%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : RNG125+4 : TPTP v8.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n017.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 14:01:12 EDT 2024 % Result : Theorem 0.55s 0.68s % Output : CNFRefutation 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : RNG125+4 : TPTP v8.2.0. Released v4.0.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.11/0.33 % Computer : n017.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 300 % 0.11/0.33 % DateTime : Tue Jun 18 14:11:09 EDT 2024 % 0.11/0.33 % CPUTime : % 0.49/0.58 start to proof:theBenchmark % 0.55/0.66 %------------------------------------------- % 0.55/0.66 % File :CSE---1.7 % 0.55/0.66 % Problem :theBenchmark % 0.55/0.66 % Transform :cnf % 0.55/0.66 % Format :tptp:raw % 0.55/0.66 % Command :java -jar mcs_scs.jar %d %s % 0.55/0.66 % 0.55/0.66 % Result :Theorem 0.020000s % 0.55/0.66 % Output :CNFRefutation 0.020000s % 0.55/0.67 %------------------------------------------- % 0.55/0.67 %------------------------------------------------------------------------------ % 0.55/0.67 % File : RNG125+4 : TPTP v8.2.0. Released v4.0.0. % 0.55/0.67 % Domain : Ring Theory % 0.55/0.67 % Problem : Chinese remainder theorem in a ring 07_05_04, 03 expansion % 0.55/0.67 % Version : Especial. % 0.55/0.67 % English : % 0.55/0.67 % 0.55/0.67 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction % 0.55/0.67 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe % 0.55/0.67 % Source : [Pas08] % 0.55/0.67 % Names : chines_07_05_04.03 [Pas08] % 0.55/0.67 % 0.55/0.67 % Status : ContradictoryAxioms % 0.55/0.67 % Rating : 0.11 v8.2.0, 0.08 v8.1.0, 0.06 v7.5.0, 0.03 v7.4.0, 0.29 v7.3.0, 0.00 v7.0.0, 0.03 v6.4.0, 0.04 v6.1.0, 0.10 v6.0.0, 0.09 v5.5.0, 0.15 v5.4.0, 0.18 v5.3.0, 0.22 v5.2.0, 0.10 v5.1.0, 0.24 v5.0.0, 0.29 v4.1.0, 0.39 v4.0.1, 0.70 v4.0.0 % 0.55/0.67 % Syntax : Number of formulae : 50 ( 4 unt; 9 def) % 0.55/0.67 % Number of atoms : 249 ( 59 equ) % 0.55/0.67 % Maximal formula atoms : 23 ( 4 avg) % 0.55/0.67 % Number of connectives : 214 ( 15 ~; 11 |; 118 &) % 0.55/0.67 % ( 17 <=>; 53 =>; 0 <=; 0 <~>) % 0.55/0.67 % Maximal formula depth : 18 ( 6 avg) % 0.55/0.67 % Maximal term depth : 3 ( 1 avg) % 0.55/0.67 % Number of predicates : 14 ( 11 usr; 2 prp; 0-3 aty) % 0.55/0.67 % Number of functors : 14 ( 14 usr; 7 con; 0-2 aty) % 0.55/0.67 % Number of variables : 122 ( 87 !; 35 ?) % 0.55/0.67 % SPC : FOF_CAX_RFO_SEQ % 0.55/0.67 % 0.55/0.67 % Comments : Problem generated by the SAD system [VLP07] % 0.55/0.67 %------------------------------------------------------------------------------ % 0.55/0.67 fof(mElmSort,axiom, % 0.55/0.67 ! [W0] : % 0.55/0.67 ( aElement0(W0) % 0.55/0.67 => $true ) ). % 0.55/0.67 % 0.55/0.67 fof(mSortsC,axiom, % 0.55/0.67 aElement0(sz00) ). % 0.55/0.67 % 0.55/0.67 fof(mSortsC_01,axiom, % 0.55/0.67 aElement0(sz10) ). % 0.55/0.67 % 0.55/0.67 fof(mSortsU,axiom, % 0.55/0.67 ! [W0] : % 0.55/0.67 ( aElement0(W0) % 0.55/0.67 => aElement0(smndt0(W0)) ) ). % 0.55/0.67 % 0.55/0.67 fof(mSortsB,axiom, % 0.55/0.67 ! [W0,W1] : % 0.55/0.67 ( ( aElement0(W0) % 0.55/0.67 & aElement0(W1) ) % 0.55/0.67 => aElement0(sdtpldt0(W0,W1)) ) ). % 0.55/0.67 % 0.55/0.67 fof(mSortsB_02,axiom, % 0.55/0.67 ! [W0,W1] : % 0.55/0.67 ( ( aElement0(W0) % 0.55/0.67 & aElement0(W1) ) % 0.55/0.67 => aElement0(sdtasdt0(W0,W1)) ) ). % 0.55/0.67 % 0.55/0.67 fof(mAddComm,axiom, % 0.55/0.67 ! [W0,W1] : % 0.55/0.67 ( ( aElement0(W0) % 0.55/0.67 & aElement0(W1) ) % 0.55/0.67 => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ). % 0.55/0.67 % 0.55/0.67 fof(mAddAsso,axiom, % 0.55/0.67 ! [W0,W1,W2] : % 0.55/0.67 ( ( aElement0(W0) % 0.55/0.67 & aElement0(W1) % 0.55/0.67 & aElement0(W2) ) % 0.55/0.67 => sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ). % 0.55/0.67 % 0.55/0.67 fof(mAddZero,axiom, % 0.55/0.67 ! [W0] : % 0.55/0.67 ( aElement0(W0) % 0.55/0.67 => ( sdtpldt0(W0,sz00) = W0 % 0.55/0.67 & W0 = sdtpldt0(sz00,W0) ) ) ). % 0.55/0.67 % 0.55/0.67 fof(mAddInvr,axiom, % 0.55/0.67 ! [W0] : % 0.55/0.67 ( aElement0(W0) % 0.55/0.67 => ( sdtpldt0(W0,smndt0(W0)) = sz00 % 0.55/0.67 & sz00 = sdtpldt0(smndt0(W0),W0) ) ) ). % 0.55/0.67 % 0.55/0.67 fof(mMulComm,axiom, % 0.55/0.67 ! [W0,W1] : % 0.55/0.67 ( ( aElement0(W0) % 0.55/0.67 & aElement0(W1) ) % 0.55/0.67 => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ). % 0.55/0.67 % 0.55/0.67 fof(mMulAsso,axiom, % 0.55/0.67 ! [W0,W1,W2] : % 0.55/0.67 ( ( aElement0(W0) % 0.55/0.67 & aElement0(W1) % 0.55/0.67 & aElement0(W2) ) % 0.55/0.67 => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ). % 0.55/0.67 % 0.55/0.67 fof(mMulUnit,axiom, % 0.55/0.67 ! [W0] : % 0.55/0.67 ( aElement0(W0) % 0.55/0.67 => ( sdtasdt0(W0,sz10) = W0 % 0.55/0.67 & W0 = sdtasdt0(sz10,W0) ) ) ). % 0.55/0.67 % 0.55/0.67 fof(mAMDistr,axiom, % 0.55/0.67 ! [W0,W1,W2] : % 0.55/0.67 ( ( aElement0(W0) % 0.55/0.67 & aElement0(W1) % 0.55/0.67 & aElement0(W2) ) % 0.55/0.67 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)) % 0.55/0.67 & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ). % 0.55/0.67 % 0.55/0.67 fof(mMulMnOne,axiom, % 0.55/0.67 ! [W0] : % 0.55/0.67 ( aElement0(W0) % 0.55/0.67 => ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0) % 0.55/0.67 & smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ). % 0.55/0.67 % 0.55/0.67 fof(mMulZero,axiom, % 0.55/0.67 ! [W0] : % 0.55/0.67 ( aElement0(W0) % 0.55/0.67 => ( sdtasdt0(W0,sz00) = sz00 % 0.55/0.67 & sz00 = sdtasdt0(sz00,W0) ) ) ). % 0.55/0.67 % 0.55/0.67 fof(mCancel,axiom, % 0.55/0.67 ! [W0,W1] : % 0.55/0.67 ( ( aElement0(W0) % 0.55/0.67 & aElement0(W1) ) % 0.55/0.67 => ( sdtasdt0(W0,W1) = sz00 % 0.55/0.67 => ( W0 = sz00 % 0.55/0.67 | W1 = sz00 ) ) ) ). % 0.55/0.67 % 0.55/0.67 fof(mUnNeZr,axiom, % 0.55/0.67 sz10 != sz00 ). % 0.55/0.67 % 0.55/0.67 fof(mSetSort,axiom, % 0.55/0.67 ! [W0] : % 0.55/0.67 ( aSet0(W0) % 0.55/0.67 => $true ) ). % 0.55/0.67 % 0.55/0.67 fof(mEOfElem,axiom, % 0.55/0.67 ! [W0] : % 0.55/0.67 ( aSet0(W0) % 0.55/0.67 => ! [W1] : % 0.55/0.67 ( aElementOf0(W1,W0) % 0.55/0.67 => aElement0(W1) ) ) ). % 0.55/0.67 % 0.55/0.67 fof(mSetEq,axiom, % 0.55/0.67 ! [W0,W1] : % 0.55/0.67 ( ( aSet0(W0) % 0.55/0.67 & aSet0(W1) ) % 0.55/0.67 => ( ( ! [W2] : % 0.55/0.67 ( aElementOf0(W2,W0) % 0.55/0.67 => aElementOf0(W2,W1) ) % 0.55/0.67 & ! [W2] : % 0.55/0.67 ( aElementOf0(W2,W1) % 0.55/0.67 => aElementOf0(W2,W0) ) ) % 0.55/0.67 => W0 = W1 ) ) ). % 0.55/0.67 % 0.55/0.67 fof(mDefSSum,definition, % 0.55/0.67 ! [W0,W1] : % 0.55/0.67 ( ( aSet0(W0) % 0.55/0.67 & aSet0(W1) ) % 0.55/0.67 => ! [W2] : % 0.55/0.67 ( W2 = sdtpldt1(W0,W1) % 0.55/0.67 <=> ( aSet0(W2) % 0.55/0.67 & ! [W3] : % 0.55/0.67 ( aElementOf0(W3,W2) % 0.55/0.67 <=> ? [W4,W5] : % 0.55/0.67 ( aElementOf0(W4,W0) % 0.55/0.67 & aElementOf0(W5,W1) % 0.55/0.67 & sdtpldt0(W4,W5) = W3 ) ) ) ) ) ). % 0.55/0.67 % 0.55/0.67 fof(mDefSInt,definition, % 0.55/0.67 ! [W0,W1] : % 0.55/0.67 ( ( aSet0(W0) % 0.55/0.67 & aSet0(W1) ) % 0.55/0.67 => ! [W2] : % 0.55/0.67 ( W2 = sdtasasdt0(W0,W1) % 0.55/0.67 <=> ( aSet0(W2) % 0.55/0.67 & ! [W3] : % 0.55/0.67 ( aElementOf0(W3,W2) % 0.55/0.67 <=> ( aElementOf0(W3,W0) % 0.55/0.67 & aElementOf0(W3,W1) ) ) ) ) ) ). % 0.55/0.67 % 0.55/0.67 fof(mDefIdeal,definition, % 0.55/0.67 ! [W0] : % 0.55/0.67 ( aIdeal0(W0) % 0.55/0.67 <=> ( aSet0(W0) % 0.55/0.67 & ! [W1] : % 0.55/0.67 ( aElementOf0(W1,W0) % 0.55/0.67 => ( ! [W2] : % 0.55/0.67 ( aElementOf0(W2,W0) % 0.55/0.67 => aElementOf0(sdtpldt0(W1,W2),W0) ) % 0.55/0.67 & ! [W2] : % 0.55/0.67 ( aElement0(W2) % 0.55/0.67 => aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ) ). % 0.55/0.67 % 0.55/0.67 fof(mIdeSum,axiom, % 0.55/0.67 ! [W0,W1] : % 0.55/0.67 ( ( aIdeal0(W0) % 0.55/0.67 & aIdeal0(W1) ) % 0.55/0.67 => aIdeal0(sdtpldt1(W0,W1)) ) ). % 0.55/0.67 % 0.55/0.67 fof(mIdeInt,axiom, % 0.55/0.67 ! [W0,W1] : % 0.55/0.67 ( ( aIdeal0(W0) % 0.55/0.67 & aIdeal0(W1) ) % 0.55/0.67 => aIdeal0(sdtasasdt0(W0,W1)) ) ). % 0.55/0.67 % 0.55/0.67 fof(mDefMod,definition, % 0.55/0.67 ! [W0,W1,W2] : % 0.55/0.67 ( ( aElement0(W0) % 0.55/0.67 & aElement0(W1) % 0.55/0.67 & aIdeal0(W2) ) % 0.55/0.67 => ( sdteqdtlpzmzozddtrp0(W0,W1,W2) % 0.55/0.67 <=> aElementOf0(sdtpldt0(W0,smndt0(W1)),W2) ) ) ). % 0.55/0.67 % 0.55/0.67 fof(mChineseRemainder,axiom, % 0.55/0.67 ! [W0,W1] : % 0.55/0.67 ( ( aIdeal0(W0) % 0.55/0.67 & aIdeal0(W1) ) % 0.55/0.67 => ( ! [W2] : % 0.55/0.67 ( aElement0(W2) % 0.55/0.67 => aElementOf0(W2,sdtpldt1(W0,W1)) ) % 0.55/0.67 => ! [W2,W3] : % 0.55/0.67 ( ( aElement0(W2) % 0.55/0.67 & aElement0(W3) ) % 0.55/0.67 => ? [W4] : % 0.55/0.67 ( aElement0(W4) % 0.55/0.67 & sdteqdtlpzmzozddtrp0(W4,W2,W0) % 0.55/0.67 & sdteqdtlpzmzozddtrp0(W4,W3,W1) ) ) ) ) ). % 0.55/0.67 % 0.55/0.67 fof(mNatSort,axiom, % 0.55/0.67 ! [W0] : % 0.55/0.67 ( aNaturalNumber0(W0) % 0.55/0.67 => $true ) ). % 0.55/0.67 % 0.55/0.67 fof(mEucSort,axiom, % 0.55/0.67 ! [W0] : % 0.55/0.67 ( ( aElement0(W0) % 0.55/0.67 & W0 != sz00 ) % 0.55/0.67 => aNaturalNumber0(sbrdtbr0(W0)) ) ). % 0.55/0.67 % 0.55/0.67 fof(mNatLess,axiom, % 0.55/0.67 ! [W0,W1] : % 0.55/0.67 ( ( aNaturalNumber0(W0) % 0.55/0.67 & aNaturalNumber0(W1) ) % 0.55/0.67 => ( iLess0(W0,W1) % 0.55/0.67 => $true ) ) ). % 0.55/0.67 % 0.55/0.67 fof(mDivision,axiom, % 0.55/0.67 ! [W0,W1] : % 0.55/0.67 ( ( aElement0(W0) % 0.55/0.67 & aElement0(W1) % 0.55/0.67 & W1 != sz00 ) % 0.55/0.67 => ? [W2,W3] : % 0.55/0.68 ( aElement0(W2) % 0.55/0.68 & aElement0(W3) % 0.55/0.68 & W0 = sdtpldt0(sdtasdt0(W2,W1),W3) % 0.55/0.68 & ( W3 != sz00 % 0.55/0.68 => iLess0(sbrdtbr0(W3),sbrdtbr0(W1)) ) ) ) ). % 0.55/0.68 % 0.55/0.68 fof(mDefDiv,definition, % 0.55/0.68 ! [W0,W1] : % 0.55/0.68 ( ( aElement0(W0) % 0.55/0.68 & aElement0(W1) ) % 0.55/0.68 => ( doDivides0(W0,W1) % 0.55/0.68 <=> ? [W2] : % 0.55/0.68 ( aElement0(W2) % 0.55/0.68 & sdtasdt0(W0,W2) = W1 ) ) ) ). % 0.55/0.68 % 0.55/0.68 fof(mDefDvs,definition, % 0.55/0.68 ! [W0] : % 0.55/0.68 ( aElement0(W0) % 0.55/0.68 => ! [W1] : % 0.55/0.68 ( aDivisorOf0(W1,W0) % 0.55/0.68 <=> ( aElement0(W1) % 0.55/0.68 & doDivides0(W1,W0) ) ) ) ). % 0.55/0.68 % 0.55/0.68 fof(mDefGCD,definition, % 0.55/0.68 ! [W0,W1] : % 0.55/0.68 ( ( aElement0(W0) % 0.55/0.68 & aElement0(W1) ) % 0.55/0.68 => ! [W2] : % 0.55/0.68 ( aGcdOfAnd0(W2,W0,W1) % 0.55/0.68 <=> ( aDivisorOf0(W2,W0) % 0.55/0.68 & aDivisorOf0(W2,W1) % 0.55/0.68 & ! [W3] : % 0.55/0.68 ( ( aDivisorOf0(W3,W0) % 0.55/0.68 & aDivisorOf0(W3,W1) ) % 0.55/0.68 => doDivides0(W3,W2) ) ) ) ) ). % 0.55/0.68 % 0.55/0.68 fof(mDefRel,definition, % 0.55/0.68 ! [W0,W1] : % 0.55/0.68 ( ( aElement0(W0) % 0.55/0.68 & aElement0(W1) ) % 0.55/0.68 => ( misRelativelyPrime0(W0,W1) % 0.55/0.68 <=> aGcdOfAnd0(sz10,W0,W1) ) ) ). % 0.55/0.68 % 0.55/0.68 fof(mDefPrIdeal,definition, % 0.55/0.68 ! [W0] : % 0.55/0.68 ( aElement0(W0) % 0.55/0.68 => ! [W1] : % 0.55/0.68 ( W1 = slsdtgt0(W0) % 0.55/0.68 <=> ( aSet0(W1) % 0.55/0.68 & ! [W2] : % 0.55/0.68 ( aElementOf0(W2,W1) % 0.55/0.68 <=> ? [W3] : % 0.55/0.68 ( aElement0(W3) % 0.55/0.68 & sdtasdt0(W0,W3) = W2 ) ) ) ) ) ). % 0.55/0.68 % 0.55/0.68 fof(mPrIdeal,axiom, % 0.55/0.68 ! [W0] : % 0.55/0.68 ( aElement0(W0) % 0.55/0.68 => aIdeal0(slsdtgt0(W0)) ) ). % 0.55/0.68 % 0.55/0.68 fof(m__2091,hypothesis, % 0.55/0.68 ( aElement0(xa) % 0.55/0.68 & aElement0(xb) ) ). % 0.55/0.68 % 0.55/0.68 fof(m__2110,hypothesis, % 0.55/0.68 ( xa != sz00 % 0.55/0.68 | xb != sz00 ) ). % 0.55/0.68 % 0.55/0.68 fof(m__2129,hypothesis, % 0.55/0.68 ( aElement0(xc) % 0.55/0.68 & ? [W0] : % 0.55/0.68 ( aElement0(W0) % 0.55/0.68 & sdtasdt0(xc,W0) = xa ) % 0.55/0.68 & doDivides0(xc,xa) % 0.55/0.68 & aDivisorOf0(xc,xa) % 0.55/0.68 & aElement0(xc) % 0.55/0.68 & ? [W0] : % 0.55/0.68 ( aElement0(W0) % 0.55/0.68 & sdtasdt0(xc,W0) = xb ) % 0.55/0.68 & doDivides0(xc,xb) % 0.55/0.68 & aDivisorOf0(xc,xb) % 0.55/0.68 & ! [W0] : % 0.55/0.68 ( ( ( ( aElement0(W0) % 0.55/0.68 & ( ? [W1] : % 0.55/0.68 ( aElement0(W1) % 0.55/0.68 & sdtasdt0(W0,W1) = xa ) % 0.55/0.68 | doDivides0(W0,xa) ) ) % 0.55/0.68 | aDivisorOf0(W0,xa) ) % 0.55/0.68 & ( ? [W1] : % 0.55/0.68 ( aElement0(W1) % 0.55/0.68 & sdtasdt0(W0,W1) = xb ) % 0.55/0.68 | doDivides0(W0,xb) % 0.55/0.68 | aDivisorOf0(W0,xb) ) ) % 0.55/0.68 => ( ? [W1] : % 0.55/0.68 ( aElement0(W1) % 0.55/0.68 & sdtasdt0(W0,W1) = xc ) % 0.55/0.68 & doDivides0(W0,xc) ) ) % 0.55/0.68 & aGcdOfAnd0(xc,xa,xb) ) ). % 0.55/0.68 % 0.55/0.68 fof(m__2174,hypothesis, % 0.55/0.68 ( aSet0(xI) % 0.55/0.68 & ! [W0] : % 0.55/0.68 ( aElementOf0(W0,xI) % 0.55/0.68 => ( ! [W1] : % 0.55/0.68 ( aElementOf0(W1,xI) % 0.55/0.68 => aElementOf0(sdtpldt0(W0,W1),xI) ) % 0.55/0.68 & ! [W1] : % 0.55/0.68 ( aElement0(W1) % 0.55/0.68 => aElementOf0(sdtasdt0(W1,W0),xI) ) ) ) % 0.55/0.68 & aIdeal0(xI) % 0.55/0.68 & ! [W0] : % 0.55/0.68 ( aElementOf0(W0,slsdtgt0(xa)) % 0.55/0.68 <=> ? [W1] : % 0.55/0.68 ( aElement0(W1) % 0.55/0.68 & sdtasdt0(xa,W1) = W0 ) ) % 0.55/0.68 & ! [W0] : % 0.55/0.68 ( aElementOf0(W0,slsdtgt0(xb)) % 0.55/0.68 <=> ? [W1] : % 0.55/0.68 ( aElement0(W1) % 0.55/0.68 & sdtasdt0(xb,W1) = W0 ) ) % 0.55/0.68 & ! [W0] : % 0.55/0.68 ( aElementOf0(W0,xI) % 0.55/0.68 <=> ? [W1,W2] : % 0.55/0.68 ( aElementOf0(W1,slsdtgt0(xa)) % 0.55/0.68 & aElementOf0(W2,slsdtgt0(xb)) % 0.55/0.68 & sdtpldt0(W1,W2) = W0 ) ) % 0.55/0.68 & xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ) ). % 0.55/0.68 % 0.55/0.68 fof(m__2203,hypothesis, % 0.55/0.68 ( ? [W0] : % 0.55/0.68 ( aElement0(W0) % 0.55/0.68 & sdtasdt0(xa,W0) = sz00 ) % 0.55/0.68 & aElementOf0(sz00,slsdtgt0(xa)) % 0.55/0.68 & ? [W0] : % 0.55/0.68 ( aElement0(W0) % 0.55/0.68 & sdtasdt0(xa,W0) = xa ) % 0.55/0.68 & aElementOf0(xa,slsdtgt0(xa)) % 0.55/0.68 & ? [W0] : % 0.55/0.68 ( aElement0(W0) % 0.55/0.68 & sdtasdt0(xb,W0) = sz00 ) % 0.55/0.68 & aElementOf0(sz00,slsdtgt0(xb)) % 0.55/0.68 & ? [W0] : % 0.55/0.68 ( aElement0(W0) % 0.55/0.68 & sdtasdt0(xb,W0) = xb ) % 0.55/0.68 & aElementOf0(xb,slsdtgt0(xb)) ) ). % 0.55/0.68 % 0.55/0.68 fof(m__2228,hypothesis, % 0.55/0.68 ? [W0] : % 0.55/0.68 ( ! [W1] : % 0.55/0.68 ( aElementOf0(W1,slsdtgt0(xa)) % 0.55/0.68 <=> ? [W2] : % 0.55/0.68 ( aElement0(W2) % 0.55/0.68 & sdtasdt0(xa,W2) = W1 ) ) % 0.55/0.68 & ! [W1] : % 0.55/0.68 ( aElementOf0(W1,slsdtgt0(xb)) % 0.55/0.68 <=> ? [W2] : % 0.55/0.68 ( aElement0(W2) % 0.55/0.68 & sdtasdt0(xb,W2) = W1 ) ) % 0.55/0.68 & ? [W1,W2] : % 0.55/0.68 ( aElementOf0(W1,slsdtgt0(xa)) % 0.55/0.68 & aElementOf0(W2,slsdtgt0(xb)) % 0.55/0.68 & sdtpldt0(W1,W2) = W0 ) % 0.55/0.68 & aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) % 0.55/0.68 & W0 != sz00 ) ). % 0.55/0.68 % 0.55/0.68 fof(m__2273,hypothesis, % 0.55/0.68 ( ? [W0,W1] : % 0.55/0.68 ( aElementOf0(W0,slsdtgt0(xa)) % 0.55/0.68 & aElementOf0(W1,slsdtgt0(xb)) % 0.55/0.68 & sdtpldt0(W0,W1) = xu ) % 0.55/0.68 & aElementOf0(xu,xI) % 0.55/0.68 & xu != sz00 % 0.55/0.68 & ! [W0] : % 0.55/0.68 ( ( ( ? [W1,W2] : % 0.55/0.68 ( aElementOf0(W1,slsdtgt0(xa)) % 0.55/0.68 & aElementOf0(W2,slsdtgt0(xb)) % 0.55/0.68 & sdtpldt0(W1,W2) = W0 ) % 0.55/0.68 | aElementOf0(W0,xI) ) % 0.55/0.68 & W0 != sz00 ) % 0.55/0.68 => ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ) ). % 0.55/0.68 % 0.55/0.68 fof(m__2383,hypothesis, % 0.55/0.68 ~ ( ( ? [W0] : % 0.55/0.68 ( aElement0(W0) % 0.55/0.68 & sdtasdt0(xu,W0) = xa ) % 0.55/0.68 | doDivides0(xu,xa) % 0.55/0.68 | aDivisorOf0(xu,xa) ) % 0.55/0.68 & ( ? [W0] : % 0.55/0.68 ( aElement0(W0) % 0.55/0.68 & sdtasdt0(xu,W0) = xb ) % 0.55/0.68 | doDivides0(xu,xb) % 0.55/0.68 | aDivisorOf0(xu,xb) ) ) ). % 0.55/0.68 % 0.55/0.68 fof(m__2416,hypothesis, % 0.55/0.68 ? [W0,W1] : % 0.55/0.68 ( aElement0(W0) % 0.55/0.68 & aElement0(W1) % 0.55/0.68 & xu = sdtpldt0(sdtasdt0(xa,W0),sdtasdt0(xb,W1)) ) ). % 0.55/0.68 % 0.55/0.68 fof(m__2479,hypothesis, % 0.55/0.68 ~ ~ ( ? [W0] : % 0.55/0.68 ( aElement0(W0) % 0.55/0.68 & sdtasdt0(xu,W0) = xa ) % 0.55/0.68 & doDivides0(xu,xa) ) ). % 0.55/0.68 % 0.55/0.68 fof(m__2612,hypothesis, % 0.55/0.68 ~ ~ ( ? [W0] : % 0.55/0.68 ( aElement0(W0) % 0.55/0.68 & sdtasdt0(xu,W0) = xb ) % 0.55/0.68 & doDivides0(xu,xb) ) ). % 0.55/0.68 % 0.55/0.68 fof(m__,conjecture, % 0.55/0.68 $false ). % 0.55/0.68 % 0.55/0.68 %------------------------------------------------------------------------------ % 0.55/0.68 %------------------------------------------- % 0.55/0.68 % Proof found % 0.55/0.68 % SZS status Theorem for theBenchmark % 0.55/0.68 % SZS output start Proof % 0.55/0.68 %ClaNum:283(EqnAxiom:90) % 0.55/0.68 %VarNum:917(SingletonVarNum:290) % 0.55/0.68 %MaxLitNum:8 % 0.55/0.68 %MaxfuncDepth:2 % 0.55/0.68 %SharedTerms:95 % 0.55/0.68 [91]P1(a1) % 0.55/0.68 [92]P1(a51) % 0.55/0.68 [93]P1(a52) % 0.55/0.68 [94]P1(a54) % 0.55/0.68 [96]P1(a55) % 0.55/0.68 [97]P1(a2) % 0.55/0.68 [98]P1(a15) % 0.55/0.68 [99]P1(a16) % 0.55/0.68 [100]P1(a22) % 0.55/0.68 [101]P1(a23) % 0.55/0.68 [102]P1(a25) % 0.55/0.68 [103]P1(a26) % 0.55/0.68 [104]P1(a34) % 0.55/0.68 [105]P1(a36) % 0.55/0.68 [106]P1(a37) % 0.55/0.68 [107]P3(a53) % 0.55/0.68 [108]P4(a53) % 0.55/0.68 [119]P5(a56,a53) % 0.55/0.68 [120]P8(a55,a52) % 0.55/0.68 [121]P8(a55,a54) % 0.55/0.68 [122]P8(a56,a52) % 0.55/0.68 [123]P8(a56,a54) % 0.55/0.68 [124]P2(a55,a52) % 0.55/0.68 [125]P2(a55,a54) % 0.55/0.68 [135]P6(a55,a52,a54) % 0.55/0.68 [138]~E(a1,a51) % 0.55/0.68 [139]~E(a1,a56) % 0.55/0.68 [140]~E(a1,a28) % 0.55/0.68 [109]E(f38(a27,a31),a28) % 0.55/0.68 [110]E(f38(a32,a33),a56) % 0.55/0.68 [111]E(f39(a52,a16),a1) % 0.55/0.68 [112]E(f39(a52,a22),a52) % 0.55/0.68 [113]E(f39(a54,a23),a1) % 0.55/0.68 [114]E(f39(a54,a25),a54) % 0.55/0.68 [115]E(f39(a55,a2),a52) % 0.55/0.68 [116]E(f39(a55,a15),a54) % 0.55/0.68 [117]E(f39(a56,a36),a52) % 0.55/0.68 [118]E(f39(a56,a37),a54) % 0.55/0.68 [126]P5(a1,f48(a52)) % 0.55/0.68 [127]P5(a1,f48(a54)) % 0.55/0.68 [128]P5(a52,f48(a52)) % 0.55/0.68 [129]P5(a54,f48(a54)) % 0.55/0.68 [130]P5(a27,f48(a52)) % 0.55/0.68 [131]P5(a31,f48(a54)) % 0.55/0.68 [132]P5(a32,f48(a52)) % 0.55/0.68 [133]P5(a33,f48(a54)) % 0.55/0.68 [134]E(f49(f48(a52),f48(a54)),a53) % 0.55/0.68 [136]P5(a28,f49(f48(a52),f48(a54))) % 0.55/0.68 [137]E(f38(f39(a52,a26),f39(a54,a34)),a56) % 0.55/0.68 [141]~E(a1,a52)+~E(a1,a54) % 0.55/0.68 [160]~P8(a56,a52)+~P8(a56,a54) % 0.55/0.68 [161]~P8(a56,a52)+~P2(a56,a54) % 0.55/0.68 [162]~P8(a56,a54)+~P2(a56,a52) % 0.55/0.68 [163]~P2(a56,a52)+~P2(a56,a54) % 0.55/0.68 [142]~P4(x1421)+P3(x1421) % 0.55/0.68 [143]~P1(x1431)+P1(f50(x1431)) % 0.55/0.68 [144]~P1(x1441)+P4(f48(x1441)) % 0.55/0.68 [146]~P1(x1461)+E(f39(a1,x1461),a1) % 0.55/0.68 [147]~P1(x1471)+E(f39(x1471,a1),a1) % 0.55/0.68 [149]~P1(x1491)+E(f38(a1,x1491),x1491) % 0.55/0.68 [150]~P1(x1501)+E(f39(a51,x1501),x1501) % 0.55/0.68 [151]~P1(x1511)+E(f38(x1511,a1),x1511) % 0.55/0.68 [152]~P1(x1521)+E(f39(x1521,a51),x1521) % 0.55/0.68 [164]~P5(x1641,f48(a52))+P1(f17(x1641)) % 0.55/0.68 [165]~P5(x1651,f48(a54))+P1(f19(x1651)) % 0.55/0.68 [166]~P5(x1661,f48(a52))+P1(f29(x1661)) % 0.55/0.68 [167]~P5(x1671,f48(a54))+P1(f30(x1671)) % 0.55/0.68 [174]~P5(x1741,a53)+P5(f20(x1741),f48(a52)) % 0.55/0.68 [175]~P5(x1751,a53)+P5(f21(x1751),f48(a54)) % 0.55/0.68 [153]~P1(x1531)+E(f38(f50(x1531),x1531),a1) % 0.55/0.68 [154]~P1(x1541)+E(f38(x1541,f50(x1541)),a1) % 0.55/0.68 [155]~P1(x1551)+E(f39(x1551,f50(a51)),f50(x1551)) % 0.55/0.68 [156]~P1(x1561)+E(f39(f50(a51),x1561),f50(x1561)) % 0.55/0.68 [191]~P5(x1911,f48(a52))+E(f39(a52,f17(x1911)),x1911) % 0.55/0.68 [192]~P5(x1921,f48(a52))+E(f39(a52,f29(x1921)),x1921) % 0.55/0.68 [193]~P5(x1931,f48(a54))+E(f39(a54,f19(x1931)),x1931) % 0.55/0.68 [194]~P5(x1941,f48(a54))+E(f39(a54,f30(x1941)),x1941) % 0.55/0.68 [195]~P5(x1951,a53)+E(f38(f20(x1951),f21(x1951)),x1951) % 0.55/0.68 [199]~P8(x1991,a54)+~P2(x1991,a52)+P8(x1991,a55) % 0.55/0.68 [200]~P2(x2001,a52)+~P2(x2001,a54)+P8(x2001,a55) % 0.55/0.68 [145]~P1(x1451)+E(x1451,a1)+P7(f40(x1451)) % 0.55/0.68 [157]~P3(x1571)+P4(x1571)+P5(f41(x1571),x1571) % 0.55/0.68 [181]~P1(x1811)+~P8(a56,a54)+~E(f39(a56,x1811),a52) % 0.55/0.68 [182]~P1(x1821)+~P2(a56,a54)+~E(f39(a56,x1821),a52) % 0.55/0.68 [183]~P1(x1831)+~P8(a56,a52)+~E(f39(a56,x1831),a54) % 0.55/0.68 [184]~P1(x1841)+~P2(a56,a52)+~E(f39(a56,x1841),a54) % 0.55/0.68 [196]~P8(x1961,a54)+~P2(x1961,a52)+P1(f18(x1961)) % 0.55/0.68 [197]~P2(x1971,a52)+~P2(x1971,a54)+P1(f18(x1971)) % 0.55/0.68 [204]~P5(x2041,a53)+E(x2041,a1)+~P9(f40(x2041),f40(a56)) % 0.55/0.68 [210]~P8(x2101,a54)+~P2(x2101,a52)+E(f39(x2101,f18(x2101)),a55) % 0.55/0.68 [211]~P2(x2111,a52)+~P2(x2111,a54)+E(f39(x2111,f18(x2111)),a55) % 0.55/0.68 [158]~P5(x1581,x1582)+P1(x1581)+~P3(x1582) % 0.55/0.68 [159]~P2(x1591,x1592)+P1(x1591)+~P1(x1592) % 0.55/0.68 [176]~P1(x1762)+~P2(x1761,x1762)+P8(x1761,x1762) % 0.55/0.68 [148]~P1(x1482)+P3(x1481)+~E(x1481,f48(x1482)) % 0.55/0.68 [169]~P1(x1692)+~P1(x1691)+E(f38(x1691,x1692),f38(x1692,x1691)) % 0.55/0.68 [170]~P1(x1702)+~P1(x1701)+E(f39(x1701,x1702),f39(x1702,x1701)) % 0.55/0.68 [177]~P1(x1772)+~P1(x1771)+P1(f38(x1771,x1772)) % 0.55/0.68 [178]~P1(x1782)+~P1(x1781)+P1(f39(x1781,x1782)) % 0.55/0.68 [179]~P4(x1792)+~P4(x1791)+P4(f49(x1791,x1792)) % 0.55/0.68 [180]~P4(x1802)+~P4(x1801)+P4(f47(x1801,x1802)) % 0.55/0.68 [186]~P1(x1862)+~E(f39(a52,x1862),x1861)+P5(x1861,f48(a52)) % 0.55/0.68 [188]~P1(x1882)+~E(f39(a54,x1882),x1881)+P5(x1881,f48(a54)) % 0.55/0.68 [213]~P1(x2131)+~P5(x2132,a53)+P5(f39(x2131,x2132),a53) % 0.55/0.68 [232]~P5(x2321,a53)+~P5(x2322,a53)+P5(f38(x2321,x2322),a53) % 0.55/0.68 [206]~P1(x2061)+~P8(x2061,a52)+~P8(x2061,a54)+P8(x2061,a55) % 0.55/0.68 [207]~P1(x2071)+~P8(x2071,a52)+~P2(x2071,a54)+P8(x2071,a55) % 0.55/0.68 [173]~P3(x1731)+P4(x1731)+P5(f4(x1731),x1731)+P1(f3(x1731)) % 0.55/0.68 [202]~P1(x2021)+~P8(x2021,a52)+~P8(x2021,a54)+P1(f18(x2021)) % 0.55/0.68 [203]~P1(x2031)+~P8(x2031,a52)+~P2(x2031,a54)+P1(f18(x2031)) % 0.55/0.68 [218]~P1(x2181)+~P8(x2181,a52)+~P8(x2181,a54)+E(f39(x2181,f18(x2181)),a55) % 0.55/0.68 [219]~P1(x2191)+~P8(x2191,a52)+~P2(x2191,a54)+E(f39(x2191,f18(x2191)),a55) % 0.55/0.68 [252]~P3(x2521)+P4(x2521)+P1(f3(x2521))+~P5(f38(f41(x2521),f4(x2521)),x2521) % 0.55/0.68 [255]~P3(x2551)+P4(x2551)+P5(f4(x2551),x2551)+~P5(f39(f3(x2551),f41(x2551)),x2551) % 0.55/0.68 [264]~P3(x2641)+P4(x2641)+~P5(f38(f41(x2641),f4(x2641)),x2641)+~P5(f39(f3(x2641),f41(x2641)),x2641) % 0.55/0.68 [198]~P1(x1982)+~P1(x1981)+~P8(x1981,x1982)+P2(x1981,x1982) % 0.55/0.68 [235]~P1(x2352)+~P1(x2351)+~P10(x2351,x2352)+P6(a51,x2351,x2352) % 0.55/0.68 [244]~P1(x2442)+~P1(x2441)+P10(x2441,x2442)+~P6(a51,x2441,x2442) % 0.55/0.68 [189]~P1(x1891)+~P1(x1892)+E(x1891,a1)+P1(f5(x1892,x1891)) % 0.55/0.68 [190]~P1(x1901)+~P1(x1902)+E(x1901,a1)+P1(f8(x1902,x1901)) % 0.55/0.68 [201]~P1(x2011)+~P1(x2012)+~E(f39(a56,x2011),a52)+~E(f39(a56,x2012),a54) % 0.55/0.68 [208]~P1(x2082)+~P2(x2081,a52)+P1(f18(x2081))+~E(f39(x2081,x2082),a54) % 0.55/0.68 [212]~P1(x2122)+~P2(x2121,a52)+P8(x2121,a55)+~E(f39(x2121,x2122),a54) % 0.55/0.68 [214]~P1(x2142)+~P1(x2141)+~P8(x2141,x2142)+P1(f9(x2141,x2142)) % 0.55/0.68 [223]~P1(x2232)+~P2(x2231,a52)+~E(f39(x2231,x2232),a54)+E(f39(x2231,f18(x2231)),a55) % 0.55/0.68 [231]~P1(x2312)+~P1(x2311)+~P8(x2311,x2312)+E(f39(x2311,f9(x2311,x2312)),x2312) % 0.55/0.68 [257]~P1(x2571)+~P1(x2572)+E(x2571,a1)+E(f38(f39(f5(x2572,x2571),x2571),f8(x2572,x2571)),x2572) % 0.55/0.68 [246]~P1(x2462)+~P6(x2461,x2463,x2462)+P2(x2461,x2462)+~P1(x2463) % 0.55/0.68 [247]~P1(x2472)+~P6(x2471,x2472,x2473)+P2(x2471,x2472)+~P1(x2473) % 0.55/0.68 [171]~P3(x1713)+~P3(x1712)+P3(x1711)+~E(x1711,f49(x1712,x1713)) % 0.55/0.68 [172]~P3(x1723)+~P3(x1722)+P3(x1721)+~E(x1721,f47(x1722,x1723)) % 0.55/0.68 [226]~P1(x2261)+~P4(x2263)+~P5(x2262,x2263)+P5(f39(x2261,x2262),x2263) % 0.55/0.68 [237]P5(x2371,a53)+~E(f38(x2372,x2373),x2371)+~P5(x2373,f48(a54))+~P5(x2372,f48(a52)) % 0.55/0.68 [238]~P4(x2383)+~P5(x2381,x2383)+~P5(x2382,x2383)+P5(f38(x2381,x2382),x2383) % 0.55/0.68 [259]~P1(x2591)+~P5(x2593,x2592)+~E(x2592,f48(x2591))+P1(f12(x2591,x2592,x2593)) % 0.55/0.68 [241]~P1(x2413)+~P1(x2412)+~P1(x2411)+E(f38(f38(x2411,x2412),x2413),f38(x2411,f38(x2412,x2413))) % 0.55/0.68 [242]~P1(x2423)+~P1(x2422)+~P1(x2421)+E(f39(f39(x2421,x2422),x2423),f39(x2421,f39(x2422,x2423))) % 0.55/0.68 [253]~P1(x2533)+~P1(x2532)+~P1(x2531)+E(f38(f39(x2531,x2532),f39(x2531,x2533)),f39(x2531,f38(x2532,x2533))) % 0.55/0.68 [254]~P1(x2542)+~P1(x2543)+~P1(x2541)+E(f38(f39(x2541,x2542),f39(x2543,x2542)),f39(f38(x2541,x2543),x2542)) % 0.55/0.68 [261]~P1(x2611)+~P5(x2613,x2612)+~E(x2612,f48(x2611))+E(f39(x2611,f12(x2611,x2612,x2613)),x2613) % 0.55/0.68 [168]~P1(x1681)+~P1(x1682)+E(x1681,a1)+E(x1682,a1)+~E(f39(x1682,x1681),a1) % 0.55/0.68 [215]~P1(x2152)+~P1(x2151)+~P8(x2151,a54)+P1(f18(x2151))+~E(f39(x2151,x2152),a52) % 0.55/0.68 [216]~P1(x2162)+~P1(x2161)+~P2(x2161,a54)+P1(f18(x2161))+~E(f39(x2161,x2162),a52) % 0.55/0.68 [217]~P1(x2172)+~P1(x2171)+~P8(x2171,a52)+P1(f18(x2171))+~E(f39(x2171,x2172),a54) % 0.55/0.68 [220]~P1(x2202)+~P1(x2201)+~P8(x2201,a54)+P8(x2201,a55)+~E(f39(x2201,x2202),a52) % 0.55/0.68 [221]~P1(x2212)+~P1(x2211)+~P2(x2211,a54)+P8(x2211,a55)+~E(f39(x2211,x2212),a52) % 0.55/0.68 [222]~P1(x2222)+~P1(x2221)+~P8(x2221,a52)+P8(x2221,a55)+~E(f39(x2221,x2222),a54) % 0.55/0.68 [236]~P1(x2362)+~P3(x2361)+P5(f11(x2362,x2361),x2361)+E(x2361,f48(x2362))+P1(f10(x2362,x2361)) % 0.55/0.68 [239]~P3(x2392)+~P3(x2391)+E(x2391,x2392)+P5(f14(x2391,x2392),x2391)+P5(f24(x2391,x2392),x2392) % 0.55/0.68 [249]~P3(x2492)+~P3(x2491)+E(x2491,x2492)+P5(f14(x2491,x2492),x2491)+~P5(f24(x2491,x2492),x2491) % 0.55/0.68 [250]~P3(x2502)+~P3(x2501)+E(x2501,x2502)+P5(f24(x2501,x2502),x2502)+~P5(f14(x2501,x2502),x2502) % 0.55/0.68 [258]~P3(x2582)+~P3(x2581)+E(x2581,x2582)+~P5(f14(x2581,x2582),x2582)+~P5(f24(x2581,x2582),x2581) % 0.55/0.68 [228]~P1(x2282)+~P1(x2281)+~P8(x2281,a54)+~E(f39(x2281,x2282),a52)+E(f39(x2281,f18(x2281)),a55) % 0.55/0.68 [229]~P1(x2292)+~P1(x2291)+~P2(x2291,a54)+~E(f39(x2291,x2292),a52)+E(f39(x2291,f18(x2291)),a55) % 0.55/0.68 [230]~P1(x2302)+~P1(x2301)+~P8(x2301,a52)+~E(f39(x2301,x2302),a54)+E(f39(x2301,f18(x2301)),a55) % 0.55/0.68 [243]~P1(x2431)+~P1(x2432)+E(x2431,a1)+P9(f40(f8(x2432,x2431)),f40(x2431))+E(f8(x2432,x2431),a1) % 0.55/0.68 [245]~P1(x2452)+~P3(x2451)+P5(f11(x2452,x2451),x2451)+E(x2451,f48(x2452))+E(f39(x2452,f10(x2452,x2451)),f11(x2452,x2451)) % 0.55/0.68 [205]~P1(x2052)+~P1(x2051)+~P1(x2053)+P8(x2051,x2052)+~E(f39(x2051,x2053),x2052) % 0.55/0.68 [248]E(x2481,a1)+~E(f38(x2482,x2483),x2481)+~P5(x2483,f48(a54))+~P5(x2482,f48(a52))+~P9(f40(x2481),f40(a56)) % 0.55/0.68 [260]~P1(x2602)+~P1(x2601)+~P4(x2603)+P11(x2601,x2602,x2603)+~P5(f38(x2601,f50(x2602)),x2603) % 0.55/0.68 [262]~P1(x2622)+~P1(x2621)+~P4(x2623)+~P11(x2621,x2622,x2623)+P5(f38(x2621,f50(x2622)),x2623) % 0.55/0.68 [209]~P1(x2093)+~P1(x2094)+P5(x2091,x2092)+~E(f39(x2093,x2094),x2091)+~E(x2092,f48(x2093)) % 0.55/0.68 [224]~P3(x2244)+~P3(x2242)+~P5(x2241,x2243)+P5(x2241,x2242)+~E(x2243,f47(x2244,x2242)) % 0.55/0.68 [225]~P3(x2254)+~P3(x2252)+~P5(x2251,x2253)+P5(x2251,x2252)+~E(x2253,f47(x2252,x2254)) % 0.55/0.68 [275]~P3(x2752)+~P3(x2751)+~P5(x2754,x2753)+~E(x2753,f49(x2751,x2752))+P5(f35(x2751,x2752,x2753,x2754),x2751) % 0.55/0.68 [276]~P3(x2762)+~P3(x2761)+~P5(x2764,x2763)+~E(x2763,f49(x2761,x2762))+P5(f43(x2761,x2762,x2763,x2764),x2762) % 0.55/0.68 [283]~P3(x2832)+~P3(x2831)+~P5(x2834,x2833)+~E(x2833,f49(x2831,x2832))+E(f38(f35(x2831,x2832,x2833,x2834),f43(x2831,x2832,x2833,x2834)),x2834) % 0.55/0.68 [227]~P1(x2272)+~P1(x2273)+~P1(x2271)+P1(f18(x2271))+~E(f39(x2271,x2272),a52)+~E(f39(x2271,x2273),a54) % 0.55/0.68 [233]~P1(x2332)+~P1(x2333)+~P1(x2331)+P8(x2331,a55)+~E(f39(x2331,x2332),a52)+~E(f39(x2331,x2333),a54) % 0.55/0.68 [256]~P1(x2563)+~P1(x2562)+~P3(x2561)+~P5(f11(x2562,x2561),x2561)+~E(f11(x2562,x2561),f39(x2562,x2563))+E(x2561,f48(x2562)) % 0.55/0.68 [265]~P1(x2653)+~P1(x2652)+~P2(x2651,x2653)+~P2(x2651,x2652)+P6(x2651,x2652,x2653)+P2(f13(x2652,x2653,x2651),x2653) % 0.55/0.68 [266]~P1(x2663)+~P1(x2662)+~P2(x2661,x2663)+~P2(x2661,x2662)+P6(x2661,x2662,x2663)+P2(f13(x2662,x2663,x2661),x2662) % 0.55/0.68 [267]~P3(x2671)+~P3(x2673)+~P3(x2672)+P5(f42(x2672,x2673,x2671),x2671)+P5(f44(x2672,x2673,x2671),x2672)+E(x2671,f49(x2672,x2673)) % 0.55/0.68 [268]~P3(x2681)+~P3(x2683)+~P3(x2682)+P5(f42(x2682,x2683,x2681),x2681)+P5(f45(x2682,x2683,x2681),x2683)+E(x2681,f49(x2682,x2683)) % 0.55/0.68 [269]~P3(x2691)+~P3(x2693)+~P3(x2692)+P5(f46(x2692,x2693,x2691),x2691)+P5(f46(x2692,x2693,x2691),x2693)+E(x2691,f47(x2692,x2693)) % 0.55/0.68 [270]~P3(x2701)+~P3(x2703)+~P3(x2702)+P5(f46(x2702,x2703,x2701),x2701)+P5(f46(x2702,x2703,x2701),x2702)+E(x2701,f47(x2702,x2703)) % 0.55/0.68 [271]~P1(x2713)+~P1(x2712)+~P2(x2711,x2713)+~P2(x2711,x2712)+P6(x2711,x2712,x2713)+~P8(f13(x2712,x2713,x2711),x2711) % 0.55/0.68 [234]~P1(x2342)+~P1(x2343)+~P1(x2341)+~E(f39(x2341,x2342),a52)+~E(f39(x2341,x2343),a54)+E(f39(x2341,f18(x2341)),a55) % 0.55/0.68 [273]~P3(x2731)+~P3(x2733)+~P3(x2732)+P5(f42(x2732,x2733,x2731),x2731)+E(x2731,f49(x2732,x2733))+E(f38(f44(x2732,x2733,x2731),f45(x2732,x2733,x2731)),f42(x2732,x2733,x2731)) % 0.55/0.68 [263]~P2(x2631,x2633)+~P2(x2631,x2634)+~P6(x2632,x2634,x2633)+P8(x2631,x2632)+~P1(x2633)+~P1(x2634) % 0.55/0.68 [240]~P3(x2404)+~P3(x2403)+~P5(x2401,x2404)+~P5(x2401,x2403)+P5(x2401,x2402)+~E(x2402,f47(x2403,x2404)) % 0.55/0.68 [274]~P1(x2744)+~P1(x2743)+~P4(x2742)+~P4(x2741)+P1(f6(x2741,x2742))+P1(f7(x2741,x2742,x2743,x2744)) % 0.55/0.68 [277]~P1(x2774)+~P1(x2773)+~P4(x2772)+~P4(x2771)+P11(f7(x2771,x2772,x2773,x2774),x2774,x2772)+P1(f6(x2771,x2772)) % 0.55/0.68 [278]~P1(x2784)+~P1(x2783)+~P4(x2782)+~P4(x2781)+P11(f7(x2781,x2782,x2783,x2784),x2783,x2781)+P1(f6(x2781,x2782)) % 0.55/0.68 [280]~P1(x2804)+~P1(x2803)+~P4(x2802)+~P4(x2801)+~P5(f6(x2801,x2802),f49(x2801,x2802))+P1(f7(x2801,x2802,x2803,x2804)) % 0.55/0.68 [281]~P1(x2814)+~P1(x2813)+~P4(x2812)+~P4(x2811)+P11(f7(x2811,x2812,x2813,x2814),x2814,x2812)+~P5(f6(x2811,x2812),f49(x2811,x2812)) % 0.55/0.68 [282]~P1(x2824)+~P1(x2823)+~P4(x2822)+~P4(x2821)+P11(f7(x2821,x2822,x2823,x2824),x2823,x2821)+~P5(f6(x2821,x2822),f49(x2821,x2822)) % 0.55/0.68 [279]~P3(x2791)+~P3(x2793)+~P3(x2792)+~P5(f46(x2792,x2793,x2791),x2791)+~P5(f46(x2792,x2793,x2791),x2793)+~P5(f46(x2792,x2793,x2791),x2792)+E(x2791,f47(x2792,x2793)) % 0.55/0.68 [251]~P3(x2514)+~P3(x2513)+~P5(x2516,x2514)+~P5(x2515,x2513)+P5(x2511,x2512)+~E(x2512,f49(x2513,x2514))+~E(f38(x2515,x2516),x2511) % 0.55/0.68 [272]~P3(x2721)+~P3(x2723)+~P3(x2722)+~P5(x2725,x2723)+~P5(x2724,x2722)+~P5(f42(x2722,x2723,x2721),x2721)+E(x2721,f49(x2722,x2723))+~E(f38(x2724,x2725),f42(x2722,x2723,x2721)) % 0.55/0.68 %EqnAxiom % 0.55/0.68 [1]E(x11,x11) % 0.55/0.68 [2]E(x22,x21)+~E(x21,x22) % 0.55/0.68 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.55/0.68 [4]~E(x41,x42)+E(f38(x41,x43),f38(x42,x43)) % 0.55/0.68 [5]~E(x51,x52)+E(f38(x53,x51),f38(x53,x52)) % 0.55/0.68 [6]~E(x61,x62)+E(f49(x61,x63),f49(x62,x63)) % 0.55/0.68 [7]~E(x71,x72)+E(f49(x73,x71),f49(x73,x72)) % 0.55/0.68 [8]~E(x81,x82)+E(f39(x81,x83),f39(x82,x83)) % 0.55/0.68 [9]~E(x91,x92)+E(f39(x93,x91),f39(x93,x92)) % 0.55/0.68 [10]~E(x101,x102)+E(f42(x101,x103,x104),f42(x102,x103,x104)) % 0.55/0.68 [11]~E(x111,x112)+E(f42(x113,x111,x114),f42(x113,x112,x114)) % 0.55/0.68 [12]~E(x121,x122)+E(f42(x123,x124,x121),f42(x123,x124,x122)) % 0.55/0.68 [13]~E(x131,x132)+E(f45(x131,x133,x134),f45(x132,x133,x134)) % 0.55/0.68 [14]~E(x141,x142)+E(f45(x143,x141,x144),f45(x143,x142,x144)) % 0.55/0.68 [15]~E(x151,x152)+E(f45(x153,x154,x151),f45(x153,x154,x152)) % 0.55/0.68 [16]~E(x161,x162)+E(f44(x161,x163,x164),f44(x162,x163,x164)) % 0.55/0.68 [17]~E(x171,x172)+E(f44(x173,x171,x174),f44(x173,x172,x174)) % 0.55/0.68 [18]~E(x181,x182)+E(f44(x183,x184,x181),f44(x183,x184,x182)) % 0.55/0.68 [19]~E(x191,x192)+E(f46(x191,x193,x194),f46(x192,x193,x194)) % 0.55/0.68 [20]~E(x201,x202)+E(f46(x203,x201,x204),f46(x203,x202,x204)) % 0.55/0.68 [21]~E(x211,x212)+E(f46(x213,x214,x211),f46(x213,x214,x212)) % 0.55/0.68 [22]~E(x221,x222)+E(f47(x221,x223),f47(x222,x223)) % 0.55/0.68 [23]~E(x231,x232)+E(f47(x233,x231),f47(x233,x232)) % 0.55/0.68 [24]~E(x241,x242)+E(f13(x241,x243,x244),f13(x242,x243,x244)) % 0.55/0.68 [25]~E(x251,x252)+E(f13(x253,x251,x254),f13(x253,x252,x254)) % 0.55/0.68 [26]~E(x261,x262)+E(f13(x263,x264,x261),f13(x263,x264,x262)) % 0.55/0.68 [27]~E(x271,x272)+E(f40(x271),f40(x272)) % 0.55/0.68 [28]~E(x281,x282)+E(f48(x281),f48(x282)) % 0.55/0.68 [29]~E(x291,x292)+E(f11(x291,x293),f11(x292,x293)) % 0.55/0.68 [30]~E(x301,x302)+E(f11(x303,x301),f11(x303,x302)) % 0.55/0.68 [31]~E(x311,x312)+E(f8(x311,x313),f8(x312,x313)) % 0.55/0.68 [32]~E(x321,x322)+E(f8(x323,x321),f8(x323,x322)) % 0.55/0.68 [33]~E(x331,x332)+E(f18(x331),f18(x332)) % 0.55/0.68 [34]~E(x341,x342)+E(f6(x341,x343),f6(x342,x343)) % 0.55/0.68 [35]~E(x351,x352)+E(f6(x353,x351),f6(x353,x352)) % 0.55/0.68 [36]~E(x361,x362)+E(f30(x361),f30(x362)) % 0.55/0.68 [37]~E(x371,x372)+E(f7(x371,x373,x374,x375),f7(x372,x373,x374,x375)) % 0.55/0.68 [38]~E(x381,x382)+E(f7(x383,x381,x384,x385),f7(x383,x382,x384,x385)) % 0.55/0.68 [39]~E(x391,x392)+E(f7(x393,x394,x391,x395),f7(x393,x394,x392,x395)) % 0.55/0.68 [40]~E(x401,x402)+E(f7(x403,x404,x405,x401),f7(x403,x404,x405,x402)) % 0.55/0.68 [41]~E(x411,x412)+E(f3(x411),f3(x412)) % 0.55/0.68 [42]~E(x421,x422)+E(f14(x421,x423),f14(x422,x423)) % 0.55/0.68 [43]~E(x431,x432)+E(f14(x433,x431),f14(x433,x432)) % 0.55/0.68 [44]~E(x441,x442)+E(f19(x441),f19(x442)) % 0.55/0.68 [45]~E(x451,x452)+E(f24(x451,x453),f24(x452,x453)) % 0.55/0.68 [46]~E(x461,x462)+E(f24(x463,x461),f24(x463,x462)) % 0.55/0.68 [47]~E(x471,x472)+E(f41(x471),f41(x472)) % 0.55/0.68 [48]~E(x481,x482)+E(f10(x481,x483),f10(x482,x483)) % 0.55/0.68 [49]~E(x491,x492)+E(f10(x493,x491),f10(x493,x492)) % 0.55/0.68 [50]~E(x501,x502)+E(f29(x501),f29(x502)) % 0.55/0.68 [51]~E(x511,x512)+E(f35(x511,x513,x514,x515),f35(x512,x513,x514,x515)) % 0.55/0.68 [52]~E(x521,x522)+E(f35(x523,x521,x524,x525),f35(x523,x522,x524,x525)) % 0.55/0.68 [53]~E(x531,x532)+E(f35(x533,x534,x531,x535),f35(x533,x534,x532,x535)) % 0.55/0.68 [54]~E(x541,x542)+E(f35(x543,x544,x545,x541),f35(x543,x544,x545,x542)) % 0.55/0.68 [55]~E(x551,x552)+E(f50(x551),f50(x552)) % 0.55/0.68 [56]~E(x561,x562)+E(f43(x561,x563,x564,x565),f43(x562,x563,x564,x565)) % 0.55/0.68 [57]~E(x571,x572)+E(f43(x573,x571,x574,x575),f43(x573,x572,x574,x575)) % 0.55/0.68 [58]~E(x581,x582)+E(f43(x583,x584,x581,x585),f43(x583,x584,x582,x585)) % 0.55/0.68 [59]~E(x591,x592)+E(f43(x593,x594,x595,x591),f43(x593,x594,x595,x592)) % 0.55/0.68 [60]~E(x601,x602)+E(f21(x601),f21(x602)) % 0.55/0.68 [61]~E(x611,x612)+E(f20(x611),f20(x612)) % 0.55/0.68 [62]~E(x621,x622)+E(f17(x621),f17(x622)) % 0.55/0.68 [63]~E(x631,x632)+E(f9(x631,x633),f9(x632,x633)) % 0.55/0.68 [64]~E(x641,x642)+E(f9(x643,x641),f9(x643,x642)) % 0.55/0.68 [65]~E(x651,x652)+E(f4(x651),f4(x652)) % 0.55/0.68 [66]~E(x661,x662)+E(f5(x661,x663),f5(x662,x663)) % 0.55/0.69 [67]~E(x671,x672)+E(f5(x673,x671),f5(x673,x672)) % 0.55/0.69 [68]~E(x681,x682)+E(f12(x681,x683,x684),f12(x682,x683,x684)) % 0.55/0.69 [69]~E(x691,x692)+E(f12(x693,x691,x694),f12(x693,x692,x694)) % 0.55/0.69 [70]~E(x701,x702)+E(f12(x703,x704,x701),f12(x703,x704,x702)) % 0.55/0.69 [71]~P1(x711)+P1(x712)+~E(x711,x712) % 0.55/0.69 [72]P5(x722,x723)+~E(x721,x722)+~P5(x721,x723) % 0.55/0.69 [73]P5(x733,x732)+~E(x731,x732)+~P5(x733,x731) % 0.55/0.69 [74]~P3(x741)+P3(x742)+~E(x741,x742) % 0.55/0.69 [75]P11(x752,x753,x754)+~E(x751,x752)+~P11(x751,x753,x754) % 0.55/0.69 [76]P11(x763,x762,x764)+~E(x761,x762)+~P11(x763,x761,x764) % 0.55/0.69 [77]P11(x773,x774,x772)+~E(x771,x772)+~P11(x773,x774,x771) % 0.55/0.69 [78]P9(x782,x783)+~E(x781,x782)+~P9(x781,x783) % 0.55/0.69 [79]P9(x793,x792)+~E(x791,x792)+~P9(x793,x791) % 0.55/0.69 [80]~P4(x801)+P4(x802)+~E(x801,x802) % 0.55/0.69 [81]P2(x812,x813)+~E(x811,x812)+~P2(x811,x813) % 0.55/0.69 [82]P2(x823,x822)+~E(x821,x822)+~P2(x823,x821) % 0.55/0.69 [83]P8(x832,x833)+~E(x831,x832)+~P8(x831,x833) % 0.55/0.69 [84]P8(x843,x842)+~E(x841,x842)+~P8(x843,x841) % 0.55/0.69 [85]P10(x852,x853)+~E(x851,x852)+~P10(x851,x853) % 0.55/0.69 [86]P10(x863,x862)+~E(x861,x862)+~P10(x863,x861) % 0.55/0.69 [87]P6(x872,x873,x874)+~E(x871,x872)+~P6(x871,x873,x874) % 0.55/0.69 [88]P6(x883,x882,x884)+~E(x881,x882)+~P6(x883,x881,x884) % 0.55/0.69 [89]P6(x893,x894,x892)+~E(x891,x892)+~P6(x893,x894,x891) % 0.55/0.69 [90]~P7(x901)+P7(x902)+~E(x901,x902) % 0.55/0.69 % 0.55/0.69 %------------------------------------------- % 0.55/0.69 cnf(300,plain, % 0.55/0.69 ($false), % 0.55/0.69 inference(scs_inference,[],[122,123,160]), % 0.55/0.69 ['proof']). % 0.55/0.69 % SZS output end Proof % 0.55/0.69 % Total time :0.020000s %------------------------------------------------------------------------------