TSTP Solution File: NUM544+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM544+2 : 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 : n005.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 10:22:59 EDT 2023
% Result : Theorem 1.71s 1.84s
% Output : CNFRefutation 1.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM544+2 : 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
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 07:44:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 1.71/1.82 %-------------------------------------------
% 1.71/1.82 % File :CSE---1.6
% 1.71/1.82 % Problem :theBenchmark
% 1.71/1.82 % Transform :cnf
% 1.71/1.82 % Format :tptp:raw
% 1.71/1.82 % Command :java -jar mcs_scs.jar %d %s
% 1.71/1.82
% 1.71/1.82 % Result :Theorem 1.190000s
% 1.71/1.82 % Output :CNFRefutation 1.190000s
% 1.71/1.82 %-------------------------------------------
% 1.71/1.82 %------------------------------------------------------------------------------
% 1.71/1.82 % File : NUM544+2 : TPTP v8.1.2. Released v4.0.0.
% 1.71/1.82 % Domain : Number Theory
% 1.71/1.82 % Problem : Ramsey's Infinite Theorem 11_01, 01 expansion
% 1.71/1.82 % Version : Especial.
% 1.71/1.82 % English :
% 1.71/1.82
% 1.71/1.82 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 1.71/1.82 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 1.71/1.82 % Source : [Pas08]
% 1.71/1.82 % Names : ramsey_11_01.01 [Pas08]
% 1.71/1.82
% 1.71/1.82 % Status : Theorem
% 1.71/1.82 % Rating : 0.25 v8.1.0, 0.19 v7.5.0, 0.22 v7.4.0, 0.10 v7.3.0, 0.14 v7.1.0, 0.17 v6.4.0, 0.27 v6.3.0, 0.17 v6.2.0, 0.24 v6.1.0, 0.27 v6.0.0, 0.17 v5.5.0, 0.44 v5.4.0, 0.50 v5.3.0, 0.52 v5.2.0, 0.35 v5.1.0, 0.48 v5.0.0, 0.54 v4.1.0, 0.65 v4.0.1, 0.87 v4.0.0
% 1.71/1.82 % Syntax : Number of formulae : 56 ( 3 unt; 7 def)
% 1.71/1.82 % Number of atoms : 219 ( 32 equ)
% 1.71/1.82 % Maximal formula atoms : 12 ( 3 avg)
% 1.71/1.82 % Number of connectives : 178 ( 15 ~; 6 |; 60 &)
% 1.71/1.82 % ( 16 <=>; 81 =>; 0 <=; 0 <~>)
% 1.71/1.82 % Maximal formula depth : 12 ( 5 avg)
% 1.71/1.82 % Maximal term depth : 4 ( 1 avg)
% 1.71/1.82 % Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% 1.71/1.82 % Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% 1.71/1.82 % Number of variables : 98 ( 94 !; 4 ?)
% 1.71/1.82 % SPC : FOF_THM_RFO_SEQ
% 1.71/1.82
% 1.71/1.82 % Comments : Problem generated by the SAD system [VLP07]
% 1.71/1.82 %------------------------------------------------------------------------------
% 1.71/1.82 fof(mSetSort,axiom,
% 1.71/1.82 ! [W0] :
% 1.71/1.82 ( aSet0(W0)
% 1.71/1.82 => $true ) ).
% 1.71/1.82
% 1.71/1.82 fof(mElmSort,axiom,
% 1.71/1.82 ! [W0] :
% 1.71/1.82 ( aElement0(W0)
% 1.71/1.82 => $true ) ).
% 1.71/1.82
% 1.71/1.82 fof(mEOfElem,axiom,
% 1.71/1.82 ! [W0] :
% 1.71/1.82 ( aSet0(W0)
% 1.71/1.82 => ! [W1] :
% 1.71/1.82 ( aElementOf0(W1,W0)
% 1.71/1.82 => aElement0(W1) ) ) ).
% 1.71/1.82
% 1.71/1.82 fof(mFinRel,axiom,
% 1.71/1.82 ! [W0] :
% 1.71/1.82 ( aSet0(W0)
% 1.71/1.82 => ( isFinite0(W0)
% 1.71/1.82 => $true ) ) ).
% 1.71/1.82
% 1.71/1.82 fof(mDefEmp,definition,
% 1.71/1.82 ! [W0] :
% 1.71/1.82 ( W0 = slcrc0
% 1.71/1.82 <=> ( aSet0(W0)
% 1.71/1.82 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ).
% 1.71/1.82
% 1.71/1.82 fof(mEmpFin,axiom,
% 1.71/1.82 isFinite0(slcrc0) ).
% 1.71/1.82
% 1.71/1.82 fof(mCntRel,axiom,
% 1.71/1.82 ! [W0] :
% 1.71/1.82 ( aSet0(W0)
% 1.71/1.82 => ( isCountable0(W0)
% 1.71/1.82 => $true ) ) ).
% 1.71/1.82
% 1.71/1.82 fof(mCountNFin,axiom,
% 1.71/1.82 ! [W0] :
% 1.71/1.82 ( ( aSet0(W0)
% 1.71/1.82 & isCountable0(W0) )
% 1.71/1.82 => ~ isFinite0(W0) ) ).
% 1.71/1.82
% 1.71/1.82 fof(mCountNFin_01,axiom,
% 1.71/1.82 ! [W0] :
% 1.71/1.82 ( ( aSet0(W0)
% 1.71/1.82 & isCountable0(W0) )
% 1.71/1.82 => W0 != slcrc0 ) ).
% 1.71/1.82
% 1.71/1.82 fof(mDefSub,definition,
% 1.71/1.82 ! [W0] :
% 1.71/1.83 ( aSet0(W0)
% 1.71/1.83 => ! [W1] :
% 1.71/1.83 ( aSubsetOf0(W1,W0)
% 1.71/1.83 <=> ( aSet0(W1)
% 1.71/1.83 & ! [W2] :
% 1.71/1.83 ( aElementOf0(W2,W1)
% 1.71/1.83 => aElementOf0(W2,W0) ) ) ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mSubFSet,axiom,
% 1.71/1.83 ! [W0] :
% 1.71/1.83 ( ( aSet0(W0)
% 1.71/1.83 & isFinite0(W0) )
% 1.71/1.83 => ! [W1] :
% 1.71/1.83 ( aSubsetOf0(W1,W0)
% 1.71/1.83 => isFinite0(W1) ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mSubRefl,axiom,
% 1.71/1.83 ! [W0] :
% 1.71/1.83 ( aSet0(W0)
% 1.71/1.83 => aSubsetOf0(W0,W0) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mSubASymm,axiom,
% 1.71/1.83 ! [W0,W1] :
% 1.71/1.83 ( ( aSet0(W0)
% 1.71/1.83 & aSet0(W1) )
% 1.71/1.83 => ( ( aSubsetOf0(W0,W1)
% 1.71/1.83 & aSubsetOf0(W1,W0) )
% 1.71/1.83 => W0 = W1 ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mSubTrans,axiom,
% 1.71/1.83 ! [W0,W1,W2] :
% 1.71/1.83 ( ( aSet0(W0)
% 1.71/1.83 & aSet0(W1)
% 1.71/1.83 & aSet0(W2) )
% 1.71/1.83 => ( ( aSubsetOf0(W0,W1)
% 1.71/1.83 & aSubsetOf0(W1,W2) )
% 1.71/1.83 => aSubsetOf0(W0,W2) ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mDefCons,definition,
% 1.71/1.83 ! [W0,W1] :
% 1.71/1.83 ( ( aSet0(W0)
% 1.71/1.83 & aElement0(W1) )
% 1.71/1.83 => ! [W2] :
% 1.71/1.83 ( W2 = sdtpldt0(W0,W1)
% 1.71/1.83 <=> ( aSet0(W2)
% 1.71/1.83 & ! [W3] :
% 1.71/1.83 ( aElementOf0(W3,W2)
% 1.71/1.83 <=> ( aElement0(W3)
% 1.71/1.83 & ( aElementOf0(W3,W0)
% 1.71/1.83 | W3 = W1 ) ) ) ) ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mDefDiff,definition,
% 1.71/1.83 ! [W0,W1] :
% 1.71/1.83 ( ( aSet0(W0)
% 1.71/1.83 & aElement0(W1) )
% 1.71/1.83 => ! [W2] :
% 1.71/1.83 ( W2 = sdtmndt0(W0,W1)
% 1.71/1.83 <=> ( aSet0(W2)
% 1.71/1.83 & ! [W3] :
% 1.71/1.83 ( aElementOf0(W3,W2)
% 1.71/1.83 <=> ( aElement0(W3)
% 1.71/1.83 & aElementOf0(W3,W0)
% 1.71/1.83 & W3 != W1 ) ) ) ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mConsDiff,axiom,
% 1.71/1.83 ! [W0] :
% 1.71/1.83 ( aSet0(W0)
% 1.71/1.83 => ! [W1] :
% 1.71/1.83 ( aElementOf0(W1,W0)
% 1.71/1.83 => sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mDiffCons,axiom,
% 1.71/1.83 ! [W0,W1] :
% 1.71/1.83 ( ( aElement0(W0)
% 1.71/1.83 & aSet0(W1) )
% 1.71/1.83 => ( ~ aElementOf0(W0,W1)
% 1.71/1.83 => sdtmndt0(sdtpldt0(W1,W0),W0) = W1 ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mCConsSet,axiom,
% 1.71/1.83 ! [W0] :
% 1.71/1.83 ( aElement0(W0)
% 1.71/1.83 => ! [W1] :
% 1.71/1.83 ( ( aSet0(W1)
% 1.71/1.83 & isCountable0(W1) )
% 1.71/1.83 => isCountable0(sdtpldt0(W1,W0)) ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mCDiffSet,axiom,
% 1.71/1.83 ! [W0] :
% 1.71/1.83 ( aElement0(W0)
% 1.71/1.83 => ! [W1] :
% 1.71/1.83 ( ( aSet0(W1)
% 1.71/1.83 & isCountable0(W1) )
% 1.71/1.83 => isCountable0(sdtmndt0(W1,W0)) ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mFConsSet,axiom,
% 1.71/1.83 ! [W0] :
% 1.71/1.83 ( aElement0(W0)
% 1.71/1.83 => ! [W1] :
% 1.71/1.83 ( ( aSet0(W1)
% 1.71/1.83 & isFinite0(W1) )
% 1.71/1.83 => isFinite0(sdtpldt0(W1,W0)) ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mFDiffSet,axiom,
% 1.71/1.83 ! [W0] :
% 1.71/1.83 ( aElement0(W0)
% 1.71/1.83 => ! [W1] :
% 1.71/1.83 ( ( aSet0(W1)
% 1.71/1.83 & isFinite0(W1) )
% 1.71/1.83 => isFinite0(sdtmndt0(W1,W0)) ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mNATSet,axiom,
% 1.71/1.83 ( aSet0(szNzAzT0)
% 1.71/1.83 & isCountable0(szNzAzT0) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mZeroNum,axiom,
% 1.71/1.83 aElementOf0(sz00,szNzAzT0) ).
% 1.71/1.83
% 1.71/1.83 fof(mSuccNum,axiom,
% 1.71/1.83 ! [W0] :
% 1.71/1.83 ( aElementOf0(W0,szNzAzT0)
% 1.71/1.83 => ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
% 1.71/1.83 & szszuzczcdt0(W0) != sz00 ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mSuccEquSucc,axiom,
% 1.71/1.83 ! [W0,W1] :
% 1.71/1.83 ( ( aElementOf0(W0,szNzAzT0)
% 1.71/1.83 & aElementOf0(W1,szNzAzT0) )
% 1.71/1.83 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 1.71/1.83 => W0 = W1 ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mNatExtra,axiom,
% 1.71/1.83 ! [W0] :
% 1.71/1.83 ( aElementOf0(W0,szNzAzT0)
% 1.71/1.83 => ( W0 = sz00
% 1.71/1.83 | ? [W1] :
% 1.71/1.83 ( aElementOf0(W1,szNzAzT0)
% 1.71/1.83 & W0 = szszuzczcdt0(W1) ) ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mNatNSucc,axiom,
% 1.71/1.83 ! [W0] :
% 1.71/1.83 ( aElementOf0(W0,szNzAzT0)
% 1.71/1.83 => W0 != szszuzczcdt0(W0) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mLessRel,axiom,
% 1.71/1.83 ! [W0,W1] :
% 1.71/1.83 ( ( aElementOf0(W0,szNzAzT0)
% 1.71/1.83 & aElementOf0(W1,szNzAzT0) )
% 1.71/1.83 => ( sdtlseqdt0(W0,W1)
% 1.71/1.83 => $true ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mZeroLess,axiom,
% 1.71/1.83 ! [W0] :
% 1.71/1.83 ( aElementOf0(W0,szNzAzT0)
% 1.71/1.83 => sdtlseqdt0(sz00,W0) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mNoScLessZr,axiom,
% 1.71/1.83 ! [W0] :
% 1.71/1.83 ( aElementOf0(W0,szNzAzT0)
% 1.71/1.83 => ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mSuccLess,axiom,
% 1.71/1.83 ! [W0,W1] :
% 1.71/1.83 ( ( aElementOf0(W0,szNzAzT0)
% 1.71/1.83 & aElementOf0(W1,szNzAzT0) )
% 1.71/1.83 => ( sdtlseqdt0(W0,W1)
% 1.71/1.83 <=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mLessSucc,axiom,
% 1.71/1.83 ! [W0] :
% 1.71/1.83 ( aElementOf0(W0,szNzAzT0)
% 1.71/1.83 => sdtlseqdt0(W0,szszuzczcdt0(W0)) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mLessRefl,axiom,
% 1.71/1.83 ! [W0] :
% 1.71/1.83 ( aElementOf0(W0,szNzAzT0)
% 1.71/1.83 => sdtlseqdt0(W0,W0) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mLessASymm,axiom,
% 1.71/1.83 ! [W0,W1] :
% 1.71/1.83 ( ( aElementOf0(W0,szNzAzT0)
% 1.71/1.83 & aElementOf0(W1,szNzAzT0) )
% 1.71/1.83 => ( ( sdtlseqdt0(W0,W1)
% 1.71/1.83 & sdtlseqdt0(W1,W0) )
% 1.71/1.83 => W0 = W1 ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mLessTrans,axiom,
% 1.71/1.83 ! [W0,W1,W2] :
% 1.71/1.83 ( ( aElementOf0(W0,szNzAzT0)
% 1.71/1.83 & aElementOf0(W1,szNzAzT0)
% 1.71/1.83 & aElementOf0(W2,szNzAzT0) )
% 1.71/1.83 => ( ( sdtlseqdt0(W0,W1)
% 1.71/1.83 & sdtlseqdt0(W1,W2) )
% 1.71/1.83 => sdtlseqdt0(W0,W2) ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mLessTotal,axiom,
% 1.71/1.83 ! [W0,W1] :
% 1.71/1.83 ( ( aElementOf0(W0,szNzAzT0)
% 1.71/1.83 & aElementOf0(W1,szNzAzT0) )
% 1.71/1.83 => ( sdtlseqdt0(W0,W1)
% 1.71/1.83 | sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mIHSort,axiom,
% 1.71/1.83 ! [W0,W1] :
% 1.71/1.83 ( ( aElementOf0(W0,szNzAzT0)
% 1.71/1.83 & aElementOf0(W1,szNzAzT0) )
% 1.71/1.83 => ( iLess0(W0,W1)
% 1.71/1.83 => $true ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mIH,axiom,
% 1.71/1.83 ! [W0] :
% 1.71/1.83 ( aElementOf0(W0,szNzAzT0)
% 1.71/1.83 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mCardS,axiom,
% 1.71/1.83 ! [W0] :
% 1.71/1.83 ( aSet0(W0)
% 1.71/1.83 => aElement0(sbrdtbr0(W0)) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mCardNum,axiom,
% 1.71/1.83 ! [W0] :
% 1.71/1.83 ( aSet0(W0)
% 1.71/1.83 => ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
% 1.71/1.83 <=> isFinite0(W0) ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mCardEmpty,axiom,
% 1.71/1.83 ! [W0] :
% 1.71/1.83 ( aSet0(W0)
% 1.71/1.83 => ( sbrdtbr0(W0) = sz00
% 1.71/1.83 <=> W0 = slcrc0 ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mCardCons,axiom,
% 1.71/1.83 ! [W0] :
% 1.71/1.83 ( ( aSet0(W0)
% 1.71/1.83 & isFinite0(W0) )
% 1.71/1.83 => ! [W1] :
% 1.71/1.83 ( aElement0(W1)
% 1.71/1.83 => ( ~ aElementOf0(W1,W0)
% 1.71/1.83 => sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mCardDiff,axiom,
% 1.71/1.83 ! [W0] :
% 1.71/1.83 ( aSet0(W0)
% 1.71/1.83 => ! [W1] :
% 1.71/1.83 ( ( isFinite0(W0)
% 1.71/1.83 & aElementOf0(W1,W0) )
% 1.71/1.83 => szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mCardSub,axiom,
% 1.71/1.83 ! [W0] :
% 1.71/1.83 ( aSet0(W0)
% 1.71/1.83 => ! [W1] :
% 1.71/1.83 ( ( isFinite0(W0)
% 1.71/1.83 & aSubsetOf0(W1,W0) )
% 1.71/1.83 => sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ) ).
% 1.71/1.83
% 1.71/1.83 fof(mCardSubEx,axiom,
% 1.71/1.83 ! [W0,W1] :
% 1.71/1.83 ( ( aSet0(W0)
% 1.71/1.83 & aElementOf0(W1,szNzAzT0) )
% 1.71/1.84 => ( ( isFinite0(W0)
% 1.71/1.84 & sdtlseqdt0(W1,sbrdtbr0(W0)) )
% 1.71/1.84 => ? [W2] :
% 1.71/1.84 ( aSubsetOf0(W2,W0)
% 1.71/1.84 & sbrdtbr0(W2) = W1 ) ) ) ).
% 1.71/1.84
% 1.71/1.84 fof(mDefMin,definition,
% 1.71/1.84 ! [W0] :
% 1.71/1.84 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.71/1.84 & W0 != slcrc0 )
% 1.71/1.84 => ! [W1] :
% 1.71/1.84 ( W1 = szmzizndt0(W0)
% 1.71/1.84 <=> ( aElementOf0(W1,W0)
% 1.71/1.84 & ! [W2] :
% 1.71/1.84 ( aElementOf0(W2,W0)
% 1.71/1.84 => sdtlseqdt0(W1,W2) ) ) ) ) ).
% 1.71/1.84
% 1.71/1.84 fof(mDefMax,definition,
% 1.71/1.84 ! [W0] :
% 1.71/1.84 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.71/1.84 & isFinite0(W0)
% 1.71/1.84 & W0 != slcrc0 )
% 1.71/1.84 => ! [W1] :
% 1.71/1.84 ( W1 = szmzazxdt0(W0)
% 1.71/1.84 <=> ( aElementOf0(W1,W0)
% 1.71/1.84 & ! [W2] :
% 1.71/1.84 ( aElementOf0(W2,W0)
% 1.71/1.84 => sdtlseqdt0(W2,W1) ) ) ) ) ).
% 1.71/1.84
% 1.71/1.84 fof(mMinMin,axiom,
% 1.71/1.84 ! [W0,W1] :
% 1.71/1.84 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.71/1.84 & aSubsetOf0(W1,szNzAzT0)
% 1.71/1.84 & W0 != slcrc0
% 1.71/1.84 & W1 != slcrc0 )
% 1.71/1.84 => ( ( aElementOf0(szmzizndt0(W0),W1)
% 1.71/1.84 & aElementOf0(szmzizndt0(W1),W0) )
% 1.71/1.84 => szmzizndt0(W0) = szmzizndt0(W1) ) ) ).
% 1.71/1.84
% 1.71/1.84 fof(mDefSeg,definition,
% 1.71/1.84 ! [W0] :
% 1.71/1.84 ( aElementOf0(W0,szNzAzT0)
% 1.71/1.84 => ! [W1] :
% 1.71/1.84 ( W1 = slbdtrb0(W0)
% 1.71/1.84 <=> ( aSet0(W1)
% 1.71/1.84 & ! [W2] :
% 1.71/1.84 ( aElementOf0(W2,W1)
% 1.71/1.84 <=> ( aElementOf0(W2,szNzAzT0)
% 1.71/1.84 & sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ) ).
% 1.71/1.84
% 1.71/1.84 fof(mSegFin,axiom,
% 1.71/1.84 ! [W0] :
% 1.71/1.84 ( aElementOf0(W0,szNzAzT0)
% 1.71/1.84 => isFinite0(slbdtrb0(W0)) ) ).
% 1.71/1.84
% 1.71/1.84 fof(mSegZero,axiom,
% 1.71/1.84 slbdtrb0(sz00) = slcrc0 ).
% 1.71/1.84
% 1.71/1.84 fof(mSegSucc,axiom,
% 1.71/1.84 ! [W0,W1] :
% 1.71/1.84 ( ( aElementOf0(W0,szNzAzT0)
% 1.71/1.84 & aElementOf0(W1,szNzAzT0) )
% 1.71/1.84 => ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1)))
% 1.71/1.84 <=> ( aElementOf0(W0,slbdtrb0(W1))
% 1.71/1.84 | W0 = W1 ) ) ) ).
% 1.71/1.84
% 1.71/1.84 fof(mSegLess,axiom,
% 1.71/1.84 ! [W0,W1] :
% 1.71/1.84 ( ( aElementOf0(W0,szNzAzT0)
% 1.71/1.84 & aElementOf0(W1,szNzAzT0) )
% 1.71/1.84 => ( sdtlseqdt0(W0,W1)
% 1.71/1.84 <=> aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)) ) ) ).
% 1.71/1.84
% 1.71/1.84 fof(m__1986,hypothesis,
% 1.71/1.84 ( aSet0(xS)
% 1.71/1.84 & ! [W0] :
% 1.71/1.84 ( aElementOf0(W0,xS)
% 1.71/1.84 => aElementOf0(W0,szNzAzT0) )
% 1.71/1.84 & aSubsetOf0(xS,szNzAzT0)
% 1.71/1.84 & isFinite0(xS) ) ).
% 1.71/1.84
% 1.71/1.84 fof(m__,conjecture,
% 1.71/1.84 ( ~ ( ~ ? [W0] : aElementOf0(W0,xS)
% 1.71/1.84 | xS = slcrc0 )
% 1.71/1.84 => ( ( aElementOf0(szmzazxdt0(xS),xS)
% 1.71/1.84 & ! [W0] :
% 1.71/1.84 ( aElementOf0(W0,xS)
% 1.71/1.84 => sdtlseqdt0(W0,szmzazxdt0(xS)) ) )
% 1.71/1.84 => ( ( aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
% 1.71/1.84 & ! [W0] :
% 1.71/1.84 ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
% 1.71/1.84 <=> ( aElementOf0(W0,szNzAzT0)
% 1.71/1.84 & sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(szmzazxdt0(xS))) ) ) )
% 1.71/1.84 => ( ! [W0] :
% 1.71/1.84 ( aElementOf0(W0,xS)
% 1.71/1.84 => aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
% 1.71/1.84 | aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ) ) ) ).
% 1.71/1.84
% 1.71/1.84 %------------------------------------------------------------------------------
% 1.71/1.84 %-------------------------------------------
% 1.71/1.84 % Proof found
% 1.71/1.84 % SZS status Theorem for theBenchmark
% 1.71/1.84 % SZS output start Proof
% 1.71/1.84 %ClaNum:148(EqnAxiom:42)
% 1.71/1.84 %VarNum:618(SingletonVarNum:190)
% 1.71/1.84 %MaxLitNum:8
% 1.71/1.84 %MaxfuncDepth:3
% 1.71/1.84 %SharedTerms:25
% 1.71/1.84 %goalClause: 50 51 53 54 55 56 57 78 116 128 135
% 1.71/1.84 %singleGoalClaCount:7
% 1.71/1.84 [44]P1(a18)
% 1.71/1.84 [45]P1(a19)
% 1.71/1.84 [46]P4(a17)
% 1.71/1.84 [47]P4(a19)
% 1.71/1.84 [48]P5(a18)
% 1.71/1.84 [49]P2(a1,a18)
% 1.71/1.84 [50]P2(a3,a19)
% 1.71/1.84 [51]P2(a4,a19)
% 1.71/1.84 [52]P6(a19,a18)
% 1.71/1.84 [55]~E(a19,a17)
% 1.71/1.84 [43]E(f2(a1),a17)
% 1.71/1.84 [53]P2(f20(a19),a19)
% 1.71/1.84 [54]P1(f2(f21(f20(a19))))
% 1.71/1.84 [56]~P2(a4,f2(f21(f20(a19))))
% 1.71/1.84 [57]~P6(a19,f2(f21(f20(a19))))
% 1.71/1.84 [58]P1(x581)+~E(x581,a17)
% 1.71/1.84 [64]~P1(x641)+P6(x641,x641)
% 1.71/1.84 [70]~P2(x701,a19)+P2(x701,a18)
% 1.71/1.84 [71]~P2(x711,a18)+P8(a1,x711)
% 1.71/1.84 [77]P8(x771,x771)+~P2(x771,a18)
% 1.71/1.84 [62]~P1(x621)+P3(f5(x621))
% 1.71/1.84 [66]~P2(x661,a18)+~E(f21(x661),a1)
% 1.71/1.84 [67]~P2(x671,a18)+~E(f21(x671),x671)
% 1.71/1.84 [69]~P2(x691,a18)+P4(f2(x691))
% 1.71/1.84 [78]~P2(x781,a19)+P8(x781,f20(a19))
% 1.71/1.84 [79]~P2(x791,a18)+P2(f21(x791),a18)
% 1.80/1.84 [80]~P2(x801,a18)+P8(x801,f21(x801))
% 1.80/1.84 [81]~P2(x811,a18)+P7(x811,f21(x811))
% 1.80/1.84 [88]~P2(x881,a18)+~P8(f21(x881),a1)
% 1.80/1.84 [116]P2(x1161,a18)+~P2(x1161,f2(f21(f20(a19))))
% 1.80/1.84 [128]P8(f21(x1281),f21(f20(a19)))+~P2(x1281,f2(f21(f20(a19))))
% 1.80/1.84 [65]~P2(x652,x651)+~E(x651,a17)
% 1.80/1.84 [61]~P1(x611)+~P5(x611)+~E(x611,a17)
% 1.80/1.84 [63]~P4(x631)+~P5(x631)+~P1(x631)
% 1.80/1.84 [59]~P1(x591)+~E(x591,a17)+E(f5(x591),a1)
% 1.80/1.84 [60]~P1(x601)+E(x601,a17)+~E(f5(x601),a1)
% 1.80/1.84 [68]~P1(x681)+P2(f6(x681),x681)+E(x681,a17)
% 1.80/1.84 [74]~P1(x741)+~P4(x741)+P2(f5(x741),a18)
% 1.80/1.84 [82]~P2(x821,a18)+E(x821,a1)+P2(f7(x821),a18)
% 1.80/1.84 [83]~P1(x831)+P4(x831)+~P2(f5(x831),a18)
% 1.80/1.84 [72]~P2(x721,a18)+E(x721,a1)+E(f21(f7(x721)),x721)
% 1.80/1.84 [135]~P2(x1351,a18)+~P8(f21(x1351),f21(f20(a19)))+P2(x1351,f2(f21(f20(a19))))
% 1.80/1.84 [75]~P6(x751,x752)+P1(x751)+~P1(x752)
% 1.80/1.84 [76]~P2(x761,x762)+P3(x761)+~P1(x762)
% 1.80/1.84 [73]P1(x731)+~P2(x732,a18)+~E(x731,f2(x732))
% 1.80/1.84 [106]~P1(x1061)+~P2(x1062,x1061)+E(f15(f16(x1061,x1062),x1062),x1061)
% 1.80/1.84 [84]~P4(x842)+~P6(x841,x842)+P4(x841)+~P1(x842)
% 1.80/1.84 [87]P2(x872,x871)+~E(x872,f22(x871))+~P6(x871,a18)+E(x871,a17)
% 1.80/1.84 [90]~P1(x901)+~P3(x902)+~P4(x901)+P4(f15(x901,x902))
% 1.80/1.84 [91]~P1(x911)+~P3(x912)+~P4(x911)+P4(f16(x911,x912))
% 1.80/1.84 [92]~P1(x921)+~P3(x922)+~P5(x921)+P5(f15(x921,x922))
% 1.80/1.84 [93]~P1(x931)+~P3(x932)+~P5(x931)+P5(f16(x931,x932))
% 1.80/1.84 [94]E(x941,x942)+~E(f21(x941),f21(x942))+~P2(x942,a18)+~P2(x941,a18)
% 1.80/1.84 [97]~P1(x972)+~P4(x972)+~P6(x971,x972)+P8(f5(x971),f5(x972))
% 1.80/1.84 [104]~P1(x1041)+~P1(x1042)+P6(x1041,x1042)+P2(f8(x1042,x1041),x1041)
% 1.80/1.84 [110]P8(x1101,x1102)+P8(f21(x1102),x1101)+~P2(x1102,a18)+~P2(x1101,a18)
% 1.80/1.84 [119]~P8(x1191,x1192)+~P2(x1192,a18)+~P2(x1191,a18)+P6(f2(x1191),f2(x1192))
% 1.80/1.84 [120]~P8(x1201,x1202)+~P2(x1202,a18)+~P2(x1201,a18)+P8(f21(x1201),f21(x1202))
% 1.80/1.84 [122]~P1(x1221)+~P1(x1222)+P6(x1221,x1222)+~P2(f8(x1222,x1221),x1222)
% 1.80/1.84 [124]P8(x1241,x1242)+~P2(x1242,a18)+~P2(x1241,a18)+~P6(f2(x1241),f2(x1242))
% 1.80/1.84 [125]P8(x1251,x1252)+~P2(x1252,a18)+~P2(x1251,a18)+~P8(f21(x1251),f21(x1252))
% 1.80/1.84 [105]P2(x1052,x1051)+~P1(x1051)+~P3(x1052)+E(f16(f15(x1051,x1052),x1052),x1051)
% 1.80/1.84 [112]~E(x1121,x1122)+~P2(x1122,a18)+~P2(x1121,a18)+P2(x1121,f2(f21(x1122)))
% 1.80/1.84 [130]~P2(x1302,a18)+~P2(x1301,a18)+~P2(x1301,f2(x1302))+P2(x1301,f2(f21(x1302)))
% 1.80/1.84 [129]~P1(x1291)+~P4(x1291)+~P2(x1292,x1291)+E(f21(f5(f16(x1291,x1292))),f5(x1291))
% 1.80/1.84 [102]~P1(x1022)+~P6(x1023,x1022)+P2(x1021,x1022)+~P2(x1021,x1023)
% 1.80/1.84 [85]~P1(x852)+~P3(x853)+P1(x851)+~E(x851,f15(x852,x853))
% 1.80/1.84 [86]~P1(x862)+~P3(x863)+P1(x861)+~E(x861,f16(x862,x863))
% 1.80/1.84 [98]~P2(x981,x982)+~P2(x983,a18)+P2(x981,a18)+~E(x982,f2(x983))
% 1.80/1.84 [107]~P2(x1071,x1073)+~P2(x1072,a18)+P8(f21(x1071),x1072)+~E(x1073,f2(x1072))
% 1.80/1.84 [95]~P1(x952)+~P1(x951)+~P6(x952,x951)+~P6(x951,x952)+E(x951,x952)
% 1.80/1.84 [118]~P8(x1182,x1181)+~P8(x1181,x1182)+E(x1181,x1182)+~P2(x1182,a18)+~P2(x1181,a18)
% 1.80/1.84 [89]~P4(x891)+P2(x892,x891)+~E(x892,f20(x891))+~P6(x891,a18)+E(x891,a17)
% 1.80/1.84 [121]~P2(x1212,x1211)+P2(f11(x1211,x1212),x1211)+~P6(x1211,a18)+E(x1211,a17)+E(x1212,f22(x1211))
% 1.80/1.84 [131]~P1(x1311)+~P4(x1311)+~P2(x1312,a18)+~P8(x1312,f5(x1311))+P6(f12(x1311,x1312),x1311)
% 1.80/1.84 [132]~P1(x1321)+P2(f14(x1322,x1321),x1321)+~P2(x1322,a18)+E(x1321,f2(x1322))+P2(f14(x1322,x1321),a18)
% 1.80/1.84 [133]~P2(x1332,x1331)+~P6(x1331,a18)+~P8(x1332,f11(x1331,x1332))+E(x1331,a17)+E(x1332,f22(x1331))
% 1.80/1.84 [111]P2(x1112,x1111)+~P1(x1111)+~P3(x1112)+~P4(x1111)+E(f5(f15(x1111,x1112)),f21(f5(x1111)))
% 1.80/1.84 [127]~P1(x1271)+~P4(x1271)+~P2(x1272,a18)+~P8(x1272,f5(x1271))+E(f5(f12(x1271,x1272)),x1272)
% 1.80/1.84 [134]E(x1341,x1342)+P2(x1341,f2(x1342))+~P2(x1342,a18)+~P2(x1341,a18)+~P2(x1341,f2(f21(x1342)))
% 1.80/1.84 [139]~P1(x1391)+P2(f14(x1392,x1391),x1391)+~P2(x1392,a18)+E(x1391,f2(x1392))+P8(f21(f14(x1392,x1391)),x1392)
% 1.80/1.84 [103]~P2(x1033,x1031)+P8(x1032,x1033)+~E(x1032,f22(x1031))+~P6(x1031,a18)+E(x1031,a17)
% 1.80/1.84 [123]P2(x1231,x1232)+~P2(x1233,a18)+~P2(x1231,a18)+~P8(f21(x1231),x1233)+~E(x1232,f2(x1233))
% 1.80/1.84 [99]~P1(x994)+~P3(x992)+~P2(x991,x993)+~E(x991,x992)+~E(x993,f16(x994,x992))
% 1.80/1.84 [100]~P1(x1003)+~P3(x1004)+~P2(x1001,x1002)+P3(x1001)+~E(x1002,f15(x1003,x1004))
% 1.80/1.84 [101]~P1(x1013)+~P3(x1014)+~P2(x1011,x1012)+P3(x1011)+~E(x1012,f16(x1013,x1014))
% 1.80/1.84 [109]~P1(x1092)+~P3(x1094)+~P2(x1091,x1093)+P2(x1091,x1092)+~E(x1093,f16(x1092,x1094))
% 1.80/1.84 [126]~P4(x1261)+~P2(x1262,x1261)+P2(f13(x1261,x1262),x1261)+~P6(x1261,a18)+E(x1261,a17)+E(x1262,f20(x1261))
% 1.80/1.84 [137]~P4(x1371)+~P2(x1372,x1371)+~P6(x1371,a18)+~P8(f13(x1371,x1372),x1372)+E(x1371,a17)+E(x1372,f20(x1371))
% 1.80/1.84 [143]~P1(x1431)+~P2(x1432,a18)+~P2(f14(x1432,x1431),x1431)+E(x1431,f2(x1432))+~P2(f14(x1432,x1431),a18)+~P8(f21(f14(x1432,x1431)),x1432)
% 1.80/1.84 [114]~P1(x1142)+~P1(x1141)+~P6(x1143,x1142)+~P6(x1141,x1143)+P6(x1141,x1142)+~P1(x1143)
% 1.80/1.84 [138]~P8(x1381,x1383)+P8(x1381,x1382)+~P8(x1383,x1382)+~P2(x1382,a18)+~P2(x1383,a18)+~P2(x1381,a18)
% 1.80/1.84 [108]~P4(x1081)+~P2(x1082,x1081)+P8(x1082,x1083)+~E(x1083,f20(x1081))+~P6(x1081,a18)+E(x1081,a17)
% 1.80/1.84 [140]~P1(x1401)+~P1(x1402)+~P3(x1403)+P2(f9(x1402,x1403,x1401),x1401)+~E(f9(x1402,x1403,x1401),x1403)+E(x1401,f16(x1402,x1403))
% 1.80/1.84 [141]~P1(x1411)+~P1(x1412)+~P3(x1413)+P2(f10(x1412,x1413,x1411),x1411)+E(x1411,f15(x1412,x1413))+P3(f10(x1412,x1413,x1411))
% 1.80/1.84 [142]~P1(x1421)+~P1(x1422)+~P3(x1423)+P2(f9(x1422,x1423,x1421),x1421)+E(x1421,f16(x1422,x1423))+P3(f9(x1422,x1423,x1421))
% 1.80/1.84 [144]~P1(x1441)+~P1(x1442)+~P3(x1443)+P2(f9(x1442,x1443,x1441),x1441)+P2(f9(x1442,x1443,x1441),x1442)+E(x1441,f16(x1442,x1443))
% 1.80/1.84 [96]~P1(x964)+~P3(x963)+~P3(x961)+P2(x961,x962)+~E(x961,x963)+~E(x962,f15(x964,x963))
% 1.80/1.84 [113]~P1(x1133)+~P3(x1132)+~P2(x1131,x1134)+E(x1131,x1132)+P2(x1131,x1133)+~E(x1134,f15(x1133,x1132))
% 1.80/1.84 [115]~P1(x1153)+~P3(x1154)+~P3(x1151)+~P2(x1151,x1153)+P2(x1151,x1152)+~E(x1152,f15(x1153,x1154))
% 1.80/1.84 [136]E(f22(x1362),f22(x1361))+~P6(x1361,a18)+~P6(x1362,a18)+~P2(f22(x1361),x1362)+~P2(f22(x1362),x1361)+E(x1361,a17)+E(x1362,a17)
% 1.80/1.84 [145]~P1(x1451)+~P1(x1452)+~P3(x1453)+E(f10(x1452,x1453,x1451),x1453)+P2(f10(x1452,x1453,x1451),x1451)+P2(f10(x1452,x1453,x1451),x1452)+E(x1451,f15(x1452,x1453))
% 1.80/1.84 [146]~P1(x1461)+~P1(x1462)+~P3(x1463)+~E(f10(x1462,x1463,x1461),x1463)+~P2(f10(x1462,x1463,x1461),x1461)+E(x1461,f15(x1462,x1463))+~P3(f10(x1462,x1463,x1461))
% 1.80/1.84 [147]~P1(x1471)+~P1(x1472)+~P3(x1473)+~P2(f10(x1472,x1473,x1471),x1471)+~P2(f10(x1472,x1473,x1471),x1472)+E(x1471,f15(x1472,x1473))+~P3(f10(x1472,x1473,x1471))
% 1.80/1.84 [117]~P1(x1174)+~P3(x1172)+~P3(x1171)+~P2(x1171,x1174)+E(x1171,x1172)+P2(x1171,x1173)+~E(x1173,f16(x1174,x1172))
% 1.80/1.84 [148]~P1(x1481)+~P1(x1482)+~P3(x1483)+E(f9(x1482,x1483,x1481),x1483)+~P2(f9(x1482,x1483,x1481),x1481)+~P2(f9(x1482,x1483,x1481),x1482)+E(x1481,f16(x1482,x1483))+~P3(f9(x1482,x1483,x1481))
% 1.80/1.84 %EqnAxiom
% 1.80/1.84 [1]E(x11,x11)
% 1.80/1.84 [2]E(x22,x21)+~E(x21,x22)
% 1.80/1.84 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.80/1.84 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 1.80/1.84 [5]~E(x51,x52)+E(f20(x51),f20(x52))
% 1.80/1.84 [6]~E(x61,x62)+E(f14(x61,x63),f14(x62,x63))
% 1.80/1.84 [7]~E(x71,x72)+E(f14(x73,x71),f14(x73,x72))
% 1.80/1.84 [8]~E(x81,x82)+E(f21(x81),f21(x82))
% 1.80/1.84 [9]~E(x91,x92)+E(f9(x91,x93,x94),f9(x92,x93,x94))
% 1.80/1.84 [10]~E(x101,x102)+E(f9(x103,x101,x104),f9(x103,x102,x104))
% 1.80/1.84 [11]~E(x111,x112)+E(f9(x113,x114,x111),f9(x113,x114,x112))
% 1.80/1.84 [12]~E(x121,x122)+E(f13(x121,x123),f13(x122,x123))
% 1.80/1.84 [13]~E(x131,x132)+E(f13(x133,x131),f13(x133,x132))
% 1.80/1.84 [14]~E(x141,x142)+E(f22(x141),f22(x142))
% 1.80/1.84 [15]~E(x151,x152)+E(f5(x151),f5(x152))
% 1.80/1.84 [16]~E(x161,x162)+E(f12(x161,x163),f12(x162,x163))
% 1.80/1.84 [17]~E(x171,x172)+E(f12(x173,x171),f12(x173,x172))
% 1.80/1.84 [18]~E(x181,x182)+E(f8(x181,x183),f8(x182,x183))
% 1.80/1.84 [19]~E(x191,x192)+E(f8(x193,x191),f8(x193,x192))
% 1.80/1.84 [20]~E(x201,x202)+E(f10(x201,x203,x204),f10(x202,x203,x204))
% 1.80/1.84 [21]~E(x211,x212)+E(f10(x213,x211,x214),f10(x213,x212,x214))
% 1.80/1.84 [22]~E(x221,x222)+E(f10(x223,x224,x221),f10(x223,x224,x222))
% 1.80/1.84 [23]~E(x231,x232)+E(f16(x231,x233),f16(x232,x233))
% 1.80/1.84 [24]~E(x241,x242)+E(f16(x243,x241),f16(x243,x242))
% 1.80/1.84 [25]~E(x251,x252)+E(f15(x251,x253),f15(x252,x253))
% 1.80/1.84 [26]~E(x261,x262)+E(f15(x263,x261),f15(x263,x262))
% 1.80/1.84 [27]~E(x271,x272)+E(f7(x271),f7(x272))
% 1.80/1.84 [28]~E(x281,x282)+E(f11(x281,x283),f11(x282,x283))
% 1.80/1.84 [29]~E(x291,x292)+E(f11(x293,x291),f11(x293,x292))
% 1.80/1.84 [30]~E(x301,x302)+E(f6(x301),f6(x302))
% 1.80/1.84 [31]~P1(x311)+P1(x312)+~E(x311,x312)
% 1.80/1.84 [32]P2(x322,x323)+~E(x321,x322)+~P2(x321,x323)
% 1.80/1.84 [33]P2(x333,x332)+~E(x331,x332)+~P2(x333,x331)
% 1.80/1.84 [34]~P4(x341)+P4(x342)+~E(x341,x342)
% 1.80/1.84 [35]P6(x352,x353)+~E(x351,x352)+~P6(x351,x353)
% 1.80/1.84 [36]P6(x363,x362)+~E(x361,x362)+~P6(x363,x361)
% 1.80/1.84 [37]~P5(x371)+P5(x372)+~E(x371,x372)
% 1.80/1.84 [38]P8(x382,x383)+~E(x381,x382)+~P8(x381,x383)
% 1.80/1.84 [39]P8(x393,x392)+~E(x391,x392)+~P8(x393,x391)
% 1.80/1.84 [40]~P3(x401)+P3(x402)+~E(x401,x402)
% 1.80/1.84 [41]P7(x412,x413)+~E(x411,x412)+~P7(x411,x413)
% 1.80/1.84 [42]P7(x423,x422)+~E(x421,x422)+~P7(x423,x421)
% 1.80/1.84
% 1.80/1.84 %-------------------------------------------
% 1.80/1.85 cnf(149,plain,
% 1.80/1.85 (E(a17,f2(a1))),
% 1.80/1.85 inference(scs_inference,[],[43,2])).
% 1.80/1.85 cnf(150,plain,
% 1.80/1.85 (P8(a1,a1)),
% 1.80/1.85 inference(scs_inference,[],[49,43,2,77])).
% 1.80/1.85 cnf(152,plain,
% 1.80/1.85 (~P2(x1521,f2(a1))),
% 1.80/1.85 inference(scs_inference,[],[49,43,2,77,65])).
% 1.80/1.85 cnf(154,plain,
% 1.80/1.85 (P1(f2(a1))),
% 1.80/1.85 inference(scs_inference,[],[49,43,2,77,65,58])).
% 1.80/1.85 cnf(156,plain,
% 1.80/1.85 (~E(a18,f2(f21(f20(a19))))),
% 1.80/1.85 inference(scs_inference,[],[49,52,43,57,2,77,65,58,36])).
% 1.80/1.85 cnf(157,plain,
% 1.80/1.85 (P4(f2(a1))),
% 1.80/1.85 inference(scs_inference,[],[46,49,52,43,57,2,77,65,58,36,34])).
% 1.80/1.85 cnf(159,plain,
% 1.80/1.85 (P1(a17)),
% 1.80/1.85 inference(scs_inference,[],[50,46,49,52,43,57,2,77,65,58,36,34,33,31])).
% 1.80/1.85 cnf(160,plain,
% 1.80/1.85 (~P4(a18)),
% 1.80/1.85 inference(scs_inference,[],[50,44,46,48,49,52,43,57,2,77,65,58,36,34,33,31,63])).
% 1.80/1.85 cnf(162,plain,
% 1.80/1.85 (~P5(f2(a1))),
% 1.80/1.85 inference(scs_inference,[],[50,44,46,48,49,52,43,57,2,77,65,58,36,34,33,31,63,61])).
% 1.80/1.85 cnf(164,plain,
% 1.80/1.85 (P2(a3,a18)),
% 1.80/1.85 inference(scs_inference,[],[50,44,46,48,49,52,43,57,2,77,65,58,36,34,33,31,63,61,102])).
% 1.80/1.85 cnf(166,plain,
% 1.80/1.85 (P8(f21(a1),f21(a1))),
% 1.80/1.85 inference(scs_inference,[],[50,44,46,48,49,52,43,57,2,77,65,58,36,34,33,31,63,61,102,120])).
% 1.80/1.85 cnf(168,plain,
% 1.80/1.85 (P6(f2(a1),f2(a1))),
% 1.80/1.85 inference(scs_inference,[],[50,44,46,48,49,52,43,57,2,77,65,58,36,34,33,31,63,61,102,120,119])).
% 1.80/1.85 cnf(172,plain,
% 1.80/1.85 (P8(a1,a3)),
% 1.80/1.85 inference(scs_inference,[],[50,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71])).
% 1.80/1.85 cnf(174,plain,
% 1.80/1.85 (P2(a4,a18)),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70])).
% 1.80/1.85 cnf(176,plain,
% 1.80/1.85 (P6(a18,a18)),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64])).
% 1.80/1.85 cnf(180,plain,
% 1.80/1.85 (~P8(f21(a1),a1)),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88])).
% 1.80/1.85 cnf(182,plain,
% 1.80/1.85 (P7(a1,f21(a1))),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81])).
% 1.80/1.85 cnf(186,plain,
% 1.80/1.85 (P2(f21(a1),a18)),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79])).
% 1.80/1.85 cnf(190,plain,
% 1.80/1.85 (~E(f21(a1),a1)),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67])).
% 1.80/1.85 cnf(194,plain,
% 1.80/1.85 (P3(f5(a18))),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62])).
% 1.80/1.85 cnf(201,plain,
% 1.80/1.85 (E(f15(f2(a1),x2011),f15(a17,x2011))),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25])).
% 1.80/1.85 cnf(203,plain,
% 1.80/1.85 (E(f16(f2(a1),x2031),f16(a17,x2031))),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23])).
% 1.80/1.85 cnf(204,plain,
% 1.80/1.85 (E(f10(x2041,x2042,f2(a1)),f10(x2041,x2042,a17))),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22])).
% 1.80/1.85 cnf(205,plain,
% 1.80/1.85 (E(f10(x2051,f2(a1),x2052),f10(x2051,a17,x2052))),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21])).
% 1.80/1.85 cnf(206,plain,
% 1.80/1.85 (E(f10(f2(a1),x2061,x2062),f10(a17,x2061,x2062))),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20])).
% 1.80/1.85 cnf(210,plain,
% 1.80/1.85 (E(f12(f2(a1),x2101),f12(a17,x2101))),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16])).
% 1.80/1.85 cnf(211,plain,
% 1.80/1.85 (E(f5(f2(a1)),f5(a17))),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15])).
% 1.80/1.85 cnf(215,plain,
% 1.80/1.85 (E(f9(x2151,x2152,f2(a1)),f9(x2151,x2152,a17))),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11])).
% 1.80/1.85 cnf(216,plain,
% 1.80/1.85 (E(f9(x2161,f2(a1),x2162),f9(x2161,a17,x2162))),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10])).
% 1.80/1.85 cnf(217,plain,
% 1.80/1.85 (E(f9(f2(a1),x2171,x2172),f9(a17,x2171,x2172))),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9])).
% 1.80/1.85 cnf(219,plain,
% 1.80/1.85 (E(f14(x2191,f2(a1)),f14(x2191,a17))),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7])).
% 1.80/1.85 cnf(224,plain,
% 1.80/1.85 (~E(a1,f21(a1))),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38])).
% 1.80/1.85 cnf(225,plain,
% 1.80/1.85 (~E(a18,f2(a1))),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38,37])).
% 1.80/1.85 cnf(226,plain,
% 1.80/1.85 (~E(a18,a17)),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38,37,3])).
% 1.80/1.85 cnf(227,plain,
% 1.80/1.85 (P3(a1)),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38,37,3,76])).
% 1.80/1.85 cnf(229,plain,
% 1.80/1.85 (~P2(f5(a18),a18)),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38,37,3,76,83])).
% 1.80/1.85 cnf(231,plain,
% 1.80/1.85 (P2(f7(f21(a1)),a18)),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38,37,3,76,83,82])).
% 1.80/1.85 cnf(233,plain,
% 1.80/1.85 (P2(f5(a17),a18)),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38,37,3,76,83,82,74])).
% 1.80/1.85 cnf(235,plain,
% 1.80/1.85 (E(f21(f7(f21(a1))),f21(a1))),
% 1.80/1.85 inference(scs_inference,[],[50,51,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38,37,3,76,83,82,74,72])).
% 1.80/1.85 cnf(237,plain,
% 1.80/1.85 (P2(f6(a19),a19)),
% 1.80/1.85 inference(scs_inference,[],[50,51,55,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38,37,3,76,83,82,74,72,68])).
% 1.80/1.85 cnf(239,plain,
% 1.80/1.85 (~E(f5(a19),a1)),
% 1.80/1.85 inference(scs_inference,[],[50,51,55,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38,37,3,76,83,82,74,72,68,60])).
% 1.80/1.85 cnf(241,plain,
% 1.80/1.85 (E(f5(f2(a1)),a1)),
% 1.80/1.85 inference(scs_inference,[],[50,51,55,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38,37,3,76,83,82,74,72,68,60,59])).
% 1.80/1.85 cnf(243,plain,
% 1.80/1.85 (E(f15(f16(a18,a1),a1),a18)),
% 1.80/1.85 inference(scs_inference,[],[50,51,55,44,45,46,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38,37,3,76,83,82,74,72,68,60,59,106])).
% 1.80/1.85 cnf(245,plain,
% 1.80/1.85 (~P6(a18,a19)),
% 1.80/1.85 inference(scs_inference,[],[50,51,55,44,45,46,47,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38,37,3,76,83,82,74,72,68,60,59,106,84])).
% 1.80/1.85 cnf(247,plain,
% 1.80/1.85 (~P2(f5(a18),a17)),
% 1.80/1.85 inference(scs_inference,[],[50,51,55,44,45,46,47,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38,37,3,76,83,82,74,72,68,60,59,106,84,98])).
% 1.80/1.85 cnf(249,plain,
% 1.80/1.85 (P1(f16(f2(a1),f5(a18)))),
% 1.80/1.85 inference(scs_inference,[],[50,51,55,44,45,46,47,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38,37,3,76,83,82,74,72,68,60,59,106,84,98,86])).
% 1.80/1.85 cnf(251,plain,
% 1.80/1.85 (P1(f15(f2(a1),f5(a18)))),
% 1.80/1.85 inference(scs_inference,[],[50,51,55,44,45,46,47,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38,37,3,76,83,82,74,72,68,60,59,106,84,98,86,85])).
% 1.80/1.85 cnf(259,plain,
% 1.80/1.85 (P4(f16(a17,f5(a18)))),
% 1.80/1.85 inference(scs_inference,[],[50,51,55,44,45,46,47,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38,37,3,76,83,82,74,72,68,60,59,106,84,98,86,85,107,93,92,91])).
% 1.80/1.85 cnf(263,plain,
% 1.80/1.85 (~P8(f21(f21(a1)),f21(a1))),
% 1.80/1.85 inference(scs_inference,[],[50,51,55,44,45,46,47,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38,37,3,76,83,82,74,72,68,60,59,106,84,98,86,85,107,93,92,91,90,125])).
% 1.80/1.85 cnf(265,plain,
% 1.80/1.85 (~P6(f2(f21(a1)),f2(a1))),
% 1.80/1.85 inference(scs_inference,[],[50,51,55,44,45,46,47,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38,37,3,76,83,82,74,72,68,60,59,106,84,98,86,85,107,93,92,91,90,125,124])).
% 1.80/1.85 cnf(267,plain,
% 1.80/1.85 (~P2(f8(a19,a18),a19)),
% 1.80/1.85 inference(scs_inference,[],[50,51,55,44,45,46,47,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38,37,3,76,83,82,74,72,68,60,59,106,84,98,86,85,107,93,92,91,90,125,124,122])).
% 1.80/1.85 cnf(269,plain,
% 1.80/1.85 (P2(f8(a19,a18),a18)),
% 1.80/1.85 inference(scs_inference,[],[50,51,55,44,45,46,47,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38,37,3,76,83,82,74,72,68,60,59,106,84,98,86,85,107,93,92,91,90,125,124,122,104])).
% 1.80/1.85 cnf(273,plain,
% 1.80/1.85 (P8(f5(f2(a1)),f5(f2(a1)))),
% 1.80/1.85 inference(scs_inference,[],[50,51,55,44,45,46,47,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38,37,3,76,83,82,74,72,68,60,59,106,84,98,86,85,107,93,92,91,90,125,124,122,104,87,97])).
% 1.80/1.85 cnf(275,plain,
% 1.80/1.85 (E(f16(f15(a18,f5(a18)),f5(a18)),a18)),
% 1.80/1.85 inference(scs_inference,[],[50,51,55,44,45,46,47,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38,37,3,76,83,82,74,72,68,60,59,106,84,98,86,85,107,93,92,91,90,125,124,122,104,87,97,105])).
% 1.80/1.85 cnf(277,plain,
% 1.80/1.85 (E(f21(f5(f16(a19,a3))),f5(a19))),
% 1.80/1.85 inference(scs_inference,[],[50,51,55,44,45,46,47,48,49,52,43,57,54,2,77,65,58,36,34,33,31,63,61,102,120,119,114,71,70,64,78,88,81,80,79,69,67,66,62,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,38,37,3,76,83,82,74,72,68,60,59,106,84,98,86,85,107,93,92,91,90,125,124,122,104,87,97,105,129])).
% 1.80/1.85 cnf(318,plain,
% 1.80/1.85 (P2(f14(a1,a18),a18)),
% 1.80/1.85 inference(scs_inference,[],[44,49,225,229,116,132])).
% 1.80/1.85 cnf(320,plain,
% 1.80/1.85 (~P8(f21(f14(a1,a18)),a1)),
% 1.80/1.85 inference(scs_inference,[],[44,49,225,229,116,132,143])).
% 1.80/1.85 cnf(322,plain,
% 1.80/1.85 (P2(f6(a18),a18)),
% 1.80/1.85 inference(scs_inference,[],[44,49,225,229,226,116,132,143,68])).
% 1.80/1.85 cnf(324,plain,
% 1.80/1.85 (~P8(f21(a4),f21(f20(a19)))),
% 1.80/1.85 inference(scs_inference,[],[56,44,49,225,229,174,226,116,132,143,68,135])).
% 1.80/1.85 cnf(326,plain,
% 1.80/1.85 (E(f15(f16(a19,a3),a3),a19)),
% 1.80/1.85 inference(scs_inference,[],[50,56,45,44,49,225,229,174,226,116,132,143,68,135,106])).
% 1.80/1.85 cnf(328,plain,
% 1.80/1.85 (~P2(f5(a18),a19)),
% 1.80/1.85 inference(scs_inference,[],[50,56,52,45,44,49,225,229,174,226,116,132,143,68,135,106,102])).
% 1.80/1.85 cnf(333,plain,
% 1.80/1.85 (~E(a19,f16(f2(a1),f5(a18)))),
% 1.80/1.85 inference(scs_inference,[],[50,56,52,45,44,49,201,152,154,194,225,229,159,174,226,227,116,132,143,68,135,106,102,85,109])).
% 1.80/1.85 cnf(334,plain,
% 1.80/1.85 (~P2(x3341,f2(a1))),
% 1.80/1.85 inference(rename_variables,[],[152])).
% 1.80/1.85 cnf(341,plain,
% 1.80/1.85 (P8(f5(f2(a1)),f5(a17))),
% 1.80/1.85 inference(scs_inference,[],[50,56,47,55,52,45,44,49,201,152,273,211,154,194,180,225,229,159,174,176,226,227,116,132,143,68,135,106,102,85,109,103,111,2,39])).
% 1.80/1.85 cnf(345,plain,
% 1.80/1.85 (P3(a3)),
% 1.80/1.85 inference(scs_inference,[],[50,56,47,55,52,45,44,49,201,152,273,211,265,154,162,194,149,180,225,229,267,159,174,176,226,227,116,132,143,68,135,106,102,85,109,103,111,2,39,37,36,32,76])).
% 1.80/1.85 cnf(347,plain,
% 1.80/1.85 (~P5(a19)),
% 1.80/1.85 inference(scs_inference,[],[50,56,47,55,52,45,44,49,201,152,273,211,265,154,162,194,149,180,225,229,267,159,174,176,226,227,116,132,143,68,135,106,102,85,109,103,111,2,39,37,36,32,76,63])).
% 1.80/1.85 cnf(349,plain,
% 1.80/1.85 (P2(f5(a19),a18)),
% 1.80/1.85 inference(scs_inference,[],[50,56,47,55,52,45,44,49,201,152,273,211,265,154,162,194,149,180,225,229,267,159,174,176,226,227,116,132,143,68,135,106,102,85,109,103,111,2,39,37,36,32,76,63,74])).
% 1.80/1.85 cnf(351,plain,
% 1.80/1.85 (E(f21(f7(f5(a19))),f5(a19))),
% 1.80/1.85 inference(scs_inference,[],[50,56,47,55,52,45,44,49,201,152,273,211,265,154,162,194,149,180,225,229,239,267,159,174,176,226,227,116,132,143,68,135,106,102,85,109,103,111,2,39,37,36,32,76,63,74,72])).
% 1.80/1.85 cnf(355,plain,
% 1.80/1.85 (~P6(a18,a17)),
% 1.80/1.85 inference(scs_inference,[],[50,56,47,46,55,52,45,44,49,201,152,273,211,265,154,162,194,149,180,225,229,239,267,159,160,174,176,226,227,116,132,143,68,135,106,102,85,109,103,111,2,39,37,36,32,76,63,74,72,60,84])).
% 1.80/1.85 cnf(357,plain,
% 1.80/1.85 (P1(f16(f2(a1),a1))),
% 1.80/1.85 inference(scs_inference,[],[50,56,47,46,55,52,45,44,49,201,203,152,273,211,265,154,162,194,149,180,225,229,239,267,159,160,174,176,226,227,116,132,143,68,135,106,102,85,109,103,111,2,39,37,36,32,76,63,74,72,60,84,86])).
% 1.80/1.85 cnf(358,plain,
% 1.80/1.85 (E(f16(f2(a1),x3581),f16(a17,x3581))),
% 1.80/1.85 inference(rename_variables,[],[203])).
% 1.80/1.85 cnf(370,plain,
% 1.80/1.85 (E(f16(f15(f2(a1),f5(a18)),f5(a18)),f2(a1))),
% 1.80/1.85 inference(scs_inference,[],[50,56,47,46,55,52,45,44,49,190,201,203,152,334,273,211,263,265,154,162,194,149,180,186,225,229,239,267,159,160,174,176,226,227,116,132,143,68,135,106,102,85,109,103,111,2,39,37,36,32,76,63,74,72,60,84,86,107,91,90,94,87,105])).
% 1.80/1.85 cnf(371,plain,
% 1.80/1.85 (~P2(x3711,f2(a1))),
% 1.80/1.85 inference(rename_variables,[],[152])).
% 1.80/1.85 cnf(375,plain,
% 1.80/1.85 (P2(f11(a18,f21(a1)),a18)),
% 1.80/1.85 inference(scs_inference,[],[50,56,47,46,55,52,45,44,49,190,201,203,152,334,273,211,263,265,154,162,194,149,180,186,225,229,239,267,159,160,174,176,226,227,116,132,143,68,135,106,102,85,109,103,111,2,39,37,36,32,76,63,74,72,60,84,86,107,91,90,94,87,105,89,121])).
% 1.80/1.85 cnf(377,plain,
% 1.80/1.85 (~P8(f21(f7(f21(a1))),a1)),
% 1.80/1.85 inference(scs_inference,[],[50,56,47,46,55,52,45,44,49,190,201,203,152,334,273,235,211,263,265,154,162,194,149,180,186,225,229,239,267,159,160,174,176,226,227,116,132,143,68,135,106,102,85,109,103,111,2,39,37,36,32,76,63,74,72,60,84,86,107,91,90,94,87,105,89,121,38])).
% 1.80/1.85 cnf(379,plain,
% 1.80/1.85 (P1(f16(a17,f5(a18)))),
% 1.80/1.85 inference(scs_inference,[],[50,56,47,46,55,52,45,44,49,190,201,203,358,152,334,249,273,235,211,263,265,154,162,194,149,180,186,225,229,239,267,159,160,174,176,226,227,116,132,143,68,135,106,102,85,109,103,111,2,39,37,36,32,76,63,74,72,60,84,86,107,91,90,94,87,105,89,121,38,34,31])).
% 1.80/1.85 cnf(381,plain,
% 1.80/1.85 (~E(f2(a1),f2(f21(a1)))),
% 1.80/1.85 inference(scs_inference,[],[50,56,47,46,55,52,45,44,49,190,201,203,358,152,334,249,273,235,211,263,265,154,162,168,194,149,180,186,225,229,239,267,159,160,174,176,226,227,116,132,143,68,135,106,102,85,109,103,111,2,39,37,36,32,76,63,74,72,60,84,86,107,91,90,94,87,105,89,121,38,34,31,35])).
% 1.80/1.85 cnf(383,plain,
% 1.80/1.85 (E(f10(x3831,f2(a1),f2(a1)),f10(x3831,a17,a17))),
% 1.80/1.85 inference(scs_inference,[],[50,56,51,47,46,55,52,45,44,49,204,205,190,201,203,358,152,334,249,273,235,211,263,265,154,162,168,194,149,180,186,225,229,239,267,159,160,174,176,226,227,116,132,143,68,135,106,102,85,109,103,111,2,39,37,36,32,76,63,74,72,60,84,86,107,91,90,94,87,105,89,121,38,34,31,35,33,3])).
% 1.80/1.85 cnf(388,plain,
% 1.80/1.85 (~P8(f21(a1),f11(a18,f21(a1)))),
% 1.80/1.85 inference(scs_inference,[],[50,56,51,47,46,55,52,45,44,49,204,205,190,201,203,358,152,334,249,273,235,211,263,265,154,162,168,194,149,180,186,224,225,229,239,267,159,160,174,176,226,227,116,132,143,68,135,106,102,85,109,103,111,2,39,37,36,32,76,63,74,72,60,84,86,107,91,90,94,87,105,89,121,38,34,31,35,33,3,134,133])).
% 1.80/1.85 cnf(390,plain,
% 1.80/1.85 (P8(f21(f14(f21(a1),f2(a1))),f21(a1))),
% 1.80/1.85 inference(scs_inference,[],[50,56,51,47,46,55,52,45,44,49,204,205,190,201,203,358,152,334,371,249,273,235,211,263,265,154,162,168,194,149,180,186,224,225,229,239,267,159,160,174,176,226,227,116,132,143,68,135,106,102,85,109,103,111,2,39,37,36,32,76,63,74,72,60,84,86,107,91,90,94,87,105,89,121,38,34,31,35,33,3,134,133,139])).
% 1.80/1.85 cnf(391,plain,
% 1.80/1.85 (~P2(x3911,f2(a1))),
% 1.80/1.85 inference(rename_variables,[],[152])).
% 1.80/1.85 cnf(396,plain,
% 1.80/1.85 (~P8(f21(f21(a1)),f21(f11(a18,f21(a1))))),
% 1.80/1.85 inference(scs_inference,[],[50,56,51,47,46,55,52,45,44,49,204,205,190,201,203,358,152,334,371,391,249,273,235,211,263,265,154,162,168,194,149,180,186,224,225,229,239,267,159,160,174,176,226,227,116,132,143,68,135,106,102,85,109,103,111,2,39,37,36,32,76,63,74,72,60,84,86,107,91,90,94,87,105,89,121,38,34,31,35,33,3,134,133,139,144,125])).
% 1.80/1.85 cnf(398,plain,
% 1.80/1.85 (E(f21(f5(f16(a19,a4))),f5(a19))),
% 1.80/1.85 inference(scs_inference,[],[50,56,51,47,46,55,52,45,44,49,204,205,190,201,203,358,152,334,371,391,249,273,235,211,263,265,154,162,168,194,149,180,186,224,225,229,239,267,159,160,174,176,226,227,116,132,143,68,135,106,102,85,109,103,111,2,39,37,36,32,76,63,74,72,60,84,86,107,91,90,94,87,105,89,121,38,34,31,35,33,3,134,133,139,144,125,129])).
% 1.80/1.85 cnf(400,plain,
% 1.80/1.85 (P8(a1,f7(f21(a1)))),
% 1.80/1.85 inference(scs_inference,[],[50,56,51,47,46,55,52,45,44,49,204,205,190,201,203,358,152,334,371,391,249,273,235,211,263,265,154,162,168,194,231,149,180,186,224,225,229,239,267,159,160,174,176,226,227,116,132,143,68,135,106,102,85,109,103,111,2,39,37,36,32,76,63,74,72,60,84,86,107,91,90,94,87,105,89,121,38,34,31,35,33,3,134,133,139,144,125,129,110])).
% 1.80/1.85 cnf(430,plain,
% 1.80/1.85 (~P2(x4301,f2(a1))),
% 1.80/1.85 inference(rename_variables,[],[152])).
% 1.80/1.85 cnf(431,plain,
% 1.80/1.85 (~P2(x4311,x4312)+~E(x4312,f15(x4313,x4314))+P2(x4311,x4313)+E(x4311,x4314)+~P1(x4313)+~P3(x4314)),
% 1.80/1.85 inference(rename_variables,[],[113])).
% 1.80/1.85 cnf(432,plain,
% 1.80/1.85 (E(f2(a1),f16(f2(a1),a3))),
% 1.80/1.85 inference(scs_inference,[],[349,345,152,430,239,227,154,113,144])).
% 1.80/1.85 cnf(434,plain,
% 1.80/1.85 (~P2(x4341,f2(a1))),
% 1.80/1.85 inference(rename_variables,[],[152])).
% 1.80/1.85 cnf(436,plain,
% 1.80/1.85 (P2(f7(f5(a19)),a18)),
% 1.80/1.85 inference(scs_inference,[],[349,345,152,430,239,227,154,113,144,82])).
% 1.80/1.85 cnf(438,plain,
% 1.80/1.85 (~P2(f21(a1),f2(f21(a1)))),
% 1.80/1.85 inference(scs_inference,[],[49,349,345,190,152,430,434,239,227,154,186,113,144,82,134])).
% 1.80/1.85 cnf(439,plain,
% 1.80/1.85 (~P2(x4391,f2(a1))),
% 1.80/1.85 inference(rename_variables,[],[152])).
% 1.80/1.85 cnf(441,plain,
% 1.80/1.85 (~E(f21(f14(a1,a18)),f22(a18))),
% 1.80/1.85 inference(scs_inference,[],[49,320,349,345,190,152,430,434,239,227,176,226,154,186,113,144,82,134,103])).
% 1.80/1.85 cnf(443,plain,
% 1.80/1.85 (P8(f21(f21(a1)),f21(f21(a1)))),
% 1.80/1.85 inference(scs_inference,[],[49,166,320,349,345,190,152,430,434,239,227,176,226,154,186,113,144,82,134,103,120])).
% 1.80/1.85 cnf(449,plain,
% 1.80/1.85 (E(f16(f15(a19,f5(a18)),f5(a18)),a19)),
% 1.80/1.85 inference(scs_inference,[],[46,45,49,166,328,320,349,345,190,152,430,434,239,227,159,176,226,154,186,194,113,144,82,134,103,120,119,90,105])).
% 1.80/1.85 cnf(453,plain,
% 1.80/1.85 (~E(a18,f2(f11(a18,f21(a1))))),
% 1.80/1.85 inference(scs_inference,[],[46,45,49,166,388,328,375,320,247,349,345,190,152,430,434,239,227,159,176,226,154,186,194,113,144,82,134,103,120,119,90,105,111,107])).
% 1.80/1.85 cnf(455,plain,
% 1.80/1.85 (E(f7(f21(a1)),a1)),
% 1.80/1.85 inference(scs_inference,[],[46,45,49,166,388,328,375,320,247,349,345,190,235,152,430,434,239,227,231,159,176,226,154,186,194,113,144,82,134,103,120,119,90,105,111,107,94])).
% 1.80/1.85 cnf(459,plain,
% 1.80/1.85 (~E(a4,f5(a18))),
% 1.80/1.85 inference(scs_inference,[],[51,46,55,52,45,49,166,388,328,375,320,247,349,345,190,235,152,430,434,239,227,231,159,176,226,154,186,194,113,144,82,134,103,120,119,90,105,111,107,94,87,32])).
% 1.80/1.85 cnf(466,plain,
% 1.80/1.85 (~E(f21(a1),f11(a18,f21(a1)))),
% 1.80/1.85 inference(scs_inference,[],[51,46,55,52,47,45,49,166,388,328,379,375,259,320,247,349,345,190,235,152,430,434,239,227,231,159,176,226,154,186,194,113,144,82,134,103,120,119,90,105,111,107,94,87,32,63,91,89,39])).
% 1.80/1.85 cnf(467,plain,
% 1.80/1.85 (P6(f2(a1),a17)),
% 1.80/1.85 inference(scs_inference,[],[51,46,55,52,47,45,49,43,166,388,328,379,375,259,320,247,349,345,190,235,152,430,434,239,168,227,231,159,176,226,154,186,194,113,144,82,134,103,120,119,90,105,111,107,94,87,32,63,91,89,39,36])).
% 1.80/1.85 cnf(468,plain,
% 1.80/1.85 (P8(f11(a18,f21(a1)),a1)),
% 1.80/1.85 inference(scs_inference,[],[51,46,55,52,47,45,49,43,166,388,328,379,375,259,320,247,349,345,190,235,152,430,434,239,168,227,231,159,176,226,154,186,194,113,144,82,134,103,120,119,90,105,111,107,94,87,32,63,91,89,39,36,110])).
% 1.80/1.85 cnf(470,plain,
% 1.80/1.85 (P6(f2(a1),f2(f21(f20(a19))))),
% 1.80/1.85 inference(scs_inference,[],[51,46,54,55,52,47,45,49,43,166,388,328,379,375,259,320,247,349,345,190,235,152,430,434,439,239,168,227,231,159,176,226,154,186,194,113,144,82,134,103,120,119,90,105,111,107,94,87,32,63,91,89,39,36,110,104])).
% 1.80/1.85 cnf(471,plain,
% 1.80/1.85 (~P2(x4711,f2(a1))),
% 1.80/1.85 inference(rename_variables,[],[152])).
% 1.80/1.85 cnf(473,plain,
% 1.80/1.85 (E(f5(a19),f21(f5(f16(a19,a3))))),
% 1.80/1.85 inference(scs_inference,[],[51,46,54,55,52,47,45,49,43,277,166,388,328,379,375,259,320,247,349,345,190,235,152,430,434,439,239,168,227,231,159,176,226,154,186,194,113,144,82,134,103,120,119,90,105,111,107,94,87,32,63,91,89,39,36,110,104,2])).
% 1.80/1.85 cnf(475,plain,
% 1.80/1.85 (~P5(f16(f15(f2(a1),f5(a18)),f5(a18)))),
% 1.80/1.85 inference(scs_inference,[],[51,46,54,55,52,47,45,49,43,150,277,166,388,328,379,370,375,259,320,247,349,345,190,235,152,430,434,439,162,239,168,227,231,159,176,226,154,186,194,113,144,82,134,103,120,119,90,105,111,107,94,87,32,63,91,89,39,36,110,104,2,38,37])).
% 1.80/1.85 cnf(476,plain,
% 1.80/1.85 (~P4(f16(f15(a18,f5(a18)),f5(a18)))),
% 1.80/1.85 inference(scs_inference,[],[51,46,54,55,52,47,45,49,43,150,277,166,388,328,379,370,375,259,320,275,247,349,345,190,235,152,430,434,439,162,239,168,160,227,231,159,176,226,154,186,194,113,144,82,134,103,120,119,90,105,111,107,94,87,32,63,91,89,39,36,110,104,2,38,37,34])).
% 1.80/1.85 cnf(477,plain,
% 1.80/1.85 (~P2(x4771,a17)),
% 1.80/1.85 inference(scs_inference,[],[51,149,46,54,55,52,47,45,49,43,150,277,166,388,328,379,370,375,259,320,275,247,349,345,190,235,152,430,434,439,471,162,239,168,160,227,231,159,176,226,154,186,194,113,144,82,134,103,120,119,90,105,111,107,94,87,32,63,91,89,39,36,110,104,2,38,37,34,33])).
% 1.80/1.85 cnf(478,plain,
% 1.80/1.85 (~P6(f15(f16(a19,a3),a3),f2(f21(f20(a19))))),
% 1.80/1.85 inference(scs_inference,[],[51,149,57,46,54,55,52,47,45,49,43,150,277,166,388,328,379,370,375,259,320,275,326,247,349,345,190,235,152,430,434,439,471,162,239,168,160,227,231,159,176,226,154,186,194,113,144,82,134,103,120,119,90,105,111,107,94,87,32,63,91,89,39,36,110,104,2,38,37,34,33,35])).
% 1.80/1.85 cnf(484,plain,
% 1.80/1.85 (P1(f16(f15(f2(a1),f5(a18)),f5(a18)))),
% 1.80/1.85 inference(scs_inference,[],[51,149,57,46,54,55,52,47,45,49,43,150,277,166,388,206,328,379,383,370,375,259,320,333,275,326,247,349,345,190,235,152,430,434,439,471,162,239,168,160,227,231,159,176,226,154,186,194,113,144,82,134,103,120,119,90,105,111,107,94,87,32,63,91,89,39,36,110,104,2,38,37,34,33,35,3,140,73])).
% 1.80/1.85 cnf(486,plain,
% 1.80/1.85 (~E(a19,f15(f2(f21(f20(a19))),f5(a18)))),
% 1.80/1.85 inference(scs_inference,[],[51,149,57,56,46,54,55,52,47,45,49,43,150,277,166,388,206,328,379,383,370,375,259,320,333,275,326,247,349,345,190,235,152,430,434,439,471,162,239,168,160,227,231,159,176,226,154,186,194,113,144,82,134,103,120,119,90,105,111,107,94,87,32,63,91,89,39,36,110,104,2,38,37,34,33,35,3,140,73,431])).
% 1.80/1.85 cnf(492,plain,
% 1.80/1.85 (~E(a19,f16(f2(a1),a3))),
% 1.80/1.85 inference(scs_inference,[],[51,53,149,57,56,48,46,54,55,52,47,45,44,49,43,150,277,166,388,206,328,379,383,370,375,259,320,333,275,326,247,349,345,190,235,152,430,434,439,471,162,239,168,160,227,231,159,176,226,154,186,194,113,144,82,134,103,120,119,90,105,111,107,94,87,32,63,91,89,39,36,110,104,2,38,37,34,33,35,3,140,73,431,92,112,109])).
% 1.80/1.85 cnf(497,plain,
% 1.80/1.85 (~E(f2(f21(a1)),a17)),
% 1.80/1.85 inference(scs_inference,[],[51,53,149,57,56,48,46,54,55,52,47,45,44,49,43,150,277,166,388,206,328,379,383,370,375,259,320,333,275,326,247,349,345,190,235,152,430,434,439,471,162,239,168,160,227,231,159,176,226,154,186,194,113,144,82,134,103,120,119,90,105,111,107,94,87,32,63,91,89,39,36,110,104,2,38,37,34,33,35,3,140,73,431,92,112,109,93,65])).
% 1.80/1.85 cnf(502,plain,
% 1.80/1.85 (P2(f7(f21(a1)),f2(f21(f21(a1))))),
% 1.80/1.85 inference(scs_inference,[],[51,53,149,57,56,48,46,54,55,52,47,45,44,49,43,150,277,166,388,206,328,379,383,370,375,259,320,333,275,326,247,349,345,190,235,201,152,430,434,439,471,162,239,168,160,227,231,159,176,226,154,186,194,113,144,82,134,103,120,119,90,105,111,107,94,87,32,63,91,89,39,36,110,104,2,38,37,34,33,35,3,140,73,431,92,112,109,93,65,85,130])).
% 1.80/1.85 cnf(504,plain,
% 1.80/1.85 (P1(f16(f2(a1),a3))),
% 1.80/1.85 inference(scs_inference,[],[51,53,149,57,56,48,46,54,55,52,47,45,44,49,43,150,277,166,388,206,328,379,383,370,375,259,320,333,275,326,247,349,345,190,235,201,203,152,430,434,439,471,162,239,168,160,227,231,159,176,226,154,186,194,113,144,82,134,103,120,119,90,105,111,107,94,87,32,63,91,89,39,36,110,104,2,38,37,34,33,35,3,140,73,431,92,112,109,93,65,85,130,86])).
% 1.80/1.85 cnf(518,plain,
% 1.80/1.85 (E(a17,f16(a17,a1))),
% 1.80/1.85 inference(scs_inference,[],[477,227,159,144])).
% 1.80/1.85 cnf(519,plain,
% 1.80/1.85 (~P2(x5191,a17)),
% 1.80/1.85 inference(rename_variables,[],[477])).
% 1.80/1.85 cnf(520,plain,
% 1.80/1.85 (~P2(x5201,a17)),
% 1.80/1.85 inference(rename_variables,[],[477])).
% 1.80/1.85 cnf(524,plain,
% 1.80/1.85 (~P2(x5241,f16(f2(a1),a1))),
% 1.80/1.85 inference(scs_inference,[],[48,44,477,520,203,227,159,144,92,109])).
% 1.80/1.85 cnf(527,plain,
% 1.80/1.85 (E(f16(f2(a1),a1),a17)),
% 1.80/1.85 inference(scs_inference,[],[48,44,357,477,520,203,227,159,144,92,109,68])).
% 1.80/1.85 cnf(530,plain,
% 1.80/1.85 (~P2(x5301,a17)),
% 1.80/1.85 inference(rename_variables,[],[477])).
% 1.80/1.85 cnf(536,plain,
% 1.80/1.85 (P6(a17,a17)),
% 1.80/1.85 inference(scs_inference,[],[48,46,44,357,477,520,519,530,203,375,388,227,159,186,144,92,109,68,111,93,110,104])).
% 1.80/1.85 cnf(537,plain,
% 1.80/1.85 (~P2(x5371,a17)),
% 1.80/1.85 inference(rename_variables,[],[477])).
% 1.80/1.85 cnf(541,plain,
% 1.80/1.85 (P8(f5(f2(a1)),a1)),
% 1.80/1.85 inference(scs_inference,[],[48,46,44,245,473,357,477,520,519,530,241,273,203,375,349,388,227,176,159,186,144,92,109,68,111,93,110,104,36,32,39])).
% 1.80/1.85 cnf(545,plain,
% 1.80/1.85 (P6(a17,f2(f21(f20(a19))))),
% 1.80/1.85 inference(scs_inference,[],[48,46,44,43,245,486,475,470,473,357,477,520,519,530,468,377,241,273,203,375,349,388,227,176,159,186,144,92,109,68,111,93,110,104,36,32,39,37,38,2,35])).
% 1.80/1.85 cnf(549,plain,
% 1.80/1.85 (P4(f16(f2(a1),a3))),
% 1.80/1.85 inference(scs_inference,[],[48,46,44,43,245,486,475,470,502,473,357,432,157,477,520,519,530,537,468,377,497,241,273,203,375,349,388,227,176,159,186,144,92,109,68,111,93,110,104,36,32,39,37,38,2,35,33,3,34])).
% 1.80/1.85 cnf(550,plain,
% 1.80/1.85 (P2(f13(a19,a4),a19)+E(a4,f20(a19))),
% 1.80/1.85 inference(scs_inference,[],[51,48,46,55,52,47,44,43,245,486,475,470,502,473,357,432,157,477,520,519,530,537,468,377,497,241,273,203,375,349,388,227,176,159,186,144,92,109,68,111,93,110,104,36,32,39,37,38,2,35,33,3,34,126])).
% 1.80/1.85 cnf(552,plain,
% 1.80/1.85 (~P6(a19,a17)),
% 1.80/1.85 inference(scs_inference,[],[51,57,48,46,55,54,52,47,45,44,43,245,486,475,470,502,473,357,432,157,477,520,519,530,537,468,377,497,241,273,203,375,349,388,227,176,159,186,144,92,109,68,111,93,110,104,36,32,39,37,38,2,35,33,3,34,126,114])).
% 1.80/1.85 cnf(554,plain,
% 1.80/1.85 (~P5(f16(f2(a1),a1))),
% 1.80/1.85 inference(scs_inference,[],[51,57,48,46,55,54,52,47,45,44,43,245,486,475,470,502,473,357,432,157,477,520,519,530,537,468,377,497,241,273,203,375,349,388,227,176,159,186,144,92,109,68,111,93,110,104,36,32,39,37,38,2,35,33,3,34,126,114,61])).
% 1.80/1.85 cnf(556,plain,
% 1.80/1.85 (~P8(f13(a19,a4),a4)+E(a4,f20(a19))),
% 1.80/1.85 inference(scs_inference,[],[51,57,48,46,55,54,52,47,45,44,43,245,486,475,470,502,473,357,432,157,477,520,519,530,537,468,377,497,241,273,203,375,349,388,227,176,159,186,144,92,109,68,111,93,110,104,36,32,39,37,38,2,35,33,3,34,126,114,61,137])).
% 1.80/1.85 cnf(570,plain,
% 1.80/1.85 (E(f5(f16(f2(a1),a1)),a1)),
% 1.80/1.85 inference(scs_inference,[],[56,54,459,527,174,357,194,113,59])).
% 1.80/1.85 cnf(572,plain,
% 1.80/1.85 (P2(f9(f2(a1),a3,a19),a19)),
% 1.80/1.85 inference(scs_inference,[],[56,54,45,459,527,492,174,152,357,345,154,194,113,59,144])).
% 1.80/1.85 cnf(575,plain,
% 1.80/1.85 (~P6(a19,f2(a1))),
% 1.80/1.85 inference(scs_inference,[],[56,54,45,467,552,459,527,492,174,152,357,345,159,154,194,113,59,144,114])).
% 1.80/1.85 cnf(579,plain,
% 1.80/1.85 (~P5(f16(f2(a1),a3))),
% 1.80/1.85 inference(scs_inference,[],[56,54,45,504,549,467,552,459,527,492,174,152,357,345,159,154,194,113,59,144,114,109,63])).
% 1.80/1.85 cnf(583,plain,
% 1.80/1.85 (P2(f8(a17,a19),a19)),
% 1.80/1.85 inference(scs_inference,[],[56,54,45,504,549,467,552,459,527,492,475,251,174,152,357,345,159,154,194,113,59,144,114,109,63,93,104])).
% 1.80/1.85 cnf(587,plain,
% 1.80/1.85 (P8(f5(a17),f5(a17))),
% 1.80/1.85 inference(scs_inference,[],[53,56,54,45,43,341,504,549,467,552,459,527,355,492,475,251,211,174,152,357,267,345,159,154,194,113,59,144,114,109,63,93,104,36,32,38])).
% 1.80/1.85 cnf(592,plain,
% 1.80/1.85 (~P2(x5921,f16(f2(a1),a1))),
% 1.80/1.85 inference(rename_variables,[],[524])).
% 1.80/1.85 cnf(593,plain,
% 1.80/1.85 (E(f9(x5931,f2(a1),f2(a1)),f9(x5931,a17,a17))),
% 1.80/1.85 inference(scs_inference,[],[53,56,48,54,45,43,554,341,504,524,549,215,216,396,467,552,459,527,355,443,492,475,251,211,174,152,357,267,345,159,154,194,113,59,144,114,109,63,93,104,36,32,38,39,37,35,33,3])).
% 1.80/1.85 cnf(596,plain,
% 1.80/1.85 (E(a1,f7(f21(a1)))),
% 1.80/1.85 inference(scs_inference,[],[53,56,48,54,45,43,554,455,341,504,524,549,215,216,396,467,552,459,527,355,443,492,475,251,211,174,152,357,267,345,159,154,194,113,59,144,114,109,63,93,104,36,32,38,39,37,35,33,3,2])).
% 1.80/1.85 cnf(597,plain,
% 1.80/1.85 (~E(a17,f16(f15(a18,f5(a18)),f5(a18)))),
% 1.80/1.85 inference(scs_inference,[],[53,56,48,46,54,45,43,554,455,341,504,524,549,215,216,396,476,467,552,459,527,355,443,492,475,251,211,174,152,357,267,345,159,154,194,113,59,144,114,109,63,93,104,36,32,38,39,37,35,33,3,2,34])).
% 1.80/1.85 cnf(600,plain,
% 1.80/1.85 (E(f5(f12(a17,f5(a17))),f5(a17))),
% 1.80/1.85 inference(scs_inference,[],[53,56,48,46,54,45,43,554,455,341,504,524,549,215,216,396,476,467,552,459,527,355,443,492,233,475,251,211,174,152,357,267,227,345,159,154,194,113,59,144,114,109,63,93,104,36,32,38,39,37,35,33,3,2,34,99,127])).
% 1.80/1.85 cnf(602,plain,
% 1.80/1.85 (~P8(f21(f7(f5(a19))),a1)),
% 1.80/1.85 inference(scs_inference,[],[53,149,56,48,46,54,45,49,43,554,455,341,504,524,549,215,216,396,476,467,552,459,527,436,355,443,492,233,475,251,211,174,152,357,477,267,227,345,159,154,194,113,59,144,114,109,63,93,104,36,32,38,39,37,35,33,3,2,34,99,127,123])).
% 1.80/1.85 cnf(605,plain,
% 1.80/1.85 (P3(f7(f21(a1)))),
% 1.80/1.85 inference(scs_inference,[],[53,149,56,48,46,54,45,49,43,554,455,341,504,524,549,215,216,396,476,467,552,459,527,436,355,443,492,233,475,251,211,174,152,357,477,267,227,345,159,154,194,113,59,144,114,109,63,93,104,36,32,38,39,37,35,33,3,2,34,99,127,123,40])).
% 1.80/1.85 cnf(606,plain,
% 1.80/1.85 (~P6(a19,f16(f2(a1),a1))),
% 1.80/1.85 inference(scs_inference,[],[53,149,56,48,46,54,45,49,43,554,455,341,504,524,592,549,215,216,396,476,467,552,459,527,436,355,443,492,233,475,251,211,174,152,357,477,267,227,345,159,154,194,113,59,144,114,109,63,93,104,36,32,38,39,37,35,33,3,2,34,99,127,123,40,102])).
% 1.80/1.85 cnf(611,plain,
% 1.80/1.85 (P1(x6111)+~P6(x6111,a19)),
% 1.80/1.85 inference(scs_inference,[],[53,149,56,48,46,54,45,49,43,554,455,341,504,524,592,549,215,216,396,476,467,552,459,527,436,355,443,492,233,475,251,211,174,152,357,477,267,227,345,159,154,194,113,59,144,114,109,63,93,104,36,32,38,39,37,35,33,3,2,34,99,127,123,40,102,147,75])).
% 1.80/1.85 cnf(621,plain,
% 1.80/1.85 (~E(f21(f14(a1,a18)),f14(a1,a18))),
% 1.80/1.85 inference(scs_inference,[],[318,67])).
% 1.80/1.85 cnf(624,plain,
% 1.80/1.85 (P6(f12(a17,f5(a17)),a17)),
% 1.80/1.85 inference(scs_inference,[],[46,587,596,182,318,233,159,67,41,131])).
% 1.80/1.85 cnf(626,plain,
% 1.80/1.85 (P1(f12(a17,f5(a17)))),
% 1.80/1.85 inference(scs_inference,[],[46,587,596,182,318,233,159,67,41,131,75])).
% 1.80/1.85 cnf(628,plain,
% 1.80/1.85 (E(f16(f2(a1),a1),f16(f2(a1),f7(f21(a1))))),
% 1.80/1.85 inference(scs_inference,[],[46,587,605,596,182,318,524,233,152,357,154,159,67,41,131,75,144])).
% 1.80/1.85 cnf(630,plain,
% 1.80/1.85 (~P2(x6301,f16(f2(a1),a1))),
% 1.80/1.85 inference(rename_variables,[],[524])).
% 1.80/1.85 cnf(632,plain,
% 1.80/1.85 (P4(f12(a17,f5(a17)))),
% 1.80/1.85 inference(scs_inference,[],[46,587,605,596,182,318,524,233,152,357,154,159,67,41,131,75,144,84])).
% 1.80/1.85 cnf(634,plain,
% 1.80/1.85 (P2(f20(a19),a18)),
% 1.80/1.85 inference(scs_inference,[],[53,46,52,44,587,605,596,182,318,524,233,152,357,154,159,67,41,131,75,144,84,102])).
% 1.80/1.85 cnf(637,plain,
% 1.80/1.85 (~P2(x6371,f16(f2(a1),a1))),
% 1.80/1.85 inference(rename_variables,[],[524])).
% 1.80/1.85 cnf(639,plain,
% 1.80/1.85 (P8(a1,f7(f5(a19)))),
% 1.80/1.85 inference(scs_inference,[],[53,46,52,44,49,587,605,602,596,182,318,524,630,436,233,152,357,154,159,67,41,131,75,144,84,102,109,110])).
% 1.80/1.85 cnf(644,plain,
% 1.80/1.85 (~P2(x6441,f16(f2(a1),a1))),
% 1.80/1.85 inference(rename_variables,[],[524])).
% 1.80/1.85 cnf(646,plain,
% 1.80/1.85 (P6(a17,f2(a1))),
% 1.80/1.85 inference(scs_inference,[],[53,149,48,46,52,54,44,49,587,605,602,596,182,318,536,524,630,637,436,233,152,357,154,159,67,41,131,75,144,84,102,109,110,93,104,36])).
% 1.80/1.85 cnf(649,plain,
% 1.80/1.85 (~P2(f8(a19,a18),f16(f15(a19,f5(a18)),f5(a18)))),
% 1.80/1.85 inference(scs_inference,[],[53,149,48,46,52,54,44,49,587,605,438,602,449,596,182,347,318,536,524,630,637,436,233,235,152,267,357,154,159,67,41,131,75,144,84,102,109,110,93,104,36,32,37,33])).
% 1.80/1.85 cnf(655,plain,
% 1.80/1.85 (~P8(f21(f21(a1)),f21(f7(f21(a1))))),
% 1.80/1.85 inference(scs_inference,[],[53,150,149,48,46,52,54,44,49,217,587,478,593,605,438,545,602,449,596,182,347,318,536,524,630,637,436,263,233,235,152,267,357,154,159,67,41,131,75,144,84,102,109,110,93,104,36,32,37,33,3,38,35,39])).
% 1.80/1.85 cnf(657,plain,
% 1.80/1.85 (~P4(f15(f16(a18,a1),a1))),
% 1.80/1.85 inference(scs_inference,[],[53,150,149,48,46,52,54,44,49,156,217,587,478,593,605,438,545,602,449,596,243,182,347,318,536,524,630,637,436,263,233,235,152,160,267,357,154,159,67,41,131,75,144,84,102,109,110,93,104,36,32,37,33,3,38,35,39,2,34])).
% 1.80/1.85 cnf(658,plain,
% 1.80/1.85 (P6(a19,a19)),
% 1.80/1.85 inference(scs_inference,[],[53,150,149,48,46,52,54,44,45,49,156,217,587,478,593,605,438,545,602,449,596,243,182,347,318,536,524,630,637,436,263,233,235,152,160,267,357,154,159,67,41,131,75,144,84,102,109,110,93,104,36,32,37,33,3,38,35,39,2,34,64])).
% 1.80/1.85 cnf(660,plain,
% 1.80/1.85 (~P8(f21(f6(a18)),a1)),
% 1.80/1.85 inference(scs_inference,[],[53,150,149,48,46,52,54,44,45,49,156,217,587,478,593,605,438,545,602,449,596,243,182,347,318,322,536,524,630,637,436,263,233,235,152,160,267,357,154,159,67,41,131,75,144,84,102,109,110,93,104,36,32,37,33,3,38,35,39,2,34,64,88])).
% 1.80/1.85 cnf(662,plain,
% 1.80/1.85 (P2(f21(f14(a1,a18)),a18)),
% 1.80/1.86 inference(scs_inference,[],[53,150,149,48,46,52,54,44,45,49,156,217,587,478,593,605,438,545,602,449,596,243,182,347,318,322,536,524,630,637,436,263,233,235,152,160,267,357,154,159,67,41,131,75,144,84,102,109,110,93,104,36,32,37,33,3,38,35,39,2,34,64,88,79])).
% 1.80/1.86 cnf(667,plain,
% 1.80/1.86 (P8(f5(f12(a17,f5(a17))),f5(a17))),
% 1.80/1.86 inference(scs_inference,[],[53,150,149,48,46,52,54,44,45,49,156,217,587,478,593,605,438,545,602,449,596,243,182,347,318,322,536,524,630,637,644,436,263,233,235,152,160,267,357,154,159,67,41,131,75,144,84,102,109,110,93,104,36,32,37,33,3,38,35,39,2,34,64,88,79,132,97])).
% 1.80/1.86 cnf(669,plain,
% 1.80/1.86 (~E(a4,f20(a19))),
% 1.80/1.86 inference(scs_inference,[],[53,150,149,56,48,46,52,54,44,45,49,156,217,587,478,593,605,438,545,602,449,596,243,182,347,318,322,536,524,630,637,644,436,263,233,235,152,160,267,174,357,154,159,67,41,131,75,144,84,102,109,110,93,104,36,32,37,33,3,38,35,39,2,34,64,88,79,132,97,112])).
% 1.80/1.86 cnf(677,plain,
% 1.80/1.86 (~P5(f12(a17,f5(a17)))),
% 1.80/1.86 inference(scs_inference,[],[53,150,149,56,48,46,52,54,44,45,49,156,217,587,478,593,605,441,438,545,602,449,596,243,182,347,318,322,536,524,630,637,644,436,263,233,235,152,160,267,174,357,176,226,154,159,67,41,131,75,144,84,102,109,110,93,104,36,32,37,33,3,38,35,39,2,34,64,88,79,132,97,112,121,120,119,63])).
% 1.80/1.86 cnf(679,plain,
% 1.80/1.86 (~P8(f13(a19,a4),a4)),
% 1.80/1.86 inference(scs_inference,[],[53,150,149,56,48,46,52,54,44,45,49,156,217,587,478,593,605,441,438,545,602,449,596,243,182,347,318,322,536,524,630,637,644,436,263,233,235,152,160,267,174,357,176,226,154,159,67,41,131,75,144,84,102,109,110,93,104,36,32,37,33,3,38,35,39,2,34,64,88,79,132,97,112,121,120,119,63,556])).
% 1.80/1.86 cnf(680,plain,
% 1.80/1.86 (P2(f13(a19,a4),a19)),
% 1.80/1.86 inference(scs_inference,[],[53,150,149,56,48,46,52,54,44,45,49,156,217,587,478,593,605,441,438,545,602,449,596,243,182,347,318,322,536,524,630,637,644,436,263,233,235,152,160,267,174,357,176,226,154,159,67,41,131,75,144,84,102,109,110,93,104,36,32,37,33,3,38,35,39,2,34,64,88,79,132,97,112,121,120,119,63,556,550])).
% 1.80/1.86 cnf(685,plain,
% 1.80/1.86 (P8(f14(a1,a18),f14(a1,a18))),
% 1.80/1.86 inference(scs_inference,[],[53,150,149,56,48,46,55,52,54,44,45,49,156,217,587,478,593,605,441,438,572,545,602,449,596,243,182,347,318,322,536,524,630,637,644,436,263,233,235,152,160,267,174,357,176,226,154,159,67,41,131,75,144,84,102,109,110,93,104,36,32,37,33,3,38,35,39,2,34,64,88,79,132,97,112,121,120,119,63,556,550,136,70,77])).
% 1.80/1.86 cnf(687,plain,
% 1.80/1.86 (P8(f20(a19),f20(a19))),
% 1.80/1.86 inference(scs_inference,[],[53,150,149,56,48,46,55,52,54,44,45,49,156,217,587,478,593,605,441,438,572,545,602,449,596,243,182,347,318,322,536,524,630,637,644,436,263,233,235,152,160,267,174,357,176,226,154,159,67,41,131,75,144,84,102,109,110,93,104,36,32,37,33,3,38,35,39,2,34,64,88,79,132,97,112,121,120,119,63,556,550,136,70,77,78])).
% 1.80/1.86 cnf(691,plain,
% 1.80/1.86 (P8(f14(a1,a18),f21(f14(a1,a18)))),
% 1.80/1.86 inference(scs_inference,[],[53,150,149,56,48,46,55,52,54,44,45,49,156,217,587,478,593,605,441,438,572,545,602,449,596,243,182,347,318,322,536,524,630,637,644,436,263,233,235,152,160,267,174,357,176,226,154,159,67,41,131,75,144,84,102,109,110,93,104,36,32,37,33,3,38,35,39,2,34,64,88,79,132,97,112,121,120,119,63,556,550,136,70,77,78,81,80])).
% 1.80/1.86 cnf(693,plain,
% 1.80/1.86 (P3(f5(a19))),
% 1.80/1.86 inference(scs_inference,[],[53,150,149,56,48,46,55,52,54,44,45,49,156,217,587,478,593,605,441,438,572,545,602,449,596,243,182,347,318,322,536,524,630,637,644,436,263,233,235,152,160,267,174,357,176,226,154,159,67,41,131,75,144,84,102,109,110,93,104,36,32,37,33,3,38,35,39,2,34,64,88,79,132,97,112,121,120,119,63,556,550,136,70,77,78,81,80,62])).
% 1.80/1.86 cnf(698,plain,
% 1.80/1.86 (E(f16(a17,x6981),f16(f2(a1),x6981))),
% 1.80/1.86 inference(scs_inference,[],[53,150,149,56,48,46,55,52,54,44,45,49,156,217,587,478,593,605,441,438,572,545,602,449,596,243,182,347,318,322,536,524,630,637,644,436,263,233,235,152,160,267,174,357,176,226,154,159,67,41,131,75,144,84,102,109,110,93,104,36,32,37,33,3,38,35,39,2,34,64,88,79,132,97,112,121,120,119,63,556,550,136,70,77,78,81,80,62,27,26,24,23])).
% 1.80/1.86 cnf(699,plain,
% 1.80/1.86 (E(f10(x6991,x6992,a17),f10(x6991,x6992,f2(a1)))),
% 1.80/1.86 inference(scs_inference,[],[53,150,149,56,48,46,55,52,54,44,45,49,156,217,587,478,593,605,441,438,572,545,602,449,596,243,182,347,318,322,536,524,630,637,644,436,263,233,235,152,160,267,174,357,176,226,154,159,67,41,131,75,144,84,102,109,110,93,104,36,32,37,33,3,38,35,39,2,34,64,88,79,132,97,112,121,120,119,63,556,550,136,70,77,78,81,80,62,27,26,24,23,22])).
% 1.80/1.86 cnf(700,plain,
% 1.80/1.86 (E(f10(x7001,a17,x7002),f10(x7001,f2(a1),x7002))),
% 1.80/1.86 inference(scs_inference,[],[53,150,149,56,48,46,55,52,54,44,45,49,156,217,587,478,593,605,441,438,572,545,602,449,596,243,182,347,318,322,536,524,630,637,644,436,263,233,235,152,160,267,174,357,176,226,154,159,67,41,131,75,144,84,102,109,110,93,104,36,32,37,33,3,38,35,39,2,34,64,88,79,132,97,112,121,120,119,63,556,550,136,70,77,78,81,80,62,27,26,24,23,22,21])).
% 1.80/1.86 cnf(702,plain,
% 1.80/1.86 (E(f12(a17,x7021),f12(f2(a1),x7021))),
% 1.80/1.86 inference(scs_inference,[],[53,150,149,56,48,46,55,52,54,44,45,49,156,217,587,478,593,605,441,438,572,545,602,449,596,243,182,347,318,322,536,524,630,637,644,436,263,233,235,152,160,267,174,357,176,226,154,159,67,41,131,75,144,84,102,109,110,93,104,36,32,37,33,3,38,35,39,2,34,64,88,79,132,97,112,121,120,119,63,556,550,136,70,77,78,81,80,62,27,26,24,23,22,21,17,16])).
% 1.80/1.86 cnf(705,plain,
% 1.80/1.86 (E(f9(x7051,x7052,a17),f9(x7051,x7052,f2(a1)))),
% 1.80/1.86 inference(scs_inference,[],[53,150,149,56,48,46,55,52,54,44,45,49,156,217,587,478,593,605,441,438,572,545,602,449,596,243,182,347,318,322,536,524,630,637,644,436,263,233,235,152,160,267,174,357,176,226,154,159,67,41,131,75,144,84,102,109,110,93,104,36,32,37,33,3,38,35,39,2,34,64,88,79,132,97,112,121,120,119,63,556,550,136,70,77,78,81,80,62,27,26,24,23,22,21,17,16,13,12,11])).
% 1.80/1.86 cnf(706,plain,
% 1.80/1.86 (E(f9(x7061,a17,x7062),f9(x7061,f2(a1),x7062))),
% 1.80/1.86 inference(scs_inference,[],[53,150,149,56,48,46,55,52,54,44,45,49,156,217,587,478,593,605,441,438,572,545,602,449,596,243,182,347,318,322,536,524,630,637,644,436,263,233,235,152,160,267,174,357,176,226,154,159,67,41,131,75,144,84,102,109,110,93,104,36,32,37,33,3,38,35,39,2,34,64,88,79,132,97,112,121,120,119,63,556,550,136,70,77,78,81,80,62,27,26,24,23,22,21,17,16,13,12,11,10])).
% 1.80/1.86 cnf(708,plain,
% 1.80/1.86 (E(f14(x7081,a17),f14(x7081,f2(a1)))),
% 1.80/1.86 inference(scs_inference,[],[53,150,149,56,48,46,55,52,54,44,45,49,156,217,587,478,593,605,441,438,572,545,602,449,596,243,182,347,318,322,536,524,630,637,644,436,263,233,235,152,160,267,174,357,176,226,154,159,67,41,131,75,144,84,102,109,110,93,104,36,32,37,33,3,38,35,39,2,34,64,88,79,132,97,112,121,120,119,63,556,550,136,70,77,78,81,80,62,27,26,24,23,22,21,17,16,13,12,11,10,9,7])).
% 1.80/1.86 cnf(720,plain,
% 1.80/1.86 (~P8(f21(f14(a1,a18)),f14(a1,a18))),
% 1.80/1.86 inference(scs_inference,[],[691,621,662,318,118])).
% 1.80/1.86 cnf(722,plain,
% 1.80/1.86 (P8(a1,f20(a19))),
% 1.80/1.86 inference(scs_inference,[],[691,621,634,662,318,118,71])).
% 1.80/1.86 cnf(726,plain,
% 1.80/1.86 (~E(f21(f20(a19)),a1)),
% 1.80/1.86 inference(scs_inference,[],[691,621,634,662,318,118,71,69,66])).
% 1.80/1.86 cnf(735,plain,
% 1.80/1.86 (E(f15(a17,x7351),f15(f2(a1),x7351))),
% 1.80/1.86 inference(scs_inference,[],[149,691,621,398,634,698,693,662,318,154,118,71,69,66,99,4,30,29,28,25])).
% 1.80/1.86 cnf(739,plain,
% 1.80/1.86 (E(f5(a17),f5(f2(a1)))),
% 1.80/1.86 inference(scs_inference,[],[149,691,621,398,634,698,693,662,318,154,118,71,69,66,99,4,30,29,28,25,20,19,18,15])).
% 1.80/1.86 cnf(743,plain,
% 1.80/1.86 (~P2(x7431,f2(a1))),
% 1.80/1.86 inference(rename_variables,[],[152])).
% 1.80/1.86 cnf(745,plain,
% 1.80/1.86 (P8(f5(a19),f5(a19))),
% 1.80/1.86 inference(scs_inference,[],[152,47,149,45,691,621,398,634,698,658,693,662,381,318,186,154,118,71,69,66,99,4,30,29,28,25,20,19,18,15,14,5,132,97])).
% 1.80/1.86 cnf(752,plain,
% 1.80/1.86 (P2(f11(a19,f13(a19,a4)),a19)),
% 1.80/1.86 inference(scs_inference,[],[152,55,52,47,149,45,49,390,691,621,398,634,698,680,658,693,662,679,381,318,51,186,154,118,71,69,66,99,4,30,29,28,25,20,19,18,15,14,5,132,97,8,125,103,121])).
% 1.80/1.86 cnf(756,plain,
% 1.80/1.86 (~P8(f21(a1),f7(f21(a1)))),
% 1.80/1.86 inference(scs_inference,[],[152,55,52,47,149,45,49,390,691,621,398,634,655,698,680,658,693,662,679,381,318,231,51,186,154,118,71,69,66,99,4,30,29,28,25,20,19,18,15,14,5,132,97,8,125,103,121,107,120])).
% 1.80/1.86 cnf(759,plain,
% 1.80/1.86 (~P2(x7591,f16(f2(a1),a1))),
% 1.80/1.86 inference(rename_variables,[],[524])).
% 1.80/1.86 cnf(761,plain,
% 1.80/1.86 (P8(f21(f14(a1,a18)),f21(f14(a1,a18)))),
% 1.80/1.86 inference(scs_inference,[],[152,55,52,47,149,45,49,390,691,621,398,634,655,698,680,658,693,662,679,381,524,318,231,357,51,186,154,118,71,69,66,99,4,30,29,28,25,20,19,18,15,14,5,132,97,8,125,103,121,107,120,109,110])).
% 1.80/1.86 cnf(766,plain,
% 1.80/1.86 (P2(f14(f21(a1),a17),a18)),
% 1.80/1.86 inference(scs_inference,[],[152,48,55,52,47,149,44,45,49,390,691,621,398,219,634,655,698,680,658,693,662,624,679,381,524,318,231,357,51,186,154,118,71,69,66,99,4,30,29,28,25,20,19,18,15,14,5,132,97,8,125,103,121,107,120,109,110,93,36,32])).
% 1.80/1.86 cnf(768,plain,
% 1.80/1.86 (~E(f2(f21(f21(a1))),f2(a1))),
% 1.80/1.86 inference(scs_inference,[],[152,743,48,55,52,47,149,44,45,49,390,691,621,398,219,634,655,698,680,658,693,662,624,679,381,502,524,318,231,357,51,186,154,118,71,69,66,99,4,30,29,28,25,20,19,18,15,14,5,132,97,8,125,103,121,107,120,109,110,93,36,32,33])).
% 1.80/1.86 cnf(769,plain,
% 1.80/1.86 (~P2(x7691,f2(a1))),
% 1.80/1.86 inference(rename_variables,[],[152])).
% 1.80/1.86 cnf(774,plain,
% 1.80/1.86 (E(f5(a19),f21(f5(f16(a19,a4))))),
% 1.80/1.86 inference(scs_inference,[],[150,152,743,48,55,52,47,149,44,45,49,677,390,691,621,398,219,634,655,698,597,680,658,693,662,624,660,679,570,381,502,524,318,231,357,51,186,154,118,71,69,66,99,4,30,29,28,25,20,19,18,15,14,5,132,97,8,125,103,121,107,120,109,110,93,36,32,33,3,38,37,39,2])).
% 1.80/1.86 cnf(775,plain,
% 1.80/1.86 (P6(f12(f2(a1),f5(a17)),a17)),
% 1.80/1.86 inference(scs_inference,[],[150,152,743,48,55,52,47,149,44,45,49,677,390,691,621,398,219,634,655,698,702,597,680,658,693,662,624,660,679,570,381,502,524,318,231,357,51,186,154,118,71,69,66,99,4,30,29,28,25,20,19,18,15,14,5,132,97,8,125,103,121,107,120,109,110,93,36,32,33,3,38,37,39,2,35])).
% 1.80/1.86 cnf(776,plain,
% 1.80/1.86 (E(f12(a17,x7761),f12(f2(a1),x7761))),
% 1.80/1.86 inference(rename_variables,[],[702])).
% 1.80/1.86 cnf(781,plain,
% 1.80/1.86 (~E(f2(a1),f16(a18,a1))),
% 1.80/1.86 inference(scs_inference,[],[150,152,743,769,48,55,52,47,149,44,45,49,677,632,390,691,621,398,219,634,655,698,702,776,597,680,658,693,662,624,660,679,570,381,502,524,239,349,318,231,357,51,227,186,154,118,71,69,66,99,4,30,29,28,25,20,19,18,15,14,5,132,97,8,125,103,121,107,120,109,110,93,36,32,33,3,38,37,39,2,35,34,126,117])).
% 1.80/1.86 cnf(782,plain,
% 1.80/1.86 (~P2(x7821,f2(a1))),
% 1.80/1.86 inference(rename_variables,[],[152])).
% 1.80/1.86 cnf(788,plain,
% 1.80/1.86 (~P2(x7881,f16(f2(a1),a1))),
% 1.80/1.86 inference(rename_variables,[],[524])).
% 1.80/1.86 cnf(790,plain,
% 1.80/1.86 (P6(f16(f2(a1),a1),f16(f2(a1),a1))),
% 1.80/1.86 inference(scs_inference,[],[150,152,743,769,782,48,55,52,47,149,44,45,49,677,632,390,691,621,398,219,634,655,698,702,776,597,680,658,693,662,624,660,679,570,381,502,524,759,788,239,349,318,231,357,51,227,186,154,118,71,69,66,99,4,30,29,28,25,20,19,18,15,14,5,132,97,8,125,103,121,107,120,109,110,93,36,32,33,3,38,37,39,2,35,34,126,117,115,102,104])).
% 1.80/1.86 cnf(810,plain,
% 1.80/1.86 (P3(f11(a19,f13(a19,a4)))),
% 1.80/1.86 inference(scs_inference,[],[47,45,745,752,349,127,76])).
% 1.80/1.86 cnf(812,plain,
% 1.80/1.86 (E(f15(f16(a19,f8(a17,a19)),f8(a17,a19)),a19)),
% 1.80/1.86 inference(scs_inference,[],[47,45,745,752,583,349,127,76,106])).
% 1.80/1.86 cnf(814,plain,
% 1.80/1.86 (P6(f12(a19,f5(a19)),a19)),
% 1.80/1.86 inference(scs_inference,[],[47,45,745,752,583,349,127,76,106,131])).
% 1.80/1.86 cnf(817,plain,
% 1.80/1.86 (~P2(x8171,f2(a1))),
% 1.80/1.86 inference(rename_variables,[],[152])).
% 1.80/1.86 cnf(819,plain,
% 1.80/1.86 (P2(f5(f12(a17,f5(a17))),a18)),
% 1.80/1.86 inference(scs_inference,[],[152,47,45,626,761,745,752,583,632,662,349,318,127,76,106,131,123,74])).
% 1.80/1.86 cnf(823,plain,
% 1.80/1.86 (P1(f16(f2(a1),f7(f21(a1))))),
% 1.80/1.86 inference(scs_inference,[],[152,47,45,44,453,626,628,761,745,752,583,632,662,375,349,318,357,127,76,106,131,123,74,132,31])).
% 1.80/1.86 cnf(825,plain,
% 1.80/1.86 (~P2(x8251,f2(a1))),
% 1.80/1.86 inference(rename_variables,[],[152])).
% 1.80/1.86 cnf(830,plain,
% 1.80/1.86 (~P2(f7(f21(a1)),f16(f15(f2(a1),f5(a18)),f5(a18)))),
% 1.80/1.86 inference(scs_inference,[],[152,817,47,45,44,49,453,626,628,761,768,745,752,583,172,632,164,370,377,662,375,349,318,345,357,127,76,106,131,123,74,132,31,115,4,120,107])).
% 1.80/1.86 cnf(833,plain,
% 1.80/1.86 (~P2(x8331,f2(a1))),
% 1.80/1.86 inference(rename_variables,[],[152])).
% 1.80/1.86 cnf(838,plain,
% 1.80/1.86 (~P2(x8381,f2(a1))),
% 1.80/1.86 inference(rename_variables,[],[152])).
% 1.80/1.86 cnf(843,plain,
% 1.80/1.86 (E(f16(a17,x8431),f16(f2(a1),x8431))),
% 1.80/1.86 inference(rename_variables,[],[698])).
% 1.80/1.86 cnf(846,plain,
% 1.80/1.86 (P8(f5(f12(a17,f5(a17))),f5(f2(a1)))),
% 1.80/1.86 inference(scs_inference,[],[152,817,825,833,48,47,45,44,49,453,626,628,761,768,774,667,739,756,745,606,752,583,172,632,698,164,502,370,377,662,229,375,349,605,231,318,345,357,186,154,127,76,106,131,123,74,132,31,115,4,120,107,102,110,109,93,36,32,38,39])).
% 1.80/1.86 cnf(852,plain,
% 1.80/1.86 (~E(a17,f15(f16(a18,a1),a1))),
% 1.80/1.86 inference(scs_inference,[],[152,817,825,833,48,46,47,45,44,49,790,453,626,600,649,579,628,761,768,774,667,657,739,756,745,606,752,583,172,269,632,698,843,164,502,370,377,662,229,375,349,605,231,318,345,357,186,154,127,76,106,131,123,74,132,31,115,4,120,107,102,110,109,93,36,32,38,39,3,33,37,2,35,34])).
% 1.80/1.86 cnf(855,plain,
% 1.80/1.86 (P2(f7(f21(a1)),f15(a17,a1))),
% 1.80/1.86 inference(scs_inference,[],[152,817,825,833,48,46,47,45,44,49,790,453,626,600,649,579,628,761,768,735,774,667,657,739,756,745,606,726,752,583,172,269,455,632,698,843,164,502,370,377,662,229,375,349,605,231,318,345,357,227,186,154,127,76,106,131,123,74,132,31,115,4,120,107,102,110,109,93,36,32,38,39,3,33,37,2,35,34,82,96])).
% 1.80/1.86 cnf(856,plain,
% 1.80/1.86 (E(f15(a17,x8561),f15(f2(a1),x8561))),
% 1.80/1.86 inference(rename_variables,[],[735])).
% 1.80/1.86 cnf(858,plain,
% 1.80/1.86 (P3(f9(a18,a1,f2(a1)))),
% 1.80/1.86 inference(scs_inference,[],[152,817,825,833,838,48,46,47,45,44,49,790,453,626,600,649,579,628,761,768,735,774,781,667,657,739,756,745,606,726,752,583,172,269,455,632,698,843,164,502,370,377,662,229,375,349,605,231,318,345,357,227,186,154,127,76,106,131,123,74,132,31,115,4,120,107,102,110,109,93,36,32,38,39,3,33,37,2,35,34,82,96,142])).
% 1.80/1.86 cnf(866,plain,
% 1.80/1.86 (P1(f12(a19,f5(a19)))),
% 1.80/1.86 inference(scs_inference,[],[152,817,825,833,838,56,48,46,47,45,44,49,790,453,626,600,649,579,628,761,768,735,856,774,781,667,657,739,756,745,606,726,752,583,172,269,455,632,698,843,164,502,370,377,662,634,229,375,174,349,605,231,318,345,357,227,186,154,127,76,106,131,123,74,132,31,115,4,120,107,102,110,109,93,36,32,38,39,3,33,37,2,35,34,82,96,142,85,130,611])).
% 1.80/1.86 cnf(885,plain,
% 1.80/1.86 (P8(f14(f21(a1),a17),f14(f21(a1),a17))),
% 1.80/1.86 inference(scs_inference,[],[48,45,44,810,819,766,237,92,106,76,77])).
% 1.80/1.86 cnf(893,plain,
% 1.80/1.86 (P2(f5(f2(a1)),a18)),
% 1.80/1.86 inference(scs_inference,[],[48,154,45,44,669,810,819,766,237,157,634,174,92,106,76,77,91,90,94,74])).
% 1.80/1.86 cnf(896,plain,
% 1.80/1.86 (~P2(x8961,f2(a1))),
% 1.80/1.86 inference(rename_variables,[],[152])).
% 1.80/1.86 cnf(913,plain,
% 1.80/1.86 (P6(f16(f2(a1),a1),f2(a1))),
% 1.80/1.86 inference(scs_inference,[],[152,896,48,154,45,44,49,669,400,699,823,830,855,810,819,484,766,237,476,735,157,698,203,524,634,174,231,357,92,106,76,77,91,90,94,74,144,84,85,4,31,120,102,109,104])).
% 1.80/1.86 cnf(916,plain,
% 1.80/1.86 (P6(f12(f2(a1),f5(a17)),f2(a1))),
% 1.80/1.86 inference(scs_inference,[],[152,896,48,154,149,45,44,49,669,400,699,823,830,855,810,819,775,484,766,237,476,735,157,698,203,524,634,174,231,357,92,106,76,77,91,90,94,74,144,84,85,4,31,120,102,109,104,36])).
% 1.80/1.86 cnf(917,plain,
% 1.80/1.86 (~P2(a1,f16(f15(f2(a1),f5(a18)),f5(a18)))),
% 1.80/1.86 inference(scs_inference,[],[152,896,48,154,149,45,44,49,669,400,699,823,830,855,810,819,775,484,766,237,476,735,596,157,698,203,524,634,174,231,357,92,106,76,77,91,90,94,74,144,84,85,4,31,120,102,109,104,36,32])).
% 1.80/1.86 cnf(919,plain,
% 1.80/1.86 (~E(f21(f21(a1)),f21(f7(f21(a1))))),
% 1.80/1.86 inference(scs_inference,[],[152,896,48,154,149,45,44,49,685,720,669,400,699,823,830,855,810,819,775,484,766,237,476,655,735,596,443,157,698,203,524,634,174,231,357,92,106,76,77,91,90,94,74,144,84,85,4,31,120,102,109,104,36,32,38,39])).
% 1.80/1.86 cnf(923,plain,
% 1.80/1.86 (E(f5(a19),f21(f7(f5(a19))))),
% 1.80/1.86 inference(scs_inference,[],[152,896,48,154,149,45,44,49,685,720,669,351,400,699,700,823,830,855,810,819,775,484,766,237,476,655,735,596,443,157,698,203,524,634,174,231,357,92,106,76,77,91,90,94,74,144,84,85,4,31,120,102,109,104,36,32,38,39,3,2])).
% 1.80/1.86 cnf(925,plain,
% 1.80/1.86 (~P5(f12(f2(a1),f5(a17)))),
% 1.80/1.86 inference(scs_inference,[],[152,896,48,154,149,45,44,49,685,720,669,351,400,699,700,210,823,830,855,810,819,812,775,484,766,237,677,476,655,735,596,443,157,698,203,524,328,634,174,231,357,92,106,76,77,91,90,94,74,144,84,85,4,31,120,102,109,104,36,32,38,39,3,2,33,37])).
% 1.80/1.86 cnf(976,plain,
% 1.80/1.86 (P4(f12(a19,f5(a19)))),
% 1.80/1.86 inference(scs_inference,[],[46,47,45,49,814,639,893,846,541,858,752,819,436,159,70,119,138,91,90,84])).
% 1.80/1.86 cnf(979,plain,
% 1.80/1.86 (P8(f21(f20(a19)),f21(f20(a19)))),
% 1.80/1.86 inference(scs_inference,[],[46,47,45,49,687,705,814,639,893,846,541,858,752,819,436,634,159,70,119,138,91,90,84,8,120])).
% 1.80/1.86 cnf(985,plain,
% 1.80/1.86 (~E(a18,f16(f2(a1),f9(a18,a1,f2(a1))))),
% 1.80/1.86 inference(scs_inference,[],[152,46,47,154,45,49,687,705,916,814,639,893,846,541,756,858,752,819,436,634,231,159,70,119,138,91,90,84,8,120,107,102,109])).
% 1.80/1.86 cnf(986,plain,
% 1.80/1.86 (~P2(x9861,f2(a1))),
% 1.80/1.86 inference(rename_variables,[],[152])).
% 1.80/1.86 cnf(988,plain,
% 1.80/1.86 (P2(f8(f2(a1),a19),a19)),
% 1.80/1.86 inference(scs_inference,[],[152,46,47,154,45,49,575,687,705,916,814,639,893,846,541,756,858,752,819,436,634,231,159,70,119,138,91,90,84,8,120,107,102,109,104])).
% 1.80/1.86 cnf(990,plain,
% 1.80/1.86 (P6(f16(f2(a1),a1),a17)),
% 1.80/1.86 inference(scs_inference,[],[152,46,47,154,45,43,49,575,687,705,913,916,814,639,893,846,541,756,858,752,819,436,634,231,159,70,119,138,91,90,84,8,120,107,102,109,104,36])).
% 1.80/1.86 cnf(1003,plain,
% 1.80/1.86 (~P8(f21(f21(f14(a1,a18))),f21(f14(a1,a18)))),
% 1.80/1.86 inference(scs_inference,[],[152,986,48,46,47,149,154,45,43,49,466,885,575,925,687,705,852,646,708,913,916,923,814,639,893,518,324,720,846,541,756,858,752,322,819,436,662,855,634,349,231,318,159,70,119,138,91,90,84,8,120,107,102,109,104,36,32,38,39,3,33,2,35,37,72,125])).
% 1.80/1.86 cnf(1053,plain,
% 1.80/1.86 (~P2(x10531,f2(a1))),
% 1.80/1.86 inference(rename_variables,[],[152])).
% 1.80/1.86 cnf(1077,plain,
% 1.80/1.86 (~P8(a4,f20(a19))),
% 1.80/1.86 inference(scs_inference,[],[152,1053,46,154,44,49,976,722,1003,706,919,979,988,990,985,917,866,484,324,660,320,662,858,174,634,693,176,226,159,78,62,27,24,21,11,9,105,103,135,97,125,144,119,63,84,8,107,102,120])).
% 1.80/1.86 cnf(1134,plain,
% 1.80/1.86 ($false),
% 1.80/1.86 inference(scs_inference,[],[1077,766,51,66,78]),
% 1.80/1.86 ['proof']).
% 1.80/1.86 % SZS output end Proof
% 1.80/1.86 % Total time :1.190000s
%------------------------------------------------------------------------------