%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : NUM610+1 : TPTP v8.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n001.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 12:25:23 EDT 2024 % Result : Theorem 0.72s 0.75s % Output : CNFRefutation 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : NUM610+1 : TPTP v8.2.0. Released v4.0.0. % 0.10/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n001.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Sat Jun 22 23:52:54 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.57 start to proof:theBenchmark % 0.54/0.72 %------------------------------------------- % 0.54/0.72 % File :CSE---1.7 % 0.54/0.72 % Problem :theBenchmark % 0.54/0.72 % Transform :cnf % 0.54/0.72 % Format :tptp:raw % 0.54/0.72 % Command :java -jar mcs_scs.jar %d %s % 0.54/0.72 % 0.54/0.72 % Result :Theorem 0.040000s % 0.54/0.72 % Output :CNFRefutation 0.040000s % 0.54/0.72 %------------------------------------------- % 0.54/0.72 %------------------------------------------------------------------------------ % 0.54/0.72 % File : NUM610+1 : TPTP v8.2.0. Released v4.0.0. % 0.54/0.72 % Domain : Number Theory % 0.54/0.72 % Problem : Ramsey's Infinite Theorem 15_02_23_06, 00 expansion % 0.54/0.72 % Version : Especial. % 0.54/0.72 % English : % 0.54/0.72 % 0.54/0.72 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction % 0.54/0.72 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe % 0.54/0.72 % Source : [Pas08] % 0.54/0.72 % Names : ramsey_15_02_23_06.00 [Pas08] % 0.54/0.72 % 0.54/0.72 % Status : Theorem % 0.54/0.72 % Rating : 0.17 v8.2.0, 0.19 v8.1.0, 0.11 v7.5.0, 0.12 v7.4.0, 0.10 v7.3.0, 0.07 v7.1.0, 0.13 v6.4.0, 0.15 v6.3.0, 0.12 v6.2.0, 0.16 v6.1.0, 0.20 v6.0.0, 0.17 v5.5.0, 0.22 v5.4.0, 0.29 v5.3.0, 0.37 v5.2.0, 0.20 v5.1.0, 0.29 v5.0.0, 0.38 v4.1.0, 0.48 v4.0.1, 0.78 v4.0.0 % 0.54/0.72 % Syntax : Number of formulae : 108 ( 16 unt; 11 def) % 0.54/0.72 % Number of atoms : 398 ( 71 equ) % 0.54/0.72 % Maximal formula atoms : 12 ( 3 avg) % 0.54/0.72 % Number of connectives : 315 ( 25 ~; 4 |; 129 &) % 0.54/0.72 % ( 22 <=>; 135 =>; 0 <=; 0 <~>) % 0.54/0.72 % Maximal formula depth : 15 ( 5 avg) % 0.54/0.72 % Maximal term depth : 5 ( 1 avg) % 0.54/0.72 % Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty) % 0.54/0.72 % Number of functors : 30 ( 30 usr; 16 con; 0-2 aty) % 0.54/0.72 % Number of variables : 171 ( 159 !; 12 ?) % 0.54/0.72 % SPC : FOF_THM_RFO_SEQ % 0.54/0.72 % 0.54/0.72 % Comments : Problem generated by the SAD system [VLP07] % 0.54/0.72 %------------------------------------------------------------------------------ % 0.54/0.72 fof(mSetSort,axiom, % 0.54/0.72 ! [W0] : % 0.54/0.72 ( aSet0(W0) % 0.54/0.72 => $true ) ). % 0.54/0.72 % 0.54/0.72 fof(mElmSort,axiom, % 0.54/0.72 ! [W0] : % 0.54/0.72 ( aElement0(W0) % 0.54/0.72 => $true ) ). % 0.54/0.72 % 0.54/0.72 fof(mEOfElem,axiom, % 0.54/0.72 ! [W0] : % 0.54/0.72 ( aSet0(W0) % 0.54/0.72 => ! [W1] : % 0.54/0.72 ( aElementOf0(W1,W0) % 0.54/0.72 => aElement0(W1) ) ) ). % 0.54/0.72 % 0.54/0.72 fof(mFinRel,axiom, % 0.54/0.72 ! [W0] : % 0.54/0.72 ( aSet0(W0) % 0.54/0.72 => ( isFinite0(W0) % 0.54/0.72 => $true ) ) ). % 0.54/0.72 % 0.54/0.72 fof(mDefEmp,definition, % 0.54/0.72 ! [W0] : % 0.54/0.72 ( W0 = slcrc0 % 0.54/0.72 <=> ( aSet0(W0) % 0.54/0.72 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ). % 0.54/0.72 % 0.54/0.72 fof(mEmpFin,axiom, % 0.54/0.72 isFinite0(slcrc0) ). % 0.54/0.72 % 0.54/0.72 fof(mCntRel,axiom, % 0.54/0.72 ! [W0] : % 0.54/0.72 ( aSet0(W0) % 0.54/0.72 => ( isCountable0(W0) % 0.54/0.72 => $true ) ) ). % 0.54/0.72 % 0.54/0.72 fof(mCountNFin,axiom, % 0.54/0.72 ! [W0] : % 0.54/0.72 ( ( aSet0(W0) % 0.54/0.72 & isCountable0(W0) ) % 0.54/0.72 => ~ isFinite0(W0) ) ). % 0.54/0.72 % 0.54/0.72 fof(mCountNFin_01,axiom, % 0.54/0.72 ! [W0] : % 0.54/0.72 ( ( aSet0(W0) % 0.54/0.72 & isCountable0(W0) ) % 0.54/0.72 => W0 != slcrc0 ) ). % 0.54/0.72 % 0.54/0.72 fof(mDefSub,definition, % 0.54/0.72 ! [W0] : % 0.54/0.72 ( aSet0(W0) % 0.54/0.72 => ! [W1] : % 0.54/0.72 ( aSubsetOf0(W1,W0) % 0.54/0.72 <=> ( aSet0(W1) % 0.54/0.72 & ! [W2] : % 0.54/0.72 ( aElementOf0(W2,W1) % 0.54/0.72 => aElementOf0(W2,W0) ) ) ) ) ). % 0.54/0.72 % 0.54/0.72 fof(mSubFSet,axiom, % 0.54/0.72 ! [W0] : % 0.54/0.72 ( ( aSet0(W0) % 0.54/0.72 & isFinite0(W0) ) % 0.54/0.72 => ! [W1] : % 0.54/0.72 ( aSubsetOf0(W1,W0) % 0.54/0.72 => isFinite0(W1) ) ) ). % 0.54/0.72 % 0.54/0.72 fof(mSubRefl,axiom, % 0.54/0.72 ! [W0] : % 0.54/0.72 ( aSet0(W0) % 0.54/0.72 => aSubsetOf0(W0,W0) ) ). % 0.54/0.72 % 0.54/0.72 fof(mSubASymm,axiom, % 0.54/0.72 ! [W0,W1] : % 0.54/0.72 ( ( aSet0(W0) % 0.54/0.73 & aSet0(W1) ) % 0.54/0.73 => ( ( aSubsetOf0(W0,W1) % 0.54/0.73 & aSubsetOf0(W1,W0) ) % 0.54/0.73 => W0 = W1 ) ) ). % 0.54/0.73 % 0.54/0.73 fof(mSubTrans,axiom, % 0.54/0.73 ! [W0,W1,W2] : % 0.54/0.73 ( ( aSet0(W0) % 0.54/0.73 & aSet0(W1) % 0.54/0.73 & aSet0(W2) ) % 0.54/0.73 => ( ( aSubsetOf0(W0,W1) % 0.54/0.73 & aSubsetOf0(W1,W2) ) % 0.54/0.73 => aSubsetOf0(W0,W2) ) ) ). % 0.54/0.73 % 0.54/0.73 fof(mDefCons,definition, % 0.54/0.73 ! [W0,W1] : % 0.54/0.73 ( ( aSet0(W0) % 0.54/0.73 & aElement0(W1) ) % 0.54/0.73 => ! [W2] : % 0.54/0.73 ( W2 = sdtpldt0(W0,W1) % 0.54/0.73 <=> ( aSet0(W2) % 0.54/0.73 & ! [W3] : % 0.54/0.73 ( aElementOf0(W3,W2) % 0.54/0.73 <=> ( aElement0(W3) % 0.54/0.73 & ( aElementOf0(W3,W0) % 0.54/0.73 | W3 = W1 ) ) ) ) ) ) ). % 0.54/0.73 % 0.54/0.73 fof(mDefDiff,definition, % 0.54/0.73 ! [W0,W1] : % 0.54/0.73 ( ( aSet0(W0) % 0.54/0.73 & aElement0(W1) ) % 0.54/0.73 => ! [W2] : % 0.54/0.73 ( W2 = sdtmndt0(W0,W1) % 0.54/0.73 <=> ( aSet0(W2) % 0.54/0.73 & ! [W3] : % 0.54/0.73 ( aElementOf0(W3,W2) % 0.54/0.73 <=> ( aElement0(W3) % 0.54/0.73 & aElementOf0(W3,W0) % 0.54/0.73 & W3 != W1 ) ) ) ) ) ). % 0.54/0.73 % 0.54/0.73 fof(mConsDiff,axiom, % 0.54/0.73 ! [W0] : % 0.54/0.73 ( aSet0(W0) % 0.54/0.73 => ! [W1] : % 0.54/0.73 ( aElementOf0(W1,W0) % 0.54/0.73 => sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ) ). % 0.54/0.73 % 0.54/0.73 fof(mDiffCons,axiom, % 0.54/0.73 ! [W0,W1] : % 0.54/0.73 ( ( aElement0(W0) % 0.54/0.73 & aSet0(W1) ) % 0.54/0.73 => ( ~ aElementOf0(W0,W1) % 0.54/0.73 => sdtmndt0(sdtpldt0(W1,W0),W0) = W1 ) ) ). % 0.54/0.73 % 0.54/0.73 fof(mCConsSet,axiom, % 0.54/0.73 ! [W0] : % 0.54/0.73 ( aElement0(W0) % 0.54/0.73 => ! [W1] : % 0.54/0.73 ( ( aSet0(W1) % 0.54/0.73 & isCountable0(W1) ) % 0.54/0.73 => isCountable0(sdtpldt0(W1,W0)) ) ) ). % 0.54/0.73 % 0.54/0.73 fof(mCDiffSet,axiom, % 0.54/0.73 ! [W0] : % 0.54/0.73 ( aElement0(W0) % 0.54/0.73 => ! [W1] : % 0.54/0.73 ( ( aSet0(W1) % 0.54/0.73 & isCountable0(W1) ) % 0.54/0.73 => isCountable0(sdtmndt0(W1,W0)) ) ) ). % 0.54/0.73 % 0.54/0.73 fof(mFConsSet,axiom, % 0.54/0.73 ! [W0] : % 0.54/0.73 ( aElement0(W0) % 0.54/0.73 => ! [W1] : % 0.54/0.73 ( ( aSet0(W1) % 0.54/0.73 & isFinite0(W1) ) % 0.54/0.73 => isFinite0(sdtpldt0(W1,W0)) ) ) ). % 0.54/0.73 % 0.54/0.73 fof(mFDiffSet,axiom, % 0.54/0.73 ! [W0] : % 0.54/0.73 ( aElement0(W0) % 0.54/0.73 => ! [W1] : % 0.54/0.73 ( ( aSet0(W1) % 0.54/0.73 & isFinite0(W1) ) % 0.54/0.73 => isFinite0(sdtmndt0(W1,W0)) ) ) ). % 0.54/0.73 % 0.54/0.73 fof(mNATSet,axiom, % 0.54/0.73 ( aSet0(szNzAzT0) % 0.54/0.73 & isCountable0(szNzAzT0) ) ). % 0.54/0.73 % 0.54/0.73 fof(mZeroNum,axiom, % 0.54/0.73 aElementOf0(sz00,szNzAzT0) ). % 0.54/0.73 % 0.54/0.73 fof(mSuccNum,axiom, % 0.54/0.73 ! [W0] : % 0.54/0.73 ( aElementOf0(W0,szNzAzT0) % 0.54/0.73 => ( aElementOf0(szszuzczcdt0(W0),szNzAzT0) % 0.54/0.73 & szszuzczcdt0(W0) != sz00 ) ) ). % 0.54/0.73 % 0.54/0.73 fof(mSuccEquSucc,axiom, % 0.54/0.73 ! [W0,W1] : % 0.54/0.73 ( ( aElementOf0(W0,szNzAzT0) % 0.54/0.73 & aElementOf0(W1,szNzAzT0) ) % 0.54/0.73 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1) % 0.54/0.73 => W0 = W1 ) ) ). % 0.54/0.73 % 0.54/0.73 fof(mNatExtra,axiom, % 0.54/0.73 ! [W0] : % 0.54/0.73 ( aElementOf0(W0,szNzAzT0) % 0.54/0.73 => ( W0 = sz00 % 0.54/0.73 | ? [W1] : % 0.54/0.73 ( aElementOf0(W1,szNzAzT0) % 0.54/0.73 & W0 = szszuzczcdt0(W1) ) ) ) ). % 0.54/0.73 % 0.54/0.73 fof(mNatNSucc,axiom, % 0.54/0.73 ! [W0] : % 0.54/0.73 ( aElementOf0(W0,szNzAzT0) % 0.54/0.73 => W0 != szszuzczcdt0(W0) ) ). % 0.54/0.73 % 0.54/0.73 fof(mLessRel,axiom, % 0.54/0.73 ! [W0,W1] : % 0.54/0.73 ( ( aElementOf0(W0,szNzAzT0) % 0.54/0.73 & aElementOf0(W1,szNzAzT0) ) % 0.54/0.73 => ( sdtlseqdt0(W0,W1) % 0.54/0.73 => $true ) ) ). % 0.54/0.73 % 0.54/0.73 fof(mZeroLess,axiom, % 0.54/0.73 ! [W0] : % 0.54/0.73 ( aElementOf0(W0,szNzAzT0) % 0.54/0.73 => sdtlseqdt0(sz00,W0) ) ). % 0.54/0.73 % 0.54/0.73 fof(mNoScLessZr,axiom, % 0.54/0.73 ! [W0] : % 0.54/0.73 ( aElementOf0(W0,szNzAzT0) % 0.54/0.73 => ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) ). % 0.54/0.73 % 0.54/0.73 fof(mSuccLess,axiom, % 0.54/0.73 ! [W0,W1] : % 0.54/0.73 ( ( aElementOf0(W0,szNzAzT0) % 0.54/0.73 & aElementOf0(W1,szNzAzT0) ) % 0.54/0.73 => ( sdtlseqdt0(W0,W1) % 0.54/0.73 <=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ) ). % 0.54/0.73 % 0.54/0.73 fof(mLessSucc,axiom, % 0.54/0.73 ! [W0] : % 0.54/0.73 ( aElementOf0(W0,szNzAzT0) % 0.54/0.73 => sdtlseqdt0(W0,szszuzczcdt0(W0)) ) ). % 0.54/0.73 % 0.54/0.73 fof(mLessRefl,axiom, % 0.54/0.73 ! [W0] : % 0.54/0.73 ( aElementOf0(W0,szNzAzT0) % 0.54/0.73 => sdtlseqdt0(W0,W0) ) ). % 0.54/0.73 % 0.54/0.73 fof(mLessASymm,axiom, % 0.54/0.73 ! [W0,W1] : % 0.54/0.73 ( ( aElementOf0(W0,szNzAzT0) % 0.54/0.73 & aElementOf0(W1,szNzAzT0) ) % 0.54/0.73 => ( ( sdtlseqdt0(W0,W1) % 0.54/0.73 & sdtlseqdt0(W1,W0) ) % 0.54/0.73 => W0 = W1 ) ) ). % 0.72/0.73 % 0.72/0.73 fof(mLessTrans,axiom, % 0.72/0.73 ! [W0,W1,W2] : % 0.72/0.73 ( ( aElementOf0(W0,szNzAzT0) % 0.72/0.73 & aElementOf0(W1,szNzAzT0) % 0.72/0.73 & aElementOf0(W2,szNzAzT0) ) % 0.72/0.73 => ( ( sdtlseqdt0(W0,W1) % 0.72/0.73 & sdtlseqdt0(W1,W2) ) % 0.72/0.73 => sdtlseqdt0(W0,W2) ) ) ). % 0.72/0.73 % 0.72/0.73 fof(mLessTotal,axiom, % 0.72/0.73 ! [W0,W1] : % 0.72/0.73 ( ( aElementOf0(W0,szNzAzT0) % 0.72/0.73 & aElementOf0(W1,szNzAzT0) ) % 0.72/0.73 => ( sdtlseqdt0(W0,W1) % 0.72/0.73 | sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ). % 0.72/0.73 % 0.72/0.73 fof(mIHSort,axiom, % 0.72/0.73 ! [W0,W1] : % 0.72/0.73 ( ( aElementOf0(W0,szNzAzT0) % 0.72/0.73 & aElementOf0(W1,szNzAzT0) ) % 0.72/0.73 => ( iLess0(W0,W1) % 0.72/0.73 => $true ) ) ). % 0.72/0.73 % 0.72/0.73 fof(mIH,axiom, % 0.72/0.73 ! [W0] : % 0.72/0.73 ( aElementOf0(W0,szNzAzT0) % 0.72/0.73 => iLess0(W0,szszuzczcdt0(W0)) ) ). % 0.72/0.73 % 0.72/0.73 fof(mCardS,axiom, % 0.72/0.73 ! [W0] : % 0.72/0.73 ( aSet0(W0) % 0.72/0.73 => aElement0(sbrdtbr0(W0)) ) ). % 0.72/0.73 % 0.72/0.73 fof(mCardNum,axiom, % 0.72/0.73 ! [W0] : % 0.72/0.73 ( aSet0(W0) % 0.72/0.73 => ( aElementOf0(sbrdtbr0(W0),szNzAzT0) % 0.72/0.73 <=> isFinite0(W0) ) ) ). % 0.72/0.73 % 0.72/0.73 fof(mCardEmpty,axiom, % 0.72/0.73 ! [W0] : % 0.72/0.73 ( aSet0(W0) % 0.72/0.73 => ( sbrdtbr0(W0) = sz00 % 0.72/0.73 <=> W0 = slcrc0 ) ) ). % 0.72/0.73 % 0.72/0.73 fof(mCardCons,axiom, % 0.72/0.73 ! [W0] : % 0.72/0.73 ( ( aSet0(W0) % 0.72/0.73 & isFinite0(W0) ) % 0.72/0.73 => ! [W1] : % 0.72/0.73 ( aElement0(W1) % 0.72/0.73 => ( ~ aElementOf0(W1,W0) % 0.72/0.73 => sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ). % 0.72/0.73 % 0.72/0.73 fof(mCardDiff,axiom, % 0.72/0.73 ! [W0] : % 0.72/0.73 ( aSet0(W0) % 0.72/0.73 => ! [W1] : % 0.72/0.73 ( ( isFinite0(W0) % 0.72/0.73 & aElementOf0(W1,W0) ) % 0.72/0.73 => szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ) ). % 0.72/0.73 % 0.72/0.73 fof(mCardSub,axiom, % 0.72/0.73 ! [W0] : % 0.72/0.73 ( aSet0(W0) % 0.72/0.73 => ! [W1] : % 0.72/0.73 ( ( isFinite0(W0) % 0.72/0.73 & aSubsetOf0(W1,W0) ) % 0.72/0.73 => sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ) ). % 0.72/0.73 % 0.72/0.73 fof(mCardSubEx,axiom, % 0.72/0.73 ! [W0,W1] : % 0.72/0.73 ( ( aSet0(W0) % 0.72/0.73 & aElementOf0(W1,szNzAzT0) ) % 0.72/0.73 => ( ( isFinite0(W0) % 0.72/0.73 & sdtlseqdt0(W1,sbrdtbr0(W0)) ) % 0.72/0.73 => ? [W2] : % 0.72/0.73 ( aSubsetOf0(W2,W0) % 0.72/0.73 & sbrdtbr0(W2) = W1 ) ) ) ). % 0.72/0.73 % 0.72/0.73 fof(mDefMin,definition, % 0.72/0.73 ! [W0] : % 0.72/0.73 ( ( aSubsetOf0(W0,szNzAzT0) % 0.72/0.73 & W0 != slcrc0 ) % 0.72/0.73 => ! [W1] : % 0.72/0.73 ( W1 = szmzizndt0(W0) % 0.72/0.73 <=> ( aElementOf0(W1,W0) % 0.72/0.73 & ! [W2] : % 0.72/0.73 ( aElementOf0(W2,W0) % 0.72/0.73 => sdtlseqdt0(W1,W2) ) ) ) ) ). % 0.72/0.73 % 0.72/0.73 fof(mDefMax,definition, % 0.72/0.73 ! [W0] : % 0.72/0.73 ( ( aSubsetOf0(W0,szNzAzT0) % 0.72/0.74 & isFinite0(W0) % 0.72/0.74 & W0 != slcrc0 ) % 0.72/0.74 => ! [W1] : % 0.72/0.74 ( W1 = szmzazxdt0(W0) % 0.72/0.74 <=> ( aElementOf0(W1,W0) % 0.72/0.74 & ! [W2] : % 0.72/0.74 ( aElementOf0(W2,W0) % 0.72/0.74 => sdtlseqdt0(W2,W1) ) ) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(mMinMin,axiom, % 0.72/0.74 ! [W0,W1] : % 0.72/0.74 ( ( aSubsetOf0(W0,szNzAzT0) % 0.72/0.74 & aSubsetOf0(W1,szNzAzT0) % 0.72/0.74 & W0 != slcrc0 % 0.72/0.74 & W1 != slcrc0 ) % 0.72/0.74 => ( ( aElementOf0(szmzizndt0(W0),W1) % 0.72/0.74 & aElementOf0(szmzizndt0(W1),W0) ) % 0.72/0.74 => szmzizndt0(W0) = szmzizndt0(W1) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(mDefSeg,definition, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( aElementOf0(W0,szNzAzT0) % 0.72/0.74 => ! [W1] : % 0.72/0.74 ( W1 = slbdtrb0(W0) % 0.72/0.74 <=> ( aSet0(W1) % 0.72/0.74 & ! [W2] : % 0.72/0.74 ( aElementOf0(W2,W1) % 0.72/0.74 <=> ( aElementOf0(W2,szNzAzT0) % 0.72/0.74 & sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(mSegFin,axiom, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( aElementOf0(W0,szNzAzT0) % 0.72/0.74 => isFinite0(slbdtrb0(W0)) ) ). % 0.72/0.74 % 0.72/0.74 fof(mSegZero,axiom, % 0.72/0.74 slbdtrb0(sz00) = slcrc0 ). % 0.72/0.74 % 0.72/0.74 fof(mSegSucc,axiom, % 0.72/0.74 ! [W0,W1] : % 0.72/0.74 ( ( aElementOf0(W0,szNzAzT0) % 0.72/0.74 & aElementOf0(W1,szNzAzT0) ) % 0.72/0.74 => ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1))) % 0.72/0.74 <=> ( aElementOf0(W0,slbdtrb0(W1)) % 0.72/0.74 | W0 = W1 ) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(mSegLess,axiom, % 0.72/0.74 ! [W0,W1] : % 0.72/0.74 ( ( aElementOf0(W0,szNzAzT0) % 0.72/0.74 & aElementOf0(W1,szNzAzT0) ) % 0.72/0.74 => ( sdtlseqdt0(W0,W1) % 0.72/0.74 <=> aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(mFinSubSeg,axiom, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( ( aSubsetOf0(W0,szNzAzT0) % 0.72/0.74 & isFinite0(W0) ) % 0.72/0.74 => ? [W1] : % 0.72/0.74 ( aElementOf0(W1,szNzAzT0) % 0.72/0.74 & aSubsetOf0(W0,slbdtrb0(W1)) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(mCardSeg,axiom, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( aElementOf0(W0,szNzAzT0) % 0.72/0.74 => sbrdtbr0(slbdtrb0(W0)) = W0 ) ). % 0.72/0.74 % 0.72/0.74 fof(mDefSel,definition, % 0.72/0.74 ! [W0,W1] : % 0.72/0.74 ( ( aSet0(W0) % 0.72/0.74 & aElementOf0(W1,szNzAzT0) ) % 0.72/0.74 => ! [W2] : % 0.72/0.74 ( W2 = slbdtsldtrb0(W0,W1) % 0.72/0.74 <=> ( aSet0(W2) % 0.72/0.74 & ! [W3] : % 0.72/0.74 ( aElementOf0(W3,W2) % 0.72/0.74 <=> ( aSubsetOf0(W3,W0) % 0.72/0.74 & sbrdtbr0(W3) = W1 ) ) ) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(mSelFSet,axiom, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( ( aSet0(W0) % 0.72/0.74 & isFinite0(W0) ) % 0.72/0.74 => ! [W1] : % 0.72/0.74 ( aElementOf0(W1,szNzAzT0) % 0.72/0.74 => isFinite0(slbdtsldtrb0(W0,W1)) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(mSelNSet,axiom, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( ( aSet0(W0) % 0.72/0.74 & ~ isFinite0(W0) ) % 0.72/0.74 => ! [W1] : % 0.72/0.74 ( aElementOf0(W1,szNzAzT0) % 0.72/0.74 => slbdtsldtrb0(W0,W1) != slcrc0 ) ) ). % 0.72/0.74 % 0.72/0.74 fof(mSelCSet,axiom, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( ( aSet0(W0) % 0.72/0.74 & isCountable0(W0) ) % 0.72/0.74 => ! [W1] : % 0.72/0.74 ( ( aElementOf0(W1,szNzAzT0) % 0.72/0.74 & W1 != sz00 ) % 0.72/0.74 => isCountable0(slbdtsldtrb0(W0,W1)) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(mSelSub,axiom, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( aElementOf0(W0,szNzAzT0) % 0.72/0.74 => ! [W1,W2] : % 0.72/0.74 ( ( aSet0(W1) % 0.72/0.74 & aSet0(W2) % 0.72/0.74 & W0 != sz00 ) % 0.72/0.74 => ( ( aSubsetOf0(slbdtsldtrb0(W1,W0),slbdtsldtrb0(W2,W0)) % 0.72/0.74 & slbdtsldtrb0(W1,W0) != slcrc0 ) % 0.72/0.74 => aSubsetOf0(W1,W2) ) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(mSelExtra,axiom, % 0.72/0.74 ! [W0,W1] : % 0.72/0.74 ( ( aSet0(W0) % 0.72/0.74 & aElementOf0(W1,szNzAzT0) ) % 0.72/0.74 => ! [W2] : % 0.72/0.74 ( ( aSubsetOf0(W2,slbdtsldtrb0(W0,W1)) % 0.72/0.74 & isFinite0(W2) ) % 0.72/0.74 => ? [W3] : % 0.72/0.74 ( aSubsetOf0(W3,W0) % 0.72/0.74 & isFinite0(W3) % 0.72/0.74 & aSubsetOf0(W2,slbdtsldtrb0(W3,W1)) ) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(mFunSort,axiom, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( aFunction0(W0) % 0.72/0.74 => $true ) ). % 0.72/0.74 % 0.72/0.74 fof(mDomSet,axiom, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( aFunction0(W0) % 0.72/0.74 => aSet0(szDzozmdt0(W0)) ) ). % 0.72/0.74 % 0.72/0.74 fof(mImgElm,axiom, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( aFunction0(W0) % 0.72/0.74 => ! [W1] : % 0.72/0.74 ( aElementOf0(W1,szDzozmdt0(W0)) % 0.72/0.74 => aElement0(sdtlpdtrp0(W0,W1)) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(mDefPtt,definition, % 0.72/0.74 ! [W0,W1] : % 0.72/0.74 ( ( aFunction0(W0) % 0.72/0.74 & aElement0(W1) ) % 0.72/0.74 => ! [W2] : % 0.72/0.74 ( W2 = sdtlbdtrb0(W0,W1) % 0.72/0.74 <=> ( aSet0(W2) % 0.72/0.74 & ! [W3] : % 0.72/0.74 ( aElementOf0(W3,W2) % 0.72/0.74 <=> ( aElementOf0(W3,szDzozmdt0(W0)) % 0.72/0.74 & sdtlpdtrp0(W0,W3) = W1 ) ) ) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(mPttSet,axiom, % 0.72/0.74 ! [W0,W1] : % 0.72/0.74 ( ( aFunction0(W0) % 0.72/0.74 & aElement0(W1) ) % 0.72/0.74 => aSubsetOf0(sdtlbdtrb0(W0,W1),szDzozmdt0(W0)) ) ). % 0.72/0.74 % 0.72/0.74 fof(mDefSImg,definition, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( aFunction0(W0) % 0.72/0.74 => ! [W1] : % 0.72/0.74 ( aSubsetOf0(W1,szDzozmdt0(W0)) % 0.72/0.74 => ! [W2] : % 0.72/0.74 ( W2 = sdtlcdtrc0(W0,W1) % 0.72/0.74 <=> ( aSet0(W2) % 0.72/0.74 & ! [W3] : % 0.72/0.74 ( aElementOf0(W3,W2) % 0.72/0.74 <=> ? [W4] : % 0.72/0.74 ( aElementOf0(W4,W1) % 0.72/0.74 & sdtlpdtrp0(W0,W4) = W3 ) ) ) ) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(mImgRng,axiom, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( aFunction0(W0) % 0.72/0.74 => ! [W1] : % 0.72/0.74 ( aElementOf0(W1,szDzozmdt0(W0)) % 0.72/0.74 => aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(mDefRst,definition, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( aFunction0(W0) % 0.72/0.74 => ! [W1] : % 0.72/0.74 ( aSubsetOf0(W1,szDzozmdt0(W0)) % 0.72/0.74 => ! [W2] : % 0.72/0.74 ( W2 = sdtexdt0(W0,W1) % 0.72/0.74 <=> ( aFunction0(W2) % 0.72/0.74 & szDzozmdt0(W2) = W1 % 0.72/0.74 & ! [W3] : % 0.72/0.74 ( aElementOf0(W3,W1) % 0.72/0.74 => sdtlpdtrp0(W2,W3) = sdtlpdtrp0(W0,W3) ) ) ) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(mImgCount,axiom, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( aFunction0(W0) % 0.72/0.74 => ! [W1] : % 0.72/0.74 ( ( aSubsetOf0(W1,szDzozmdt0(W0)) % 0.72/0.74 & isCountable0(W1) ) % 0.72/0.74 => ( ! [W2,W3] : % 0.72/0.74 ( ( aElementOf0(W2,szDzozmdt0(W0)) % 0.72/0.74 & aElementOf0(W3,szDzozmdt0(W0)) % 0.72/0.74 & W2 != W3 ) % 0.72/0.74 => sdtlpdtrp0(W0,W2) != sdtlpdtrp0(W0,W3) ) % 0.72/0.74 => isCountable0(sdtlcdtrc0(W0,W1)) ) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(mDirichlet,axiom, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( aFunction0(W0) % 0.72/0.74 => ( ( isCountable0(szDzozmdt0(W0)) % 0.72/0.74 & isFinite0(sdtlcdtrc0(W0,szDzozmdt0(W0))) ) % 0.72/0.74 => ( aElement0(szDzizrdt0(W0)) % 0.72/0.74 & isCountable0(sdtlbdtrb0(W0,szDzizrdt0(W0))) ) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(m__3291,hypothesis, % 0.72/0.74 ( aSet0(xT) % 0.72/0.74 & isFinite0(xT) ) ). % 0.72/0.74 % 0.72/0.74 fof(m__3418,hypothesis, % 0.72/0.74 aElementOf0(xK,szNzAzT0) ). % 0.72/0.74 % 0.72/0.74 fof(m__3435,hypothesis, % 0.72/0.74 ( aSubsetOf0(xS,szNzAzT0) % 0.72/0.74 & isCountable0(xS) ) ). % 0.72/0.74 % 0.72/0.74 fof(m__3453,hypothesis, % 0.72/0.74 ( aFunction0(xc) % 0.72/0.74 & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) % 0.72/0.74 & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ). % 0.72/0.74 % 0.72/0.74 fof(m__3398,hypothesis, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( aElementOf0(W0,szNzAzT0) % 0.72/0.74 => ! [W1] : % 0.72/0.74 ( ( aSubsetOf0(W1,szNzAzT0) % 0.72/0.74 & isCountable0(W1) ) % 0.72/0.74 => ! [W2] : % 0.72/0.74 ( ( aFunction0(W2) % 0.72/0.74 & szDzozmdt0(W2) = slbdtsldtrb0(W1,W0) % 0.72/0.74 & aSubsetOf0(sdtlcdtrc0(W2,szDzozmdt0(W2)),xT) ) % 0.72/0.74 => ( iLess0(W0,xK) % 0.72/0.74 => ? [W3] : % 0.72/0.74 ( aElementOf0(W3,xT) % 0.72/0.74 & ? [W4] : % 0.72/0.74 ( aSubsetOf0(W4,W1) % 0.72/0.74 & isCountable0(W4) % 0.72/0.74 & ! [W5] : % 0.72/0.74 ( aElementOf0(W5,slbdtsldtrb0(W4,W0)) % 0.72/0.74 => sdtlpdtrp0(W2,W5) = W3 ) ) ) ) ) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(m__3462,hypothesis, % 0.72/0.74 xK != sz00 ). % 0.72/0.74 % 0.72/0.74 fof(m__3520,hypothesis, % 0.72/0.74 xK != sz00 ). % 0.72/0.74 % 0.72/0.74 fof(m__3533,hypothesis, % 0.72/0.74 ( aElementOf0(xk,szNzAzT0) % 0.72/0.74 & szszuzczcdt0(xk) = xK ) ). % 0.72/0.74 % 0.72/0.74 fof(m__3623,hypothesis, % 0.72/0.74 ( aFunction0(xN) % 0.72/0.74 & szDzozmdt0(xN) = szNzAzT0 % 0.72/0.74 & sdtlpdtrp0(xN,sz00) = xS % 0.72/0.74 & ! [W0] : % 0.72/0.74 ( aElementOf0(W0,szNzAzT0) % 0.72/0.74 => ( ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0) % 0.72/0.74 & isCountable0(sdtlpdtrp0(xN,W0)) ) % 0.72/0.74 => ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) % 0.72/0.74 & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(m__3671,hypothesis, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( aElementOf0(W0,szNzAzT0) % 0.72/0.74 => ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0) % 0.72/0.74 & isCountable0(sdtlpdtrp0(xN,W0)) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(m__3754,hypothesis, % 0.72/0.74 ! [W0,W1] : % 0.72/0.74 ( ( aElementOf0(W0,szNzAzT0) % 0.72/0.74 & aElementOf0(W1,szNzAzT0) ) % 0.72/0.74 => ( sdtlseqdt0(W1,W0) % 0.72/0.74 => aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(m__3821,hypothesis, % 0.72/0.74 ! [W0,W1] : % 0.72/0.74 ( ( aElementOf0(W0,szNzAzT0) % 0.72/0.74 & aElementOf0(W1,szNzAzT0) % 0.72/0.74 & W0 != W1 ) % 0.72/0.74 => szmzizndt0(sdtlpdtrp0(xN,W0)) != szmzizndt0(sdtlpdtrp0(xN,W1)) ) ). % 0.72/0.74 % 0.72/0.74 fof(m__3965,hypothesis, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( aElementOf0(W0,szNzAzT0) % 0.72/0.74 => ! [W1] : % 0.72/0.74 ( ( aSet0(W1) % 0.72/0.74 & aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) ) % 0.72/0.74 => aElementOf0(sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))),slbdtsldtrb0(xS,xK)) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(m__4151,hypothesis, % 0.72/0.74 ( aFunction0(xC) % 0.72/0.74 & szDzozmdt0(xC) = szNzAzT0 % 0.72/0.74 & ! [W0] : % 0.72/0.74 ( aElementOf0(W0,szNzAzT0) % 0.72/0.74 => ( aFunction0(sdtlpdtrp0(xC,W0)) % 0.72/0.74 & szDzozmdt0(sdtlpdtrp0(xC,W0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk) % 0.72/0.74 & ! [W1] : % 0.72/0.74 ( ( aSet0(W1) % 0.72/0.74 & aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) ) % 0.72/0.74 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) = sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(m__4182,hypothesis, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( aElementOf0(W0,szNzAzT0) % 0.72/0.74 => aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,W0),szDzozmdt0(sdtlpdtrp0(xC,W0))),xT) ) ). % 0.72/0.74 % 0.72/0.74 fof(m__4331,hypothesis, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( aElementOf0(W0,szNzAzT0) % 0.72/0.74 => ! [W1] : % 0.72/0.74 ( ( aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) % 0.72/0.74 & isCountable0(W1) ) % 0.72/0.74 => ! [W2] : % 0.72/0.74 ( ( aSet0(W2) % 0.72/0.74 & aElementOf0(W2,slbdtsldtrb0(W1,xk)) ) % 0.72/0.74 => aElementOf0(W2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) ) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(m__4411,hypothesis, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( aElementOf0(W0,szNzAzT0) % 0.72/0.74 => ? [W1] : % 0.72/0.74 ( aElementOf0(W1,xT) % 0.72/0.74 & ? [W2] : % 0.72/0.74 ( aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) % 0.72/0.74 & isCountable0(W2) % 0.72/0.74 & ! [W3] : % 0.72/0.74 ( ( aSet0(W3) % 0.72/0.74 & aElementOf0(W3,slbdtsldtrb0(W2,xk)) ) % 0.72/0.74 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W3) = W1 ) ) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(m__4618,hypothesis, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( aElementOf0(W0,szNzAzT0) % 0.72/0.74 => ? [W1] : % 0.72/0.74 ( aElementOf0(W1,xT) % 0.72/0.74 & ! [W2] : % 0.72/0.74 ( ( aSet0(W2) % 0.72/0.74 & aElementOf0(W2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) ) % 0.72/0.74 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W2) = W1 ) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(m__4660,hypothesis, % 0.72/0.74 ( aFunction0(xe) % 0.72/0.74 & szDzozmdt0(xe) = szNzAzT0 % 0.72/0.74 & ! [W0] : % 0.72/0.74 ( aElementOf0(W0,szNzAzT0) % 0.72/0.74 => sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(m__4730,hypothesis, % 0.72/0.74 ( aFunction0(xd) % 0.72/0.74 & szDzozmdt0(xd) = szNzAzT0 % 0.72/0.74 & ! [W0] : % 0.72/0.74 ( aElementOf0(W0,szNzAzT0) % 0.72/0.74 => ! [W1] : % 0.72/0.74 ( ( aSet0(W1) % 0.72/0.74 & aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) ) % 0.72/0.74 => sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) ) ) ) ). % 0.72/0.74 % 0.72/0.74 fof(m__4758,hypothesis, % 0.72/0.74 aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ). % 0.72/0.74 % 0.72/0.74 fof(m__4854,hypothesis, % 0.72/0.74 ( aElementOf0(szDzizrdt0(xd),xT) % 0.72/0.74 & isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ). % 0.72/0.74 % 0.72/0.74 fof(m__4891,hypothesis, % 0.72/0.74 ( aSet0(xO) % 0.72/0.74 & xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ). % 0.72/0.74 % 0.72/0.74 fof(m__4908,hypothesis, % 0.72/0.74 ( aSet0(xO) % 0.72/0.74 & isCountable0(xO) ) ). % 0.72/0.74 % 0.72/0.74 fof(m__4982,hypothesis, % 0.72/0.74 ! [W0] : % 0.72/0.74 ( aElementOf0(W0,xO) % 0.72/0.74 => ? [W1] : % 0.72/0.74 ( aElementOf0(W1,szNzAzT0) % 0.72/0.74 & aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd))) % 0.72/0.74 & sdtlpdtrp0(xe,W1) = W0 ) ) ). % 0.72/0.74 % 0.72/0.74 fof(m__4998,hypothesis, % 0.72/0.74 aSubsetOf0(xO,xS) ). % 0.72/0.74 % 0.72/0.74 fof(m__5078,hypothesis, % 0.72/0.74 aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ). % 0.72/0.74 % 0.72/0.74 fof(m__5093,hypothesis, % 0.72/0.74 ( aSubsetOf0(xQ,xO) % 0.72/0.74 & xQ != slcrc0 ) ). % 0.72/0.74 % 0.72/0.74 fof(m__5106,hypothesis, % 0.72/0.74 aSubsetOf0(xQ,szNzAzT0) ). % 0.72/0.74 % 0.72/0.74 fof(m__5116,hypothesis, % 0.72/0.74 aElementOf0(xQ,szDzozmdt0(xc)) ). % 0.72/0.74 % 0.72/0.75 fof(m__5147,hypothesis, % 0.72/0.75 xp = szmzizndt0(xQ) ). % 0.72/0.75 % 0.72/0.75 fof(m__5164,hypothesis, % 0.72/0.75 ( aSet0(xP) % 0.72/0.75 & xP = sdtmndt0(xQ,szmzizndt0(xQ)) ) ). % 0.72/0.75 % 0.72/0.75 fof(m__5173,hypothesis, % 0.72/0.75 aElementOf0(xp,xQ) ). % 0.72/0.75 % 0.72/0.75 fof(m__5182,hypothesis, % 0.72/0.75 aElementOf0(xp,xO) ). % 0.72/0.75 % 0.72/0.75 fof(m__5195,hypothesis, % 0.72/0.75 aSubsetOf0(xP,xQ) ). % 0.72/0.75 % 0.72/0.75 fof(m__,conjecture, % 0.72/0.75 aSubsetOf0(xP,xO) ). % 0.72/0.75 % 0.72/0.75 %------------------------------------------------------------------------------ % 0.72/0.75 %------------------------------------------- % 0.72/0.75 % Proof found % 0.72/0.75 % SZS status Theorem for theBenchmark % 0.72/0.75 % SZS output start Proof % 0.72/0.75 %ClaNum:297(EqnAxiom:92) % 0.72/0.75 %VarNum:1229(SingletonVarNum:358) % 0.72/0.75 %MaxLitNum:9 % 0.72/0.75 %MaxfuncDepth:4 % 0.72/0.75 %SharedTerms:77 % 0.72/0.75 %goalClause: 138 % 0.72/0.75 %singleGoalClaCount:1 % 0.72/0.75 [100]P1(a41) % 0.72/0.75 [101]P1(a53) % 0.72/0.75 [103]P1(a47) % 0.72/0.75 [104]P1(a48) % 0.72/0.75 [105]P5(a37) % 0.72/0.75 [106]P5(a53) % 0.72/0.75 [107]P6(a41) % 0.72/0.75 [108]P6(a54) % 0.72/0.75 [109]P6(a47) % 0.72/0.75 [110]P2(a55) % 0.72/0.75 [111]P2(a46) % 0.72/0.75 [112]P2(a45) % 0.72/0.75 [113]P2(a51) % 0.72/0.75 [114]P2(a52) % 0.72/0.75 [116]P3(a3,a41) % 0.72/0.75 [117]P3(a44,a41) % 0.72/0.75 [118]P3(a50,a41) % 0.72/0.75 [119]P3(a49,a47) % 0.72/0.75 [120]P3(a49,a1) % 0.72/0.75 [121]P7(a54,a41) % 0.72/0.75 [122]P7(a47,a54) % 0.72/0.75 [123]P7(a1,a41) % 0.72/0.75 [124]P7(a1,a47) % 0.72/0.75 [125]P7(a48,a1) % 0.72/0.75 [136]~E(a3,a44) % 0.72/0.75 [137]~E(a37,a1) % 0.72/0.75 [138]~P7(a48,a47) % 0.72/0.75 [93]E(f2(a1),a49) % 0.72/0.75 [94]E(f43(a50),a44) % 0.72/0.75 [95]E(f4(a3),a37) % 0.72/0.75 [96]E(f39(a46),a41) % 0.72/0.75 [97]E(f39(a45),a41) % 0.72/0.75 [98]E(f39(a51),a41) % 0.72/0.75 [99]E(f39(a52),a41) % 0.72/0.75 [115]E(f5(a46,a3),a54) % 0.72/0.75 [126]E(f38(a54,a44),f39(a55)) % 0.72/0.75 [128]P3(a1,f39(a55)) % 0.72/0.75 [129]P3(f40(a52),a53) % 0.72/0.75 [130]P3(a1,f38(a47,a44)) % 0.72/0.75 [127]E(f35(a1,f2(a1)),a48) % 0.72/0.75 [131]P6(f6(a52,f40(a52))) % 0.72/0.75 [133]P7(f34(a55,f39(a55)),a53) % 0.72/0.75 [134]P7(f34(a52,f39(a52)),a53) % 0.72/0.75 [132]E(f34(a51,f6(a52,f40(a52))),a47) % 0.72/0.75 [139]P1(x1391)+~E(x1391,a37) % 0.72/0.75 [146]~P1(x1461)+P7(x1461,x1461) % 0.72/0.75 [154]~P3(x1541,a41)+P9(a3,x1541) % 0.72/0.75 [160]P9(x1601,x1601)+~P3(x1601,a41) % 0.72/0.75 [143]~P2(x1431)+P1(f39(x1431)) % 0.72/0.75 [144]~P1(x1441)+P4(f7(x1441)) % 0.72/0.75 [148]~P3(x1481,a41)+~E(f43(x1481),a3) % 0.72/0.75 [149]~P3(x1491,a41)+~E(f43(x1491),x1491) % 0.72/0.75 [151]~P3(x1511,a41)+P5(f4(x1511)) % 0.72/0.75 [152]~P3(x1521,a41)+P6(f19(x1521)) % 0.72/0.75 [161]~P3(x1611,a41)+P3(f43(x1611),a41) % 0.72/0.75 [162]~P3(x1621,a41)+P3(f20(x1621),a53) % 0.72/0.75 [163]~P3(x1631,a41)+P3(f24(x1631),a53) % 0.72/0.75 [164]~P3(x1641,a47)+P3(f25(x1641),a41) % 0.72/0.75 [166]~P3(x1661,a41)+P9(x1661,f43(x1661)) % 0.72/0.75 [167]~P3(x1671,a41)+P8(x1671,f43(x1671)) % 0.72/0.75 [176]~P3(x1761,a41)+P6(f5(a46,x1761)) % 0.72/0.75 [177]~P3(x1771,a41)+P2(f5(a45,x1771)) % 0.72/0.75 [178]~P3(x1781,a41)+~P9(f43(x1781),a3) % 0.72/0.75 [186]~P3(x1861,a41)+P7(f5(a46,x1861),a41) % 0.72/0.75 [153]~P3(x1531,a41)+E(f7(f4(x1531)),x1531) % 0.72/0.75 [165]~P3(x1651,a47)+E(f5(a51,f25(x1651)),x1651) % 0.72/0.75 [188]~P3(x1881,a41)+E(f2(f5(a46,x1881)),f5(a51,x1881)) % 0.72/0.75 [206]~P3(x2061,a47)+P3(f25(x2061),f6(a52,f40(a52))) % 0.72/0.75 [261]~P3(x2611,a41)+P7(f34(f5(a45,x2611),f39(f5(a45,x2611))),a53) % 0.72/0.75 [263]~P3(x2631,a41)+P7(f19(x2631),f35(f5(a46,x2631),f2(f5(a46,x2631)))) % 0.72/0.75 [265]~P3(x2651,a41)+E(f38(f35(f5(a46,x2651),f2(f5(a46,x2651))),a50),f39(f5(a45,x2651))) % 0.72/0.75 [147]~P3(x1472,x1471)+~E(x1471,a37) % 0.72/0.75 [142]~P1(x1421)+~P6(x1421)+~E(x1421,a37) % 0.72/0.75 [145]~P5(x1451)+~P6(x1451)+~P1(x1451) % 0.72/0.75 [140]~P1(x1401)+~E(x1401,a37)+E(f7(x1401),a3) % 0.72/0.75 [141]~P1(x1411)+E(x1411,a37)+~E(f7(x1411),a3) % 0.72/0.75 [150]~P1(x1501)+P3(f8(x1501),x1501)+E(x1501,a37) % 0.72/0.75 [157]~P1(x1571)+~P5(x1571)+P3(f7(x1571),a41) % 0.72/0.75 [168]~P3(x1681,a41)+E(x1681,a3)+P3(f23(x1681),a41) % 0.72/0.75 [169]~P1(x1691)+P5(x1691)+~P3(f7(x1691),a41) % 0.72/0.75 [175]~P5(x1751)+~P7(x1751,a41)+P3(f9(x1751),a41) % 0.72/0.75 [155]~P3(x1551,a41)+E(x1551,a3)+E(f43(f23(x1551)),x1551) % 0.72/0.75 [189]~P5(x1891)+~P7(x1891,a41)+P7(x1891,f4(f9(x1891))) % 0.72/0.75 [158]~P7(x1581,x1582)+P1(x1581)+~P1(x1582) % 0.72/0.75 [159]~P3(x1591,x1592)+P4(x1591)+~P1(x1592) % 0.72/0.75 [156]P1(x1561)+~P3(x1562,a41)+~E(x1561,f4(x1562)) % 0.72/0.75 [190]~P4(x1902)+~P2(x1901)+P7(f6(x1901,x1902),f39(x1901)) % 0.72/0.75 [207]~P2(x2071)+~P3(x2072,f39(x2071))+P4(f5(x2071,x2072)) % 0.72/0.75 [209]~P1(x2091)+~P3(x2092,x2091)+E(f36(f35(x2091,x2092),x2092),x2091) % 0.72/0.75 [245]~P2(x2451)+~P3(x2452,f39(x2451))+P3(f5(x2451,x2452),f34(x2451,f39(x2451))) % 0.72/0.75 [235]~P2(x2351)+~P6(f39(x2351))+P4(f40(x2351))+~P5(f34(x2351,f39(x2351))) % 0.72/0.75 [254]~P2(x2541)+~P6(f39(x2541))+~P5(f34(x2541,f39(x2541)))+P6(f6(x2541,f40(x2541))) % 0.72/0.75 [258]~P3(x2581,a41)+~P7(f5(a46,x2581),a41)+~P6(f5(a46,x2581))+P6(f5(a46,f43(x2581))) % 0.72/0.75 [282]~P3(x2821,a41)+~P7(f5(a46,x2821),a41)+~P6(f5(a46,x2821))+P7(f5(a46,f43(x2821)),f35(f5(a46,x2821),f2(f5(a46,x2821)))) % 0.72/0.75 [170]~P5(x1702)+~P7(x1701,x1702)+P5(x1701)+~P1(x1702) % 0.72/0.75 [174]P3(x1742,x1741)+~E(x1742,f2(x1741))+~P7(x1741,a41)+E(x1741,a37) % 0.72/0.75 [180]~P1(x1801)+~P4(x1802)+~P5(x1801)+P5(f36(x1801,x1802)) % 0.72/0.75 [181]~P1(x1811)+~P4(x1812)+~P5(x1811)+P5(f35(x1811,x1812)) % 0.72/0.75 [182]~P1(x1821)+~P4(x1822)+~P6(x1821)+P6(f36(x1821,x1822)) % 0.72/0.75 [183]~P1(x1831)+~P4(x1832)+~P6(x1831)+P6(f35(x1831,x1832)) % 0.72/0.75 [184]~P1(x1841)+P5(x1841)+~P3(x1842,a41)+~E(f38(x1841,x1842),a37) % 0.72/0.75 [187]E(x1871,x1872)+~E(f43(x1871),f43(x1872))+~P3(x1872,a41)+~P3(x1871,a41) % 0.72/0.75 [193]~P1(x1932)+~P5(x1932)+~P7(x1931,x1932)+P9(f7(x1931),f7(x1932)) % 0.72/0.75 [196]~P1(x1961)+~P5(x1961)+~P3(x1962,a41)+P5(f38(x1961,x1962)) % 0.72/0.75 [205]~P1(x2051)+~P1(x2052)+P7(x2051,x2052)+P3(f26(x2052,x2051),x2051) % 0.72/0.75 [213]P9(x2131,x2132)+P9(f43(x2132),x2131)+~P3(x2132,a41)+~P3(x2131,a41) % 0.72/0.75 [225]~P9(x2251,x2252)+~P3(x2252,a41)+~P3(x2251,a41)+P7(f4(x2251),f4(x2252)) % 0.72/0.75 [226]~P9(x2261,x2262)+~P3(x2262,a41)+~P3(x2261,a41)+P9(f43(x2261),f43(x2262)) % 0.72/0.75 [228]~P1(x2281)+~P1(x2282)+P7(x2281,x2282)+~P3(f26(x2282,x2281),x2282) % 0.72/0.75 [230]P9(x2301,x2302)+~P3(x2302,a41)+~P3(x2301,a41)+~P7(f4(x2301),f4(x2302)) % 0.72/0.75 [231]P9(x2311,x2312)+~P3(x2312,a41)+~P3(x2311,a41)+~P9(f43(x2311),f43(x2312)) % 0.72/0.75 [249]~P9(x2492,x2491)+~P3(x2492,a41)+~P3(x2491,a41)+P7(f5(a46,x2491),f5(a46,x2492)) % 0.72/0.75 [208]P3(x2082,x2081)+~P1(x2081)+~P4(x2082)+E(f35(f36(x2081,x2082),x2082),x2081) % 0.72/0.75 [216]~E(x2161,x2162)+~P3(x2162,a41)+~P3(x2161,a41)+P3(x2161,f4(f43(x2162))) % 0.72/0.75 [237]~P3(x2372,a41)+~P3(x2371,a41)+~P3(x2371,f4(x2372))+P3(x2371,f4(f43(x2372))) % 0.72/0.75 [253]E(x2531,x2532)+~P3(x2532,a41)+~P3(x2531,a41)+~E(f2(f5(a46,x2531)),f2(f5(a46,x2532))) % 0.72/0.75 [256]~P1(x2562)+~P3(x2561,a41)+E(f5(f5(a45,x2561),x2562),f20(x2561))+~P3(x2562,f38(f19(x2561),a50)) % 0.72/0.75 [236]~P1(x2361)+~P5(x2361)+~P3(x2362,x2361)+E(f43(f7(f35(x2361,x2362))),f7(x2361)) % 0.72/0.75 [266]~P1(x2662)+~P3(x2661,a41)+E(f5(f5(a45,x2661),x2662),f24(x2661))+~P3(x2662,f38(f5(a46,f43(x2661)),a50)) % 0.72/0.75 [268]~P1(x2682)+~P3(x2681,a41)+E(f5(f5(a45,x2681),x2682),f5(a52,x2681))+~P3(x2682,f38(f5(a46,f43(x2681)),a50)) % 0.72/0.75 [296]~P1(x2961)+~P3(x2962,a41)+P3(f36(x2961,f2(f5(a46,x2962))),f38(a54,a44))+~P3(x2961,f38(f35(f5(a46,x2962),f2(f5(a46,x2962))),a50)) % 0.72/0.75 [297]~P1(x2971)+~P3(x2972,a41)+~P3(x2971,f38(f35(f5(a46,x2972),f2(f5(a46,x2972))),a50))+E(f5(a55,f36(x2971,f2(f5(a46,x2972)))),f5(f5(a45,x2972),x2971)) % 0.72/0.75 [200]~P1(x2002)+~P7(x2003,x2002)+P3(x2001,x2002)+~P3(x2001,x2003) % 0.72/0.75 [171]~P1(x1712)+~P4(x1713)+P1(x1711)+~E(x1711,f36(x1712,x1713)) % 0.72/0.75 [172]~P1(x1722)+~P4(x1723)+P1(x1721)+~E(x1721,f35(x1722,x1723)) % 0.72/0.75 [173]~P4(x1733)+~P2(x1732)+P1(x1731)+~E(x1731,f6(x1732,x1733)) % 0.72/0.75 [185]~P1(x1852)+P1(x1851)+~P3(x1853,a41)+~E(x1851,f38(x1852,x1853)) % 0.72/0.75 [194]~P3(x1941,x1942)+~P3(x1943,a41)+P3(x1941,a41)+~E(x1942,f4(x1943)) % 0.72/0.75 [202]~P2(x2022)+P1(x2021)+~P7(x2023,f39(x2022))+~E(x2021,f34(x2022,x2023)) % 0.72/0.75 [203]~P2(x2032)+P2(x2031)+~P7(x2033,f39(x2032))+~E(x2031,f33(x2032,x2033)) % 0.72/0.75 [204]~P2(x2043)+~P7(x2042,f39(x2043))+E(f39(x2041),x2042)+~E(x2041,f33(x2043,x2042)) % 0.72/0.75 [210]~P3(x2101,x2103)+~P3(x2102,a41)+P9(f43(x2101),x2102)+~E(x2103,f4(x2102)) % 0.72/0.75 [191]~P1(x1912)+~P1(x1911)+~P7(x1912,x1911)+~P7(x1911,x1912)+E(x1911,x1912) % 0.72/0.75 [223]~P9(x2232,x2231)+~P9(x2231,x2232)+E(x2231,x2232)+~P3(x2232,a41)+~P3(x2231,a41) % 0.72/0.75 [179]~P5(x1791)+P3(x1792,x1791)+~E(x1792,f42(x1791))+~P7(x1791,a41)+E(x1791,a37) % 0.72/0.75 [199]~P1(x1992)+~P6(x1992)+~P3(x1991,a41)+E(x1991,a3)+P6(f38(x1992,x1991)) % 0.72/0.75 [227]~P3(x2272,x2271)+P3(f29(x2271,x2272),x2271)+~P7(x2271,a41)+E(x2271,a37)+E(x2272,f2(x2271)) % 0.72/0.75 [238]~P1(x2381)+~P5(x2381)+~P3(x2382,a41)+~P9(x2382,f7(x2381))+P7(f30(x2381,x2382),x2381) % 0.72/0.75 [240]~P1(x2401)+P3(f32(x2402,x2401),x2401)+~P3(x2402,a41)+E(x2401,f4(x2402))+P3(f32(x2402,x2401),a41) % 0.72/0.75 [241]~P3(x2412,x2411)+~P7(x2411,a41)+~P9(x2412,f29(x2411,x2412))+E(x2411,a37)+E(x2412,f2(x2411)) % 0.72/0.75 [248]~P6(x2482)+~P2(x2481)+~E(f10(x2481,x2482),f11(x2481,x2482))+~P7(x2482,f39(x2481))+P6(f34(x2481,x2482)) % 0.72/0.75 [250]~P6(x2502)+~P2(x2501)+P3(f11(x2501,x2502),f39(x2501))+~P7(x2502,f39(x2501))+P6(f34(x2501,x2502)) % 0.72/0.75 [251]~P6(x2512)+~P2(x2511)+P3(f10(x2511,x2512),f39(x2511))+~P7(x2512,f39(x2511))+P6(f34(x2511,x2512)) % 0.72/0.75 [215]P3(x2152,x2151)+~P1(x2151)+~P4(x2152)+~P5(x2151)+E(f7(f36(x2151,x2152)),f43(f7(x2151))) % 0.72/0.75 [234]~P1(x2341)+~P5(x2341)+~P3(x2342,a41)+~P9(x2342,f7(x2341))+E(f7(f30(x2341,x2342)),x2342) % 0.72/0.75 [243]E(x2431,x2432)+P3(x2431,f4(x2432))+~P3(x2432,a41)+~P3(x2431,a41)+~P3(x2431,f4(f43(x2432))) % 0.72/0.75 [255]~P1(x2551)+P3(f32(x2552,x2551),x2551)+~P3(x2552,a41)+E(x2551,f4(x2552))+P9(f43(f32(x2552,x2551)),x2552) % 0.72/0.75 [257]~P6(x2572)+~P2(x2571)+~P7(x2572,f39(x2571))+P6(f34(x2571,x2572))+E(f5(x2571,f10(x2571,x2572)),f5(x2571,f11(x2571,x2572))) % 0.72/0.75 [201]~P3(x2013,x2011)+P9(x2012,x2013)+~E(x2012,f2(x2011))+~P7(x2011,a41)+E(x2011,a37) % 0.72/0.75 [229]P3(x2291,x2292)+~P3(x2293,a41)+~P3(x2291,a41)+~P9(f43(x2291),x2293)+~E(x2292,f4(x2293)) % 0.72/0.75 [262]~P1(x2621)+~P5(x2623)+~P3(x2622,a41)+~P7(x2623,f38(x2621,x2622))+P5(f13(x2621,x2622,x2623)) % 0.72/0.75 [264]~P1(x2641)+~P5(x2643)+~P3(x2642,a41)+~P7(x2643,f38(x2641,x2642))+P7(f13(x2641,x2642,x2643),x2641) % 0.72/0.75 [283]~P1(x2832)+~P5(x2831)+~P3(x2833,a41)+~P7(x2831,f38(x2832,x2833))+P7(x2831,f38(f13(x2832,x2833,x2831),x2833)) % 0.72/0.75 [195]~P1(x1954)+~P4(x1952)+~P3(x1951,x1953)+~E(x1951,x1952)+~E(x1953,f35(x1954,x1952)) % 0.72/0.75 [197]~P1(x1973)+~P4(x1974)+~P3(x1971,x1972)+P4(x1971)+~E(x1972,f36(x1973,x1974)) % 0.72/0.75 [198]~P1(x1983)+~P4(x1984)+~P3(x1981,x1982)+P4(x1981)+~E(x1982,f35(x1983,x1984)) % 0.72/0.75 [212]~P1(x2122)+~P4(x2124)+~P3(x2121,x2123)+P3(x2121,x2122)+~E(x2123,f35(x2122,x2124)) % 0.72/0.75 [214]~P4(x2143)+~P2(x2141)+~P3(x2142,x2144)+E(f5(x2141,x2142),x2143)+~E(x2144,f6(x2141,x2143)) % 0.72/0.75 [218]~P1(x2184)+~P3(x2181,x2183)+~P3(x2182,a41)+E(f7(x2181),x2182)+~E(x2183,f38(x2184,x2182)) % 0.72/0.75 [220]~P4(x2204)+~P2(x2202)+~P3(x2201,x2203)+P3(x2201,f39(x2202))+~E(x2203,f6(x2202,x2204)) % 0.72/0.75 [224]~P1(x2242)+~P3(x2241,x2243)+P7(x2241,x2242)+~P3(x2244,a41)+~E(x2243,f38(x2242,x2244)) % 0.72/0.75 [242]~P2(x2423)+~P3(x2422,x2424)+~P7(x2424,f39(x2423))+E(f5(x2421,x2422),f5(x2423,x2422))+~E(x2421,f33(x2423,x2424)) % 0.72/0.75 [289]~P2(x2891)+~P3(x2894,x2893)+~E(x2893,f34(x2891,x2892))+~P7(x2892,f39(x2891))+P3(f17(x2891,x2892,x2893,x2894),x2892) % 0.72/0.75 [290]~P2(x2901)+~P3(x2904,x2903)+~E(x2903,f34(x2901,x2902))+~P7(x2902,f39(x2901))+E(f5(x2901,f17(x2901,x2902,x2903,x2904)),x2904) % 0.72/0.75 [233]~P5(x2331)+~P3(x2332,x2331)+P3(f31(x2331,x2332),x2331)+~P7(x2331,a41)+E(x2331,a37)+E(x2332,f42(x2331)) % 0.72/0.75 [246]~P5(x2461)+~P3(x2462,x2461)+~P7(x2461,a41)+~P9(f31(x2461,x2462),x2462)+E(x2461,a37)+E(x2462,f42(x2461)) % 0.72/0.75 [271]~P1(x2711)+~P3(x2712,a41)+~P3(f32(x2712,x2711),x2711)+E(x2711,f4(x2712))+~P3(f32(x2712,x2711),a41)+~P9(f43(f32(x2712,x2711)),x2712) % 0.72/0.75 [219]~P1(x2192)+~P1(x2191)+~P7(x2193,x2192)+~P7(x2191,x2193)+P7(x2191,x2192)+~P1(x2193) % 0.72/0.75 [247]~P9(x2471,x2473)+P9(x2471,x2472)+~P9(x2473,x2472)+~P3(x2472,a41)+~P3(x2473,a41)+~P3(x2471,a41) % 0.72/0.75 [211]~P5(x2111)+~P3(x2112,x2111)+P9(x2112,x2113)+~E(x2113,f42(x2111))+~P7(x2111,a41)+E(x2111,a37) % 0.72/0.75 [260]~P2(x2601)+~P2(x2602)+P3(f12(x2602,x2603,x2601),x2603)+~E(f39(x2601),x2603)+~P7(x2603,f39(x2602))+E(x2601,f33(x2602,x2603)) % 0.72/0.75 [267]~P1(x2671)+~P1(x2672)+~P4(x2673)+P3(f27(x2672,x2673,x2671),x2671)+~E(f27(x2672,x2673,x2671),x2673)+E(x2671,f35(x2672,x2673)) % 0.72/0.75 [269]~P1(x2691)+~P1(x2692)+~P4(x2693)+P3(f28(x2692,x2693,x2691),x2691)+E(x2691,f36(x2692,x2693))+P4(f28(x2692,x2693,x2691)) % 0.72/0.75 [270]~P1(x2701)+~P1(x2702)+~P4(x2703)+P3(f27(x2702,x2703,x2701),x2701)+E(x2701,f35(x2702,x2703))+P4(f27(x2702,x2703,x2701)) % 0.72/0.75 [272]~P1(x2721)+~P1(x2722)+~P4(x2723)+P3(f27(x2722,x2723,x2721),x2721)+P3(f27(x2722,x2723,x2721),x2722)+E(x2721,f35(x2722,x2723)) % 0.72/0.75 [275]~P1(x2751)+~P4(x2753)+~P2(x2752)+P3(f15(x2752,x2753,x2751),x2751)+P3(f15(x2752,x2753,x2751),f39(x2752))+E(x2751,f6(x2752,x2753)) % 0.72/0.75 [276]~P1(x2761)+~P1(x2762)+P3(f14(x2762,x2763,x2761),x2761)+P7(f14(x2762,x2763,x2761),x2762)+~P3(x2763,a41)+E(x2761,f38(x2762,x2763)) % 0.72/0.75 [279]~P1(x2791)+~P2(x2792)+P3(f16(x2792,x2793,x2791),x2791)+P3(f18(x2792,x2793,x2791),x2793)+~P7(x2793,f39(x2792))+E(x2791,f34(x2792,x2793)) % 0.72/0.75 [273]~P1(x2731)+~P4(x2733)+~P2(x2732)+P3(f15(x2732,x2733,x2731),x2731)+E(x2731,f6(x2732,x2733))+E(f5(x2732,f15(x2732,x2733,x2731)),x2733) % 0.72/0.75 [274]~P1(x2741)+~P1(x2742)+P3(f14(x2742,x2743,x2741),x2741)+~P3(x2743,a41)+E(x2741,f38(x2742,x2743))+E(f7(f14(x2742,x2743,x2741)),x2743) % 0.72/0.75 [284]~P1(x2841)+~P2(x2842)+P3(f16(x2842,x2843,x2841),x2841)+~P7(x2843,f39(x2842))+E(x2841,f34(x2842,x2843))+E(f5(x2842,f18(x2842,x2843,x2841)),f16(x2842,x2843,x2841)) % 0.72/0.75 [286]~P2(x2862)+~P2(x2861)+~E(f39(x2861),x2863)+~P7(x2863,f39(x2862))+E(x2861,f33(x2862,x2863))+~E(f5(x2861,f12(x2862,x2863,x2861)),f5(x2862,f12(x2862,x2863,x2861))) % 0.72/0.75 [295]~P1(x2951)+~P6(x2953)+~P3(x2952,a41)+~P3(x2951,f38(x2953,a50))+~P7(x2953,f35(f5(a46,x2952),f2(f5(a46,x2952))))+P3(x2951,f38(f35(f5(a46,x2952),f2(f5(a46,x2952))),a50)) % 0.72/0.75 [192]~P1(x1924)+~P4(x1923)+~P4(x1921)+P3(x1921,x1922)+~E(x1921,x1923)+~E(x1922,f36(x1924,x1923)) % 0.72/0.75 [217]~P1(x2173)+~P4(x2172)+~P3(x2171,x2174)+E(x2171,x2172)+P3(x2171,x2173)+~E(x2174,f36(x2173,x2172)) % 0.72/0.75 [221]~P1(x2213)+~P4(x2214)+~P4(x2211)+~P3(x2211,x2213)+P3(x2211,x2212)+~E(x2212,f36(x2213,x2214)) % 0.72/0.75 [232]~P1(x2324)+~P7(x2321,x2324)+P3(x2321,x2322)+~P3(x2323,a41)+~E(x2322,f38(x2324,x2323))+~E(f7(x2321),x2323) % 0.72/0.75 [239]~P4(x2394)+~P2(x2393)+P3(x2391,x2392)+~E(f5(x2393,x2391),x2394)+~P3(x2391,f39(x2393))+~E(x2392,f6(x2393,x2394)) % 0.72/0.75 [252]~P2(x2523)+~P3(x2525,x2524)+P3(x2521,x2522)+~P7(x2524,f39(x2523))+~E(x2522,f34(x2523,x2524))+~E(f5(x2523,x2525),x2521) % 0.72/0.75 [244]E(f2(x2442),f2(x2441))+~P7(x2441,a41)+~P7(x2442,a41)+~P3(f2(x2441),x2442)+~P3(f2(x2442),x2441)+E(x2441,a37)+E(x2442,a37) % 0.72/0.75 [259]~P1(x2593)+~P1(x2592)+P7(x2592,x2593)+~P3(x2591,a41)+~P7(f38(x2592,x2591),f38(x2593,x2591))+E(x2591,a3)+E(f38(x2592,x2591),a37) % 0.72/0.75 [281]~P1(x2811)+~P1(x2812)+~P4(x2813)+E(f28(x2812,x2813,x2811),x2813)+P3(f28(x2812,x2813,x2811),x2811)+P3(f28(x2812,x2813,x2811),x2812)+E(x2811,f36(x2812,x2813)) % 0.72/0.75 [287]~P1(x2871)+~P1(x2872)+~P4(x2873)+~E(f28(x2872,x2873,x2871),x2873)+~P3(f28(x2872,x2873,x2871),x2871)+E(x2871,f36(x2872,x2873))+~P4(f28(x2872,x2873,x2871)) % 0.72/0.75 [288]~P1(x2881)+~P1(x2882)+~P4(x2883)+~P3(f28(x2882,x2883,x2881),x2881)+~P3(f28(x2882,x2883,x2881),x2882)+E(x2881,f36(x2882,x2883))+~P4(f28(x2882,x2883,x2881)) % 0.72/0.75 [291]~P1(x2911)+~P1(x2912)+~P3(x2913,a41)+~P3(f14(x2912,x2913,x2911),x2911)+~P7(f14(x2912,x2913,x2911),x2912)+E(x2911,f38(x2912,x2913))+~E(f7(f14(x2912,x2913,x2911)),x2913) % 0.72/0.75 [292]~P1(x2921)+~P4(x2923)+~P2(x2922)+~P3(f15(x2922,x2923,x2921),x2921)+~P3(f15(x2922,x2923,x2921),f39(x2922))+E(x2921,f6(x2922,x2923))+~E(f5(x2922,f15(x2922,x2923,x2921)),x2923) % 0.72/0.75 [222]~P1(x2224)+~P4(x2222)+~P4(x2221)+~P3(x2221,x2224)+E(x2221,x2222)+P3(x2221,x2223)+~E(x2223,f35(x2224,x2222)) % 0.72/0.75 [285]~P1(x2851)+~P2(x2852)+~P3(x2854,x2853)+~P7(x2853,f39(x2852))+~P3(f16(x2852,x2853,x2851),x2851)+~E(f5(x2852,x2854),f16(x2852,x2853,x2851))+E(x2851,f34(x2852,x2853)) % 0.72/0.75 [293]~P1(x2931)+~P1(x2932)+~P4(x2933)+E(f27(x2932,x2933,x2931),x2933)+~P3(f27(x2932,x2933,x2931),x2931)+~P3(f27(x2932,x2933,x2931),x2932)+E(x2931,f35(x2932,x2933))+~P4(f27(x2932,x2933,x2931)) % 0.72/0.75 [277]~P6(x2772)+~P2(x2773)+~E(f39(x2773),f38(x2772,x2771))+~P3(x2771,a41)+~P7(x2772,a41)+~P8(x2771,a44)+P6(f21(x2771,x2772,x2773))+~P7(f34(x2773,f39(x2773)),a53) % 0.72/0.75 [278]~P6(x2782)+~P2(x2783)+~E(f39(x2783),f38(x2782,x2781))+~P3(x2781,a41)+~P7(x2782,a41)+~P8(x2781,a44)+P3(f22(x2781,x2782,x2783),a53)+~P7(f34(x2783,f39(x2783)),a53) % 0.72/0.75 [280]~P6(x2802)+~P2(x2803)+~E(f39(x2803),f38(x2802,x2801))+~P3(x2801,a41)+~P7(x2802,a41)+~P8(x2801,a44)+P7(f21(x2801,x2802,x2803),x2802)+~P7(f34(x2803,f39(x2803)),a53) % 0.72/0.75 [294]~P6(x2944)+~P2(x2941)+~E(f39(x2941),f38(x2944,x2943))+~P3(x2943,a41)+~P7(x2944,a41)+~P8(x2943,a44)+E(f5(x2941,x2942),f22(x2943,x2944,x2941))+~P3(x2942,f38(f21(x2943,x2944,x2941),x2943))+~P7(f34(x2941,f39(x2941)),a53) % 0.72/0.75 %EqnAxiom % 0.72/0.75 [1]E(x11,x11) % 0.72/0.75 [2]E(x22,x21)+~E(x21,x22) % 0.72/0.75 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.72/0.75 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 0.72/0.75 [5]~E(x51,x52)+E(f43(x51),f43(x52)) % 0.72/0.75 [6]~E(x61,x62)+E(f4(x61),f4(x62)) % 0.72/0.75 [7]~E(x71,x72)+E(f39(x71),f39(x72)) % 0.72/0.75 [8]~E(x81,x82)+E(f28(x81,x83,x84),f28(x82,x83,x84)) % 0.72/0.75 [9]~E(x91,x92)+E(f28(x93,x91,x94),f28(x93,x92,x94)) % 0.72/0.75 [10]~E(x101,x102)+E(f28(x103,x104,x101),f28(x103,x104,x102)) % 0.72/0.75 [11]~E(x111,x112)+E(f36(x111,x113),f36(x112,x113)) % 0.72/0.75 [12]~E(x121,x122)+E(f36(x123,x121),f36(x123,x122)) % 0.72/0.75 [13]~E(x131,x132)+E(f5(x131,x133),f5(x132,x133)) % 0.72/0.75 [14]~E(x141,x142)+E(f5(x143,x141),f5(x143,x142)) % 0.72/0.75 [15]~E(x151,x152)+E(f6(x151,x153),f6(x152,x153)) % 0.72/0.75 [16]~E(x161,x162)+E(f6(x163,x161),f6(x163,x162)) % 0.72/0.75 [17]~E(x171,x172)+E(f38(x171,x173),f38(x172,x173)) % 0.72/0.75 [18]~E(x181,x182)+E(f38(x183,x181),f38(x183,x182)) % 0.72/0.75 [19]~E(x191,x192)+E(f12(x191,x193,x194),f12(x192,x193,x194)) % 0.72/0.75 [20]~E(x201,x202)+E(f12(x203,x201,x204),f12(x203,x202,x204)) % 0.72/0.75 [21]~E(x211,x212)+E(f12(x213,x214,x211),f12(x213,x214,x212)) % 0.72/0.75 [22]~E(x221,x222)+E(f35(x221,x223),f35(x222,x223)) % 0.72/0.75 [23]~E(x231,x232)+E(f35(x233,x231),f35(x233,x232)) % 0.72/0.75 [24]~E(x241,x242)+E(f16(x241,x243,x244),f16(x242,x243,x244)) % 0.72/0.75 [25]~E(x251,x252)+E(f16(x253,x251,x254),f16(x253,x252,x254)) % 0.72/0.75 [26]~E(x261,x262)+E(f16(x263,x264,x261),f16(x263,x264,x262)) % 0.72/0.75 [27]~E(x271,x272)+E(f27(x271,x273,x274),f27(x272,x273,x274)) % 0.72/0.75 [28]~E(x281,x282)+E(f27(x283,x281,x284),f27(x283,x282,x284)) % 0.72/0.75 [29]~E(x291,x292)+E(f27(x293,x294,x291),f27(x293,x294,x292)) % 0.72/0.75 [30]~E(x301,x302)+E(f40(x301),f40(x302)) % 0.72/0.75 [31]~E(x311,x312)+E(f32(x311,x313),f32(x312,x313)) % 0.72/0.75 [32]~E(x321,x322)+E(f32(x323,x321),f32(x323,x322)) % 0.72/0.75 [33]~E(x331,x332)+E(f22(x331,x333,x334),f22(x332,x333,x334)) % 0.72/0.75 [34]~E(x341,x342)+E(f22(x343,x341,x344),f22(x343,x342,x344)) % 0.72/0.75 [35]~E(x351,x352)+E(f22(x353,x354,x351),f22(x353,x354,x352)) % 0.72/0.75 [36]~E(x361,x362)+E(f34(x361,x363),f34(x362,x363)) % 0.72/0.75 [37]~E(x371,x372)+E(f34(x373,x371),f34(x373,x372)) % 0.72/0.75 [38]~E(x381,x382)+E(f17(x381,x383,x384,x385),f17(x382,x383,x384,x385)) % 0.72/0.75 [39]~E(x391,x392)+E(f17(x393,x391,x394,x395),f17(x393,x392,x394,x395)) % 0.72/0.75 [40]~E(x401,x402)+E(f17(x403,x404,x401,x405),f17(x403,x404,x402,x405)) % 0.72/0.75 [41]~E(x411,x412)+E(f17(x413,x414,x415,x411),f17(x413,x414,x415,x412)) % 0.72/0.75 [42]~E(x421,x422)+E(f33(x421,x423),f33(x422,x423)) % 0.72/0.75 [43]~E(x431,x432)+E(f33(x433,x431),f33(x433,x432)) % 0.72/0.75 [44]~E(x441,x442)+E(f20(x441),f20(x442)) % 0.72/0.75 [45]~E(x451,x452)+E(f29(x451,x453),f29(x452,x453)) % 0.72/0.75 [46]~E(x461,x462)+E(f29(x463,x461),f29(x463,x462)) % 0.72/0.75 [47]~E(x471,x472)+E(f18(x471,x473,x474),f18(x472,x473,x474)) % 0.72/0.75 [48]~E(x481,x482)+E(f18(x483,x481,x484),f18(x483,x482,x484)) % 0.72/0.75 [49]~E(x491,x492)+E(f18(x493,x494,x491),f18(x493,x494,x492)) % 0.72/0.75 [50]~E(x501,x502)+E(f7(x501),f7(x502)) % 0.72/0.75 [51]~E(x511,x512)+E(f42(x511),f42(x512)) % 0.72/0.75 [52]~E(x521,x522)+E(f26(x521,x523),f26(x522,x523)) % 0.72/0.75 [53]~E(x531,x532)+E(f26(x533,x531),f26(x533,x532)) % 0.72/0.75 [54]~E(x541,x542)+E(f19(x541),f19(x542)) % 0.72/0.75 [55]~E(x551,x552)+E(f30(x551,x553),f30(x552,x553)) % 0.72/0.75 [56]~E(x561,x562)+E(f30(x563,x561),f30(x563,x562)) % 0.72/0.75 [57]~E(x571,x572)+E(f11(x571,x573),f11(x572,x573)) % 0.72/0.75 [58]~E(x581,x582)+E(f11(x583,x581),f11(x583,x582)) % 0.72/0.75 [59]~E(x591,x592)+E(f15(x591,x593,x594),f15(x592,x593,x594)) % 0.72/0.75 [60]~E(x601,x602)+E(f15(x603,x601,x604),f15(x603,x602,x604)) % 0.72/0.75 [61]~E(x611,x612)+E(f15(x613,x614,x611),f15(x613,x614,x612)) % 0.72/0.75 [62]~E(x621,x622)+E(f31(x621,x623),f31(x622,x623)) % 0.72/0.75 [63]~E(x631,x632)+E(f31(x633,x631),f31(x633,x632)) % 0.72/0.75 [64]~E(x641,x642)+E(f8(x641),f8(x642)) % 0.72/0.75 [65]~E(x651,x652)+E(f13(x651,x653,x654),f13(x652,x653,x654)) % 0.72/0.75 [66]~E(x661,x662)+E(f13(x663,x661,x664),f13(x663,x662,x664)) % 0.72/0.75 [67]~E(x671,x672)+E(f13(x673,x674,x671),f13(x673,x674,x672)) % 0.72/0.75 [68]~E(x681,x682)+E(f10(x681,x683),f10(x682,x683)) % 0.72/0.75 [69]~E(x691,x692)+E(f10(x693,x691),f10(x693,x692)) % 0.72/0.75 [70]~E(x701,x702)+E(f14(x701,x703,x704),f14(x702,x703,x704)) % 0.72/0.75 [71]~E(x711,x712)+E(f14(x713,x711,x714),f14(x713,x712,x714)) % 0.72/0.75 [72]~E(x721,x722)+E(f14(x723,x724,x721),f14(x723,x724,x722)) % 0.72/0.75 [73]~E(x731,x732)+E(f24(x731),f24(x732)) % 0.72/0.75 [74]~E(x741,x742)+E(f23(x741),f23(x742)) % 0.72/0.75 [75]~E(x751,x752)+E(f9(x751),f9(x752)) % 0.72/0.75 [76]~E(x761,x762)+E(f25(x761),f25(x762)) % 0.72/0.75 [77]~E(x771,x772)+E(f21(x771,x773,x774),f21(x772,x773,x774)) % 0.72/0.75 [78]~E(x781,x782)+E(f21(x783,x781,x784),f21(x783,x782,x784)) % 0.72/0.75 [79]~E(x791,x792)+E(f21(x793,x794,x791),f21(x793,x794,x792)) % 0.72/0.75 [80]~P1(x801)+P1(x802)+~E(x801,x802) % 0.72/0.75 [81]P3(x812,x813)+~E(x811,x812)+~P3(x811,x813) % 0.72/0.75 [82]P3(x823,x822)+~E(x821,x822)+~P3(x823,x821) % 0.72/0.75 [83]~P6(x831)+P6(x832)+~E(x831,x832) % 0.72/0.75 [84]P7(x842,x843)+~E(x841,x842)+~P7(x841,x843) % 0.72/0.75 [85]P7(x853,x852)+~E(x851,x852)+~P7(x853,x851) % 0.72/0.75 [86]~P2(x861)+P2(x862)+~E(x861,x862) % 0.72/0.75 [87]~P5(x871)+P5(x872)+~E(x871,x872) % 0.72/0.75 [88]~P4(x881)+P4(x882)+~E(x881,x882) % 0.72/0.75 [89]P9(x892,x893)+~E(x891,x892)+~P9(x891,x893) % 0.72/0.75 [90]P9(x903,x902)+~E(x901,x902)+~P9(x903,x901) % 0.72/0.75 [91]P8(x912,x913)+~E(x911,x912)+~P8(x911,x913) % 0.72/0.75 [92]P8(x923,x922)+~E(x921,x922)+~P8(x923,x921) % 0.72/0.75 % 0.72/0.75 %------------------------------------------- % 0.72/0.75 cnf(298,plain, % 0.72/0.75 (P1(a37)), % 0.72/0.75 inference(equality_inference,[],[139])). % 0.72/0.75 cnf(301,plain, % 0.72/0.75 (~P3(x3011,a37)), % 0.72/0.75 inference(equality_inference,[],[147])). % 0.72/0.75 cnf(302,plain, % 0.72/0.75 (P1(f4(x3021))+~P3(x3021,a41)), % 0.72/0.75 inference(equality_inference,[],[156])). % 0.72/0.75 cnf(308,plain, % 0.72/0.75 (~P1(x3081)+P1(f38(x3081,x3082))+~P3(x3082,a41)), % 0.72/0.75 inference(equality_inference,[],[185])). % 0.72/0.75 cnf(321,plain, % 0.72/0.75 (~P3(x3211,a41)+~P3(x3211,a41)+P3(x3211,f4(f43(x3211)))), % 0.72/0.75 inference(equality_inference,[],[216])). % 0.72/0.75 cnf(328,plain, % 0.72/0.75 (P3(x3281,f4(x3282))+~P3(x3281,a41)+~P9(f43(x3281),x3282)+~P3(x3282,a41)), % 0.72/0.75 inference(equality_inference,[],[229])). % 0.72/0.75 cnf(357,plain, % 0.72/0.75 (~P3(x3571,a37)), % 0.72/0.75 inference(rename_variables,[],[301])). % 0.72/0.75 cnf(374,plain, % 0.72/0.75 ($false), % 0.72/0.75 inference(scs_inference,[],[138,100,103,104,298,301,357,107,116,117,120,123,124,125,136,126,94,95,96,139,302,147,160,2,84,85,308,142,145,321,3,82,87,205,200,225,226,328,191,219,158]), % 0.72/0.75 ['proof']). % 0.72/0.75 % SZS output end Proof % 0.72/0.75 % Total time :0.040000s %------------------------------------------------------------------------------