%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : NUM552+3 : 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 : 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 : Mon Jun 24 12:24:59 EDT 2024 % Result : Theorem 2.99s 3.07s % Output : CNFRefutation 2.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : NUM552+3 : TPTP v8.2.0. Released v4.0.0. % 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.32 % Computer : n028.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 300 % 0.12/0.32 % DateTime : Sat Jun 22 20:07:53 EDT 2024 % 0.12/0.33 % CPUTime : % 0.45/0.59 start to proof:theBenchmark % 2.99/3.05 %------------------------------------------- % 2.99/3.05 % File :CSE---1.7 % 2.99/3.05 % Problem :theBenchmark % 2.99/3.05 % Transform :cnf % 2.99/3.05 % Format :tptp:raw % 2.99/3.05 % Command :java -jar mcs_scs.jar %d %s % 2.99/3.05 % 2.99/3.05 % Result :Theorem 2.400000s % 2.99/3.05 % Output :CNFRefutation 2.400000s % 2.99/3.05 %------------------------------------------- % 2.99/3.05 %------------------------------------------------------------------------------ % 2.99/3.05 % File : NUM552+3 : TPTP v8.2.0. Released v4.0.0. % 2.99/3.05 % Domain : Number Theory % 2.99/3.05 % Problem : Ramsey's Infinite Theorem 12_04, 02 expansion % 2.99/3.05 % Version : Especial. % 2.99/3.05 % English : % 2.99/3.05 % 2.99/3.05 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction % 2.99/3.05 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe % 2.99/3.05 % Source : [Pas08] % 2.99/3.05 % Names : ramsey_12_04.02 [Pas08] % 2.99/3.05 % 2.99/3.05 % Status : Theorem % 2.99/3.05 % Rating : 0.14 v8.1.0, 0.06 v7.4.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.12 v6.2.0, 0.16 v6.1.0, 0.17 v6.0.0, 0.13 v5.5.0, 0.22 v5.4.0, 0.29 v5.3.0, 0.33 v5.2.0, 0.25 v5.1.0, 0.38 v5.0.0, 0.46 v4.1.0, 0.57 v4.0.1, 0.83 v4.0.0 % 2.99/3.05 % Syntax : Number of formulae : 68 ( 5 unt; 8 def) % 2.99/3.05 % Number of atoms : 289 ( 46 equ) % 2.99/3.05 % Maximal formula atoms : 43 ( 4 avg) % 2.99/3.05 % Number of connectives : 240 ( 19 ~; 8 |; 96 &) % 2.99/3.05 % ( 17 <=>; 100 =>; 0 <=; 0 <~>) % 2.99/3.05 % Maximal formula depth : 17 ( 5 avg) % 2.99/3.05 % Maximal term depth : 4 ( 1 avg) % 2.99/3.05 % Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty) % 2.99/3.05 % Number of functors : 17 ( 17 usr; 9 con; 0-2 aty) % 2.99/3.05 % Number of variables : 118 ( 113 !; 5 ?) % 2.99/3.05 % SPC : FOF_THM_RFO_SEQ % 2.99/3.05 % 2.99/3.05 % Comments : Problem generated by the SAD system [VLP07] % 2.99/3.05 %------------------------------------------------------------------------------ % 2.99/3.05 fof(mSetSort,axiom, % 2.99/3.05 ! [W0] : % 2.99/3.05 ( aSet0(W0) % 2.99/3.05 => $true ) ). % 2.99/3.05 % 2.99/3.05 fof(mElmSort,axiom, % 2.99/3.05 ! [W0] : % 2.99/3.05 ( aElement0(W0) % 2.99/3.05 => $true ) ). % 2.99/3.05 % 2.99/3.05 fof(mEOfElem,axiom, % 2.99/3.05 ! [W0] : % 2.99/3.05 ( aSet0(W0) % 2.99/3.06 => ! [W1] : % 2.99/3.06 ( aElementOf0(W1,W0) % 2.99/3.06 => aElement0(W1) ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mFinRel,axiom, % 2.99/3.06 ! [W0] : % 2.99/3.06 ( aSet0(W0) % 2.99/3.06 => ( isFinite0(W0) % 2.99/3.06 => $true ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mDefEmp,definition, % 2.99/3.06 ! [W0] : % 2.99/3.06 ( W0 = slcrc0 % 2.99/3.06 <=> ( aSet0(W0) % 2.99/3.06 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mEmpFin,axiom, % 2.99/3.06 isFinite0(slcrc0) ). % 2.99/3.06 % 2.99/3.06 fof(mCntRel,axiom, % 2.99/3.06 ! [W0] : % 2.99/3.06 ( aSet0(W0) % 2.99/3.06 => ( isCountable0(W0) % 2.99/3.06 => $true ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mCountNFin,axiom, % 2.99/3.06 ! [W0] : % 2.99/3.06 ( ( aSet0(W0) % 2.99/3.06 & isCountable0(W0) ) % 2.99/3.06 => ~ isFinite0(W0) ) ). % 2.99/3.06 % 2.99/3.06 fof(mCountNFin_01,axiom, % 2.99/3.06 ! [W0] : % 2.99/3.06 ( ( aSet0(W0) % 2.99/3.06 & isCountable0(W0) ) % 2.99/3.06 => W0 != slcrc0 ) ). % 2.99/3.06 % 2.99/3.06 fof(mDefSub,definition, % 2.99/3.06 ! [W0] : % 2.99/3.06 ( aSet0(W0) % 2.99/3.06 => ! [W1] : % 2.99/3.06 ( aSubsetOf0(W1,W0) % 2.99/3.06 <=> ( aSet0(W1) % 2.99/3.06 & ! [W2] : % 2.99/3.06 ( aElementOf0(W2,W1) % 2.99/3.06 => aElementOf0(W2,W0) ) ) ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mSubFSet,axiom, % 2.99/3.06 ! [W0] : % 2.99/3.06 ( ( aSet0(W0) % 2.99/3.06 & isFinite0(W0) ) % 2.99/3.06 => ! [W1] : % 2.99/3.06 ( aSubsetOf0(W1,W0) % 2.99/3.06 => isFinite0(W1) ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mSubRefl,axiom, % 2.99/3.06 ! [W0] : % 2.99/3.06 ( aSet0(W0) % 2.99/3.06 => aSubsetOf0(W0,W0) ) ). % 2.99/3.06 % 2.99/3.06 fof(mSubASymm,axiom, % 2.99/3.06 ! [W0,W1] : % 2.99/3.06 ( ( aSet0(W0) % 2.99/3.06 & aSet0(W1) ) % 2.99/3.06 => ( ( aSubsetOf0(W0,W1) % 2.99/3.06 & aSubsetOf0(W1,W0) ) % 2.99/3.06 => W0 = W1 ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mSubTrans,axiom, % 2.99/3.06 ! [W0,W1,W2] : % 2.99/3.06 ( ( aSet0(W0) % 2.99/3.06 & aSet0(W1) % 2.99/3.06 & aSet0(W2) ) % 2.99/3.06 => ( ( aSubsetOf0(W0,W1) % 2.99/3.06 & aSubsetOf0(W1,W2) ) % 2.99/3.06 => aSubsetOf0(W0,W2) ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mDefCons,definition, % 2.99/3.06 ! [W0,W1] : % 2.99/3.06 ( ( aSet0(W0) % 2.99/3.06 & aElement0(W1) ) % 2.99/3.06 => ! [W2] : % 2.99/3.06 ( W2 = sdtpldt0(W0,W1) % 2.99/3.06 <=> ( aSet0(W2) % 2.99/3.06 & ! [W3] : % 2.99/3.06 ( aElementOf0(W3,W2) % 2.99/3.06 <=> ( aElement0(W3) % 2.99/3.06 & ( aElementOf0(W3,W0) % 2.99/3.06 | W3 = W1 ) ) ) ) ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mDefDiff,definition, % 2.99/3.06 ! [W0,W1] : % 2.99/3.06 ( ( aSet0(W0) % 2.99/3.06 & aElement0(W1) ) % 2.99/3.06 => ! [W2] : % 2.99/3.06 ( W2 = sdtmndt0(W0,W1) % 2.99/3.06 <=> ( aSet0(W2) % 2.99/3.06 & ! [W3] : % 2.99/3.06 ( aElementOf0(W3,W2) % 2.99/3.06 <=> ( aElement0(W3) % 2.99/3.06 & aElementOf0(W3,W0) % 2.99/3.06 & W3 != W1 ) ) ) ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mConsDiff,axiom, % 2.99/3.06 ! [W0] : % 2.99/3.06 ( aSet0(W0) % 2.99/3.06 => ! [W1] : % 2.99/3.06 ( aElementOf0(W1,W0) % 2.99/3.06 => sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mDiffCons,axiom, % 2.99/3.06 ! [W0,W1] : % 2.99/3.06 ( ( aElement0(W0) % 2.99/3.06 & aSet0(W1) ) % 2.99/3.06 => ( ~ aElementOf0(W0,W1) % 2.99/3.06 => sdtmndt0(sdtpldt0(W1,W0),W0) = W1 ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mCConsSet,axiom, % 2.99/3.06 ! [W0] : % 2.99/3.06 ( aElement0(W0) % 2.99/3.06 => ! [W1] : % 2.99/3.06 ( ( aSet0(W1) % 2.99/3.06 & isCountable0(W1) ) % 2.99/3.06 => isCountable0(sdtpldt0(W1,W0)) ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mCDiffSet,axiom, % 2.99/3.06 ! [W0] : % 2.99/3.06 ( aElement0(W0) % 2.99/3.06 => ! [W1] : % 2.99/3.06 ( ( aSet0(W1) % 2.99/3.06 & isCountable0(W1) ) % 2.99/3.06 => isCountable0(sdtmndt0(W1,W0)) ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mFConsSet,axiom, % 2.99/3.06 ! [W0] : % 2.99/3.06 ( aElement0(W0) % 2.99/3.06 => ! [W1] : % 2.99/3.06 ( ( aSet0(W1) % 2.99/3.06 & isFinite0(W1) ) % 2.99/3.06 => isFinite0(sdtpldt0(W1,W0)) ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mFDiffSet,axiom, % 2.99/3.06 ! [W0] : % 2.99/3.06 ( aElement0(W0) % 2.99/3.06 => ! [W1] : % 2.99/3.06 ( ( aSet0(W1) % 2.99/3.06 & isFinite0(W1) ) % 2.99/3.06 => isFinite0(sdtmndt0(W1,W0)) ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mNATSet,axiom, % 2.99/3.06 ( aSet0(szNzAzT0) % 2.99/3.06 & isCountable0(szNzAzT0) ) ). % 2.99/3.06 % 2.99/3.06 fof(mZeroNum,axiom, % 2.99/3.06 aElementOf0(sz00,szNzAzT0) ). % 2.99/3.06 % 2.99/3.06 fof(mSuccNum,axiom, % 2.99/3.06 ! [W0] : % 2.99/3.06 ( aElementOf0(W0,szNzAzT0) % 2.99/3.06 => ( aElementOf0(szszuzczcdt0(W0),szNzAzT0) % 2.99/3.06 & szszuzczcdt0(W0) != sz00 ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mSuccEquSucc,axiom, % 2.99/3.06 ! [W0,W1] : % 2.99/3.06 ( ( aElementOf0(W0,szNzAzT0) % 2.99/3.06 & aElementOf0(W1,szNzAzT0) ) % 2.99/3.06 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1) % 2.99/3.06 => W0 = W1 ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mNatExtra,axiom, % 2.99/3.06 ! [W0] : % 2.99/3.06 ( aElementOf0(W0,szNzAzT0) % 2.99/3.06 => ( W0 = sz00 % 2.99/3.06 | ? [W1] : % 2.99/3.06 ( aElementOf0(W1,szNzAzT0) % 2.99/3.06 & W0 = szszuzczcdt0(W1) ) ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mNatNSucc,axiom, % 2.99/3.06 ! [W0] : % 2.99/3.06 ( aElementOf0(W0,szNzAzT0) % 2.99/3.06 => W0 != szszuzczcdt0(W0) ) ). % 2.99/3.06 % 2.99/3.06 fof(mLessRel,axiom, % 2.99/3.06 ! [W0,W1] : % 2.99/3.06 ( ( aElementOf0(W0,szNzAzT0) % 2.99/3.06 & aElementOf0(W1,szNzAzT0) ) % 2.99/3.06 => ( sdtlseqdt0(W0,W1) % 2.99/3.06 => $true ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mZeroLess,axiom, % 2.99/3.06 ! [W0] : % 2.99/3.06 ( aElementOf0(W0,szNzAzT0) % 2.99/3.06 => sdtlseqdt0(sz00,W0) ) ). % 2.99/3.06 % 2.99/3.06 fof(mNoScLessZr,axiom, % 2.99/3.06 ! [W0] : % 2.99/3.06 ( aElementOf0(W0,szNzAzT0) % 2.99/3.06 => ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) ). % 2.99/3.06 % 2.99/3.06 fof(mSuccLess,axiom, % 2.99/3.06 ! [W0,W1] : % 2.99/3.06 ( ( aElementOf0(W0,szNzAzT0) % 2.99/3.06 & aElementOf0(W1,szNzAzT0) ) % 2.99/3.06 => ( sdtlseqdt0(W0,W1) % 2.99/3.06 <=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mLessSucc,axiom, % 2.99/3.06 ! [W0] : % 2.99/3.06 ( aElementOf0(W0,szNzAzT0) % 2.99/3.06 => sdtlseqdt0(W0,szszuzczcdt0(W0)) ) ). % 2.99/3.06 % 2.99/3.06 fof(mLessRefl,axiom, % 2.99/3.06 ! [W0] : % 2.99/3.06 ( aElementOf0(W0,szNzAzT0) % 2.99/3.06 => sdtlseqdt0(W0,W0) ) ). % 2.99/3.06 % 2.99/3.06 fof(mLessASymm,axiom, % 2.99/3.06 ! [W0,W1] : % 2.99/3.06 ( ( aElementOf0(W0,szNzAzT0) % 2.99/3.06 & aElementOf0(W1,szNzAzT0) ) % 2.99/3.06 => ( ( sdtlseqdt0(W0,W1) % 2.99/3.06 & sdtlseqdt0(W1,W0) ) % 2.99/3.06 => W0 = W1 ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mLessTrans,axiom, % 2.99/3.06 ! [W0,W1,W2] : % 2.99/3.06 ( ( aElementOf0(W0,szNzAzT0) % 2.99/3.06 & aElementOf0(W1,szNzAzT0) % 2.99/3.06 & aElementOf0(W2,szNzAzT0) ) % 2.99/3.06 => ( ( sdtlseqdt0(W0,W1) % 2.99/3.06 & sdtlseqdt0(W1,W2) ) % 2.99/3.06 => sdtlseqdt0(W0,W2) ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mLessTotal,axiom, % 2.99/3.06 ! [W0,W1] : % 2.99/3.06 ( ( aElementOf0(W0,szNzAzT0) % 2.99/3.06 & aElementOf0(W1,szNzAzT0) ) % 2.99/3.06 => ( sdtlseqdt0(W0,W1) % 2.99/3.06 | sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ). % 2.99/3.06 % 2.99/3.06 fof(mIHSort,axiom, % 2.99/3.07 ! [W0,W1] : % 2.99/3.07 ( ( aElementOf0(W0,szNzAzT0) % 2.99/3.07 & aElementOf0(W1,szNzAzT0) ) % 2.99/3.07 => ( iLess0(W0,W1) % 2.99/3.07 => $true ) ) ). % 2.99/3.07 % 2.99/3.07 fof(mIH,axiom, % 2.99/3.07 ! [W0] : % 2.99/3.07 ( aElementOf0(W0,szNzAzT0) % 2.99/3.07 => iLess0(W0,szszuzczcdt0(W0)) ) ). % 2.99/3.07 % 2.99/3.07 fof(mCardS,axiom, % 2.99/3.07 ! [W0] : % 2.99/3.07 ( aSet0(W0) % 2.99/3.07 => aElement0(sbrdtbr0(W0)) ) ). % 2.99/3.07 % 2.99/3.07 fof(mCardNum,axiom, % 2.99/3.07 ! [W0] : % 2.99/3.07 ( aSet0(W0) % 2.99/3.07 => ( aElementOf0(sbrdtbr0(W0),szNzAzT0) % 2.99/3.07 <=> isFinite0(W0) ) ) ). % 2.99/3.07 % 2.99/3.07 fof(mCardEmpty,axiom, % 2.99/3.07 ! [W0] : % 2.99/3.07 ( aSet0(W0) % 2.99/3.07 => ( sbrdtbr0(W0) = sz00 % 2.99/3.07 <=> W0 = slcrc0 ) ) ). % 2.99/3.07 % 2.99/3.07 fof(mCardCons,axiom, % 2.99/3.07 ! [W0] : % 2.99/3.07 ( ( aSet0(W0) % 2.99/3.07 & isFinite0(W0) ) % 2.99/3.07 => ! [W1] : % 2.99/3.07 ( aElement0(W1) % 2.99/3.07 => ( ~ aElementOf0(W1,W0) % 2.99/3.07 => sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ). % 2.99/3.07 % 2.99/3.07 fof(mCardDiff,axiom, % 2.99/3.07 ! [W0] : % 2.99/3.07 ( aSet0(W0) % 2.99/3.07 => ! [W1] : % 2.99/3.07 ( ( isFinite0(W0) % 2.99/3.07 & aElementOf0(W1,W0) ) % 2.99/3.07 => szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ) ). % 2.99/3.07 % 2.99/3.07 fof(mCardSub,axiom, % 2.99/3.07 ! [W0] : % 2.99/3.07 ( aSet0(W0) % 2.99/3.07 => ! [W1] : % 2.99/3.07 ( ( isFinite0(W0) % 2.99/3.07 & aSubsetOf0(W1,W0) ) % 2.99/3.07 => sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ) ). % 2.99/3.07 % 2.99/3.07 fof(mCardSubEx,axiom, % 2.99/3.07 ! [W0,W1] : % 2.99/3.07 ( ( aSet0(W0) % 2.99/3.07 & aElementOf0(W1,szNzAzT0) ) % 2.99/3.07 => ( ( isFinite0(W0) % 2.99/3.07 & sdtlseqdt0(W1,sbrdtbr0(W0)) ) % 2.99/3.07 => ? [W2] : % 2.99/3.07 ( aSubsetOf0(W2,W0) % 2.99/3.07 & sbrdtbr0(W2) = W1 ) ) ) ). % 2.99/3.07 % 2.99/3.07 fof(mDefMin,definition, % 2.99/3.07 ! [W0] : % 2.99/3.07 ( ( aSubsetOf0(W0,szNzAzT0) % 2.99/3.07 & W0 != slcrc0 ) % 2.99/3.07 => ! [W1] : % 2.99/3.07 ( W1 = szmzizndt0(W0) % 2.99/3.07 <=> ( aElementOf0(W1,W0) % 2.99/3.07 & ! [W2] : % 2.99/3.07 ( aElementOf0(W2,W0) % 2.99/3.07 => sdtlseqdt0(W1,W2) ) ) ) ) ). % 2.99/3.07 % 2.99/3.07 fof(mDefMax,definition, % 2.99/3.07 ! [W0] : % 2.99/3.07 ( ( aSubsetOf0(W0,szNzAzT0) % 2.99/3.07 & isFinite0(W0) % 2.99/3.07 & W0 != slcrc0 ) % 2.99/3.07 => ! [W1] : % 2.99/3.07 ( W1 = szmzazxdt0(W0) % 2.99/3.07 <=> ( aElementOf0(W1,W0) % 2.99/3.07 & ! [W2] : % 2.99/3.07 ( aElementOf0(W2,W0) % 2.99/3.07 => sdtlseqdt0(W2,W1) ) ) ) ) ). % 2.99/3.07 % 2.99/3.07 fof(mMinMin,axiom, % 2.99/3.07 ! [W0,W1] : % 2.99/3.07 ( ( aSubsetOf0(W0,szNzAzT0) % 2.99/3.07 & aSubsetOf0(W1,szNzAzT0) % 2.99/3.07 & W0 != slcrc0 % 2.99/3.07 & W1 != slcrc0 ) % 2.99/3.07 => ( ( aElementOf0(szmzizndt0(W0),W1) % 2.99/3.07 & aElementOf0(szmzizndt0(W1),W0) ) % 2.99/3.07 => szmzizndt0(W0) = szmzizndt0(W1) ) ) ). % 2.99/3.07 % 2.99/3.07 fof(mDefSeg,definition, % 2.99/3.07 ! [W0] : % 2.99/3.07 ( aElementOf0(W0,szNzAzT0) % 2.99/3.07 => ! [W1] : % 2.99/3.07 ( W1 = slbdtrb0(W0) % 2.99/3.07 <=> ( aSet0(W1) % 2.99/3.07 & ! [W2] : % 2.99/3.07 ( aElementOf0(W2,W1) % 2.99/3.07 <=> ( aElementOf0(W2,szNzAzT0) % 2.99/3.07 & sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ) ). % 2.99/3.07 % 2.99/3.07 fof(mSegFin,axiom, % 2.99/3.07 ! [W0] : % 2.99/3.07 ( aElementOf0(W0,szNzAzT0) % 2.99/3.07 => isFinite0(slbdtrb0(W0)) ) ). % 2.99/3.07 % 2.99/3.07 fof(mSegZero,axiom, % 2.99/3.07 slbdtrb0(sz00) = slcrc0 ). % 2.99/3.07 % 2.99/3.07 fof(mSegSucc,axiom, % 2.99/3.07 ! [W0,W1] : % 2.99/3.07 ( ( aElementOf0(W0,szNzAzT0) % 2.99/3.07 & aElementOf0(W1,szNzAzT0) ) % 2.99/3.07 => ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1))) % 2.99/3.07 <=> ( aElementOf0(W0,slbdtrb0(W1)) % 2.99/3.07 | W0 = W1 ) ) ) ). % 2.99/3.07 % 2.99/3.07 fof(mSegLess,axiom, % 2.99/3.07 ! [W0,W1] : % 2.99/3.07 ( ( aElementOf0(W0,szNzAzT0) % 2.99/3.07 & aElementOf0(W1,szNzAzT0) ) % 2.99/3.07 => ( sdtlseqdt0(W0,W1) % 2.99/3.07 <=> aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)) ) ) ). % 2.99/3.07 % 2.99/3.07 fof(mFinSubSeg,axiom, % 2.99/3.07 ! [W0] : % 2.99/3.07 ( ( aSubsetOf0(W0,szNzAzT0) % 2.99/3.07 & isFinite0(W0) ) % 2.99/3.07 => ? [W1] : % 2.99/3.07 ( aElementOf0(W1,szNzAzT0) % 2.99/3.07 & aSubsetOf0(W0,slbdtrb0(W1)) ) ) ). % 2.99/3.07 % 2.99/3.07 fof(mCardSeg,axiom, % 2.99/3.07 ! [W0] : % 2.99/3.07 ( aElementOf0(W0,szNzAzT0) % 2.99/3.07 => sbrdtbr0(slbdtrb0(W0)) = W0 ) ). % 2.99/3.07 % 2.99/3.07 fof(mDefSel,definition, % 2.99/3.07 ! [W0,W1] : % 2.99/3.07 ( ( aSet0(W0) % 2.99/3.07 & aElementOf0(W1,szNzAzT0) ) % 2.99/3.07 => ! [W2] : % 2.99/3.07 ( W2 = slbdtsldtrb0(W0,W1) % 2.99/3.07 <=> ( aSet0(W2) % 2.99/3.07 & ! [W3] : % 2.99/3.07 ( aElementOf0(W3,W2) % 2.99/3.07 <=> ( aSubsetOf0(W3,W0) % 2.99/3.07 & sbrdtbr0(W3) = W1 ) ) ) ) ) ). % 2.99/3.07 % 2.99/3.07 fof(mSelFSet,axiom, % 2.99/3.07 ! [W0] : % 2.99/3.07 ( ( aSet0(W0) % 2.99/3.07 & isFinite0(W0) ) % 2.99/3.07 => ! [W1] : % 2.99/3.07 ( aElementOf0(W1,szNzAzT0) % 2.99/3.07 => isFinite0(slbdtsldtrb0(W0,W1)) ) ) ). % 2.99/3.07 % 2.99/3.07 fof(mSelNSet,axiom, % 2.99/3.07 ! [W0] : % 2.99/3.07 ( ( aSet0(W0) % 2.99/3.07 & ~ isFinite0(W0) ) % 2.99/3.07 => ! [W1] : % 2.99/3.07 ( aElementOf0(W1,szNzAzT0) % 2.99/3.07 => slbdtsldtrb0(W0,W1) != slcrc0 ) ) ). % 2.99/3.07 % 2.99/3.07 fof(mSelCSet,axiom, % 2.99/3.07 ! [W0] : % 2.99/3.07 ( ( aSet0(W0) % 2.99/3.07 & isCountable0(W0) ) % 2.99/3.07 => ! [W1] : % 2.99/3.07 ( ( aElementOf0(W1,szNzAzT0) % 2.99/3.07 & W1 != sz00 ) % 2.99/3.07 => isCountable0(slbdtsldtrb0(W0,W1)) ) ) ). % 2.99/3.07 % 2.99/3.07 fof(m__2202,hypothesis, % 2.99/3.07 aElementOf0(xk,szNzAzT0) ). % 2.99/3.07 % 2.99/3.07 fof(m__2202_02,hypothesis, % 2.99/3.07 ( aSet0(xS) % 2.99/3.07 & aSet0(xT) % 2.99/3.07 & xk != sz00 ) ). % 2.99/3.07 % 2.99/3.07 fof(m__2227,hypothesis, % 2.99/3.07 ( aSet0(slbdtsldtrb0(xS,xk)) % 2.99/3.07 & ! [W0] : % 2.99/3.07 ( ( aElementOf0(W0,slbdtsldtrb0(xS,xk)) % 2.99/3.07 => ( aSet0(W0) % 2.99/3.07 & ! [W1] : % 2.99/3.07 ( aElementOf0(W1,W0) % 2.99/3.07 => aElementOf0(W1,xS) ) % 2.99/3.07 & aSubsetOf0(W0,xS) % 2.99/3.07 & sbrdtbr0(W0) = xk ) ) % 2.99/3.07 & ( ( ( ( aSet0(W0) % 2.99/3.07 & ! [W1] : % 2.99/3.07 ( aElementOf0(W1,W0) % 2.99/3.07 => aElementOf0(W1,xS) ) ) % 2.99/3.07 | aSubsetOf0(W0,xS) ) % 2.99/3.07 & sbrdtbr0(W0) = xk ) % 2.99/3.07 => aElementOf0(W0,slbdtsldtrb0(xS,xk)) ) ) % 2.99/3.07 & aSet0(slbdtsldtrb0(xT,xk)) % 2.99/3.07 & ! [W0] : % 2.99/3.07 ( ( aElementOf0(W0,slbdtsldtrb0(xT,xk)) % 2.99/3.07 => ( aSet0(W0) % 2.99/3.07 & ! [W1] : % 2.99/3.07 ( aElementOf0(W1,W0) % 2.99/3.07 => aElementOf0(W1,xT) ) % 2.99/3.07 & aSubsetOf0(W0,xT) % 2.99/3.07 & sbrdtbr0(W0) = xk ) ) % 2.99/3.07 & ( ( ( ( aSet0(W0) % 2.99/3.07 & ! [W1] : % 2.99/3.07 ( aElementOf0(W1,W0) % 2.99/3.07 => aElementOf0(W1,xT) ) ) % 2.99/3.07 | aSubsetOf0(W0,xT) ) % 2.99/3.07 & sbrdtbr0(W0) = xk ) % 2.99/3.07 => aElementOf0(W0,slbdtsldtrb0(xT,xk)) ) ) % 2.99/3.07 & ! [W0] : % 2.99/3.07 ( aElementOf0(W0,slbdtsldtrb0(xS,xk)) % 2.99/3.07 => aElementOf0(W0,slbdtsldtrb0(xT,xk)) ) % 2.99/3.07 & aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)) % 2.99/3.07 & ~ ( ! [W0] : % 2.99/3.07 ( ( aElementOf0(W0,slbdtsldtrb0(xS,xk)) % 2.99/3.07 => ( aSet0(W0) % 2.99/3.07 & ! [W1] : % 2.99/3.07 ( aElementOf0(W1,W0) % 2.99/3.07 => aElementOf0(W1,xS) ) % 2.99/3.07 & aSubsetOf0(W0,xS) % 2.99/3.07 & sbrdtbr0(W0) = xk ) ) % 2.99/3.07 & ( ( ( ( aSet0(W0) % 2.99/3.07 & ! [W1] : % 2.99/3.07 ( aElementOf0(W1,W0) % 2.99/3.07 => aElementOf0(W1,xS) ) ) % 2.99/3.07 | aSubsetOf0(W0,xS) ) % 2.99/3.07 & sbrdtbr0(W0) = xk ) % 2.99/3.07 => aElementOf0(W0,slbdtsldtrb0(xS,xk)) ) ) % 2.99/3.07 => ( ~ ? [W0] : aElementOf0(W0,slbdtsldtrb0(xS,xk)) % 2.99/3.07 | slbdtsldtrb0(xS,xk) = slcrc0 ) ) ) ). % 2.99/3.07 % 2.99/3.07 fof(m__2256,hypothesis, % 2.99/3.07 aElementOf0(xx,xS) ). % 2.99/3.07 % 2.99/3.07 fof(m__2270,hypothesis, % 2.99/3.07 ( aSet0(xQ) % 2.99/3.07 & ! [W0] : % 2.99/3.07 ( aElementOf0(W0,xQ) % 2.99/3.07 => aElementOf0(W0,xS) ) % 2.99/3.07 & aSubsetOf0(xQ,xS) % 2.99/3.07 & sbrdtbr0(xQ) = xk % 2.99/3.07 & aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ) ). % 2.99/3.07 % 2.99/3.07 fof(m__2291,hypothesis, % 2.99/3.07 ( aSet0(xQ) % 2.99/3.07 & isFinite0(xQ) % 2.99/3.07 & sbrdtbr0(xQ) = xk ) ). % 2.99/3.07 % 2.99/3.07 fof(m__2304,hypothesis, % 2.99/3.07 ( aElement0(xy) % 2.99/3.07 & aElementOf0(xy,xQ) ) ). % 2.99/3.07 % 2.99/3.07 fof(m__,conjecture, % 2.99/3.07 ( aElementOf0(xx,xQ) % 2.99/3.07 => aElementOf0(xx,xT) ) ). % 2.99/3.07 % 2.99/3.07 %------------------------------------------------------------------------------ % 2.99/3.07 %------------------------------------------- % 2.99/3.07 % Proof found % 2.99/3.07 % SZS status Theorem for theBenchmark % 2.99/3.07 % SZS output start Proof % 2.99/3.07 %ClaNum:199(EqnAxiom:51) % 2.99/3.07 %VarNum:771(SingletonVarNum:238) % 2.99/3.07 %MaxLitNum:8 % 2.99/3.07 %MaxfuncDepth:3 % 2.99/3.07 %SharedTerms:38 % 2.99/3.07 %goalClause: 67 77 % 2.99/3.07 %singleGoalClaCount:2 % 2.99/3.07 [55]P1(a24) % 2.99/3.07 [56]P1(a29) % 2.99/3.07 [57]P1(a30) % 2.99/3.07 [59]P1(a1) % 2.99/3.07 [60]P2(a31) % 2.99/3.07 [61]P4(a22) % 2.99/3.07 [62]P4(a1) % 2.99/3.07 [63]P5(a24) % 2.99/3.07 [64]P3(a18,a24) % 2.99/3.07 [65]P3(a28,a24) % 2.99/3.07 [66]P3(a32,a29) % 2.99/3.07 [67]P3(a32,a1) % 2.99/3.07 [68]P3(a31,a1) % 2.99/3.07 [69]P6(a1,a29) % 2.99/3.07 [75]~E(a18,a28) % 2.99/3.07 [77]~P3(a32,a30) % 2.99/3.07 [53]E(f2(a1),a28) % 2.99/3.07 [54]E(f19(a18),a22) % 2.99/3.07 [70]P1(f23(a29,a28)) % 2.99/3.07 [71]P1(f23(a30,a28)) % 2.99/3.07 [72]P3(a1,f23(a29,a28)) % 2.99/3.07 [73]P3(a3,f23(a29,a28)) % 2.99/3.07 [74]P6(f23(a29,a28),f23(a30,a28)) % 2.99/3.07 [76]~E(f23(a29,a28),a22) % 2.99/3.07 [78]P1(x781)+~E(x781,a22) % 2.99/3.07 [84]~P1(x841)+P6(x841,x841) % 2.99/3.07 [91]~P3(x911,a1)+P3(x911,a29) % 2.99/3.07 [92]~P3(x921,a24)+P8(a18,x921) % 2.99/3.07 [98]P8(x981,x981)+~P3(x981,a24) % 2.99/3.07 [82]~P1(x821)+P2(f2(x821)) % 2.99/3.07 [86]~P3(x861,a24)+~E(f25(x861),a18) % 2.99/3.07 [87]~P3(x871,a24)+~E(f25(x871),x871) % 2.99/3.07 [89]~P3(x891,a24)+P4(f19(x891)) % 2.99/3.07 [99]~P3(x991,a24)+P3(f25(x991),a24) % 2.99/3.07 [100]~P3(x1001,a24)+P8(x1001,f25(x1001)) % 2.99/3.07 [101]~P3(x1011,a24)+P7(x1011,f25(x1011)) % 2.99/3.07 [109]~P3(x1091,a24)+~P8(f25(x1091),a18) % 2.99/3.07 [119]~P3(x1191,f23(a29,a28))+E(f2(x1191),a28) % 2.99/3.07 [120]~P3(x1201,f23(a30,a28))+E(f2(x1201),a28) % 2.99/3.07 [122]P1(x1221)+~P3(x1221,f23(a29,a28)) % 2.99/3.07 [123]P1(x1231)+~P3(x1231,f23(a30,a28)) % 2.99/3.07 [138]P6(x1381,a29)+~P3(x1381,f23(a29,a28)) % 2.99/3.07 [139]P6(x1391,a30)+~P3(x1391,f23(a30,a28)) % 2.99/3.07 [162]~P3(x1621,f23(a29,a28))+P3(x1621,f23(a30,a28)) % 2.99/3.07 [90]~P3(x901,a24)+E(f2(f19(x901)),x901) % 2.99/3.07 [85]~P3(x852,x851)+~E(x851,a22) % 2.99/3.07 [81]~P1(x811)+~P5(x811)+~E(x811,a22) % 2.99/3.07 [83]~P4(x831)+~P5(x831)+~P1(x831) % 2.99/3.07 [79]~P1(x791)+~E(x791,a22)+E(f2(x791),a18) % 2.99/3.07 [80]~P1(x801)+E(x801,a22)+~E(f2(x801),a18) % 2.99/3.07 [88]~P1(x881)+P3(f9(x881),x881)+E(x881,a22) % 2.99/3.07 [95]~P1(x951)+~P4(x951)+P3(f2(x951),a24) % 2.99/3.07 [102]~P3(x1021,a24)+E(x1021,a18)+P3(f10(x1021),a24) % 2.99/3.07 [103]~P1(x1031)+P4(x1031)+~P3(f2(x1031),a24) % 2.99/3.07 [108]~P4(x1081)+~P6(x1081,a24)+P3(f4(x1081),a24) % 2.99/3.07 [126]~P6(x1261,a29)+P3(x1261,f23(a29,a28))+~E(f2(x1261),a28) % 2.99/3.07 [127]~P6(x1271,a30)+P3(x1271,f23(a30,a28))+~E(f2(x1271),a28) % 2.99/3.07 [93]~P3(x931,a24)+E(x931,a18)+E(f25(f10(x931)),x931) % 2.99/3.07 [124]~P4(x1241)+~P6(x1241,a24)+P6(x1241,f19(f4(x1241))) % 2.99/3.07 [96]~P6(x961,x962)+P1(x961)+~P1(x962) % 2.99/3.07 [97]~P3(x971,x972)+P2(x971)+~P1(x972) % 2.99/3.07 [94]P1(x941)+~P3(x942,a24)+~E(x941,f19(x942)) % 2.99/3.07 [166]~P3(x1661,x1662)+P3(x1661,a29)+~P3(x1662,f23(a29,a28)) % 2.99/3.07 [167]~P3(x1671,x1672)+P3(x1671,a30)+~P3(x1672,f23(a30,a28)) % 2.99/3.07 [147]~P1(x1471)+~P3(x1472,x1471)+E(f20(f21(x1471,x1472),x1472),x1471) % 2.99/3.07 [143]~P1(x1431)+P3(f5(x1431),x1431)+P3(x1431,f23(a29,a28))+~E(f2(x1431),a28) % 2.99/3.07 [144]~P1(x1441)+P3(f7(x1441),x1441)+P3(x1441,f23(a30,a28))+~E(f2(x1441),a28) % 2.99/3.07 [145]~P1(x1451)+P3(f8(x1451),x1451)+P3(x1451,f23(a29,a28))+~E(f2(x1451),a28) % 2.99/3.07 [155]~P1(x1551)+P3(x1551,f23(a29,a28))+~E(f2(x1551),a28)+~P3(f5(x1551),a29) % 2.99/3.07 [156]~P1(x1561)+P3(x1561,f23(a29,a28))+~E(f2(x1561),a28)+~P3(f8(x1561),a29) % 2.99/3.07 [157]~P1(x1571)+P3(x1571,f23(a30,a28))+~E(f2(x1571),a28)+~P3(f7(x1571),a30) % 2.99/3.07 [104]~P4(x1042)+~P6(x1041,x1042)+P4(x1041)+~P1(x1042) % 2.99/3.07 [107]P3(x1072,x1071)+~E(x1072,f26(x1071))+~P6(x1071,a24)+E(x1071,a22) % 2.99/3.07 [111]~P1(x1111)+~P2(x1112)+~P4(x1111)+P4(f20(x1111,x1112)) % 2.99/3.07 [112]~P1(x1121)+~P2(x1122)+~P4(x1121)+P4(f21(x1121,x1122)) % 2.99/3.07 [113]~P1(x1131)+~P2(x1132)+~P5(x1131)+P5(f20(x1131,x1132)) % 2.99/3.07 [114]~P1(x1141)+~P2(x1142)+~P5(x1141)+P5(f21(x1141,x1142)) % 2.99/3.07 [115]~P1(x1151)+P4(x1151)+~P3(x1152,a24)+~E(f23(x1151,x1152),a22) % 2.99/3.07 [117]E(x1171,x1172)+~E(f25(x1171),f25(x1172))+~P3(x1172,a24)+~P3(x1171,a24) % 2.99/3.07 [130]~P1(x1302)+~P4(x1302)+~P6(x1301,x1302)+P8(f2(x1301),f2(x1302)) % 2.99/3.07 [133]~P1(x1331)+~P4(x1331)+~P3(x1332,a24)+P4(f23(x1331,x1332)) % 2.99/3.07 [142]~P1(x1421)+~P1(x1422)+P6(x1421,x1422)+P3(f11(x1422,x1421),x1421) % 2.99/3.08 [151]P8(x1511,x1512)+P8(f25(x1512),x1511)+~P3(x1512,a24)+~P3(x1511,a24) % 2.99/3.08 [168]~P8(x1681,x1682)+~P3(x1682,a24)+~P3(x1681,a24)+P6(f19(x1681),f19(x1682)) % 2.99/3.08 [169]~P8(x1691,x1692)+~P3(x1692,a24)+~P3(x1691,a24)+P8(f25(x1691),f25(x1692)) % 2.99/3.08 [171]~P1(x1711)+~P1(x1712)+P6(x1711,x1712)+~P3(f11(x1712,x1711),x1712) % 2.99/3.08 [173]P8(x1731,x1732)+~P3(x1732,a24)+~P3(x1731,a24)+~P6(f19(x1731),f19(x1732)) % 2.99/3.08 [174]P8(x1741,x1742)+~P3(x1742,a24)+~P3(x1741,a24)+~P8(f25(x1741),f25(x1742)) % 2.99/3.08 [146]P3(x1462,x1461)+~P1(x1461)+~P2(x1462)+E(f21(f20(x1461,x1462),x1462),x1461) % 2.99/3.08 [153]~E(x1531,x1532)+~P3(x1532,a24)+~P3(x1531,a24)+P3(x1531,f19(f25(x1532))) % 2.99/3.08 [179]~P3(x1792,a24)+~P3(x1791,a24)+~P3(x1791,f19(x1792))+P3(x1791,f19(f25(x1792))) % 2.99/3.08 [178]~P1(x1781)+~P4(x1781)+~P3(x1782,x1781)+E(f25(f2(f21(x1781,x1782))),f2(x1781)) % 2.99/3.08 [140]~P1(x1402)+~P6(x1403,x1402)+P3(x1401,x1402)+~P3(x1401,x1403) % 2.99/3.08 [105]~P1(x1052)+~P2(x1053)+P1(x1051)+~E(x1051,f20(x1052,x1053)) % 2.99/3.08 [106]~P1(x1062)+~P2(x1063)+P1(x1061)+~E(x1061,f21(x1062,x1063)) % 2.99/3.08 [116]~P1(x1162)+P1(x1161)+~P3(x1163,a24)+~E(x1161,f23(x1162,x1163)) % 2.99/3.08 [131]~P3(x1311,x1312)+~P3(x1313,a24)+P3(x1311,a24)+~E(x1312,f19(x1313)) % 2.99/3.08 [148]~P3(x1481,x1483)+~P3(x1482,a24)+P8(f25(x1481),x1482)+~E(x1483,f19(x1482)) % 2.99/3.08 [128]~P1(x1282)+~P1(x1281)+~P6(x1282,x1281)+~P6(x1281,x1282)+E(x1281,x1282) % 2.99/3.08 [163]~P8(x1632,x1631)+~P8(x1631,x1632)+E(x1631,x1632)+~P3(x1632,a24)+~P3(x1631,a24) % 2.99/3.08 [110]~P4(x1101)+P3(x1102,x1101)+~E(x1102,f27(x1101))+~P6(x1101,a24)+E(x1101,a22) % 2.99/3.08 [136]~P1(x1362)+~P5(x1362)+~P3(x1361,a24)+E(x1361,a18)+P5(f23(x1362,x1361)) % 2.99/3.08 [170]~P3(x1702,x1701)+P3(f14(x1701,x1702),x1701)+~P6(x1701,a24)+E(x1701,a22)+E(x1702,f26(x1701)) % 2.99/3.08 [180]~P1(x1801)+~P4(x1801)+~P3(x1802,a24)+~P8(x1802,f2(x1801))+P6(f15(x1801,x1802),x1801) % 2.99/3.08 [181]~P1(x1811)+P3(f17(x1812,x1811),x1811)+~P3(x1812,a24)+E(x1811,f19(x1812))+P3(f17(x1812,x1811),a24) % 2.99/3.08 [182]~P3(x1822,x1821)+~P6(x1821,a24)+~P8(x1822,f14(x1821,x1822))+E(x1821,a22)+E(x1822,f26(x1821)) % 2.99/3.08 [152]P3(x1522,x1521)+~P1(x1521)+~P2(x1522)+~P4(x1521)+E(f2(f20(x1521,x1522)),f25(f2(x1521))) % 2.99/3.08 [177]~P1(x1771)+~P4(x1771)+~P3(x1772,a24)+~P8(x1772,f2(x1771))+E(f2(f15(x1771,x1772)),x1772) % 2.99/3.08 [183]E(x1831,x1832)+P3(x1831,f19(x1832))+~P3(x1832,a24)+~P3(x1831,a24)+~P3(x1831,f19(f25(x1832))) % 2.99/3.08 [187]~P1(x1871)+P3(f17(x1872,x1871),x1871)+~P3(x1872,a24)+E(x1871,f19(x1872))+P8(f25(f17(x1872,x1871)),x1872) % 2.99/3.08 [141]~P3(x1413,x1411)+P8(x1412,x1413)+~E(x1412,f26(x1411))+~P6(x1411,a24)+E(x1411,a22) % 2.99/3.08 [172]P3(x1721,x1722)+~P3(x1723,a24)+~P3(x1721,a24)+~P8(f25(x1721),x1723)+~E(x1722,f19(x1723)) % 2.99/3.08 [132]~P1(x1324)+~P2(x1322)+~P3(x1321,x1323)+~E(x1321,x1322)+~E(x1323,f21(x1324,x1322)) % 2.99/3.08 [134]~P1(x1343)+~P2(x1344)+~P3(x1341,x1342)+P2(x1341)+~E(x1342,f20(x1343,x1344)) % 2.99/3.08 [135]~P1(x1353)+~P2(x1354)+~P3(x1351,x1352)+P2(x1351)+~E(x1352,f21(x1353,x1354)) % 2.99/3.08 [150]~P1(x1502)+~P2(x1504)+~P3(x1501,x1503)+P3(x1501,x1502)+~E(x1503,f21(x1502,x1504)) % 2.99/3.08 [158]~P1(x1584)+~P3(x1581,x1583)+~P3(x1582,a24)+E(f2(x1581),x1582)+~E(x1583,f23(x1584,x1582)) % 2.99/3.08 [164]~P1(x1642)+~P3(x1641,x1643)+P6(x1641,x1642)+~P3(x1644,a24)+~E(x1643,f23(x1642,x1644)) % 2.99/3.08 [176]~P4(x1761)+~P3(x1762,x1761)+P3(f16(x1761,x1762),x1761)+~P6(x1761,a24)+E(x1761,a22)+E(x1762,f27(x1761)) % 2.99/3.08 [185]~P4(x1851)+~P3(x1852,x1851)+~P6(x1851,a24)+~P8(f16(x1851,x1852),x1852)+E(x1851,a22)+E(x1852,f27(x1851)) % 2.99/3.08 [191]~P1(x1911)+~P3(x1912,a24)+~P3(f17(x1912,x1911),x1911)+E(x1911,f19(x1912))+~P3(f17(x1912,x1911),a24)+~P8(f25(f17(x1912,x1911)),x1912) % 2.99/3.08 [159]~P1(x1592)+~P1(x1591)+~P6(x1593,x1592)+~P6(x1591,x1593)+P6(x1591,x1592)+~P1(x1593) % 2.99/3.08 [186]~P8(x1861,x1863)+P8(x1861,x1862)+~P8(x1863,x1862)+~P3(x1862,a24)+~P3(x1863,a24)+~P3(x1861,a24) % 2.99/3.08 [149]~P4(x1491)+~P3(x1492,x1491)+P8(x1492,x1493)+~E(x1493,f27(x1491))+~P6(x1491,a24)+E(x1491,a22) % 2.99/3.08 [188]~P1(x1881)+~P1(x1882)+~P2(x1883)+P3(f12(x1882,x1883,x1881),x1881)+~E(f12(x1882,x1883,x1881),x1883)+E(x1881,f21(x1882,x1883)) % 2.99/3.08 [189]~P1(x1891)+~P1(x1892)+~P2(x1893)+P3(f13(x1892,x1893,x1891),x1891)+E(x1891,f20(x1892,x1893))+P2(f13(x1892,x1893,x1891)) % 2.99/3.08 [190]~P1(x1901)+~P1(x1902)+~P2(x1903)+P3(f12(x1902,x1903,x1901),x1901)+E(x1901,f21(x1902,x1903))+P2(f12(x1902,x1903,x1901)) % 2.99/3.08 [192]~P1(x1921)+~P1(x1922)+~P2(x1923)+P3(f12(x1922,x1923,x1921),x1921)+P3(f12(x1922,x1923,x1921),x1922)+E(x1921,f21(x1922,x1923)) % 2.99/3.08 [194]~P1(x1941)+~P1(x1942)+P3(f6(x1942,x1943,x1941),x1941)+P6(f6(x1942,x1943,x1941),x1942)+~P3(x1943,a24)+E(x1941,f23(x1942,x1943)) % 2.99/3.08 [193]~P1(x1931)+~P1(x1932)+P3(f6(x1932,x1933,x1931),x1931)+~P3(x1933,a24)+E(x1931,f23(x1932,x1933))+E(f2(f6(x1932,x1933,x1931)),x1933) % 2.99/3.08 [129]~P1(x1294)+~P2(x1293)+~P2(x1291)+P3(x1291,x1292)+~E(x1291,x1293)+~E(x1292,f20(x1294,x1293)) % 2.99/3.08 [154]~P1(x1543)+~P2(x1542)+~P3(x1541,x1544)+E(x1541,x1542)+P3(x1541,x1543)+~E(x1544,f20(x1543,x1542)) % 2.99/3.08 [160]~P1(x1603)+~P2(x1604)+~P2(x1601)+~P3(x1601,x1603)+P3(x1601,x1602)+~E(x1602,f20(x1603,x1604)) % 2.99/3.08 [175]~P1(x1754)+~P6(x1751,x1754)+P3(x1751,x1752)+~P3(x1753,a24)+~E(x1752,f23(x1754,x1753))+~E(f2(x1751),x1753) % 2.99/3.08 [184]E(f26(x1842),f26(x1841))+~P6(x1841,a24)+~P6(x1842,a24)+~P3(f26(x1841),x1842)+~P3(f26(x1842),x1841)+E(x1841,a22)+E(x1842,a22) % 2.99/3.08 [195]~P1(x1951)+~P1(x1952)+~P2(x1953)+E(f13(x1952,x1953,x1951),x1953)+P3(f13(x1952,x1953,x1951),x1951)+P3(f13(x1952,x1953,x1951),x1952)+E(x1951,f20(x1952,x1953)) % 2.99/3.08 [196]~P1(x1961)+~P1(x1962)+~P2(x1963)+~E(f13(x1962,x1963,x1961),x1963)+~P3(f13(x1962,x1963,x1961),x1961)+E(x1961,f20(x1962,x1963))+~P2(f13(x1962,x1963,x1961)) % 2.99/3.08 [197]~P1(x1971)+~P1(x1972)+~P2(x1973)+~P3(f13(x1972,x1973,x1971),x1971)+~P3(f13(x1972,x1973,x1971),x1972)+E(x1971,f20(x1972,x1973))+~P2(f13(x1972,x1973,x1971)) % 2.99/3.08 [198]~P1(x1981)+~P1(x1982)+~P3(x1983,a24)+~P3(f6(x1982,x1983,x1981),x1981)+~P6(f6(x1982,x1983,x1981),x1982)+E(x1981,f23(x1982,x1983))+~E(f2(f6(x1982,x1983,x1981)),x1983) % 2.99/3.08 [161]~P1(x1614)+~P2(x1612)+~P2(x1611)+~P3(x1611,x1614)+E(x1611,x1612)+P3(x1611,x1613)+~E(x1613,f21(x1614,x1612)) % 2.99/3.08 [199]~P1(x1991)+~P1(x1992)+~P2(x1993)+E(f12(x1992,x1993,x1991),x1993)+~P3(f12(x1992,x1993,x1991),x1991)+~P3(f12(x1992,x1993,x1991),x1992)+E(x1991,f21(x1992,x1993))+~P2(f12(x1992,x1993,x1991)) % 2.99/3.08 %EqnAxiom % 2.99/3.08 [1]E(x11,x11) % 2.99/3.08 [2]E(x22,x21)+~E(x21,x22) % 2.99/3.08 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 2.99/3.08 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 2.99/3.08 [5]~E(x51,x52)+E(f12(x51,x53,x54),f12(x52,x53,x54)) % 2.99/3.08 [6]~E(x61,x62)+E(f12(x63,x61,x64),f12(x63,x62,x64)) % 2.99/3.08 [7]~E(x71,x72)+E(f12(x73,x74,x71),f12(x73,x74,x72)) % 2.99/3.08 [8]~E(x81,x82)+E(f19(x81),f19(x82)) % 2.99/3.08 [9]~E(x91,x92)+E(f23(x91,x93),f23(x92,x93)) % 2.99/3.08 [10]~E(x101,x102)+E(f23(x103,x101),f23(x103,x102)) % 2.99/3.08 [11]~E(x111,x112)+E(f26(x111),f26(x112)) % 2.99/3.08 [12]~E(x121,x122)+E(f17(x121,x123),f17(x122,x123)) % 2.99/3.08 [13]~E(x131,x132)+E(f17(x133,x131),f17(x133,x132)) % 2.99/3.08 [14]~E(x141,x142)+E(f8(x141),f8(x142)) % 2.99/3.08 [15]~E(x151,x152)+E(f14(x151,x153),f14(x152,x153)) % 2.99/3.08 [16]~E(x161,x162)+E(f14(x163,x161),f14(x163,x162)) % 2.99/3.08 [17]~E(x171,x172)+E(f21(x171,x173),f21(x172,x173)) % 2.99/3.08 [18]~E(x181,x182)+E(f21(x183,x181),f21(x183,x182)) % 2.99/3.08 [19]~E(x191,x192)+E(f15(x191,x193),f15(x192,x193)) % 2.99/3.08 [20]~E(x201,x202)+E(f15(x203,x201),f15(x203,x202)) % 2.99/3.08 [21]~E(x211,x212)+E(f25(x211),f25(x212)) % 2.99/3.08 [22]~E(x221,x222)+E(f6(x221,x223,x224),f6(x222,x223,x224)) % 2.99/3.08 [23]~E(x231,x232)+E(f6(x233,x231,x234),f6(x233,x232,x234)) % 2.99/3.08 [24]~E(x241,x242)+E(f6(x243,x244,x241),f6(x243,x244,x242)) % 2.99/3.08 [25]~E(x251,x252)+E(f13(x251,x253,x254),f13(x252,x253,x254)) % 2.99/3.08 [26]~E(x261,x262)+E(f13(x263,x261,x264),f13(x263,x262,x264)) % 2.99/3.08 [27]~E(x271,x272)+E(f13(x273,x274,x271),f13(x273,x274,x272)) % 2.99/3.08 [28]~E(x281,x282)+E(f20(x281,x283),f20(x282,x283)) % 2.99/3.08 [29]~E(x291,x292)+E(f20(x293,x291),f20(x293,x292)) % 2.99/3.08 [30]~E(x301,x302)+E(f27(x301),f27(x302)) % 2.99/3.08 [31]~E(x311,x312)+E(f9(x311),f9(x312)) % 2.99/3.08 [32]~E(x321,x322)+E(f16(x321,x323),f16(x322,x323)) % 2.99/3.08 [33]~E(x331,x332)+E(f16(x333,x331),f16(x333,x332)) % 2.99/3.08 [34]~E(x341,x342)+E(f5(x341),f5(x342)) % 2.99/3.08 [35]~E(x351,x352)+E(f11(x351,x353),f11(x352,x353)) % 2.99/3.08 [36]~E(x361,x362)+E(f11(x363,x361),f11(x363,x362)) % 2.99/3.08 [37]~E(x371,x372)+E(f10(x371),f10(x372)) % 2.99/3.08 [38]~E(x381,x382)+E(f7(x381),f7(x382)) % 2.99/3.08 [39]~E(x391,x392)+E(f4(x391),f4(x392)) % 2.99/3.08 [40]~P1(x401)+P1(x402)+~E(x401,x402) % 2.99/3.08 [41]P3(x412,x413)+~E(x411,x412)+~P3(x411,x413) % 2.99/3.08 [42]P3(x423,x422)+~E(x421,x422)+~P3(x423,x421) % 2.99/3.08 [43]~P4(x431)+P4(x432)+~E(x431,x432) % 2.99/3.08 [44]~P2(x441)+P2(x442)+~E(x441,x442) % 2.99/3.08 [45]~P5(x451)+P5(x452)+~E(x451,x452) % 2.99/3.08 [46]P6(x462,x463)+~E(x461,x462)+~P6(x461,x463) % 2.99/3.08 [47]P6(x473,x472)+~E(x471,x472)+~P6(x473,x471) % 2.99/3.08 [48]P8(x482,x483)+~E(x481,x482)+~P8(x481,x483) % 2.99/3.08 [49]P8(x493,x492)+~E(x491,x492)+~P8(x493,x491) % 2.99/3.08 [50]P7(x502,x503)+~E(x501,x502)+~P7(x501,x503) % 2.99/3.08 [51]P7(x513,x512)+~E(x511,x512)+~P7(x513,x511) % 2.99/3.08 % 2.99/3.08 %------------------------------------------- % 2.99/3.08 cnf(200,plain, % 2.99/3.08 (P1(a22)), % 2.99/3.08 inference(equality_inference,[],[78])). % 2.99/3.08 cnf(201,plain, % 2.99/3.08 (~P1(a22)+E(f2(a22),a18)), % 2.99/3.08 inference(equality_inference,[],[79])). % 2.99/3.08 cnf(203,plain, % 2.99/3.08 (~P3(x2031,a22)), % 2.99/3.08 inference(equality_inference,[],[85])). % 2.99/3.08 cnf(204,plain, % 2.99/3.08 (P1(f19(x2041))+~P3(x2041,a24)), % 2.99/3.08 inference(equality_inference,[],[94])). % 2.99/3.08 cnf(209,plain, % 2.99/3.08 (~P1(x2091)+P1(f23(x2091,x2092))+~P3(x2092,a24)), % 2.99/3.08 inference(equality_inference,[],[116])). % 2.99/3.08 cnf(215,plain, % 2.99/3.08 (~P3(x2151,f19(x2152))+P8(f25(x2151),x2152)+~P3(x2152,a24)), % 2.99/3.08 inference(equality_inference,[],[148])). % 2.99/3.08 cnf(217,plain, % 2.99/3.08 (P3(x2171,x2172)+~P1(x2172)+~P2(x2173)+~P3(x2171,f21(x2172,x2173))), % 2.99/3.08 inference(equality_inference,[],[150])). % 2.99/3.08 cnf(218,plain, % 2.99/3.08 (~P3(x2181,a24)+~P3(x2181,a24)+P3(x2181,f19(f25(x2181)))), % 2.99/3.08 inference(equality_inference,[],[153])). % 2.99/3.08 cnf(221,plain, % 2.99/3.08 (~P3(x2211,x2212)+~P1(x2212)+~P2(x2213)+P3(x2211,f20(x2212,x2213))+~P2(x2211)), % 2.99/3.08 inference(equality_inference,[],[160])). % 2.99/3.08 cnf(223,plain, % 2.99/3.08 (P6(x2231,x2232)+~P1(x2232)+~P3(x2231,f23(x2232,x2233))+~P3(x2233,a24)), % 2.99/3.08 inference(equality_inference,[],[164])). % 2.99/3.08 cnf(224,plain, % 2.99/3.08 (P3(x2241,f19(x2242))+~P3(x2241,a24)+~P8(f25(x2241),x2242)+~P3(x2242,a24)), % 2.99/3.08 inference(equality_inference,[],[172])). % 2.99/3.08 cnf(225,plain, % 2.99/3.08 (E(f2(a22),a18)), % 2.99/3.08 inference(scs_inference,[],[200,201])). % 2.99/3.08 cnf(227,plain, % 2.99/3.08 (~P3(x2271,f19(a18))), % 2.99/3.08 inference(scs_inference,[],[54,85])). % 2.99/3.08 cnf(229,plain, % 2.99/3.08 (E(a22,f19(a18))), % 2.99/3.08 inference(scs_inference,[],[54,85,2])). % 2.99/3.08 cnf(230,plain, % 2.99/3.08 (P1(f19(a18))), % 2.99/3.08 inference(scs_inference,[],[54,85,2,78])). % 2.99/3.08 cnf(232,plain, % 2.99/3.08 (P8(a18,a18)), % 2.99/3.08 inference(scs_inference,[],[64,54,85,2,78,98])). % 2.99/3.08 cnf(241,plain, % 2.99/3.08 (P3(a18,f19(f25(a18)))), % 2.99/3.08 inference(scs_inference,[],[67,77,64,65,73,54,85,2,78,98,122,138,204,42,218])). % 2.99/3.08 cnf(244,plain, % 2.99/3.08 (~P5(f19(a18))), % 2.99/3.08 inference(scs_inference,[],[67,77,64,65,73,54,76,85,2,78,98,122,138,204,42,218,3,81])). % 2.99/3.08 cnf(246,plain, % 2.99/3.08 (~P4(a24)), % 2.99/3.08 inference(scs_inference,[],[67,77,64,65,73,54,55,63,76,85,2,78,98,122,138,204,42,218,3,81,83])). % 2.99/3.08 cnf(250,plain, % 2.99/3.08 (P4(f19(a18))), % 2.99/3.08 inference(scs_inference,[],[67,77,64,65,73,54,55,61,63,76,85,2,78,98,122,138,204,42,218,3,81,83,209,43])). % 2.99/3.08 cnf(253,plain, % 2.99/3.08 (~P8(f25(a18),a18)), % 2.99/3.08 inference(scs_inference,[],[67,77,64,65,73,54,55,57,60,61,63,76,85,2,78,98,122,138,204,42,218,3,81,83,209,43,217,224])). % 2.99/3.08 cnf(255,plain, % 2.99/3.08 (P6(a22,a24)), % 2.99/3.08 inference(scs_inference,[],[67,77,203,64,65,73,54,55,57,60,61,63,200,76,85,2,78,98,122,138,204,42,218,3,81,83,209,43,217,224,142])). % 2.99/3.08 cnf(256,plain, % 2.99/3.08 (~P3(x2561,a22)), % 2.99/3.08 inference(rename_variables,[],[203])). % 2.99/3.08 cnf(258,plain, % 2.99/3.08 (P6(f19(a18),f19(a18))), % 2.99/3.08 inference(scs_inference,[],[67,77,203,64,65,73,54,55,57,60,61,63,200,76,85,2,78,98,122,138,204,42,218,3,81,83,209,43,217,224,142,168])). % 2.99/3.08 cnf(260,plain, % 2.99/3.08 (P8(f25(a18),f25(a18))), % 2.99/3.08 inference(scs_inference,[],[67,77,203,64,65,73,54,55,57,60,61,63,200,76,85,2,78,98,122,138,204,42,218,3,81,83,209,43,217,224,142,168,169])). % 2.99/3.08 cnf(262,plain, % 2.99/3.08 (~P8(f25(a28),a18)), % 2.99/3.08 inference(scs_inference,[],[67,77,203,256,64,65,73,54,55,57,60,61,63,200,76,85,2,78,98,122,138,204,42,218,3,81,83,209,43,217,224,142,168,169,172])). % 2.99/3.08 cnf(263,plain, % 2.99/3.08 (~P3(x2631,a22)), % 2.99/3.08 inference(rename_variables,[],[203])). % 2.99/3.08 cnf(265,plain, % 2.99/3.08 (P3(a31,f20(a1,a31))), % 2.99/3.08 inference(scs_inference,[],[67,77,203,256,68,64,65,73,54,55,57,59,60,61,63,200,76,85,2,78,98,122,138,204,42,218,3,81,83,209,43,217,224,142,168,169,172,221])). % 2.99/3.08 cnf(267,plain, % 2.99/3.08 (E(a22,f21(a22,a31))), % 2.99/3.08 inference(scs_inference,[],[67,77,203,256,263,68,64,65,73,54,55,57,59,60,61,63,200,76,85,2,78,98,122,138,204,42,218,3,81,83,209,43,217,224,142,168,169,172,221,192])). % 2.99/3.08 cnf(282,plain, % 2.99/3.08 (P8(a28,a28)), % 2.99/3.08 inference(scs_inference,[],[65,98])). % 2.99/3.08 cnf(285,plain, % 2.99/3.08 (P3(a28,f19(f25(a28)))), % 2.99/3.08 inference(scs_inference,[],[267,65,98,2,218])). % 2.99/3.08 cnf(287,plain, % 2.99/3.08 (P1(f23(f19(a18),a18))), % 2.99/3.08 inference(scs_inference,[],[64,267,65,230,98,2,218,209])). % 2.99/3.08 cnf(289,plain, % 2.99/3.08 (~E(f25(a18),a18)), % 2.99/3.08 inference(scs_inference,[],[253,64,267,65,230,260,98,2,218,209,49])). % 2.99/3.08 cnf(291,plain, % 2.99/3.08 (P1(f21(a22,a31))), % 2.99/3.08 inference(scs_inference,[],[253,64,229,267,255,65,230,260,200,98,2,218,209,49,46,40])). % 2.99/3.08 cnf(292,plain, % 2.99/3.08 (~P5(f21(a22,a31))), % 2.99/3.08 inference(scs_inference,[],[253,64,229,267,255,65,230,260,200,98,2,218,209,49,46,40,81])). % 2.99/3.08 cnf(294,plain, % 2.99/3.08 (E(f19(a18),f21(a22,a31))), % 2.99/3.08 inference(scs_inference,[],[253,64,54,229,267,255,65,230,260,200,98,2,218,209,49,46,40,81,3])). % 2.99/3.08 cnf(295,plain, % 2.99/3.08 (P4(f21(a22,a31))), % 2.99/3.08 inference(scs_inference,[],[253,64,54,229,267,255,65,230,260,61,200,98,2,218,209,49,46,40,81,3,43])). % 2.99/3.08 cnf(297,plain, % 2.99/3.08 (P6(f19(a18),a22)), % 2.99/3.08 inference(scs_inference,[],[253,64,54,229,267,255,65,232,230,258,260,61,200,98,2,218,209,49,46,40,81,3,43,48,47])). % 2.99/3.08 cnf(298,plain, % 2.99/3.08 (~E(f20(a1,a31),f19(a18))), % 2.99/3.08 inference(scs_inference,[],[227,253,265,64,54,229,267,255,65,232,230,258,260,61,200,98,2,218,209,49,46,40,81,3,43,48,47,42])). % 2.99/3.08 cnf(299,plain, % 2.99/3.08 (~P3(x2991,f19(a18))), % 2.99/3.08 inference(rename_variables,[],[227])). % 2.99/3.08 cnf(302,plain, % 2.99/3.08 (~P3(x3021,f21(f19(a18),a31))), % 2.99/3.08 inference(scs_inference,[],[227,299,253,265,64,54,229,267,255,65,232,230,250,258,260,246,61,200,60,98,2,218,209,49,46,40,81,3,43,48,47,42,104,217])). % 2.99/3.08 cnf(304,plain, % 2.99/3.08 (P8(f25(a28),f25(a28))), % 2.99/3.08 inference(scs_inference,[],[227,299,253,265,64,54,229,267,255,65,232,230,250,258,260,246,61,200,60,98,2,218,209,49,46,40,81,3,43,48,47,42,104,217,169])). % 2.99/3.08 cnf(306,plain, % 2.99/3.08 (P6(a22,f19(a18))), % 2.99/3.08 inference(scs_inference,[],[227,299,253,265,203,64,54,229,267,255,65,232,230,250,258,260,246,61,200,60,98,2,218,209,49,46,40,81,3,43,48,47,42,104,217,169,142])). % 2.99/3.08 cnf(311,plain, % 2.99/3.08 (P8(a18,a28)), % 2.99/3.08 inference(scs_inference,[],[227,299,253,262,265,203,64,54,229,267,255,65,232,230,250,258,260,246,61,200,60,98,2,218,209,49,46,40,81,3,43,48,47,42,104,217,169,142,168,151])). % 2.99/3.08 cnf(313,plain, % 2.99/3.08 (~P6(a1,f19(a18))), % 2.99/3.08 inference(scs_inference,[],[67,227,299,253,262,265,203,64,54,229,267,255,65,232,230,250,258,260,246,61,200,60,98,2,218,209,49,46,40,81,3,43,48,47,42,104,217,169,142,168,151,140])). % 2.99/3.08 cnf(314,plain, % 2.99/3.08 (~P3(x3141,f19(a18))), % 2.99/3.08 inference(rename_variables,[],[227])). % 2.99/3.08 cnf(318,plain, % 2.99/3.08 (E(f19(a18),f21(f19(a18),a31))), % 2.99/3.08 inference(scs_inference,[],[67,227,299,314,253,262,265,203,64,54,229,267,255,65,232,230,250,258,260,56,246,59,61,69,200,60,98,2,218,209,49,46,40,81,3,43,48,47,42,104,217,169,142,168,151,140,159,192])). % 2.99/3.08 cnf(322,plain, % 2.99/3.08 (~P3(x3221,f21(a22,a31))), % 2.99/3.08 inference(scs_inference,[],[67,227,299,314,253,262,265,203,64,54,229,267,255,65,232,230,250,258,260,56,246,59,61,69,200,60,98,2,218,209,49,46,40,81,3,43,48,47,42,104,217,169,142,168,151,140,159,192,85])). % 2.99/3.08 cnf(326,plain, % 2.99/3.08 (~P3(a24,f23(f19(a18),a18))), % 2.99/3.08 inference(scs_inference,[],[67,227,299,314,253,262,265,203,64,54,229,267,255,65,232,230,250,258,260,56,246,59,61,69,200,60,98,2,218,209,49,46,40,81,3,43,48,47,42,104,217,169,142,168,151,140,159,192,85,215,223])). % 2.99/3.08 cnf(332,plain, % 2.99/3.08 (E(f21(f19(a18),a31),f19(a18))), % 2.99/3.08 inference(scs_inference,[],[318,2])). % 2.99/3.08 cnf(333,plain, % 2.99/3.08 (P1(f21(f19(a18),a31))), % 2.99/3.08 inference(scs_inference,[],[64,318,2,94])). % 2.99/3.08 cnf(335,plain, % 2.99/3.08 (P1(f23(a1,a18))), % 2.99/3.08 inference(scs_inference,[],[64,318,59,2,94,209])). % 2.99/3.08 cnf(337,plain, % 2.99/3.08 (~E(f20(a1,a31),a22)), % 2.99/3.08 inference(scs_inference,[],[298,64,229,318,59,2,94,209,3])). % 2.99/3.08 cnf(338,plain, % 2.99/3.08 (~E(f25(a28),a18)), % 2.99/3.08 inference(scs_inference,[],[298,262,64,229,318,59,304,2,94,209,3,49])). % 2.99/3.08 cnf(339,plain, % 2.99/3.08 (P4(f21(f19(a18),a31))), % 2.99/3.08 inference(scs_inference,[],[298,262,64,229,318,59,304,250,2,94,209,3,49,43])). % 2.99/3.08 cnf(341,plain, % 2.99/3.08 (P6(a22,a22)), % 2.99/3.08 inference(scs_inference,[],[298,313,262,64,229,54,318,306,59,304,250,2,94,209,3,49,43,46,47])). % 2.99/3.08 cnf(342,plain, % 2.99/3.08 (~P5(f21(f19(a18),a31))), % 2.99/3.08 inference(scs_inference,[],[298,313,262,64,229,54,318,306,59,244,304,250,2,94,209,3,49,43,46,47,45])). % 2.99/3.08 cnf(344,plain, % 2.99/3.08 (~E(f20(a1,a31),f21(a22,a31))), % 2.99/3.08 inference(scs_inference,[],[265,322,298,313,262,64,229,54,318,306,59,244,304,232,250,2,94,209,3,49,43,46,47,45,48,42])). % 2.99/3.08 cnf(345,plain, % 2.99/3.08 (~P3(x3451,f21(a22,a31))), % 2.99/3.08 inference(rename_variables,[],[322])). % 2.99/3.08 cnf(346,plain, % 2.99/3.08 (~P3(x3461,f21(f21(a22,a31),a31))), % 2.99/3.08 inference(scs_inference,[],[265,322,345,298,313,262,64,229,54,318,306,59,291,244,304,232,250,60,2,94,209,3,49,43,46,47,45,48,42,217])). % 2.99/3.08 cnf(348,plain, % 2.99/3.08 (~P6(a24,a1)), % 2.99/3.08 inference(scs_inference,[],[265,322,345,298,313,262,64,229,54,318,306,59,291,244,304,62,232,250,246,60,2,94,209,3,49,43,46,47,45,48,42,217,104])). % 2.99/3.08 cnf(350,plain, % 2.99/3.08 (P6(f21(a22,a31),a1)), % 2.99/3.08 inference(scs_inference,[],[265,322,345,298,313,262,64,229,54,318,306,59,291,244,304,62,232,250,246,60,2,94,209,3,49,43,46,47,45,48,42,217,104,142])). % 2.99/3.08 cnf(351,plain, % 2.99/3.08 (~P3(x3511,f21(a22,a31))), % 2.99/3.08 inference(rename_variables,[],[322])). % 2.99/3.08 cnf(353,plain, % 2.99/3.08 (E(f21(a22,a31),f21(f21(a22,a31),a31))), % 2.99/3.08 inference(scs_inference,[],[265,322,345,351,298,313,262,64,229,54,318,306,59,291,244,304,62,232,250,246,60,2,94,209,3,49,43,46,47,45,48,42,217,104,142,192])). % 2.99/3.08 cnf(357,plain, % 2.99/3.08 (E(f21(f19(a18),a31),a22)), % 2.99/3.08 inference(scs_inference,[],[265,322,345,351,302,298,313,262,64,229,54,318,306,59,291,244,304,62,232,250,246,60,2,94,209,3,49,43,46,47,45,48,42,217,104,142,192,88])). % 2.99/3.08 cnf(362,plain, % 2.99/3.08 (P1(f21(f21(a22,a31),a31))), % 2.99/3.08 inference(scs_inference,[],[265,322,345,351,302,298,313,262,64,229,54,318,306,53,59,291,244,304,62,232,250,246,60,2,94,209,3,49,43,46,47,45,48,42,217,104,142,192,88,127,40])). % 2.99/3.08 cnf(363,plain, % 2.99/3.08 (~P3(a24,f23(a1,a18))), % 2.99/3.08 inference(scs_inference,[],[265,322,345,351,302,298,313,262,64,229,54,318,306,53,59,291,244,304,62,232,250,246,60,2,94,209,3,49,43,46,47,45,48,42,217,104,142,192,88,127,40,223])). % 2.99/3.08 cnf(368,plain, % 2.99/3.08 (E(f21(a22,a31),f19(a18))), % 2.99/3.08 inference(scs_inference,[],[294,2])). % 2.99/3.08 cnf(369,plain, % 2.99/3.08 (E(f21(f21(a22,a31),a31),a22)), % 2.99/3.08 inference(scs_inference,[],[346,294,362,2,88])). % 2.99/3.08 cnf(370,plain, % 2.99/3.08 (~P3(x3701,f21(f21(a22,a31),a31))), % 2.99/3.08 inference(rename_variables,[],[346])). % 2.99/3.08 cnf(372,plain, % 2.99/3.08 (~P5(f21(f21(a22,a31),a31))), % 2.99/3.08 inference(scs_inference,[],[346,294,362,2,88,81])). % 2.99/3.08 cnf(374,plain, % 2.99/3.08 (P1(f23(a1,a28))), % 2.99/3.08 inference(scs_inference,[],[346,65,294,59,362,2,88,81,209])). % 2.99/3.08 cnf(376,plain, % 2.99/3.08 (E(a22,f21(f19(a18),a31))), % 2.99/3.08 inference(scs_inference,[],[346,65,229,294,318,59,362,2,88,81,209,3])). % 2.99/3.08 cnf(378,plain, % 2.99/3.08 (P4(f21(f21(a22,a31),a31))), % 2.99/3.08 inference(scs_inference,[],[346,65,229,294,318,353,350,59,362,295,348,2,88,81,209,3,46,43])). % 2.99/3.08 cnf(379,plain, % 2.99/3.08 (P6(f19(a18),f21(a22,a31))), % 2.99/3.08 inference(scs_inference,[],[346,65,267,229,294,318,353,350,59,297,362,295,348,2,88,81,209,3,46,43,47])). % 2.99/3.08 cnf(381,plain, % 2.99/3.08 (~P3(x3811,f21(f21(a22,a31),a31))), % 2.99/3.08 inference(rename_variables,[],[346])). % 2.99/3.08 cnf(382,plain, % 2.99/3.08 (~P3(a24,f23(a1,a28))), % 2.99/3.08 inference(scs_inference,[],[265,346,370,65,267,229,294,318,353,350,59,297,362,295,348,2,88,81,209,3,46,43,47,42,223])). % 2.99/3.08 cnf(384,plain, % 2.99/3.08 (~P3(x3841,f21(f21(f21(a22,a31),a31),a31))), % 2.99/3.08 inference(scs_inference,[],[265,346,370,381,65,267,229,294,318,353,350,59,297,362,295,348,60,2,88,81,209,3,46,43,47,42,223,217])). % 2.99/3.08 cnf(386,plain, % 2.99/3.08 (P6(f21(f21(a22,a31),a31),a1)), % 2.99/3.08 inference(scs_inference,[],[265,346,370,381,65,267,229,294,318,353,350,59,297,362,295,348,60,2,88,81,209,3,46,43,47,42,223,217,142])). % 2.99/3.08 cnf(387,plain, % 2.99/3.08 (~P3(x3871,f21(f21(a22,a31),a31))), % 2.99/3.08 inference(rename_variables,[],[346])). % 2.99/3.08 cnf(389,plain, % 2.99/3.08 (P6(f19(a18),a1)), % 2.99/3.08 inference(scs_inference,[],[265,346,370,381,65,267,229,294,318,353,350,59,297,362,295,348,291,230,60,2,88,81,209,3,46,43,47,42,223,217,142,159])). % 2.99/3.08 cnf(391,plain, % 2.99/3.08 (E(f21(f21(a22,a31),a31),f21(f21(f21(a22,a31),a31),a31))), % 2.99/3.08 inference(scs_inference,[],[265,346,370,381,387,65,267,229,294,318,353,350,59,297,362,295,348,291,230,60,2,88,81,209,3,46,43,47,42,223,217,142,159,192])). % 2.99/3.08 cnf(409,plain, % 2.99/3.08 (P6(f21(f19(a18),a31),a1)), % 2.99/3.08 inference(scs_inference,[],[265,384,302,313,357,353,391,337,386,59,69,378,333,348,60,2,3,43,46,42,47,217,142])). % 2.99/3.08 cnf(412,plain, % 2.99/3.08 (P6(a22,a1)), % 2.99/3.08 inference(scs_inference,[],[265,384,302,313,357,353,306,391,337,386,59,69,378,333,389,348,200,230,60,2,3,43,46,42,47,217,142,159])). % 2.99/3.08 cnf(423,plain, % 2.99/3.08 (~E(a1,f21(a22,a31))), % 2.99/3.08 inference(scs_inference,[],[322,68,369,409,53,75,348,2,3,46,42])). % 2.99/3.08 cnf(424,plain, % 2.99/3.08 (~P3(x4241,f21(a22,a31))), % 2.99/3.08 inference(rename_variables,[],[322])). % 2.99/3.08 cnf(428,plain, % 2.99/3.08 (~P6(a1,f21(a22,a31))), % 2.99/3.08 inference(scs_inference,[],[322,326,68,267,369,409,350,53,59,341,287,75,348,291,60,2,3,46,42,47,217,128])). % 2.99/3.08 cnf(430,plain, % 2.99/3.08 (E(f19(a18),f21(f21(a22,a31),a31))), % 2.99/3.08 inference(scs_inference,[],[322,424,227,326,68,267,369,409,350,53,59,341,287,75,348,291,230,60,2,3,46,42,47,217,128,192])). % 2.99/3.08 cnf(440,plain, % 2.99/3.08 (P6(f21(a22,a31),a24)), % 2.99/3.08 inference(scs_inference,[],[267,391,255,372,2,45,46])). % 2.99/3.08 cnf(443,plain, % 2.99/3.08 (~P3(x4431,f21(f21(a22,a31),a31))), % 2.99/3.08 inference(rename_variables,[],[346])). % 2.99/3.08 cnf(448,plain, % 2.99/3.08 (E(f21(f19(a18),a31),f21(f21(f21(a22,a31),a31),a31))), % 2.99/3.08 inference(scs_inference,[],[346,443,302,363,68,267,391,386,255,59,372,289,335,225,333,362,60,2,45,46,3,42,217,128,192])). % 2.99/3.08 cnf(460,plain, % 2.99/3.08 (~E(a24,f21(a22,a31))), % 2.99/3.08 inference(scs_inference,[],[322,64,430,428,379,338,225,2,3,46,42])). % 2.99/3.08 cnf(461,plain, % 2.99/3.08 (~P3(x4611,f21(a22,a31))), % 2.99/3.08 inference(rename_variables,[],[322])). % 2.99/3.08 cnf(464,plain, % 2.99/3.08 (~P6(a24,f21(a22,a31))), % 2.99/3.08 inference(scs_inference,[],[322,382,64,430,428,379,338,374,440,225,55,291,60,2,3,46,42,217,128])). % 2.99/3.08 cnf(466,plain, % 2.99/3.08 (E(f21(f19(a18),a31),f21(f21(a22,a31),a31))), % 2.99/3.08 inference(scs_inference,[],[322,461,302,382,64,430,428,379,338,374,440,225,333,55,291,60,2,3,46,42,217,128,192])). % 2.99/3.08 cnf(474,plain, % 2.99/3.08 (E(f21(f21(f21(a22,a31),a31),a31),f21(f19(a18),a31))), % 2.99/3.08 inference(scs_inference,[],[448,2])). % 2.99/3.08 cnf(477,plain, % 2.99/3.08 (~P3(x4771,f21(f21(a22,a31),a31))), % 2.99/3.08 inference(rename_variables,[],[346])). % 2.99/3.08 cnf(478,plain, % 2.99/3.08 (E(f19(a18),f21(f21(f21(a22,a31),a31),a31))), % 2.99/3.08 inference(scs_inference,[],[346,477,227,64,267,448,341,362,230,60,2,46,42,192])). % 2.99/3.08 cnf(483,plain, % 2.99/3.08 (P6(f21(a22,a31),f21(a22,a31))), % 2.99/3.08 inference(scs_inference,[],[346,477,227,64,54,267,448,341,362,230,60,2,46,42,192,44,47])). % 2.99/3.08 cnf(489,plain, % 2.99/3.08 (~E(f23(a29,a28),f21(a22,a31))), % 2.99/3.08 inference(scs_inference,[],[322,72,466,2,42])). % 2.99/3.08 cnf(496,plain, % 2.99/3.08 (E(f21(f21(f21(a22,a31),a31),a31),f19(a18))), % 2.99/3.08 inference(scs_inference,[],[478,2])). % 2.99/3.08 cnf(498,plain, % 2.99/3.08 (~E(a1,f19(a18))), % 2.99/3.08 inference(scs_inference,[],[227,68,478,428,483,2,46,42])). % 2.99/3.08 cnf(499,plain, % 2.99/3.08 (~P3(x4991,f19(a18))), % 2.99/3.08 inference(rename_variables,[],[227])). % 2.99/3.08 cnf(500,plain, % 2.99/3.08 (E(f21(a22,a31),f21(f19(a18),a31))), % 2.99/3.08 inference(scs_inference,[],[227,499,322,68,478,428,483,291,230,60,2,46,42,192])). % 2.99/3.08 cnf(514,plain, % 2.99/3.08 (~E(a1,a22)), % 2.99/3.08 inference(scs_inference,[],[498,229,500,2,3])). % 2.99/3.08 cnf(516,plain, % 2.99/3.08 (~P3(x5161,f21(f21(a22,a31),a31))), % 2.99/3.08 inference(rename_variables,[],[346])). % 2.99/3.08 cnf(520,plain, % 2.99/3.08 (E(a22,f21(f21(f21(a22,a31),a31),a31))), % 2.99/3.08 inference(scs_inference,[],[346,516,203,498,229,72,500,464,379,59,200,362,412,60,2,3,42,46,128,192])). % 2.99/3.08 cnf(530,plain, % 2.99/3.08 (~E(a24,f21(f19(a18),a31))), % 2.99/3.08 inference(scs_inference,[],[302,64,357,520,514,2,3,42])). % 2.99/3.08 cnf(531,plain, % 2.99/3.08 (~P3(x5311,f21(f19(a18),a31))), % 2.99/3.08 inference(rename_variables,[],[302])). % 2.99/3.08 cnf(534,plain, % 2.99/3.08 (E(f21(f19(a18),a31),f21(f21(f19(a18),a31),a31))), % 2.99/3.08 inference(scs_inference,[],[302,531,64,357,520,514,409,59,333,60,2,3,42,128,192])). % 2.99/3.08 cnf(545,plain, % 2.99/3.08 (P2(f2(f19(a18)))), % 2.99/3.08 inference(scs_inference,[],[54,82,78])). % 2.99/3.08 cnf(546,plain, % 2.99/3.08 (E(f21(f21(f19(a18),a31),a31),f21(f19(a18),a31))), % 2.99/3.08 inference(scs_inference,[],[534,2])). % 2.99/3.08 cnf(553,plain, % 2.99/3.08 (E(f19(a18),f21(f19(a18),f2(f19(a18))))), % 2.99/3.08 inference(scs_inference,[],[77,227,530,326,318,66,534,342,287,230,545,339,2,43,45,3,42,217,192])). % 2.99/3.08 cnf(558,plain, % 2.99/3.08 (P1(f21(f19(a18),f2(f19(a18))))), % 2.99/3.08 inference(scs_inference,[],[77,227,530,326,267,318,66,534,342,287,230,545,339,2,43,45,3,42,217,192,44,40])). % 2.99/3.08 cnf(572,plain, % 2.99/3.08 (~P3(x5721,f21(f21(a22,a31),a31))), % 2.99/3.08 inference(rename_variables,[],[346])). % 2.99/3.08 cnf(577,plain, % 2.99/3.08 (E(f19(a18),f21(f21(f21(a22,a31),a31),f2(f19(a18))))), % 2.99/3.08 inference(scs_inference,[],[346,572,227,363,530,376,255,241,553,335,200,362,230,244,545,250,55,2,43,45,3,42,217,128,192])). % 2.99/3.08 cnf(608,plain, % 2.99/3.08 (~E(f23(a29,a28),f21(f19(a18),a31))), % 2.99/3.08 inference(scs_inference,[],[302,530,72,474,577,244,250,2,45,43,3,42])). % 2.99/3.08 cnf(609,plain, % 2.99/3.08 (~P3(x6091,f21(f19(a18),a31))), % 2.99/3.08 inference(rename_variables,[],[302])). % 2.99/3.08 cnf(612,plain, % 2.99/3.08 (E(f21(a22,a31),f21(f21(f19(a18),a31),f2(f19(a18))))), % 2.99/3.08 inference(scs_inference,[],[302,609,322,382,530,72,474,577,374,333,291,244,250,545,2,45,43,3,42,217,192])). % 2.99/3.08 cnf(628,plain, % 2.99/3.08 (E(f21(f21(f19(a18),a31),f2(f19(a18))),f21(a22,a31))), % 2.99/3.08 inference(scs_inference,[],[612,2])). % 2.99/3.08 cnf(633,plain, % 2.99/3.08 (~P3(x6331,f21(f21(a22,a31),a31))), % 2.99/3.08 inference(rename_variables,[],[346])). % 2.99/3.08 cnf(638,plain, % 2.99/3.08 (E(f21(a22,a31),f21(f21(f21(a22,a31),a31),f2(f19(a18))))), % 2.99/3.08 inference(scs_inference,[],[77,346,633,322,203,608,474,285,612,292,57,200,362,291,295,545,60,2,43,45,3,42,217,150,192])). % 2.99/3.08 cnf(643,plain, % 2.99/3.08 (P8(a18,x6431)+~E(a28,x6431)), % 2.99/3.08 inference(scs_inference,[],[77,346,633,322,203,608,474,285,612,260,292,57,200,362,291,311,295,545,60,2,43,45,3,42,217,150,192,48,49])). % 2.99/3.08 cnf(654,plain, % 2.99/3.08 (E(f19(a18),f21(f21(f19(a18),a31),a31))), % 2.99/3.08 inference(scs_inference,[],[318,534,638,2,3])). % 2.99/3.08 cnf(655,plain, % 2.99/3.08 (~E(f19(f25(a18)),f21(f19(a18),a31))), % 2.99/3.08 inference(scs_inference,[],[302,318,534,638,241,2,3,42])). % 2.99/3.08 cnf(656,plain, % 2.99/3.08 (~P3(x6561,f21(f19(a18),a31))), % 2.99/3.08 inference(rename_variables,[],[302])). % 2.99/3.08 cnf(661,plain, % 2.99/3.08 (E(f19(a18),f21(f21(f19(a18),a31),f2(f19(a18))))), % 2.99/3.08 inference(scs_inference,[],[302,656,227,203,318,534,638,241,333,200,230,545,60,2,3,42,217,150,192])). % 2.99/3.08 cnf(673,plain, % 2.99/3.08 (~E(f19(f25(a28)),f21(f19(a18),a31))), % 2.99/3.08 inference(scs_inference,[],[302,655,318,654,285,2,3,42])). % 2.99/3.08 cnf(674,plain, % 2.99/3.08 (~P3(x6741,f21(f19(a18),a31))), % 2.99/3.08 inference(rename_variables,[],[302])). % 2.99/3.08 cnf(677,plain, % 2.99/3.08 (E(a22,f21(f21(f19(a18),a31),f2(f19(a18))))), % 2.99/3.08 inference(scs_inference,[],[302,674,322,203,655,318,654,285,333,200,291,545,2,3,42,217,192])). % 2.99/3.08 cnf(681,plain, % 2.99/3.08 (~P1(f21(f21(a22,a31),f2(f19(a18))))+E(f21(f21(a22,a31),f2(f19(a18))),a22)), % 2.99/3.08 inference(scs_inference,[],[302,674,322,203,655,318,654,285,333,200,291,545,2,3,42,217,192,88])). % 2.99/3.08 cnf(695,plain, % 2.99/3.08 (E(f21(f19(a18),f2(f19(a18))),a22)), % 2.99/3.08 inference(scs_inference,[],[346,227,203,673,318,661,362,200,230,558,545,2,3,217,192,88])). % 2.99/3.08 cnf(710,plain, % 2.99/3.08 (P3(x7101,f19(f25(a18)))+~E(a18,x7101)), % 2.99/3.08 inference(scs_inference,[],[608,546,409,677,241,2,3,47,41])). % 2.99/3.08 cnf(723,plain, % 2.99/3.08 (P3(x7231,f19(f25(a28)))+~E(a28,x7231)), % 2.99/3.08 inference(scs_inference,[],[655,376,695,285,2,3,41])). % 2.99/3.08 cnf(755,plain, % 2.99/3.08 (P3(f2(a1),a24)), % 2.99/3.08 inference(scs_inference,[],[65,53,282,2,49,48,41])). % 2.99/3.08 cnf(758,plain, % 2.99/3.08 (~P3(x7581,f21(a22,a31))), % 2.99/3.08 inference(rename_variables,[],[322])). % 2.99/3.08 cnf(759,plain, % 2.99/3.08 (~P3(a24,f23(a1,f2(a1)))), % 2.99/3.08 inference(scs_inference,[],[322,498,65,496,241,53,59,282,348,2,49,48,41,3,42,223])). % 2.99/3.08 cnf(763,plain, % 2.99/3.08 (~P8(f25(f2(a1)),a18)), % 2.99/3.08 inference(scs_inference,[],[322,203,498,64,65,229,496,241,53,59,282,62,348,2,49,48,41,3,42,223,180,172])). % 2.99/3.08 cnf(766,plain, % 2.99/3.08 (E(f21(a22,a31),f21(f21(a22,a31),f2(f19(a18))))), % 2.99/3.08 inference(scs_inference,[],[322,758,203,498,64,65,229,496,241,53,59,282,291,62,348,545,2,49,48,41,3,42,223,180,172,192])). % 2.99/3.08 cnf(770,plain, % 2.99/3.08 (P3(f2(a1),f19(f25(a28)))), % 2.99/3.08 inference(scs_inference,[],[322,758,203,498,64,65,229,496,241,53,59,282,291,62,348,545,2,49,48,41,3,42,223,180,172,192,723])). % 2.99/3.08 cnf(771,plain, % 2.99/3.08 (P8(a18,f2(a1))), % 2.99/3.08 inference(scs_inference,[],[322,758,203,498,64,65,229,496,241,53,59,282,291,62,348,545,2,49,48,41,3,42,223,180,172,192,723,643])). % 2.99/3.08 cnf(774,plain, % 2.99/3.08 (P8(f2(a1),f2(a1))), % 2.99/3.08 inference(scs_inference,[],[322,758,203,498,64,65,229,496,241,53,59,282,291,62,348,545,2,49,48,41,3,42,223,180,172,192,723,643,204,98])). % 2.99/3.08 cnf(776,plain, % 2.99/3.08 (P3(f2(a1),f19(f25(f2(a1))))), % 2.99/3.08 inference(scs_inference,[],[322,758,203,498,64,65,229,496,241,53,59,282,291,62,348,545,2,49,48,41,3,42,223,180,172,192,723,643,204,98,218])). % 2.99/3.08 cnf(778,plain, % 2.99/3.08 (P1(f23(a1,f2(a1)))), % 2.99/3.08 inference(scs_inference,[],[322,758,203,498,64,65,229,496,241,53,59,282,291,62,348,545,2,49,48,41,3,42,223,180,172,192,723,643,204,98,218,209])). % 2.99/3.08 cnf(782,plain, % 2.99/3.08 (P1(f21(f21(a22,a31),f2(f19(a18))))), % 2.99/3.08 inference(scs_inference,[],[322,758,203,498,64,65,229,496,241,53,59,282,291,62,348,545,2,49,48,41,3,42,223,180,172,192,723,643,204,98,218,209,215,40])). % 2.99/3.08 cnf(785,plain, % 2.99/3.08 (P8(f25(f2(a1)),f25(f2(a1)))), % 2.99/3.08 inference(scs_inference,[],[322,758,203,498,64,65,229,496,241,53,59,282,291,295,62,348,545,2,49,48,41,3,42,223,180,172,192,723,643,204,98,218,209,215,40,43,46,169])). % 2.99/3.08 cnf(796,plain, % 2.99/3.08 (E(f21(f21(a22,a31),f2(f19(a18))),a22)), % 2.99/3.08 inference(scs_inference,[],[782,681])). % 2.99/3.08 cnf(800,plain, % 2.99/3.08 (P3(a28,f19(f25(f2(a1))))), % 2.99/3.08 inference(scs_inference,[],[763,766,776,53,785,2,49,41])). % 2.99/3.08 cnf(802,plain, % 2.99/3.08 (~E(f19(f25(f2(a1))),f19(a18))), % 2.99/3.08 inference(scs_inference,[],[227,344,763,628,766,776,53,785,2,49,41,3,42])). % 2.99/3.08 cnf(803,plain, % 2.99/3.08 (~P3(x8031,f19(a18))), % 2.99/3.08 inference(rename_variables,[],[227])). % 2.99/3.08 cnf(810,plain, % 2.99/3.08 (E(f21(f21(a22,a31),a31),f21(f19(a18),f2(f19(a18))))), % 2.99/3.08 inference(scs_inference,[],[227,803,346,344,763,755,759,628,766,776,53,59,362,230,778,774,785,62,545,2,49,41,3,42,168,217,180,192])). % 2.99/3.08 cnf(825,plain, % 2.99/3.08 (~P3(x8251,f21(a22,a31))), % 2.99/3.08 inference(rename_variables,[],[322])). % 2.99/3.08 cnf(828,plain, % 2.99/3.08 (E(f21(f19(a18),a31),f21(f21(a22,a31),f2(f19(a18))))), % 2.99/3.08 inference(scs_inference,[],[322,825,302,770,802,64,229,810,59,333,291,771,62,545,2,3,42,180,192])). % 2.99/3.08 cnf(842,plain, % 2.99/3.08 (E(f21(a22,a31),f21(f19(a18),f2(f19(a18))))), % 2.99/3.08 inference(scs_inference,[],[227,322,802,332,796,291,230,545,2,3,192])). % 2.99/3.08 cnf(846,plain, % 2.99/3.08 (P8(x8461,f2(a1))+~E(a18,x8461)), % 2.99/3.08 inference(scs_inference,[],[227,322,802,332,796,291,230,771,545,2,3,192,48])). % 2.99/3.08 cnf(855,plain, % 2.99/3.08 (~P3(x8551,f21(f21(a22,a31),a31))), % 2.99/3.08 inference(rename_variables,[],[346])). % 2.99/3.08 cnf(861,plain, % 2.99/3.08 (P6(a22,f23(f19(a18),a18))), % 2.99/3.08 inference(scs_inference,[],[755,346,855,800,802,369,368,828,440,287,362,2,209,42,3,142,47,46])). % 2.99/3.08 cnf(881,plain, % 2.99/3.08 (P6(a22,f23(a1,a18))), % 2.99/3.08 inference(scs_inference,[],[755,227,460,267,306,628,842,335,200,230,861,2,209,46,3,142,159])). % 2.99/3.08 cnf(899,plain, % 2.99/3.08 (P6(f21(f21(a22,a31),a31),f23(a1,a28))), % 2.99/3.08 inference(scs_inference,[],[755,346,489,64,267,628,232,225,311,374,362,881,2,209,49,41,48,46,3,142])). % 2.99/3.08 cnf(911,plain, % 2.99/3.08 (P8(f2(a22),f2(a22))), % 2.99/3.08 inference(scs_inference,[],[755,346,203,489,64,267,229,628,232,225,311,374,362,200,881,61,2,209,49,41,48,46,3,142,172,180,710,846,204,98])). % 2.99/3.08 cnf(913,plain, % 2.99/3.08 (P3(f2(a22),f19(f25(f2(a22))))), % 2.99/3.08 inference(scs_inference,[],[755,346,203,489,64,267,229,628,232,225,311,374,362,200,881,61,2,209,49,41,48,46,3,142,172,180,710,846,204,98,218])). % 2.99/3.08 cnf(936,plain, % 2.99/3.08 (~P6(a1,a30)), % 2.99/3.08 inference(scs_inference,[],[67,77,755,322,253,423,369,628,899,913,225,57,911,209,49,41,48,46,42,3,140])). % 2.99/3.08 cnf(1203,plain, % 2.99/3.08 ($false), % 2.99/3.08 inference(scs_inference,[],[302,936,65,72,57,333,71,545,223,142,217,162]), % 2.99/3.08 ['proof']). % 2.99/3.08 % SZS output end Proof % 2.99/3.08 % Total time :2.400000s %------------------------------------------------------------------------------