TSTP Solution File: NUM617+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM617+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n012.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 : Thu Aug 31 10:23:44 EDT 2023
% Result : Theorem 1.66s 1.73s
% Output : CNFRefutation 1.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM617+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 08:32:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 1.58/1.70 %-------------------------------------------
% 1.58/1.70 % File :CSE---1.6
% 1.58/1.70 % Problem :theBenchmark
% 1.58/1.70 % Transform :cnf
% 1.58/1.70 % Format :tptp:raw
% 1.58/1.70 % Command :java -jar mcs_scs.jar %d %s
% 1.58/1.70
% 1.58/1.70 % Result :Theorem 1.020000s
% 1.58/1.70 % Output :CNFRefutation 1.020000s
% 1.58/1.70 %-------------------------------------------
% 1.58/1.71 %------------------------------------------------------------------------------
% 1.58/1.71 % File : NUM617+1 : TPTP v8.1.2. Released v4.0.0.
% 1.58/1.71 % Domain : Number Theory
% 1.58/1.71 % Problem : Ramsey's Infinite Theorem 15_02_23_11_01, 00 expansion
% 1.58/1.71 % Version : Especial.
% 1.58/1.71 % English :
% 1.58/1.71
% 1.58/1.71 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 1.58/1.71 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 1.58/1.71 % Source : [Pas08]
% 1.58/1.71 % Names : ramsey_15_02_23_11_01.00 [Pas08]
% 1.58/1.71
% 1.58/1.71 % Status : Theorem
% 1.58/1.71 % Rating : 0.25 v8.1.0, 0.17 v7.5.0, 0.19 v7.4.0, 0.13 v7.3.0, 0.21 v7.1.0, 0.13 v6.4.0, 0.19 v6.3.0, 0.17 v6.2.0, 0.28 v6.1.0, 0.30 v5.4.0, 0.32 v5.3.0, 0.37 v5.2.0, 0.30 v5.1.0, 0.33 v5.0.0, 0.38 v4.1.0, 0.43 v4.0.1, 0.65 v4.0.0
% 1.58/1.71 % Syntax : Number of formulae : 114 ( 21 unt; 11 def)
% 1.58/1.71 % Number of atoms : 406 ( 74 equ)
% 1.58/1.71 % Maximal formula atoms : 12 ( 3 avg)
% 1.58/1.71 % Number of connectives : 317 ( 25 ~; 4 |; 131 &)
% 1.58/1.71 % ( 22 <=>; 135 =>; 0 <=; 0 <~>)
% 1.58/1.71 % Maximal formula depth : 15 ( 5 avg)
% 1.58/1.71 % Maximal term depth : 5 ( 1 avg)
% 1.58/1.71 % Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% 1.58/1.71 % Number of functors : 32 ( 32 usr; 18 con; 0-2 aty)
% 1.58/1.71 % Number of variables : 171 ( 159 !; 12 ?)
% 1.58/1.71 % SPC : FOF_THM_RFO_SEQ
% 1.58/1.71
% 1.58/1.71 % Comments : Problem generated by the SAD system [VLP07]
% 1.58/1.71 %------------------------------------------------------------------------------
% 1.58/1.71 fof(mSetSort,axiom,
% 1.58/1.71 ! [W0] :
% 1.58/1.71 ( aSet0(W0)
% 1.58/1.71 => $true ) ).
% 1.58/1.71
% 1.58/1.71 fof(mElmSort,axiom,
% 1.58/1.71 ! [W0] :
% 1.58/1.71 ( aElement0(W0)
% 1.58/1.71 => $true ) ).
% 1.58/1.71
% 1.58/1.71 fof(mEOfElem,axiom,
% 1.58/1.71 ! [W0] :
% 1.58/1.71 ( aSet0(W0)
% 1.58/1.71 => ! [W1] :
% 1.58/1.71 ( aElementOf0(W1,W0)
% 1.58/1.71 => aElement0(W1) ) ) ).
% 1.58/1.71
% 1.58/1.71 fof(mFinRel,axiom,
% 1.58/1.71 ! [W0] :
% 1.58/1.71 ( aSet0(W0)
% 1.58/1.71 => ( isFinite0(W0)
% 1.58/1.71 => $true ) ) ).
% 1.58/1.71
% 1.58/1.71 fof(mDefEmp,definition,
% 1.58/1.71 ! [W0] :
% 1.58/1.71 ( W0 = slcrc0
% 1.58/1.71 <=> ( aSet0(W0)
% 1.58/1.71 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ).
% 1.58/1.71
% 1.58/1.71 fof(mEmpFin,axiom,
% 1.58/1.71 isFinite0(slcrc0) ).
% 1.58/1.71
% 1.58/1.71 fof(mCntRel,axiom,
% 1.58/1.71 ! [W0] :
% 1.58/1.71 ( aSet0(W0)
% 1.58/1.71 => ( isCountable0(W0)
% 1.58/1.71 => $true ) ) ).
% 1.58/1.71
% 1.58/1.71 fof(mCountNFin,axiom,
% 1.58/1.71 ! [W0] :
% 1.58/1.71 ( ( aSet0(W0)
% 1.58/1.71 & isCountable0(W0) )
% 1.58/1.71 => ~ isFinite0(W0) ) ).
% 1.58/1.71
% 1.58/1.71 fof(mCountNFin_01,axiom,
% 1.58/1.71 ! [W0] :
% 1.58/1.71 ( ( aSet0(W0)
% 1.58/1.71 & isCountable0(W0) )
% 1.58/1.71 => W0 != slcrc0 ) ).
% 1.58/1.71
% 1.58/1.71 fof(mDefSub,definition,
% 1.58/1.71 ! [W0] :
% 1.58/1.71 ( aSet0(W0)
% 1.58/1.71 => ! [W1] :
% 1.58/1.71 ( aSubsetOf0(W1,W0)
% 1.58/1.71 <=> ( aSet0(W1)
% 1.58/1.71 & ! [W2] :
% 1.58/1.71 ( aElementOf0(W2,W1)
% 1.58/1.71 => aElementOf0(W2,W0) ) ) ) ) ).
% 1.58/1.71
% 1.58/1.71 fof(mSubFSet,axiom,
% 1.58/1.71 ! [W0] :
% 1.58/1.71 ( ( aSet0(W0)
% 1.58/1.71 & isFinite0(W0) )
% 1.58/1.71 => ! [W1] :
% 1.58/1.71 ( aSubsetOf0(W1,W0)
% 1.58/1.71 => isFinite0(W1) ) ) ).
% 1.58/1.71
% 1.58/1.71 fof(mSubRefl,axiom,
% 1.58/1.71 ! [W0] :
% 1.58/1.71 ( aSet0(W0)
% 1.58/1.71 => aSubsetOf0(W0,W0) ) ).
% 1.58/1.71
% 1.58/1.71 fof(mSubASymm,axiom,
% 1.58/1.71 ! [W0,W1] :
% 1.58/1.71 ( ( aSet0(W0)
% 1.58/1.71 & aSet0(W1) )
% 1.58/1.71 => ( ( aSubsetOf0(W0,W1)
% 1.58/1.71 & aSubsetOf0(W1,W0) )
% 1.58/1.71 => W0 = W1 ) ) ).
% 1.58/1.71
% 1.58/1.71 fof(mSubTrans,axiom,
% 1.58/1.71 ! [W0,W1,W2] :
% 1.58/1.71 ( ( aSet0(W0)
% 1.58/1.71 & aSet0(W1)
% 1.58/1.71 & aSet0(W2) )
% 1.58/1.71 => ( ( aSubsetOf0(W0,W1)
% 1.58/1.71 & aSubsetOf0(W1,W2) )
% 1.58/1.71 => aSubsetOf0(W0,W2) ) ) ).
% 1.58/1.71
% 1.58/1.71 fof(mDefCons,definition,
% 1.66/1.71 ! [W0,W1] :
% 1.66/1.71 ( ( aSet0(W0)
% 1.66/1.71 & aElement0(W1) )
% 1.66/1.71 => ! [W2] :
% 1.66/1.71 ( W2 = sdtpldt0(W0,W1)
% 1.66/1.71 <=> ( aSet0(W2)
% 1.66/1.71 & ! [W3] :
% 1.66/1.71 ( aElementOf0(W3,W2)
% 1.66/1.71 <=> ( aElement0(W3)
% 1.66/1.71 & ( aElementOf0(W3,W0)
% 1.66/1.71 | W3 = W1 ) ) ) ) ) ) ).
% 1.66/1.71
% 1.66/1.71 fof(mDefDiff,definition,
% 1.66/1.71 ! [W0,W1] :
% 1.66/1.71 ( ( aSet0(W0)
% 1.66/1.71 & aElement0(W1) )
% 1.66/1.71 => ! [W2] :
% 1.66/1.71 ( W2 = sdtmndt0(W0,W1)
% 1.66/1.71 <=> ( aSet0(W2)
% 1.66/1.71 & ! [W3] :
% 1.66/1.71 ( aElementOf0(W3,W2)
% 1.66/1.71 <=> ( aElement0(W3)
% 1.66/1.71 & aElementOf0(W3,W0)
% 1.66/1.71 & W3 != W1 ) ) ) ) ) ).
% 1.66/1.71
% 1.66/1.71 fof(mConsDiff,axiom,
% 1.66/1.71 ! [W0] :
% 1.66/1.71 ( aSet0(W0)
% 1.66/1.71 => ! [W1] :
% 1.66/1.71 ( aElementOf0(W1,W0)
% 1.66/1.71 => sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ) ).
% 1.66/1.71
% 1.66/1.71 fof(mDiffCons,axiom,
% 1.66/1.71 ! [W0,W1] :
% 1.66/1.71 ( ( aElement0(W0)
% 1.66/1.71 & aSet0(W1) )
% 1.66/1.71 => ( ~ aElementOf0(W0,W1)
% 1.66/1.71 => sdtmndt0(sdtpldt0(W1,W0),W0) = W1 ) ) ).
% 1.66/1.71
% 1.66/1.71 fof(mCConsSet,axiom,
% 1.66/1.71 ! [W0] :
% 1.66/1.71 ( aElement0(W0)
% 1.66/1.71 => ! [W1] :
% 1.66/1.71 ( ( aSet0(W1)
% 1.66/1.71 & isCountable0(W1) )
% 1.66/1.71 => isCountable0(sdtpldt0(W1,W0)) ) ) ).
% 1.66/1.71
% 1.66/1.71 fof(mCDiffSet,axiom,
% 1.66/1.71 ! [W0] :
% 1.66/1.71 ( aElement0(W0)
% 1.66/1.71 => ! [W1] :
% 1.66/1.71 ( ( aSet0(W1)
% 1.66/1.71 & isCountable0(W1) )
% 1.66/1.71 => isCountable0(sdtmndt0(W1,W0)) ) ) ).
% 1.66/1.71
% 1.66/1.71 fof(mFConsSet,axiom,
% 1.66/1.71 ! [W0] :
% 1.66/1.71 ( aElement0(W0)
% 1.66/1.71 => ! [W1] :
% 1.66/1.71 ( ( aSet0(W1)
% 1.66/1.71 & isFinite0(W1) )
% 1.66/1.71 => isFinite0(sdtpldt0(W1,W0)) ) ) ).
% 1.66/1.71
% 1.66/1.71 fof(mFDiffSet,axiom,
% 1.66/1.71 ! [W0] :
% 1.66/1.71 ( aElement0(W0)
% 1.66/1.71 => ! [W1] :
% 1.66/1.71 ( ( aSet0(W1)
% 1.66/1.71 & isFinite0(W1) )
% 1.66/1.71 => isFinite0(sdtmndt0(W1,W0)) ) ) ).
% 1.66/1.71
% 1.66/1.71 fof(mNATSet,axiom,
% 1.66/1.71 ( aSet0(szNzAzT0)
% 1.66/1.71 & isCountable0(szNzAzT0) ) ).
% 1.66/1.71
% 1.66/1.71 fof(mZeroNum,axiom,
% 1.66/1.72 aElementOf0(sz00,szNzAzT0) ).
% 1.66/1.72
% 1.66/1.72 fof(mSuccNum,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( aElementOf0(W0,szNzAzT0)
% 1.66/1.72 => ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
% 1.66/1.72 & szszuzczcdt0(W0) != sz00 ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mSuccEquSucc,axiom,
% 1.66/1.72 ! [W0,W1] :
% 1.66/1.72 ( ( aElementOf0(W0,szNzAzT0)
% 1.66/1.72 & aElementOf0(W1,szNzAzT0) )
% 1.66/1.72 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 1.66/1.72 => W0 = W1 ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mNatExtra,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( aElementOf0(W0,szNzAzT0)
% 1.66/1.72 => ( W0 = sz00
% 1.66/1.72 | ? [W1] :
% 1.66/1.72 ( aElementOf0(W1,szNzAzT0)
% 1.66/1.72 & W0 = szszuzczcdt0(W1) ) ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mNatNSucc,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( aElementOf0(W0,szNzAzT0)
% 1.66/1.72 => W0 != szszuzczcdt0(W0) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mLessRel,axiom,
% 1.66/1.72 ! [W0,W1] :
% 1.66/1.72 ( ( aElementOf0(W0,szNzAzT0)
% 1.66/1.72 & aElementOf0(W1,szNzAzT0) )
% 1.66/1.72 => ( sdtlseqdt0(W0,W1)
% 1.66/1.72 => $true ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mZeroLess,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( aElementOf0(W0,szNzAzT0)
% 1.66/1.72 => sdtlseqdt0(sz00,W0) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mNoScLessZr,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( aElementOf0(W0,szNzAzT0)
% 1.66/1.72 => ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mSuccLess,axiom,
% 1.66/1.72 ! [W0,W1] :
% 1.66/1.72 ( ( aElementOf0(W0,szNzAzT0)
% 1.66/1.72 & aElementOf0(W1,szNzAzT0) )
% 1.66/1.72 => ( sdtlseqdt0(W0,W1)
% 1.66/1.72 <=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mLessSucc,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( aElementOf0(W0,szNzAzT0)
% 1.66/1.72 => sdtlseqdt0(W0,szszuzczcdt0(W0)) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mLessRefl,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( aElementOf0(W0,szNzAzT0)
% 1.66/1.72 => sdtlseqdt0(W0,W0) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mLessASymm,axiom,
% 1.66/1.72 ! [W0,W1] :
% 1.66/1.72 ( ( aElementOf0(W0,szNzAzT0)
% 1.66/1.72 & aElementOf0(W1,szNzAzT0) )
% 1.66/1.72 => ( ( sdtlseqdt0(W0,W1)
% 1.66/1.72 & sdtlseqdt0(W1,W0) )
% 1.66/1.72 => W0 = W1 ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mLessTrans,axiom,
% 1.66/1.72 ! [W0,W1,W2] :
% 1.66/1.72 ( ( aElementOf0(W0,szNzAzT0)
% 1.66/1.72 & aElementOf0(W1,szNzAzT0)
% 1.66/1.72 & aElementOf0(W2,szNzAzT0) )
% 1.66/1.72 => ( ( sdtlseqdt0(W0,W1)
% 1.66/1.72 & sdtlseqdt0(W1,W2) )
% 1.66/1.72 => sdtlseqdt0(W0,W2) ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mLessTotal,axiom,
% 1.66/1.72 ! [W0,W1] :
% 1.66/1.72 ( ( aElementOf0(W0,szNzAzT0)
% 1.66/1.72 & aElementOf0(W1,szNzAzT0) )
% 1.66/1.72 => ( sdtlseqdt0(W0,W1)
% 1.66/1.72 | sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mIHSort,axiom,
% 1.66/1.72 ! [W0,W1] :
% 1.66/1.72 ( ( aElementOf0(W0,szNzAzT0)
% 1.66/1.72 & aElementOf0(W1,szNzAzT0) )
% 1.66/1.72 => ( iLess0(W0,W1)
% 1.66/1.72 => $true ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mIH,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( aElementOf0(W0,szNzAzT0)
% 1.66/1.72 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mCardS,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( aSet0(W0)
% 1.66/1.72 => aElement0(sbrdtbr0(W0)) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mCardNum,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( aSet0(W0)
% 1.66/1.72 => ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
% 1.66/1.72 <=> isFinite0(W0) ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mCardEmpty,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( aSet0(W0)
% 1.66/1.72 => ( sbrdtbr0(W0) = sz00
% 1.66/1.72 <=> W0 = slcrc0 ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mCardCons,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( ( aSet0(W0)
% 1.66/1.72 & isFinite0(W0) )
% 1.66/1.72 => ! [W1] :
% 1.66/1.72 ( aElement0(W1)
% 1.66/1.72 => ( ~ aElementOf0(W1,W0)
% 1.66/1.72 => sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mCardDiff,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( aSet0(W0)
% 1.66/1.72 => ! [W1] :
% 1.66/1.72 ( ( isFinite0(W0)
% 1.66/1.72 & aElementOf0(W1,W0) )
% 1.66/1.72 => szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mCardSub,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( aSet0(W0)
% 1.66/1.72 => ! [W1] :
% 1.66/1.72 ( ( isFinite0(W0)
% 1.66/1.72 & aSubsetOf0(W1,W0) )
% 1.66/1.72 => sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mCardSubEx,axiom,
% 1.66/1.72 ! [W0,W1] :
% 1.66/1.72 ( ( aSet0(W0)
% 1.66/1.72 & aElementOf0(W1,szNzAzT0) )
% 1.66/1.72 => ( ( isFinite0(W0)
% 1.66/1.72 & sdtlseqdt0(W1,sbrdtbr0(W0)) )
% 1.66/1.72 => ? [W2] :
% 1.66/1.72 ( aSubsetOf0(W2,W0)
% 1.66/1.72 & sbrdtbr0(W2) = W1 ) ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mDefMin,definition,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.66/1.72 & W0 != slcrc0 )
% 1.66/1.72 => ! [W1] :
% 1.66/1.72 ( W1 = szmzizndt0(W0)
% 1.66/1.72 <=> ( aElementOf0(W1,W0)
% 1.66/1.72 & ! [W2] :
% 1.66/1.72 ( aElementOf0(W2,W0)
% 1.66/1.72 => sdtlseqdt0(W1,W2) ) ) ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mDefMax,definition,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.66/1.72 & isFinite0(W0)
% 1.66/1.72 & W0 != slcrc0 )
% 1.66/1.72 => ! [W1] :
% 1.66/1.72 ( W1 = szmzazxdt0(W0)
% 1.66/1.72 <=> ( aElementOf0(W1,W0)
% 1.66/1.72 & ! [W2] :
% 1.66/1.72 ( aElementOf0(W2,W0)
% 1.66/1.72 => sdtlseqdt0(W2,W1) ) ) ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mMinMin,axiom,
% 1.66/1.72 ! [W0,W1] :
% 1.66/1.72 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.66/1.72 & aSubsetOf0(W1,szNzAzT0)
% 1.66/1.72 & W0 != slcrc0
% 1.66/1.72 & W1 != slcrc0 )
% 1.66/1.72 => ( ( aElementOf0(szmzizndt0(W0),W1)
% 1.66/1.72 & aElementOf0(szmzizndt0(W1),W0) )
% 1.66/1.72 => szmzizndt0(W0) = szmzizndt0(W1) ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mDefSeg,definition,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( aElementOf0(W0,szNzAzT0)
% 1.66/1.72 => ! [W1] :
% 1.66/1.72 ( W1 = slbdtrb0(W0)
% 1.66/1.72 <=> ( aSet0(W1)
% 1.66/1.72 & ! [W2] :
% 1.66/1.72 ( aElementOf0(W2,W1)
% 1.66/1.72 <=> ( aElementOf0(W2,szNzAzT0)
% 1.66/1.72 & sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mSegFin,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( aElementOf0(W0,szNzAzT0)
% 1.66/1.72 => isFinite0(slbdtrb0(W0)) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mSegZero,axiom,
% 1.66/1.72 slbdtrb0(sz00) = slcrc0 ).
% 1.66/1.72
% 1.66/1.72 fof(mSegSucc,axiom,
% 1.66/1.72 ! [W0,W1] :
% 1.66/1.72 ( ( aElementOf0(W0,szNzAzT0)
% 1.66/1.72 & aElementOf0(W1,szNzAzT0) )
% 1.66/1.72 => ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1)))
% 1.66/1.72 <=> ( aElementOf0(W0,slbdtrb0(W1))
% 1.66/1.72 | W0 = W1 ) ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mSegLess,axiom,
% 1.66/1.72 ! [W0,W1] :
% 1.66/1.72 ( ( aElementOf0(W0,szNzAzT0)
% 1.66/1.72 & aElementOf0(W1,szNzAzT0) )
% 1.66/1.72 => ( sdtlseqdt0(W0,W1)
% 1.66/1.72 <=> aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)) ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mFinSubSeg,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.66/1.72 & isFinite0(W0) )
% 1.66/1.72 => ? [W1] :
% 1.66/1.72 ( aElementOf0(W1,szNzAzT0)
% 1.66/1.72 & aSubsetOf0(W0,slbdtrb0(W1)) ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mCardSeg,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( aElementOf0(W0,szNzAzT0)
% 1.66/1.72 => sbrdtbr0(slbdtrb0(W0)) = W0 ) ).
% 1.66/1.72
% 1.66/1.72 fof(mDefSel,definition,
% 1.66/1.72 ! [W0,W1] :
% 1.66/1.72 ( ( aSet0(W0)
% 1.66/1.72 & aElementOf0(W1,szNzAzT0) )
% 1.66/1.72 => ! [W2] :
% 1.66/1.72 ( W2 = slbdtsldtrb0(W0,W1)
% 1.66/1.72 <=> ( aSet0(W2)
% 1.66/1.72 & ! [W3] :
% 1.66/1.72 ( aElementOf0(W3,W2)
% 1.66/1.72 <=> ( aSubsetOf0(W3,W0)
% 1.66/1.72 & sbrdtbr0(W3) = W1 ) ) ) ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mSelFSet,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( ( aSet0(W0)
% 1.66/1.72 & isFinite0(W0) )
% 1.66/1.72 => ! [W1] :
% 1.66/1.72 ( aElementOf0(W1,szNzAzT0)
% 1.66/1.72 => isFinite0(slbdtsldtrb0(W0,W1)) ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mSelNSet,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( ( aSet0(W0)
% 1.66/1.72 & ~ isFinite0(W0) )
% 1.66/1.72 => ! [W1] :
% 1.66/1.72 ( aElementOf0(W1,szNzAzT0)
% 1.66/1.72 => slbdtsldtrb0(W0,W1) != slcrc0 ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mSelCSet,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( ( aSet0(W0)
% 1.66/1.72 & isCountable0(W0) )
% 1.66/1.72 => ! [W1] :
% 1.66/1.72 ( ( aElementOf0(W1,szNzAzT0)
% 1.66/1.72 & W1 != sz00 )
% 1.66/1.72 => isCountable0(slbdtsldtrb0(W0,W1)) ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mSelSub,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( aElementOf0(W0,szNzAzT0)
% 1.66/1.72 => ! [W1,W2] :
% 1.66/1.72 ( ( aSet0(W1)
% 1.66/1.72 & aSet0(W2)
% 1.66/1.72 & W0 != sz00 )
% 1.66/1.72 => ( ( aSubsetOf0(slbdtsldtrb0(W1,W0),slbdtsldtrb0(W2,W0))
% 1.66/1.72 & slbdtsldtrb0(W1,W0) != slcrc0 )
% 1.66/1.72 => aSubsetOf0(W1,W2) ) ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mSelExtra,axiom,
% 1.66/1.72 ! [W0,W1] :
% 1.66/1.72 ( ( aSet0(W0)
% 1.66/1.72 & aElementOf0(W1,szNzAzT0) )
% 1.66/1.72 => ! [W2] :
% 1.66/1.72 ( ( aSubsetOf0(W2,slbdtsldtrb0(W0,W1))
% 1.66/1.72 & isFinite0(W2) )
% 1.66/1.72 => ? [W3] :
% 1.66/1.72 ( aSubsetOf0(W3,W0)
% 1.66/1.72 & isFinite0(W3)
% 1.66/1.72 & aSubsetOf0(W2,slbdtsldtrb0(W3,W1)) ) ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mFunSort,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( aFunction0(W0)
% 1.66/1.72 => $true ) ).
% 1.66/1.72
% 1.66/1.72 fof(mDomSet,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( aFunction0(W0)
% 1.66/1.72 => aSet0(szDzozmdt0(W0)) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mImgElm,axiom,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( aFunction0(W0)
% 1.66/1.72 => ! [W1] :
% 1.66/1.72 ( aElementOf0(W1,szDzozmdt0(W0))
% 1.66/1.72 => aElement0(sdtlpdtrp0(W0,W1)) ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mDefPtt,definition,
% 1.66/1.72 ! [W0,W1] :
% 1.66/1.72 ( ( aFunction0(W0)
% 1.66/1.72 & aElement0(W1) )
% 1.66/1.72 => ! [W2] :
% 1.66/1.72 ( W2 = sdtlbdtrb0(W0,W1)
% 1.66/1.72 <=> ( aSet0(W2)
% 1.66/1.72 & ! [W3] :
% 1.66/1.72 ( aElementOf0(W3,W2)
% 1.66/1.72 <=> ( aElementOf0(W3,szDzozmdt0(W0))
% 1.66/1.72 & sdtlpdtrp0(W0,W3) = W1 ) ) ) ) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mPttSet,axiom,
% 1.66/1.72 ! [W0,W1] :
% 1.66/1.72 ( ( aFunction0(W0)
% 1.66/1.72 & aElement0(W1) )
% 1.66/1.72 => aSubsetOf0(sdtlbdtrb0(W0,W1),szDzozmdt0(W0)) ) ).
% 1.66/1.72
% 1.66/1.72 fof(mDefSImg,definition,
% 1.66/1.72 ! [W0] :
% 1.66/1.72 ( aFunction0(W0)
% 1.66/1.72 => ! [W1] :
% 1.66/1.72 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 1.66/1.72 => ! [W2] :
% 1.66/1.73 ( W2 = sdtlcdtrc0(W0,W1)
% 1.66/1.73 <=> ( aSet0(W2)
% 1.66/1.73 & ! [W3] :
% 1.66/1.73 ( aElementOf0(W3,W2)
% 1.66/1.73 <=> ? [W4] :
% 1.66/1.73 ( aElementOf0(W4,W1)
% 1.66/1.73 & sdtlpdtrp0(W0,W4) = W3 ) ) ) ) ) ) ).
% 1.66/1.73
% 1.66/1.73 fof(mImgRng,axiom,
% 1.66/1.73 ! [W0] :
% 1.66/1.73 ( aFunction0(W0)
% 1.66/1.73 => ! [W1] :
% 1.66/1.73 ( aElementOf0(W1,szDzozmdt0(W0))
% 1.66/1.73 => aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))) ) ) ).
% 1.66/1.73
% 1.66/1.73 fof(mDefRst,definition,
% 1.66/1.73 ! [W0] :
% 1.66/1.73 ( aFunction0(W0)
% 1.66/1.73 => ! [W1] :
% 1.66/1.73 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 1.66/1.73 => ! [W2] :
% 1.66/1.73 ( W2 = sdtexdt0(W0,W1)
% 1.66/1.73 <=> ( aFunction0(W2)
% 1.66/1.73 & szDzozmdt0(W2) = W1
% 1.66/1.73 & ! [W3] :
% 1.66/1.73 ( aElementOf0(W3,W1)
% 1.66/1.73 => sdtlpdtrp0(W2,W3) = sdtlpdtrp0(W0,W3) ) ) ) ) ) ).
% 1.66/1.73
% 1.66/1.73 fof(mImgCount,axiom,
% 1.66/1.73 ! [W0] :
% 1.66/1.73 ( aFunction0(W0)
% 1.66/1.73 => ! [W1] :
% 1.66/1.73 ( ( aSubsetOf0(W1,szDzozmdt0(W0))
% 1.66/1.73 & isCountable0(W1) )
% 1.66/1.73 => ( ! [W2,W3] :
% 1.66/1.73 ( ( aElementOf0(W2,szDzozmdt0(W0))
% 1.66/1.73 & aElementOf0(W3,szDzozmdt0(W0))
% 1.66/1.73 & W2 != W3 )
% 1.66/1.73 => sdtlpdtrp0(W0,W2) != sdtlpdtrp0(W0,W3) )
% 1.66/1.73 => isCountable0(sdtlcdtrc0(W0,W1)) ) ) ) ).
% 1.66/1.73
% 1.66/1.73 fof(mDirichlet,axiom,
% 1.66/1.73 ! [W0] :
% 1.66/1.73 ( aFunction0(W0)
% 1.66/1.73 => ( ( isCountable0(szDzozmdt0(W0))
% 1.66/1.73 & isFinite0(sdtlcdtrc0(W0,szDzozmdt0(W0))) )
% 1.66/1.73 => ( aElement0(szDzizrdt0(W0))
% 1.66/1.73 & isCountable0(sdtlbdtrb0(W0,szDzizrdt0(W0))) ) ) ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__3291,hypothesis,
% 1.66/1.73 ( aSet0(xT)
% 1.66/1.73 & isFinite0(xT) ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__3418,hypothesis,
% 1.66/1.73 aElementOf0(xK,szNzAzT0) ).
% 1.66/1.73
% 1.66/1.73 fof(m__3435,hypothesis,
% 1.66/1.73 ( aSubsetOf0(xS,szNzAzT0)
% 1.66/1.73 & isCountable0(xS) ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__3453,hypothesis,
% 1.66/1.73 ( aFunction0(xc)
% 1.66/1.73 & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
% 1.66/1.73 & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__3398,hypothesis,
% 1.66/1.73 ! [W0] :
% 1.66/1.73 ( aElementOf0(W0,szNzAzT0)
% 1.66/1.73 => ! [W1] :
% 1.66/1.73 ( ( aSubsetOf0(W1,szNzAzT0)
% 1.66/1.73 & isCountable0(W1) )
% 1.66/1.73 => ! [W2] :
% 1.66/1.73 ( ( aFunction0(W2)
% 1.66/1.73 & szDzozmdt0(W2) = slbdtsldtrb0(W1,W0)
% 1.66/1.73 & aSubsetOf0(sdtlcdtrc0(W2,szDzozmdt0(W2)),xT) )
% 1.66/1.73 => ( iLess0(W0,xK)
% 1.66/1.73 => ? [W3] :
% 1.66/1.73 ( aElementOf0(W3,xT)
% 1.66/1.73 & ? [W4] :
% 1.66/1.73 ( aSubsetOf0(W4,W1)
% 1.66/1.73 & isCountable0(W4)
% 1.66/1.73 & ! [W5] :
% 1.66/1.73 ( aElementOf0(W5,slbdtsldtrb0(W4,W0))
% 1.66/1.73 => sdtlpdtrp0(W2,W5) = W3 ) ) ) ) ) ) ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__3462,hypothesis,
% 1.66/1.73 xK != sz00 ).
% 1.66/1.73
% 1.66/1.73 fof(m__3520,hypothesis,
% 1.66/1.73 xK != sz00 ).
% 1.66/1.73
% 1.66/1.73 fof(m__3533,hypothesis,
% 1.66/1.73 ( aElementOf0(xk,szNzAzT0)
% 1.66/1.73 & szszuzczcdt0(xk) = xK ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__3623,hypothesis,
% 1.66/1.73 ( aFunction0(xN)
% 1.66/1.73 & szDzozmdt0(xN) = szNzAzT0
% 1.66/1.73 & sdtlpdtrp0(xN,sz00) = xS
% 1.66/1.73 & ! [W0] :
% 1.66/1.73 ( aElementOf0(W0,szNzAzT0)
% 1.66/1.73 => ( ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
% 1.66/1.73 & isCountable0(sdtlpdtrp0(xN,W0)) )
% 1.66/1.73 => ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 1.66/1.73 & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__3671,hypothesis,
% 1.66/1.73 ! [W0] :
% 1.66/1.73 ( aElementOf0(W0,szNzAzT0)
% 1.66/1.73 => ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
% 1.66/1.73 & isCountable0(sdtlpdtrp0(xN,W0)) ) ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__3754,hypothesis,
% 1.66/1.73 ! [W0,W1] :
% 1.66/1.73 ( ( aElementOf0(W0,szNzAzT0)
% 1.66/1.73 & aElementOf0(W1,szNzAzT0) )
% 1.66/1.73 => ( sdtlseqdt0(W1,W0)
% 1.66/1.73 => aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__3821,hypothesis,
% 1.66/1.73 ! [W0,W1] :
% 1.66/1.73 ( ( aElementOf0(W0,szNzAzT0)
% 1.66/1.73 & aElementOf0(W1,szNzAzT0)
% 1.66/1.73 & W0 != W1 )
% 1.66/1.73 => szmzizndt0(sdtlpdtrp0(xN,W0)) != szmzizndt0(sdtlpdtrp0(xN,W1)) ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__3965,hypothesis,
% 1.66/1.73 ! [W0] :
% 1.66/1.73 ( aElementOf0(W0,szNzAzT0)
% 1.66/1.73 => ! [W1] :
% 1.66/1.73 ( ( aSet0(W1)
% 1.66/1.73 & aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) )
% 1.66/1.73 => aElementOf0(sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))),slbdtsldtrb0(xS,xK)) ) ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__4151,hypothesis,
% 1.66/1.73 ( aFunction0(xC)
% 1.66/1.73 & szDzozmdt0(xC) = szNzAzT0
% 1.66/1.73 & ! [W0] :
% 1.66/1.73 ( aElementOf0(W0,szNzAzT0)
% 1.66/1.73 => ( aFunction0(sdtlpdtrp0(xC,W0))
% 1.66/1.73 & szDzozmdt0(sdtlpdtrp0(xC,W0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)
% 1.66/1.73 & ! [W1] :
% 1.66/1.73 ( ( aSet0(W1)
% 1.66/1.73 & aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) )
% 1.66/1.73 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) = sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) ) ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__4182,hypothesis,
% 1.66/1.73 ! [W0] :
% 1.66/1.73 ( aElementOf0(W0,szNzAzT0)
% 1.66/1.73 => aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,W0),szDzozmdt0(sdtlpdtrp0(xC,W0))),xT) ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__4331,hypothesis,
% 1.66/1.73 ! [W0] :
% 1.66/1.73 ( aElementOf0(W0,szNzAzT0)
% 1.66/1.73 => ! [W1] :
% 1.66/1.73 ( ( aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 1.66/1.73 & isCountable0(W1) )
% 1.66/1.73 => ! [W2] :
% 1.66/1.73 ( ( aSet0(W2)
% 1.66/1.73 & aElementOf0(W2,slbdtsldtrb0(W1,xk)) )
% 1.66/1.73 => aElementOf0(W2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) ) ) ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__4411,hypothesis,
% 1.66/1.73 ! [W0] :
% 1.66/1.73 ( aElementOf0(W0,szNzAzT0)
% 1.66/1.73 => ? [W1] :
% 1.66/1.73 ( aElementOf0(W1,xT)
% 1.66/1.73 & ? [W2] :
% 1.66/1.73 ( aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 1.66/1.73 & isCountable0(W2)
% 1.66/1.73 & ! [W3] :
% 1.66/1.73 ( ( aSet0(W3)
% 1.66/1.73 & aElementOf0(W3,slbdtsldtrb0(W2,xk)) )
% 1.66/1.73 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W3) = W1 ) ) ) ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__4618,hypothesis,
% 1.66/1.73 ! [W0] :
% 1.66/1.73 ( aElementOf0(W0,szNzAzT0)
% 1.66/1.73 => ? [W1] :
% 1.66/1.73 ( aElementOf0(W1,xT)
% 1.66/1.73 & ! [W2] :
% 1.66/1.73 ( ( aSet0(W2)
% 1.66/1.73 & aElementOf0(W2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) )
% 1.66/1.73 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W2) = W1 ) ) ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__4660,hypothesis,
% 1.66/1.73 ( aFunction0(xe)
% 1.66/1.73 & szDzozmdt0(xe) = szNzAzT0
% 1.66/1.73 & ! [W0] :
% 1.66/1.73 ( aElementOf0(W0,szNzAzT0)
% 1.66/1.73 => sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__4730,hypothesis,
% 1.66/1.73 ( aFunction0(xd)
% 1.66/1.73 & szDzozmdt0(xd) = szNzAzT0
% 1.66/1.73 & ! [W0] :
% 1.66/1.73 ( aElementOf0(W0,szNzAzT0)
% 1.66/1.73 => ! [W1] :
% 1.66/1.73 ( ( aSet0(W1)
% 1.66/1.73 & aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) )
% 1.66/1.73 => sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) ) ) ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__4758,hypothesis,
% 1.66/1.73 aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ).
% 1.66/1.73
% 1.66/1.73 fof(m__4854,hypothesis,
% 1.66/1.73 ( aElementOf0(szDzizrdt0(xd),xT)
% 1.66/1.73 & isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__4891,hypothesis,
% 1.66/1.73 ( aSet0(xO)
% 1.66/1.73 & xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__4908,hypothesis,
% 1.66/1.73 ( aSet0(xO)
% 1.66/1.73 & isCountable0(xO) ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__4982,hypothesis,
% 1.66/1.73 ! [W0] :
% 1.66/1.73 ( aElementOf0(W0,xO)
% 1.66/1.73 => ? [W1] :
% 1.66/1.73 ( aElementOf0(W1,szNzAzT0)
% 1.66/1.73 & aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
% 1.66/1.73 & sdtlpdtrp0(xe,W1) = W0 ) ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__4998,hypothesis,
% 1.66/1.73 aSubsetOf0(xO,xS) ).
% 1.66/1.73
% 1.66/1.73 fof(m__5078,hypothesis,
% 1.66/1.73 aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ).
% 1.66/1.73
% 1.66/1.73 fof(m__5093,hypothesis,
% 1.66/1.73 ( aSubsetOf0(xQ,xO)
% 1.66/1.73 & xQ != slcrc0 ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__5106,hypothesis,
% 1.66/1.73 aSubsetOf0(xQ,szNzAzT0) ).
% 1.66/1.73
% 1.66/1.73 fof(m__5116,hypothesis,
% 1.66/1.73 aElementOf0(xQ,szDzozmdt0(xc)) ).
% 1.66/1.73
% 1.66/1.73 fof(m__5147,hypothesis,
% 1.66/1.73 xp = szmzizndt0(xQ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__5164,hypothesis,
% 1.66/1.73 ( aSet0(xP)
% 1.66/1.73 & xP = sdtmndt0(xQ,szmzizndt0(xQ)) ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__5173,hypothesis,
% 1.66/1.73 aElementOf0(xp,xQ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__5182,hypothesis,
% 1.66/1.73 aElementOf0(xp,xO) ).
% 1.66/1.73
% 1.66/1.73 fof(m__5195,hypothesis,
% 1.66/1.73 aSubsetOf0(xP,xQ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__5208,hypothesis,
% 1.66/1.73 aSubsetOf0(xP,xO) ).
% 1.66/1.73
% 1.66/1.73 fof(m__5217,hypothesis,
% 1.66/1.73 sbrdtbr0(xP) = xk ).
% 1.66/1.73
% 1.66/1.73 fof(m__5270,hypothesis,
% 1.66/1.73 aElementOf0(xP,slbdtsldtrb0(xO,xk)) ).
% 1.66/1.73
% 1.66/1.73 fof(m__5309,hypothesis,
% 1.66/1.73 ( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
% 1.66/1.73 & aElementOf0(xn,szNzAzT0)
% 1.66/1.73 & sdtlpdtrp0(xe,xn) = xp ) ).
% 1.66/1.73
% 1.66/1.73 fof(m__5321,hypothesis,
% 1.66/1.73 sdtlpdtrp0(xd,xn) = szDzizrdt0(xd) ).
% 1.66/1.73
% 1.66/1.73 fof(m__5348,hypothesis,
% 1.66/1.73 aElementOf0(xx,xP) ).
% 1.66/1.73
% 1.66/1.73 fof(m__,conjecture,
% 1.66/1.73 aElementOf0(xx,szNzAzT0) ).
% 1.66/1.73
% 1.66/1.73 %------------------------------------------------------------------------------
% 1.66/1.73 %-------------------------------------------
% 1.66/1.73 % Proof found
% 1.66/1.73 % SZS status Theorem for theBenchmark
% 1.66/1.73 % SZS output start Proof
% 1.66/1.73 %ClaNum:305(EqnAxiom:92)
% 1.66/1.73 %VarNum:1229(SingletonVarNum:358)
% 1.66/1.73 %MaxLitNum:9
% 1.66/1.73 %MaxfuncDepth:4
% 1.66/1.73 %SharedTerms:91
% 1.66/1.73 %goalClause: 146
% 1.66/1.73 %singleGoalClaCount:1
% 1.66/1.73 [101]P1(a41)
% 1.66/1.73 [102]P1(a53)
% 1.66/1.73 [104]P1(a48)
% 1.66/1.73 [105]P1(a46)
% 1.66/1.73 [106]P5(a37)
% 1.66/1.73 [107]P5(a53)
% 1.66/1.73 [108]P6(a41)
% 1.66/1.73 [109]P6(a54)
% 1.66/1.73 [110]P6(a48)
% 1.66/1.73 [111]P2(a55)
% 1.66/1.73 [112]P2(a47)
% 1.66/1.73 [113]P2(a45)
% 1.66/1.73 [114]P2(a51)
% 1.66/1.73 [115]P2(a52)
% 1.66/1.73 [118]P3(a29,a41)
% 1.66/1.73 [119]P3(a44,a41)
% 1.66/1.73 [120]P3(a50,a41)
% 1.66/1.73 [121]P3(a49,a48)
% 1.66/1.73 [122]P3(a49,a1)
% 1.66/1.73 [123]P3(a56,a41)
% 1.66/1.73 [124]P3(a57,a46)
% 1.66/1.73 [125]P7(a54,a41)
% 1.66/1.73 [126]P7(a48,a54)
% 1.66/1.73 [127]P7(a1,a41)
% 1.66/1.73 [128]P7(a1,a48)
% 1.66/1.73 [129]P7(a46,a48)
% 1.66/1.73 [130]P7(a46,a1)
% 1.66/1.73 [144]~E(a29,a44)
% 1.66/1.73 [145]~E(a37,a1)
% 1.66/1.73 [146]~P3(a57,a41)
% 1.66/1.73 [93]E(f2(a1),a49)
% 1.66/1.73 [94]E(f43(a50),a44)
% 1.66/1.73 [95]E(f3(a46),a50)
% 1.66/1.73 [96]E(f30(a29),a37)
% 1.66/1.73 [97]E(f39(a47),a41)
% 1.66/1.73 [98]E(f39(a45),a41)
% 1.66/1.73 [99]E(f39(a51),a41)
% 1.66/1.73 [100]E(f39(a52),a41)
% 1.66/1.73 [116]E(f31(a47,a29),a54)
% 1.66/1.73 [117]E(f31(a51,a56),a49)
% 1.66/1.73 [131]E(f38(a54,a44),f39(a55))
% 1.66/1.73 [132]E(f31(a52,a56),f40(a52))
% 1.66/1.73 [134]P3(a1,f39(a55))
% 1.66/1.73 [135]P3(f40(a52),a53)
% 1.66/1.73 [136]P3(a1,f38(a48,a44))
% 1.66/1.73 [137]P3(a46,f38(a48,a50))
% 1.66/1.73 [133]E(f35(a1,f2(a1)),a46)
% 1.66/1.73 [138]P6(f32(a52,f40(a52)))
% 1.66/1.73 [140]P3(a56,f32(a52,f40(a52)))
% 1.66/1.73 [141]P7(f34(a55,f39(a55)),a53)
% 1.66/1.73 [142]P7(f34(a52,f39(a52)),a53)
% 1.66/1.73 [139]E(f34(a51,f32(a52,f40(a52))),a48)
% 1.66/1.73 [147]P1(x1471)+~E(x1471,a37)
% 1.66/1.73 [154]~P1(x1541)+P7(x1541,x1541)
% 1.66/1.73 [162]~P3(x1621,a41)+P9(a29,x1621)
% 1.66/1.73 [168]P9(x1681,x1681)+~P3(x1681,a41)
% 1.66/1.73 [151]~P2(x1511)+P1(f39(x1511))
% 1.66/1.73 [152]~P1(x1521)+P4(f3(x1521))
% 1.66/1.73 [156]~P3(x1561,a41)+~E(f43(x1561),a29)
% 1.66/1.73 [157]~P3(x1571,a41)+~E(f43(x1571),x1571)
% 1.66/1.73 [159]~P3(x1591,a41)+P5(f30(x1591))
% 1.66/1.73 [160]~P3(x1601,a41)+P6(f15(x1601))
% 1.66/1.73 [169]~P3(x1691,a41)+P3(f43(x1691),a41)
% 1.66/1.73 [170]~P3(x1701,a41)+P3(f16(x1701),a53)
% 1.66/1.73 [171]~P3(x1711,a41)+P3(f20(x1711),a53)
% 1.66/1.73 [172]~P3(x1721,a48)+P3(f21(x1721),a41)
% 1.66/1.73 [174]~P3(x1741,a41)+P9(x1741,f43(x1741))
% 1.66/1.73 [175]~P3(x1751,a41)+P8(x1751,f43(x1751))
% 1.66/1.73 [184]~P3(x1841,a41)+P6(f31(a47,x1841))
% 1.66/1.73 [185]~P3(x1851,a41)+P2(f31(a45,x1851))
% 1.66/1.73 [186]~P3(x1861,a41)+~P9(f43(x1861),a29)
% 1.66/1.73 [194]~P3(x1941,a41)+P7(f31(a47,x1941),a41)
% 1.66/1.73 [161]~P3(x1611,a41)+E(f3(f30(x1611)),x1611)
% 1.66/1.73 [173]~P3(x1731,a48)+E(f31(a51,f21(x1731)),x1731)
% 1.66/1.73 [196]~P3(x1961,a41)+E(f2(f31(a47,x1961)),f31(a51,x1961))
% 1.66/1.73 [214]~P3(x2141,a48)+P3(f21(x2141),f32(a52,f40(a52)))
% 1.66/1.73 [269]~P3(x2691,a41)+P7(f34(f31(a45,x2691),f39(f31(a45,x2691))),a53)
% 1.66/1.73 [271]~P3(x2711,a41)+P7(f15(x2711),f35(f31(a47,x2711),f2(f31(a47,x2711))))
% 1.66/1.73 [273]~P3(x2731,a41)+E(f38(f35(f31(a47,x2731),f2(f31(a47,x2731))),a50),f39(f31(a45,x2731)))
% 1.66/1.73 [155]~P3(x1552,x1551)+~E(x1551,a37)
% 1.66/1.73 [150]~P1(x1501)+~P6(x1501)+~E(x1501,a37)
% 1.66/1.73 [153]~P5(x1531)+~P6(x1531)+~P1(x1531)
% 1.66/1.73 [148]~P1(x1481)+~E(x1481,a37)+E(f3(x1481),a29)
% 1.66/1.73 [149]~P1(x1491)+E(x1491,a37)+~E(f3(x1491),a29)
% 1.66/1.73 [158]~P1(x1581)+P3(f4(x1581),x1581)+E(x1581,a37)
% 1.66/1.73 [165]~P1(x1651)+~P5(x1651)+P3(f3(x1651),a41)
% 1.66/1.73 [176]~P3(x1761,a41)+E(x1761,a29)+P3(f19(x1761),a41)
% 1.66/1.73 [177]~P1(x1771)+P5(x1771)+~P3(f3(x1771),a41)
% 1.66/1.73 [183]~P5(x1831)+~P7(x1831,a41)+P3(f5(x1831),a41)
% 1.66/1.73 [163]~P3(x1631,a41)+E(x1631,a29)+E(f43(f19(x1631)),x1631)
% 1.66/1.73 [197]~P5(x1971)+~P7(x1971,a41)+P7(x1971,f30(f5(x1971)))
% 1.66/1.73 [166]~P7(x1661,x1662)+P1(x1661)+~P1(x1662)
% 1.66/1.73 [167]~P3(x1671,x1672)+P4(x1671)+~P1(x1672)
% 1.66/1.73 [164]P1(x1641)+~P3(x1642,a41)+~E(x1641,f30(x1642))
% 1.66/1.73 [198]~P4(x1982)+~P2(x1981)+P7(f32(x1981,x1982),f39(x1981))
% 1.66/1.73 [215]~P2(x2151)+~P3(x2152,f39(x2151))+P4(f31(x2151,x2152))
% 1.66/1.73 [217]~P1(x2171)+~P3(x2172,x2171)+E(f36(f35(x2171,x2172),x2172),x2171)
% 1.66/1.73 [253]~P2(x2531)+~P3(x2532,f39(x2531))+P3(f31(x2531,x2532),f34(x2531,f39(x2531)))
% 1.66/1.73 [243]~P2(x2431)+~P6(f39(x2431))+P4(f40(x2431))+~P5(f34(x2431,f39(x2431)))
% 1.66/1.73 [262]~P2(x2621)+~P6(f39(x2621))+~P5(f34(x2621,f39(x2621)))+P6(f32(x2621,f40(x2621)))
% 1.66/1.73 [266]~P3(x2661,a41)+~P7(f31(a47,x2661),a41)+~P6(f31(a47,x2661))+P6(f31(a47,f43(x2661)))
% 1.66/1.73 [290]~P3(x2901,a41)+~P7(f31(a47,x2901),a41)+~P6(f31(a47,x2901))+P7(f31(a47,f43(x2901)),f35(f31(a47,x2901),f2(f31(a47,x2901))))
% 1.66/1.73 [178]~P5(x1782)+~P7(x1781,x1782)+P5(x1781)+~P1(x1782)
% 1.66/1.73 [182]P3(x1822,x1821)+~E(x1822,f2(x1821))+~P7(x1821,a41)+E(x1821,a37)
% 1.66/1.73 [188]~P1(x1881)+~P4(x1882)+~P5(x1881)+P5(f36(x1881,x1882))
% 1.66/1.73 [189]~P1(x1891)+~P4(x1892)+~P5(x1891)+P5(f35(x1891,x1892))
% 1.66/1.73 [190]~P1(x1901)+~P4(x1902)+~P6(x1901)+P6(f36(x1901,x1902))
% 1.66/1.73 [191]~P1(x1911)+~P4(x1912)+~P6(x1911)+P6(f35(x1911,x1912))
% 1.66/1.73 [192]~P1(x1921)+P5(x1921)+~P3(x1922,a41)+~E(f38(x1921,x1922),a37)
% 1.66/1.73 [195]E(x1951,x1952)+~E(f43(x1951),f43(x1952))+~P3(x1952,a41)+~P3(x1951,a41)
% 1.66/1.73 [201]~P1(x2012)+~P5(x2012)+~P7(x2011,x2012)+P9(f3(x2011),f3(x2012))
% 1.66/1.73 [204]~P1(x2041)+~P5(x2041)+~P3(x2042,a41)+P5(f38(x2041,x2042))
% 1.66/1.73 [213]~P1(x2131)+~P1(x2132)+P7(x2131,x2132)+P3(f22(x2132,x2131),x2131)
% 1.66/1.73 [221]P9(x2211,x2212)+P9(f43(x2212),x2211)+~P3(x2212,a41)+~P3(x2211,a41)
% 1.66/1.73 [233]~P9(x2331,x2332)+~P3(x2332,a41)+~P3(x2331,a41)+P7(f30(x2331),f30(x2332))
% 1.66/1.73 [234]~P9(x2341,x2342)+~P3(x2342,a41)+~P3(x2341,a41)+P9(f43(x2341),f43(x2342))
% 1.66/1.73 [236]~P1(x2361)+~P1(x2362)+P7(x2361,x2362)+~P3(f22(x2362,x2361),x2362)
% 1.66/1.73 [238]P9(x2381,x2382)+~P3(x2382,a41)+~P3(x2381,a41)+~P7(f30(x2381),f30(x2382))
% 1.66/1.73 [239]P9(x2391,x2392)+~P3(x2392,a41)+~P3(x2391,a41)+~P9(f43(x2391),f43(x2392))
% 1.66/1.73 [257]~P9(x2572,x2571)+~P3(x2572,a41)+~P3(x2571,a41)+P7(f31(a47,x2571),f31(a47,x2572))
% 1.66/1.73 [216]P3(x2162,x2161)+~P1(x2161)+~P4(x2162)+E(f35(f36(x2161,x2162),x2162),x2161)
% 1.66/1.73 [224]~E(x2241,x2242)+~P3(x2242,a41)+~P3(x2241,a41)+P3(x2241,f30(f43(x2242)))
% 1.66/1.73 [245]~P3(x2452,a41)+~P3(x2451,a41)+~P3(x2451,f30(x2452))+P3(x2451,f30(f43(x2452)))
% 1.66/1.73 [261]E(x2611,x2612)+~P3(x2612,a41)+~P3(x2611,a41)+~E(f2(f31(a47,x2611)),f2(f31(a47,x2612)))
% 1.66/1.73 [264]~P1(x2642)+~P3(x2641,a41)+E(f31(f31(a45,x2641),x2642),f16(x2641))+~P3(x2642,f38(f15(x2641),a50))
% 1.66/1.73 [244]~P1(x2441)+~P5(x2441)+~P3(x2442,x2441)+E(f43(f3(f35(x2441,x2442))),f3(x2441))
% 1.66/1.73 [274]~P1(x2742)+~P3(x2741,a41)+E(f31(f31(a45,x2741),x2742),f20(x2741))+~P3(x2742,f38(f31(a47,f43(x2741)),a50))
% 1.66/1.73 [276]~P1(x2762)+~P3(x2761,a41)+E(f31(f31(a45,x2761),x2762),f31(a52,x2761))+~P3(x2762,f38(f31(a47,f43(x2761)),a50))
% 1.66/1.73 [304]~P1(x3041)+~P3(x3042,a41)+P3(f36(x3041,f2(f31(a47,x3042))),f38(a54,a44))+~P3(x3041,f38(f35(f31(a47,x3042),f2(f31(a47,x3042))),a50))
% 1.66/1.73 [305]~P1(x3051)+~P3(x3052,a41)+~P3(x3051,f38(f35(f31(a47,x3052),f2(f31(a47,x3052))),a50))+E(f31(a55,f36(x3051,f2(f31(a47,x3052)))),f31(f31(a45,x3052),x3051))
% 1.66/1.73 [208]~P1(x2082)+~P7(x2083,x2082)+P3(x2081,x2082)+~P3(x2081,x2083)
% 1.66/1.73 [179]~P1(x1792)+~P4(x1793)+P1(x1791)+~E(x1791,f36(x1792,x1793))
% 1.66/1.73 [180]~P1(x1802)+~P4(x1803)+P1(x1801)+~E(x1801,f35(x1802,x1803))
% 1.66/1.73 [181]~P4(x1813)+~P2(x1812)+P1(x1811)+~E(x1811,f32(x1812,x1813))
% 1.66/1.73 [193]~P1(x1932)+P1(x1931)+~P3(x1933,a41)+~E(x1931,f38(x1932,x1933))
% 1.66/1.73 [202]~P3(x2021,x2022)+~P3(x2023,a41)+P3(x2021,a41)+~E(x2022,f30(x2023))
% 1.66/1.73 [210]~P2(x2102)+P1(x2101)+~P7(x2103,f39(x2102))+~E(x2101,f34(x2102,x2103))
% 1.66/1.73 [211]~P2(x2112)+P2(x2111)+~P7(x2113,f39(x2112))+~E(x2111,f33(x2112,x2113))
% 1.66/1.73 [212]~P2(x2123)+~P7(x2122,f39(x2123))+E(f39(x2121),x2122)+~E(x2121,f33(x2123,x2122))
% 1.66/1.73 [218]~P3(x2181,x2183)+~P3(x2182,a41)+P9(f43(x2181),x2182)+~E(x2183,f30(x2182))
% 1.66/1.73 [199]~P1(x1992)+~P1(x1991)+~P7(x1992,x1991)+~P7(x1991,x1992)+E(x1991,x1992)
% 1.66/1.73 [231]~P9(x2312,x2311)+~P9(x2311,x2312)+E(x2311,x2312)+~P3(x2312,a41)+~P3(x2311,a41)
% 1.66/1.73 [187]~P5(x1871)+P3(x1872,x1871)+~E(x1872,f42(x1871))+~P7(x1871,a41)+E(x1871,a37)
% 1.66/1.73 [207]~P1(x2072)+~P6(x2072)+~P3(x2071,a41)+E(x2071,a29)+P6(f38(x2072,x2071))
% 1.66/1.73 [235]~P3(x2352,x2351)+P3(f25(x2351,x2352),x2351)+~P7(x2351,a41)+E(x2351,a37)+E(x2352,f2(x2351))
% 1.66/1.73 [246]~P1(x2461)+~P5(x2461)+~P3(x2462,a41)+~P9(x2462,f3(x2461))+P7(f26(x2461,x2462),x2461)
% 1.66/1.73 [248]~P1(x2481)+P3(f28(x2482,x2481),x2481)+~P3(x2482,a41)+E(x2481,f30(x2482))+P3(f28(x2482,x2481),a41)
% 1.66/1.73 [249]~P3(x2492,x2491)+~P7(x2491,a41)+~P9(x2492,f25(x2491,x2492))+E(x2491,a37)+E(x2492,f2(x2491))
% 1.66/1.73 [256]~P6(x2562)+~P2(x2561)+~E(f6(x2561,x2562),f7(x2561,x2562))+~P7(x2562,f39(x2561))+P6(f34(x2561,x2562))
% 1.66/1.73 [258]~P6(x2582)+~P2(x2581)+P3(f7(x2581,x2582),f39(x2581))+~P7(x2582,f39(x2581))+P6(f34(x2581,x2582))
% 1.66/1.73 [259]~P6(x2592)+~P2(x2591)+P3(f6(x2591,x2592),f39(x2591))+~P7(x2592,f39(x2591))+P6(f34(x2591,x2592))
% 1.66/1.73 [223]P3(x2232,x2231)+~P1(x2231)+~P4(x2232)+~P5(x2231)+E(f3(f36(x2231,x2232)),f43(f3(x2231)))
% 1.66/1.73 [242]~P1(x2421)+~P5(x2421)+~P3(x2422,a41)+~P9(x2422,f3(x2421))+E(f3(f26(x2421,x2422)),x2422)
% 1.66/1.73 [251]E(x2511,x2512)+P3(x2511,f30(x2512))+~P3(x2512,a41)+~P3(x2511,a41)+~P3(x2511,f30(f43(x2512)))
% 1.66/1.73 [263]~P1(x2631)+P3(f28(x2632,x2631),x2631)+~P3(x2632,a41)+E(x2631,f30(x2632))+P9(f43(f28(x2632,x2631)),x2632)
% 1.66/1.73 [265]~P6(x2652)+~P2(x2651)+~P7(x2652,f39(x2651))+P6(f34(x2651,x2652))+E(f31(x2651,f6(x2651,x2652)),f31(x2651,f7(x2651,x2652)))
% 1.66/1.73 [209]~P3(x2093,x2091)+P9(x2092,x2093)+~E(x2092,f2(x2091))+~P7(x2091,a41)+E(x2091,a37)
% 1.66/1.73 [237]P3(x2371,x2372)+~P3(x2373,a41)+~P3(x2371,a41)+~P9(f43(x2371),x2373)+~E(x2372,f30(x2373))
% 1.66/1.73 [270]~P1(x2701)+~P5(x2703)+~P3(x2702,a41)+~P7(x2703,f38(x2701,x2702))+P5(f9(x2701,x2702,x2703))
% 1.66/1.73 [272]~P1(x2721)+~P5(x2723)+~P3(x2722,a41)+~P7(x2723,f38(x2721,x2722))+P7(f9(x2721,x2722,x2723),x2721)
% 1.66/1.73 [291]~P1(x2912)+~P5(x2911)+~P3(x2913,a41)+~P7(x2911,f38(x2912,x2913))+P7(x2911,f38(f9(x2912,x2913,x2911),x2913))
% 1.66/1.73 [203]~P1(x2034)+~P4(x2032)+~P3(x2031,x2033)+~E(x2031,x2032)+~E(x2033,f35(x2034,x2032))
% 1.66/1.73 [205]~P1(x2053)+~P4(x2054)+~P3(x2051,x2052)+P4(x2051)+~E(x2052,f36(x2053,x2054))
% 1.66/1.73 [206]~P1(x2063)+~P4(x2064)+~P3(x2061,x2062)+P4(x2061)+~E(x2062,f35(x2063,x2064))
% 1.66/1.73 [220]~P1(x2202)+~P4(x2204)+~P3(x2201,x2203)+P3(x2201,x2202)+~E(x2203,f35(x2202,x2204))
% 1.66/1.73 [222]~P4(x2223)+~P2(x2221)+~P3(x2222,x2224)+E(f31(x2221,x2222),x2223)+~E(x2224,f32(x2221,x2223))
% 1.66/1.73 [226]~P1(x2264)+~P3(x2261,x2263)+~P3(x2262,a41)+E(f3(x2261),x2262)+~E(x2263,f38(x2264,x2262))
% 1.66/1.73 [228]~P4(x2284)+~P2(x2282)+~P3(x2281,x2283)+P3(x2281,f39(x2282))+~E(x2283,f32(x2282,x2284))
% 1.66/1.73 [232]~P1(x2322)+~P3(x2321,x2323)+P7(x2321,x2322)+~P3(x2324,a41)+~E(x2323,f38(x2322,x2324))
% 1.66/1.73 [250]~P2(x2503)+~P3(x2502,x2504)+~P7(x2504,f39(x2503))+E(f31(x2501,x2502),f31(x2503,x2502))+~E(x2501,f33(x2503,x2504))
% 1.66/1.73 [297]~P2(x2971)+~P3(x2974,x2973)+~E(x2973,f34(x2971,x2972))+~P7(x2972,f39(x2971))+P3(f13(x2971,x2972,x2973,x2974),x2972)
% 1.66/1.73 [298]~P2(x2981)+~P3(x2984,x2983)+~E(x2983,f34(x2981,x2982))+~P7(x2982,f39(x2981))+E(f31(x2981,f13(x2981,x2982,x2983,x2984)),x2984)
% 1.66/1.73 [241]~P5(x2411)+~P3(x2412,x2411)+P3(f27(x2411,x2412),x2411)+~P7(x2411,a41)+E(x2411,a37)+E(x2412,f42(x2411))
% 1.66/1.73 [254]~P5(x2541)+~P3(x2542,x2541)+~P7(x2541,a41)+~P9(f27(x2541,x2542),x2542)+E(x2541,a37)+E(x2542,f42(x2541))
% 1.66/1.73 [279]~P1(x2791)+~P3(x2792,a41)+~P3(f28(x2792,x2791),x2791)+E(x2791,f30(x2792))+~P3(f28(x2792,x2791),a41)+~P9(f43(f28(x2792,x2791)),x2792)
% 1.66/1.73 [227]~P1(x2272)+~P1(x2271)+~P7(x2273,x2272)+~P7(x2271,x2273)+P7(x2271,x2272)+~P1(x2273)
% 1.66/1.73 [255]~P9(x2551,x2553)+P9(x2551,x2552)+~P9(x2553,x2552)+~P3(x2552,a41)+~P3(x2553,a41)+~P3(x2551,a41)
% 1.66/1.73 [219]~P5(x2191)+~P3(x2192,x2191)+P9(x2192,x2193)+~E(x2193,f42(x2191))+~P7(x2191,a41)+E(x2191,a37)
% 1.66/1.73 [268]~P2(x2681)+~P2(x2682)+P3(f8(x2682,x2683,x2681),x2683)+~E(f39(x2681),x2683)+~P7(x2683,f39(x2682))+E(x2681,f33(x2682,x2683))
% 1.66/1.73 [275]~P1(x2751)+~P1(x2752)+~P4(x2753)+P3(f23(x2752,x2753,x2751),x2751)+~E(f23(x2752,x2753,x2751),x2753)+E(x2751,f35(x2752,x2753))
% 1.66/1.73 [277]~P1(x2771)+~P1(x2772)+~P4(x2773)+P3(f24(x2772,x2773,x2771),x2771)+E(x2771,f36(x2772,x2773))+P4(f24(x2772,x2773,x2771))
% 1.66/1.73 [278]~P1(x2781)+~P1(x2782)+~P4(x2783)+P3(f23(x2782,x2783,x2781),x2781)+E(x2781,f35(x2782,x2783))+P4(f23(x2782,x2783,x2781))
% 1.66/1.73 [280]~P1(x2801)+~P1(x2802)+~P4(x2803)+P3(f23(x2802,x2803,x2801),x2801)+P3(f23(x2802,x2803,x2801),x2802)+E(x2801,f35(x2802,x2803))
% 1.66/1.73 [283]~P1(x2831)+~P4(x2833)+~P2(x2832)+P3(f11(x2832,x2833,x2831),x2831)+P3(f11(x2832,x2833,x2831),f39(x2832))+E(x2831,f32(x2832,x2833))
% 1.66/1.73 [284]~P1(x2841)+~P1(x2842)+P3(f10(x2842,x2843,x2841),x2841)+P7(f10(x2842,x2843,x2841),x2842)+~P3(x2843,a41)+E(x2841,f38(x2842,x2843))
% 1.66/1.73 [287]~P1(x2871)+~P2(x2872)+P3(f12(x2872,x2873,x2871),x2871)+P3(f14(x2872,x2873,x2871),x2873)+~P7(x2873,f39(x2872))+E(x2871,f34(x2872,x2873))
% 1.66/1.73 [281]~P1(x2811)+~P4(x2813)+~P2(x2812)+P3(f11(x2812,x2813,x2811),x2811)+E(x2811,f32(x2812,x2813))+E(f31(x2812,f11(x2812,x2813,x2811)),x2813)
% 1.66/1.73 [282]~P1(x2821)+~P1(x2822)+P3(f10(x2822,x2823,x2821),x2821)+~P3(x2823,a41)+E(x2821,f38(x2822,x2823))+E(f3(f10(x2822,x2823,x2821)),x2823)
% 1.66/1.73 [292]~P1(x2921)+~P2(x2922)+P3(f12(x2922,x2923,x2921),x2921)+~P7(x2923,f39(x2922))+E(x2921,f34(x2922,x2923))+E(f31(x2922,f14(x2922,x2923,x2921)),f12(x2922,x2923,x2921))
% 1.66/1.73 [294]~P2(x2942)+~P2(x2941)+~E(f39(x2941),x2943)+~P7(x2943,f39(x2942))+E(x2941,f33(x2942,x2943))+~E(f31(x2941,f8(x2942,x2943,x2941)),f31(x2942,f8(x2942,x2943,x2941)))
% 1.66/1.73 [303]~P1(x3031)+~P6(x3033)+~P3(x3032,a41)+~P3(x3031,f38(x3033,a50))+~P7(x3033,f35(f31(a47,x3032),f2(f31(a47,x3032))))+P3(x3031,f38(f35(f31(a47,x3032),f2(f31(a47,x3032))),a50))
% 1.66/1.73 [200]~P1(x2004)+~P4(x2003)+~P4(x2001)+P3(x2001,x2002)+~E(x2001,x2003)+~E(x2002,f36(x2004,x2003))
% 1.66/1.73 [225]~P1(x2253)+~P4(x2252)+~P3(x2251,x2254)+E(x2251,x2252)+P3(x2251,x2253)+~E(x2254,f36(x2253,x2252))
% 1.66/1.73 [229]~P1(x2293)+~P4(x2294)+~P4(x2291)+~P3(x2291,x2293)+P3(x2291,x2292)+~E(x2292,f36(x2293,x2294))
% 1.66/1.73 [240]~P1(x2404)+~P7(x2401,x2404)+P3(x2401,x2402)+~P3(x2403,a41)+~E(x2402,f38(x2404,x2403))+~E(f3(x2401),x2403)
% 1.66/1.73 [247]~P4(x2474)+~P2(x2473)+P3(x2471,x2472)+~E(f31(x2473,x2471),x2474)+~P3(x2471,f39(x2473))+~E(x2472,f32(x2473,x2474))
% 1.66/1.73 [260]~P2(x2603)+~P3(x2605,x2604)+P3(x2601,x2602)+~P7(x2604,f39(x2603))+~E(x2602,f34(x2603,x2604))+~E(f31(x2603,x2605),x2601)
% 1.66/1.73 [252]E(f2(x2522),f2(x2521))+~P7(x2521,a41)+~P7(x2522,a41)+~P3(f2(x2521),x2522)+~P3(f2(x2522),x2521)+E(x2521,a37)+E(x2522,a37)
% 1.66/1.73 [267]~P1(x2673)+~P1(x2672)+P7(x2672,x2673)+~P3(x2671,a41)+~P7(f38(x2672,x2671),f38(x2673,x2671))+E(x2671,a29)+E(f38(x2672,x2671),a37)
% 1.66/1.73 [289]~P1(x2891)+~P1(x2892)+~P4(x2893)+E(f24(x2892,x2893,x2891),x2893)+P3(f24(x2892,x2893,x2891),x2891)+P3(f24(x2892,x2893,x2891),x2892)+E(x2891,f36(x2892,x2893))
% 1.66/1.73 [295]~P1(x2951)+~P1(x2952)+~P4(x2953)+~E(f24(x2952,x2953,x2951),x2953)+~P3(f24(x2952,x2953,x2951),x2951)+E(x2951,f36(x2952,x2953))+~P4(f24(x2952,x2953,x2951))
% 1.66/1.73 [296]~P1(x2961)+~P1(x2962)+~P4(x2963)+~P3(f24(x2962,x2963,x2961),x2961)+~P3(f24(x2962,x2963,x2961),x2962)+E(x2961,f36(x2962,x2963))+~P4(f24(x2962,x2963,x2961))
% 1.66/1.73 [299]~P1(x2991)+~P1(x2992)+~P3(x2993,a41)+~P3(f10(x2992,x2993,x2991),x2991)+~P7(f10(x2992,x2993,x2991),x2992)+E(x2991,f38(x2992,x2993))+~E(f3(f10(x2992,x2993,x2991)),x2993)
% 1.66/1.73 [300]~P1(x3001)+~P4(x3003)+~P2(x3002)+~P3(f11(x3002,x3003,x3001),x3001)+~P3(f11(x3002,x3003,x3001),f39(x3002))+E(x3001,f32(x3002,x3003))+~E(f31(x3002,f11(x3002,x3003,x3001)),x3003)
% 1.66/1.73 [230]~P1(x2304)+~P4(x2302)+~P4(x2301)+~P3(x2301,x2304)+E(x2301,x2302)+P3(x2301,x2303)+~E(x2303,f35(x2304,x2302))
% 1.66/1.73 [293]~P1(x2931)+~P2(x2932)+~P3(x2934,x2933)+~P7(x2933,f39(x2932))+~P3(f12(x2932,x2933,x2931),x2931)+~E(f31(x2932,x2934),f12(x2932,x2933,x2931))+E(x2931,f34(x2932,x2933))
% 1.66/1.73 [301]~P1(x3011)+~P1(x3012)+~P4(x3013)+E(f23(x3012,x3013,x3011),x3013)+~P3(f23(x3012,x3013,x3011),x3011)+~P3(f23(x3012,x3013,x3011),x3012)+E(x3011,f35(x3012,x3013))+~P4(f23(x3012,x3013,x3011))
% 1.66/1.73 [285]~P6(x2852)+~P2(x2853)+~E(f39(x2853),f38(x2852,x2851))+~P3(x2851,a41)+~P7(x2852,a41)+~P8(x2851,a44)+P6(f17(x2851,x2852,x2853))+~P7(f34(x2853,f39(x2853)),a53)
% 1.66/1.73 [286]~P6(x2862)+~P2(x2863)+~E(f39(x2863),f38(x2862,x2861))+~P3(x2861,a41)+~P7(x2862,a41)+~P8(x2861,a44)+P3(f18(x2861,x2862,x2863),a53)+~P7(f34(x2863,f39(x2863)),a53)
% 1.66/1.74 [288]~P6(x2882)+~P2(x2883)+~E(f39(x2883),f38(x2882,x2881))+~P3(x2881,a41)+~P7(x2882,a41)+~P8(x2881,a44)+P7(f17(x2881,x2882,x2883),x2882)+~P7(f34(x2883,f39(x2883)),a53)
% 1.66/1.74 [302]~P6(x3024)+~P2(x3021)+~E(f39(x3021),f38(x3024,x3023))+~P3(x3023,a41)+~P7(x3024,a41)+~P8(x3023,a44)+E(f31(x3021,x3022),f18(x3023,x3024,x3021))+~P3(x3022,f38(f17(x3023,x3024,x3021),x3023))+~P7(f34(x3021,f39(x3021)),a53)
% 1.66/1.74 %EqnAxiom
% 1.66/1.74 [1]E(x11,x11)
% 1.66/1.74 [2]E(x22,x21)+~E(x21,x22)
% 1.66/1.74 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.66/1.74 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 1.66/1.74 [5]~E(x51,x52)+E(f43(x51),f43(x52))
% 1.66/1.74 [6]~E(x61,x62)+E(f3(x61),f3(x62))
% 1.66/1.74 [7]~E(x71,x72)+E(f30(x71),f30(x72))
% 1.66/1.74 [8]~E(x81,x82)+E(f39(x81),f39(x82))
% 1.66/1.74 [9]~E(x91,x92)+E(f34(x91,x93),f34(x92,x93))
% 1.66/1.74 [10]~E(x101,x102)+E(f34(x103,x101),f34(x103,x102))
% 1.66/1.74 [11]~E(x111,x112)+E(f38(x111,x113),f38(x112,x113))
% 1.66/1.74 [12]~E(x121,x122)+E(f38(x123,x121),f38(x123,x122))
% 1.66/1.74 [13]~E(x131,x132)+E(f35(x131,x133),f35(x132,x133))
% 1.66/1.74 [14]~E(x141,x142)+E(f35(x143,x141),f35(x143,x142))
% 1.66/1.74 [15]~E(x151,x152)+E(f31(x151,x153),f31(x152,x153))
% 1.66/1.74 [16]~E(x161,x162)+E(f31(x163,x161),f31(x163,x162))
% 1.66/1.74 [17]~E(x171,x172)+E(f10(x171,x173,x174),f10(x172,x173,x174))
% 1.66/1.74 [18]~E(x181,x182)+E(f10(x183,x181,x184),f10(x183,x182,x184))
% 1.66/1.74 [19]~E(x191,x192)+E(f10(x193,x194,x191),f10(x193,x194,x192))
% 1.66/1.74 [20]~E(x201,x202)+E(f24(x201,x203,x204),f24(x202,x203,x204))
% 1.66/1.74 [21]~E(x211,x212)+E(f24(x213,x211,x214),f24(x213,x212,x214))
% 1.66/1.74 [22]~E(x221,x222)+E(f24(x223,x224,x221),f24(x223,x224,x222))
% 1.66/1.74 [23]~E(x231,x232)+E(f9(x231,x233,x234),f9(x232,x233,x234))
% 1.66/1.74 [24]~E(x241,x242)+E(f9(x243,x241,x244),f9(x243,x242,x244))
% 1.66/1.74 [25]~E(x251,x252)+E(f9(x253,x254,x251),f9(x253,x254,x252))
% 1.66/1.74 [26]~E(x261,x262)+E(f32(x261,x263),f32(x262,x263))
% 1.66/1.74 [27]~E(x271,x272)+E(f32(x273,x271),f32(x273,x272))
% 1.66/1.74 [28]~E(x281,x282)+E(f40(x281),f40(x282))
% 1.66/1.74 [29]~E(x291,x292)+E(f11(x291,x293,x294),f11(x292,x293,x294))
% 1.66/1.74 [30]~E(x301,x302)+E(f11(x303,x301,x304),f11(x303,x302,x304))
% 1.66/1.74 [31]~E(x311,x312)+E(f11(x313,x314,x311),f11(x313,x314,x312))
% 1.66/1.74 [32]~E(x321,x322)+E(f33(x321,x323),f33(x322,x323))
% 1.66/1.74 [33]~E(x331,x332)+E(f33(x333,x331),f33(x333,x332))
% 1.66/1.74 [34]~E(x341,x342)+E(f36(x341,x343),f36(x342,x343))
% 1.66/1.74 [35]~E(x351,x352)+E(f36(x353,x351),f36(x353,x352))
% 1.66/1.74 [36]~E(x361,x362)+E(f13(x361,x363,x364,x365),f13(x362,x363,x364,x365))
% 1.66/1.74 [37]~E(x371,x372)+E(f13(x373,x371,x374,x375),f13(x373,x372,x374,x375))
% 1.66/1.74 [38]~E(x381,x382)+E(f13(x383,x384,x381,x385),f13(x383,x384,x382,x385))
% 1.66/1.74 [39]~E(x391,x392)+E(f13(x393,x394,x395,x391),f13(x393,x394,x395,x392))
% 1.66/1.74 [40]~E(x401,x402)+E(f20(x401),f20(x402))
% 1.66/1.74 [41]~E(x411,x412)+E(f27(x411,x413),f27(x412,x413))
% 1.66/1.74 [42]~E(x421,x422)+E(f27(x423,x421),f27(x423,x422))
% 1.66/1.74 [43]~E(x431,x432)+E(f23(x431,x433,x434),f23(x432,x433,x434))
% 1.66/1.74 [44]~E(x441,x442)+E(f23(x443,x441,x444),f23(x443,x442,x444))
% 1.66/1.74 [45]~E(x451,x452)+E(f23(x453,x454,x451),f23(x453,x454,x452))
% 1.66/1.74 [46]~E(x461,x462)+E(f28(x461,x463),f28(x462,x463))
% 1.66/1.74 [47]~E(x471,x472)+E(f28(x473,x471),f28(x473,x472))
% 1.66/1.74 [48]~E(x481,x482)+E(f17(x481,x483,x484),f17(x482,x483,x484))
% 1.66/1.74 [49]~E(x491,x492)+E(f17(x493,x491,x494),f17(x493,x492,x494))
% 1.66/1.74 [50]~E(x501,x502)+E(f17(x503,x504,x501),f17(x503,x504,x502))
% 1.66/1.74 [51]~E(x511,x512)+E(f22(x511,x513),f22(x512,x513))
% 1.66/1.74 [52]~E(x521,x522)+E(f22(x523,x521),f22(x523,x522))
% 1.66/1.74 [53]~E(x531,x532)+E(f14(x531,x533,x534),f14(x532,x533,x534))
% 1.66/1.74 [54]~E(x541,x542)+E(f14(x543,x541,x544),f14(x543,x542,x544))
% 1.66/1.74 [55]~E(x551,x552)+E(f14(x553,x554,x551),f14(x553,x554,x552))
% 1.66/1.74 [56]~E(x561,x562)+E(f15(x561),f15(x562))
% 1.66/1.74 [57]~E(x571,x572)+E(f12(x571,x573,x574),f12(x572,x573,x574))
% 1.66/1.74 [58]~E(x581,x582)+E(f12(x583,x581,x584),f12(x583,x582,x584))
% 1.66/1.74 [59]~E(x591,x592)+E(f12(x593,x594,x591),f12(x593,x594,x592))
% 1.66/1.74 [60]~E(x601,x602)+E(f42(x601),f42(x602))
% 1.66/1.74 [61]~E(x611,x612)+E(f8(x611,x613,x614),f8(x612,x613,x614))
% 1.66/1.74 [62]~E(x621,x622)+E(f8(x623,x621,x624),f8(x623,x622,x624))
% 1.66/1.74 [63]~E(x631,x632)+E(f8(x633,x634,x631),f8(x633,x634,x632))
% 1.66/1.74 [64]~E(x641,x642)+E(f6(x641,x643),f6(x642,x643))
% 1.66/1.74 [65]~E(x651,x652)+E(f6(x653,x651),f6(x653,x652))
% 1.66/1.74 [66]~E(x661,x662)+E(f25(x661,x663),f25(x662,x663))
% 1.66/1.74 [67]~E(x671,x672)+E(f25(x673,x671),f25(x673,x672))
% 1.66/1.74 [68]~E(x681,x682)+E(f18(x681,x683,x684),f18(x682,x683,x684))
% 1.66/1.74 [69]~E(x691,x692)+E(f18(x693,x691,x694),f18(x693,x692,x694))
% 1.66/1.74 [70]~E(x701,x702)+E(f18(x703,x704,x701),f18(x703,x704,x702))
% 1.66/1.74 [71]~E(x711,x712)+E(f19(x711),f19(x712))
% 1.66/1.74 [72]~E(x721,x722)+E(f21(x721),f21(x722))
% 1.66/1.74 [73]~E(x731,x732)+E(f7(x731,x733),f7(x732,x733))
% 1.66/1.74 [74]~E(x741,x742)+E(f7(x743,x741),f7(x743,x742))
% 1.66/1.74 [75]~E(x751,x752)+E(f16(x751),f16(x752))
% 1.66/1.74 [76]~E(x761,x762)+E(f5(x761),f5(x762))
% 1.66/1.74 [77]~E(x771,x772)+E(f4(x771),f4(x772))
% 1.66/1.74 [78]~E(x781,x782)+E(f26(x781,x783),f26(x782,x783))
% 1.66/1.74 [79]~E(x791,x792)+E(f26(x793,x791),f26(x793,x792))
% 1.66/1.74 [80]~P1(x801)+P1(x802)+~E(x801,x802)
% 1.66/1.74 [81]P3(x812,x813)+~E(x811,x812)+~P3(x811,x813)
% 1.66/1.74 [82]P3(x823,x822)+~E(x821,x822)+~P3(x823,x821)
% 1.66/1.74 [83]~P6(x831)+P6(x832)+~E(x831,x832)
% 1.66/1.74 [84]P9(x842,x843)+~E(x841,x842)+~P9(x841,x843)
% 1.66/1.74 [85]P9(x853,x852)+~E(x851,x852)+~P9(x853,x851)
% 1.66/1.74 [86]~P2(x861)+P2(x862)+~E(x861,x862)
% 1.66/1.74 [87]~P5(x871)+P5(x872)+~E(x871,x872)
% 1.66/1.74 [88]~P4(x881)+P4(x882)+~E(x881,x882)
% 1.66/1.74 [89]P7(x892,x893)+~E(x891,x892)+~P7(x891,x893)
% 1.66/1.74 [90]P7(x903,x902)+~E(x901,x902)+~P7(x903,x901)
% 1.66/1.74 [91]P8(x912,x913)+~E(x911,x912)+~P8(x911,x913)
% 1.66/1.74 [92]P8(x923,x922)+~E(x921,x922)+~P8(x923,x921)
% 1.66/1.74
% 1.66/1.74 %-------------------------------------------
% 1.66/1.74 cnf(306,plain,
% 1.66/1.74 (E(a49,f2(a1))),
% 1.66/1.74 inference(scs_inference,[],[93,2])).
% 1.66/1.74 cnf(307,plain,
% 1.66/1.74 (P9(a29,a29)),
% 1.66/1.74 inference(scs_inference,[],[118,93,2,168])).
% 1.66/1.74 cnf(309,plain,
% 1.66/1.74 (~P3(x3091,f30(a29))),
% 1.66/1.74 inference(scs_inference,[],[118,93,96,2,168,155])).
% 1.66/1.74 cnf(311,plain,
% 1.66/1.74 (P1(f30(a29))),
% 1.66/1.74 inference(scs_inference,[],[118,93,96,2,168,155,147])).
% 1.66/1.74 cnf(313,plain,
% 1.66/1.74 (~E(a41,f30(a29))),
% 1.66/1.74 inference(scs_inference,[],[118,93,96,2,168,155,147,82])).
% 1.66/1.74 cnf(315,plain,
% 1.66/1.74 (P1(a37)),
% 1.66/1.74 inference(scs_inference,[],[146,118,93,96,2,168,155,147,82,81,80])).
% 1.66/1.74 cnf(317,plain,
% 1.66/1.74 (~P5(a41)),
% 1.66/1.74 inference(scs_inference,[],[146,101,108,118,144,93,94,96,2,168,155,147,82,81,80,3,153])).
% 1.66/1.74 cnf(319,plain,
% 1.66/1.74 (~P6(f30(a29))),
% 1.66/1.74 inference(scs_inference,[],[146,101,108,118,144,93,94,96,2,168,155,147,82,81,80,3,153,150])).
% 1.66/1.74 cnf(321,plain,
% 1.66/1.74 (P3(a49,a41)),
% 1.66/1.74 inference(scs_inference,[],[146,101,108,118,122,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208])).
% 1.66/1.74 cnf(323,plain,
% 1.66/1.74 (~E(a46,f30(a29))),
% 1.66/1.74 inference(scs_inference,[],[146,101,108,118,122,124,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202])).
% 1.66/1.74 cnf(325,plain,
% 1.66/1.74 (P9(f43(a29),f43(a29))),
% 1.66/1.74 inference(scs_inference,[],[146,101,108,118,122,124,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234])).
% 1.66/1.74 cnf(327,plain,
% 1.66/1.74 (P7(f30(a29),f30(a29))),
% 1.66/1.74 inference(scs_inference,[],[146,101,108,118,122,124,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233])).
% 1.66/1.74 cnf(329,plain,
% 1.66/1.74 (P9(a29,a44)),
% 1.66/1.74 inference(scs_inference,[],[146,101,108,118,119,122,124,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162])).
% 1.66/1.74 cnf(331,plain,
% 1.66/1.74 (P7(a41,a41)),
% 1.66/1.74 inference(scs_inference,[],[146,101,108,118,119,122,124,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154])).
% 1.66/1.74 cnf(335,plain,
% 1.66/1.74 (P7(f31(a47,a29),a41)),
% 1.66/1.74 inference(scs_inference,[],[146,101,108,118,119,121,122,124,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154,214,194])).
% 1.66/1.74 cnf(337,plain,
% 1.66/1.74 (~P9(f43(a29),a29)),
% 1.66/1.74 inference(scs_inference,[],[146,101,108,118,119,121,122,124,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154,214,194,186])).
% 1.66/1.74 cnf(341,plain,
% 1.66/1.74 (P6(f31(a47,a29))),
% 1.66/1.74 inference(scs_inference,[],[146,101,108,118,119,121,122,124,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154,214,194,186,185,184])).
% 1.66/1.74 cnf(345,plain,
% 1.66/1.74 (P9(a29,f43(a29))),
% 1.66/1.74 inference(scs_inference,[],[146,101,108,118,119,121,122,124,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154,214,194,186,185,184,175,174])).
% 1.66/1.74 cnf(351,plain,
% 1.66/1.74 (P3(f20(a29),a53)),
% 1.66/1.74 inference(scs_inference,[],[146,101,108,118,119,121,122,124,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154,214,194,186,185,184,175,174,173,172,171])).
% 1.66/1.74 cnf(355,plain,
% 1.66/1.74 (P3(f43(a29),a41)),
% 1.66/1.74 inference(scs_inference,[],[146,101,108,118,119,121,122,124,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154,214,194,186,185,184,175,174,173,172,171,170,169])).
% 1.66/1.74 cnf(357,plain,
% 1.66/1.74 (E(f3(f30(a29)),a29)),
% 1.66/1.74 inference(scs_inference,[],[146,101,108,118,119,121,122,124,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154,214,194,186,185,184,175,174,173,172,171,170,169,161])).
% 1.66/1.74 cnf(361,plain,
% 1.66/1.74 (P5(f30(a29))),
% 1.66/1.74 inference(scs_inference,[],[146,101,108,118,119,121,122,124,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154,214,194,186,185,184,175,174,173,172,171,170,169,161,160,159])).
% 1.66/1.74 cnf(363,plain,
% 1.66/1.74 (~E(f43(a29),a29)),
% 1.66/1.74 inference(scs_inference,[],[146,101,108,118,119,121,122,124,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154,214,194,186,185,184,175,174,173,172,171,170,169,161,160,159,157])).
% 1.66/1.74 cnf(367,plain,
% 1.66/1.74 (P4(f3(a41))),
% 1.66/1.74 inference(scs_inference,[],[146,101,108,118,119,121,122,124,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154,214,194,186,185,184,175,174,173,172,171,170,169,161,160,159,157,156,152])).
% 1.66/1.74 cnf(438,plain,
% 1.66/1.74 (E(f38(x4381,f2(a1)),f38(x4381,a49))),
% 1.66/1.74 inference(scs_inference,[],[146,101,108,111,118,119,121,122,124,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154,214,194,186,185,184,175,174,173,172,171,170,169,161,160,159,157,156,152,151,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12])).
% 1.66/1.74 cnf(443,plain,
% 1.66/1.74 (E(f30(f2(a1)),f30(a49))),
% 1.66/1.74 inference(scs_inference,[],[146,101,108,111,118,119,121,122,124,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154,214,194,186,185,184,175,174,173,172,171,170,169,161,160,159,157,156,152,151,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7])).
% 1.66/1.74 cnf(456,plain,
% 1.66/1.74 (~E(a37,a41)),
% 1.66/1.74 inference(scs_inference,[],[146,101,106,108,111,118,119,121,122,124,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154,214,194,186,185,184,175,174,173,172,171,170,169,161,160,159,157,156,152,151,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,269,196,273,271,88,87])).
% 1.66/1.74 cnf(457,plain,
% 1.66/1.74 (~P9(f43(a29),f3(f30(a29)))),
% 1.66/1.74 inference(scs_inference,[],[146,101,106,108,111,118,119,121,122,124,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154,214,194,186,185,184,175,174,173,172,171,170,169,161,160,159,157,156,152,151,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,269,196,273,271,88,87,85])).
% 1.66/1.74 cnf(458,plain,
% 1.66/1.74 (~E(a29,f43(a29))),
% 1.66/1.74 inference(scs_inference,[],[146,101,106,108,111,118,119,121,122,124,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154,214,194,186,185,184,175,174,173,172,171,170,169,161,160,159,157,156,152,151,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,269,196,273,271,88,87,85,84])).
% 1.66/1.74 cnf(460,plain,
% 1.66/1.74 (P4(a29)),
% 1.66/1.74 inference(scs_inference,[],[146,101,106,108,109,111,118,119,121,122,124,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154,214,194,186,185,184,175,174,173,172,171,170,169,161,160,159,157,156,152,151,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,269,196,273,271,88,87,85,84,83,167])).
% 1.66/1.74 cnf(462,plain,
% 1.66/1.74 (P1(a54)),
% 1.66/1.74 inference(scs_inference,[],[146,101,106,108,109,111,118,119,121,122,124,125,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154,214,194,186,185,184,175,174,173,172,171,170,169,161,160,159,157,156,152,151,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,269,196,273,271,88,87,85,84,83,167,166])).
% 1.66/1.74 cnf(464,plain,
% 1.66/1.74 (P1(f30(f2(a1)))),
% 1.66/1.74 inference(scs_inference,[],[146,101,106,108,109,111,118,119,121,122,124,125,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154,214,194,186,185,184,175,174,173,172,171,170,169,161,160,159,157,156,152,151,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,269,196,273,271,88,87,85,84,83,167,166,164])).
% 1.66/1.74 cnf(466,plain,
% 1.66/1.74 (~P3(f3(a41),a41)),
% 1.66/1.74 inference(scs_inference,[],[146,101,106,108,109,111,118,119,121,122,124,125,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154,214,194,186,185,184,175,174,173,172,171,170,169,161,160,159,157,156,152,151,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,269,196,273,271,88,87,85,84,83,167,166,164,177])).
% 1.66/1.74 cnf(468,plain,
% 1.66/1.74 (P3(f19(f43(a29)),a41)),
% 1.66/1.74 inference(scs_inference,[],[146,101,106,108,109,111,118,119,121,122,124,125,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154,214,194,186,185,184,175,174,173,172,171,170,169,161,160,159,157,156,152,151,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,269,196,273,271,88,87,85,84,83,167,166,164,177,176])).
% 1.66/1.74 cnf(472,plain,
% 1.66/1.74 (E(f43(f19(f43(a29))),f43(a29))),
% 1.66/1.74 inference(scs_inference,[],[146,101,106,108,109,111,118,119,121,122,124,125,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154,214,194,186,185,184,175,174,173,172,171,170,169,161,160,159,157,156,152,151,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,269,196,273,271,88,87,85,84,83,167,166,164,177,176,165,163])).
% 1.66/1.74 cnf(474,plain,
% 1.66/1.74 (P7(f32(a55,f3(a41)),f39(a55))),
% 1.66/1.74 inference(scs_inference,[],[146,101,106,108,109,111,118,119,121,122,124,125,127,144,93,94,96,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154,214,194,186,185,184,175,174,173,172,171,170,169,161,160,159,157,156,152,151,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,269,196,273,271,88,87,85,84,83,167,166,164,177,176,165,163,198])).
% 1.66/1.74 cnf(478,plain,
% 1.66/1.74 (P4(f31(a55,a1))),
% 1.66/1.74 inference(scs_inference,[],[146,101,106,108,109,111,118,119,121,122,124,125,127,144,93,94,96,134,2,168,155,147,82,81,80,3,153,150,208,202,234,233,162,154,214,194,186,185,184,175,174,173,172,171,170,169,161,160,159,157,156,152,151,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,269,196,273,271,88,87,85,84,83,167,166,164,177,176,165,163,198,217,215])).
% 1.66/1.74 cnf(548,plain,
% 1.66/1.74 (~P9(a44,a29)),
% 1.66/1.74 inference(scs_inference,[],[144,119,118,329,261,195,231])).
% 1.66/1.74 cnf(550,plain,
% 1.66/1.74 (~E(a41,a37)),
% 1.66/1.74 inference(scs_inference,[],[120,144,119,118,329,261,195,231,155])).
% 1.66/1.74 cnf(552,plain,
% 1.66/1.74 (P4(a50)),
% 1.66/1.74 inference(scs_inference,[],[120,144,119,101,118,329,261,195,231,155,167])).
% 1.66/1.74 cnf(564,plain,
% 1.66/1.74 (~P3(a57,a54)),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,125,144,102,107,119,101,118,367,329,261,195,231,155,167,150,165,158,198,217,208])).
% 1.66/1.74 cnf(568,plain,
% 1.66/1.74 (~P3(a57,f30(f2(a1)))),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,142,125,144,102,107,119,101,118,443,367,321,329,261,195,231,155,167,150,165,158,198,217,208,178,202])).
% 1.66/1.74 cnf(570,plain,
% 1.66/1.74 (P9(f43(a29),a44)),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,142,125,144,102,107,119,101,118,443,367,321,329,261,195,231,155,167,150,165,158,198,217,208,178,202,221])).
% 1.66/1.74 cnf(584,plain,
% 1.66/1.74 (E(f35(f36(f30(a29),f3(a41)),f3(a41)),f30(a29))),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,142,125,144,102,107,119,101,118,309,325,443,311,367,355,321,329,261,195,231,155,167,150,165,158,198,217,208,178,202,221,191,190,189,188,234,233,216])).
% 1.66/1.74 cnf(585,plain,
% 1.66/1.74 (~P3(x5851,f30(a29))),
% 1.66/1.74 inference(rename_variables,[],[309])).
% 1.66/1.74 cnf(593,plain,
% 1.66/1.74 (~E(a41,f35(f30(a29),f3(a41)))),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,142,125,144,135,102,107,119,101,118,341,309,585,325,443,311,367,335,355,321,329,261,195,231,155,167,150,165,158,198,217,208,178,202,221,191,190,189,188,234,233,216,244,266,290,220])).
% 1.66/1.74 cnf(594,plain,
% 1.66/1.74 (~P3(x5941,f30(a29))),
% 1.66/1.74 inference(rename_variables,[],[309])).
% 1.66/1.74 cnf(598,plain,
% 1.66/1.74 (P3(f28(a29,a41),a41)),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,142,125,144,135,102,107,119,101,118,341,309,585,325,313,363,443,311,367,335,355,321,329,261,195,231,155,167,150,165,158,198,217,208,178,202,221,191,190,189,188,234,233,216,244,266,290,220,207,248])).
% 1.66/1.74 cnf(600,plain,
% 1.66/1.74 (P7(f30(a29),a37)),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,142,125,144,135,102,107,119,96,101,118,341,309,585,325,313,363,443,311,327,367,335,355,321,329,261,195,231,155,167,150,165,158,198,217,208,178,202,221,191,190,189,188,234,233,216,244,266,290,220,207,248,90])).
% 1.66/1.74 cnf(601,plain,
% 1.66/1.74 (P7(a37,f30(a29))),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,142,125,144,135,102,107,119,96,101,118,341,309,585,325,313,363,443,311,327,367,335,355,321,329,261,195,231,155,167,150,165,158,198,217,208,178,202,221,191,190,189,188,234,233,216,244,266,290,220,207,248,90,89])).
% 1.66/1.74 cnf(602,plain,
% 1.66/1.74 (~P5(f39(a47))),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,97,142,125,144,135,102,107,119,96,101,118,341,309,585,325,313,363,443,311,327,367,335,355,317,321,329,261,195,231,155,167,150,165,158,198,217,208,178,202,221,191,190,189,188,234,233,216,244,266,290,220,207,248,90,89,87])).
% 1.66/1.74 cnf(603,plain,
% 1.66/1.74 (~P9(f43(a50),a29)),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,97,142,125,144,94,135,102,107,119,96,101,118,341,309,585,325,313,363,443,311,327,367,335,355,317,321,329,261,195,231,155,167,150,165,158,198,217,208,178,202,221,191,190,189,188,234,233,216,244,266,290,220,207,248,90,89,87,84])).
% 1.66/1.74 cnf(605,plain,
% 1.66/1.74 (~P3(a57,f39(a47))),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,97,142,125,144,94,135,102,107,119,96,101,118,341,309,585,325,313,363,443,311,319,327,367,335,355,317,321,329,261,195,231,155,167,150,165,158,198,217,208,178,202,221,191,190,189,188,234,233,216,244,266,290,220,207,248,90,89,87,84,83,82])).
% 1.66/1.74 cnf(609,plain,
% 1.66/1.74 (P1(a1)),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,128,97,142,125,144,94,135,102,107,119,96,101,118,341,309,585,325,464,313,363,443,311,319,327,367,335,355,317,321,329,261,195,231,155,167,150,165,158,198,217,208,178,202,221,191,190,189,188,234,233,216,244,266,290,220,207,248,90,89,87,84,83,82,81,80,3,166])).
% 1.66/1.74 cnf(611,plain,
% 1.66/1.74 (~P5(a48)),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,128,97,142,125,144,94,135,102,107,119,96,101,118,341,309,585,325,464,313,363,443,311,319,327,367,335,355,317,321,329,261,195,231,155,167,150,165,158,198,217,208,178,202,221,191,190,189,188,234,233,216,244,266,290,220,207,248,90,89,87,84,83,82,81,80,3,166,153])).
% 1.66/1.74 cnf(613,plain,
% 1.66/1.74 (~P3(f3(a48),a41)),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,128,97,142,125,144,94,135,102,107,119,96,101,118,341,309,585,325,464,313,363,443,311,319,327,367,335,355,317,321,329,261,195,231,155,167,150,165,158,198,217,208,178,202,221,191,190,189,188,234,233,216,244,266,290,220,207,248,90,89,87,84,83,82,81,80,3,166,153,177])).
% 1.66/1.74 cnf(626,plain,
% 1.66/1.74 (~E(a1,a37)),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,128,145,97,142,125,144,94,135,102,107,119,96,101,118,341,438,309,585,325,464,313,363,443,311,319,327,367,335,355,317,321,329,261,195,231,155,167,150,165,158,198,217,208,178,202,221,191,190,189,188,234,233,216,244,266,290,220,207,248,90,89,87,84,83,82,81,80,3,166,153,177,193,204,192,257,201,2])).
% 1.66/1.74 cnf(627,plain,
% 1.66/1.74 (~E(f31(a47,a29),f31(a47,a44))),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,128,145,97,142,125,144,94,135,102,107,119,96,101,118,341,438,309,585,325,464,313,363,443,311,319,327,367,335,355,317,321,329,261,195,231,155,167,150,165,158,198,217,208,178,202,221,191,190,189,188,234,233,216,244,266,290,220,207,248,90,89,87,84,83,82,81,80,3,166,153,177,193,204,192,257,201,2,4])).
% 1.66/1.74 cnf(629,plain,
% 1.66/1.74 (P7(f30(a29),a48)),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,128,145,97,142,125,144,94,135,102,107,119,96,101,118,341,438,309,585,594,325,464,313,363,443,311,319,327,367,335,355,317,321,329,261,195,231,155,167,150,165,158,198,217,208,178,202,221,191,190,189,188,234,233,216,244,266,290,220,207,248,90,89,87,84,83,82,81,80,3,166,153,177,193,204,192,257,201,2,4,86,213])).
% 1.66/1.74 cnf(630,plain,
% 1.66/1.74 (~P3(x6301,f30(a29))),
% 1.66/1.74 inference(rename_variables,[],[309])).
% 1.66/1.74 cnf(634,plain,
% 1.66/1.74 (P9(a49,a49)),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,128,145,97,142,122,125,127,144,94,135,102,107,119,96,101,118,341,438,309,585,594,325,464,313,363,443,311,319,327,367,335,306,355,317,321,329,331,261,195,231,155,167,150,165,158,198,217,208,178,202,221,191,190,189,188,234,233,216,244,266,290,220,207,248,90,89,87,84,83,82,81,80,3,166,153,177,193,204,192,257,201,2,4,86,213,182,209])).
% 1.66/1.74 cnf(636,plain,
% 1.66/1.74 (~P3(f43(a29),f30(f43(a29)))),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,128,145,97,142,122,125,127,144,94,135,102,107,119,96,101,118,341,438,309,585,594,630,325,464,313,363,443,311,319,327,367,335,306,355,317,321,329,331,261,195,231,155,167,150,165,158,198,217,208,178,202,221,191,190,189,188,234,233,216,244,266,290,220,207,248,90,89,87,84,83,82,81,80,3,166,153,177,193,204,192,257,201,2,4,86,213,182,209,251])).
% 1.66/1.74 cnf(637,plain,
% 1.66/1.74 (~P3(x6371,f30(a29))),
% 1.66/1.74 inference(rename_variables,[],[309])).
% 1.66/1.74 cnf(643,plain,
% 1.66/1.74 (~P9(f43(f28(a29,a41)),a29)),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,128,145,97,142,122,125,127,144,94,135,102,107,119,96,101,118,341,438,309,585,594,630,637,325,464,313,363,443,311,319,327,361,367,335,306,355,315,317,321,329,331,261,195,231,155,167,150,165,158,198,217,208,178,202,221,191,190,189,188,234,233,216,244,266,290,220,207,248,90,89,87,84,83,82,81,80,3,166,153,177,193,204,192,257,201,2,4,86,213,182,209,251,223,227,279])).
% 1.66/1.74 cnf(645,plain,
% 1.66/1.74 (~P9(f43(f43(a29)),f43(a29))),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,128,145,97,142,122,125,127,144,94,135,102,107,119,96,101,118,341,438,309,585,594,630,637,325,464,313,363,443,311,319,327,361,367,335,306,337,355,315,317,321,329,331,261,195,231,155,167,150,165,158,198,217,208,178,202,221,191,190,189,188,234,233,216,244,266,290,220,207,248,90,89,87,84,83,82,81,80,3,166,153,177,193,204,192,257,201,2,4,86,213,182,209,251,223,227,279,239])).
% 1.66/1.74 cnf(648,plain,
% 1.66/1.74 (P1(f35(f36(f30(a29),f3(a41)),f3(a41)))),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,128,145,97,142,122,125,127,144,94,135,102,107,119,96,101,118,341,438,309,585,594,630,637,325,464,313,363,443,457,311,319,327,361,367,335,306,337,355,315,317,321,329,331,261,195,231,155,167,150,165,158,198,217,208,178,202,221,191,190,189,188,234,233,216,244,266,290,220,207,248,90,89,87,84,83,82,81,80,3,166,153,177,193,204,192,257,201,2,4,86,213,182,209,251,223,227,279,239,85,164])).
% 1.66/1.74 cnf(650,plain,
% 1.66/1.74 (~E(f3(a41),a29)),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,128,145,97,142,122,125,127,144,94,135,102,107,119,96,101,118,341,438,309,585,594,630,637,325,464,313,363,443,457,311,319,327,361,367,335,306,337,355,315,317,321,329,331,261,195,231,155,167,150,165,158,198,217,208,178,202,221,191,190,189,188,234,233,216,244,266,290,220,207,248,90,89,87,84,83,82,81,80,3,166,153,177,193,204,192,257,201,2,4,86,213,182,209,251,223,227,279,239,85,164,149])).
% 1.66/1.74 cnf(652,plain,
% 1.66/1.74 (~P7(f30(f43(a29)),f30(a29))),
% 1.66/1.74 inference(scs_inference,[],[146,104,110,112,120,128,145,97,142,122,125,127,144,94,135,102,107,119,96,101,118,341,438,309,585,594,630,637,325,464,313,363,443,457,311,319,327,361,367,335,306,337,355,315,317,321,329,331,261,195,231,155,167,150,165,158,198,217,208,178,202,221,191,190,189,188,234,233,216,244,266,290,220,207,248,90,89,87,84,83,82,81,80,3,166,153,177,193,204,192,257,201,2,4,86,213,182,209,251,223,227,279,239,85,164,149,238])).
% 1.66/1.74 cnf(680,plain,
% 1.66/1.74 (~P3(x6801,f30(a29))),
% 1.66/1.74 inference(rename_variables,[],[309])).
% 1.66/1.74 cnf(684,plain,
% 1.66/1.74 (~P3(x6841,f30(a29))),
% 1.66/1.74 inference(rename_variables,[],[309])).
% 1.66/1.74 cnf(689,plain,
% 1.66/1.74 (~P3(x6891,f30(a29))),
% 1.66/1.74 inference(rename_variables,[],[309])).
% 1.66/1.74 cnf(691,plain,
% 1.66/1.74 (~E(a41,f30(f43(a29)))),
% 1.66/1.74 inference(scs_inference,[],[129,95,124,112,120,104,645,478,466,605,550,309,680,684,331,361,311,355,228,240,280,182,223,218])).
% 1.66/1.74 cnf(694,plain,
% 1.66/1.74 (~P3(x6941,f30(a29))),
% 1.66/1.74 inference(rename_variables,[],[309])).
% 1.66/1.74 cnf(696,plain,
% 1.66/1.74 (~E(a54,a37)),
% 1.66/1.74 inference(scs_inference,[],[105,129,95,109,124,112,120,104,645,478,466,605,462,550,309,680,684,689,331,361,311,355,228,240,280,182,223,218,213,150])).
% 1.66/1.74 cnf(702,plain,
% 1.66/1.74 (~E(f2(f31(a47,a29)),f2(f31(a47,f43(a29))))),
% 1.66/1.74 inference(scs_inference,[],[105,126,129,95,109,124,112,106,120,104,118,645,478,458,466,605,462,550,611,309,680,684,689,331,361,315,311,355,228,240,280,182,223,218,213,150,178,189,261])).
% 1.66/1.74 cnf(708,plain,
% 1.66/1.74 (~P7(a46,f30(a29))),
% 1.66/1.74 inference(scs_inference,[],[105,126,129,95,109,124,112,106,120,102,107,104,101,118,645,478,323,351,458,466,605,462,550,611,309,680,684,689,331,361,315,311,355,367,228,240,280,182,223,218,213,150,178,189,261,216,244,199])).
% 1.66/1.74 cnf(710,plain,
% 1.66/1.74 (~P3(a57,a48)),
% 1.66/1.74 inference(scs_inference,[],[105,126,129,95,109,124,112,106,120,102,107,104,101,118,645,478,323,351,458,466,605,462,550,564,611,309,680,684,689,331,361,315,311,355,367,228,240,280,182,223,218,213,150,178,189,261,216,244,199,208])).
% 1.66/1.74 cnf(727,plain,
% 1.66/1.74 (~P3(x7271,f30(a29))),
% 1.66/1.74 inference(rename_variables,[],[309])).
% 1.66/1.74 cnf(729,plain,
% 1.66/1.74 (~P7(f30(f43(a29)),f35(f36(f30(a29),f3(a41)),f3(a41)))),
% 1.66/1.74 inference(scs_inference,[],[105,126,129,95,136,109,123,124,141,112,106,120,102,107,104,101,118,645,652,584,478,323,351,458,466,603,605,462,550,564,611,309,680,684,689,694,331,361,315,311,355,367,228,240,280,182,223,218,213,150,178,189,261,216,244,199,208,221,195,227,153,204,188,201,220,90])).
% 1.66/1.74 cnf(736,plain,
% 1.66/1.74 (P7(f31(a47,a29),f31(a47,a29))),
% 1.66/1.74 inference(scs_inference,[],[105,126,129,95,98,136,306,109,122,123,124,141,112,106,120,102,107,104,101,118,307,645,652,584,478,323,345,351,458,466,601,603,605,462,550,564,611,309,680,684,689,694,331,361,315,311,355,367,228,240,280,182,223,218,213,150,178,189,261,216,244,199,208,221,195,227,153,204,188,201,220,90,89,84,82,81,192,257])).
% 1.66/1.74 cnf(739,plain,
% 1.66/1.74 (E(a50,f3(a46))),
% 1.66/1.74 inference(scs_inference,[],[105,126,129,95,98,116,136,306,109,122,123,124,141,112,106,120,102,107,104,101,118,307,627,645,652,584,478,323,345,351,458,466,601,603,605,462,550,564,611,309,680,684,689,694,331,361,315,311,355,367,228,240,280,182,223,218,213,150,178,189,261,216,244,199,208,221,195,227,153,204,188,201,220,90,89,84,82,81,192,257,3,2])).
% 1.66/1.74 cnf(740,plain,
% 1.66/1.74 (~P5(f39(a45))),
% 1.66/1.74 inference(scs_inference,[],[105,126,129,95,98,116,136,306,109,122,123,124,141,112,106,120,102,107,104,101,118,307,627,645,652,584,478,323,345,351,458,466,601,603,605,462,550,564,611,309,680,684,689,694,331,361,315,317,311,355,367,228,240,280,182,223,218,213,150,178,189,261,216,244,199,208,221,195,227,153,204,188,201,220,90,89,84,82,81,192,257,3,2,87])).
% 1.66/1.74 cnf(741,plain,
% 1.66/1.74 (P9(a49,f2(a1))),
% 1.66/1.74 inference(scs_inference,[],[105,126,129,95,98,116,136,306,109,122,123,124,141,112,106,120,102,107,104,101,118,307,627,645,652,584,478,323,345,351,458,466,601,603,605,462,550,564,611,634,309,680,684,689,694,331,361,315,317,311,355,367,228,240,280,182,223,218,213,150,178,189,261,216,244,199,208,221,195,227,153,204,188,201,220,90,89,84,82,81,192,257,3,2,87,85])).
% 1.66/1.74 cnf(746,plain,
% 1.66/1.74 (E(f38(x7461,f2(a1)),f38(x7461,a49))),
% 1.66/1.74 inference(rename_variables,[],[438])).
% 1.66/1.74 cnf(749,plain,
% 1.66/1.74 (~P3(x7491,f30(a29))),
% 1.66/1.74 inference(rename_variables,[],[309])).
% 1.66/1.74 cnf(764,plain,
% 1.66/1.74 (P4(f3(a46))),
% 1.66/1.74 inference(scs_inference,[],[105,126,129,95,98,116,136,306,109,122,123,124,141,112,106,120,102,107,104,101,118,307,627,645,652,584,478,323,345,351,458,466,601,603,605,462,550,552,564,611,634,438,309,680,684,689,694,727,749,331,361,315,317,321,311,355,146,367,228,240,280,182,223,218,213,150,178,189,261,216,244,199,208,221,195,227,153,204,188,201,220,90,89,84,82,81,192,257,3,2,87,85,4,245,232,284,282,155,202,209,234,233,88])).
% 1.66/1.74 cnf(782,plain,
% 1.66/1.74 (~P3(a41,x7821)+~E(x7821,f38(a46,a29))),
% 1.66/1.75 inference(scs_inference,[],[105,113,126,129,95,98,116,136,306,109,122,123,124,141,112,106,120,102,107,104,101,118,307,650,627,645,652,584,478,323,345,351,458,466,601,603,605,462,550,552,564,611,634,438,746,309,680,684,689,694,727,749,331,361,315,317,321,311,355,146,367,228,240,280,182,223,218,213,150,178,189,261,216,244,199,208,221,195,227,153,204,188,201,220,90,89,84,82,81,192,257,3,2,87,85,4,245,232,284,282,155,202,209,234,233,88,193,236,304,276,274,264,305,262,226])).
% 1.66/1.75 cnf(784,plain,
% 1.66/1.75 (~P3(a41,f38(a46,a29))),
% 1.66/1.75 inference(equality_inference,[],[782])).
% 1.66/1.75 cnf(790,plain,
% 1.66/1.75 (~P3(x7901,f30(a29))),
% 1.66/1.75 inference(rename_variables,[],[309])).
% 1.66/1.75 cnf(798,plain,
% 1.66/1.75 (E(a37,f30(a29))),
% 1.66/1.75 inference(scs_inference,[],[125,105,118,648,729,764,600,708,696,613,601,564,584,438,309,315,321,311,232,280,182,213,202,199])).
% 1.66/1.75 cnf(802,plain,
% 1.66/1.75 (E(f19(f43(a29)),a29)),
% 1.66/1.75 inference(scs_inference,[],[125,105,118,648,598,472,729,468,764,600,708,696,643,613,601,564,584,438,309,315,321,311,232,280,182,213,202,199,221,195])).
% 1.66/1.75 cnf(807,plain,
% 1.66/1.75 (~P3(x8071,f30(a29))),
% 1.66/1.75 inference(rename_variables,[],[309])).
% 1.66/1.75 cnf(811,plain,
% 1.66/1.75 (~P7(a46,f30(f2(a1)))),
% 1.66/1.75 inference(scs_inference,[],[137,125,124,105,102,107,118,648,598,472,729,468,548,764,568,600,708,696,643,613,464,601,564,584,438,309,790,550,331,315,321,311,232,280,182,213,202,199,221,195,153,220,209,208])).
% 1.66/1.75 cnf(816,plain,
% 1.66/1.75 (~P7(f35(a1,f2(a1)),f30(a29))),
% 1.66/1.75 inference(scs_inference,[],[99,137,133,116,125,121,124,105,102,107,118,736,648,598,472,729,468,548,764,568,600,708,456,696,710,643,613,464,601,564,584,438,309,790,550,331,315,321,311,232,280,182,213,202,199,221,195,153,220,209,208,90,3,81,89])).
% 1.66/1.75 cnf(819,plain,
% 1.66/1.75 (~P3(x8191,f30(a29))),
% 1.66/1.75 inference(rename_variables,[],[309])).
% 1.66/1.75 cnf(820,plain,
% 1.66/1.75 (~P9(a44,f3(f30(a29)))),
% 1.66/1.75 inference(scs_inference,[],[99,137,133,116,125,121,124,106,105,102,107,118,736,648,598,472,729,468,548,602,764,568,600,708,456,696,710,357,643,613,464,601,564,584,438,309,790,807,550,331,315,321,311,232,280,182,213,202,199,221,195,153,220,209,208,90,3,81,89,87,82,85])).
% 1.66/1.75 cnf(822,plain,
% 1.66/1.75 (~E(a44,a29)),
% 1.66/1.75 inference(scs_inference,[],[99,137,133,116,125,121,144,124,106,105,102,107,118,736,648,598,472,729,468,548,602,764,568,600,708,456,696,710,357,643,613,464,601,564,584,307,438,309,790,807,550,331,315,321,311,232,280,182,213,202,199,221,195,153,220,209,208,90,3,81,89,87,82,85,84,2])).
% 1.66/1.75 cnf(826,plain,
% 1.66/1.75 (P3(f25(a41,a44),a41)),
% 1.66/1.75 inference(scs_inference,[],[114,99,137,133,116,125,121,144,124,119,106,105,102,107,118,736,702,648,598,472,729,468,548,602,764,568,600,708,456,696,710,357,643,613,464,601,564,584,307,438,309,790,807,550,331,315,321,311,232,280,182,213,202,199,221,195,153,220,209,208,90,3,81,89,87,82,85,84,2,4,222,235])).
% 1.66/1.75 cnf(829,plain,
% 1.66/1.75 (~P3(x8291,f30(a29))),
% 1.66/1.75 inference(rename_variables,[],[309])).
% 1.66/1.75 cnf(831,plain,
% 1.66/1.75 (P4(f24(a46,a50,f30(a29)))),
% 1.66/1.75 inference(scs_inference,[],[114,99,137,133,116,125,121,95,144,124,119,106,105,102,107,118,736,702,648,598,472,729,468,548,602,764,568,600,708,456,696,710,357,643,613,464,601,552,564,584,307,438,309,790,807,819,829,550,331,315,321,311,232,280,182,213,202,199,221,195,153,220,209,208,90,3,81,89,87,82,85,84,2,4,222,235,200,277])).
% 1.66/1.75 cnf(852,plain,
% 1.66/1.75 (~P9(a44,f25(a41,a44))),
% 1.66/1.75 inference(scs_inference,[],[114,99,137,133,116,125,121,95,144,124,112,119,106,105,120,102,107,118,736,702,648,598,472,729,468,636,548,602,764,568,600,708,739,456,696,710,357,643,613,464,601,605,552,564,584,307,438,309,790,807,819,829,550,331,315,321,311,232,280,182,213,202,199,221,195,153,220,209,208,90,3,81,89,87,82,85,84,2,4,222,235,200,277,203,236,228,187,272,270,246,242,291,249])).
% 1.66/1.75 cnf(858,plain,
% 1.66/1.75 (~P3(x8581,f30(a29))),
% 1.66/1.75 inference(rename_variables,[],[309])).
% 1.66/1.75 cnf(869,plain,
% 1.66/1.75 (P3(f28(f43(a29),a41),a41)),
% 1.66/1.75 inference(scs_inference,[],[119,101,118,691,816,802,822,468,438,309,321,355,311,251,224,176,163,232,248])).
% 1.66/1.75 cnf(874,plain,
% 1.66/1.75 (~P7(f39(a45),a53)),
% 1.66/1.75 inference(scs_inference,[],[102,107,119,101,118,691,816,740,593,802,822,468,438,309,858,321,367,355,311,251,224,176,163,232,248,280,178])).
% 1.66/1.75 cnf(876,plain,
% 1.66/1.75 (~P3(f3(a48),a37)),
% 1.66/1.75 inference(scs_inference,[],[102,107,119,101,118,691,816,740,593,802,798,822,468,613,438,309,858,321,367,355,311,251,224,176,163,232,248,280,178,202])).
% 1.66/1.75 cnf(878,plain,
% 1.66/1.75 (~P7(a1,f30(f2(a1)))),
% 1.66/1.75 inference(scs_inference,[],[130,102,107,119,105,101,118,691,816,740,593,802,811,798,609,822,468,613,438,464,309,858,321,367,355,311,251,224,176,163,232,248,280,178,202,227])).
% 1.66/1.75 cnf(890,plain,
% 1.66/1.75 (E(a44,f43(a50))),
% 1.66/1.75 inference(scs_inference,[],[94,130,100,145,142,126,121,124,102,107,119,105,101,118,691,816,740,593,784,802,811,820,570,798,609,822,468,457,568,613,438,464,309,858,462,321,367,355,311,251,224,176,163,232,248,280,178,202,227,208,90,3,89,87,85,84,81,82,2])).
% 1.66/1.75 cnf(894,plain,
% 1.66/1.75 (P3(f19(f43(a29)),f30(f43(f43(a29))))),
% 1.66/1.75 inference(scs_inference,[],[94,130,100,140,145,142,126,121,111,124,102,107,119,105,101,118,691,474,816,740,593,784,802,811,820,570,798,609,822,468,457,568,613,438,464,309,858,462,321,367,355,311,251,224,176,163,232,248,280,178,202,227,208,90,3,89,87,85,84,81,82,2,4,298,245])).
% 1.66/1.75 cnf(896,plain,
% 1.66/1.75 (P9(f43(f25(a41,a44)),a44)),
% 1.66/1.75 inference(scs_inference,[],[94,130,100,140,145,142,126,121,111,124,102,107,119,105,101,118,691,474,816,740,593,784,802,811,820,852,570,798,826,609,822,468,457,568,613,438,464,309,858,462,321,367,355,311,251,224,176,163,232,248,280,178,202,227,208,90,3,89,87,85,84,81,82,2,4,298,245,221])).
% 1.66/1.75 cnf(916,plain,
% 1.66/1.75 (~P3(x9161,f30(a29))),
% 1.66/1.75 inference(rename_variables,[],[309])).
% 1.66/1.75 cnf(928,plain,
% 1.66/1.75 (~P3(a57,a1)),
% 1.66/1.75 inference(scs_inference,[],[128,134,123,102,104,101,118,894,878,869,460,691,802,710,361,464,309,916,355,311,279,223,203,232,280,234,208])).
% 1.66/1.75 cnf(935,plain,
% 1.66/1.75 (~P5(f34(a51,f32(a52,f40(a52))))),
% 1.66/1.75 inference(scs_inference,[],[117,139,128,134,141,306,123,102,104,101,118,894,896,878,869,741,874,890,460,691,802,710,611,361,464,309,916,355,311,279,223,203,232,280,234,208,90,3,89,85,84,87])).
% 1.66/1.75 cnf(1117,plain,
% 1.66/1.75 ($false),
% 1.66/1.75 inference(scs_inference,[],[95,113,129,136,109,127,309,124,123,120,106,104,935,629,876,928,363,626,831,878,601,552,710,460,464,462,315,355,311,154,186,185,184,175,174,161,159,152,196,273,169,156,168,194,171,170,160,157,151,79,78,77,74,71,70,67,66,64,63,61,60,54,52,51,45,44,43,40,38,35,34,32,31,29,27,26,25,23,19,17,15,14,12,10,6,269,271,190,225,240,162,180,266,290,5,76,75,73,72,69,68,65,62,59,58,57,56,55,53,50,49,48,47,46,42,41,39,37,36,33,30,28,24,22,21,20,18,13,11,9,8,7,191,16,223,182,232,234,220,227,178,208]),
% 1.66/1.75 ['proof']).
% 1.66/1.75 % SZS output end Proof
% 1.66/1.75 % Total time :1.020000s
%------------------------------------------------------------------------------