%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : NUM547+1 : 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 12:24:57 EDT 2024 % Result : Theorem 4.77s 4.85s % Output : CNFRefutation 4.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : NUM547+1 : TPTP v8.2.0. Released v4.0.0. % 0.12/0.12 % 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 : Sun Jun 23 03:18:24 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.56 start to proof:theBenchmark % 4.77/4.83 %------------------------------------------- % 4.77/4.83 % File :CSE---1.7 % 4.77/4.83 % Problem :theBenchmark % 4.77/4.83 % Transform :cnf % 4.77/4.83 % Format :tptp:raw % 4.77/4.83 % Command :java -jar mcs_scs.jar %d %s % 4.77/4.83 % 4.77/4.84 % Result :Theorem 4.220000s % 4.77/4.84 % Output :CNFRefutation 4.220000s % 4.77/4.84 %------------------------------------------- % 4.77/4.84 %------------------------------------------------------------------------------ % 4.77/4.84 % File : NUM547+1 : TPTP v8.2.0. Released v4.0.0. % 4.77/4.84 % Domain : Number Theory % 4.77/4.84 % Problem : Ramsey's Infinite Theorem 12_01, 00 expansion % 4.77/4.84 % Version : Especial. % 4.77/4.84 % English : % 4.77/4.84 % 4.77/4.84 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction % 4.77/4.84 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe % 4.77/4.84 % Source : [Pas08] % 4.77/4.84 % Names : ramsey_12_01.00 [Pas08] % 4.77/4.84 % 4.77/4.84 % Status : Theorem % 4.77/4.84 % Rating : 0.28 v8.2.0, 0.33 v8.1.0, 0.28 v7.4.0, 0.27 v7.3.0, 0.24 v7.2.0, 0.21 v7.1.0, 0.26 v7.0.0, 0.20 v6.4.0, 0.27 v6.3.0, 0.25 v6.2.0, 0.28 v6.1.0, 0.30 v6.0.0, 0.22 v5.5.0, 0.30 v5.4.0, 0.32 v5.3.0, 0.33 v5.2.0, 0.20 v5.1.0, 0.38 v5.0.0, 0.46 v4.1.0, 0.52 v4.0.1, 0.83 v4.0.0 % 4.77/4.84 % Syntax : Number of formulae : 65 ( 6 unt; 8 def) % 4.77/4.84 % Number of atoms : 236 ( 38 equ) % 4.77/4.84 % Maximal formula atoms : 8 ( 3 avg) % 4.77/4.84 % Number of connectives : 189 ( 18 ~; 4 |; 66 &) % 4.77/4.84 % ( 17 <=>; 84 =>; 0 <=; 0 <~>) % 4.77/4.84 % Maximal formula depth : 12 ( 5 avg) % 4.77/4.84 % Maximal term depth : 4 ( 1 avg) % 4.77/4.84 % Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty) % 4.77/4.84 % Number of functors : 15 ( 15 usr; 7 con; 0-2 aty) % 4.77/4.84 % Number of variables : 107 ( 102 !; 5 ?) % 4.77/4.84 % SPC : FOF_THM_RFO_SEQ % 4.77/4.84 % 4.77/4.84 % Comments : Problem generated by the SAD system [VLP07] % 4.77/4.84 %------------------------------------------------------------------------------ % 4.77/4.84 fof(mSetSort,axiom, % 4.77/4.84 ! [W0] : % 4.77/4.84 ( aSet0(W0) % 4.77/4.84 => $true ) ). % 4.77/4.84 % 4.77/4.84 fof(mElmSort,axiom, % 4.77/4.84 ! [W0] : % 4.77/4.84 ( aElement0(W0) % 4.77/4.84 => $true ) ). % 4.77/4.84 % 4.77/4.84 fof(mEOfElem,axiom, % 4.77/4.84 ! [W0] : % 4.77/4.84 ( aSet0(W0) % 4.77/4.84 => ! [W1] : % 4.77/4.84 ( aElementOf0(W1,W0) % 4.77/4.84 => aElement0(W1) ) ) ). % 4.77/4.84 % 4.77/4.84 fof(mFinRel,axiom, % 4.77/4.84 ! [W0] : % 4.77/4.84 ( aSet0(W0) % 4.77/4.84 => ( isFinite0(W0) % 4.77/4.84 => $true ) ) ). % 4.77/4.84 % 4.77/4.84 fof(mDefEmp,definition, % 4.77/4.84 ! [W0] : % 4.77/4.84 ( W0 = slcrc0 % 4.77/4.84 <=> ( aSet0(W0) % 4.77/4.84 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ). % 4.77/4.84 % 4.77/4.84 fof(mEmpFin,axiom, % 4.77/4.84 isFinite0(slcrc0) ). % 4.77/4.84 % 4.77/4.84 fof(mCntRel,axiom, % 4.77/4.84 ! [W0] : % 4.77/4.84 ( aSet0(W0) % 4.77/4.84 => ( isCountable0(W0) % 4.77/4.84 => $true ) ) ). % 4.77/4.84 % 4.77/4.84 fof(mCountNFin,axiom, % 4.77/4.84 ! [W0] : % 4.77/4.84 ( ( aSet0(W0) % 4.77/4.84 & isCountable0(W0) ) % 4.77/4.84 => ~ isFinite0(W0) ) ). % 4.77/4.84 % 4.77/4.84 fof(mCountNFin_01,axiom, % 4.77/4.84 ! [W0] : % 4.77/4.84 ( ( aSet0(W0) % 4.77/4.84 & isCountable0(W0) ) % 4.77/4.84 => W0 != slcrc0 ) ). % 4.77/4.84 % 4.77/4.84 fof(mDefSub,definition, % 4.77/4.84 ! [W0] : % 4.77/4.84 ( aSet0(W0) % 4.77/4.84 => ! [W1] : % 4.77/4.84 ( aSubsetOf0(W1,W0) % 4.77/4.84 <=> ( aSet0(W1) % 4.77/4.84 & ! [W2] : % 4.77/4.84 ( aElementOf0(W2,W1) % 4.77/4.84 => aElementOf0(W2,W0) ) ) ) ) ). % 4.77/4.84 % 4.77/4.84 fof(mSubFSet,axiom, % 4.77/4.84 ! [W0] : % 4.77/4.84 ( ( aSet0(W0) % 4.77/4.84 & isFinite0(W0) ) % 4.77/4.84 => ! [W1] : % 4.77/4.84 ( aSubsetOf0(W1,W0) % 4.77/4.84 => isFinite0(W1) ) ) ). % 4.77/4.84 % 4.77/4.84 fof(mSubRefl,axiom, % 4.77/4.84 ! [W0] : % 4.77/4.84 ( aSet0(W0) % 4.77/4.84 => aSubsetOf0(W0,W0) ) ). % 4.77/4.84 % 4.77/4.84 fof(mSubASymm,axiom, % 4.77/4.84 ! [W0,W1] : % 4.77/4.84 ( ( aSet0(W0) % 4.77/4.84 & aSet0(W1) ) % 4.77/4.84 => ( ( aSubsetOf0(W0,W1) % 4.77/4.84 & aSubsetOf0(W1,W0) ) % 4.77/4.84 => W0 = W1 ) ) ). % 4.77/4.84 % 4.77/4.84 fof(mSubTrans,axiom, % 4.77/4.84 ! [W0,W1,W2] : % 4.77/4.84 ( ( aSet0(W0) % 4.77/4.84 & aSet0(W1) % 4.77/4.84 & aSet0(W2) ) % 4.77/4.84 => ( ( aSubsetOf0(W0,W1) % 4.77/4.84 & aSubsetOf0(W1,W2) ) % 4.77/4.84 => aSubsetOf0(W0,W2) ) ) ). % 4.77/4.84 % 4.77/4.84 fof(mDefCons,definition, % 4.77/4.84 ! [W0,W1] : % 4.77/4.84 ( ( aSet0(W0) % 4.77/4.84 & aElement0(W1) ) % 4.77/4.84 => ! [W2] : % 4.77/4.84 ( W2 = sdtpldt0(W0,W1) % 4.77/4.84 <=> ( aSet0(W2) % 4.77/4.84 & ! [W3] : % 4.77/4.85 ( aElementOf0(W3,W2) % 4.77/4.85 <=> ( aElement0(W3) % 4.77/4.85 & ( aElementOf0(W3,W0) % 4.77/4.85 | W3 = W1 ) ) ) ) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mDefDiff,definition, % 4.77/4.85 ! [W0,W1] : % 4.77/4.85 ( ( aSet0(W0) % 4.77/4.85 & aElement0(W1) ) % 4.77/4.85 => ! [W2] : % 4.77/4.85 ( W2 = sdtmndt0(W0,W1) % 4.77/4.85 <=> ( aSet0(W2) % 4.77/4.85 & ! [W3] : % 4.77/4.85 ( aElementOf0(W3,W2) % 4.77/4.85 <=> ( aElement0(W3) % 4.77/4.85 & aElementOf0(W3,W0) % 4.77/4.85 & W3 != W1 ) ) ) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mConsDiff,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( aSet0(W0) % 4.77/4.85 => ! [W1] : % 4.77/4.85 ( aElementOf0(W1,W0) % 4.77/4.85 => sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mDiffCons,axiom, % 4.77/4.85 ! [W0,W1] : % 4.77/4.85 ( ( aElement0(W0) % 4.77/4.85 & aSet0(W1) ) % 4.77/4.85 => ( ~ aElementOf0(W0,W1) % 4.77/4.85 => sdtmndt0(sdtpldt0(W1,W0),W0) = W1 ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mCConsSet,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( aElement0(W0) % 4.77/4.85 => ! [W1] : % 4.77/4.85 ( ( aSet0(W1) % 4.77/4.85 & isCountable0(W1) ) % 4.77/4.85 => isCountable0(sdtpldt0(W1,W0)) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mCDiffSet,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( aElement0(W0) % 4.77/4.85 => ! [W1] : % 4.77/4.85 ( ( aSet0(W1) % 4.77/4.85 & isCountable0(W1) ) % 4.77/4.85 => isCountable0(sdtmndt0(W1,W0)) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mFConsSet,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( aElement0(W0) % 4.77/4.85 => ! [W1] : % 4.77/4.85 ( ( aSet0(W1) % 4.77/4.85 & isFinite0(W1) ) % 4.77/4.85 => isFinite0(sdtpldt0(W1,W0)) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mFDiffSet,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( aElement0(W0) % 4.77/4.85 => ! [W1] : % 4.77/4.85 ( ( aSet0(W1) % 4.77/4.85 & isFinite0(W1) ) % 4.77/4.85 => isFinite0(sdtmndt0(W1,W0)) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mNATSet,axiom, % 4.77/4.85 ( aSet0(szNzAzT0) % 4.77/4.85 & isCountable0(szNzAzT0) ) ). % 4.77/4.85 % 4.77/4.85 fof(mZeroNum,axiom, % 4.77/4.85 aElementOf0(sz00,szNzAzT0) ). % 4.77/4.85 % 4.77/4.85 fof(mSuccNum,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( aElementOf0(W0,szNzAzT0) % 4.77/4.85 => ( aElementOf0(szszuzczcdt0(W0),szNzAzT0) % 4.77/4.85 & szszuzczcdt0(W0) != sz00 ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mSuccEquSucc,axiom, % 4.77/4.85 ! [W0,W1] : % 4.77/4.85 ( ( aElementOf0(W0,szNzAzT0) % 4.77/4.85 & aElementOf0(W1,szNzAzT0) ) % 4.77/4.85 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1) % 4.77/4.85 => W0 = W1 ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mNatExtra,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( aElementOf0(W0,szNzAzT0) % 4.77/4.85 => ( W0 = sz00 % 4.77/4.85 | ? [W1] : % 4.77/4.85 ( aElementOf0(W1,szNzAzT0) % 4.77/4.85 & W0 = szszuzczcdt0(W1) ) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mNatNSucc,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( aElementOf0(W0,szNzAzT0) % 4.77/4.85 => W0 != szszuzczcdt0(W0) ) ). % 4.77/4.85 % 4.77/4.85 fof(mLessRel,axiom, % 4.77/4.85 ! [W0,W1] : % 4.77/4.85 ( ( aElementOf0(W0,szNzAzT0) % 4.77/4.85 & aElementOf0(W1,szNzAzT0) ) % 4.77/4.85 => ( sdtlseqdt0(W0,W1) % 4.77/4.85 => $true ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mZeroLess,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( aElementOf0(W0,szNzAzT0) % 4.77/4.85 => sdtlseqdt0(sz00,W0) ) ). % 4.77/4.85 % 4.77/4.85 fof(mNoScLessZr,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( aElementOf0(W0,szNzAzT0) % 4.77/4.85 => ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) ). % 4.77/4.85 % 4.77/4.85 fof(mSuccLess,axiom, % 4.77/4.85 ! [W0,W1] : % 4.77/4.85 ( ( aElementOf0(W0,szNzAzT0) % 4.77/4.85 & aElementOf0(W1,szNzAzT0) ) % 4.77/4.85 => ( sdtlseqdt0(W0,W1) % 4.77/4.85 <=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mLessSucc,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( aElementOf0(W0,szNzAzT0) % 4.77/4.85 => sdtlseqdt0(W0,szszuzczcdt0(W0)) ) ). % 4.77/4.85 % 4.77/4.85 fof(mLessRefl,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( aElementOf0(W0,szNzAzT0) % 4.77/4.85 => sdtlseqdt0(W0,W0) ) ). % 4.77/4.85 % 4.77/4.85 fof(mLessASymm,axiom, % 4.77/4.85 ! [W0,W1] : % 4.77/4.85 ( ( aElementOf0(W0,szNzAzT0) % 4.77/4.85 & aElementOf0(W1,szNzAzT0) ) % 4.77/4.85 => ( ( sdtlseqdt0(W0,W1) % 4.77/4.85 & sdtlseqdt0(W1,W0) ) % 4.77/4.85 => W0 = W1 ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mLessTrans,axiom, % 4.77/4.85 ! [W0,W1,W2] : % 4.77/4.85 ( ( aElementOf0(W0,szNzAzT0) % 4.77/4.85 & aElementOf0(W1,szNzAzT0) % 4.77/4.85 & aElementOf0(W2,szNzAzT0) ) % 4.77/4.85 => ( ( sdtlseqdt0(W0,W1) % 4.77/4.85 & sdtlseqdt0(W1,W2) ) % 4.77/4.85 => sdtlseqdt0(W0,W2) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mLessTotal,axiom, % 4.77/4.85 ! [W0,W1] : % 4.77/4.85 ( ( aElementOf0(W0,szNzAzT0) % 4.77/4.85 & aElementOf0(W1,szNzAzT0) ) % 4.77/4.85 => ( sdtlseqdt0(W0,W1) % 4.77/4.85 | sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mIHSort,axiom, % 4.77/4.85 ! [W0,W1] : % 4.77/4.85 ( ( aElementOf0(W0,szNzAzT0) % 4.77/4.85 & aElementOf0(W1,szNzAzT0) ) % 4.77/4.85 => ( iLess0(W0,W1) % 4.77/4.85 => $true ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mIH,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( aElementOf0(W0,szNzAzT0) % 4.77/4.85 => iLess0(W0,szszuzczcdt0(W0)) ) ). % 4.77/4.85 % 4.77/4.85 fof(mCardS,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( aSet0(W0) % 4.77/4.85 => aElement0(sbrdtbr0(W0)) ) ). % 4.77/4.85 % 4.77/4.85 fof(mCardNum,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( aSet0(W0) % 4.77/4.85 => ( aElementOf0(sbrdtbr0(W0),szNzAzT0) % 4.77/4.85 <=> isFinite0(W0) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mCardEmpty,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( aSet0(W0) % 4.77/4.85 => ( sbrdtbr0(W0) = sz00 % 4.77/4.85 <=> W0 = slcrc0 ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mCardCons,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( ( aSet0(W0) % 4.77/4.85 & isFinite0(W0) ) % 4.77/4.85 => ! [W1] : % 4.77/4.85 ( aElement0(W1) % 4.77/4.85 => ( ~ aElementOf0(W1,W0) % 4.77/4.85 => sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mCardDiff,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( aSet0(W0) % 4.77/4.85 => ! [W1] : % 4.77/4.85 ( ( isFinite0(W0) % 4.77/4.85 & aElementOf0(W1,W0) ) % 4.77/4.85 => szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mCardSub,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( aSet0(W0) % 4.77/4.85 => ! [W1] : % 4.77/4.85 ( ( isFinite0(W0) % 4.77/4.85 & aSubsetOf0(W1,W0) ) % 4.77/4.85 => sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mCardSubEx,axiom, % 4.77/4.85 ! [W0,W1] : % 4.77/4.85 ( ( aSet0(W0) % 4.77/4.85 & aElementOf0(W1,szNzAzT0) ) % 4.77/4.85 => ( ( isFinite0(W0) % 4.77/4.85 & sdtlseqdt0(W1,sbrdtbr0(W0)) ) % 4.77/4.85 => ? [W2] : % 4.77/4.85 ( aSubsetOf0(W2,W0) % 4.77/4.85 & sbrdtbr0(W2) = W1 ) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mDefMin,definition, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( ( aSubsetOf0(W0,szNzAzT0) % 4.77/4.85 & W0 != slcrc0 ) % 4.77/4.85 => ! [W1] : % 4.77/4.85 ( W1 = szmzizndt0(W0) % 4.77/4.85 <=> ( aElementOf0(W1,W0) % 4.77/4.85 & ! [W2] : % 4.77/4.85 ( aElementOf0(W2,W0) % 4.77/4.85 => sdtlseqdt0(W1,W2) ) ) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mDefMax,definition, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( ( aSubsetOf0(W0,szNzAzT0) % 4.77/4.85 & isFinite0(W0) % 4.77/4.85 & W0 != slcrc0 ) % 4.77/4.85 => ! [W1] : % 4.77/4.85 ( W1 = szmzazxdt0(W0) % 4.77/4.85 <=> ( aElementOf0(W1,W0) % 4.77/4.85 & ! [W2] : % 4.77/4.85 ( aElementOf0(W2,W0) % 4.77/4.85 => sdtlseqdt0(W2,W1) ) ) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mMinMin,axiom, % 4.77/4.85 ! [W0,W1] : % 4.77/4.85 ( ( aSubsetOf0(W0,szNzAzT0) % 4.77/4.85 & aSubsetOf0(W1,szNzAzT0) % 4.77/4.85 & W0 != slcrc0 % 4.77/4.85 & W1 != slcrc0 ) % 4.77/4.85 => ( ( aElementOf0(szmzizndt0(W0),W1) % 4.77/4.85 & aElementOf0(szmzizndt0(W1),W0) ) % 4.77/4.85 => szmzizndt0(W0) = szmzizndt0(W1) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mDefSeg,definition, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( aElementOf0(W0,szNzAzT0) % 4.77/4.85 => ! [W1] : % 4.77/4.85 ( W1 = slbdtrb0(W0) % 4.77/4.85 <=> ( aSet0(W1) % 4.77/4.85 & ! [W2] : % 4.77/4.85 ( aElementOf0(W2,W1) % 4.77/4.85 <=> ( aElementOf0(W2,szNzAzT0) % 4.77/4.85 & sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mSegFin,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( aElementOf0(W0,szNzAzT0) % 4.77/4.85 => isFinite0(slbdtrb0(W0)) ) ). % 4.77/4.85 % 4.77/4.85 fof(mSegZero,axiom, % 4.77/4.85 slbdtrb0(sz00) = slcrc0 ). % 4.77/4.85 % 4.77/4.85 fof(mSegSucc,axiom, % 4.77/4.85 ! [W0,W1] : % 4.77/4.85 ( ( aElementOf0(W0,szNzAzT0) % 4.77/4.85 & aElementOf0(W1,szNzAzT0) ) % 4.77/4.85 => ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1))) % 4.77/4.85 <=> ( aElementOf0(W0,slbdtrb0(W1)) % 4.77/4.85 | W0 = W1 ) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mSegLess,axiom, % 4.77/4.85 ! [W0,W1] : % 4.77/4.85 ( ( aElementOf0(W0,szNzAzT0) % 4.77/4.85 & aElementOf0(W1,szNzAzT0) ) % 4.77/4.85 => ( sdtlseqdt0(W0,W1) % 4.77/4.85 <=> aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mFinSubSeg,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( ( aSubsetOf0(W0,szNzAzT0) % 4.77/4.85 & isFinite0(W0) ) % 4.77/4.85 => ? [W1] : % 4.77/4.85 ( aElementOf0(W1,szNzAzT0) % 4.77/4.85 & aSubsetOf0(W0,slbdtrb0(W1)) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mCardSeg,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( aElementOf0(W0,szNzAzT0) % 4.77/4.85 => sbrdtbr0(slbdtrb0(W0)) = W0 ) ). % 4.77/4.85 % 4.77/4.85 fof(mDefSel,definition, % 4.77/4.85 ! [W0,W1] : % 4.77/4.85 ( ( aSet0(W0) % 4.77/4.85 & aElementOf0(W1,szNzAzT0) ) % 4.77/4.85 => ! [W2] : % 4.77/4.85 ( W2 = slbdtsldtrb0(W0,W1) % 4.77/4.85 <=> ( aSet0(W2) % 4.77/4.85 & ! [W3] : % 4.77/4.85 ( aElementOf0(W3,W2) % 4.77/4.85 <=> ( aSubsetOf0(W3,W0) % 4.77/4.85 & sbrdtbr0(W3) = W1 ) ) ) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mSelFSet,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( ( aSet0(W0) % 4.77/4.85 & isFinite0(W0) ) % 4.77/4.85 => ! [W1] : % 4.77/4.85 ( aElementOf0(W1,szNzAzT0) % 4.77/4.85 => isFinite0(slbdtsldtrb0(W0,W1)) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mSelNSet,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( ( aSet0(W0) % 4.77/4.85 & ~ isFinite0(W0) ) % 4.77/4.85 => ! [W1] : % 4.77/4.85 ( aElementOf0(W1,szNzAzT0) % 4.77/4.85 => slbdtsldtrb0(W0,W1) != slcrc0 ) ) ). % 4.77/4.85 % 4.77/4.85 fof(mSelCSet,axiom, % 4.77/4.85 ! [W0] : % 4.77/4.85 ( ( aSet0(W0) % 4.77/4.85 & isCountable0(W0) ) % 4.77/4.85 => ! [W1] : % 4.77/4.85 ( ( aElementOf0(W1,szNzAzT0) % 4.77/4.85 & W1 != sz00 ) % 4.77/4.85 => isCountable0(slbdtsldtrb0(W0,W1)) ) ) ). % 4.77/4.85 % 4.77/4.85 fof(m__2202,hypothesis, % 4.77/4.85 aElementOf0(xk,szNzAzT0) ). % 4.77/4.85 % 4.77/4.85 fof(m__2202_02,hypothesis, % 4.77/4.85 ( aSet0(xS) % 4.77/4.85 & aSet0(xT) % 4.77/4.85 & xk != sz00 ) ). % 4.77/4.85 % 4.77/4.85 fof(m__2227,hypothesis, % 4.77/4.85 ( aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)) % 4.77/4.85 & slbdtsldtrb0(xS,xk) != slcrc0 ) ). % 4.77/4.85 % 4.77/4.85 fof(m__2256,hypothesis, % 4.77/4.85 aElementOf0(xx,xS) ). % 4.77/4.85 % 4.77/4.85 fof(m__,conjecture, % 4.77/4.85 ? [W0] : aElementOf0(W0,slbdtsldtrb0(xS,xk)) ). % 4.77/4.85 % 4.77/4.85 %------------------------------------------------------------------------------ % 4.77/4.85 %------------------------------------------- % 4.77/4.85 % Proof found % 4.77/4.85 % SZS status Theorem for theBenchmark % 4.77/4.85 % SZS output start Proof % 4.77/4.85 %ClaNum:160(EqnAxiom:48) % 4.77/4.85 %VarNum:715(SingletonVarNum:219) % 4.77/4.85 %MaxLitNum:8 % 4.77/4.85 %MaxfuncDepth:3 % 4.77/4.85 %SharedTerms:22 % 4.77/4.85 %goalClause: 61 % 4.77/4.85 %singleGoalClaCount:1 % 4.77/4.85 [50]P1(a19) % 4.77/4.85 [51]P1(a20) % 4.77/4.85 [52]P1(a24) % 4.77/4.85 [53]P4(a17) % 4.77/4.85 [54]P5(a19) % 4.77/4.85 [55]P2(a1,a19) % 4.77/4.85 [56]P2(a25,a19) % 4.77/4.85 [57]P2(a26,a20) % 4.77/4.85 [59]~E(a25,a1) % 4.77/4.85 [49]E(f2(a1),a17) % 4.77/4.85 [58]P6(f18(a20,a25),f18(a24,a25)) % 4.77/4.85 [60]~E(f18(a20,a25),a17) % 4.77/4.85 [61]~P2(x611,f18(a20,a25)) % 4.77/4.85 [62]P1(x621)+~E(x621,a17) % 4.77/4.85 [68]~P1(x681)+P6(x681,x681) % 4.77/4.85 [75]~P2(x751,a19)+P8(a1,x751) % 4.77/4.85 [81]P8(x811,x811)+~P2(x811,a19) % 4.77/4.85 [66]~P1(x661)+P3(f3(x661)) % 4.77/4.85 [70]~P2(x701,a19)+~E(f21(x701),a1) % 4.77/4.85 [71]~P2(x711,a19)+~E(f21(x711),x711) % 4.77/4.85 [73]~P2(x731,a19)+P4(f2(x731)) % 4.77/4.85 [82]~P2(x821,a19)+P2(f21(x821),a19) % 4.77/4.85 [83]~P2(x831,a19)+P8(x831,f21(x831)) % 4.77/4.85 [84]~P2(x841,a19)+P7(x841,f21(x841)) % 4.77/4.85 [92]~P2(x921,a19)+~P8(f21(x921),a1) % 4.77/4.85 [74]~P2(x741,a19)+E(f3(f2(x741)),x741) % 4.77/4.85 [69]~P2(x692,x691)+~E(x691,a17) % 4.77/4.85 [65]~P1(x651)+~P5(x651)+~E(x651,a17) % 4.77/4.85 [67]~P4(x671)+~P5(x671)+~P1(x671) % 4.77/4.85 [63]~P1(x631)+~E(x631,a17)+E(f3(x631),a1) % 4.77/4.85 [64]~P1(x641)+E(x641,a17)+~E(f3(x641),a1) % 4.77/4.85 [72]~P1(x721)+P2(f4(x721),x721)+E(x721,a17) % 4.77/4.85 [78]~P1(x781)+~P4(x781)+P2(f3(x781),a19) % 4.77/4.85 [85]~P2(x851,a19)+E(x851,a1)+P2(f7(x851),a19) % 4.77/4.85 [86]~P1(x861)+P4(x861)+~P2(f3(x861),a19) % 4.77/4.85 [91]~P4(x911)+~P6(x911,a19)+P2(f5(x911),a19) % 4.77/4.85 [76]~P2(x761,a19)+E(x761,a1)+E(f21(f7(x761)),x761) % 4.77/4.85 [101]~P4(x1011)+~P6(x1011,a19)+P6(x1011,f2(f5(x1011))) % 4.77/4.85 [79]~P6(x791,x792)+P1(x791)+~P1(x792) % 4.77/4.85 [80]~P2(x801,x802)+P3(x801)+~P1(x802) % 4.77/4.85 [77]P1(x771)+~P2(x772,a19)+~E(x771,f2(x772)) % 4.77/4.85 [115]~P1(x1151)+~P2(x1152,x1151)+E(f15(f16(x1151,x1152),x1152),x1151) % 4.77/4.85 [87]~P4(x872)+~P6(x871,x872)+P4(x871)+~P1(x872) % 4.77/4.85 [90]P2(x902,x901)+~E(x902,f22(x901))+~P6(x901,a19)+E(x901,a17) % 4.77/4.85 [94]~P1(x941)+~P3(x942)+~P4(x941)+P4(f15(x941,x942)) % 4.77/4.85 [95]~P1(x951)+~P3(x952)+~P4(x951)+P4(f16(x951,x952)) % 4.77/4.85 [96]~P1(x961)+~P3(x962)+~P5(x961)+P5(f15(x961,x962)) % 4.77/4.85 [97]~P1(x971)+~P3(x972)+~P5(x971)+P5(f16(x971,x972)) % 4.77/4.85 [98]~P1(x981)+P4(x981)+~P2(x982,a19)+~E(f18(x981,x982),a17) % 4.77/4.85 [100]E(x1001,x1002)+~E(f21(x1001),f21(x1002))+~P2(x1002,a19)+~P2(x1001,a19) % 4.77/4.85 [104]~P1(x1042)+~P4(x1042)+~P6(x1041,x1042)+P8(f3(x1041),f3(x1042)) % 4.77/4.85 [107]~P1(x1071)+~P4(x1071)+~P2(x1072,a19)+P4(f18(x1071,x1072)) % 4.77/4.85 [113]~P1(x1131)+~P1(x1132)+P6(x1131,x1132)+P2(f8(x1132,x1131),x1131) % 4.77/4.85 [119]P8(x1191,x1192)+P8(f21(x1192),x1191)+~P2(x1192,a19)+~P2(x1191,a19) % 4.77/4.85 [129]~P8(x1291,x1292)+~P2(x1292,a19)+~P2(x1291,a19)+P6(f2(x1291),f2(x1292)) % 4.77/4.85 [130]~P8(x1301,x1302)+~P2(x1302,a19)+~P2(x1301,a19)+P8(f21(x1301),f21(x1302)) % 4.77/4.85 [132]~P1(x1321)+~P1(x1322)+P6(x1321,x1322)+~P2(f8(x1322,x1321),x1322) % 4.77/4.85 [134]P8(x1341,x1342)+~P2(x1342,a19)+~P2(x1341,a19)+~P6(f2(x1341),f2(x1342)) % 4.77/4.85 [135]P8(x1351,x1352)+~P2(x1352,a19)+~P2(x1351,a19)+~P8(f21(x1351),f21(x1352)) % 4.77/4.85 [114]P2(x1142,x1141)+~P1(x1141)+~P3(x1142)+E(f16(f15(x1141,x1142),x1142),x1141) % 4.77/4.85 [121]~E(x1211,x1212)+~P2(x1212,a19)+~P2(x1211,a19)+P2(x1211,f2(f21(x1212))) % 4.77/4.85 [140]~P2(x1402,a19)+~P2(x1401,a19)+~P2(x1401,f2(x1402))+P2(x1401,f2(f21(x1402))) % 4.77/4.85 [139]~P1(x1391)+~P4(x1391)+~P2(x1392,x1391)+E(f21(f3(f16(x1391,x1392))),f3(x1391)) % 4.77/4.85 [111]~P1(x1112)+~P6(x1113,x1112)+P2(x1111,x1112)+~P2(x1111,x1113) % 4.77/4.85 [88]~P1(x882)+~P3(x883)+P1(x881)+~E(x881,f15(x882,x883)) % 4.77/4.85 [89]~P1(x892)+~P3(x893)+P1(x891)+~E(x891,f16(x892,x893)) % 4.77/4.85 [99]~P1(x992)+P1(x991)+~P2(x993,a19)+~E(x991,f18(x992,x993)) % 4.77/4.85 [105]~P2(x1051,x1052)+~P2(x1053,a19)+P2(x1051,a19)+~E(x1052,f2(x1053)) % 4.77/4.85 [116]~P2(x1161,x1163)+~P2(x1162,a19)+P8(f21(x1161),x1162)+~E(x1163,f2(x1162)) % 4.77/4.85 [102]~P1(x1022)+~P1(x1021)+~P6(x1022,x1021)+~P6(x1021,x1022)+E(x1021,x1022) % 4.77/4.85 [127]~P8(x1272,x1271)+~P8(x1271,x1272)+E(x1271,x1272)+~P2(x1272,a19)+~P2(x1271,a19) % 4.77/4.85 [93]~P4(x931)+P2(x932,x931)+~E(x932,f23(x931))+~P6(x931,a19)+E(x931,a17) % 4.77/4.85 [110]~P1(x1102)+~P5(x1102)+~P2(x1101,a19)+E(x1101,a1)+P5(f18(x1102,x1101)) % 4.77/4.85 [131]~P2(x1312,x1311)+P2(f11(x1311,x1312),x1311)+~P6(x1311,a19)+E(x1311,a17)+E(x1312,f22(x1311)) % 4.77/4.85 [141]~P1(x1411)+~P4(x1411)+~P2(x1412,a19)+~P8(x1412,f3(x1411))+P6(f12(x1411,x1412),x1411) % 4.77/4.85 [142]~P1(x1421)+P2(f14(x1422,x1421),x1421)+~P2(x1422,a19)+E(x1421,f2(x1422))+P2(f14(x1422,x1421),a19) % 4.77/4.85 [143]~P2(x1432,x1431)+~P6(x1431,a19)+~P8(x1432,f11(x1431,x1432))+E(x1431,a17)+E(x1432,f22(x1431)) % 4.77/4.85 [120]P2(x1202,x1201)+~P1(x1201)+~P3(x1202)+~P4(x1201)+E(f3(f15(x1201,x1202)),f21(f3(x1201))) % 4.77/4.86 [138]~P1(x1381)+~P4(x1381)+~P2(x1382,a19)+~P8(x1382,f3(x1381))+E(f3(f12(x1381,x1382)),x1382) % 4.77/4.86 [144]E(x1441,x1442)+P2(x1441,f2(x1442))+~P2(x1442,a19)+~P2(x1441,a19)+~P2(x1441,f2(f21(x1442))) % 4.77/4.86 [148]~P1(x1481)+P2(f14(x1482,x1481),x1481)+~P2(x1482,a19)+E(x1481,f2(x1482))+P8(f21(f14(x1482,x1481)),x1482) % 4.77/4.86 [112]~P2(x1123,x1121)+P8(x1122,x1123)+~E(x1122,f22(x1121))+~P6(x1121,a19)+E(x1121,a17) % 4.77/4.86 [133]P2(x1331,x1332)+~P2(x1333,a19)+~P2(x1331,a19)+~P8(f21(x1331),x1333)+~E(x1332,f2(x1333)) % 4.77/4.86 [106]~P1(x1064)+~P3(x1062)+~P2(x1061,x1063)+~E(x1061,x1062)+~E(x1063,f16(x1064,x1062)) % 4.77/4.86 [108]~P1(x1083)+~P3(x1084)+~P2(x1081,x1082)+P3(x1081)+~E(x1082,f15(x1083,x1084)) % 4.77/4.86 [109]~P1(x1093)+~P3(x1094)+~P2(x1091,x1092)+P3(x1091)+~E(x1092,f16(x1093,x1094)) % 4.77/4.86 [118]~P1(x1182)+~P3(x1184)+~P2(x1181,x1183)+P2(x1181,x1182)+~E(x1183,f16(x1182,x1184)) % 4.77/4.86 [123]~P1(x1234)+~P2(x1231,x1233)+~P2(x1232,a19)+E(f3(x1231),x1232)+~E(x1233,f18(x1234,x1232)) % 4.77/4.86 [128]~P1(x1282)+~P2(x1281,x1283)+P6(x1281,x1282)+~P2(x1284,a19)+~E(x1283,f18(x1282,x1284)) % 4.77/4.86 [137]~P4(x1371)+~P2(x1372,x1371)+P2(f13(x1371,x1372),x1371)+~P6(x1371,a19)+E(x1371,a17)+E(x1372,f23(x1371)) % 4.77/4.86 [146]~P4(x1461)+~P2(x1462,x1461)+~P6(x1461,a19)+~P8(f13(x1461,x1462),x1462)+E(x1461,a17)+E(x1462,f23(x1461)) % 4.77/4.86 [152]~P1(x1521)+~P2(x1522,a19)+~P2(f14(x1522,x1521),x1521)+E(x1521,f2(x1522))+~P2(f14(x1522,x1521),a19)+~P8(f21(f14(x1522,x1521)),x1522) % 4.77/4.86 [124]~P1(x1242)+~P1(x1241)+~P6(x1243,x1242)+~P6(x1241,x1243)+P6(x1241,x1242)+~P1(x1243) % 4.77/4.86 [147]~P8(x1471,x1473)+P8(x1471,x1472)+~P8(x1473,x1472)+~P2(x1472,a19)+~P2(x1473,a19)+~P2(x1471,a19) % 4.77/4.86 [117]~P4(x1171)+~P2(x1172,x1171)+P8(x1172,x1173)+~E(x1173,f23(x1171))+~P6(x1171,a19)+E(x1171,a17) % 4.77/4.86 [149]~P1(x1491)+~P1(x1492)+~P3(x1493)+P2(f9(x1492,x1493,x1491),x1491)+~E(f9(x1492,x1493,x1491),x1493)+E(x1491,f16(x1492,x1493)) % 4.77/4.86 [150]~P1(x1501)+~P1(x1502)+~P3(x1503)+P2(f10(x1502,x1503,x1501),x1501)+E(x1501,f15(x1502,x1503))+P3(f10(x1502,x1503,x1501)) % 4.77/4.86 [151]~P1(x1511)+~P1(x1512)+~P3(x1513)+P2(f9(x1512,x1513,x1511),x1511)+E(x1511,f16(x1512,x1513))+P3(f9(x1512,x1513,x1511)) % 4.77/4.86 [153]~P1(x1531)+~P1(x1532)+~P3(x1533)+P2(f9(x1532,x1533,x1531),x1531)+P2(f9(x1532,x1533,x1531),x1532)+E(x1531,f16(x1532,x1533)) % 4.77/4.86 [155]~P1(x1551)+~P1(x1552)+P2(f6(x1552,x1553,x1551),x1551)+P6(f6(x1552,x1553,x1551),x1552)+~P2(x1553,a19)+E(x1551,f18(x1552,x1553)) % 4.77/4.86 [154]~P1(x1541)+~P1(x1542)+P2(f6(x1542,x1543,x1541),x1541)+~P2(x1543,a19)+E(x1541,f18(x1542,x1543))+E(f3(f6(x1542,x1543,x1541)),x1543) % 4.77/4.86 [103]~P1(x1034)+~P3(x1033)+~P3(x1031)+P2(x1031,x1032)+~E(x1031,x1033)+~E(x1032,f15(x1034,x1033)) % 4.77/4.86 [122]~P1(x1223)+~P3(x1222)+~P2(x1221,x1224)+E(x1221,x1222)+P2(x1221,x1223)+~E(x1224,f15(x1223,x1222)) % 4.77/4.86 [125]~P1(x1253)+~P3(x1254)+~P3(x1251)+~P2(x1251,x1253)+P2(x1251,x1252)+~E(x1252,f15(x1253,x1254)) % 4.77/4.86 [136]~P1(x1364)+~P6(x1361,x1364)+P2(x1361,x1362)+~P2(x1363,a19)+~E(x1362,f18(x1364,x1363))+~E(f3(x1361),x1363) % 4.77/4.86 [145]E(f22(x1452),f22(x1451))+~P6(x1451,a19)+~P6(x1452,a19)+~P2(f22(x1451),x1452)+~P2(f22(x1452),x1451)+E(x1451,a17)+E(x1452,a17) % 4.77/4.86 [156]~P1(x1561)+~P1(x1562)+~P3(x1563)+E(f10(x1562,x1563,x1561),x1563)+P2(f10(x1562,x1563,x1561),x1561)+P2(f10(x1562,x1563,x1561),x1562)+E(x1561,f15(x1562,x1563)) % 4.77/4.86 [157]~P1(x1571)+~P1(x1572)+~P3(x1573)+~E(f10(x1572,x1573,x1571),x1573)+~P2(f10(x1572,x1573,x1571),x1571)+E(x1571,f15(x1572,x1573))+~P3(f10(x1572,x1573,x1571)) % 4.77/4.86 [158]~P1(x1581)+~P1(x1582)+~P3(x1583)+~P2(f10(x1582,x1583,x1581),x1581)+~P2(f10(x1582,x1583,x1581),x1582)+E(x1581,f15(x1582,x1583))+~P3(f10(x1582,x1583,x1581)) % 4.77/4.86 [159]~P1(x1591)+~P1(x1592)+~P2(x1593,a19)+~P2(f6(x1592,x1593,x1591),x1591)+~P6(f6(x1592,x1593,x1591),x1592)+E(x1591,f18(x1592,x1593))+~E(f3(f6(x1592,x1593,x1591)),x1593) % 4.77/4.86 [126]~P1(x1264)+~P3(x1262)+~P3(x1261)+~P2(x1261,x1264)+E(x1261,x1262)+P2(x1261,x1263)+~E(x1263,f16(x1264,x1262)) % 4.77/4.86 [160]~P1(x1601)+~P1(x1602)+~P3(x1603)+E(f9(x1602,x1603,x1601),x1603)+~P2(f9(x1602,x1603,x1601),x1601)+~P2(f9(x1602,x1603,x1601),x1602)+E(x1601,f16(x1602,x1603))+~P3(f9(x1602,x1603,x1601)) % 4.77/4.86 %EqnAxiom % 4.77/4.86 [1]E(x11,x11) % 4.77/4.86 [2]E(x22,x21)+~E(x21,x22) % 4.77/4.86 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 4.77/4.86 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 4.77/4.86 [5]~E(x51,x52)+E(f18(x51,x53),f18(x52,x53)) % 4.77/4.86 [6]~E(x61,x62)+E(f18(x63,x61),f18(x63,x62)) % 4.77/4.86 [7]~E(x71,x72)+E(f10(x71,x73,x74),f10(x72,x73,x74)) % 4.77/4.86 [8]~E(x81,x82)+E(f10(x83,x81,x84),f10(x83,x82,x84)) % 4.77/4.86 [9]~E(x91,x92)+E(f10(x93,x94,x91),f10(x93,x94,x92)) % 4.77/4.86 [10]~E(x101,x102)+E(f21(x101),f21(x102)) % 4.77/4.86 [11]~E(x111,x112)+E(f15(x111,x113),f15(x112,x113)) % 4.77/4.86 [12]~E(x121,x122)+E(f15(x123,x121),f15(x123,x122)) % 4.77/4.86 [13]~E(x131,x132)+E(f3(x131),f3(x132)) % 4.77/4.86 [14]~E(x141,x142)+E(f23(x141),f23(x142)) % 4.77/4.86 [15]~E(x151,x152)+E(f16(x151,x153),f16(x152,x153)) % 4.77/4.86 [16]~E(x161,x162)+E(f16(x163,x161),f16(x163,x162)) % 4.77/4.86 [17]~E(x171,x172)+E(f14(x171,x173),f14(x172,x173)) % 4.77/4.86 [18]~E(x181,x182)+E(f14(x183,x181),f14(x183,x182)) % 4.77/4.86 [19]~E(x191,x192)+E(f9(x191,x193,x194),f9(x192,x193,x194)) % 4.77/4.86 [20]~E(x201,x202)+E(f9(x203,x201,x204),f9(x203,x202,x204)) % 4.77/4.86 [21]~E(x211,x212)+E(f9(x213,x214,x211),f9(x213,x214,x212)) % 4.77/4.86 [22]~E(x221,x222)+E(f4(x221),f4(x222)) % 4.77/4.86 [23]~E(x231,x232)+E(f22(x231),f22(x232)) % 4.77/4.86 [24]~E(x241,x242)+E(f11(x241,x243),f11(x242,x243)) % 4.77/4.86 [25]~E(x251,x252)+E(f11(x253,x251),f11(x253,x252)) % 4.77/4.86 [26]~E(x261,x262)+E(f5(x261),f5(x262)) % 4.77/4.86 [27]~E(x271,x272)+E(f7(x271),f7(x272)) % 4.77/4.86 [28]~E(x281,x282)+E(f6(x281,x283,x284),f6(x282,x283,x284)) % 4.77/4.86 [29]~E(x291,x292)+E(f6(x293,x291,x294),f6(x293,x292,x294)) % 4.77/4.86 [30]~E(x301,x302)+E(f6(x303,x304,x301),f6(x303,x304,x302)) % 4.77/4.86 [31]~E(x311,x312)+E(f13(x311,x313),f13(x312,x313)) % 4.77/4.86 [32]~E(x321,x322)+E(f13(x323,x321),f13(x323,x322)) % 4.77/4.86 [33]~E(x331,x332)+E(f8(x331,x333),f8(x332,x333)) % 4.77/4.86 [34]~E(x341,x342)+E(f8(x343,x341),f8(x343,x342)) % 4.77/4.86 [35]~E(x351,x352)+E(f12(x351,x353),f12(x352,x353)) % 4.77/4.86 [36]~E(x361,x362)+E(f12(x363,x361),f12(x363,x362)) % 4.77/4.86 [37]~P1(x371)+P1(x372)+~E(x371,x372) % 4.77/4.86 [38]P2(x382,x383)+~E(x381,x382)+~P2(x381,x383) % 4.77/4.86 [39]P2(x393,x392)+~E(x391,x392)+~P2(x393,x391) % 4.77/4.86 [40]P6(x402,x403)+~E(x401,x402)+~P6(x401,x403) % 4.77/4.86 [41]P6(x413,x412)+~E(x411,x412)+~P6(x413,x411) % 4.77/4.86 [42]~P4(x421)+P4(x422)+~E(x421,x422) % 4.77/4.86 [43]~P5(x431)+P5(x432)+~E(x431,x432) % 4.77/4.86 [44]P8(x442,x443)+~E(x441,x442)+~P8(x441,x443) % 4.77/4.86 [45]P8(x453,x452)+~E(x451,x452)+~P8(x453,x451) % 4.77/4.86 [46]~P3(x461)+P3(x462)+~E(x461,x462) % 4.77/4.86 [47]P7(x472,x473)+~E(x471,x472)+~P7(x471,x473) % 4.77/4.86 [48]P7(x483,x482)+~E(x481,x482)+~P7(x483,x481) % 4.77/4.86 % 4.77/4.86 %------------------------------------------- % 4.77/4.86 cnf(165,plain, % 4.77/4.86 (P1(f2(x1651))+~P2(x1651,a19)), % 4.77/4.86 inference(equality_inference,[],[77])). % 4.77/4.86 cnf(170,plain, % 4.77/4.86 (~P1(x1701)+P1(f18(x1701,x1702))+~P2(x1702,a19)), % 4.77/4.86 inference(equality_inference,[],[99])). % 4.77/4.86 cnf(197,plain, % 4.77/4.86 (~P1(f18(a20,a25))), % 4.77/4.86 inference(scs_inference,[],[61,55,56,60,49,62,69,81,165,2,72])). % 4.77/4.86 cnf(1022,plain, % 4.77/4.86 ($false), % 4.77/4.86 inference(scs_inference,[],[51,197,56,170]), % 4.77/4.86 ['proof']). % 4.77/4.86 % SZS output end Proof % 4.77/4.86 % Total time :4.220000s %------------------------------------------------------------------------------