%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : NUM547+3 : 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 : n026.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 0.50s 0.65s % Output : CNFRefutation 0.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.11 % Problem : NUM547+3 : TPTP v8.2.0. Released v4.0.0. % 0.09/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.11/0.31 % Computer : n026.cluster.edu % 0.11/0.31 % Model : x86_64 x86_64 % 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.31 % Memory : 8042.1875MB % 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.31 % CPULimit : 300 % 0.11/0.31 % WCLimit : 300 % 0.11/0.31 % DateTime : Sun Jun 23 01:31:39 EDT 2024 % 0.11/0.31 % CPUTime : % 0.46/0.55 start to proof:theBenchmark % 0.46/0.62 %------------------------------------------- % 0.46/0.62 % File :CSE---1.7 % 0.46/0.62 % Problem :theBenchmark % 0.46/0.62 % Transform :cnf % 0.46/0.62 % Format :tptp:raw % 0.46/0.62 % Command :java -jar mcs_scs.jar %d %s % 0.46/0.62 % 0.46/0.62 % Result :Theorem 0.000000s % 0.46/0.62 % Output :CNFRefutation 0.000000s % 0.46/0.62 %------------------------------------------- % 0.46/0.62 %------------------------------------------------------------------------------ % 0.46/0.62 % File : NUM547+3 : TPTP v8.2.0. Released v4.0.0. % 0.46/0.62 % Domain : Number Theory % 0.46/0.62 % Problem : Ramsey's Infinite Theorem 12_01, 02 expansion % 0.46/0.62 % Version : Especial. % 0.46/0.62 % English : % 0.46/0.62 % 0.46/0.62 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction % 0.46/0.62 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe % 0.46/0.62 % Source : [Pas08] % 0.46/0.62 % Names : ramsey_12_01.02 [Pas08] % 0.46/0.62 % 0.46/0.62 % Status : Theorem % 0.46/0.63 % Rating : 0.11 v8.1.0, 0.06 v7.4.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.08 v6.2.0, 0.12 v6.1.0, 0.10 v6.0.0, 0.09 v5.5.0, 0.11 v5.4.0, 0.18 v5.3.0, 0.22 v5.2.0, 0.15 v5.1.0, 0.24 v5.0.0, 0.29 v4.1.0, 0.39 v4.0.1, 0.70 v4.0.0 % 0.46/0.63 % Syntax : Number of formulae : 65 ( 5 unt; 8 def) % 0.46/0.63 % Number of atoms : 282 ( 45 equ) % 0.46/0.63 % Maximal formula atoms : 43 ( 4 avg) % 0.46/0.63 % Number of connectives : 236 ( 19 ~; 10 |; 91 &) % 0.46/0.63 % ( 17 <=>; 99 =>; 0 <=; 0 <~>) % 0.46/0.63 % Maximal formula depth : 17 ( 5 avg) % 0.46/0.63 % Maximal term depth : 4 ( 1 avg) % 0.46/0.63 % Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty) % 0.46/0.63 % Number of functors : 15 ( 15 usr; 7 con; 0-2 aty) % 0.46/0.63 % Number of variables : 119 ( 113 !; 6 ?) % 0.46/0.63 % SPC : FOF_THM_RFO_SEQ % 0.46/0.63 % 0.46/0.63 % Comments : Problem generated by the SAD system [VLP07] % 0.46/0.63 %------------------------------------------------------------------------------ % 0.46/0.63 fof(mSetSort,axiom, % 0.46/0.63 ! [W0] : % 0.46/0.63 ( aSet0(W0) % 0.46/0.63 => $true ) ). % 0.46/0.63 % 0.46/0.63 fof(mElmSort,axiom, % 0.46/0.63 ! [W0] : % 0.46/0.63 ( aElement0(W0) % 0.46/0.63 => $true ) ). % 0.46/0.63 % 0.46/0.63 fof(mEOfElem,axiom, % 0.46/0.63 ! [W0] : % 0.46/0.63 ( aSet0(W0) % 0.46/0.63 => ! [W1] : % 0.46/0.63 ( aElementOf0(W1,W0) % 0.46/0.63 => aElement0(W1) ) ) ). % 0.46/0.63 % 0.46/0.63 fof(mFinRel,axiom, % 0.46/0.63 ! [W0] : % 0.46/0.63 ( aSet0(W0) % 0.46/0.63 => ( isFinite0(W0) % 0.46/0.63 => $true ) ) ). % 0.46/0.63 % 0.46/0.63 fof(mDefEmp,definition, % 0.46/0.63 ! [W0] : % 0.46/0.63 ( W0 = slcrc0 % 0.46/0.63 <=> ( aSet0(W0) % 0.46/0.63 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ). % 0.46/0.63 % 0.46/0.63 fof(mEmpFin,axiom, % 0.46/0.63 isFinite0(slcrc0) ). % 0.46/0.63 % 0.46/0.63 fof(mCntRel,axiom, % 0.46/0.63 ! [W0] : % 0.46/0.63 ( aSet0(W0) % 0.46/0.63 => ( isCountable0(W0) % 0.46/0.63 => $true ) ) ). % 0.46/0.63 % 0.46/0.63 fof(mCountNFin,axiom, % 0.46/0.63 ! [W0] : % 0.46/0.63 ( ( aSet0(W0) % 0.46/0.63 & isCountable0(W0) ) % 0.46/0.63 => ~ isFinite0(W0) ) ). % 0.46/0.63 % 0.46/0.63 fof(mCountNFin_01,axiom, % 0.46/0.63 ! [W0] : % 0.46/0.63 ( ( aSet0(W0) % 0.46/0.63 & isCountable0(W0) ) % 0.46/0.63 => W0 != slcrc0 ) ). % 0.46/0.63 % 0.46/0.63 fof(mDefSub,definition, % 0.46/0.63 ! [W0] : % 0.46/0.63 ( aSet0(W0) % 0.46/0.63 => ! [W1] : % 0.46/0.63 ( aSubsetOf0(W1,W0) % 0.46/0.63 <=> ( aSet0(W1) % 0.46/0.63 & ! [W2] : % 0.46/0.63 ( aElementOf0(W2,W1) % 0.46/0.63 => aElementOf0(W2,W0) ) ) ) ) ). % 0.46/0.63 % 0.46/0.63 fof(mSubFSet,axiom, % 0.46/0.63 ! [W0] : % 0.46/0.63 ( ( aSet0(W0) % 0.46/0.63 & isFinite0(W0) ) % 0.46/0.63 => ! [W1] : % 0.46/0.63 ( aSubsetOf0(W1,W0) % 0.46/0.63 => isFinite0(W1) ) ) ). % 0.46/0.63 % 0.46/0.63 fof(mSubRefl,axiom, % 0.46/0.63 ! [W0] : % 0.46/0.63 ( aSet0(W0) % 0.46/0.63 => aSubsetOf0(W0,W0) ) ). % 0.46/0.63 % 0.46/0.63 fof(mSubASymm,axiom, % 0.46/0.63 ! [W0,W1] : % 0.46/0.63 ( ( aSet0(W0) % 0.46/0.63 & aSet0(W1) ) % 0.46/0.63 => ( ( aSubsetOf0(W0,W1) % 0.46/0.63 & aSubsetOf0(W1,W0) ) % 0.46/0.63 => W0 = W1 ) ) ). % 0.46/0.63 % 0.46/0.63 fof(mSubTrans,axiom, % 0.46/0.63 ! [W0,W1,W2] : % 0.46/0.63 ( ( aSet0(W0) % 0.46/0.63 & aSet0(W1) % 0.46/0.63 & aSet0(W2) ) % 0.46/0.63 => ( ( aSubsetOf0(W0,W1) % 0.46/0.63 & aSubsetOf0(W1,W2) ) % 0.46/0.63 => aSubsetOf0(W0,W2) ) ) ). % 0.46/0.63 % 0.46/0.63 fof(mDefCons,definition, % 0.46/0.63 ! [W0,W1] : % 0.46/0.63 ( ( aSet0(W0) % 0.46/0.63 & aElement0(W1) ) % 0.46/0.63 => ! [W2] : % 0.46/0.63 ( W2 = sdtpldt0(W0,W1) % 0.46/0.63 <=> ( aSet0(W2) % 0.46/0.63 & ! [W3] : % 0.46/0.63 ( aElementOf0(W3,W2) % 0.46/0.63 <=> ( aElement0(W3) % 0.46/0.63 & ( aElementOf0(W3,W0) % 0.46/0.63 | W3 = W1 ) ) ) ) ) ) ). % 0.50/0.63 % 0.50/0.63 fof(mDefDiff,definition, % 0.50/0.63 ! [W0,W1] : % 0.50/0.63 ( ( aSet0(W0) % 0.50/0.63 & aElement0(W1) ) % 0.50/0.63 => ! [W2] : % 0.50/0.63 ( W2 = sdtmndt0(W0,W1) % 0.50/0.63 <=> ( aSet0(W2) % 0.50/0.63 & ! [W3] : % 0.50/0.63 ( aElementOf0(W3,W2) % 0.50/0.63 <=> ( aElement0(W3) % 0.50/0.63 & aElementOf0(W3,W0) % 0.50/0.63 & W3 != W1 ) ) ) ) ) ). % 0.50/0.63 % 0.50/0.63 fof(mConsDiff,axiom, % 0.50/0.63 ! [W0] : % 0.50/0.63 ( aSet0(W0) % 0.50/0.63 => ! [W1] : % 0.50/0.63 ( aElementOf0(W1,W0) % 0.50/0.63 => sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ) ). % 0.50/0.63 % 0.50/0.63 fof(mDiffCons,axiom, % 0.50/0.63 ! [W0,W1] : % 0.50/0.63 ( ( aElement0(W0) % 0.50/0.63 & aSet0(W1) ) % 0.50/0.63 => ( ~ aElementOf0(W0,W1) % 0.50/0.63 => sdtmndt0(sdtpldt0(W1,W0),W0) = W1 ) ) ). % 0.50/0.63 % 0.50/0.63 fof(mCConsSet,axiom, % 0.50/0.63 ! [W0] : % 0.50/0.63 ( aElement0(W0) % 0.50/0.63 => ! [W1] : % 0.50/0.63 ( ( aSet0(W1) % 0.50/0.63 & isCountable0(W1) ) % 0.50/0.63 => isCountable0(sdtpldt0(W1,W0)) ) ) ). % 0.50/0.63 % 0.50/0.63 fof(mCDiffSet,axiom, % 0.50/0.63 ! [W0] : % 0.50/0.63 ( aElement0(W0) % 0.50/0.63 => ! [W1] : % 0.50/0.63 ( ( aSet0(W1) % 0.50/0.63 & isCountable0(W1) ) % 0.50/0.63 => isCountable0(sdtmndt0(W1,W0)) ) ) ). % 0.50/0.63 % 0.50/0.63 fof(mFConsSet,axiom, % 0.50/0.63 ! [W0] : % 0.50/0.63 ( aElement0(W0) % 0.50/0.63 => ! [W1] : % 0.50/0.63 ( ( aSet0(W1) % 0.50/0.63 & isFinite0(W1) ) % 0.50/0.63 => isFinite0(sdtpldt0(W1,W0)) ) ) ). % 0.50/0.63 % 0.50/0.63 fof(mFDiffSet,axiom, % 0.50/0.63 ! [W0] : % 0.50/0.63 ( aElement0(W0) % 0.50/0.63 => ! [W1] : % 0.50/0.63 ( ( aSet0(W1) % 0.50/0.63 & isFinite0(W1) ) % 0.50/0.63 => isFinite0(sdtmndt0(W1,W0)) ) ) ). % 0.50/0.63 % 0.50/0.63 fof(mNATSet,axiom, % 0.50/0.63 ( aSet0(szNzAzT0) % 0.50/0.63 & isCountable0(szNzAzT0) ) ). % 0.50/0.63 % 0.50/0.63 fof(mZeroNum,axiom, % 0.50/0.63 aElementOf0(sz00,szNzAzT0) ). % 0.50/0.64 % 0.50/0.64 fof(mSuccNum,axiom, % 0.50/0.64 ! [W0] : % 0.50/0.64 ( aElementOf0(W0,szNzAzT0) % 0.50/0.64 => ( aElementOf0(szszuzczcdt0(W0),szNzAzT0) % 0.50/0.64 & szszuzczcdt0(W0) != sz00 ) ) ). % 0.50/0.64 % 0.50/0.64 fof(mSuccEquSucc,axiom, % 0.50/0.64 ! [W0,W1] : % 0.50/0.64 ( ( aElementOf0(W0,szNzAzT0) % 0.50/0.64 & aElementOf0(W1,szNzAzT0) ) % 0.50/0.64 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1) % 0.50/0.64 => W0 = W1 ) ) ). % 0.50/0.64 % 0.50/0.64 fof(mNatExtra,axiom, % 0.50/0.64 ! [W0] : % 0.50/0.64 ( aElementOf0(W0,szNzAzT0) % 0.50/0.64 => ( W0 = sz00 % 0.50/0.64 | ? [W1] : % 0.50/0.64 ( aElementOf0(W1,szNzAzT0) % 0.50/0.64 & W0 = szszuzczcdt0(W1) ) ) ) ). % 0.50/0.64 % 0.50/0.64 fof(mNatNSucc,axiom, % 0.50/0.64 ! [W0] : % 0.50/0.64 ( aElementOf0(W0,szNzAzT0) % 0.50/0.64 => W0 != szszuzczcdt0(W0) ) ). % 0.50/0.64 % 0.50/0.64 fof(mLessRel,axiom, % 0.50/0.64 ! [W0,W1] : % 0.50/0.64 ( ( aElementOf0(W0,szNzAzT0) % 0.50/0.64 & aElementOf0(W1,szNzAzT0) ) % 0.50/0.64 => ( sdtlseqdt0(W0,W1) % 0.50/0.64 => $true ) ) ). % 0.50/0.64 % 0.50/0.64 fof(mZeroLess,axiom, % 0.50/0.64 ! [W0] : % 0.50/0.64 ( aElementOf0(W0,szNzAzT0) % 0.50/0.64 => sdtlseqdt0(sz00,W0) ) ). % 0.50/0.64 % 0.50/0.64 fof(mNoScLessZr,axiom, % 0.50/0.64 ! [W0] : % 0.50/0.64 ( aElementOf0(W0,szNzAzT0) % 0.50/0.64 => ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) ). % 0.50/0.64 % 0.50/0.64 fof(mSuccLess,axiom, % 0.50/0.64 ! [W0,W1] : % 0.50/0.64 ( ( aElementOf0(W0,szNzAzT0) % 0.50/0.64 & aElementOf0(W1,szNzAzT0) ) % 0.50/0.64 => ( sdtlseqdt0(W0,W1) % 0.50/0.64 <=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ) ). % 0.50/0.64 % 0.50/0.64 fof(mLessSucc,axiom, % 0.50/0.64 ! [W0] : % 0.50/0.64 ( aElementOf0(W0,szNzAzT0) % 0.50/0.64 => sdtlseqdt0(W0,szszuzczcdt0(W0)) ) ). % 0.50/0.64 % 0.50/0.64 fof(mLessRefl,axiom, % 0.50/0.64 ! [W0] : % 0.50/0.64 ( aElementOf0(W0,szNzAzT0) % 0.50/0.64 => sdtlseqdt0(W0,W0) ) ). % 0.50/0.64 % 0.50/0.64 fof(mLessASymm,axiom, % 0.50/0.64 ! [W0,W1] : % 0.50/0.64 ( ( aElementOf0(W0,szNzAzT0) % 0.50/0.64 & aElementOf0(W1,szNzAzT0) ) % 0.50/0.64 => ( ( sdtlseqdt0(W0,W1) % 0.50/0.64 & sdtlseqdt0(W1,W0) ) % 0.50/0.64 => W0 = W1 ) ) ). % 0.50/0.64 % 0.50/0.64 fof(mLessTrans,axiom, % 0.50/0.64 ! [W0,W1,W2] : % 0.50/0.64 ( ( aElementOf0(W0,szNzAzT0) % 0.50/0.64 & aElementOf0(W1,szNzAzT0) % 0.50/0.64 & aElementOf0(W2,szNzAzT0) ) % 0.50/0.64 => ( ( sdtlseqdt0(W0,W1) % 0.50/0.64 & sdtlseqdt0(W1,W2) ) % 0.50/0.64 => sdtlseqdt0(W0,W2) ) ) ). % 0.50/0.64 % 0.50/0.64 fof(mLessTotal,axiom, % 0.50/0.64 ! [W0,W1] : % 0.50/0.64 ( ( aElementOf0(W0,szNzAzT0) % 0.50/0.64 & aElementOf0(W1,szNzAzT0) ) % 0.50/0.64 => ( sdtlseqdt0(W0,W1) % 0.50/0.64 | sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ). % 0.50/0.64 % 0.50/0.64 fof(mIHSort,axiom, % 0.50/0.64 ! [W0,W1] : % 0.50/0.64 ( ( aElementOf0(W0,szNzAzT0) % 0.50/0.64 & aElementOf0(W1,szNzAzT0) ) % 0.50/0.64 => ( iLess0(W0,W1) % 0.50/0.64 => $true ) ) ). % 0.50/0.64 % 0.50/0.64 fof(mIH,axiom, % 0.50/0.64 ! [W0] : % 0.50/0.64 ( aElementOf0(W0,szNzAzT0) % 0.50/0.64 => iLess0(W0,szszuzczcdt0(W0)) ) ). % 0.50/0.64 % 0.50/0.64 fof(mCardS,axiom, % 0.50/0.64 ! [W0] : % 0.50/0.64 ( aSet0(W0) % 0.50/0.64 => aElement0(sbrdtbr0(W0)) ) ). % 0.50/0.64 % 0.50/0.64 fof(mCardNum,axiom, % 0.50/0.64 ! [W0] : % 0.50/0.64 ( aSet0(W0) % 0.50/0.64 => ( aElementOf0(sbrdtbr0(W0),szNzAzT0) % 0.50/0.64 <=> isFinite0(W0) ) ) ). % 0.50/0.64 % 0.50/0.64 fof(mCardEmpty,axiom, % 0.50/0.64 ! [W0] : % 0.50/0.64 ( aSet0(W0) % 0.50/0.64 => ( sbrdtbr0(W0) = sz00 % 0.50/0.64 <=> W0 = slcrc0 ) ) ). % 0.50/0.64 % 0.50/0.64 fof(mCardCons,axiom, % 0.50/0.64 ! [W0] : % 0.50/0.64 ( ( aSet0(W0) % 0.50/0.64 & isFinite0(W0) ) % 0.50/0.64 => ! [W1] : % 0.50/0.64 ( aElement0(W1) % 0.50/0.64 => ( ~ aElementOf0(W1,W0) % 0.50/0.64 => sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ). % 0.50/0.64 % 0.50/0.64 fof(mCardDiff,axiom, % 0.50/0.64 ! [W0] : % 0.50/0.64 ( aSet0(W0) % 0.50/0.64 => ! [W1] : % 0.50/0.64 ( ( isFinite0(W0) % 0.50/0.64 & aElementOf0(W1,W0) ) % 0.50/0.64 => szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ) ). % 0.50/0.64 % 0.50/0.64 fof(mCardSub,axiom, % 0.50/0.64 ! [W0] : % 0.50/0.64 ( aSet0(W0) % 0.50/0.64 => ! [W1] : % 0.50/0.64 ( ( isFinite0(W0) % 0.50/0.64 & aSubsetOf0(W1,W0) ) % 0.50/0.64 => sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ) ). % 0.50/0.64 % 0.50/0.64 fof(mCardSubEx,axiom, % 0.50/0.64 ! [W0,W1] : % 0.50/0.64 ( ( aSet0(W0) % 0.50/0.64 & aElementOf0(W1,szNzAzT0) ) % 0.50/0.64 => ( ( isFinite0(W0) % 0.50/0.64 & sdtlseqdt0(W1,sbrdtbr0(W0)) ) % 0.50/0.64 => ? [W2] : % 0.50/0.64 ( aSubsetOf0(W2,W0) % 0.50/0.64 & sbrdtbr0(W2) = W1 ) ) ) ). % 0.50/0.64 % 0.50/0.64 fof(mDefMin,definition, % 0.50/0.64 ! [W0] : % 0.50/0.64 ( ( aSubsetOf0(W0,szNzAzT0) % 0.50/0.64 & W0 != slcrc0 ) % 0.50/0.64 => ! [W1] : % 0.50/0.64 ( W1 = szmzizndt0(W0) % 0.50/0.64 <=> ( aElementOf0(W1,W0) % 0.50/0.64 & ! [W2] : % 0.50/0.64 ( aElementOf0(W2,W0) % 0.50/0.64 => sdtlseqdt0(W1,W2) ) ) ) ) ). % 0.50/0.64 % 0.50/0.64 fof(mDefMax,definition, % 0.50/0.64 ! [W0] : % 0.50/0.64 ( ( aSubsetOf0(W0,szNzAzT0) % 0.50/0.64 & isFinite0(W0) % 0.50/0.64 & W0 != slcrc0 ) % 0.50/0.64 => ! [W1] : % 0.50/0.64 ( W1 = szmzazxdt0(W0) % 0.50/0.64 <=> ( aElementOf0(W1,W0) % 0.50/0.64 & ! [W2] : % 0.50/0.64 ( aElementOf0(W2,W0) % 0.50/0.64 => sdtlseqdt0(W2,W1) ) ) ) ) ). % 0.50/0.64 % 0.50/0.64 fof(mMinMin,axiom, % 0.50/0.64 ! [W0,W1] : % 0.50/0.64 ( ( aSubsetOf0(W0,szNzAzT0) % 0.50/0.64 & aSubsetOf0(W1,szNzAzT0) % 0.50/0.64 & W0 != slcrc0 % 0.50/0.64 & W1 != slcrc0 ) % 0.50/0.64 => ( ( aElementOf0(szmzizndt0(W0),W1) % 0.50/0.64 & aElementOf0(szmzizndt0(W1),W0) ) % 0.50/0.64 => szmzizndt0(W0) = szmzizndt0(W1) ) ) ). % 0.50/0.64 % 0.50/0.64 fof(mDefSeg,definition, % 0.50/0.64 ! [W0] : % 0.50/0.64 ( aElementOf0(W0,szNzAzT0) % 0.50/0.64 => ! [W1] : % 0.50/0.64 ( W1 = slbdtrb0(W0) % 0.50/0.64 <=> ( aSet0(W1) % 0.50/0.64 & ! [W2] : % 0.50/0.64 ( aElementOf0(W2,W1) % 0.50/0.64 <=> ( aElementOf0(W2,szNzAzT0) % 0.50/0.64 & sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ) ). % 0.50/0.64 % 0.50/0.64 fof(mSegFin,axiom, % 0.50/0.64 ! [W0] : % 0.50/0.64 ( aElementOf0(W0,szNzAzT0) % 0.50/0.64 => isFinite0(slbdtrb0(W0)) ) ). % 0.50/0.64 % 0.50/0.64 fof(mSegZero,axiom, % 0.50/0.64 slbdtrb0(sz00) = slcrc0 ). % 0.50/0.64 % 0.50/0.64 fof(mSegSucc,axiom, % 0.50/0.64 ! [W0,W1] : % 0.50/0.64 ( ( aElementOf0(W0,szNzAzT0) % 0.50/0.64 & aElementOf0(W1,szNzAzT0) ) % 0.50/0.64 => ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1))) % 0.50/0.64 <=> ( aElementOf0(W0,slbdtrb0(W1)) % 0.50/0.64 | W0 = W1 ) ) ) ). % 0.50/0.64 % 0.50/0.64 fof(mSegLess,axiom, % 0.50/0.64 ! [W0,W1] : % 0.50/0.64 ( ( aElementOf0(W0,szNzAzT0) % 0.50/0.64 & aElementOf0(W1,szNzAzT0) ) % 0.50/0.64 => ( sdtlseqdt0(W0,W1) % 0.50/0.64 <=> aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)) ) ) ). % 0.50/0.64 % 0.50/0.64 fof(mFinSubSeg,axiom, % 0.50/0.64 ! [W0] : % 0.50/0.64 ( ( aSubsetOf0(W0,szNzAzT0) % 0.50/0.64 & isFinite0(W0) ) % 0.50/0.64 => ? [W1] : % 0.50/0.64 ( aElementOf0(W1,szNzAzT0) % 0.50/0.64 & aSubsetOf0(W0,slbdtrb0(W1)) ) ) ). % 0.50/0.64 % 0.50/0.64 fof(mCardSeg,axiom, % 0.50/0.64 ! [W0] : % 0.50/0.64 ( aElementOf0(W0,szNzAzT0) % 0.50/0.64 => sbrdtbr0(slbdtrb0(W0)) = W0 ) ). % 0.50/0.64 % 0.50/0.64 fof(mDefSel,definition, % 0.50/0.64 ! [W0,W1] : % 0.50/0.64 ( ( aSet0(W0) % 0.50/0.64 & aElementOf0(W1,szNzAzT0) ) % 0.50/0.64 => ! [W2] : % 0.50/0.64 ( W2 = slbdtsldtrb0(W0,W1) % 0.50/0.64 <=> ( aSet0(W2) % 0.50/0.64 & ! [W3] : % 0.50/0.64 ( aElementOf0(W3,W2) % 0.50/0.64 <=> ( aSubsetOf0(W3,W0) % 0.50/0.64 & sbrdtbr0(W3) = W1 ) ) ) ) ) ). % 0.50/0.64 % 0.50/0.64 fof(mSelFSet,axiom, % 0.50/0.64 ! [W0] : % 0.50/0.64 ( ( aSet0(W0) % 0.50/0.64 & isFinite0(W0) ) % 0.50/0.64 => ! [W1] : % 0.50/0.64 ( aElementOf0(W1,szNzAzT0) % 0.50/0.65 => isFinite0(slbdtsldtrb0(W0,W1)) ) ) ). % 0.50/0.65 % 0.50/0.65 fof(mSelNSet,axiom, % 0.50/0.65 ! [W0] : % 0.50/0.65 ( ( aSet0(W0) % 0.50/0.65 & ~ isFinite0(W0) ) % 0.50/0.65 => ! [W1] : % 0.50/0.65 ( aElementOf0(W1,szNzAzT0) % 0.50/0.65 => slbdtsldtrb0(W0,W1) != slcrc0 ) ) ). % 0.50/0.65 % 0.50/0.65 fof(mSelCSet,axiom, % 0.50/0.65 ! [W0] : % 0.50/0.65 ( ( aSet0(W0) % 0.50/0.65 & isCountable0(W0) ) % 0.50/0.65 => ! [W1] : % 0.50/0.65 ( ( aElementOf0(W1,szNzAzT0) % 0.50/0.65 & W1 != sz00 ) % 0.50/0.65 => isCountable0(slbdtsldtrb0(W0,W1)) ) ) ). % 0.50/0.65 % 0.50/0.65 fof(m__2202,hypothesis, % 0.50/0.65 aElementOf0(xk,szNzAzT0) ). % 0.50/0.65 % 0.50/0.65 fof(m__2202_02,hypothesis, % 0.50/0.65 ( aSet0(xS) % 0.50/0.65 & aSet0(xT) % 0.50/0.65 & xk != sz00 ) ). % 0.50/0.65 % 0.50/0.65 fof(m__2227,hypothesis, % 0.50/0.65 ( aSet0(slbdtsldtrb0(xS,xk)) % 0.50/0.65 & ! [W0] : % 0.50/0.65 ( ( aElementOf0(W0,slbdtsldtrb0(xS,xk)) % 0.50/0.65 => ( aSet0(W0) % 0.50/0.65 & ! [W1] : % 0.50/0.65 ( aElementOf0(W1,W0) % 0.50/0.65 => aElementOf0(W1,xS) ) % 0.50/0.65 & aSubsetOf0(W0,xS) % 0.50/0.65 & sbrdtbr0(W0) = xk ) ) % 0.50/0.65 & ( ( ( ( aSet0(W0) % 0.50/0.65 & ! [W1] : % 0.50/0.65 ( aElementOf0(W1,W0) % 0.50/0.65 => aElementOf0(W1,xS) ) ) % 0.50/0.65 | aSubsetOf0(W0,xS) ) % 0.50/0.65 & sbrdtbr0(W0) = xk ) % 0.50/0.65 => aElementOf0(W0,slbdtsldtrb0(xS,xk)) ) ) % 0.50/0.65 & aSet0(slbdtsldtrb0(xT,xk)) % 0.50/0.65 & ! [W0] : % 0.50/0.65 ( ( aElementOf0(W0,slbdtsldtrb0(xT,xk)) % 0.50/0.65 => ( aSet0(W0) % 0.50/0.65 & ! [W1] : % 0.50/0.65 ( aElementOf0(W1,W0) % 0.50/0.65 => aElementOf0(W1,xT) ) % 0.50/0.65 & aSubsetOf0(W0,xT) % 0.50/0.65 & sbrdtbr0(W0) = xk ) ) % 0.50/0.65 & ( ( ( ( aSet0(W0) % 0.50/0.65 & ! [W1] : % 0.50/0.65 ( aElementOf0(W1,W0) % 0.50/0.65 => aElementOf0(W1,xT) ) ) % 0.50/0.65 | aSubsetOf0(W0,xT) ) % 0.50/0.65 & sbrdtbr0(W0) = xk ) % 0.50/0.65 => aElementOf0(W0,slbdtsldtrb0(xT,xk)) ) ) % 0.50/0.65 & ! [W0] : % 0.50/0.65 ( aElementOf0(W0,slbdtsldtrb0(xS,xk)) % 0.50/0.65 => aElementOf0(W0,slbdtsldtrb0(xT,xk)) ) % 0.50/0.65 & aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)) % 0.50/0.65 & ~ ( ! [W0] : % 0.50/0.65 ( ( aElementOf0(W0,slbdtsldtrb0(xS,xk)) % 0.50/0.65 => ( aSet0(W0) % 0.50/0.65 & ! [W1] : % 0.50/0.65 ( aElementOf0(W1,W0) % 0.50/0.65 => aElementOf0(W1,xS) ) % 0.50/0.65 & aSubsetOf0(W0,xS) % 0.50/0.65 & sbrdtbr0(W0) = xk ) ) % 0.50/0.65 & ( ( ( ( aSet0(W0) % 0.50/0.65 & ! [W1] : % 0.50/0.65 ( aElementOf0(W1,W0) % 0.50/0.65 => aElementOf0(W1,xS) ) ) % 0.50/0.65 | aSubsetOf0(W0,xS) ) % 0.50/0.65 & sbrdtbr0(W0) = xk ) % 0.50/0.65 => aElementOf0(W0,slbdtsldtrb0(xS,xk)) ) ) % 0.50/0.65 => ( ~ ? [W0] : aElementOf0(W0,slbdtsldtrb0(xS,xk)) % 0.50/0.65 | slbdtsldtrb0(xS,xk) = slcrc0 ) ) ) ). % 0.50/0.65 % 0.50/0.65 fof(m__2256,hypothesis, % 0.50/0.65 aElementOf0(xx,xS) ). % 0.50/0.65 % 0.50/0.65 fof(m__,conjecture, % 0.50/0.65 ? [W0] : % 0.50/0.65 ( ( ( ( aSet0(W0) % 0.50/0.65 & ! [W1] : % 0.50/0.65 ( aElementOf0(W1,W0) % 0.50/0.65 => aElementOf0(W1,xS) ) ) % 0.50/0.65 | aSubsetOf0(W0,xS) ) % 0.50/0.65 & sbrdtbr0(W0) = xk ) % 0.50/0.65 | aElementOf0(W0,slbdtsldtrb0(xS,xk)) ) ). % 0.50/0.65 % 0.50/0.65 %------------------------------------------------------------------------------ % 0.50/0.65 %------------------------------------------- % 0.50/0.65 % Proof found % 0.50/0.65 % SZS status Theorem for theBenchmark % 0.50/0.65 % SZS output start Proof % 0.50/0.65 %ClaNum:192(EqnAxiom:52) % 0.50/0.65 %VarNum:764(SingletonVarNum:234) % 0.50/0.65 %MaxLitNum:8 % 0.50/0.65 %MaxfuncDepth:3 % 0.50/0.65 %SharedTerms:26 % 0.50/0.65 %goalClause: 68 78 90 99 % 0.50/0.65 %singleGoalClaCount:1 % 0.50/0.65 [54]P1(a24) % 0.50/0.65 [55]P1(a25) % 0.50/0.65 [56]P1(a29) % 0.50/0.65 [57]P4(a22) % 0.50/0.65 [58]P5(a24) % 0.50/0.65 [59]P2(a1,a24) % 0.50/0.65 [60]P2(a30,a24) % 0.50/0.65 [61]P2(a31,a25) % 0.50/0.65 [66]~E(a30,a1) % 0.50/0.65 [53]E(f2(a1),a22) % 0.50/0.65 [62]P1(f23(a25,a30)) % 0.50/0.65 [63]P1(f23(a29,a30)) % 0.50/0.65 [64]P2(a3,f23(a25,a30)) % 0.50/0.65 [65]P6(f23(a25,a30),f23(a29,a30)) % 0.50/0.65 [67]~E(f23(a25,a30),a22) % 0.50/0.65 [68]~P2(x681,f23(a25,a30)) % 0.50/0.65 [69]P1(x691)+~E(x691,a22) % 0.50/0.65 [75]~P1(x751)+P6(x751,x751) % 0.50/0.65 [83]~P2(x831,a24)+P8(a1,x831) % 0.50/0.65 [89]P8(x891,x891)+~P2(x891,a24) % 0.50/0.65 [73]~P1(x731)+P3(f9(x731)) % 0.50/0.65 [77]~P2(x771,a24)+~E(f26(x771),a1) % 0.50/0.65 [78]~P6(x781,a25)+~E(f9(x781),a30) % 0.50/0.65 [79]~P2(x791,a24)+~E(f26(x791),x791) % 0.50/0.65 [81]~P2(x811,a24)+P4(f2(x811)) % 0.50/0.65 [91]~P2(x911,a24)+P2(f26(x911),a24) % 0.50/0.65 [92]~P2(x921,a24)+P8(x921,f26(x921)) % 0.50/0.65 [93]~P2(x931,a24)+P7(x931,f26(x931)) % 0.50/0.65 [102]~P2(x1021,a24)+~P8(f26(x1021),a1) % 0.50/0.65 [113]~P2(x1131,f23(a29,a30))+E(f9(x1131),a30) % 0.50/0.65 [116]P1(x1161)+~P2(x1161,f23(a29,a30)) % 0.50/0.65 [132]P6(x1321,a29)+~P2(x1321,f23(a29,a30)) % 0.50/0.65 [82]~P2(x821,a24)+E(f9(f2(x821)),x821) % 0.50/0.65 [76]~P2(x762,x761)+~E(x761,a22) % 0.50/0.65 [72]~P1(x721)+~P5(x721)+~E(x721,a22) % 0.50/0.65 [74]~P4(x741)+~P5(x741)+~P1(x741) % 0.50/0.65 [70]~P1(x701)+~E(x701,a22)+E(f9(x701),a1) % 0.50/0.65 [71]~P1(x711)+E(x711,a22)+~E(f9(x711),a1) % 0.50/0.65 [80]~P1(x801)+P2(f10(x801),x801)+E(x801,a22) % 0.50/0.65 [86]~P1(x861)+~P4(x861)+P2(f9(x861),a24) % 0.50/0.65 [90]~P1(x901)+P2(f11(x901),x901)+~E(f9(x901),a30) % 0.50/0.65 [94]~P2(x941,a24)+E(x941,a1)+P2(f12(x941),a24) % 0.50/0.65 [95]~P1(x951)+P4(x951)+~P2(f9(x951),a24) % 0.50/0.65 [99]~P1(x991)+~P2(f11(x991),a25)+~E(f9(x991),a30) % 0.50/0.65 [101]~P4(x1011)+~P6(x1011,a24)+P2(f4(x1011),a24) % 0.50/0.65 [120]~P6(x1201,a29)+P2(x1201,f23(a29,a30))+~E(f9(x1201),a30) % 0.50/0.65 [84]~P2(x841,a24)+E(x841,a1)+E(f26(f12(x841)),x841) % 0.50/0.65 [117]~P4(x1171)+~P6(x1171,a24)+P6(x1171,f2(f4(x1171))) % 0.50/0.65 [87]~P6(x871,x872)+P1(x871)+~P1(x872) % 0.50/0.65 [88]~P2(x881,x882)+P3(x881)+~P1(x882) % 0.50/0.65 [85]P1(x851)+~P2(x852,a24)+~E(x851,f2(x852)) % 0.50/0.65 [160]~P2(x1601,x1602)+P2(x1601,a29)+~P2(x1602,f23(a29,a30)) % 0.50/0.65 [140]~P1(x1401)+~P2(x1402,x1401)+E(f20(f21(x1401,x1402),x1402),x1401) % 0.50/0.65 [136]~P1(x1361)+P2(f5(x1361),x1361)+P2(x1361,f23(a25,a30))+~E(f9(x1361),a30) % 0.50/0.65 [137]~P1(x1371)+P2(f7(x1371),x1371)+P2(x1371,f23(a29,a30))+~E(f9(x1371),a30) % 0.50/0.65 [138]~P1(x1381)+P2(f8(x1381),x1381)+P2(x1381,f23(a25,a30))+~E(f9(x1381),a30) % 0.50/0.65 [148]~P1(x1481)+P2(x1481,f23(a25,a30))+~E(f9(x1481),a30)+~P2(f5(x1481),a25) % 0.50/0.65 [149]~P1(x1491)+P2(x1491,f23(a25,a30))+~E(f9(x1491),a30)+~P2(f8(x1491),a25) % 0.50/0.65 [150]~P1(x1501)+P2(x1501,f23(a29,a30))+~E(f9(x1501),a30)+~P2(f7(x1501),a29) % 0.50/0.65 [96]~P4(x962)+~P6(x961,x962)+P4(x961)+~P1(x962) % 0.50/0.65 [100]P2(x1002,x1001)+~E(x1002,f27(x1001))+~P6(x1001,a24)+E(x1001,a22) % 0.50/0.65 [104]~P1(x1041)+~P3(x1042)+~P4(x1041)+P4(f20(x1041,x1042)) % 0.50/0.65 [105]~P1(x1051)+~P3(x1052)+~P4(x1051)+P4(f21(x1051,x1052)) % 0.50/0.65 [106]~P1(x1061)+~P3(x1062)+~P5(x1061)+P5(f20(x1061,x1062)) % 0.50/0.65 [107]~P1(x1071)+~P3(x1072)+~P5(x1071)+P5(f21(x1071,x1072)) % 0.50/0.65 [108]~P1(x1081)+P4(x1081)+~P2(x1082,a24)+~E(f23(x1081,x1082),a22) % 0.50/0.65 [110]E(x1101,x1102)+~E(f26(x1101),f26(x1102))+~P2(x1102,a24)+~P2(x1101,a24) % 0.50/0.65 [123]~P1(x1232)+~P4(x1232)+~P6(x1231,x1232)+P8(f9(x1231),f9(x1232)) % 0.50/0.65 [126]~P1(x1261)+~P4(x1261)+~P2(x1262,a24)+P4(f23(x1261,x1262)) % 0.50/0.65 [135]~P1(x1351)+~P1(x1352)+P6(x1351,x1352)+P2(f13(x1352,x1351),x1351) % 0.50/0.65 [144]P8(x1441,x1442)+P8(f26(x1442),x1441)+~P2(x1442,a24)+~P2(x1441,a24) % 0.50/0.65 [161]~P8(x1611,x1612)+~P2(x1612,a24)+~P2(x1611,a24)+P6(f2(x1611),f2(x1612)) % 0.50/0.65 [162]~P8(x1621,x1622)+~P2(x1622,a24)+~P2(x1621,a24)+P8(f26(x1621),f26(x1622)) % 0.50/0.65 [164]~P1(x1641)+~P1(x1642)+P6(x1641,x1642)+~P2(f13(x1642,x1641),x1642) % 0.50/0.65 [166]P8(x1661,x1662)+~P2(x1662,a24)+~P2(x1661,a24)+~P6(f2(x1661),f2(x1662)) % 0.50/0.65 [167]P8(x1671,x1672)+~P2(x1672,a24)+~P2(x1671,a24)+~P8(f26(x1671),f26(x1672)) % 0.50/0.65 [139]P2(x1392,x1391)+~P1(x1391)+~P3(x1392)+E(f21(f20(x1391,x1392),x1392),x1391) % 0.50/0.65 [146]~E(x1461,x1462)+~P2(x1462,a24)+~P2(x1461,a24)+P2(x1461,f2(f26(x1462))) % 0.50/0.65 [172]~P2(x1722,a24)+~P2(x1721,a24)+~P2(x1721,f2(x1722))+P2(x1721,f2(f26(x1722))) % 0.50/0.65 [171]~P1(x1711)+~P4(x1711)+~P2(x1712,x1711)+E(f26(f9(f21(x1711,x1712))),f9(x1711)) % 0.50/0.65 [133]~P1(x1332)+~P6(x1333,x1332)+P2(x1331,x1332)+~P2(x1331,x1333) % 0.50/0.65 [97]~P1(x972)+~P3(x973)+P1(x971)+~E(x971,f20(x972,x973)) % 0.50/0.65 [98]~P1(x982)+~P3(x983)+P1(x981)+~E(x981,f21(x982,x983)) % 0.50/0.65 [109]~P1(x1092)+P1(x1091)+~P2(x1093,a24)+~E(x1091,f23(x1092,x1093)) % 0.50/0.65 [124]~P2(x1241,x1242)+~P2(x1243,a24)+P2(x1241,a24)+~E(x1242,f2(x1243)) % 0.50/0.65 [141]~P2(x1411,x1413)+~P2(x1412,a24)+P8(f26(x1411),x1412)+~E(x1413,f2(x1412)) % 0.50/0.65 [121]~P1(x1212)+~P1(x1211)+~P6(x1212,x1211)+~P6(x1211,x1212)+E(x1211,x1212) % 0.50/0.65 [156]~P8(x1562,x1561)+~P8(x1561,x1562)+E(x1561,x1562)+~P2(x1562,a24)+~P2(x1561,a24) % 0.50/0.65 [103]~P4(x1031)+P2(x1032,x1031)+~E(x1032,f28(x1031))+~P6(x1031,a24)+E(x1031,a22) % 0.50/0.65 [129]~P1(x1292)+~P5(x1292)+~P2(x1291,a24)+E(x1291,a1)+P5(f23(x1292,x1291)) % 0.50/0.65 [163]~P2(x1632,x1631)+P2(f16(x1631,x1632),x1631)+~P6(x1631,a24)+E(x1631,a22)+E(x1632,f27(x1631)) % 0.50/0.65 [173]~P1(x1731)+~P4(x1731)+~P2(x1732,a24)+~P8(x1732,f9(x1731))+P6(f17(x1731,x1732),x1731) % 0.50/0.65 [174]~P1(x1741)+P2(f19(x1742,x1741),x1741)+~P2(x1742,a24)+E(x1741,f2(x1742))+P2(f19(x1742,x1741),a24) % 0.50/0.65 [175]~P2(x1752,x1751)+~P6(x1751,a24)+~P8(x1752,f16(x1751,x1752))+E(x1751,a22)+E(x1752,f27(x1751)) % 0.50/0.65 [145]P2(x1452,x1451)+~P1(x1451)+~P3(x1452)+~P4(x1451)+E(f9(f20(x1451,x1452)),f26(f9(x1451))) % 0.50/0.65 [170]~P1(x1701)+~P4(x1701)+~P2(x1702,a24)+~P8(x1702,f9(x1701))+E(f9(f17(x1701,x1702)),x1702) % 0.50/0.65 [176]E(x1761,x1762)+P2(x1761,f2(x1762))+~P2(x1762,a24)+~P2(x1761,a24)+~P2(x1761,f2(f26(x1762))) % 0.50/0.65 [180]~P1(x1801)+P2(f19(x1802,x1801),x1801)+~P2(x1802,a24)+E(x1801,f2(x1802))+P8(f26(f19(x1802,x1801)),x1802) % 0.50/0.65 [134]~P2(x1343,x1341)+P8(x1342,x1343)+~E(x1342,f27(x1341))+~P6(x1341,a24)+E(x1341,a22) % 0.50/0.65 [165]P2(x1651,x1652)+~P2(x1653,a24)+~P2(x1651,a24)+~P8(f26(x1651),x1653)+~E(x1652,f2(x1653)) % 0.50/0.65 [125]~P1(x1254)+~P3(x1252)+~P2(x1251,x1253)+~E(x1251,x1252)+~E(x1253,f21(x1254,x1252)) % 0.50/0.65 [127]~P1(x1273)+~P3(x1274)+~P2(x1271,x1272)+P3(x1271)+~E(x1272,f20(x1273,x1274)) % 0.50/0.65 [128]~P1(x1283)+~P3(x1284)+~P2(x1281,x1282)+P3(x1281)+~E(x1282,f21(x1283,x1284)) % 0.50/0.65 [143]~P1(x1432)+~P3(x1434)+~P2(x1431,x1433)+P2(x1431,x1432)+~E(x1433,f21(x1432,x1434)) % 0.50/0.65 [151]~P1(x1514)+~P2(x1511,x1513)+~P2(x1512,a24)+E(f9(x1511),x1512)+~E(x1513,f23(x1514,x1512)) % 0.50/0.65 [157]~P1(x1572)+~P2(x1571,x1573)+P6(x1571,x1572)+~P2(x1574,a24)+~E(x1573,f23(x1572,x1574)) % 0.50/0.65 [169]~P4(x1691)+~P2(x1692,x1691)+P2(f18(x1691,x1692),x1691)+~P6(x1691,a24)+E(x1691,a22)+E(x1692,f28(x1691)) % 0.50/0.65 [178]~P4(x1781)+~P2(x1782,x1781)+~P6(x1781,a24)+~P8(f18(x1781,x1782),x1782)+E(x1781,a22)+E(x1782,f28(x1781)) % 0.50/0.65 [184]~P1(x1841)+~P2(x1842,a24)+~P2(f19(x1842,x1841),x1841)+E(x1841,f2(x1842))+~P2(f19(x1842,x1841),a24)+~P8(f26(f19(x1842,x1841)),x1842) % 0.50/0.65 [152]~P1(x1522)+~P1(x1521)+~P6(x1523,x1522)+~P6(x1521,x1523)+P6(x1521,x1522)+~P1(x1523) % 0.50/0.65 [179]~P8(x1791,x1793)+P8(x1791,x1792)+~P8(x1793,x1792)+~P2(x1792,a24)+~P2(x1793,a24)+~P2(x1791,a24) % 0.50/0.65 [142]~P4(x1421)+~P2(x1422,x1421)+P8(x1422,x1423)+~E(x1423,f28(x1421))+~P6(x1421,a24)+E(x1421,a22) % 0.50/0.65 [181]~P1(x1811)+~P1(x1812)+~P3(x1813)+P2(f14(x1812,x1813,x1811),x1811)+~E(f14(x1812,x1813,x1811),x1813)+E(x1811,f21(x1812,x1813)) % 0.50/0.65 [182]~P1(x1821)+~P1(x1822)+~P3(x1823)+P2(f15(x1822,x1823,x1821),x1821)+E(x1821,f20(x1822,x1823))+P3(f15(x1822,x1823,x1821)) % 0.50/0.65 [183]~P1(x1831)+~P1(x1832)+~P3(x1833)+P2(f14(x1832,x1833,x1831),x1831)+E(x1831,f21(x1832,x1833))+P3(f14(x1832,x1833,x1831)) % 0.50/0.65 [185]~P1(x1851)+~P1(x1852)+~P3(x1853)+P2(f14(x1852,x1853,x1851),x1851)+P2(f14(x1852,x1853,x1851),x1852)+E(x1851,f21(x1852,x1853)) % 0.50/0.65 [187]~P1(x1871)+~P1(x1872)+P2(f6(x1872,x1873,x1871),x1871)+P6(f6(x1872,x1873,x1871),x1872)+~P2(x1873,a24)+E(x1871,f23(x1872,x1873)) % 0.50/0.65 [186]~P1(x1861)+~P1(x1862)+P2(f6(x1862,x1863,x1861),x1861)+~P2(x1863,a24)+E(x1861,f23(x1862,x1863))+E(f9(f6(x1862,x1863,x1861)),x1863) % 0.50/0.65 [122]~P1(x1224)+~P3(x1223)+~P3(x1221)+P2(x1221,x1222)+~E(x1221,x1223)+~E(x1222,f20(x1224,x1223)) % 0.50/0.65 [147]~P1(x1473)+~P3(x1472)+~P2(x1471,x1474)+E(x1471,x1472)+P2(x1471,x1473)+~E(x1474,f20(x1473,x1472)) % 0.50/0.65 [153]~P1(x1533)+~P3(x1534)+~P3(x1531)+~P2(x1531,x1533)+P2(x1531,x1532)+~E(x1532,f20(x1533,x1534)) % 0.50/0.65 [168]~P1(x1684)+~P6(x1681,x1684)+P2(x1681,x1682)+~P2(x1683,a24)+~E(x1682,f23(x1684,x1683))+~E(f9(x1681),x1683) % 0.50/0.65 [177]E(f27(x1772),f27(x1771))+~P6(x1771,a24)+~P6(x1772,a24)+~P2(f27(x1771),x1772)+~P2(f27(x1772),x1771)+E(x1771,a22)+E(x1772,a22) % 0.50/0.65 [188]~P1(x1881)+~P1(x1882)+~P3(x1883)+E(f15(x1882,x1883,x1881),x1883)+P2(f15(x1882,x1883,x1881),x1881)+P2(f15(x1882,x1883,x1881),x1882)+E(x1881,f20(x1882,x1883)) % 0.50/0.65 [189]~P1(x1891)+~P1(x1892)+~P3(x1893)+~E(f15(x1892,x1893,x1891),x1893)+~P2(f15(x1892,x1893,x1891),x1891)+E(x1891,f20(x1892,x1893))+~P3(f15(x1892,x1893,x1891)) % 0.50/0.65 [190]~P1(x1901)+~P1(x1902)+~P3(x1903)+~P2(f15(x1902,x1903,x1901),x1901)+~P2(f15(x1902,x1903,x1901),x1902)+E(x1901,f20(x1902,x1903))+~P3(f15(x1902,x1903,x1901)) % 0.50/0.65 [191]~P1(x1911)+~P1(x1912)+~P2(x1913,a24)+~P2(f6(x1912,x1913,x1911),x1911)+~P6(f6(x1912,x1913,x1911),x1912)+E(x1911,f23(x1912,x1913))+~E(f9(f6(x1912,x1913,x1911)),x1913) % 0.50/0.65 [154]~P1(x1544)+~P3(x1542)+~P3(x1541)+~P2(x1541,x1544)+E(x1541,x1542)+P2(x1541,x1543)+~E(x1543,f21(x1544,x1542)) % 0.50/0.65 [192]~P1(x1921)+~P1(x1922)+~P3(x1923)+E(f14(x1922,x1923,x1921),x1923)+~P2(f14(x1922,x1923,x1921),x1921)+~P2(f14(x1922,x1923,x1921),x1922)+E(x1921,f21(x1922,x1923))+~P3(f14(x1922,x1923,x1921)) % 0.50/0.65 %EqnAxiom % 0.50/0.65 [1]E(x11,x11) % 0.50/0.65 [2]E(x22,x21)+~E(x21,x22) % 0.50/0.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.50/0.65 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 0.50/0.65 [5]~E(x51,x52)+E(f23(x51,x53),f23(x52,x53)) % 0.50/0.65 [6]~E(x61,x62)+E(f23(x63,x61),f23(x63,x62)) % 0.50/0.65 [7]~E(x71,x72)+E(f15(x71,x73,x74),f15(x72,x73,x74)) % 0.50/0.65 [8]~E(x81,x82)+E(f15(x83,x81,x84),f15(x83,x82,x84)) % 0.50/0.65 [9]~E(x91,x92)+E(f15(x93,x94,x91),f15(x93,x94,x92)) % 0.50/0.65 [10]~E(x101,x102)+E(f16(x101,x103),f16(x102,x103)) % 0.50/0.65 [11]~E(x111,x112)+E(f16(x113,x111),f16(x113,x112)) % 0.50/0.65 [12]~E(x121,x122)+E(f20(x121,x123),f20(x122,x123)) % 0.50/0.65 [13]~E(x131,x132)+E(f20(x133,x131),f20(x133,x132)) % 0.50/0.65 [14]~E(x141,x142)+E(f6(x141,x143,x144),f6(x142,x143,x144)) % 0.50/0.65 [15]~E(x151,x152)+E(f6(x153,x151,x154),f6(x153,x152,x154)) % 0.50/0.65 [16]~E(x161,x162)+E(f6(x163,x164,x161),f6(x163,x164,x162)) % 0.50/0.65 [17]~E(x171,x172)+E(f26(x171),f26(x172)) % 0.50/0.65 [18]~E(x181,x182)+E(f17(x181,x183),f17(x182,x183)) % 0.50/0.65 [19]~E(x191,x192)+E(f17(x193,x191),f17(x193,x192)) % 0.50/0.65 [20]~E(x201,x202)+E(f9(x201),f9(x202)) % 0.50/0.65 [21]~E(x211,x212)+E(f5(x211),f5(x212)) % 0.50/0.65 [22]~E(x221,x222)+E(f19(x221,x223),f19(x222,x223)) % 0.50/0.65 [23]~E(x231,x232)+E(f19(x233,x231),f19(x233,x232)) % 0.50/0.65 [24]~E(x241,x242)+E(f27(x241),f27(x242)) % 0.50/0.65 [25]~E(x251,x252)+E(f13(x251,x253),f13(x252,x253)) % 0.50/0.65 [26]~E(x261,x262)+E(f13(x263,x261),f13(x263,x262)) % 0.50/0.65 [27]~E(x271,x272)+E(f8(x271),f8(x272)) % 0.50/0.65 [28]~E(x281,x282)+E(f10(x281),f10(x282)) % 0.50/0.65 [29]~E(x291,x292)+E(f14(x291,x293,x294),f14(x292,x293,x294)) % 0.50/0.65 [30]~E(x301,x302)+E(f14(x303,x301,x304),f14(x303,x302,x304)) % 0.50/0.65 [31]~E(x311,x312)+E(f14(x313,x314,x311),f14(x313,x314,x312)) % 0.50/0.65 [32]~E(x321,x322)+E(f21(x321,x323),f21(x322,x323)) % 0.50/0.65 [33]~E(x331,x332)+E(f21(x333,x331),f21(x333,x332)) % 0.50/0.65 [34]~E(x341,x342)+E(f28(x341),f28(x342)) % 0.50/0.65 [35]~E(x351,x352)+E(f12(x351),f12(x352)) % 0.50/0.65 [36]~E(x361,x362)+E(f18(x361,x363),f18(x362,x363)) % 0.50/0.65 [37]~E(x371,x372)+E(f18(x373,x371),f18(x373,x372)) % 0.50/0.65 [38]~E(x381,x382)+E(f7(x381),f7(x382)) % 0.50/0.65 [39]~E(x391,x392)+E(f11(x391),f11(x392)) % 0.50/0.65 [40]~E(x401,x402)+E(f4(x401),f4(x402)) % 0.50/0.65 [41]~P1(x411)+P1(x412)+~E(x411,x412) % 0.50/0.65 [42]P2(x422,x423)+~E(x421,x422)+~P2(x421,x423) % 0.50/0.65 [43]P2(x433,x432)+~E(x431,x432)+~P2(x433,x431) % 0.50/0.65 [44]~P4(x441)+P4(x442)+~E(x441,x442) % 0.50/0.65 [45]~P3(x451)+P3(x452)+~E(x451,x452) % 0.50/0.65 [46]~P5(x461)+P5(x462)+~E(x461,x462) % 0.50/0.65 [47]P8(x472,x473)+~E(x471,x472)+~P8(x471,x473) % 0.50/0.65 [48]P8(x483,x482)+~E(x481,x482)+~P8(x483,x481) % 0.50/0.65 [49]P6(x492,x493)+~E(x491,x492)+~P6(x491,x493) % 0.50/0.65 [50]P6(x503,x502)+~E(x501,x502)+~P6(x503,x501) % 0.50/0.65 [51]P7(x512,x513)+~E(x511,x512)+~P7(x511,x513) % 0.50/0.65 [52]P7(x523,x522)+~E(x521,x522)+~P7(x523,x521) % 0.50/0.65 % 0.50/0.65 %------------------------------------------- % 0.50/0.65 cnf(218,plain, % 0.50/0.65 ($false), % 0.50/0.65 inference(scs_inference,[],[68,64]), % 0.50/0.65 ['proof']). % 0.50/0.65 % SZS output end Proof % 0.50/0.65 % Total time :0.000000s %------------------------------------------------------------------------------