp % 1.06/1.16 & sdtlseqdt0(xm,xp) ) ). % 1.06/1.16 % 1.06/1.16 fof(m__,conjecture, % 1.06/1.16 ( doDivides0(xp,xn) % 1.06/1.16 | doDivides0(xp,xm) ) ). % 1.06/1.16 % 1.06/1.16 %------------------------------------------------------------------------------ % 1.06/1.16 %------------------------------------------- % 1.06/1.16 % Proof found % 1.06/1.16 % SZS status Theorem for theBenchmark % 1.06/1.16 % SZS output start Proof % 1.06/1.16 %ClaNum:103(EqnAxiom:25) % 1.06/1.16 %VarNum:440(SingletonVarNum:131) % 1.06/1.16 %MaxLitNum:8 % 1.06/1.16 %MaxfuncDepth:2 % 1.06/1.16 %SharedTerms:24 % 1.06/1.16 %goalClause: 36 37 % 1.06/1.16 %singleGoalClaCount:2 % 1.06/1.16 [26]P1(a1) % 1.06/1.16 [27]P1(a10) % 1.06/1.16 [28]P1(a11) % 1.06/1.16 [29]P1(a12) % 1.06/1.16 [30]P1(a13) % 1.06/1.16 [31]P2(a13) % 1.06/1.16 [33]~E(a1,a10) % 1.06/1.16 [34]~P5(a13,a11) % 1.06/1.16 [35]~P5(a13,a12) % 1.06/1.16 [36]~P3(a13,a11) % 1.06/1.16 [37]~P3(a13,a12) % 1.06/1.16 [32]P3(a13,f2(a11,a12)) % 1.06/1.16 [48]~P1(x481)+P5(x481,x481) % 1.06/1.16 [40]~P1(x401)+E(f2(a1,x401),a1) % 1.06/1.16 [41]~P1(x411)+E(f2(x411,a1),a1) % 1.06/1.16 [42]~P1(x421)+E(f7(a1,x421),x421) % 1.06/1.16 [43]~P1(x431)+E(f2(a10,x431),x431) % 1.06/1.16 [44]~P1(x441)+E(f7(x441,a1),x441) % 1.06/1.16 [45]~P1(x451)+E(f2(x451,a10),x451) % 1.06/1.16 [38]~P1(x381)+~P2(x381)+~E(x381,a1) % 1.06/1.16 [39]~P1(x391)+~P2(x391)+~E(x391,a10) % 1.06/1.16 [60]~P1(x602)+~P1(x601)+E(f7(x601,x602),f7(x602,x601)) % 1.06/1.16 [61]~P1(x612)+~P1(x611)+E(f2(x611,x612),f2(x612,x611)) % 1.06/1.16 [63]~P1(x632)+~P1(x631)+P1(f7(x631,x632)) % 1.06/1.16 [64]~P1(x642)+~P1(x641)+P1(f2(x641,x642)) % 1.06/1.16 [56]E(a13,a11)+E(a13,a12)+~P5(a11,a13)+~P5(a12,a13) % 1.06/1.16 [50]~P1(x501)+E(x501,a10)+P5(a10,x501)+E(x501,a1) % 1.06/1.16 [46]~P1(x461)+E(x461,a10)+E(x461,a1)+P1(f3(x461)) % 1.06/1.16 [47]~P1(x471)+E(x471,a10)+E(x471,a1)+P2(f3(x471)) % 1.06/1.16 [53]~P1(x531)+E(x531,a10)+P3(f3(x531),x531)+E(x531,a1) % 1.06/1.16 [54]~E(x542,x541)+~P1(x541)+~P1(x542)+P5(x541,x542) % 1.06/1.16 [62]P5(x622,x621)+~P1(x621)+~P1(x622)+P5(x621,x622) % 1.06/1.16 [57]~P1(x572)+~P1(x571)+E(x571,a1)+~E(f7(x572,x571),a1) % 1.06/1.16 [58]~P1(x582)+~P1(x581)+E(x581,a1)+~E(f7(x581,x582),a1) % 1.06/1.16 [68]~P1(x682)+~P1(x681)+P5(x682,f2(x682,x681))+E(x681,a1) % 1.06/1.16 [74]~P1(x742)+~P1(x741)+~P5(x741,x742)+P1(f5(x741,x742)) % 1.06/1.16 [75]~P1(x752)+~P1(x751)+~P3(x751,x752)+P1(f6(x751,x752)) % 1.06/1.16 [82]~P1(x821)+~P1(x822)+~P3(x821,x822)+E(f2(x821,f6(x821,x822)),x822) % 1.06/1.16 [83]~P1(x832)+~P1(x831)+~P5(x831,x832)+E(f7(x831,f5(x831,x832)),x832) % 1.06/1.16 [92]~P1(x923)+~P1(x922)+~P1(x921)+E(f7(f7(x921,x922),x923),f7(x921,f7(x922,x923))) % 1.06/1.16 [93]~P1(x933)+~P1(x932)+~P1(x931)+E(f2(f2(x931,x932),x933),f2(x931,f2(x932,x933))) % 1.06/1.16 [101]~P1(x1013)+~P1(x1012)+~P1(x1011)+E(f7(f2(x1011,x1012),f2(x1011,x1013)),f2(x1011,f7(x1012,x1013))) % 1.06/1.16 [102]~P1(x1022)+~P1(x1023)+~P1(x1021)+E(f7(f2(x1021,x1022),f2(x1023,x1022)),f2(f7(x1021,x1023),x1022)) % 1.06/1.16 [49]P2(x491)+~P1(x491)+E(x491,a10)+E(x491,a1)+~E(f4(x491),a10) % 1.06/1.16 [51]P2(x511)+~P1(x511)+E(x511,a10)+~E(f4(x511),x511)+E(x511,a1) % 1.06/1.16 [52]P2(x521)+~P1(x521)+E(x521,a10)+E(x521,a1)+P1(f4(x521)) % 1.06/1.16 [55]P2(x551)+~P1(x551)+E(x551,a10)+P3(f4(x551),x551)+E(x551,a1) % 1.06/1.16 [66]~P1(x661)+~P1(x662)+~P3(x662,x661)+P5(x662,x661)+E(x661,a1) % 1.06/1.16 [67]P4(x671,x672)+~P1(x672)+~P1(x671)+~P5(x671,x672)+E(x671,x672) % 1.06/1.16 [71]~P1(x712)+~P1(x711)+~P5(x712,x711)+~P5(x711,x712)+E(x711,x712) % 1.06/1.16 [59]~P1(x591)+~P1(x592)+E(x591,a1)+E(x592,a1)+~E(f2(x592,x591),a1) % 1.06/1.16 [69]~P1(x691)+~P1(x692)+~P1(x693)+P3(x691,x692)+~E(x692,f2(x691,x693)) % 1.06/1.16 [70]~P1(x702)+~P1(x701)+~P1(x703)+P5(x701,x702)+~E(f7(x701,x703),x702) % 1.06/1.16 [72]~P1(x723)+~P1(x722)+~P5(x723,x722)+P1(x721)+~E(x721,f8(x722,x723)) % 1.06/1.16 [76]~P1(x762)+~P1(x761)+~P1(x763)+E(x761,x762)+~E(f7(x763,x761),f7(x763,x762)) % 1.06/1.16 [77]~P1(x772)+~P1(x773)+~P1(x771)+E(x771,x772)+~E(f7(x771,x773),f7(x772,x773)) % 1.06/1.16 [80]~P1(x803)+~P1(x801)+~P5(x801,x803)+~E(x802,f8(x803,x801))+E(f7(x801,x802),x803) % 1.06/1.16 [65]~P1(x652)+~P1(x651)+~P2(x652)+~P3(x651,x652)+E(x651,x652)+E(x651,a10) % 1.06/1.16 [84]~P1(x842)+~P1(x841)+~P5(x843,x842)+~P5(x841,x843)+P5(x841,x842)+~P1(x843) % 1.06/1.16 [85]~P1(x852)+~P1(x851)+~P3(x853,x852)+~P3(x851,x853)+P3(x851,x852)+~P1(x853) % 1.06/1.16 [73]~P1(x731)+~P1(x733)+~P3(x731,x733)+P1(x732)+E(x731,a1)+~E(x732,f9(x733,x731)) % 1.06/1.16 [78]~P1(x782)+~P1(x781)+~P1(x783)+E(x781,x782)+~E(f2(x783,x781),f2(x783,x782))+E(x783,a1) % 1.06/1.16 [79]~P1(x792)+~P1(x793)+~P1(x791)+E(x791,x792)+~E(f2(x791,x793),f2(x792,x793))+E(x793,a1) % 1.06/1.16 [81]~P1(x811)+~P1(x812)+~P3(x811,x812)+~E(x813,f9(x812,x811))+E(x811,a1)+E(x812,f2(x811,x813)) % 1.06/1.16 [86]~P1(x862)+~P1(x863)+~P1(x861)+~P5(x863,x862)+~E(f7(x863,x861),x862)+E(x861,f8(x862,x863)) % 1.06/1.16 [94]~P1(x943)+~P1(x942)+~P1(x941)+~P3(x941,x943)+~P3(x941,x942)+P3(x941,f7(x942,x943)) % 1.06/1.16 [95]~P1(x952)+~P1(x951)+~P1(x953)+~P5(x951,x952)+E(x951,x952)+P5(f7(x953,x951),f7(x953,x952)) % 1.06/1.16 [96]~P1(x962)+~P1(x963)+~P1(x961)+~P5(x961,x962)+E(x961,x962)+P5(f7(x961,x963),f7(x962,x963)) % 1.06/1.16 [99]~P1(x992)+~P1(x991)+~P3(x991,x993)+P3(x991,x992)+~P1(x993)+~P3(x991,f7(x993,x992)) % 1.06/1.16 [100]~P1(x1002)+~P1(x1003)+~P1(x1001)+~P3(x1001,x1003)+E(x1001,a1)+E(f9(f2(x1002,x1003),x1001),f2(x1002,f9(x1003,x1001))) % 1.06/1.16 [87]~P1(x871)+~P1(x873)+~P1(x872)+~P3(x871,x873)+~E(x873,f2(x871,x872))+E(x871,a1)+E(x872,f9(x873,x871)) % 1.06/1.16 [97]~P1(x972)+~P1(x971)+~P1(x973)+~P5(x971,x972)+E(x971,x972)+P5(f2(x973,x971),f2(x973,x972))+E(x973,a1) % 1.06/1.16 [98]~P1(x982)+~P1(x983)+~P1(x981)+~P5(x981,x982)+E(x981,x982)+P5(f2(x981,x983),f2(x982,x983))+E(x983,a1) % 1.06/1.16 [103]~P1(x1031)+~P1(x1032)+~P1(x1033)+~P2(x1031)+P3(x1031,x1032)+P3(x1031,x1033)+~P3(x1031,f2(x1033,x1032))+~P4(f7(f7(x1033,x1032),x1031),f7(f7(a11,a12),a13)) % 1.06/1.16 %EqnAxiom % 1.06/1.16 [1]E(x11,x11) % 1.06/1.16 [2]E(x22,x21)+~E(x21,x22) % 1.06/1.16 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 1.06/1.16 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43)) % 1.06/1.16 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52)) % 1.06/1.16 [6]~E(x61,x62)+E(f7(x61,x63),f7(x62,x63)) % 1.06/1.16 [7]~E(x71,x72)+E(f7(x73,x71),f7(x73,x72)) % 1.06/1.16 [8]~E(x81,x82)+E(f9(x81,x83),f9(x82,x83)) % 1.06/1.16 [9]~E(x91,x92)+E(f9(x93,x91),f9(x93,x92)) % 1.06/1.16 [10]~E(x101,x102)+E(f8(x101,x103),f8(x102,x103)) % 1.06/1.16 [11]~E(x111,x112)+E(f8(x113,x111),f8(x113,x112)) % 1.06/1.16 [12]~E(x121,x122)+E(f5(x121,x123),f5(x122,x123)) % 1.06/1.16 [13]~E(x131,x132)+E(f5(x133,x131),f5(x133,x132)) % 1.06/1.16 [14]~E(x141,x142)+E(f6(x141,x143),f6(x142,x143)) % 1.06/1.16 [15]~E(x151,x152)+E(f6(x153,x151),f6(x153,x152)) % 1.06/1.16 [16]~E(x161,x162)+E(f4(x161),f4(x162)) % 1.06/1.16 [17]~E(x171,x172)+E(f3(x171),f3(x172)) % 1.06/1.16 [18]~P1(x181)+P1(x182)+~E(x181,x182) % 1.06/1.16 [19]P4(x192,x193)+~E(x191,x192)+~P4(x191,x193) % 1.06/1.16 [20]P4(x203,x202)+~E(x201,x202)+~P4(x203,x201) % 1.06/1.16 [21]P3(x212,x213)+~E(x211,x212)+~P3(x211,x213) % 1.06/1.16 [22]P3(x223,x222)+~E(x221,x222)+~P3(x223,x221) % 1.06/1.16 [23]~P2(x231)+P2(x232)+~E(x231,x232) % 1.06/1.16 [24]P5(x242,x243)+~E(x241,x242)+~P5(x241,x243) % 1.06/1.16 [25]P5(x253,x252)+~E(x251,x252)+~P5(x253,x251) % 1.06/1.16 % 1.06/1.16 %------------------------------------------- % 1.06/1.16 cnf(104,plain, % 1.06/1.16 (~P2(a1)+~P1(a1)), % 1.06/1.16 inference(equality_inference,[],[38])). % 1.06/1.16 cnf(105,plain, % 1.06/1.16 (~P2(a10)+~P1(a10)), % 1.06/1.16 inference(equality_inference,[],[39])). % 1.06/1.16 cnf(107,plain, % 1.06/1.16 (P3(x1071,f2(x1071,x1072))+~P1(x1071)+~P1(f2(x1071,x1072))+~P1(x1072)), % 1.06/1.16 inference(equality_inference,[],[69])). % 1.06/1.16 cnf(109,plain, % 1.06/1.16 (~P5(x1091,x1092)+~P1(x1091)+~P1(x1092)+P1(f8(x1092,x1091))), % 1.06/1.16 inference(equality_inference,[],[72])). % 1.06/1.16 cnf(115,plain, % 1.06/1.16 (~P5(x1151,x1152)+~P1(x1152)+~P1(x1151)+E(f7(x1151,f8(x1152,x1151)),x1152)), % 1.06/1.16 inference(equality_inference,[],[80])). % 1.06/1.16 cnf(119,plain, % 1.06/1.16 (~P2(a1)), % 1.06/1.16 inference(scs_inference,[],[26,104])). % 1.06/1.16 cnf(120,plain, % 1.06/1.16 (~P2(a10)), % 1.06/1.16 inference(scs_inference,[],[27,105])). % 1.06/1.16 cnf(121,plain, % 1.06/1.16 (~E(f2(a11,a12),a11)), % 1.06/1.16 inference(scs_inference,[],[36,32,22])). % 1.06/1.16 cnf(122,plain, % 1.06/1.16 (P5(a1,a1)), % 1.06/1.16 inference(scs_inference,[],[36,26,32,22,62])). % 1.06/1.16 cnf(126,plain, % 1.06/1.16 (E(a1,f7(a1,f8(a1,a1)))), % 1.06/1.17 inference(scs_inference,[],[36,26,32,22,62,115,2])). % 1.06/1.17 cnf(131,plain, % 1.06/1.17 (P5(f7(a1,f8(a1,a1)),a1)), % 1.06/1.17 inference(scs_inference,[],[36,26,32,22,62,115,2,21,18,38,24])). % 1.06/1.17 cnf(132,plain, % 1.06/1.17 (P5(a1,f7(a1,f8(a1,a1)))), % 1.06/1.17 inference(scs_inference,[],[36,26,32,22,62,115,2,21,18,38,24,25])). % 1.06/1.17 cnf(133,plain, % 1.06/1.17 (P1(f8(a1,a1))), % 1.06/1.17 inference(scs_inference,[],[36,26,32,22,62,115,2,21,18,38,24,25,109])). % 1.06/1.17 cnf(135,plain, % 1.06/1.17 (E(f8(a1,a1),a1)), % 1.06/1.17 inference(scs_inference,[],[36,26,32,22,62,115,2,21,18,38,24,25,109,57])). % 1.06/1.17 cnf(138,plain, % 1.06/1.17 (~P2(f8(a1,a1))+P2(a1)), % 1.06/1.17 inference(scs_inference,[],[36,26,32,22,62,115,2,21,18,38,24,25,109,57,3,23])). % 1.06/1.17 cnf(141,plain, % 1.06/1.17 (P5(a10,a10)), % 1.06/1.17 inference(scs_inference,[],[36,26,27,32,22,62,115,2,21,18,38,24,25,109,57,3,23,107,54])). % 1.06/1.17 cnf(147,plain, % 1.06/1.17 (~P2(f8(a1,a1))), % 1.06/1.17 inference(scs_inference,[],[119,138])). % 1.06/1.17 cnf(148,plain, % 1.06/1.17 (E(a1,f8(a1,a1))), % 1.06/1.17 inference(scs_inference,[],[135,119,138,2])). % 1.06/1.17 cnf(150,plain, % 1.06/1.17 (E(f8(a1,a1),f7(a1,f8(a1,a1)))), % 1.06/1.17 inference(scs_inference,[],[135,126,132,119,138,2,24,3])). % 1.06/1.17 cnf(151,plain, % 1.06/1.17 (P5(f8(a1,a1),f8(a1,a1))), % 1.06/1.17 inference(scs_inference,[],[133,135,126,132,119,138,2,24,3,62])). % 1.06/1.17 cnf(153,plain, % 1.06/1.17 (E(f7(f8(a1,a1),f8(f8(a1,a1),f8(a1,a1))),f8(a1,a1))), % 1.06/1.17 inference(scs_inference,[],[133,135,126,132,119,138,2,24,3,62,115])). % 1.06/1.17 cnf(155,plain, % 1.06/1.17 (P1(f8(f8(a1,a1),f8(a1,a1)))), % 1.06/1.17 inference(scs_inference,[],[133,135,126,132,119,138,2,24,3,62,115,109])). % 1.06/1.17 cnf(161,plain, % 1.06/1.17 (P5(a11,a11)), % 1.06/1.17 inference(scs_inference,[],[26,133,28,122,135,126,132,119,141,138,2,24,3,62,115,109,72,25,23,54])). % 1.06/1.17 cnf(170,plain, % 1.06/1.17 (P5(a1,f8(a1,a1))), % 1.06/1.17 inference(scs_inference,[],[135,151,153,2,24])). % 1.06/1.17 cnf(171,plain, % 1.06/1.17 (E(f7(f8(a1,a1),f8(f8(a1,a1),f8(a1,a1))),a1)), % 1.06/1.17 inference(scs_inference,[],[135,151,153,2,24,3])). % 1.06/1.17 cnf(172,plain, % 1.06/1.17 (P5(f8(a1,a1),a1)), % 1.06/1.17 inference(scs_inference,[],[135,151,153,2,24,3,25])). % 1.06/1.17 cnf(173,plain, % 1.06/1.17 (P5(f8(f8(a1,a1),f8(a1,a1)),f8(f8(a1,a1),f8(a1,a1)))), % 1.06/1.17 inference(scs_inference,[],[155,135,151,153,2,24,3,25,62])). % 1.06/1.17 cnf(175,plain, % 1.06/1.17 (E(f8(f8(a1,a1),f8(a1,a1)),a1)), % 1.06/1.17 inference(scs_inference,[],[133,155,135,151,153,2,24,3,25,62,57])). % 1.06/1.17 cnf(177,plain, % 1.06/1.17 (E(f7(a10,f8(a10,a10)),a10)), % 1.06/1.17 inference(scs_inference,[],[133,155,27,135,141,151,153,2,24,3,25,62,57,115])). % 1.06/1.17 cnf(179,plain, % 1.06/1.17 (P1(f8(a10,a10))), % 1.06/1.17 inference(scs_inference,[],[133,155,27,135,141,151,153,2,24,3,25,62,57,115,109])). % 1.06/1.17 cnf(181,plain, % 1.06/1.17 (E(f8(f8(a1,a1),f8(a1,a1)),f8(a1,f8(a1,a1)))), % 1.06/1.17 inference(scs_inference,[],[26,133,155,27,135,141,151,153,2,24,3,25,62,57,115,109,86])). % 1.06/1.17 cnf(185,plain, % 1.06/1.17 (~P2(f8(f8(a1,a1),f8(a1,a1)))), % 1.06/1.17 inference(scs_inference,[],[26,133,155,27,135,141,151,153,2,24,3,25,62,57,115,109,86,39,38])). % 1.06/1.17 cnf(187,plain, % 1.06/1.17 (P1(f8(a1,f8(a1,a1)))), % 1.06/1.17 inference(scs_inference,[],[26,133,155,27,135,141,151,153,2,24,3,25,62,57,115,109,86,39,38,18])). % 1.06/1.17 cnf(189,plain, % 1.06/1.17 (P5(a12,a12)), % 1.06/1.17 inference(scs_inference,[],[26,133,155,29,27,135,141,151,153,120,2,24,3,25,62,57,115,109,86,39,38,18,23,54])). % 1.06/1.17 cnf(196,plain, % 1.06/1.17 (E(f7(a1,f8(a1,a1)),f8(a1,a1))), % 1.06/1.17 inference(scs_inference,[],[150,2])). % 1.06/1.17 cnf(197,plain, % 1.06/1.17 (P5(f8(a1,f8(a1,a1)),f8(f8(a1,a1),f8(a1,a1)))), % 1.06/1.17 inference(scs_inference,[],[150,173,181,2,24])). % 1.06/1.17 cnf(199,plain, % 1.06/1.17 (P5(f8(f8(a1,a1),f8(a1,a1)),f8(a1,f8(a1,a1)))), % 1.06/1.17 inference(scs_inference,[],[150,173,181,177,33,2,24,3,25])). % 1.06/1.17 cnf(202,plain, % 1.06/1.17 (E(f7(a11,f8(a11,a11)),a11)), % 1.06/1.17 inference(scs_inference,[],[187,28,150,173,181,177,33,161,2,24,3,25,62,115])). % 1.06/1.17 cnf(204,plain, % 1.06/1.17 (P1(f8(a11,a11))), % 1.06/1.17 inference(scs_inference,[],[187,28,150,173,181,177,33,161,2,24,3,25,62,115,109])). % 1.06/1.17 cnf(206,plain, % 1.06/1.17 (E(f8(a1,f8(a1,a1)),f8(f8(a1,a1),f8(a1,a1)))), % 1.06/1.17 inference(scs_inference,[],[155,187,28,150,173,181,177,33,161,2,24,3,25,62,115,109,71])). % 1.06/1.17 cnf(208,plain, % 1.06/1.17 (E(f8(a1,a1),f8(f8(a1,a1),a1))), % 1.06/1.17 inference(scs_inference,[],[26,133,155,187,28,150,173,181,170,177,33,161,2,24,3,25,62,115,109,71,86])). % 1.06/1.17 cnf(210,plain, % 1.06/1.17 (P1(f8(f8(a1,a1),a1))), % 1.06/1.17 inference(scs_inference,[],[26,133,155,187,28,150,173,181,170,177,33,161,2,24,3,25,62,115,109,71,86,18])). % 1.06/1.17 cnf(212,plain, % 1.06/1.17 (P5(f8(a10,a10),f8(a10,a10))), % 1.06/1.17 inference(scs_inference,[],[26,133,155,187,179,28,150,173,181,170,177,33,161,2,24,3,25,62,115,109,71,86,18,23,54])). % 1.06/1.17 cnf(221,plain, % 1.06/1.17 (E(f8(a1,f8(a1,a1)),a1)), % 1.06/1.17 inference(scs_inference,[],[171,132,148,175,206,2,24,3])). % 1.06/1.17 cnf(224,plain, % 1.06/1.17 (P5(f8(f8(a1,a1),a1),f8(f8(a1,a1),a1))), % 1.06/1.17 inference(scs_inference,[],[210,171,131,132,148,175,185,206,2,24,3,25,23,62])). % 1.06/1.17 cnf(226,plain, % 1.06/1.17 (E(f7(f8(a10,a10),f8(f8(a10,a10),f8(a10,a10))),f8(a10,a10))), % 1.06/1.17 inference(scs_inference,[],[210,179,171,131,132,148,175,185,212,206,2,24,3,25,23,62,115])). % 1.06/1.17 cnf(228,plain, % 1.06/1.17 (P1(f8(f8(a10,a10),f8(a10,a10)))), % 1.06/1.17 inference(scs_inference,[],[210,179,171,131,132,148,175,185,212,206,2,24,3,25,23,62,115,109])). % 1.06/1.17 cnf(232,plain, % 1.06/1.17 (P5(f8(a11,a11),f8(a11,a11))), % 1.06/1.17 inference(scs_inference,[],[210,204,179,27,171,131,132,148,175,141,185,212,206,2,24,3,25,23,62,115,109,72,54])). % 1.06/1.17 cnf(240,plain, % 1.06/1.17 (E(a10,f7(a10,f8(a10,a10)))), % 1.06/1.17 inference(scs_inference,[],[177,2])). % 1.06/1.17 cnf(244,plain, % 1.06/1.17 (P5(a10,f7(a10,f8(a10,a10)))), % 1.06/1.17 inference(scs_inference,[],[121,27,177,202,141,2,18,24,3,25])). % 1.06/1.17 cnf(247,plain, % 1.06/1.17 (E(f7(a12,f8(a12,a12)),a12)), % 1.06/1.17 inference(scs_inference,[],[121,228,29,27,177,202,141,189,2,18,24,3,25,62,115])). % 1.06/1.17 cnf(249,plain, % 1.06/1.17 (P1(f8(a12,a12))), % 1.06/1.17 inference(scs_inference,[],[121,228,29,27,177,202,141,189,2,18,24,3,25,62,115,109])). % 1.06/1.17 cnf(254,plain, % 1.06/1.17 (P5(a13,a13)), % 1.06/1.17 inference(scs_inference,[],[121,228,30,29,27,177,202,141,226,189,2,18,24,3,25,62,115,109,23,107,54])). % 1.06/1.17 cnf(260,plain, % 1.06/1.17 (P1(f7(a11,f8(a11,a11)))), % 1.06/1.17 inference(scs_inference,[],[28,202,2,18])). % 1.06/1.17 cnf(262,plain, % 1.06/1.17 (~E(a13,a11)), % 1.06/1.17 inference(scs_inference,[],[28,202,240,244,34,254,2,18,24,25])). % 1.06/1.17 cnf(263,plain, % 1.06/1.17 (P5(f8(a12,a12),f8(a12,a12))), % 1.06/1.17 inference(scs_inference,[],[249,28,202,240,244,34,254,2,18,24,25,62])). % 1.06/1.17 cnf(265,plain, % 1.06/1.17 (E(f7(f8(a12,a12),f8(f8(a12,a12),f8(a12,a12))),f8(a12,a12))), % 1.06/1.17 inference(scs_inference,[],[249,28,202,240,244,34,254,2,18,24,25,62,115])). % 1.06/1.17 cnf(277,plain, % 1.06/1.17 (E(a13,a12)+~P5(a11,a13)+~P5(a12,a13)), % 1.06/1.17 inference(scs_inference,[],[262,56])). % 1.06/1.17 cnf(279,plain, % 1.06/1.17 (~E(a11,a13)), % 1.06/1.17 inference(scs_inference,[],[175,34,161,2,24])). % 1.06/1.17 cnf(282,plain, % 1.06/1.17 (P5(f7(a11,f8(a11,a11)),f7(a11,f8(a11,a11)))), % 1.06/1.17 inference(scs_inference,[],[260,175,247,254,35,34,161,2,24,25,3,62])). % 1.06/1.17 cnf(284,plain, % 1.06/1.17 (E(f7(a13,f8(a13,a13)),a13)), % 1.06/1.17 inference(scs_inference,[],[260,30,175,247,254,35,34,161,2,24,25,3,62,115])). % 1.06/1.17 cnf(286,plain, % 1.06/1.17 (P1(f8(a13,a13))), % 1.06/1.17 inference(scs_inference,[],[260,30,175,247,254,35,34,161,2,24,25,3,62,115,109])). % 1.06/1.17 cnf(288,plain, % 1.06/1.17 (~P5(a11,a13)+~P5(a12,a13)), % 1.06/1.17 inference(scs_inference,[],[260,30,175,247,254,35,34,161,2,24,25,3,62,115,109,277])). % 1.06/1.17 cnf(299,plain, % 1.06/1.17 (P5(a11,f7(a11,f8(a11,a11)))), % 1.06/1.17 inference(scs_inference,[],[202,226,282,2,24])). % 1.06/1.17 cnf(300,plain, % 1.06/1.17 (P5(f7(a11,f8(a11,a11)),a11)), % 1.06/1.17 inference(scs_inference,[],[202,226,282,2,24,25])). % 1.06/1.17 cnf(302,plain, % 1.06/1.17 (P5(f8(a13,a13),f8(a13,a13))), % 1.06/1.17 inference(scs_inference,[],[286,202,226,282,284,279,2,24,25,3,62])). % 1.06/1.17 cnf(304,plain, % 1.06/1.17 (E(f7(f8(a13,a13),f8(f8(a13,a13),f8(a13,a13))),f8(a13,a13))), % 1.06/1.17 inference(scs_inference,[],[286,202,226,282,284,279,2,24,25,3,62,115])). % 1.06/1.17 cnf(318,plain, % 1.06/1.17 (E(f8(f8(a1,a1),a1),f8(a1,a1))), % 1.06/1.17 inference(scs_inference,[],[208,2])). % 1.06/1.17 cnf(319,plain, % 1.06/1.17 (P5(a1,f8(f8(a1,a1),f8(a1,a1)))), % 1.06/1.17 inference(scs_inference,[],[208,221,197,2,24])). % 1.06/1.17 cnf(320,plain, % 1.06/1.17 (P5(f8(f8(a1,a1),f8(a1,a1)),a1)), % 1.06/1.17 inference(scs_inference,[],[208,221,197,199,2,24,25])). % 1.06/1.17 cnf(322,plain, % 1.06/1.17 (E(f7(f8(a11,a11),f8(f8(a11,a11),f8(a11,a11))),f8(a11,a11))), % 1.06/1.17 inference(scs_inference,[],[204,208,221,197,199,147,232,2,24,25,23,115])). % 1.06/1.17 cnf(328,plain, % 1.06/1.17 (P5(f8(a1,f8(a1,a1)),a1)), % 1.06/1.17 inference(scs_inference,[],[26,155,187,28,204,208,221,197,199,161,147,232,2,24,25,23,115,109,72,84])). % 1.06/1.17 cnf(340,plain, % 1.06/1.17 (P5(a1,f8(a1,f8(a1,a1)))), % 1.06/1.17 inference(scs_inference,[],[175,221,199,2,24])). % 1.06/1.17 cnf(342,plain, % 1.06/1.17 (P5(f8(f8(a1,a1),a1),a1)), % 1.06/1.17 inference(scs_inference,[],[26,133,210,172,175,221,199,318,224,2,24,25,84])). % 1.06/1.17 cnf(350,plain, % 1.06/1.17 (E(f8(a12,a12),f7(f8(a12,a12),f8(f8(a12,a12),f8(a12,a12))))), % 1.06/1.17 inference(scs_inference,[],[265,2])). % 1.06/1.17 cnf(351,plain, % 1.06/1.17 (~E(f7(a11,f8(a11,a11)),a13)), % 1.06/1.17 inference(scs_inference,[],[265,300,34,2,24])). % 1.06/1.17 cnf(352,plain, % 1.06/1.17 (P5(f8(a1,f8(a1,a1)),f8(a1,a1))), % 1.06/1.17 inference(scs_inference,[],[148,265,300,328,34,2,24,25])). % 1.06/1.17 cnf(361,plain, % 1.06/1.17 (P5(f8(a1,a1),f8(f8(a1,a1),f8(a1,a1)))), % 1.06/1.17 inference(scs_inference,[],[29,148,247,319,2,18,24])). % 1.06/1.17 cnf(362,plain, % 1.06/1.17 (P5(f8(f8(a1,a1),f8(a1,a1)),f8(a1,a1))), % 1.06/1.17 inference(scs_inference,[],[29,148,247,320,319,2,18,24,25])). % 1.06/1.17 cnf(363,plain, % 1.06/1.17 (E(f7(a1,f8(a1,a1)),f8(f8(a1,a1),a1))), % 1.06/1.17 inference(scs_inference,[],[29,196,148,208,247,320,319,2,18,24,25,3])). % 1.06/1.17 cnf(366,plain, % 1.06/1.17 (P5(a1,f8(f8(a1,a1),a1))), % 1.06/1.17 inference(scs_inference,[],[26,133,210,29,196,148,208,247,320,319,2,18,24,25,3,62,70])). % 1.06/1.17 cnf(370,plain, % 1.06/1.17 (E(f8(a1,a1),f8(f8(f8(a1,a1),a1),a1))), % 1.06/1.17 inference(scs_inference,[],[26,133,210,29,196,148,208,247,320,319,342,2,18,24,25,3,62,70,71,86])). % 1.06/1.17 cnf(380,plain, % 1.06/1.17 (P1(f5(a1,a1))), % 1.06/1.17 inference(scs_inference,[],[26,48,74])). % 1.06/1.17 cnf(381,plain, % 1.06/1.17 (E(a13,f7(a13,f8(a13,a13)))), % 1.06/1.17 inference(scs_inference,[],[284,2])). % 1.06/1.17 cnf(397,plain, % 1.06/1.17 (E(f8(a1,a1),f8(f8(a1,f8(a1,a1)),a1))), % 1.06/1.17 inference(scs_inference,[],[26,133,187,380,196,32,181,284,254,340,352,361,370,31,2,21,18,24,25,23,62,109,71,22,3,115,86])). % 1.06/1.17 cnf(407,plain, % 1.06/1.17 (E(f8(a13,a13),f7(f8(a13,a13),f8(f8(a13,a13),f8(a13,a13))))), % 1.06/1.17 inference(scs_inference,[],[304,2])). % 1.06/1.17 cnf(411,plain, % 1.06/1.17 (~E(f7(a11,f8(a11,a11)),f7(a13,f8(a13,a13)))), % 1.06/1.17 inference(scs_inference,[],[133,284,304,318,224,351,263,350,397,2,18,24,25,3])). % 1.06/1.17 cnf(412,plain, % 1.06/1.17 (E(f8(a1,a1),f8(f8(a1,a1),f8(a1,a1)))), % 1.06/1.17 inference(scs_inference,[],[133,155,284,304,318,224,362,361,351,263,350,397,2,18,24,25,3,71])). % 1.06/1.17 cnf(422,plain, % 1.06/1.17 (P1(f7(a13,f8(a13,a13)))), % 1.06/1.17 inference(scs_inference,[],[30,322,381,2,18])). % 1.06/1.17 cnf(426,plain, % 1.06/1.17 (P5(f7(a13,f8(a13,a13)),f7(a13,f8(a13,a13)))), % 1.06/1.17 inference(scs_inference,[],[30,196,322,381,412,302,407,2,18,24,25,3,62])). % 1.06/1.17 cnf(430,plain, % 1.06/1.17 (E(f8(a1,a1),f8(f8(f8(a1,a1),f8(a1,a1)),a1))), % 1.06/1.17 inference(scs_inference,[],[26,133,30,155,210,196,322,319,342,366,381,412,302,407,2,18,24,25,3,62,71,86])). % 1.06/1.17 cnf(438,plain, % 1.06/1.17 (P5(a13,f7(a13,f8(a13,a13)))), % 1.06/1.17 inference(scs_inference,[],[133,284,363,426,430,2,18,24])). % 1.06/1.17 cnf(525,plain, % 1.06/1.17 (~P5(f7(a13,f8(a13,a13)),a11)), % 1.06/1.17 inference(scs_inference,[],[28,30,422,438,34,25,84])). % 1.06/1.17 cnf(537,plain, % 1.06/1.17 (~P5(a11,a13)), % 1.06/1.17 inference(scs_inference,[],[30,29,35,288,62])). % 1.06/1.17 cnf(544,plain, % 1.06/1.17 ($false), % 1.06/1.17 inference(scs_inference,[],[28,30,260,422,284,299,411,537,525,62,80,84,25]), % 1.06/1.17 ['proof']). % 1.06/1.17 % SZS output end Proof % 1.06/1.17 % Total time :0.640000s %------------------------------------------------------------------------------