TSTP Solution File: NUM587+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM587+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 : n017.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 10:23:18 EDT 2023
% Result : Theorem 0.92s 1.00s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM587+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Aug 25 14:13:25 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.51 start to proof:theBenchmark
% 0.87/0.97 %-------------------------------------------
% 0.87/0.97 % File :CSE---1.6
% 0.87/0.97 % Problem :theBenchmark
% 0.87/0.97 % Transform :cnf
% 0.87/0.97 % Format :tptp:raw
% 0.87/0.97 % Command :java -jar mcs_scs.jar %d %s
% 0.87/0.97
% 0.87/0.97 % Result :Theorem 0.380000s
% 0.87/0.97 % Output :CNFRefutation 0.380000s
% 0.87/0.97 %-------------------------------------------
% 0.92/0.98 %------------------------------------------------------------------------------
% 0.92/0.98 % File : NUM587+1 : TPTP v8.1.2. Released v4.0.0.
% 0.92/0.98 % Domain : Number Theory
% 0.92/0.98 % Problem : Ramsey's Infinite Theorem 15_02_08_03, 00 expansion
% 0.92/0.98 % Version : Especial.
% 0.92/0.98 % English :
% 0.92/0.98
% 0.92/0.98 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.92/0.98 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.92/0.98 % Source : [Pas08]
% 0.92/0.98 % Names : ramsey_15_02_08_03.00 [Pas08]
% 0.92/0.98
% 0.92/0.98 % Status : Theorem
% 0.92/0.98 % Rating : 0.28 v8.1.0, 0.22 v7.5.0, 0.28 v7.4.0, 0.20 v7.3.0, 0.17 v7.1.0, 0.26 v7.0.0, 0.27 v6.4.0, 0.31 v6.3.0, 0.21 v6.2.0, 0.24 v6.1.0, 0.33 v6.0.0, 0.26 v5.5.0, 0.37 v5.4.0, 0.43 v5.3.0, 0.52 v5.2.0, 0.35 v5.1.0, 0.48 v5.0.0, 0.54 v4.1.0, 0.57 v4.0.1, 0.83 v4.0.0
% 0.92/0.98 % Syntax : Number of formulae : 91 ( 9 unt; 11 def)
% 0.92/0.98 % Number of atoms : 351 ( 62 equ)
% 0.92/0.98 % Maximal formula atoms : 12 ( 3 avg)
% 0.92/0.98 % Number of connectives : 284 ( 24 ~; 4 |; 111 &)
% 0.92/0.98 % ( 22 <=>; 123 =>; 0 <=; 0 <~>)
% 0.92/0.98 % Maximal formula depth : 15 ( 5 avg)
% 0.92/0.98 % Maximal term depth : 5 ( 1 avg)
% 0.92/0.98 % Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% 0.92/0.98 % Number of functors : 27 ( 27 usr; 13 con; 0-2 aty)
% 0.92/0.98 % Number of variables : 155 ( 147 !; 8 ?)
% 0.92/0.98 % SPC : FOF_THM_RFO_SEQ
% 0.92/0.98
% 0.92/0.98 % Comments : Problem generated by the SAD system [VLP07]
% 0.92/0.98 %------------------------------------------------------------------------------
% 0.92/0.98 fof(mSetSort,axiom,
% 0.92/0.98 ! [W0] :
% 0.92/0.98 ( aSet0(W0)
% 0.92/0.98 => $true ) ).
% 0.92/0.98
% 0.92/0.98 fof(mElmSort,axiom,
% 0.92/0.98 ! [W0] :
% 0.92/0.98 ( aElement0(W0)
% 0.92/0.98 => $true ) ).
% 0.92/0.98
% 0.92/0.98 fof(mEOfElem,axiom,
% 0.92/0.98 ! [W0] :
% 0.92/0.98 ( aSet0(W0)
% 0.92/0.98 => ! [W1] :
% 0.92/0.98 ( aElementOf0(W1,W0)
% 0.92/0.98 => aElement0(W1) ) ) ).
% 0.92/0.98
% 0.92/0.98 fof(mFinRel,axiom,
% 0.92/0.98 ! [W0] :
% 0.92/0.98 ( aSet0(W0)
% 0.92/0.98 => ( isFinite0(W0)
% 0.92/0.98 => $true ) ) ).
% 0.92/0.98
% 0.92/0.98 fof(mDefEmp,definition,
% 0.92/0.98 ! [W0] :
% 0.92/0.98 ( W0 = slcrc0
% 0.92/0.98 <=> ( aSet0(W0)
% 0.92/0.98 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ).
% 0.92/0.98
% 0.92/0.98 fof(mEmpFin,axiom,
% 0.92/0.98 isFinite0(slcrc0) ).
% 0.92/0.98
% 0.92/0.98 fof(mCntRel,axiom,
% 0.92/0.98 ! [W0] :
% 0.92/0.98 ( aSet0(W0)
% 0.92/0.98 => ( isCountable0(W0)
% 0.92/0.98 => $true ) ) ).
% 0.92/0.98
% 0.92/0.98 fof(mCountNFin,axiom,
% 0.92/0.98 ! [W0] :
% 0.92/0.98 ( ( aSet0(W0)
% 0.92/0.98 & isCountable0(W0) )
% 0.92/0.98 => ~ isFinite0(W0) ) ).
% 0.92/0.98
% 0.92/0.98 fof(mCountNFin_01,axiom,
% 0.92/0.98 ! [W0] :
% 0.92/0.98 ( ( aSet0(W0)
% 0.92/0.98 & isCountable0(W0) )
% 0.92/0.98 => W0 != slcrc0 ) ).
% 0.92/0.98
% 0.92/0.98 fof(mDefSub,definition,
% 0.92/0.98 ! [W0] :
% 0.92/0.98 ( aSet0(W0)
% 0.92/0.98 => ! [W1] :
% 0.92/0.98 ( aSubsetOf0(W1,W0)
% 0.92/0.98 <=> ( aSet0(W1)
% 0.92/0.98 & ! [W2] :
% 0.92/0.98 ( aElementOf0(W2,W1)
% 0.92/0.98 => aElementOf0(W2,W0) ) ) ) ) ).
% 0.92/0.98
% 0.92/0.98 fof(mSubFSet,axiom,
% 0.92/0.98 ! [W0] :
% 0.92/0.98 ( ( aSet0(W0)
% 0.92/0.98 & isFinite0(W0) )
% 0.92/0.98 => ! [W1] :
% 0.92/0.98 ( aSubsetOf0(W1,W0)
% 0.92/0.98 => isFinite0(W1) ) ) ).
% 0.92/0.98
% 0.92/0.98 fof(mSubRefl,axiom,
% 0.92/0.98 ! [W0] :
% 0.92/0.98 ( aSet0(W0)
% 0.92/0.98 => aSubsetOf0(W0,W0) ) ).
% 0.92/0.98
% 0.92/0.98 fof(mSubASymm,axiom,
% 0.92/0.98 ! [W0,W1] :
% 0.92/0.98 ( ( aSet0(W0)
% 0.92/0.98 & aSet0(W1) )
% 0.92/0.98 => ( ( aSubsetOf0(W0,W1)
% 0.92/0.98 & aSubsetOf0(W1,W0) )
% 0.92/0.98 => W0 = W1 ) ) ).
% 0.92/0.98
% 0.92/0.98 fof(mSubTrans,axiom,
% 0.92/0.98 ! [W0,W1,W2] :
% 0.92/0.98 ( ( aSet0(W0)
% 0.92/0.98 & aSet0(W1)
% 0.92/0.98 & aSet0(W2) )
% 0.92/0.98 => ( ( aSubsetOf0(W0,W1)
% 0.92/0.98 & aSubsetOf0(W1,W2) )
% 0.92/0.98 => aSubsetOf0(W0,W2) ) ) ).
% 0.92/0.98
% 0.92/0.98 fof(mDefCons,definition,
% 0.92/0.98 ! [W0,W1] :
% 0.92/0.98 ( ( aSet0(W0)
% 0.92/0.98 & aElement0(W1) )
% 0.92/0.98 => ! [W2] :
% 0.92/0.98 ( W2 = sdtpldt0(W0,W1)
% 0.92/0.98 <=> ( aSet0(W2)
% 0.92/0.98 & ! [W3] :
% 0.92/0.98 ( aElementOf0(W3,W2)
% 0.92/0.98 <=> ( aElement0(W3)
% 0.92/0.98 & ( aElementOf0(W3,W0)
% 0.92/0.98 | W3 = W1 ) ) ) ) ) ) ).
% 0.92/0.98
% 0.92/0.98 fof(mDefDiff,definition,
% 0.92/0.98 ! [W0,W1] :
% 0.92/0.98 ( ( aSet0(W0)
% 0.92/0.98 & aElement0(W1) )
% 0.92/0.98 => ! [W2] :
% 0.92/0.98 ( W2 = sdtmndt0(W0,W1)
% 0.92/0.98 <=> ( aSet0(W2)
% 0.92/0.98 & ! [W3] :
% 0.92/0.98 ( aElementOf0(W3,W2)
% 0.92/0.98 <=> ( aElement0(W3)
% 0.92/0.98 & aElementOf0(W3,W0)
% 0.92/0.98 & W3 != W1 ) ) ) ) ) ).
% 0.92/0.98
% 0.92/0.98 fof(mConsDiff,axiom,
% 0.92/0.98 ! [W0] :
% 0.92/0.98 ( aSet0(W0)
% 0.92/0.98 => ! [W1] :
% 0.92/0.98 ( aElementOf0(W1,W0)
% 0.92/0.98 => sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ) ).
% 0.92/0.98
% 0.92/0.98 fof(mDiffCons,axiom,
% 0.92/0.98 ! [W0,W1] :
% 0.92/0.98 ( ( aElement0(W0)
% 0.92/0.98 & aSet0(W1) )
% 0.92/0.98 => ( ~ aElementOf0(W0,W1)
% 0.92/0.98 => sdtmndt0(sdtpldt0(W1,W0),W0) = W1 ) ) ).
% 0.92/0.98
% 0.92/0.98 fof(mCConsSet,axiom,
% 0.92/0.98 ! [W0] :
% 0.92/0.98 ( aElement0(W0)
% 0.92/0.98 => ! [W1] :
% 0.92/0.98 ( ( aSet0(W1)
% 0.92/0.98 & isCountable0(W1) )
% 0.92/0.98 => isCountable0(sdtpldt0(W1,W0)) ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mCDiffSet,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( aElement0(W0)
% 0.92/0.99 => ! [W1] :
% 0.92/0.99 ( ( aSet0(W1)
% 0.92/0.99 & isCountable0(W1) )
% 0.92/0.99 => isCountable0(sdtmndt0(W1,W0)) ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mFConsSet,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( aElement0(W0)
% 0.92/0.99 => ! [W1] :
% 0.92/0.99 ( ( aSet0(W1)
% 0.92/0.99 & isFinite0(W1) )
% 0.92/0.99 => isFinite0(sdtpldt0(W1,W0)) ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mFDiffSet,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( aElement0(W0)
% 0.92/0.99 => ! [W1] :
% 0.92/0.99 ( ( aSet0(W1)
% 0.92/0.99 & isFinite0(W1) )
% 0.92/0.99 => isFinite0(sdtmndt0(W1,W0)) ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mNATSet,axiom,
% 0.92/0.99 ( aSet0(szNzAzT0)
% 0.92/0.99 & isCountable0(szNzAzT0) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mZeroNum,axiom,
% 0.92/0.99 aElementOf0(sz00,szNzAzT0) ).
% 0.92/0.99
% 0.92/0.99 fof(mSuccNum,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( aElementOf0(W0,szNzAzT0)
% 0.92/0.99 => ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
% 0.92/0.99 & szszuzczcdt0(W0) != sz00 ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mSuccEquSucc,axiom,
% 0.92/0.99 ! [W0,W1] :
% 0.92/0.99 ( ( aElementOf0(W0,szNzAzT0)
% 0.92/0.99 & aElementOf0(W1,szNzAzT0) )
% 0.92/0.99 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 0.92/0.99 => W0 = W1 ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mNatExtra,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( aElementOf0(W0,szNzAzT0)
% 0.92/0.99 => ( W0 = sz00
% 0.92/0.99 | ? [W1] :
% 0.92/0.99 ( aElementOf0(W1,szNzAzT0)
% 0.92/0.99 & W0 = szszuzczcdt0(W1) ) ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mNatNSucc,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( aElementOf0(W0,szNzAzT0)
% 0.92/0.99 => W0 != szszuzczcdt0(W0) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mLessRel,axiom,
% 0.92/0.99 ! [W0,W1] :
% 0.92/0.99 ( ( aElementOf0(W0,szNzAzT0)
% 0.92/0.99 & aElementOf0(W1,szNzAzT0) )
% 0.92/0.99 => ( sdtlseqdt0(W0,W1)
% 0.92/0.99 => $true ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mZeroLess,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( aElementOf0(W0,szNzAzT0)
% 0.92/0.99 => sdtlseqdt0(sz00,W0) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mNoScLessZr,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( aElementOf0(W0,szNzAzT0)
% 0.92/0.99 => ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mSuccLess,axiom,
% 0.92/0.99 ! [W0,W1] :
% 0.92/0.99 ( ( aElementOf0(W0,szNzAzT0)
% 0.92/0.99 & aElementOf0(W1,szNzAzT0) )
% 0.92/0.99 => ( sdtlseqdt0(W0,W1)
% 0.92/0.99 <=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mLessSucc,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( aElementOf0(W0,szNzAzT0)
% 0.92/0.99 => sdtlseqdt0(W0,szszuzczcdt0(W0)) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mLessRefl,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( aElementOf0(W0,szNzAzT0)
% 0.92/0.99 => sdtlseqdt0(W0,W0) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mLessASymm,axiom,
% 0.92/0.99 ! [W0,W1] :
% 0.92/0.99 ( ( aElementOf0(W0,szNzAzT0)
% 0.92/0.99 & aElementOf0(W1,szNzAzT0) )
% 0.92/0.99 => ( ( sdtlseqdt0(W0,W1)
% 0.92/0.99 & sdtlseqdt0(W1,W0) )
% 0.92/0.99 => W0 = W1 ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mLessTrans,axiom,
% 0.92/0.99 ! [W0,W1,W2] :
% 0.92/0.99 ( ( aElementOf0(W0,szNzAzT0)
% 0.92/0.99 & aElementOf0(W1,szNzAzT0)
% 0.92/0.99 & aElementOf0(W2,szNzAzT0) )
% 0.92/0.99 => ( ( sdtlseqdt0(W0,W1)
% 0.92/0.99 & sdtlseqdt0(W1,W2) )
% 0.92/0.99 => sdtlseqdt0(W0,W2) ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mLessTotal,axiom,
% 0.92/0.99 ! [W0,W1] :
% 0.92/0.99 ( ( aElementOf0(W0,szNzAzT0)
% 0.92/0.99 & aElementOf0(W1,szNzAzT0) )
% 0.92/0.99 => ( sdtlseqdt0(W0,W1)
% 0.92/0.99 | sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mIHSort,axiom,
% 0.92/0.99 ! [W0,W1] :
% 0.92/0.99 ( ( aElementOf0(W0,szNzAzT0)
% 0.92/0.99 & aElementOf0(W1,szNzAzT0) )
% 0.92/0.99 => ( iLess0(W0,W1)
% 0.92/0.99 => $true ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mIH,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( aElementOf0(W0,szNzAzT0)
% 0.92/0.99 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mCardS,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( aSet0(W0)
% 0.92/0.99 => aElement0(sbrdtbr0(W0)) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mCardNum,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( aSet0(W0)
% 0.92/0.99 => ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
% 0.92/0.99 <=> isFinite0(W0) ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mCardEmpty,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( aSet0(W0)
% 0.92/0.99 => ( sbrdtbr0(W0) = sz00
% 0.92/0.99 <=> W0 = slcrc0 ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mCardCons,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( ( aSet0(W0)
% 0.92/0.99 & isFinite0(W0) )
% 0.92/0.99 => ! [W1] :
% 0.92/0.99 ( aElement0(W1)
% 0.92/0.99 => ( ~ aElementOf0(W1,W0)
% 0.92/0.99 => sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mCardDiff,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( aSet0(W0)
% 0.92/0.99 => ! [W1] :
% 0.92/0.99 ( ( isFinite0(W0)
% 0.92/0.99 & aElementOf0(W1,W0) )
% 0.92/0.99 => szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mCardSub,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( aSet0(W0)
% 0.92/0.99 => ! [W1] :
% 0.92/0.99 ( ( isFinite0(W0)
% 0.92/0.99 & aSubsetOf0(W1,W0) )
% 0.92/0.99 => sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mCardSubEx,axiom,
% 0.92/0.99 ! [W0,W1] :
% 0.92/0.99 ( ( aSet0(W0)
% 0.92/0.99 & aElementOf0(W1,szNzAzT0) )
% 0.92/0.99 => ( ( isFinite0(W0)
% 0.92/0.99 & sdtlseqdt0(W1,sbrdtbr0(W0)) )
% 0.92/0.99 => ? [W2] :
% 0.92/0.99 ( aSubsetOf0(W2,W0)
% 0.92/0.99 & sbrdtbr0(W2) = W1 ) ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mDefMin,definition,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.92/0.99 & W0 != slcrc0 )
% 0.92/0.99 => ! [W1] :
% 0.92/0.99 ( W1 = szmzizndt0(W0)
% 0.92/0.99 <=> ( aElementOf0(W1,W0)
% 0.92/0.99 & ! [W2] :
% 0.92/0.99 ( aElementOf0(W2,W0)
% 0.92/0.99 => sdtlseqdt0(W1,W2) ) ) ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mDefMax,definition,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.92/0.99 & isFinite0(W0)
% 0.92/0.99 & W0 != slcrc0 )
% 0.92/0.99 => ! [W1] :
% 0.92/0.99 ( W1 = szmzazxdt0(W0)
% 0.92/0.99 <=> ( aElementOf0(W1,W0)
% 0.92/0.99 & ! [W2] :
% 0.92/0.99 ( aElementOf0(W2,W0)
% 0.92/0.99 => sdtlseqdt0(W2,W1) ) ) ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mMinMin,axiom,
% 0.92/0.99 ! [W0,W1] :
% 0.92/0.99 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.92/0.99 & aSubsetOf0(W1,szNzAzT0)
% 0.92/0.99 & W0 != slcrc0
% 0.92/0.99 & W1 != slcrc0 )
% 0.92/0.99 => ( ( aElementOf0(szmzizndt0(W0),W1)
% 0.92/0.99 & aElementOf0(szmzizndt0(W1),W0) )
% 0.92/0.99 => szmzizndt0(W0) = szmzizndt0(W1) ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mDefSeg,definition,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( aElementOf0(W0,szNzAzT0)
% 0.92/0.99 => ! [W1] :
% 0.92/0.99 ( W1 = slbdtrb0(W0)
% 0.92/0.99 <=> ( aSet0(W1)
% 0.92/0.99 & ! [W2] :
% 0.92/0.99 ( aElementOf0(W2,W1)
% 0.92/0.99 <=> ( aElementOf0(W2,szNzAzT0)
% 0.92/0.99 & sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mSegFin,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( aElementOf0(W0,szNzAzT0)
% 0.92/0.99 => isFinite0(slbdtrb0(W0)) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mSegZero,axiom,
% 0.92/0.99 slbdtrb0(sz00) = slcrc0 ).
% 0.92/0.99
% 0.92/0.99 fof(mSegSucc,axiom,
% 0.92/0.99 ! [W0,W1] :
% 0.92/0.99 ( ( aElementOf0(W0,szNzAzT0)
% 0.92/0.99 & aElementOf0(W1,szNzAzT0) )
% 0.92/0.99 => ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1)))
% 0.92/0.99 <=> ( aElementOf0(W0,slbdtrb0(W1))
% 0.92/0.99 | W0 = W1 ) ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mSegLess,axiom,
% 0.92/0.99 ! [W0,W1] :
% 0.92/0.99 ( ( aElementOf0(W0,szNzAzT0)
% 0.92/0.99 & aElementOf0(W1,szNzAzT0) )
% 0.92/0.99 => ( sdtlseqdt0(W0,W1)
% 0.92/0.99 <=> aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)) ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mFinSubSeg,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.92/0.99 & isFinite0(W0) )
% 0.92/0.99 => ? [W1] :
% 0.92/0.99 ( aElementOf0(W1,szNzAzT0)
% 0.92/0.99 & aSubsetOf0(W0,slbdtrb0(W1)) ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mCardSeg,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( aElementOf0(W0,szNzAzT0)
% 0.92/0.99 => sbrdtbr0(slbdtrb0(W0)) = W0 ) ).
% 0.92/0.99
% 0.92/0.99 fof(mDefSel,definition,
% 0.92/0.99 ! [W0,W1] :
% 0.92/0.99 ( ( aSet0(W0)
% 0.92/0.99 & aElementOf0(W1,szNzAzT0) )
% 0.92/0.99 => ! [W2] :
% 0.92/0.99 ( W2 = slbdtsldtrb0(W0,W1)
% 0.92/0.99 <=> ( aSet0(W2)
% 0.92/0.99 & ! [W3] :
% 0.92/0.99 ( aElementOf0(W3,W2)
% 0.92/0.99 <=> ( aSubsetOf0(W3,W0)
% 0.92/0.99 & sbrdtbr0(W3) = W1 ) ) ) ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mSelFSet,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( ( aSet0(W0)
% 0.92/0.99 & isFinite0(W0) )
% 0.92/0.99 => ! [W1] :
% 0.92/0.99 ( aElementOf0(W1,szNzAzT0)
% 0.92/0.99 => isFinite0(slbdtsldtrb0(W0,W1)) ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mSelNSet,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( ( aSet0(W0)
% 0.92/0.99 & ~ isFinite0(W0) )
% 0.92/0.99 => ! [W1] :
% 0.92/0.99 ( aElementOf0(W1,szNzAzT0)
% 0.92/0.99 => slbdtsldtrb0(W0,W1) != slcrc0 ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mSelCSet,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( ( aSet0(W0)
% 0.92/0.99 & isCountable0(W0) )
% 0.92/0.99 => ! [W1] :
% 0.92/0.99 ( ( aElementOf0(W1,szNzAzT0)
% 0.92/0.99 & W1 != sz00 )
% 0.92/0.99 => isCountable0(slbdtsldtrb0(W0,W1)) ) ) ).
% 0.92/0.99
% 0.92/0.99 fof(mSelSub,axiom,
% 0.92/0.99 ! [W0] :
% 0.92/0.99 ( aElementOf0(W0,szNzAzT0)
% 0.92/0.99 => ! [W1,W2] :
% 0.92/0.99 ( ( aSet0(W1)
% 0.92/1.00 & aSet0(W2)
% 0.92/1.00 & W0 != sz00 )
% 0.92/1.00 => ( ( aSubsetOf0(slbdtsldtrb0(W1,W0),slbdtsldtrb0(W2,W0))
% 0.92/1.00 & slbdtsldtrb0(W1,W0) != slcrc0 )
% 0.92/1.00 => aSubsetOf0(W1,W2) ) ) ) ).
% 0.92/1.00
% 0.92/1.00 fof(mSelExtra,axiom,
% 0.92/1.00 ! [W0,W1] :
% 0.92/1.00 ( ( aSet0(W0)
% 0.92/1.00 & aElementOf0(W1,szNzAzT0) )
% 0.92/1.00 => ! [W2] :
% 0.92/1.00 ( ( aSubsetOf0(W2,slbdtsldtrb0(W0,W1))
% 0.92/1.00 & isFinite0(W2) )
% 0.92/1.00 => ? [W3] :
% 0.92/1.00 ( aSubsetOf0(W3,W0)
% 0.92/1.00 & isFinite0(W3)
% 0.92/1.00 & aSubsetOf0(W2,slbdtsldtrb0(W3,W1)) ) ) ) ).
% 0.92/1.00
% 0.92/1.00 fof(mFunSort,axiom,
% 0.92/1.00 ! [W0] :
% 0.92/1.00 ( aFunction0(W0)
% 0.92/1.00 => $true ) ).
% 0.92/1.00
% 0.92/1.00 fof(mDomSet,axiom,
% 0.92/1.00 ! [W0] :
% 0.92/1.00 ( aFunction0(W0)
% 0.92/1.00 => aSet0(szDzozmdt0(W0)) ) ).
% 0.92/1.00
% 0.92/1.00 fof(mImgElm,axiom,
% 0.92/1.00 ! [W0] :
% 0.92/1.00 ( aFunction0(W0)
% 0.92/1.00 => ! [W1] :
% 0.92/1.00 ( aElementOf0(W1,szDzozmdt0(W0))
% 0.92/1.00 => aElement0(sdtlpdtrp0(W0,W1)) ) ) ).
% 0.92/1.00
% 0.92/1.00 fof(mDefPtt,definition,
% 0.92/1.00 ! [W0,W1] :
% 0.92/1.00 ( ( aFunction0(W0)
% 0.92/1.00 & aElement0(W1) )
% 0.92/1.00 => ! [W2] :
% 0.92/1.00 ( W2 = sdtlbdtrb0(W0,W1)
% 0.92/1.00 <=> ( aSet0(W2)
% 0.92/1.00 & ! [W3] :
% 0.92/1.00 ( aElementOf0(W3,W2)
% 0.92/1.00 <=> ( aElementOf0(W3,szDzozmdt0(W0))
% 0.92/1.00 & sdtlpdtrp0(W0,W3) = W1 ) ) ) ) ) ).
% 0.92/1.00
% 0.92/1.00 fof(mPttSet,axiom,
% 0.92/1.00 ! [W0,W1] :
% 0.92/1.00 ( ( aFunction0(W0)
% 0.92/1.00 & aElement0(W1) )
% 0.92/1.00 => aSubsetOf0(sdtlbdtrb0(W0,W1),szDzozmdt0(W0)) ) ).
% 0.92/1.00
% 0.92/1.00 fof(mDefSImg,definition,
% 0.92/1.00 ! [W0] :
% 0.92/1.00 ( aFunction0(W0)
% 0.92/1.00 => ! [W1] :
% 0.92/1.00 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 0.92/1.00 => ! [W2] :
% 0.92/1.00 ( W2 = sdtlcdtrc0(W0,W1)
% 0.92/1.00 <=> ( aSet0(W2)
% 0.92/1.00 & ! [W3] :
% 0.92/1.00 ( aElementOf0(W3,W2)
% 0.92/1.00 <=> ? [W4] :
% 0.92/1.00 ( aElementOf0(W4,W1)
% 0.92/1.00 & sdtlpdtrp0(W0,W4) = W3 ) ) ) ) ) ) ).
% 0.92/1.00
% 0.92/1.00 fof(mImgRng,axiom,
% 0.92/1.00 ! [W0] :
% 0.92/1.00 ( aFunction0(W0)
% 0.92/1.00 => ! [W1] :
% 0.92/1.00 ( aElementOf0(W1,szDzozmdt0(W0))
% 0.92/1.00 => aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))) ) ) ).
% 0.92/1.00
% 0.92/1.00 fof(mDefRst,definition,
% 0.92/1.00 ! [W0] :
% 0.92/1.00 ( aFunction0(W0)
% 0.92/1.00 => ! [W1] :
% 0.92/1.00 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 0.92/1.00 => ! [W2] :
% 0.92/1.00 ( W2 = sdtexdt0(W0,W1)
% 0.92/1.00 <=> ( aFunction0(W2)
% 0.92/1.00 & szDzozmdt0(W2) = W1
% 0.92/1.00 & ! [W3] :
% 0.92/1.00 ( aElementOf0(W3,W1)
% 0.92/1.00 => sdtlpdtrp0(W2,W3) = sdtlpdtrp0(W0,W3) ) ) ) ) ) ).
% 0.92/1.00
% 0.92/1.00 fof(mImgCount,axiom,
% 0.92/1.00 ! [W0] :
% 0.92/1.00 ( aFunction0(W0)
% 0.92/1.00 => ! [W1] :
% 0.92/1.00 ( ( aSubsetOf0(W1,szDzozmdt0(W0))
% 0.92/1.00 & isCountable0(W1) )
% 0.92/1.00 => ( ! [W2,W3] :
% 0.92/1.00 ( ( aElementOf0(W2,szDzozmdt0(W0))
% 0.92/1.00 & aElementOf0(W3,szDzozmdt0(W0))
% 0.92/1.00 & W2 != W3 )
% 0.92/1.00 => sdtlpdtrp0(W0,W2) != sdtlpdtrp0(W0,W3) )
% 0.92/1.00 => isCountable0(sdtlcdtrc0(W0,W1)) ) ) ) ).
% 0.92/1.00
% 0.92/1.00 fof(mDirichlet,axiom,
% 0.92/1.00 ! [W0] :
% 0.92/1.00 ( aFunction0(W0)
% 0.92/1.00 => ( ( isCountable0(szDzozmdt0(W0))
% 0.92/1.00 & isFinite0(sdtlcdtrc0(W0,szDzozmdt0(W0))) )
% 0.92/1.00 => ( aElement0(szDzizrdt0(W0))
% 0.92/1.00 & isCountable0(sdtlbdtrb0(W0,szDzizrdt0(W0))) ) ) ) ).
% 0.92/1.00
% 0.92/1.00 fof(m__3291,hypothesis,
% 0.92/1.00 ( aSet0(xT)
% 0.92/1.00 & isFinite0(xT) ) ).
% 0.92/1.00
% 0.92/1.00 fof(m__3418,hypothesis,
% 0.92/1.00 aElementOf0(xK,szNzAzT0) ).
% 0.92/1.00
% 0.92/1.00 fof(m__3435,hypothesis,
% 0.92/1.00 ( aSubsetOf0(xS,szNzAzT0)
% 0.92/1.00 & isCountable0(xS) ) ).
% 0.92/1.00
% 0.92/1.00 fof(m__3453,hypothesis,
% 0.92/1.00 ( aFunction0(xc)
% 0.92/1.00 & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
% 0.92/1.00 & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ).
% 0.92/1.00
% 0.92/1.00 fof(m__3398,hypothesis,
% 0.92/1.00 ! [W0] :
% 0.92/1.00 ( aElementOf0(W0,szNzAzT0)
% 0.92/1.00 => ! [W1] :
% 0.92/1.00 ( ( aSubsetOf0(W1,szNzAzT0)
% 0.92/1.00 & isCountable0(W1) )
% 0.92/1.00 => ! [W2] :
% 0.92/1.00 ( ( aFunction0(W2)
% 0.92/1.00 & szDzozmdt0(W2) = slbdtsldtrb0(W1,W0)
% 0.92/1.00 & aSubsetOf0(sdtlcdtrc0(W2,szDzozmdt0(W2)),xT) )
% 0.92/1.00 => ( iLess0(W0,xK)
% 0.92/1.00 => ? [W3] :
% 0.92/1.00 ( aElementOf0(W3,xT)
% 0.92/1.00 & ? [W4] :
% 0.92/1.00 ( aSubsetOf0(W4,W1)
% 0.92/1.00 & isCountable0(W4)
% 0.92/1.00 & ! [W5] :
% 0.92/1.00 ( aElementOf0(W5,slbdtsldtrb0(W4,W0))
% 0.92/1.00 => sdtlpdtrp0(W2,W5) = W3 ) ) ) ) ) ) ) ).
% 0.92/1.00
% 0.92/1.00 fof(m__3462,hypothesis,
% 0.92/1.00 xK != sz00 ).
% 0.92/1.00
% 0.92/1.00 fof(m__3520,hypothesis,
% 0.92/1.00 xK != sz00 ).
% 0.92/1.00
% 0.92/1.00 fof(m__3533,hypothesis,
% 0.92/1.00 ( aElementOf0(xk,szNzAzT0)
% 0.92/1.00 & szszuzczcdt0(xk) = xK ) ).
% 0.92/1.00
% 0.92/1.00 fof(m__3623,hypothesis,
% 0.92/1.00 ( aFunction0(xN)
% 0.92/1.00 & szDzozmdt0(xN) = szNzAzT0
% 0.92/1.00 & sdtlpdtrp0(xN,sz00) = xS
% 0.92/1.00 & ! [W0] :
% 0.92/1.00 ( aElementOf0(W0,szNzAzT0)
% 0.92/1.00 => ( ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
% 0.92/1.00 & isCountable0(sdtlpdtrp0(xN,W0)) )
% 0.92/1.00 => ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 0.92/1.00 & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) ) ).
% 0.92/1.00
% 0.92/1.00 fof(m__3671,hypothesis,
% 0.92/1.00 ! [W0] :
% 0.92/1.00 ( aElementOf0(W0,szNzAzT0)
% 0.92/1.00 => ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
% 0.92/1.00 & isCountable0(sdtlpdtrp0(xN,W0)) ) ) ).
% 0.92/1.00
% 0.92/1.00 fof(m__3754,hypothesis,
% 0.92/1.00 ! [W0,W1] :
% 0.92/1.00 ( ( aElementOf0(W0,szNzAzT0)
% 0.92/1.00 & aElementOf0(W1,szNzAzT0) )
% 0.92/1.00 => ( sdtlseqdt0(W1,W0)
% 0.92/1.00 => aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) ).
% 0.92/1.00
% 0.92/1.00 fof(m__3821,hypothesis,
% 0.92/1.00 ! [W0,W1] :
% 0.92/1.00 ( ( aElementOf0(W0,szNzAzT0)
% 0.92/1.00 & aElementOf0(W1,szNzAzT0)
% 0.92/1.00 & W0 != W1 )
% 0.92/1.00 => szmzizndt0(sdtlpdtrp0(xN,W0)) != szmzizndt0(sdtlpdtrp0(xN,W1)) ) ).
% 0.92/1.00
% 0.92/1.00 fof(m__3965,hypothesis,
% 0.92/1.00 ! [W0] :
% 0.92/1.00 ( aElementOf0(W0,szNzAzT0)
% 0.92/1.00 => ! [W1] :
% 0.92/1.00 ( ( aSet0(W1)
% 0.92/1.00 & aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) )
% 0.92/1.00 => aElementOf0(sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))),slbdtsldtrb0(xS,xK)) ) ) ).
% 0.92/1.00
% 0.92/1.00 fof(m__4151,hypothesis,
% 0.92/1.00 ( aFunction0(xC)
% 0.92/1.00 & szDzozmdt0(xC) = szNzAzT0
% 0.92/1.00 & ! [W0] :
% 0.92/1.00 ( aElementOf0(W0,szNzAzT0)
% 0.92/1.00 => ( aFunction0(sdtlpdtrp0(xC,W0))
% 0.92/1.00 & szDzozmdt0(sdtlpdtrp0(xC,W0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)
% 0.92/1.00 & ! [W1] :
% 0.92/1.00 ( ( aSet0(W1)
% 0.92/1.00 & aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) )
% 0.92/1.00 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) = sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) ) ) ).
% 0.92/1.00
% 0.92/1.00 fof(m__4200,hypothesis,
% 0.92/1.00 aElementOf0(xi,szNzAzT0) ).
% 0.92/1.00
% 0.92/1.00 fof(m__4200_02,hypothesis,
% 0.92/1.00 aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))) ).
% 0.92/1.00
% 0.92/1.00 fof(m__4237,hypothesis,
% 0.92/1.00 ( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
% 0.92/1.00 & sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ) = xx ) ).
% 0.92/1.00
% 0.92/1.00 fof(m__4263,hypothesis,
% 0.92/1.00 ( xx = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
% 0.92/1.00 & aElementOf0(sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),sdtlcdtrc0(xc,szDzozmdt0(xc))) ) ).
% 0.92/1.00
% 0.92/1.00 fof(m__,conjecture,
% 0.92/1.00 aElementOf0(xx,xT) ).
% 0.92/1.00
% 0.92/1.00 %------------------------------------------------------------------------------
% 0.92/1.00 %-------------------------------------------
% 0.92/1.00 % Proof found
% 0.92/1.00 % SZS status Theorem for theBenchmark
% 0.92/1.00 % SZS output start Proof
% 0.92/1.00 %ClaNum:263(EqnAxiom:88)
% 0.92/1.00 %VarNum:1174(SingletonVarNum:340)
% 0.92/1.00 %MaxLitNum:9
% 0.92/1.00 %MaxfuncDepth:4
% 0.92/1.00 %SharedTerms:59
% 0.92/1.00 %goalClause: 117
% 0.92/1.00 %singleGoalClaCount:1
% 0.92/1.00 [93]P1(a37)
% 0.92/1.00 [94]P1(a43)
% 0.92/1.00 [95]P5(a33)
% 0.92/1.00 [96]P5(a43)
% 0.92/1.00 [97]P6(a37)
% 0.92/1.00 [98]P6(a44)
% 0.92/1.00 [99]P2(a46)
% 0.92/1.00 [100]P2(a42)
% 0.92/1.00 [101]P2(a41)
% 0.92/1.00 [103]P3(a3,a37)
% 0.92/1.00 [104]P3(a40,a37)
% 0.92/1.00 [105]P3(a1,a37)
% 0.92/1.00 [106]P3(a47,a37)
% 0.92/1.00 [107]P7(a44,a37)
% 0.92/1.00 [116]~E(a3,a40)
% 0.92/1.00 [117]~P3(a48,a43)
% 0.92/1.00 [89]E(f2(a1),a40)
% 0.92/1.00 [90]E(f4(a3),a33)
% 0.92/1.00 [91]E(f35(a42),a37)
% 0.92/1.00 [92]E(f35(a41),a37)
% 0.92/1.00 [102]E(f5(a42,a3),a44)
% 0.92/1.00 [108]E(f34(a44,a40),f35(a46))
% 0.92/1.00 [109]E(f5(f5(a41,a47),a45),a48)
% 0.92/1.00 [110]P7(f6(a46,f35(a46)),a43)
% 0.92/1.00 [112]P3(a48,f6(f5(a41,a47),f35(f5(a41,a47))))
% 0.92/1.00 [111]E(f5(a46,f31(a45,f38(f5(a42,a47)))),a48)
% 0.92/1.00 [113]P3(f5(a46,f31(a45,f38(f5(a42,a47)))),f6(a46,f35(a46)))
% 0.92/1.00 [114]P3(a45,f34(f32(f5(a42,a47),f38(f5(a42,a47))),a1))
% 0.92/1.00 [118]P1(x1181)+~E(x1181,a33)
% 0.92/1.00 [125]~P1(x1251)+P7(x1251,x1251)
% 0.92/1.00 [132]~P3(x1321,a37)+P9(a3,x1321)
% 0.92/1.00 [138]P9(x1381,x1381)+~P3(x1381,a37)
% 0.92/1.00 [122]~P2(x1221)+P1(f35(x1221))
% 0.92/1.00 [123]~P1(x1231)+P4(f7(x1231))
% 0.92/1.00 [127]~P3(x1271,a37)+~E(f2(x1271),a3)
% 0.92/1.00 [128]~P3(x1281,a37)+~E(f2(x1281),x1281)
% 0.92/1.00 [130]~P3(x1301,a37)+P5(f4(x1301))
% 0.92/1.00 [139]~P3(x1391,a37)+P3(f2(x1391),a37)
% 0.92/1.00 [140]~P3(x1401,a37)+P9(x1401,f2(x1401))
% 0.92/1.00 [141]~P3(x1411,a37)+P8(x1411,f2(x1411))
% 0.92/1.00 [150]~P3(x1501,a37)+P6(f5(a42,x1501))
% 0.92/1.00 [151]~P3(x1511,a37)+P2(f5(a41,x1511))
% 0.92/1.00 [152]~P3(x1521,a37)+~P9(f2(x1521),a3)
% 0.92/1.00 [160]~P3(x1601,a37)+P7(f5(a42,x1601),a37)
% 0.92/1.00 [131]~P3(x1311,a37)+E(f7(f4(x1311)),x1311)
% 0.92/1.00 [234]~P3(x2341,a37)+E(f34(f32(f5(a42,x2341),f38(f5(a42,x2341))),a1),f35(f5(a41,x2341)))
% 0.92/1.00 [126]~P3(x1262,x1261)+~E(x1261,a33)
% 0.92/1.00 [121]~P1(x1211)+~P6(x1211)+~E(x1211,a33)
% 0.92/1.00 [124]~P5(x1241)+~P6(x1241)+~P1(x1241)
% 0.92/1.00 [119]~P1(x1191)+~E(x1191,a33)+E(f7(x1191),a3)
% 0.92/1.00 [120]~P1(x1201)+E(x1201,a33)+~E(f7(x1201),a3)
% 0.92/1.00 [129]~P1(x1291)+P3(f8(x1291),x1291)+E(x1291,a33)
% 0.92/1.00 [135]~P1(x1351)+~P5(x1351)+P3(f7(x1351),a37)
% 0.92/1.00 [142]~P3(x1421,a37)+E(x1421,a3)+P3(f19(x1421),a37)
% 0.92/1.00 [143]~P1(x1431)+P5(x1431)+~P3(f7(x1431),a37)
% 0.92/1.00 [149]~P5(x1491)+~P7(x1491,a37)+P3(f9(x1491),a37)
% 0.92/1.00 [133]~P3(x1331,a37)+E(x1331,a3)+E(f2(f19(x1331)),x1331)
% 0.92/1.00 [162]~P5(x1621)+~P7(x1621,a37)+P7(x1621,f4(f9(x1621)))
% 0.92/1.00 [136]~P7(x1361,x1362)+P1(x1361)+~P1(x1362)
% 0.92/1.00 [137]~P3(x1371,x1372)+P4(x1371)+~P1(x1372)
% 0.92/1.00 [134]P1(x1341)+~P3(x1342,a37)+~E(x1341,f4(x1342))
% 0.92/1.00 [163]~P4(x1632)+~P2(x1631)+P7(f29(x1631,x1632),f35(x1631))
% 0.92/1.00 [179]~P2(x1791)+~P3(x1792,f35(x1791))+P4(f5(x1791,x1792))
% 0.92/1.00 [181]~P1(x1811)+~P3(x1812,x1811)+E(f31(f32(x1811,x1812),x1812),x1811)
% 0.92/1.00 [217]~P2(x2171)+~P3(x2172,f35(x2171))+P3(f5(x2171,x2172),f6(x2171,f35(x2171)))
% 0.92/1.00 [207]~P2(x2071)+~P6(f35(x2071))+P4(f36(x2071))+~P5(f6(x2071,f35(x2071)))
% 0.92/1.00 [226]~P2(x2261)+~P6(f35(x2261))+~P5(f6(x2261,f35(x2261)))+P6(f29(x2261,f36(x2261)))
% 0.92/1.00 [229]~P3(x2291,a37)+~P7(f5(a42,x2291),a37)+~P6(f5(a42,x2291))+P6(f5(a42,f2(x2291)))
% 0.92/1.00 [249]~P3(x2491,a37)+~P7(f5(a42,x2491),a37)+~P6(f5(a42,x2491))+P7(f5(a42,f2(x2491)),f32(f5(a42,x2491),f38(f5(a42,x2491))))
% 0.92/1.00 [144]~P5(x1442)+~P7(x1441,x1442)+P5(x1441)+~P1(x1442)
% 0.92/1.00 [148]P3(x1482,x1481)+~E(x1482,f38(x1481))+~P7(x1481,a37)+E(x1481,a33)
% 0.92/1.00 [154]~P1(x1541)+~P4(x1542)+~P5(x1541)+P5(f31(x1541,x1542))
% 0.92/1.00 [155]~P1(x1551)+~P4(x1552)+~P5(x1551)+P5(f32(x1551,x1552))
% 0.92/1.00 [156]~P1(x1561)+~P4(x1562)+~P6(x1561)+P6(f31(x1561,x1562))
% 0.92/1.00 [157]~P1(x1571)+~P4(x1572)+~P6(x1571)+P6(f32(x1571,x1572))
% 0.92/1.00 [158]~P1(x1581)+P5(x1581)+~P3(x1582,a37)+~E(f34(x1581,x1582),a33)
% 0.92/1.00 [161]E(x1611,x1612)+~E(f2(x1611),f2(x1612))+~P3(x1612,a37)+~P3(x1611,a37)
% 0.92/1.00 [166]~P1(x1662)+~P5(x1662)+~P7(x1661,x1662)+P9(f7(x1661),f7(x1662))
% 0.92/1.00 [169]~P1(x1691)+~P5(x1691)+~P3(x1692,a37)+P5(f34(x1691,x1692))
% 0.92/1.00 [178]~P1(x1781)+~P1(x1782)+P7(x1781,x1782)+P3(f20(x1782,x1781),x1781)
% 0.92/1.00 [185]P9(x1851,x1852)+P9(f2(x1852),x1851)+~P3(x1852,a37)+~P3(x1851,a37)
% 0.92/1.00 [197]~P9(x1971,x1972)+~P3(x1972,a37)+~P3(x1971,a37)+P7(f4(x1971),f4(x1972))
% 0.92/1.00 [198]~P9(x1981,x1982)+~P3(x1982,a37)+~P3(x1981,a37)+P9(f2(x1981),f2(x1982))
% 0.92/1.00 [200]~P1(x2001)+~P1(x2002)+P7(x2001,x2002)+~P3(f20(x2002,x2001),x2002)
% 0.92/1.00 [202]P9(x2021,x2022)+~P3(x2022,a37)+~P3(x2021,a37)+~P7(f4(x2021),f4(x2022))
% 0.92/1.00 [203]P9(x2031,x2032)+~P3(x2032,a37)+~P3(x2031,a37)+~P9(f2(x2031),f2(x2032))
% 0.92/1.00 [221]~P9(x2212,x2211)+~P3(x2212,a37)+~P3(x2211,a37)+P7(f5(a42,x2211),f5(a42,x2212))
% 0.92/1.00 [180]P3(x1802,x1801)+~P1(x1801)+~P4(x1802)+E(f32(f31(x1801,x1802),x1802),x1801)
% 0.92/1.00 [188]~E(x1881,x1882)+~P3(x1882,a37)+~P3(x1881,a37)+P3(x1881,f4(f2(x1882)))
% 0.92/1.00 [209]~P3(x2092,a37)+~P3(x2091,a37)+~P3(x2091,f4(x2092))+P3(x2091,f4(f2(x2092)))
% 0.92/1.00 [225]E(x2251,x2252)+~P3(x2252,a37)+~P3(x2251,a37)+~E(f38(f5(a42,x2251)),f38(f5(a42,x2252)))
% 0.92/1.00 [208]~P1(x2081)+~P5(x2081)+~P3(x2082,x2081)+E(f2(f7(f32(x2081,x2082))),f7(x2081))
% 0.92/1.00 [262]~P1(x2621)+~P3(x2622,a37)+P3(f31(x2621,f38(f5(a42,x2622))),f34(a44,a40))+~P3(x2621,f34(f32(f5(a42,x2622),f38(f5(a42,x2622))),a1))
% 0.92/1.00 [263]~P1(x2631)+~P3(x2632,a37)+~P3(x2631,f34(f32(f5(a42,x2632),f38(f5(a42,x2632))),a1))+E(f5(a46,f31(x2631,f38(f5(a42,x2632)))),f5(f5(a41,x2632),x2631))
% 0.92/1.00 [173]~P1(x1732)+~P7(x1733,x1732)+P3(x1731,x1732)+~P3(x1731,x1733)
% 0.92/1.00 [145]~P1(x1452)+~P4(x1453)+P1(x1451)+~E(x1451,f31(x1452,x1453))
% 0.92/1.00 [146]~P1(x1462)+~P4(x1463)+P1(x1461)+~E(x1461,f32(x1462,x1463))
% 0.92/1.00 [147]~P4(x1473)+~P2(x1472)+P1(x1471)+~E(x1471,f29(x1472,x1473))
% 0.92/1.00 [159]~P1(x1592)+P1(x1591)+~P3(x1593,a37)+~E(x1591,f34(x1592,x1593))
% 0.92/1.00 [167]~P3(x1671,x1672)+~P3(x1673,a37)+P3(x1671,a37)+~E(x1672,f4(x1673))
% 0.92/1.00 [175]~P2(x1752)+P1(x1751)+~P7(x1753,f35(x1752))+~E(x1751,f6(x1752,x1753))
% 0.92/1.00 [176]~P2(x1762)+P2(x1761)+~P7(x1763,f35(x1762))+~E(x1761,f30(x1762,x1763))
% 0.92/1.00 [177]~P2(x1773)+~P7(x1772,f35(x1773))+E(f35(x1771),x1772)+~E(x1771,f30(x1773,x1772))
% 0.92/1.00 [182]~P3(x1821,x1823)+~P3(x1822,a37)+P9(f2(x1821),x1822)+~E(x1823,f4(x1822))
% 0.92/1.00 [164]~P1(x1642)+~P1(x1641)+~P7(x1642,x1641)+~P7(x1641,x1642)+E(x1641,x1642)
% 0.92/1.00 [195]~P9(x1952,x1951)+~P9(x1951,x1952)+E(x1951,x1952)+~P3(x1952,a37)+~P3(x1951,a37)
% 0.92/1.00 [153]~P5(x1531)+P3(x1532,x1531)+~E(x1532,f39(x1531))+~P7(x1531,a37)+E(x1531,a33)
% 0.92/1.00 [172]~P1(x1722)+~P6(x1722)+~P3(x1721,a37)+E(x1721,a3)+P6(f34(x1722,x1721))
% 0.92/1.00 [199]~P3(x1992,x1991)+P3(f25(x1991,x1992),x1991)+~P7(x1991,a37)+E(x1991,a33)+E(x1992,f38(x1991))
% 0.92/1.00 [210]~P1(x2101)+~P5(x2101)+~P3(x2102,a37)+~P9(x2102,f7(x2101))+P7(f26(x2101,x2102),x2101)
% 0.92/1.00 [212]~P1(x2121)+P3(f28(x2122,x2121),x2121)+~P3(x2122,a37)+E(x2121,f4(x2122))+P3(f28(x2122,x2121),a37)
% 0.92/1.00 [213]~P3(x2132,x2131)+~P7(x2131,a37)+~P9(x2132,f25(x2131,x2132))+E(x2131,a33)+E(x2132,f38(x2131))
% 0.92/1.00 [220]~P6(x2202)+~P2(x2201)+~E(f10(x2201,x2202),f11(x2201,x2202))+~P7(x2202,f35(x2201))+P6(f6(x2201,x2202))
% 0.92/1.00 [222]~P6(x2222)+~P2(x2221)+P3(f11(x2221,x2222),f35(x2221))+~P7(x2222,f35(x2221))+P6(f6(x2221,x2222))
% 0.92/1.00 [223]~P6(x2232)+~P2(x2231)+P3(f10(x2231,x2232),f35(x2231))+~P7(x2232,f35(x2231))+P6(f6(x2231,x2232))
% 0.92/1.00 [187]P3(x1872,x1871)+~P1(x1871)+~P4(x1872)+~P5(x1871)+E(f7(f31(x1871,x1872)),f2(f7(x1871)))
% 0.92/1.00 [206]~P1(x2061)+~P5(x2061)+~P3(x2062,a37)+~P9(x2062,f7(x2061))+E(f7(f26(x2061,x2062)),x2062)
% 0.92/1.00 [215]E(x2151,x2152)+P3(x2151,f4(x2152))+~P3(x2152,a37)+~P3(x2151,a37)+~P3(x2151,f4(f2(x2152)))
% 0.92/1.00 [227]~P1(x2271)+P3(f28(x2272,x2271),x2271)+~P3(x2272,a37)+E(x2271,f4(x2272))+P9(f2(f28(x2272,x2271)),x2272)
% 0.92/1.00 [228]~P6(x2282)+~P2(x2281)+~P7(x2282,f35(x2281))+P6(f6(x2281,x2282))+E(f5(x2281,f10(x2281,x2282)),f5(x2281,f11(x2281,x2282)))
% 0.92/1.00 [174]~P3(x1743,x1741)+P9(x1742,x1743)+~E(x1742,f38(x1741))+~P7(x1741,a37)+E(x1741,a33)
% 0.92/1.00 [201]P3(x2011,x2012)+~P3(x2013,a37)+~P3(x2011,a37)+~P9(f2(x2011),x2013)+~E(x2012,f4(x2013))
% 0.92/1.00 [232]~P1(x2321)+~P5(x2323)+~P3(x2322,a37)+~P7(x2323,f34(x2321,x2322))+P5(f13(x2321,x2322,x2323))
% 0.92/1.00 [233]~P1(x2331)+~P5(x2333)+~P3(x2332,a37)+~P7(x2333,f34(x2331,x2332))+P7(f13(x2331,x2332,x2333),x2331)
% 0.92/1.00 [250]~P1(x2502)+~P5(x2501)+~P3(x2503,a37)+~P7(x2501,f34(x2502,x2503))+P7(x2501,f34(f13(x2502,x2503,x2501),x2503))
% 0.92/1.00 [168]~P1(x1684)+~P4(x1682)+~P3(x1681,x1683)+~E(x1681,x1682)+~E(x1683,f32(x1684,x1682))
% 0.92/1.00 [170]~P1(x1703)+~P4(x1704)+~P3(x1701,x1702)+P4(x1701)+~E(x1702,f31(x1703,x1704))
% 0.92/1.00 [171]~P1(x1713)+~P4(x1714)+~P3(x1711,x1712)+P4(x1711)+~E(x1712,f32(x1713,x1714))
% 0.92/1.00 [184]~P1(x1842)+~P4(x1844)+~P3(x1841,x1843)+P3(x1841,x1842)+~E(x1843,f32(x1842,x1844))
% 0.92/1.00 [186]~P4(x1863)+~P2(x1861)+~P3(x1862,x1864)+E(f5(x1861,x1862),x1863)+~E(x1864,f29(x1861,x1863))
% 0.92/1.00 [190]~P1(x1904)+~P3(x1901,x1903)+~P3(x1902,a37)+E(f7(x1901),x1902)+~E(x1903,f34(x1904,x1902))
% 0.92/1.00 [192]~P4(x1924)+~P2(x1922)+~P3(x1921,x1923)+P3(x1921,f35(x1922))+~E(x1923,f29(x1922,x1924))
% 0.92/1.00 [196]~P1(x1962)+~P3(x1961,x1963)+P7(x1961,x1962)+~P3(x1964,a37)+~E(x1963,f34(x1962,x1964))
% 0.92/1.00 [214]~P2(x2143)+~P3(x2142,x2144)+~P7(x2144,f35(x2143))+E(f5(x2141,x2142),f5(x2143,x2142))+~E(x2141,f30(x2143,x2144))
% 0.92/1.00 [256]~P2(x2561)+~P3(x2564,x2563)+~E(x2563,f6(x2561,x2562))+~P7(x2562,f35(x2561))+P3(f17(x2561,x2562,x2563,x2564),x2562)
% 0.92/1.00 [257]~P2(x2571)+~P3(x2574,x2573)+~E(x2573,f6(x2571,x2572))+~P7(x2572,f35(x2571))+E(f5(x2571,f17(x2571,x2572,x2573,x2574)),x2574)
% 0.92/1.00 [205]~P5(x2051)+~P3(x2052,x2051)+P3(f27(x2051,x2052),x2051)+~P7(x2051,a37)+E(x2051,a33)+E(x2052,f39(x2051))
% 0.92/1.00 [218]~P5(x2181)+~P3(x2182,x2181)+~P7(x2181,a37)+~P9(f27(x2181,x2182),x2182)+E(x2181,a33)+E(x2182,f39(x2181))
% 0.92/1.00 [238]~P1(x2381)+~P3(x2382,a37)+~P3(f28(x2382,x2381),x2381)+E(x2381,f4(x2382))+~P3(f28(x2382,x2381),a37)+~P9(f2(f28(x2382,x2381)),x2382)
% 0.92/1.00 [191]~P1(x1912)+~P1(x1911)+~P7(x1913,x1912)+~P7(x1911,x1913)+P7(x1911,x1912)+~P1(x1913)
% 0.92/1.00 [219]~P9(x2191,x2193)+P9(x2191,x2192)+~P9(x2193,x2192)+~P3(x2192,a37)+~P3(x2193,a37)+~P3(x2191,a37)
% 0.92/1.00 [183]~P5(x1831)+~P3(x1832,x1831)+P9(x1832,x1833)+~E(x1833,f39(x1831))+~P7(x1831,a37)+E(x1831,a33)
% 0.92/1.00 [231]~P2(x2311)+~P2(x2312)+P3(f12(x2312,x2313,x2311),x2313)+~E(f35(x2311),x2313)+~P7(x2313,f35(x2312))+E(x2311,f30(x2312,x2313))
% 0.92/1.00 [235]~P1(x2351)+~P1(x2352)+~P4(x2353)+P3(f23(x2352,x2353,x2351),x2351)+~E(f23(x2352,x2353,x2351),x2353)+E(x2351,f32(x2352,x2353))
% 0.92/1.00 [236]~P1(x2361)+~P1(x2362)+~P4(x2363)+P3(f24(x2362,x2363,x2361),x2361)+E(x2361,f31(x2362,x2363))+P4(f24(x2362,x2363,x2361))
% 0.92/1.00 [237]~P1(x2371)+~P1(x2372)+~P4(x2373)+P3(f23(x2372,x2373,x2371),x2371)+E(x2371,f32(x2372,x2373))+P4(f23(x2372,x2373,x2371))
% 0.92/1.00 [239]~P1(x2391)+~P1(x2392)+~P4(x2393)+P3(f23(x2392,x2393,x2391),x2391)+P3(f23(x2392,x2393,x2391),x2392)+E(x2391,f32(x2392,x2393))
% 0.92/1.00 [242]~P1(x2421)+~P4(x2423)+~P2(x2422)+P3(f15(x2422,x2423,x2421),x2421)+P3(f15(x2422,x2423,x2421),f35(x2422))+E(x2421,f29(x2422,x2423))
% 0.92/1.00 [243]~P1(x2431)+~P1(x2432)+P3(f14(x2432,x2433,x2431),x2431)+P7(f14(x2432,x2433,x2431),x2432)+~P3(x2433,a37)+E(x2431,f34(x2432,x2433))
% 0.92/1.00 [246]~P1(x2461)+~P2(x2462)+P3(f16(x2462,x2463,x2461),x2461)+P3(f18(x2462,x2463,x2461),x2463)+~P7(x2463,f35(x2462))+E(x2461,f6(x2462,x2463))
% 0.92/1.00 [240]~P1(x2401)+~P4(x2403)+~P2(x2402)+P3(f15(x2402,x2403,x2401),x2401)+E(x2401,f29(x2402,x2403))+E(f5(x2402,f15(x2402,x2403,x2401)),x2403)
% 0.92/1.00 [241]~P1(x2411)+~P1(x2412)+P3(f14(x2412,x2413,x2411),x2411)+~P3(x2413,a37)+E(x2411,f34(x2412,x2413))+E(f7(f14(x2412,x2413,x2411)),x2413)
% 0.92/1.00 [251]~P1(x2511)+~P2(x2512)+P3(f16(x2512,x2513,x2511),x2511)+~P7(x2513,f35(x2512))+E(x2511,f6(x2512,x2513))+E(f5(x2512,f18(x2512,x2513,x2511)),f16(x2512,x2513,x2511))
% 0.92/1.00 [253]~P2(x2532)+~P2(x2531)+~E(f35(x2531),x2533)+~P7(x2533,f35(x2532))+E(x2531,f30(x2532,x2533))+~E(f5(x2531,f12(x2532,x2533,x2531)),f5(x2532,f12(x2532,x2533,x2531)))
% 0.92/1.00 [165]~P1(x1654)+~P4(x1653)+~P4(x1651)+P3(x1651,x1652)+~E(x1651,x1653)+~E(x1652,f31(x1654,x1653))
% 0.92/1.00 [189]~P1(x1893)+~P4(x1892)+~P3(x1891,x1894)+E(x1891,x1892)+P3(x1891,x1893)+~E(x1894,f31(x1893,x1892))
% 0.92/1.00 [193]~P1(x1933)+~P4(x1934)+~P4(x1931)+~P3(x1931,x1933)+P3(x1931,x1932)+~E(x1932,f31(x1933,x1934))
% 0.92/1.00 [204]~P1(x2044)+~P7(x2041,x2044)+P3(x2041,x2042)+~P3(x2043,a37)+~E(x2042,f34(x2044,x2043))+~E(f7(x2041),x2043)
% 0.92/1.00 [211]~P4(x2114)+~P2(x2113)+P3(x2111,x2112)+~E(f5(x2113,x2111),x2114)+~P3(x2111,f35(x2113))+~E(x2112,f29(x2113,x2114))
% 0.92/1.00 [224]~P2(x2243)+~P3(x2245,x2244)+P3(x2241,x2242)+~P7(x2244,f35(x2243))+~E(x2242,f6(x2243,x2244))+~E(f5(x2243,x2245),x2241)
% 0.92/1.00 [216]E(f38(x2162),f38(x2161))+~P7(x2161,a37)+~P7(x2162,a37)+~P3(f38(x2161),x2162)+~P3(f38(x2162),x2161)+E(x2161,a33)+E(x2162,a33)
% 0.92/1.00 [230]~P1(x2303)+~P1(x2302)+P7(x2302,x2303)+~P3(x2301,a37)+~P7(f34(x2302,x2301),f34(x2303,x2301))+E(x2301,a3)+E(f34(x2302,x2301),a33)
% 0.92/1.00 [248]~P1(x2481)+~P1(x2482)+~P4(x2483)+E(f24(x2482,x2483,x2481),x2483)+P3(f24(x2482,x2483,x2481),x2481)+P3(f24(x2482,x2483,x2481),x2482)+E(x2481,f31(x2482,x2483))
% 0.92/1.00 [254]~P1(x2541)+~P1(x2542)+~P4(x2543)+~E(f24(x2542,x2543,x2541),x2543)+~P3(f24(x2542,x2543,x2541),x2541)+E(x2541,f31(x2542,x2543))+~P4(f24(x2542,x2543,x2541))
% 0.92/1.00 [255]~P1(x2551)+~P1(x2552)+~P4(x2553)+~P3(f24(x2552,x2553,x2551),x2551)+~P3(f24(x2552,x2553,x2551),x2552)+E(x2551,f31(x2552,x2553))+~P4(f24(x2552,x2553,x2551))
% 0.92/1.00 [258]~P1(x2581)+~P1(x2582)+~P3(x2583,a37)+~P3(f14(x2582,x2583,x2581),x2581)+~P7(f14(x2582,x2583,x2581),x2582)+E(x2581,f34(x2582,x2583))+~E(f7(f14(x2582,x2583,x2581)),x2583)
% 0.92/1.00 [259]~P1(x2591)+~P4(x2593)+~P2(x2592)+~P3(f15(x2592,x2593,x2591),x2591)+~P3(f15(x2592,x2593,x2591),f35(x2592))+E(x2591,f29(x2592,x2593))+~E(f5(x2592,f15(x2592,x2593,x2591)),x2593)
% 0.92/1.00 [194]~P1(x1944)+~P4(x1942)+~P4(x1941)+~P3(x1941,x1944)+E(x1941,x1942)+P3(x1941,x1943)+~E(x1943,f32(x1944,x1942))
% 0.92/1.00 [252]~P1(x2521)+~P2(x2522)+~P3(x2524,x2523)+~P7(x2523,f35(x2522))+~P3(f16(x2522,x2523,x2521),x2521)+~E(f5(x2522,x2524),f16(x2522,x2523,x2521))+E(x2521,f6(x2522,x2523))
% 0.92/1.00 [260]~P1(x2601)+~P1(x2602)+~P4(x2603)+E(f23(x2602,x2603,x2601),x2603)+~P3(f23(x2602,x2603,x2601),x2601)+~P3(f23(x2602,x2603,x2601),x2602)+E(x2601,f32(x2602,x2603))+~P4(f23(x2602,x2603,x2601))
% 0.92/1.00 [244]~P6(x2442)+~P2(x2443)+~E(f35(x2443),f34(x2442,x2441))+~P3(x2441,a37)+~P7(x2442,a37)+~P8(x2441,a40)+P6(f21(x2441,x2442,x2443))+~P7(f6(x2443,f35(x2443)),a43)
% 0.92/1.00 [245]~P6(x2452)+~P2(x2453)+~E(f35(x2453),f34(x2452,x2451))+~P3(x2451,a37)+~P7(x2452,a37)+~P8(x2451,a40)+P3(f22(x2451,x2452,x2453),a43)+~P7(f6(x2453,f35(x2453)),a43)
% 0.92/1.00 [247]~P6(x2472)+~P2(x2473)+~E(f35(x2473),f34(x2472,x2471))+~P3(x2471,a37)+~P7(x2472,a37)+~P8(x2471,a40)+P7(f21(x2471,x2472,x2473),x2472)+~P7(f6(x2473,f35(x2473)),a43)
% 0.92/1.00 [261]~P6(x2614)+~P2(x2611)+~E(f35(x2611),f34(x2614,x2613))+~P3(x2613,a37)+~P7(x2614,a37)+~P8(x2613,a40)+E(f5(x2611,x2612),f22(x2613,x2614,x2611))+~P3(x2612,f34(f21(x2613,x2614,x2611),x2613))+~P7(f6(x2611,f35(x2611)),a43)
% 0.92/1.00 %EqnAxiom
% 0.92/1.00 [1]E(x11,x11)
% 0.92/1.00 [2]E(x22,x21)+~E(x21,x22)
% 0.92/1.00 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.92/1.00 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.92/1.00 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 0.92/1.00 [6]~E(x61,x62)+E(f35(x61),f35(x62))
% 0.92/1.00 [7]~E(x71,x72)+E(f6(x71,x73),f6(x72,x73))
% 0.92/1.00 [8]~E(x81,x82)+E(f6(x83,x81),f6(x83,x82))
% 0.92/1.00 [9]~E(x91,x92)+E(f5(x91,x93),f5(x92,x93))
% 0.92/1.00 [10]~E(x101,x102)+E(f5(x103,x101),f5(x103,x102))
% 0.92/1.00 [11]~E(x111,x112)+E(f34(x111,x113),f34(x112,x113))
% 0.92/1.00 [12]~E(x121,x122)+E(f34(x123,x121),f34(x123,x122))
% 0.92/1.00 [13]~E(x131,x132)+E(f14(x131,x133,x134),f14(x132,x133,x134))
% 0.92/1.00 [14]~E(x141,x142)+E(f14(x143,x141,x144),f14(x143,x142,x144))
% 0.92/1.00 [15]~E(x151,x152)+E(f14(x153,x154,x151),f14(x153,x154,x152))
% 0.92/1.00 [16]~E(x161,x162)+E(f21(x161,x163,x164),f21(x162,x163,x164))
% 0.92/1.00 [17]~E(x171,x172)+E(f21(x173,x171,x174),f21(x173,x172,x174))
% 0.92/1.01 [18]~E(x181,x182)+E(f21(x183,x184,x181),f21(x183,x184,x182))
% 0.92/1.01 [19]~E(x191,x192)+E(f15(x191,x193,x194),f15(x192,x193,x194))
% 0.92/1.01 [20]~E(x201,x202)+E(f15(x203,x201,x204),f15(x203,x202,x204))
% 0.92/1.01 [21]~E(x211,x212)+E(f15(x213,x214,x211),f15(x213,x214,x212))
% 0.92/1.01 [22]~E(x221,x222)+E(f17(x221,x223,x224,x225),f17(x222,x223,x224,x225))
% 0.92/1.01 [23]~E(x231,x232)+E(f17(x233,x231,x234,x235),f17(x233,x232,x234,x235))
% 0.92/1.01 [24]~E(x241,x242)+E(f17(x243,x244,x241,x245),f17(x243,x244,x242,x245))
% 0.92/1.01 [25]~E(x251,x252)+E(f17(x253,x254,x255,x251),f17(x253,x254,x255,x252))
% 0.92/1.01 [26]~E(x261,x262)+E(f31(x261,x263),f31(x262,x263))
% 0.92/1.01 [27]~E(x271,x272)+E(f31(x273,x271),f31(x273,x272))
% 0.92/1.01 [28]~E(x281,x282)+E(f27(x281,x283),f27(x282,x283))
% 0.92/1.01 [29]~E(x291,x292)+E(f27(x293,x291),f27(x293,x292))
% 0.92/1.01 [30]~E(x301,x302)+E(f38(x301),f38(x302))
% 0.92/1.01 [31]~E(x311,x312)+E(f7(x311),f7(x312))
% 0.92/1.01 [32]~E(x321,x322)+E(f29(x321,x323),f29(x322,x323))
% 0.92/1.01 [33]~E(x331,x332)+E(f29(x333,x331),f29(x333,x332))
% 0.92/1.01 [34]~E(x341,x342)+E(f11(x341,x343),f11(x342,x343))
% 0.92/1.01 [35]~E(x351,x352)+E(f11(x353,x351),f11(x353,x352))
% 0.92/1.01 [36]~E(x361,x362)+E(f12(x361,x363,x364),f12(x362,x363,x364))
% 0.92/1.01 [37]~E(x371,x372)+E(f12(x373,x371,x374),f12(x373,x372,x374))
% 0.92/1.01 [38]~E(x381,x382)+E(f12(x383,x384,x381),f12(x383,x384,x382))
% 0.92/1.01 [39]~E(x391,x392)+E(f13(x391,x393,x394),f13(x392,x393,x394))
% 0.92/1.01 [40]~E(x401,x402)+E(f13(x403,x401,x404),f13(x403,x402,x404))
% 0.92/1.01 [41]~E(x411,x412)+E(f13(x413,x414,x411),f13(x413,x414,x412))
% 0.92/1.01 [42]~E(x421,x422)+E(f24(x421,x423,x424),f24(x422,x423,x424))
% 0.92/1.01 [43]~E(x431,x432)+E(f24(x433,x431,x434),f24(x433,x432,x434))
% 0.92/1.01 [44]~E(x441,x442)+E(f24(x443,x444,x441),f24(x443,x444,x442))
% 0.92/1.01 [45]~E(x451,x452)+E(f16(x451,x453,x454),f16(x452,x453,x454))
% 0.92/1.01 [46]~E(x461,x462)+E(f16(x463,x461,x464),f16(x463,x462,x464))
% 0.92/1.01 [47]~E(x471,x472)+E(f16(x473,x474,x471),f16(x473,x474,x472))
% 0.92/1.01 [48]~E(x481,x482)+E(f26(x481,x483),f26(x482,x483))
% 0.92/1.01 [49]~E(x491,x492)+E(f26(x493,x491),f26(x493,x492))
% 0.92/1.01 [50]~E(x501,x502)+E(f32(x501,x503),f32(x502,x503))
% 0.92/1.01 [51]~E(x511,x512)+E(f32(x513,x511),f32(x513,x512))
% 0.92/1.01 [52]~E(x521,x522)+E(f25(x521,x523),f25(x522,x523))
% 0.92/1.01 [53]~E(x531,x532)+E(f25(x533,x531),f25(x533,x532))
% 0.92/1.01 [54]~E(x541,x542)+E(f30(x541,x543),f30(x542,x543))
% 0.92/1.01 [55]~E(x551,x552)+E(f30(x553,x551),f30(x553,x552))
% 0.92/1.01 [56]~E(x561,x562)+E(f10(x561,x563),f10(x562,x563))
% 0.92/1.01 [57]~E(x571,x572)+E(f10(x573,x571),f10(x573,x572))
% 0.92/1.01 [58]~E(x581,x582)+E(f39(x581),f39(x582))
% 0.92/1.01 [59]~E(x591,x592)+E(f23(x591,x593,x594),f23(x592,x593,x594))
% 0.92/1.01 [60]~E(x601,x602)+E(f23(x603,x601,x604),f23(x603,x602,x604))
% 0.92/1.01 [61]~E(x611,x612)+E(f23(x613,x614,x611),f23(x613,x614,x612))
% 0.92/1.01 [62]~E(x621,x622)+E(f28(x621,x623),f28(x622,x623))
% 0.92/1.01 [63]~E(x631,x632)+E(f28(x633,x631),f28(x633,x632))
% 0.92/1.01 [64]~E(x641,x642)+E(f19(x641),f19(x642))
% 0.92/1.01 [65]~E(x651,x652)+E(f20(x651,x653),f20(x652,x653))
% 0.92/1.01 [66]~E(x661,x662)+E(f20(x663,x661),f20(x663,x662))
% 0.92/1.01 [67]~E(x671,x672)+E(f18(x671,x673,x674),f18(x672,x673,x674))
% 0.92/1.01 [68]~E(x681,x682)+E(f18(x683,x681,x684),f18(x683,x682,x684))
% 0.92/1.01 [69]~E(x691,x692)+E(f18(x693,x694,x691),f18(x693,x694,x692))
% 0.92/1.01 [70]~E(x701,x702)+E(f36(x701),f36(x702))
% 0.92/1.01 [71]~E(x711,x712)+E(f22(x711,x713,x714),f22(x712,x713,x714))
% 0.92/1.01 [72]~E(x721,x722)+E(f22(x723,x721,x724),f22(x723,x722,x724))
% 0.92/1.01 [73]~E(x731,x732)+E(f22(x733,x734,x731),f22(x733,x734,x732))
% 0.92/1.01 [74]~E(x741,x742)+E(f9(x741),f9(x742))
% 0.92/1.01 [75]~E(x751,x752)+E(f8(x751),f8(x752))
% 0.92/1.01 [76]~P1(x761)+P1(x762)+~E(x761,x762)
% 0.92/1.01 [77]P3(x772,x773)+~E(x771,x772)+~P3(x771,x773)
% 0.92/1.01 [78]P3(x783,x782)+~E(x781,x782)+~P3(x783,x781)
% 0.92/1.01 [79]~P5(x791)+P5(x792)+~E(x791,x792)
% 0.92/1.01 [80]P7(x802,x803)+~E(x801,x802)+~P7(x801,x803)
% 0.92/1.01 [81]P7(x813,x812)+~E(x811,x812)+~P7(x813,x811)
% 0.92/1.01 [82]~P6(x821)+P6(x822)+~E(x821,x822)
% 0.92/1.01 [83]~P4(x831)+P4(x832)+~E(x831,x832)
% 0.92/1.01 [84]~P2(x841)+P2(x842)+~E(x841,x842)
% 0.92/1.01 [85]P9(x852,x853)+~E(x851,x852)+~P9(x851,x853)
% 0.92/1.01 [86]P9(x863,x862)+~E(x861,x862)+~P9(x863,x861)
% 0.92/1.01 [87]P8(x872,x873)+~E(x871,x872)+~P8(x871,x873)
% 0.92/1.01 [88]P8(x883,x882)+~E(x881,x882)+~P8(x883,x881)
% 0.92/1.01
% 0.92/1.01 %-------------------------------------------
% 0.92/1.01 cnf(264,plain,
% 0.92/1.01 (E(a40,f2(a1))),
% 0.92/1.01 inference(scs_inference,[],[89,2])).
% 0.92/1.01 cnf(267,plain,
% 0.92/1.01 (~P3(x2671,f4(a3))),
% 0.92/1.01 inference(scs_inference,[],[103,89,90,2,138,126])).
% 0.92/1.01 cnf(269,plain,
% 0.92/1.01 (P1(f4(a3))),
% 0.92/1.01 inference(scs_inference,[],[103,89,90,2,138,126,118])).
% 0.92/1.01 cnf(271,plain,
% 0.92/1.01 (~E(a37,f4(a3))),
% 0.92/1.01 inference(scs_inference,[],[103,89,90,2,138,126,118,78])).
% 0.92/1.01 cnf(272,plain,
% 0.92/1.01 (P3(f2(a1),a37)),
% 0.92/1.01 inference(scs_inference,[],[103,104,89,90,2,138,126,118,78,77])).
% 0.92/1.01 cnf(273,plain,
% 0.92/1.01 (P1(a33)),
% 0.92/1.01 inference(scs_inference,[],[103,104,89,90,2,138,126,118,78,77,76])).
% 0.92/1.01 cnf(275,plain,
% 0.92/1.01 (~P5(a37)),
% 0.92/1.01 inference(scs_inference,[],[93,97,103,104,116,89,90,2,138,126,118,78,77,76,3,124])).
% 0.92/1.01 cnf(277,plain,
% 0.92/1.01 (~P6(f4(a3))),
% 0.92/1.01 inference(scs_inference,[],[93,97,103,104,116,89,90,2,138,126,118,78,77,76,3,124,121])).
% 0.92/1.01 cnf(279,plain,
% 0.92/1.01 (P9(f2(a3),f2(a3))),
% 0.92/1.01 inference(scs_inference,[],[93,97,103,104,116,89,90,2,138,126,118,78,77,76,3,124,121,198])).
% 0.92/1.01 cnf(281,plain,
% 0.92/1.01 (P7(f4(a3),f4(a3))),
% 0.92/1.01 inference(scs_inference,[],[93,97,103,104,116,89,90,2,138,126,118,78,77,76,3,124,121,198,197])).
% 0.92/1.01 cnf(283,plain,
% 0.92/1.01 (P9(a3,a40)),
% 0.92/1.01 inference(scs_inference,[],[93,97,103,104,116,89,90,2,138,126,118,78,77,76,3,124,121,198,197,132])).
% 0.92/1.01 cnf(285,plain,
% 0.92/1.01 (P7(a37,a37)),
% 0.92/1.01 inference(scs_inference,[],[93,97,103,104,116,89,90,2,138,126,118,78,77,76,3,124,121,198,197,132,125])).
% 0.92/1.01 cnf(289,plain,
% 0.92/1.01 (~P9(f2(a3),a3)),
% 0.92/1.01 inference(scs_inference,[],[93,97,103,104,116,89,90,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152])).
% 0.92/1.01 cnf(299,plain,
% 0.92/1.01 (P3(f2(a3),a37)),
% 0.92/1.01 inference(scs_inference,[],[93,97,103,104,116,89,90,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152,151,150,141,140,139])).
% 0.92/1.01 cnf(301,plain,
% 0.92/1.01 (E(f7(f4(a3)),a3)),
% 0.92/1.01 inference(scs_inference,[],[93,97,103,104,116,89,90,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152,151,150,141,140,139,131])).
% 0.92/1.01 cnf(303,plain,
% 0.92/1.01 (P5(f4(a3))),
% 0.92/1.01 inference(scs_inference,[],[93,97,103,104,116,89,90,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152,151,150,141,140,139,131,130])).
% 0.92/1.01 cnf(305,plain,
% 0.92/1.01 (~E(f2(a3),a3)),
% 0.92/1.01 inference(scs_inference,[],[93,97,103,104,116,89,90,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152,151,150,141,140,139,131,130,128])).
% 0.92/1.01 cnf(309,plain,
% 0.92/1.01 (P4(f7(a37))),
% 0.92/1.01 inference(scs_inference,[],[93,97,103,104,116,89,90,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152,151,150,141,140,139,131,130,128,127,123])).
% 0.92/1.01 cnf(376,plain,
% 0.92/1.01 (E(f34(x3761,f2(a1)),f34(x3761,a40))),
% 0.92/1.01 inference(scs_inference,[],[93,97,99,103,104,116,89,90,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152,151,150,141,140,139,131,130,128,127,123,122,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12])).
% 0.92/1.01 cnf(383,plain,
% 0.92/1.01 (E(f4(f2(a1)),f4(a40))),
% 0.92/1.01 inference(scs_inference,[],[93,97,99,103,104,116,89,90,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152,151,150,141,140,139,131,130,128,127,123,122,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 0.92/1.01 cnf(387,plain,
% 0.92/1.01 (~P9(f2(a3),f7(f4(a3)))),
% 0.92/1.01 inference(scs_inference,[],[93,97,99,103,104,116,89,90,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152,151,150,141,140,139,131,130,128,127,123,122,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,234,86])).
% 0.92/1.01 cnf(388,plain,
% 0.92/1.01 (~E(a3,f2(a3))),
% 0.92/1.01 inference(scs_inference,[],[93,97,99,103,104,116,89,90,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152,151,150,141,140,139,131,130,128,127,123,122,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,234,86,85])).
% 0.92/1.01 cnf(392,plain,
% 0.92/1.01 (P4(a3)),
% 0.92/1.01 inference(scs_inference,[],[93,95,97,98,99,103,104,116,89,90,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152,151,150,141,140,139,131,130,128,127,123,122,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,234,86,85,84,82,79,137])).
% 0.92/1.01 cnf(394,plain,
% 0.92/1.01 (P1(a44)),
% 0.92/1.01 inference(scs_inference,[],[93,95,97,98,99,103,104,107,116,89,90,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152,151,150,141,140,139,131,130,128,127,123,122,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,234,86,85,84,82,79,137,136])).
% 0.92/1.01 cnf(396,plain,
% 0.92/1.01 (P1(f4(f2(a1)))),
% 0.92/1.01 inference(scs_inference,[],[93,95,97,98,99,103,104,107,116,89,90,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152,151,150,141,140,139,131,130,128,127,123,122,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,234,86,85,84,82,79,137,136,134])).
% 0.92/1.01 cnf(398,plain,
% 0.92/1.01 (~P3(f7(a37),a37)),
% 0.92/1.01 inference(scs_inference,[],[93,95,97,98,99,103,104,107,116,89,90,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152,151,150,141,140,139,131,130,128,127,123,122,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,234,86,85,84,82,79,137,136,134,143])).
% 0.92/1.01 cnf(400,plain,
% 0.92/1.01 (P3(f19(f2(a3)),a37)),
% 0.92/1.01 inference(scs_inference,[],[93,95,97,98,99,103,104,107,116,89,90,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152,151,150,141,140,139,131,130,128,127,123,122,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,234,86,85,84,82,79,137,136,134,143,142])).
% 0.92/1.01 cnf(404,plain,
% 0.92/1.01 (E(f2(f19(f2(a3))),f2(a3))),
% 0.92/1.01 inference(scs_inference,[],[93,95,97,98,99,103,104,107,116,89,90,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152,151,150,141,140,139,131,130,128,127,123,122,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,234,86,85,84,82,79,137,136,134,143,142,135,133])).
% 0.92/1.01 cnf(410,plain,
% 0.92/1.01 (~P3(f7(a37),a44)),
% 0.92/1.01 inference(scs_inference,[],[93,95,97,98,99,103,104,107,116,89,90,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152,151,150,141,140,139,131,130,128,127,123,122,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,234,86,85,84,82,79,137,136,134,143,142,135,133,163,181,173])).
% 0.92/1.01 cnf(412,plain,
% 0.92/1.01 (P5(f6(a46,f35(a46)))),
% 0.92/1.01 inference(scs_inference,[],[93,94,95,96,97,98,99,103,104,107,116,89,90,110,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152,151,150,141,140,139,131,130,128,127,123,122,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,234,86,85,84,82,79,137,136,134,143,142,135,133,163,181,173,144])).
% 0.92/1.01 cnf(430,plain,
% 0.92/1.01 (P7(f5(a42,a3),f5(a42,a3))),
% 0.92/1.01 inference(scs_inference,[],[93,94,95,96,97,98,99,103,104,107,116,89,90,110,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152,151,150,141,140,139,131,130,128,127,123,122,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,234,86,85,84,82,79,137,136,134,143,142,135,133,163,181,173,144,167,159,169,158,157,156,155,154,221])).
% 0.92/1.01 cnf(432,plain,
% 0.92/1.01 (~P9(f2(f2(a3)),f2(a3))),
% 0.92/1.01 inference(scs_inference,[],[93,94,95,96,97,98,99,103,104,107,116,89,90,110,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152,151,150,141,140,139,131,130,128,127,123,122,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,234,86,85,84,82,79,137,136,134,143,142,135,133,163,181,173,144,167,159,169,158,157,156,155,154,221,203])).
% 0.92/1.01 cnf(434,plain,
% 0.92/1.01 (~P7(f4(f2(a3)),f4(a3))),
% 0.92/1.01 inference(scs_inference,[],[93,94,95,96,97,98,99,103,104,107,116,89,90,110,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152,151,150,141,140,139,131,130,128,127,123,122,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,234,86,85,84,82,79,137,136,134,143,142,135,133,163,181,173,144,167,159,169,158,157,156,155,154,221,203,202])).
% 0.92/1.01 cnf(446,plain,
% 0.92/1.01 (~E(f4(a3),f4(f2(a3)))),
% 0.92/1.01 inference(scs_inference,[],[117,93,94,95,96,97,98,99,103,104,107,116,89,90,110,112,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152,151,150,141,140,139,131,130,128,127,123,122,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,234,86,85,84,82,79,137,136,134,143,142,135,133,163,181,173,144,167,159,169,158,157,156,155,154,221,203,202,166,180,229,249,184,201])).
% 0.92/1.01 cnf(450,plain,
% 0.92/1.01 (P3(f28(a3,a37),a37)),
% 0.92/1.01 inference(scs_inference,[],[117,93,94,95,96,97,98,99,103,104,107,116,89,90,110,112,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152,151,150,141,140,139,131,130,128,127,123,122,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,234,86,85,84,82,79,137,136,134,143,142,135,133,163,181,173,144,167,159,169,158,157,156,155,154,221,203,202,166,180,229,249,184,201,172,212])).
% 0.92/1.01 cnf(452,plain,
% 0.92/1.01 (~E(f4(a3),f31(a37,f7(a37)))),
% 0.92/1.01 inference(scs_inference,[],[117,93,94,95,96,97,98,99,103,104,107,116,89,90,110,112,2,138,126,118,78,77,76,3,124,121,198,197,132,125,160,152,151,150,141,140,139,131,130,128,127,123,122,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,234,86,85,84,82,79,137,136,134,143,142,135,133,163,181,173,144,167,159,169,158,157,156,155,154,221,203,202,166,180,229,249,184,201,172,212,193])).
% 0.92/1.01 cnf(481,plain,
% 0.92/1.01 (~P9(a40,a3)),
% 0.92/1.01 inference(scs_inference,[],[116,104,103,432,299,283,182,225,161,195])).
% 0.92/1.01 cnf(484,plain,
% 0.92/1.01 (E(f34(x4841,f2(a1)),f34(x4841,a40))),
% 0.92/1.01 inference(rename_variables,[],[376])).
% 0.92/1.01 cnf(486,plain,
% 0.92/1.01 (P9(f2(f28(f2(a3),f4(a3))),f2(a3))),
% 0.92/1.01 inference(scs_inference,[],[116,104,103,376,267,432,434,446,269,299,283,182,225,161,195,196,227])).
% 0.92/1.01 cnf(487,plain,
% 0.92/1.01 (~P3(x4871,f4(a3))),
% 0.92/1.01 inference(rename_variables,[],[267])).
% 0.92/1.01 cnf(489,plain,
% 0.92/1.01 (P4(f24(a37,f7(a37),f4(a3)))),
% 0.92/1.01 inference(scs_inference,[],[116,104,93,103,376,267,487,452,432,434,446,269,309,299,283,182,225,161,195,196,227,236])).
% 0.92/1.01 cnf(490,plain,
% 0.92/1.01 (~P3(x4901,f4(a3))),
% 0.92/1.01 inference(rename_variables,[],[267])).
% 0.92/1.01 cnf(492,plain,
% 0.92/1.01 (~P9(f2(f28(a3,a37)),a3)),
% 0.92/1.01 inference(scs_inference,[],[116,104,93,103,376,267,487,452,271,432,434,446,269,309,299,450,283,182,225,161,195,196,227,236,238])).
% 0.92/1.01 cnf(494,plain,
% 0.92/1.01 (P4(a1)),
% 0.92/1.01 inference(scs_inference,[],[105,116,104,93,103,376,267,487,452,271,432,434,446,269,309,299,450,283,182,225,161,195,196,227,236,238,137])).
% 0.92/1.01 cnf(496,plain,
% 0.92/1.01 (P1(f6(a46,f35(a46)))),
% 0.92/1.01 inference(scs_inference,[],[105,116,110,94,104,93,103,376,267,487,452,271,432,434,446,269,309,299,450,283,182,225,161,195,196,227,236,238,137,136])).
% 0.92/1.01 cnf(498,plain,
% 0.92/1.01 (P7(f29(a42,f7(a37)),f35(a42))),
% 0.92/1.01 inference(scs_inference,[],[100,105,116,110,94,104,93,103,376,267,487,452,271,432,434,446,269,309,299,450,283,182,225,161,195,196,227,236,238,137,136,163])).
% 0.92/1.01 cnf(500,plain,
% 0.92/1.01 (~P7(a37,a33)),
% 0.92/1.01 inference(scs_inference,[],[100,105,116,110,94,104,95,93,103,376,267,487,452,271,432,434,446,269,309,299,450,273,275,283,182,225,161,195,196,227,236,238,137,136,163,144])).
% 0.92/1.01 cnf(510,plain,
% 0.92/1.01 (E(f32(f31(f4(a3),f7(a37)),f7(a37)),f4(a3))),
% 0.92/1.01 inference(scs_inference,[],[100,105,98,116,96,110,94,104,95,93,103,376,267,487,490,452,271,432,434,446,269,309,299,450,273,275,283,394,182,225,161,195,196,227,236,238,137,136,163,144,169,157,154,221,180])).
% 0.92/1.01 cnf(511,plain,
% 0.92/1.01 (~P3(x5111,f4(a3))),
% 0.92/1.01 inference(rename_variables,[],[267])).
% 0.92/1.01 cnf(514,plain,
% 0.92/1.01 (~P3(x5141,f4(a3))),
% 0.92/1.01 inference(rename_variables,[],[267])).
% 0.92/1.01 cnf(518,plain,
% 0.92/1.01 (P3(f28(f2(a3),f4(a3)),a37)),
% 0.92/1.01 inference(scs_inference,[],[100,105,98,116,96,110,94,104,95,93,103,376,267,487,490,511,514,452,271,305,432,434,446,269,309,299,450,273,275,283,394,182,225,161,195,196,227,236,238,137,136,163,144,169,157,154,221,180,184,172,212])).
% 0.92/1.01 cnf(519,plain,
% 0.92/1.01 (~P3(x5191,f4(a3))),
% 0.92/1.01 inference(rename_variables,[],[267])).
% 0.92/1.01 cnf(521,plain,
% 0.92/1.01 (~E(a37,a33)),
% 0.92/1.01 inference(scs_inference,[],[100,105,98,116,96,110,94,104,95,93,103,376,267,487,490,511,514,452,271,305,432,434,446,269,309,299,450,273,275,283,394,182,225,161,195,196,227,236,238,137,136,163,144,169,157,154,221,180,184,172,212,126])).
% 0.92/1.01 cnf(524,plain,
% 0.92/1.01 (~P9(f2(f2(a3)),f2(f19(f2(a3))))),
% 0.92/1.01 inference(scs_inference,[],[100,105,98,116,96,110,94,104,95,93,103,376,267,487,490,511,514,452,404,271,305,432,434,446,269,309,299,450,273,275,283,394,182,225,161,195,196,227,236,238,137,136,163,144,169,157,154,221,180,184,172,212,126,30,86])).
% 0.92/1.01 cnf(525,plain,
% 0.92/1.01 (~P9(f2(a1),a3)),
% 0.92/1.01 inference(scs_inference,[],[100,105,98,116,96,110,94,104,95,93,103,89,376,267,487,490,511,514,452,404,271,305,432,434,446,269,309,299,450,273,275,283,394,182,225,161,195,196,227,236,238,137,136,163,144,169,157,154,221,180,184,172,212,126,30,86,85])).
% 0.92/1.01 cnf(526,plain,
% 0.92/1.01 (~P6(f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 0.92/1.01 inference(scs_inference,[],[100,105,98,116,96,110,94,104,95,93,103,89,376,267,487,490,511,514,452,404,271,305,432,434,446,269,277,309,299,450,273,275,283,394,182,225,161,195,196,227,236,238,137,136,163,144,169,157,154,221,180,184,172,212,126,30,86,85,82])).
% 0.92/1.01 cnf(527,plain,
% 0.92/1.01 (P7(f5(a42,a3),a44)),
% 0.92/1.01 inference(scs_inference,[],[100,105,102,98,116,96,110,94,104,95,93,103,89,430,376,267,487,490,511,514,452,404,271,305,432,434,446,269,277,309,299,450,273,275,283,394,182,225,161,195,196,227,236,238,137,136,163,144,169,157,154,221,180,184,172,212,126,30,86,85,82,81])).
% 0.92/1.01 cnf(531,plain,
% 0.92/1.01 (~E(a44,a33)),
% 0.92/1.01 inference(scs_inference,[],[100,105,102,98,116,96,110,94,104,95,93,103,89,430,376,267,487,490,511,514,396,452,404,271,305,383,432,434,446,269,277,309,299,450,273,275,283,394,182,225,161,195,196,227,236,238,137,136,163,144,169,157,154,221,180,184,172,212,126,30,86,85,82,81,76,124,121])).
% 0.92/1.01 cnf(539,plain,
% 0.92/1.01 (~P3(a48,f6(a46,f35(a46)))),
% 0.92/1.01 inference(scs_inference,[],[117,100,105,102,98,116,96,110,94,104,95,93,103,89,430,376,267,487,490,511,514,396,452,404,271,305,383,432,434,446,269,277,309,299,450,273,275,283,394,182,225,161,195,196,227,236,238,137,136,163,144,169,157,154,221,180,184,172,212,126,30,86,85,82,81,76,124,121,135,129,181,173])).
% 0.92/1.01 cnf(541,plain,
% 0.92/1.01 (P3(f2(a1),f4(f2(a40)))),
% 0.92/1.01 inference(scs_inference,[],[117,100,105,102,98,116,96,110,94,104,95,93,103,89,430,376,267,487,490,511,514,396,452,404,271,305,383,432,434,446,269,277,309,272,299,450,273,275,283,394,182,225,161,195,196,227,236,238,137,136,163,144,169,157,154,221,180,184,172,212,126,30,86,85,82,81,76,124,121,135,129,181,173,188])).
% 0.92/1.01 cnf(552,plain,
% 0.92/1.01 (P9(f7(f4(a3)),f7(f4(a3)))),
% 0.92/1.01 inference(scs_inference,[],[117,100,105,102,98,116,96,110,94,104,95,93,103,89,430,376,484,267,487,490,511,514,396,452,404,271,305,383,432,434,446,269,277,281,303,309,272,299,450,273,275,283,394,182,225,161,195,196,227,236,238,137,136,163,144,169,157,154,221,180,184,172,212,126,30,86,85,82,81,76,124,121,135,129,181,173,188,159,158,156,155,166])).
% 0.92/1.01 cnf(554,plain,
% 0.92/1.01 (~E(a40,a3)),
% 0.92/1.01 inference(scs_inference,[],[117,100,105,102,98,116,96,110,94,104,95,93,103,89,430,376,484,267,487,490,511,514,396,452,404,271,305,383,432,434,446,269,277,281,303,309,272,299,450,273,275,283,394,182,225,161,195,196,227,236,238,137,136,163,144,169,157,154,221,180,184,172,212,126,30,86,85,82,81,76,124,121,135,129,181,173,188,159,158,156,155,166,2])).
% 0.92/1.01 cnf(556,plain,
% 0.92/1.01 (~P5(f35(a42))),
% 0.92/1.01 inference(scs_inference,[],[117,100,105,91,102,98,116,96,110,94,104,95,93,103,89,430,376,484,267,487,490,511,514,396,452,404,271,305,383,432,434,446,269,277,281,303,309,272,299,450,273,275,283,394,182,225,161,195,196,227,236,238,137,136,163,144,169,157,154,221,180,184,172,212,126,30,86,85,82,81,76,124,121,135,129,181,173,188,159,158,156,155,166,2,80,79])).
% 0.92/1.01 cnf(565,plain,
% 0.92/1.01 (P7(f4(a3),a43)),
% 0.92/1.01 inference(scs_inference,[],[117,100,105,91,102,109,98,116,112,96,110,94,90,104,95,93,103,89,430,376,484,267,487,490,511,514,519,396,452,404,271,305,383,432,434,446,269,277,281,303,309,272,299,450,273,275,283,394,182,225,161,195,196,227,236,238,137,136,163,144,169,157,154,221,180,184,172,212,126,30,86,85,82,81,76,124,121,135,129,181,173,188,159,158,156,155,166,2,80,79,78,77,3,83,185,200,178])).
% 0.92/1.01 cnf(570,plain,
% 0.92/1.01 (~E(f2(a3),f38(a37))),
% 0.92/1.01 inference(scs_inference,[],[117,100,105,91,102,109,98,116,112,96,110,94,90,104,95,93,103,89,430,376,484,267,487,490,511,514,519,396,452,404,271,305,383,432,434,446,269,277,281,303,309,272,289,299,398,450,273,275,283,285,394,182,225,161,195,196,227,236,238,137,136,163,144,169,157,154,221,180,184,172,212,126,30,86,85,82,81,76,124,121,135,129,181,173,188,159,158,156,155,166,2,80,79,78,77,3,83,185,200,178,148,174])).
% 0.92/1.01 cnf(624,plain,
% 0.92/1.01 (~E(f38(f5(a42,a3)),f38(f5(a42,f2(a3))))),
% 0.92/1.01 inference(scs_inference,[],[103,388,299,225])).
% 0.92/1.01 cnf(626,plain,
% 0.92/1.01 (~P9(f2(a3),f25(a37,f2(a3)))),
% 0.92/1.01 inference(scs_inference,[],[103,388,570,521,285,299,225,213])).
% 0.92/1.01 cnf(628,plain,
% 0.92/1.01 (P3(f25(a37,f2(a3)),a37)),
% 0.92/1.01 inference(scs_inference,[],[103,388,570,521,285,299,225,213,199])).
% 0.92/1.01 cnf(631,plain,
% 0.92/1.01 (~P3(x6311,f4(a3))),
% 0.92/1.01 inference(rename_variables,[],[267])).
% 0.92/1.01 cnf(638,plain,
% 0.92/1.01 (~P3(x6381,f4(a3))),
% 0.92/1.01 inference(rename_variables,[],[267])).
% 0.92/1.01 cnf(647,plain,
% 0.92/1.01 (~P3(x6471,f4(a3))),
% 0.92/1.01 inference(rename_variables,[],[267])).
% 0.92/1.01 cnf(650,plain,
% 0.92/1.01 (~P3(x6501,f4(a3))),
% 0.92/1.01 inference(rename_variables,[],[267])).
% 0.92/1.01 cnf(682,plain,
% 0.92/1.01 (~P7(a37,f4(a3))),
% 0.92/1.01 inference(scs_inference,[],[264,92,113,106,107,97,90,95,96,94,104,93,103,279,496,387,388,552,486,489,410,570,527,518,565,500,521,531,554,301,267,631,638,647,305,273,275,285,394,299,309,269,225,213,199,204,142,133,215,169,221,148,184,239,157,203,161,197,124,155,154,180,166,198,85,158,30,86,173,156,2,81])).
% 0.92/1.01 cnf(683,plain,
% 0.92/1.01 (~P5(f35(a41))),
% 0.92/1.01 inference(scs_inference,[],[264,92,113,106,107,97,90,95,96,94,104,93,103,279,496,387,388,552,486,489,410,570,527,518,565,500,521,531,554,301,267,631,638,647,305,273,275,285,394,299,309,269,225,213,199,204,142,133,215,169,221,148,184,239,157,203,161,197,124,155,154,180,166,198,85,158,30,86,173,156,2,81,79])).
% 0.92/1.01 cnf(690,plain,
% 0.92/1.01 (P7(f14(a43,a3,f4(a3)),a43)),
% 0.92/1.01 inference(scs_inference,[],[89,264,92,113,106,91,107,97,90,95,96,94,104,93,103,279,496,387,388,552,486,489,410,541,570,527,518,565,500,521,531,554,301,398,267,631,638,647,650,305,273,275,285,394,299,309,269,225,213,199,204,142,133,215,169,221,148,184,239,157,203,161,197,124,155,154,180,166,198,85,158,30,86,173,156,2,81,79,80,78,77,3,209,243])).
% 0.92/1.01 cnf(691,plain,
% 0.92/1.01 (~P3(x6911,f4(a3))),
% 0.92/1.01 inference(rename_variables,[],[267])).
% 0.92/1.01 cnf(693,plain,
% 0.92/1.01 (E(f7(f14(a43,a3,f4(a3))),a3)),
% 0.92/1.01 inference(scs_inference,[],[89,264,92,113,106,91,107,97,90,95,96,94,104,93,103,279,496,387,388,552,486,489,410,541,570,527,518,565,500,521,531,554,301,398,267,631,638,647,650,691,305,273,275,285,394,299,309,269,225,213,199,204,142,133,215,169,221,148,184,239,157,203,161,197,124,155,154,180,166,198,85,158,30,86,173,156,2,81,79,80,78,77,3,209,243,241])).
% 0.92/1.01 cnf(702,plain,
% 0.92/1.01 (~P7(f35(a42),a43)),
% 0.92/1.01 inference(scs_inference,[],[89,264,92,113,106,91,107,97,90,105,95,96,94,104,93,103,279,496,387,388,552,486,489,510,410,541,556,570,527,492,518,525,565,500,521,531,554,301,398,267,631,638,647,650,691,305,273,275,285,394,299,309,269,225,213,199,204,142,133,215,169,221,148,184,239,157,203,161,197,124,155,154,180,166,198,85,158,30,86,173,156,2,81,79,80,78,77,3,209,243,241,185,182,178,144])).
% 0.92/1.01 cnf(730,plain,
% 0.92/1.01 (E(f34(x7301,f2(a1)),f34(x7301,a40))),
% 0.92/1.01 inference(rename_variables,[],[376])).
% 0.92/1.01 cnf(733,plain,
% 0.92/1.01 (~P3(x7331,f4(a3))),
% 0.92/1.01 inference(rename_variables,[],[267])).
% 0.92/1.01 cnf(741,plain,
% 0.92/1.01 (~P3(x7411,f4(a3))),
% 0.92/1.01 inference(rename_variables,[],[267])).
% 0.92/1.01 cnf(765,plain,
% 0.92/1.01 ($false),
% 0.92/1.01 inference(scs_inference,[],[108,111,114,91,112,113,98,95,96,104,94,103,624,481,526,524,626,628,498,683,693,539,690,682,702,392,494,496,404,412,400,376,730,267,733,741,521,117,285,269,299,174,196,184,185,182,239,198,161,144,124,173,30,85,79,86,82,80,81,3,2,78,77]),
% 0.92/1.01 ['proof']).
% 0.92/1.01 % SZS output end Proof
% 0.92/1.01 % Total time :0.380000s
%------------------------------------------------------------------------------