TSTP Solution File: NUM545+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM545+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n014.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 0.95s 1.02s
% Output : CNFRefutation 0.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM545+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.15/0.34 % Computer : n014.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Fri Aug 25 17:41:17 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.93/0.99 %-------------------------------------------
% 0.93/0.99 % File :CSE---1.6
% 0.93/0.99 % Problem :theBenchmark
% 0.93/0.99 % Transform :cnf
% 0.93/0.99 % Format :tptp:raw
% 0.93/0.99 % Command :java -jar mcs_scs.jar %d %s
% 0.93/0.99
% 0.93/0.99 % Result :Theorem 0.350000s
% 0.93/0.99 % Output :CNFRefutation 0.350000s
% 0.93/0.99 %-------------------------------------------
% 0.93/1.00 %------------------------------------------------------------------------------
% 0.93/1.00 % File : NUM545+2 : TPTP v8.1.2. Released v4.0.0.
% 0.93/1.00 % Domain : Number Theory
% 0.93/1.00 % Problem : Ramsey's Infinite Theorem 11_02, 01 expansion
% 0.93/1.00 % Version : Especial.
% 0.93/1.00 % English :
% 0.93/1.00
% 0.93/1.00 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.93/1.00 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.93/1.00 % Source : [Pas08]
% 0.93/1.00 % Names : ramsey_11_02.01 [Pas08]
% 0.93/1.00
% 0.93/1.00 % Status : Theorem
% 0.93/1.00 % Rating : 0.17 v7.5.0, 0.19 v7.4.0, 0.07 v7.3.0, 0.10 v7.1.0, 0.13 v7.0.0, 0.10 v6.4.0, 0.12 v6.3.0, 0.17 v6.2.0, 0.28 v6.1.0, 0.33 v6.0.0, 0.26 v5.5.0, 0.41 v5.4.0, 0.46 v5.3.0, 0.48 v5.2.0, 0.35 v5.1.0, 0.43 v5.0.0, 0.54 v4.1.0, 0.61 v4.0.1, 0.74 v4.0.0
% 0.93/1.00 % Syntax : Number of formulae : 57 ( 3 unt; 7 def)
% 0.93/1.00 % Number of atoms : 227 ( 32 equ)
% 0.93/1.00 % Maximal formula atoms : 12 ( 3 avg)
% 0.93/1.00 % Number of connectives : 185 ( 15 ~; 5 |; 67 &)
% 0.93/1.00 % ( 17 <=>; 81 =>; 0 <=; 0 <~>)
% 0.93/1.00 % Maximal formula depth : 12 ( 5 avg)
% 0.93/1.00 % Maximal term depth : 4 ( 1 avg)
% 0.93/1.00 % Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% 0.93/1.00 % Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% 0.93/1.00 % Number of variables : 101 ( 96 !; 5 ?)
% 0.93/1.00 % SPC : FOF_THM_RFO_SEQ
% 0.93/1.00
% 0.93/1.00 % Comments : Problem generated by the SAD system [VLP07]
% 0.93/1.00 %------------------------------------------------------------------------------
% 0.93/1.00 fof(mSetSort,axiom,
% 0.93/1.00 ! [W0] :
% 0.93/1.00 ( aSet0(W0)
% 0.93/1.00 => $true ) ).
% 0.93/1.00
% 0.93/1.00 fof(mElmSort,axiom,
% 0.93/1.00 ! [W0] :
% 0.93/1.00 ( aElement0(W0)
% 0.93/1.00 => $true ) ).
% 0.93/1.00
% 0.93/1.00 fof(mEOfElem,axiom,
% 0.93/1.00 ! [W0] :
% 0.93/1.00 ( aSet0(W0)
% 0.93/1.00 => ! [W1] :
% 0.93/1.00 ( aElementOf0(W1,W0)
% 0.93/1.00 => aElement0(W1) ) ) ).
% 0.93/1.00
% 0.93/1.00 fof(mFinRel,axiom,
% 0.93/1.00 ! [W0] :
% 0.93/1.00 ( aSet0(W0)
% 0.93/1.00 => ( isFinite0(W0)
% 0.93/1.00 => $true ) ) ).
% 0.93/1.00
% 0.93/1.00 fof(mDefEmp,definition,
% 0.93/1.00 ! [W0] :
% 0.93/1.00 ( W0 = slcrc0
% 0.93/1.00 <=> ( aSet0(W0)
% 0.93/1.00 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ).
% 0.93/1.00
% 0.93/1.00 fof(mEmpFin,axiom,
% 0.93/1.00 isFinite0(slcrc0) ).
% 0.93/1.00
% 0.93/1.00 fof(mCntRel,axiom,
% 0.93/1.00 ! [W0] :
% 0.93/1.00 ( aSet0(W0)
% 0.93/1.00 => ( isCountable0(W0)
% 0.93/1.00 => $true ) ) ).
% 0.93/1.00
% 0.93/1.00 fof(mCountNFin,axiom,
% 0.93/1.00 ! [W0] :
% 0.93/1.00 ( ( aSet0(W0)
% 0.93/1.00 & isCountable0(W0) )
% 0.93/1.00 => ~ isFinite0(W0) ) ).
% 0.93/1.00
% 0.95/1.00 fof(mCountNFin_01,axiom,
% 0.95/1.00 ! [W0] :
% 0.95/1.00 ( ( aSet0(W0)
% 0.95/1.00 & isCountable0(W0) )
% 0.95/1.00 => W0 != slcrc0 ) ).
% 0.95/1.00
% 0.95/1.00 fof(mDefSub,definition,
% 0.95/1.00 ! [W0] :
% 0.95/1.00 ( aSet0(W0)
% 0.95/1.00 => ! [W1] :
% 0.95/1.00 ( aSubsetOf0(W1,W0)
% 0.95/1.00 <=> ( aSet0(W1)
% 0.95/1.00 & ! [W2] :
% 0.95/1.00 ( aElementOf0(W2,W1)
% 0.95/1.00 => aElementOf0(W2,W0) ) ) ) ) ).
% 0.95/1.00
% 0.95/1.00 fof(mSubFSet,axiom,
% 0.95/1.00 ! [W0] :
% 0.95/1.00 ( ( aSet0(W0)
% 0.95/1.00 & isFinite0(W0) )
% 0.95/1.00 => ! [W1] :
% 0.95/1.00 ( aSubsetOf0(W1,W0)
% 0.95/1.00 => isFinite0(W1) ) ) ).
% 0.95/1.00
% 0.95/1.00 fof(mSubRefl,axiom,
% 0.95/1.00 ! [W0] :
% 0.95/1.00 ( aSet0(W0)
% 0.95/1.00 => aSubsetOf0(W0,W0) ) ).
% 0.95/1.00
% 0.95/1.00 fof(mSubASymm,axiom,
% 0.95/1.00 ! [W0,W1] :
% 0.95/1.00 ( ( aSet0(W0)
% 0.95/1.00 & aSet0(W1) )
% 0.95/1.00 => ( ( aSubsetOf0(W0,W1)
% 0.95/1.00 & aSubsetOf0(W1,W0) )
% 0.95/1.00 => W0 = W1 ) ) ).
% 0.95/1.00
% 0.95/1.00 fof(mSubTrans,axiom,
% 0.95/1.00 ! [W0,W1,W2] :
% 0.95/1.00 ( ( aSet0(W0)
% 0.95/1.00 & aSet0(W1)
% 0.95/1.00 & aSet0(W2) )
% 0.95/1.00 => ( ( aSubsetOf0(W0,W1)
% 0.95/1.00 & aSubsetOf0(W1,W2) )
% 0.95/1.00 => aSubsetOf0(W0,W2) ) ) ).
% 0.95/1.00
% 0.95/1.00 fof(mDefCons,definition,
% 0.95/1.00 ! [W0,W1] :
% 0.95/1.00 ( ( aSet0(W0)
% 0.95/1.00 & aElement0(W1) )
% 0.95/1.00 => ! [W2] :
% 0.95/1.00 ( W2 = sdtpldt0(W0,W1)
% 0.95/1.00 <=> ( aSet0(W2)
% 0.95/1.00 & ! [W3] :
% 0.95/1.00 ( aElementOf0(W3,W2)
% 0.95/1.00 <=> ( aElement0(W3)
% 0.95/1.00 & ( aElementOf0(W3,W0)
% 0.95/1.00 | W3 = W1 ) ) ) ) ) ) ).
% 0.95/1.00
% 0.95/1.00 fof(mDefDiff,definition,
% 0.95/1.00 ! [W0,W1] :
% 0.95/1.00 ( ( aSet0(W0)
% 0.95/1.00 & aElement0(W1) )
% 0.95/1.00 => ! [W2] :
% 0.95/1.00 ( W2 = sdtmndt0(W0,W1)
% 0.95/1.00 <=> ( aSet0(W2)
% 0.95/1.00 & ! [W3] :
% 0.95/1.00 ( aElementOf0(W3,W2)
% 0.95/1.00 <=> ( aElement0(W3)
% 0.95/1.00 & aElementOf0(W3,W0)
% 0.95/1.00 & W3 != W1 ) ) ) ) ) ).
% 0.95/1.00
% 0.95/1.00 fof(mConsDiff,axiom,
% 0.95/1.00 ! [W0] :
% 0.95/1.00 ( aSet0(W0)
% 0.95/1.00 => ! [W1] :
% 0.95/1.00 ( aElementOf0(W1,W0)
% 0.95/1.00 => sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ) ).
% 0.95/1.00
% 0.95/1.00 fof(mDiffCons,axiom,
% 0.95/1.00 ! [W0,W1] :
% 0.95/1.00 ( ( aElement0(W0)
% 0.95/1.00 & aSet0(W1) )
% 0.95/1.00 => ( ~ aElementOf0(W0,W1)
% 0.95/1.00 => sdtmndt0(sdtpldt0(W1,W0),W0) = W1 ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mCConsSet,axiom,
% 0.95/1.01 ! [W0] :
% 0.95/1.01 ( aElement0(W0)
% 0.95/1.01 => ! [W1] :
% 0.95/1.01 ( ( aSet0(W1)
% 0.95/1.01 & isCountable0(W1) )
% 0.95/1.01 => isCountable0(sdtpldt0(W1,W0)) ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mCDiffSet,axiom,
% 0.95/1.01 ! [W0] :
% 0.95/1.01 ( aElement0(W0)
% 0.95/1.01 => ! [W1] :
% 0.95/1.01 ( ( aSet0(W1)
% 0.95/1.01 & isCountable0(W1) )
% 0.95/1.01 => isCountable0(sdtmndt0(W1,W0)) ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mFConsSet,axiom,
% 0.95/1.01 ! [W0] :
% 0.95/1.01 ( aElement0(W0)
% 0.95/1.01 => ! [W1] :
% 0.95/1.01 ( ( aSet0(W1)
% 0.95/1.01 & isFinite0(W1) )
% 0.95/1.01 => isFinite0(sdtpldt0(W1,W0)) ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mFDiffSet,axiom,
% 0.95/1.01 ! [W0] :
% 0.95/1.01 ( aElement0(W0)
% 0.95/1.01 => ! [W1] :
% 0.95/1.01 ( ( aSet0(W1)
% 0.95/1.01 & isFinite0(W1) )
% 0.95/1.01 => isFinite0(sdtmndt0(W1,W0)) ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mNATSet,axiom,
% 0.95/1.01 ( aSet0(szNzAzT0)
% 0.95/1.01 & isCountable0(szNzAzT0) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mZeroNum,axiom,
% 0.95/1.01 aElementOf0(sz00,szNzAzT0) ).
% 0.95/1.01
% 0.95/1.01 fof(mSuccNum,axiom,
% 0.95/1.01 ! [W0] :
% 0.95/1.01 ( aElementOf0(W0,szNzAzT0)
% 0.95/1.01 => ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
% 0.95/1.01 & szszuzczcdt0(W0) != sz00 ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mSuccEquSucc,axiom,
% 0.95/1.01 ! [W0,W1] :
% 0.95/1.01 ( ( aElementOf0(W0,szNzAzT0)
% 0.95/1.01 & aElementOf0(W1,szNzAzT0) )
% 0.95/1.01 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 0.95/1.01 => W0 = W1 ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mNatExtra,axiom,
% 0.95/1.01 ! [W0] :
% 0.95/1.01 ( aElementOf0(W0,szNzAzT0)
% 0.95/1.01 => ( W0 = sz00
% 0.95/1.01 | ? [W1] :
% 0.95/1.01 ( aElementOf0(W1,szNzAzT0)
% 0.95/1.01 & W0 = szszuzczcdt0(W1) ) ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mNatNSucc,axiom,
% 0.95/1.01 ! [W0] :
% 0.95/1.01 ( aElementOf0(W0,szNzAzT0)
% 0.95/1.01 => W0 != szszuzczcdt0(W0) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mLessRel,axiom,
% 0.95/1.01 ! [W0,W1] :
% 0.95/1.01 ( ( aElementOf0(W0,szNzAzT0)
% 0.95/1.01 & aElementOf0(W1,szNzAzT0) )
% 0.95/1.01 => ( sdtlseqdt0(W0,W1)
% 0.95/1.01 => $true ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mZeroLess,axiom,
% 0.95/1.01 ! [W0] :
% 0.95/1.01 ( aElementOf0(W0,szNzAzT0)
% 0.95/1.01 => sdtlseqdt0(sz00,W0) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mNoScLessZr,axiom,
% 0.95/1.01 ! [W0] :
% 0.95/1.01 ( aElementOf0(W0,szNzAzT0)
% 0.95/1.01 => ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mSuccLess,axiom,
% 0.95/1.01 ! [W0,W1] :
% 0.95/1.01 ( ( aElementOf0(W0,szNzAzT0)
% 0.95/1.01 & aElementOf0(W1,szNzAzT0) )
% 0.95/1.01 => ( sdtlseqdt0(W0,W1)
% 0.95/1.01 <=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mLessSucc,axiom,
% 0.95/1.01 ! [W0] :
% 0.95/1.01 ( aElementOf0(W0,szNzAzT0)
% 0.95/1.01 => sdtlseqdt0(W0,szszuzczcdt0(W0)) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mLessRefl,axiom,
% 0.95/1.01 ! [W0] :
% 0.95/1.01 ( aElementOf0(W0,szNzAzT0)
% 0.95/1.01 => sdtlseqdt0(W0,W0) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mLessASymm,axiom,
% 0.95/1.01 ! [W0,W1] :
% 0.95/1.01 ( ( aElementOf0(W0,szNzAzT0)
% 0.95/1.01 & aElementOf0(W1,szNzAzT0) )
% 0.95/1.01 => ( ( sdtlseqdt0(W0,W1)
% 0.95/1.01 & sdtlseqdt0(W1,W0) )
% 0.95/1.01 => W0 = W1 ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mLessTrans,axiom,
% 0.95/1.01 ! [W0,W1,W2] :
% 0.95/1.01 ( ( aElementOf0(W0,szNzAzT0)
% 0.95/1.01 & aElementOf0(W1,szNzAzT0)
% 0.95/1.01 & aElementOf0(W2,szNzAzT0) )
% 0.95/1.01 => ( ( sdtlseqdt0(W0,W1)
% 0.95/1.01 & sdtlseqdt0(W1,W2) )
% 0.95/1.01 => sdtlseqdt0(W0,W2) ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mLessTotal,axiom,
% 0.95/1.01 ! [W0,W1] :
% 0.95/1.01 ( ( aElementOf0(W0,szNzAzT0)
% 0.95/1.01 & aElementOf0(W1,szNzAzT0) )
% 0.95/1.01 => ( sdtlseqdt0(W0,W1)
% 0.95/1.01 | sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mIHSort,axiom,
% 0.95/1.01 ! [W0,W1] :
% 0.95/1.01 ( ( aElementOf0(W0,szNzAzT0)
% 0.95/1.01 & aElementOf0(W1,szNzAzT0) )
% 0.95/1.01 => ( iLess0(W0,W1)
% 0.95/1.01 => $true ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mIH,axiom,
% 0.95/1.01 ! [W0] :
% 0.95/1.01 ( aElementOf0(W0,szNzAzT0)
% 0.95/1.01 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mCardS,axiom,
% 0.95/1.01 ! [W0] :
% 0.95/1.01 ( aSet0(W0)
% 0.95/1.01 => aElement0(sbrdtbr0(W0)) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mCardNum,axiom,
% 0.95/1.01 ! [W0] :
% 0.95/1.01 ( aSet0(W0)
% 0.95/1.01 => ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
% 0.95/1.01 <=> isFinite0(W0) ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mCardEmpty,axiom,
% 0.95/1.01 ! [W0] :
% 0.95/1.01 ( aSet0(W0)
% 0.95/1.01 => ( sbrdtbr0(W0) = sz00
% 0.95/1.01 <=> W0 = slcrc0 ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mCardCons,axiom,
% 0.95/1.01 ! [W0] :
% 0.95/1.01 ( ( aSet0(W0)
% 0.95/1.01 & isFinite0(W0) )
% 0.95/1.01 => ! [W1] :
% 0.95/1.01 ( aElement0(W1)
% 0.95/1.01 => ( ~ aElementOf0(W1,W0)
% 0.95/1.01 => sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mCardDiff,axiom,
% 0.95/1.01 ! [W0] :
% 0.95/1.01 ( aSet0(W0)
% 0.95/1.01 => ! [W1] :
% 0.95/1.01 ( ( isFinite0(W0)
% 0.95/1.01 & aElementOf0(W1,W0) )
% 0.95/1.01 => szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mCardSub,axiom,
% 0.95/1.01 ! [W0] :
% 0.95/1.01 ( aSet0(W0)
% 0.95/1.01 => ! [W1] :
% 0.95/1.01 ( ( isFinite0(W0)
% 0.95/1.01 & aSubsetOf0(W1,W0) )
% 0.95/1.01 => sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mCardSubEx,axiom,
% 0.95/1.01 ! [W0,W1] :
% 0.95/1.01 ( ( aSet0(W0)
% 0.95/1.01 & aElementOf0(W1,szNzAzT0) )
% 0.95/1.01 => ( ( isFinite0(W0)
% 0.95/1.01 & sdtlseqdt0(W1,sbrdtbr0(W0)) )
% 0.95/1.01 => ? [W2] :
% 0.95/1.01 ( aSubsetOf0(W2,W0)
% 0.95/1.01 & sbrdtbr0(W2) = W1 ) ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mDefMin,definition,
% 0.95/1.01 ! [W0] :
% 0.95/1.01 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.95/1.01 & W0 != slcrc0 )
% 0.95/1.01 => ! [W1] :
% 0.95/1.01 ( W1 = szmzizndt0(W0)
% 0.95/1.01 <=> ( aElementOf0(W1,W0)
% 0.95/1.01 & ! [W2] :
% 0.95/1.01 ( aElementOf0(W2,W0)
% 0.95/1.01 => sdtlseqdt0(W1,W2) ) ) ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mDefMax,definition,
% 0.95/1.01 ! [W0] :
% 0.95/1.01 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.95/1.01 & isFinite0(W0)
% 0.95/1.01 & W0 != slcrc0 )
% 0.95/1.01 => ! [W1] :
% 0.95/1.01 ( W1 = szmzazxdt0(W0)
% 0.95/1.01 <=> ( aElementOf0(W1,W0)
% 0.95/1.01 & ! [W2] :
% 0.95/1.01 ( aElementOf0(W2,W0)
% 0.95/1.01 => sdtlseqdt0(W2,W1) ) ) ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mMinMin,axiom,
% 0.95/1.01 ! [W0,W1] :
% 0.95/1.01 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.95/1.01 & aSubsetOf0(W1,szNzAzT0)
% 0.95/1.01 & W0 != slcrc0
% 0.95/1.01 & W1 != slcrc0 )
% 0.95/1.01 => ( ( aElementOf0(szmzizndt0(W0),W1)
% 0.95/1.01 & aElementOf0(szmzizndt0(W1),W0) )
% 0.95/1.01 => szmzizndt0(W0) = szmzizndt0(W1) ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mDefSeg,definition,
% 0.95/1.01 ! [W0] :
% 0.95/1.01 ( aElementOf0(W0,szNzAzT0)
% 0.95/1.01 => ! [W1] :
% 0.95/1.01 ( W1 = slbdtrb0(W0)
% 0.95/1.01 <=> ( aSet0(W1)
% 0.95/1.01 & ! [W2] :
% 0.95/1.01 ( aElementOf0(W2,W1)
% 0.95/1.01 <=> ( aElementOf0(W2,szNzAzT0)
% 0.95/1.01 & sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mSegFin,axiom,
% 0.95/1.01 ! [W0] :
% 0.95/1.01 ( aElementOf0(W0,szNzAzT0)
% 0.95/1.01 => isFinite0(slbdtrb0(W0)) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mSegZero,axiom,
% 0.95/1.01 slbdtrb0(sz00) = slcrc0 ).
% 0.95/1.01
% 0.95/1.01 fof(mSegSucc,axiom,
% 0.95/1.01 ! [W0,W1] :
% 0.95/1.01 ( ( aElementOf0(W0,szNzAzT0)
% 0.95/1.01 & aElementOf0(W1,szNzAzT0) )
% 0.95/1.01 => ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1)))
% 0.95/1.01 <=> ( aElementOf0(W0,slbdtrb0(W1))
% 0.95/1.01 | W0 = W1 ) ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(mSegLess,axiom,
% 0.95/1.01 ! [W0,W1] :
% 0.95/1.01 ( ( aElementOf0(W0,szNzAzT0)
% 0.95/1.01 & aElementOf0(W1,szNzAzT0) )
% 0.95/1.01 => ( sdtlseqdt0(W0,W1)
% 0.95/1.01 <=> aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)) ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(m__1986,hypothesis,
% 0.95/1.01 ( aSet0(xS)
% 0.95/1.01 & ! [W0] :
% 0.95/1.01 ( aElementOf0(W0,xS)
% 0.95/1.01 => aElementOf0(W0,szNzAzT0) )
% 0.95/1.01 & aSubsetOf0(xS,szNzAzT0)
% 0.95/1.01 & isFinite0(xS) ) ).
% 0.95/1.01
% 0.95/1.01 fof(m__2035,hypothesis,
% 0.95/1.01 ( ~ ( ~ ? [W0] : aElementOf0(W0,xS)
% 0.95/1.01 & xS = slcrc0 )
% 0.95/1.01 => ( aElementOf0(szmzazxdt0(xS),xS)
% 0.95/1.01 & ! [W0] :
% 0.95/1.01 ( aElementOf0(W0,xS)
% 0.95/1.01 => sdtlseqdt0(W0,szmzazxdt0(xS)) )
% 0.95/1.01 & aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
% 0.95/1.01 & ! [W0] :
% 0.95/1.01 ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
% 0.95/1.01 <=> ( aElementOf0(W0,szNzAzT0)
% 0.95/1.01 & sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(szmzazxdt0(xS))) ) )
% 0.95/1.01 & ! [W0] :
% 0.95/1.01 ( aElementOf0(W0,xS)
% 0.95/1.01 => aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
% 0.95/1.01 & aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ) ).
% 0.95/1.01
% 0.95/1.01 fof(m__,conjecture,
% 0.95/1.01 ? [W0] :
% 0.95/1.01 ( aElementOf0(W0,szNzAzT0)
% 0.95/1.02 & ( ( aSet0(slbdtrb0(W0))
% 0.95/1.02 & ! [W1] :
% 0.95/1.02 ( aElementOf0(W1,slbdtrb0(W0))
% 0.95/1.02 <=> ( aElementOf0(W1,szNzAzT0)
% 0.95/1.02 & sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) )
% 0.95/1.02 => ( ! [W1] :
% 0.95/1.02 ( aElementOf0(W1,xS)
% 0.95/1.02 => aElementOf0(W1,slbdtrb0(W0)) )
% 0.95/1.02 | aSubsetOf0(xS,slbdtrb0(W0)) ) ) ) ).
% 0.95/1.02
% 0.95/1.02 %------------------------------------------------------------------------------
% 0.95/1.02 %-------------------------------------------
% 0.95/1.02 % Proof found
% 0.95/1.02 % SZS status Theorem for theBenchmark
% 0.95/1.02 % SZS output start Proof
% 0.95/1.02 %ClaNum:161(EqnAxiom:43)
% 0.95/1.02 %VarNum:659(SingletonVarNum:212)
% 0.95/1.02 %MaxLitNum:8
% 0.95/1.02 %MaxfuncDepth:3
% 0.95/1.02 %SharedTerms:20
% 0.95/1.02 %goalClause: 64 78 88 99 105 115 132
% 0.95/1.02 [45]P1(a17)
% 0.95/1.02 [46]P1(a18)
% 0.95/1.02 [47]P4(a16)
% 0.95/1.02 [48]P4(a18)
% 0.95/1.02 [49]P5(a17)
% 0.95/1.02 [50]P2(a1,a17)
% 0.95/1.02 [51]P6(a18,a17)
% 0.95/1.02 [44]E(f2(a1),a16)
% 0.95/1.02 [55]E(a18,a16)+P2(f19(a18),a18)
% 0.95/1.02 [74]E(a18,a16)+P1(f2(f20(f19(a18))))
% 0.95/1.02 [86]E(a18,a16)+P6(a18,f2(f20(f19(a18))))
% 0.95/1.02 [52]P1(x521)+~E(x521,a16)
% 0.95/1.02 [59]~P1(x591)+P6(x591,x591)
% 0.95/1.02 [66]~P2(x661,a18)+P2(x661,a17)
% 0.95/1.02 [67]~P2(x671,a17)+P8(a1,x671)
% 0.95/1.02 [73]P8(x731,x731)+~P2(x731,a17)
% 0.95/1.02 [57]~P1(x571)+P3(f3(x571))
% 0.95/1.02 [61]~P2(x611,a17)+~E(f20(x611),a1)
% 0.95/1.02 [62]~P2(x621,a17)+~E(f20(x621),x621)
% 0.95/1.02 [64]~P2(x641,a17)+P1(f2(x641))
% 0.95/1.02 [65]~P2(x651,a17)+P4(f2(x651))
% 0.95/1.02 [75]~P2(x751,a18)+P2(f19(a18),a18)
% 0.95/1.02 [77]~P2(x771,a17)+P2(f20(x771),a17)
% 0.95/1.02 [78]~P2(x781,a17)+P2(f5(x781),a18)
% 0.95/1.02 [79]~P2(x791,a17)+P8(x791,f20(x791))
% 0.95/1.02 [80]~P2(x801,a17)+P7(x801,f20(x801))
% 0.95/1.02 [88]~P2(x881,a17)+~P6(a18,f2(x881))
% 0.95/1.02 [89]~P2(x891,a17)+~P8(f20(x891),a1)
% 0.95/1.02 [99]~P2(f5(x991),f2(x991))+~P2(x991,a17)
% 0.95/1.02 [95]~P2(x951,a18)+P1(f2(f20(f19(a18))))
% 0.95/1.02 [101]~P2(x1011,a18)+P6(a18,f2(f20(f19(a18))))
% 0.95/1.02 [60]~P2(x602,x601)+~E(x601,a16)
% 0.95/1.02 [56]~P1(x561)+~P5(x561)+~E(x561,a16)
% 0.95/1.02 [58]~P4(x581)+~P5(x581)+~P1(x581)
% 0.95/1.02 [53]~P1(x531)+~E(x531,a16)+E(f3(x531),a1)
% 0.95/1.02 [54]~P1(x541)+E(x541,a16)+~E(f3(x541),a1)
% 0.95/1.02 [63]~P1(x631)+P2(f4(x631),x631)+E(x631,a16)
% 0.95/1.02 [70]~P1(x701)+~P4(x701)+P2(f3(x701),a17)
% 0.95/1.02 [81]~P2(x811,a17)+E(x811,a1)+P2(f6(x811),a17)
% 0.95/1.02 [82]~P1(x821)+P4(x821)+~P2(f3(x821),a17)
% 0.95/1.02 [68]~P2(x681,a17)+E(x681,a1)+E(f20(f6(x681)),x681)
% 0.95/1.02 [124]E(a18,a16)+P2(x1241,a17)+~P2(x1241,f2(f20(f19(a18))))
% 0.95/1.02 [140]E(a18,a16)+P8(f20(x1401),f20(f19(a18)))+~P2(x1401,f2(f20(f19(a18))))
% 0.95/1.02 [71]~P6(x711,x712)+P1(x711)+~P1(x712)
% 0.95/1.02 [72]~P2(x721,x722)+P3(x721)+~P1(x722)
% 0.95/1.02 [69]P1(x691)+~P2(x692,a17)+~E(x691,f2(x692))
% 0.95/1.02 [97]~P2(x971,a18)+~P2(x972,a18)+P8(x971,f19(a18))
% 0.95/1.02 [105]~P2(x1051,f2(x1052))+P2(x1051,a17)+~P2(x1052,a17)
% 0.95/1.02 [115]~P2(x1152,a17)+~P2(x1151,f2(x1152))+P8(f20(x1151),x1152)
% 0.95/1.02 [113]~P1(x1131)+~P2(x1132,x1131)+E(f14(f15(x1131,x1132),x1132),x1131)
% 0.95/1.02 [126]~P2(x1261,a18)+~P2(x1262,a18)+P2(x1261,f2(f20(f19(a18))))
% 0.95/1.02 [139]P2(x1391,a17)+~P2(x1392,a18)+~P2(x1391,f2(f20(f19(a18))))
% 0.95/1.02 [150]~P2(x1502,a18)+P8(f20(x1501),f20(f19(a18)))+~P2(x1501,f2(f20(f19(a18))))
% 0.95/1.02 [147]E(a18,a16)+~P2(x1471,a17)+~P8(f20(x1471),f20(f19(a18)))+P2(x1471,f2(f20(f19(a18))))
% 0.95/1.02 [83]~P4(x832)+~P6(x831,x832)+P4(x831)+~P1(x832)
% 0.95/1.02 [87]P2(x872,x871)+~E(x872,f21(x871))+~P6(x871,a17)+E(x871,a16)
% 0.95/1.02 [91]~P1(x911)+~P3(x912)+~P4(x911)+P4(f14(x911,x912))
% 0.95/1.02 [92]~P1(x921)+~P3(x922)+~P4(x921)+P4(f15(x921,x922))
% 0.95/1.02 [93]~P1(x931)+~P3(x932)+~P5(x931)+P5(f14(x931,x932))
% 0.95/1.02 [94]~P1(x941)+~P3(x942)+~P5(x941)+P5(f15(x941,x942))
% 0.95/1.02 [96]E(x961,x962)+~E(f20(x961),f20(x962))+~P2(x962,a17)+~P2(x961,a17)
% 0.95/1.02 [102]~P1(x1022)+~P4(x1022)+~P6(x1021,x1022)+P8(f3(x1021),f3(x1022))
% 0.95/1.02 [111]~P1(x1111)+~P1(x1112)+P6(x1111,x1112)+P2(f7(x1112,x1111),x1111)
% 0.95/1.02 [118]P8(x1181,x1182)+P8(f20(x1182),x1181)+~P2(x1182,a17)+~P2(x1181,a17)
% 0.95/1.02 [128]~P8(x1281,x1282)+~P2(x1282,a17)+~P2(x1281,a17)+P6(f2(x1281),f2(x1282))
% 0.95/1.02 [129]~P8(x1291,x1292)+~P2(x1292,a17)+~P2(x1291,a17)+P8(f20(x1291),f20(x1292))
% 0.95/1.02 [131]~P1(x1311)+~P1(x1312)+P6(x1311,x1312)+~P2(f7(x1312,x1311),x1312)
% 0.95/1.02 [132]~P2(x1322,a17)+~P2(x1321,a17)+~P8(f20(x1321),x1322)+P2(x1321,f2(x1322))
% 0.95/1.02 [134]P8(x1341,x1342)+~P2(x1342,a17)+~P2(x1341,a17)+~P6(f2(x1341),f2(x1342))
% 0.95/1.02 [135]P8(x1351,x1352)+~P2(x1352,a17)+~P2(x1351,a17)+~P8(f20(x1351),f20(x1352))
% 0.95/1.02 [112]P2(x1122,x1121)+~P1(x1121)+~P3(x1122)+E(f15(f14(x1121,x1122),x1122),x1121)
% 0.95/1.02 [120]~E(x1201,x1202)+~P2(x1202,a17)+~P2(x1201,a17)+P2(x1201,f2(f20(x1202)))
% 0.95/1.02 [141]~P2(x1412,a17)+~P2(x1411,a17)+~P2(x1411,f2(x1412))+P2(x1411,f2(f20(x1412)))
% 0.95/1.02 [138]~P1(x1381)+~P4(x1381)+~P2(x1382,x1381)+E(f20(f3(f15(x1381,x1382))),f3(x1381))
% 0.95/1.02 [151]~P2(x1511,a17)+~P2(x1512,a18)+~P8(f20(x1511),f20(f19(a18)))+P2(x1511,f2(f20(f19(a18))))
% 0.95/1.02 [109]~P1(x1092)+~P6(x1093,x1092)+P2(x1091,x1092)+~P2(x1091,x1093)
% 0.95/1.02 [84]~P1(x842)+~P3(x843)+P1(x841)+~E(x841,f14(x842,x843))
% 0.95/1.02 [85]~P1(x852)+~P3(x853)+P1(x851)+~E(x851,f15(x852,x853))
% 0.95/1.02 [103]~P2(x1031,x1032)+~P2(x1033,a17)+P2(x1031,a17)+~E(x1032,f2(x1033))
% 0.95/1.02 [114]~P2(x1141,x1143)+~P2(x1142,a17)+P8(f20(x1141),x1142)+~E(x1143,f2(x1142))
% 0.95/1.02 [98]~P1(x982)+~P1(x981)+~P6(x982,x981)+~P6(x981,x982)+E(x981,x982)
% 0.95/1.02 [127]~P8(x1272,x1271)+~P8(x1271,x1272)+E(x1271,x1272)+~P2(x1272,a17)+~P2(x1271,a17)
% 0.95/1.02 [90]~P4(x901)+P2(x902,x901)+~E(x902,f19(x901))+~P6(x901,a17)+E(x901,a16)
% 0.95/1.02 [130]~P2(x1302,x1301)+P2(f10(x1301,x1302),x1301)+~P6(x1301,a17)+E(x1301,a16)+E(x1302,f21(x1301))
% 0.95/1.02 [142]~P1(x1421)+~P4(x1421)+~P2(x1422,a17)+~P8(x1422,f3(x1421))+P6(f11(x1421,x1422),x1421)
% 0.99/1.02 [143]~P1(x1431)+P2(f13(x1432,x1431),x1431)+~P2(x1432,a17)+E(x1431,f2(x1432))+P2(f13(x1432,x1431),a17)
% 0.99/1.02 [144]~P2(x1442,x1441)+~P6(x1441,a17)+~P8(x1442,f10(x1441,x1442))+E(x1441,a16)+E(x1442,f21(x1441))
% 0.99/1.02 [119]P2(x1192,x1191)+~P1(x1191)+~P3(x1192)+~P4(x1191)+E(f3(f14(x1191,x1192)),f20(f3(x1191)))
% 0.99/1.02 [137]~P1(x1371)+~P4(x1371)+~P2(x1372,a17)+~P8(x1372,f3(x1371))+E(f3(f11(x1371,x1372)),x1372)
% 0.99/1.02 [145]E(x1451,x1452)+P2(x1451,f2(x1452))+~P2(x1452,a17)+~P2(x1451,a17)+~P2(x1451,f2(f20(x1452)))
% 0.99/1.02 [152]~P1(x1521)+P2(f13(x1522,x1521),x1521)+~P2(x1522,a17)+E(x1521,f2(x1522))+P8(f20(f13(x1522,x1521)),x1522)
% 0.99/1.02 [110]~P2(x1103,x1101)+P8(x1102,x1103)+~E(x1102,f21(x1101))+~P6(x1101,a17)+E(x1101,a16)
% 0.99/1.02 [133]P2(x1331,x1332)+~P2(x1333,a17)+~P2(x1331,a17)+~P8(f20(x1331),x1333)+~E(x1332,f2(x1333))
% 0.99/1.02 [104]~P1(x1044)+~P3(x1042)+~P2(x1041,x1043)+~E(x1041,x1042)+~E(x1043,f15(x1044,x1042))
% 0.99/1.02 [106]~P1(x1063)+~P3(x1064)+~P2(x1061,x1062)+P3(x1061)+~E(x1062,f14(x1063,x1064))
% 0.99/1.02 [107]~P1(x1073)+~P3(x1074)+~P2(x1071,x1072)+P3(x1071)+~E(x1072,f15(x1073,x1074))
% 0.99/1.02 [117]~P1(x1172)+~P3(x1174)+~P2(x1171,x1173)+P2(x1171,x1172)+~E(x1173,f15(x1172,x1174))
% 0.99/1.02 [136]~P4(x1361)+~P2(x1362,x1361)+P2(f12(x1361,x1362),x1361)+~P6(x1361,a17)+E(x1361,a16)+E(x1362,f19(x1361))
% 0.99/1.02 [148]~P4(x1481)+~P2(x1482,x1481)+~P6(x1481,a17)+~P8(f12(x1481,x1482),x1482)+E(x1481,a16)+E(x1482,f19(x1481))
% 0.99/1.02 [156]~P1(x1561)+~P2(x1562,a17)+~P2(f13(x1562,x1561),x1561)+E(x1561,f2(x1562))+~P2(f13(x1562,x1561),a17)+~P8(f20(f13(x1562,x1561)),x1562)
% 0.99/1.02 [122]~P1(x1222)+~P1(x1221)+~P6(x1223,x1222)+~P6(x1221,x1223)+P6(x1221,x1222)+~P1(x1223)
% 0.99/1.02 [149]~P8(x1491,x1493)+P8(x1491,x1492)+~P8(x1493,x1492)+~P2(x1492,a17)+~P2(x1493,a17)+~P2(x1491,a17)
% 0.99/1.02 [116]~P4(x1161)+~P2(x1162,x1161)+P8(x1162,x1163)+~E(x1163,f19(x1161))+~P6(x1161,a17)+E(x1161,a16)
% 0.99/1.02 [153]~P1(x1531)+~P1(x1532)+~P3(x1533)+P2(f8(x1532,x1533,x1531),x1531)+~E(f8(x1532,x1533,x1531),x1533)+E(x1531,f15(x1532,x1533))
% 0.99/1.02 [154]~P1(x1541)+~P1(x1542)+~P3(x1543)+P2(f9(x1542,x1543,x1541),x1541)+E(x1541,f14(x1542,x1543))+P3(f9(x1542,x1543,x1541))
% 0.99/1.02 [155]~P1(x1551)+~P1(x1552)+~P3(x1553)+P2(f8(x1552,x1553,x1551),x1551)+E(x1551,f15(x1552,x1553))+P3(f8(x1552,x1553,x1551))
% 0.99/1.02 [157]~P1(x1571)+~P1(x1572)+~P3(x1573)+P2(f8(x1572,x1573,x1571),x1571)+P2(f8(x1572,x1573,x1571),x1572)+E(x1571,f15(x1572,x1573))
% 0.99/1.02 [100]~P1(x1004)+~P3(x1003)+~P3(x1001)+P2(x1001,x1002)+~E(x1001,x1003)+~E(x1002,f14(x1004,x1003))
% 0.99/1.02 [121]~P1(x1213)+~P3(x1212)+~P2(x1211,x1214)+E(x1211,x1212)+P2(x1211,x1213)+~E(x1214,f14(x1213,x1212))
% 0.99/1.02 [123]~P1(x1233)+~P3(x1234)+~P3(x1231)+~P2(x1231,x1233)+P2(x1231,x1232)+~E(x1232,f14(x1233,x1234))
% 0.99/1.02 [146]E(f21(x1462),f21(x1461))+~P6(x1461,a17)+~P6(x1462,a17)+~P2(f21(x1461),x1462)+~P2(f21(x1462),x1461)+E(x1461,a16)+E(x1462,a16)
% 0.99/1.02 [158]~P1(x1581)+~P1(x1582)+~P3(x1583)+E(f9(x1582,x1583,x1581),x1583)+P2(f9(x1582,x1583,x1581),x1581)+P2(f9(x1582,x1583,x1581),x1582)+E(x1581,f14(x1582,x1583))
% 0.99/1.02 [159]~P1(x1591)+~P1(x1592)+~P3(x1593)+~E(f9(x1592,x1593,x1591),x1593)+~P2(f9(x1592,x1593,x1591),x1591)+E(x1591,f14(x1592,x1593))+~P3(f9(x1592,x1593,x1591))
% 0.99/1.02 [160]~P1(x1601)+~P1(x1602)+~P3(x1603)+~P2(f9(x1602,x1603,x1601),x1601)+~P2(f9(x1602,x1603,x1601),x1602)+E(x1601,f14(x1602,x1603))+~P3(f9(x1602,x1603,x1601))
% 0.99/1.02 [125]~P1(x1254)+~P3(x1252)+~P3(x1251)+~P2(x1251,x1254)+E(x1251,x1252)+P2(x1251,x1253)+~E(x1253,f15(x1254,x1252))
% 0.99/1.02 [161]~P1(x1611)+~P1(x1612)+~P3(x1613)+E(f8(x1612,x1613,x1611),x1613)+~P2(f8(x1612,x1613,x1611),x1611)+~P2(f8(x1612,x1613,x1611),x1612)+E(x1611,f15(x1612,x1613))+~P3(f8(x1612,x1613,x1611))
% 0.99/1.02 %EqnAxiom
% 0.99/1.02 [1]E(x11,x11)
% 0.99/1.02 [2]E(x22,x21)+~E(x21,x22)
% 0.99/1.02 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.99/1.02 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.99/1.02 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 0.99/1.02 [6]~E(x61,x62)+E(f13(x61,x63),f13(x62,x63))
% 0.99/1.02 [7]~E(x71,x72)+E(f13(x73,x71),f13(x73,x72))
% 0.99/1.02 [8]~E(x81,x82)+E(f19(x81),f19(x82))
% 0.99/1.02 [9]~E(x91,x92)+E(f20(x91),f20(x92))
% 0.99/1.02 [10]~E(x101,x102)+E(f8(x101,x103,x104),f8(x102,x103,x104))
% 0.99/1.02 [11]~E(x111,x112)+E(f8(x113,x111,x114),f8(x113,x112,x114))
% 0.99/1.02 [12]~E(x121,x122)+E(f8(x123,x124,x121),f8(x123,x124,x122))
% 0.99/1.02 [13]~E(x131,x132)+E(f15(x131,x133),f15(x132,x133))
% 0.99/1.02 [14]~E(x141,x142)+E(f15(x143,x141),f15(x143,x142))
% 0.99/1.02 [15]~E(x151,x152)+E(f4(x151),f4(x152))
% 0.99/1.02 [16]~E(x161,x162)+E(f14(x161,x163),f14(x162,x163))
% 0.99/1.02 [17]~E(x171,x172)+E(f14(x173,x171),f14(x173,x172))
% 0.99/1.02 [18]~E(x181,x182)+E(f9(x181,x183,x184),f9(x182,x183,x184))
% 0.99/1.02 [19]~E(x191,x192)+E(f9(x193,x191,x194),f9(x193,x192,x194))
% 0.99/1.02 [20]~E(x201,x202)+E(f9(x203,x204,x201),f9(x203,x204,x202))
% 0.99/1.02 [21]~E(x211,x212)+E(f6(x211),f6(x212))
% 0.99/1.02 [22]~E(x221,x222)+E(f21(x221),f21(x222))
% 0.99/1.02 [23]~E(x231,x232)+E(f7(x231,x233),f7(x232,x233))
% 0.99/1.02 [24]~E(x241,x242)+E(f7(x243,x241),f7(x243,x242))
% 0.99/1.02 [25]~E(x251,x252)+E(f12(x251,x253),f12(x252,x253))
% 0.99/1.02 [26]~E(x261,x262)+E(f12(x263,x261),f12(x263,x262))
% 0.99/1.02 [27]~E(x271,x272)+E(f10(x271,x273),f10(x272,x273))
% 0.99/1.02 [28]~E(x281,x282)+E(f10(x283,x281),f10(x283,x282))
% 0.99/1.02 [29]~E(x291,x292)+E(f5(x291),f5(x292))
% 0.99/1.02 [30]~E(x301,x302)+E(f11(x301,x303),f11(x302,x303))
% 0.99/1.02 [31]~E(x311,x312)+E(f11(x313,x311),f11(x313,x312))
% 0.99/1.02 [32]~P1(x321)+P1(x322)+~E(x321,x322)
% 0.99/1.02 [33]P2(x332,x333)+~E(x331,x332)+~P2(x331,x333)
% 0.99/1.02 [34]P2(x343,x342)+~E(x341,x342)+~P2(x343,x341)
% 0.99/1.02 [35]~P4(x351)+P4(x352)+~E(x351,x352)
% 0.99/1.02 [36]~P3(x361)+P3(x362)+~E(x361,x362)
% 0.99/1.02 [37]~P5(x371)+P5(x372)+~E(x371,x372)
% 0.99/1.02 [38]P6(x382,x383)+~E(x381,x382)+~P6(x381,x383)
% 0.99/1.02 [39]P6(x393,x392)+~E(x391,x392)+~P6(x393,x391)
% 0.99/1.02 [40]P8(x402,x403)+~E(x401,x402)+~P8(x401,x403)
% 0.99/1.02 [41]P8(x413,x412)+~E(x411,x412)+~P8(x413,x411)
% 0.99/1.02 [42]P7(x422,x423)+~E(x421,x422)+~P7(x421,x423)
% 0.99/1.02 [43]P7(x433,x432)+~E(x431,x432)+~P7(x433,x431)
% 0.99/1.02
% 0.99/1.02 %-------------------------------------------
% 0.99/1.02 cnf(162,plain,
% 0.99/1.02 (E(a16,f2(a1))),
% 0.99/1.02 inference(scs_inference,[],[44,2])).
% 0.99/1.02 cnf(163,plain,
% 0.99/1.02 (P8(a1,a1)),
% 0.99/1.02 inference(scs_inference,[],[44,50,2,73])).
% 0.99/1.02 cnf(165,plain,
% 0.99/1.02 (~P2(x1651,f2(a1))),
% 0.99/1.02 inference(scs_inference,[],[44,50,2,73,60])).
% 0.99/1.02 cnf(167,plain,
% 0.99/1.02 (P1(f2(a1))),
% 0.99/1.02 inference(scs_inference,[],[44,50,2,73,60,52])).
% 0.99/1.02 cnf(169,plain,
% 0.99/1.02 (P4(f2(a1))),
% 0.99/1.02 inference(scs_inference,[],[44,47,50,2,73,60,52,35])).
% 0.99/1.02 cnf(170,plain,
% 0.99/1.02 (~E(a17,f2(a1))),
% 0.99/1.02 inference(scs_inference,[],[44,47,50,2,73,60,52,35,34])).
% 0.99/1.02 cnf(171,plain,
% 0.99/1.02 (P1(a16)),
% 0.99/1.02 inference(scs_inference,[],[44,47,50,2,73,60,52,35,34,32])).
% 0.99/1.02 cnf(172,plain,
% 0.99/1.02 (~E(a17,a16)),
% 0.99/1.02 inference(scs_inference,[],[44,47,50,2,73,60,52,35,34,32,3])).
% 0.99/1.02 cnf(173,plain,
% 0.99/1.02 (~P4(a17)),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58])).
% 0.99/1.02 cnf(175,plain,
% 0.99/1.02 (~P5(f2(a1))),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56])).
% 0.99/1.02 cnf(177,plain,
% 0.99/1.02 (P8(f20(a1),f20(a1))),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129])).
% 0.99/1.02 cnf(179,plain,
% 0.99/1.02 (P6(f2(a1),f2(a1))),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129,128])).
% 0.99/1.02 cnf(181,plain,
% 0.99/1.02 (P6(a17,a17)),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129,128,59])).
% 0.99/1.02 cnf(183,plain,
% 0.99/1.02 (~P8(f20(a1),a1)),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129,128,59,89])).
% 0.99/1.02 cnf(191,plain,
% 0.99/1.02 (P2(f5(a1),a18)),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78])).
% 0.99/1.02 cnf(193,plain,
% 0.99/1.02 (P2(f20(a1),a17)),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77])).
% 0.99/1.02 cnf(195,plain,
% 0.99/1.02 (P4(f2(f20(a1)))),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65])).
% 0.99/1.02 cnf(197,plain,
% 0.99/1.02 (P1(f2(f20(a1)))),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64])).
% 0.99/1.02 cnf(199,plain,
% 0.99/1.02 (~E(f20(a1),a1)),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64,62])).
% 0.99/1.02 cnf(203,plain,
% 0.99/1.02 (P3(f3(a17))),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64,62,61,57])).
% 0.99/1.02 cnf(213,plain,
% 0.99/1.02 (E(f7(f2(a1),x2131),f7(a16,x2131))),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64,62,61,57,31,30,29,28,27,26,25,24,23])).
% 0.99/1.02 cnf(216,plain,
% 0.99/1.02 (E(f9(x2161,x2162,f2(a1)),f9(x2161,x2162,a16))),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64,62,61,57,31,30,29,28,27,26,25,24,23,22,21,20])).
% 0.99/1.02 cnf(217,plain,
% 0.99/1.02 (E(f9(x2171,f2(a1),x2172),f9(x2171,a16,x2172))),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64,62,61,57,31,30,29,28,27,26,25,24,23,22,21,20,19])).
% 0.99/1.02 cnf(220,plain,
% 0.99/1.02 (E(f14(f2(a1),x2201),f14(a16,x2201))),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64,62,61,57,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16])).
% 0.99/1.02 cnf(223,plain,
% 0.99/1.02 (E(f15(f2(a1),x2231),f15(a16,x2231))),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64,62,61,57,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13])).
% 0.99/1.02 cnf(233,plain,
% 0.99/1.02 (~E(a1,f20(a1))),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64,62,61,57,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40])).
% 0.99/1.02 cnf(237,plain,
% 0.99/1.02 (P3(a1)),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64,62,61,57,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,39,38,36,72])).
% 0.99/1.02 cnf(241,plain,
% 0.99/1.02 (P2(f5(a1),f2(f20(f19(a18))))),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64,62,61,57,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,39,38,36,72,97,126])).
% 0.99/1.02 cnf(243,plain,
% 0.99/1.02 (~P2(f3(a17),a17)),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64,62,61,57,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,39,38,36,72,97,126,82])).
% 0.99/1.02 cnf(245,plain,
% 0.99/1.02 (P2(f6(f20(a1)),a17)),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64,62,61,57,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,39,38,36,72,97,126,82,81])).
% 0.99/1.02 cnf(247,plain,
% 0.99/1.02 (P2(f3(a16),a17)),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64,62,61,57,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,39,38,36,72,97,126,82,81,70])).
% 0.99/1.02 cnf(249,plain,
% 0.99/1.02 (E(f20(f6(f20(a1))),f20(a1))),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64,62,61,57,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,39,38,36,72,97,126,82,81,70,68])).
% 0.99/1.02 cnf(255,plain,
% 0.99/1.02 (E(f3(f2(a1)),a1)),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64,62,61,57,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,39,38,36,72,97,126,82,81,70,68,63,54,53])).
% 0.99/1.02 cnf(257,plain,
% 0.99/1.02 (E(f14(f15(a17,a1),a1),a17)),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64,62,61,57,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,39,38,36,72,97,126,82,81,70,68,63,54,53,113])).
% 0.99/1.02 cnf(259,plain,
% 0.99/1.02 (~P2(f3(a17),a18)),
% 0.99/1.02 inference(scs_inference,[],[44,45,47,49,50,51,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64,62,61,57,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,39,38,36,72,97,126,82,81,70,68,63,54,53,113,109])).
% 0.99/1.02 cnf(265,plain,
% 0.99/1.02 (P1(f15(f2(a1),f3(a17)))),
% 0.99/1.02 inference(scs_inference,[],[44,45,46,47,48,49,50,51,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64,62,61,57,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,39,38,36,72,97,126,82,81,70,68,63,54,53,113,109,83,103,85])).
% 0.99/1.02 cnf(269,plain,
% 0.99/1.02 (~P2(a1,a16)),
% 0.99/1.02 inference(scs_inference,[],[44,45,46,47,48,49,50,51,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64,62,61,57,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,39,38,36,72,97,126,82,81,70,68,63,54,53,113,109,83,103,85,84,114])).
% 0.99/1.02 cnf(275,plain,
% 0.99/1.02 (P4(f15(a16,f3(a17)))),
% 0.99/1.02 inference(scs_inference,[],[44,45,46,47,48,49,50,51,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64,62,61,57,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,39,38,36,72,97,126,82,81,70,68,63,54,53,113,109,83,103,85,84,114,94,93,92])).
% 0.99/1.02 cnf(279,plain,
% 0.99/1.02 (~P8(f20(f20(a1)),f20(a1))),
% 0.99/1.02 inference(scs_inference,[],[44,45,46,47,48,49,50,51,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64,62,61,57,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,39,38,36,72,97,126,82,81,70,68,63,54,53,113,109,83,103,85,84,114,94,93,92,91,135])).
% 0.99/1.02 cnf(285,plain,
% 0.99/1.02 (P2(f7(f2(a1),a18),a18)),
% 0.99/1.02 inference(scs_inference,[],[44,45,46,47,48,49,50,51,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64,62,61,57,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,39,38,36,72,97,126,82,81,70,68,63,54,53,113,109,83,103,85,84,114,94,93,92,91,135,134,131,111])).
% 0.99/1.02 cnf(293,plain,
% 0.99/1.02 (~E(a17,f15(f2(a1),f3(a17)))),
% 0.99/1.02 inference(scs_inference,[],[44,45,46,47,48,49,50,51,2,73,60,52,35,34,32,3,58,56,129,128,59,89,88,80,79,78,77,65,64,62,61,57,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,40,39,38,36,72,97,126,82,81,70,68,63,54,53,113,109,83,103,85,84,114,94,93,92,91,135,134,131,111,87,102,112,117])).
% 0.99/1.02 cnf(331,plain,
% 0.99/1.02 (P2(f19(a18),a18)),
% 0.99/1.03 inference(scs_inference,[],[285,75])).
% 0.99/1.03 cnf(333,plain,
% 0.99/1.03 (~P2(x3331,a18)+P8(x3331,f19(a18))),
% 0.99/1.03 inference(scs_inference,[],[285,97])).
% 0.99/1.03 cnf(334,plain,
% 0.99/1.03 (P6(a18,f2(f20(f19(a18))))),
% 0.99/1.03 inference(scs_inference,[],[285,101])).
% 0.99/1.03 cnf(335,plain,
% 0.99/1.03 (~P2(x3351,a18)+P2(x3351,f2(f20(f19(a18))))),
% 0.99/1.03 inference(scs_inference,[],[285,126])).
% 0.99/1.03 cnf(336,plain,
% 0.99/1.03 (P2(x3361,a17)+~P2(x3361,f2(f20(f19(a18))))),
% 0.99/1.03 inference(scs_inference,[],[285,139])).
% 0.99/1.03 cnf(337,plain,
% 0.99/1.03 (P8(f20(x3371),f20(f19(a18)))+~P2(x3371,f2(f20(f19(a18))))),
% 0.99/1.03 inference(scs_inference,[],[285,150])).
% 0.99/1.03 cnf(345,plain,
% 0.99/1.03 (P2(f7(f2(a1),a18),a17)),
% 0.99/1.03 inference(scs_inference,[],[285,243,336,335,333,66])).
% 0.99/1.03 cnf(349,plain,
% 0.99/1.03 (~P2(f20(a1),f2(f20(a1)))),
% 0.99/1.03 inference(scs_inference,[],[279,285,245,193,243,336,335,333,66,105,115])).
% 0.99/1.03 cnf(354,plain,
% 0.99/1.03 (~P2(x3541,f2(a1))),
% 0.99/1.03 inference(rename_variables,[],[165])).
% 0.99/1.03 cnf(358,plain,
% 0.99/1.03 (P3(f7(f2(a1),a18))),
% 0.99/1.03 inference(scs_inference,[],[46,45,50,165,279,167,203,293,285,245,193,233,243,336,335,333,66,105,115,96,157,67,72])).
% 0.99/1.03 cnf(378,plain,
% 0.99/1.03 (~P5(a18)),
% 0.99/1.03 inference(scs_inference,[],[44,48,46,45,50,199,220,165,241,170,279,167,179,203,293,285,245,255,191,193,233,243,171,173,237,269,336,335,333,66,105,115,96,157,67,72,70,113,84,91,117,143,60,39,35,3,58])).
% 0.99/1.03 cnf(380,plain,
% 0.99/1.03 (~P6(a17,f2(f20(a1)))),
% 0.99/1.03 inference(scs_inference,[],[44,48,46,45,50,199,220,165,195,197,241,170,279,167,179,203,293,285,245,255,191,193,233,243,171,173,237,269,336,335,333,66,105,115,96,157,67,72,70,113,84,91,117,143,60,39,35,3,58,83])).
% 0.99/1.03 cnf(383,plain,
% 0.99/1.03 (E(f15(f2(a1),x3831),f15(a16,x3831))),
% 0.99/1.03 inference(rename_variables,[],[223])).
% 0.99/1.03 cnf(391,plain,
% 0.99/1.03 (E(f15(f14(f2(a1),f3(a17)),f3(a17)),f2(a1))),
% 0.99/1.03 inference(scs_inference,[],[44,48,47,46,45,50,199,220,223,165,354,195,197,241,170,279,167,179,203,293,285,245,255,191,193,233,243,171,173,237,269,336,335,333,66,105,115,96,157,67,72,70,113,84,91,117,143,60,39,35,3,58,83,85,114,92,102,112])).
% 0.99/1.03 cnf(392,plain,
% 0.99/1.03 (~P2(x3921,f2(a1))),
% 0.99/1.03 inference(rename_variables,[],[165])).
% 0.99/1.03 cnf(396,plain,
% 0.99/1.03 (E(f3(f14(a18,f3(a17))),f20(f3(a18)))),
% 0.99/1.03 inference(scs_inference,[],[44,48,47,46,45,50,199,220,223,165,354,195,197,241,170,183,259,279,167,179,203,293,285,245,255,191,193,233,243,171,172,173,181,237,269,336,335,333,66,105,115,96,157,67,72,70,113,84,91,117,143,60,39,35,3,58,83,85,114,92,102,112,110,119])).
% 0.99/1.03 cnf(402,plain,
% 0.99/1.03 (P6(a16,f2(a1))),
% 0.99/1.03 inference(scs_inference,[],[44,48,47,46,45,50,199,213,220,223,165,354,195,197,241,170,183,259,279,167,175,179,203,293,285,245,255,162,191,193,233,243,171,172,173,181,237,269,336,335,333,66,105,115,96,157,67,72,70,113,84,91,117,143,60,39,35,3,58,83,85,114,92,102,112,110,119,37,2,40,38])).
% 0.99/1.03 cnf(403,plain,
% 0.99/1.03 (~P2(x4031,a16)),
% 0.99/1.03 inference(scs_inference,[],[44,48,47,46,45,50,199,213,220,223,165,354,392,195,197,241,170,183,259,279,167,175,179,203,293,285,245,255,162,191,193,233,243,171,172,173,181,237,269,336,335,333,66,105,115,96,157,67,72,70,113,84,91,117,143,60,39,35,3,58,83,85,114,92,102,112,110,119,37,2,40,38,34])).
% 0.99/1.03 cnf(404,plain,
% 0.99/1.03 (~E(a1,f3(a17))),
% 0.99/1.03 inference(scs_inference,[],[44,48,47,46,45,50,199,213,220,223,165,354,392,195,197,241,170,183,259,279,167,175,179,203,293,285,245,255,162,191,193,233,243,171,172,173,181,237,269,336,335,333,66,105,115,96,157,67,72,70,113,84,91,117,143,60,39,35,3,58,83,85,114,92,102,112,110,119,37,2,40,38,34,33])).
% 0.99/1.03 cnf(405,plain,
% 0.99/1.03 (P1(f15(a16,f3(a17)))),
% 0.99/1.03 inference(scs_inference,[],[44,48,47,46,45,50,199,213,220,223,383,165,354,392,195,197,265,241,170,183,259,279,167,175,179,203,293,285,245,255,162,191,193,233,243,171,172,173,181,237,269,336,335,333,66,105,115,96,157,67,72,70,113,84,91,117,143,60,39,35,3,58,83,85,114,92,102,112,110,119,37,2,40,38,34,33,32])).
% 0.99/1.03 cnf(410,plain,
% 0.99/1.03 (~P2(x4101,f2(a1))),
% 0.99/1.03 inference(rename_variables,[],[165])).
% 0.99/1.03 cnf(414,plain,
% 0.99/1.03 (~P8(f20(a1),f10(a17,f20(a1)))),
% 0.99/1.03 inference(scs_inference,[],[44,48,47,46,45,50,199,213,220,223,383,165,354,392,195,197,265,241,170,183,259,279,167,175,179,203,293,285,245,255,162,191,193,233,243,171,172,173,181,237,269,336,335,333,66,105,115,96,157,67,72,70,113,84,91,117,143,60,39,35,3,58,83,85,114,92,102,112,110,119,37,2,40,38,34,33,32,337,132,145,144])).
% 0.99/1.03 cnf(416,plain,
% 0.99/1.03 (P2(f10(a17,f20(a1)),a17)),
% 0.99/1.03 inference(scs_inference,[],[44,48,47,46,45,50,199,213,220,223,383,165,354,392,195,197,265,241,170,183,259,279,167,175,179,203,293,285,245,255,162,191,193,233,243,171,172,173,181,237,269,336,335,333,66,105,115,96,157,67,72,70,113,84,91,117,143,60,39,35,3,58,83,85,114,92,102,112,110,119,37,2,40,38,34,33,32,337,132,145,144,130])).
% 0.99/1.03 cnf(419,plain,
% 0.99/1.03 (~P2(x4191,f2(a1))),
% 0.99/1.03 inference(rename_variables,[],[165])).
% 0.99/1.03 cnf(421,plain,
% 0.99/1.03 (~P8(f20(f13(a1,a17)),a1)),
% 0.99/1.03 inference(scs_inference,[],[44,48,47,46,45,50,199,213,220,223,383,165,354,392,410,195,197,265,241,170,183,259,279,167,175,179,203,293,285,245,255,162,191,193,233,243,171,172,173,181,237,269,336,335,333,66,105,115,96,157,67,72,70,113,84,91,117,143,60,39,35,3,58,83,85,114,92,102,112,110,119,37,2,40,38,34,33,32,337,132,145,144,130,121,156])).
% 0.99/1.03 cnf(423,plain,
% 0.99/1.03 (~P6(a17,f2(a1))),
% 0.99/1.03 inference(scs_inference,[],[44,48,47,46,45,50,199,213,220,223,383,165,354,392,410,419,195,197,265,241,170,183,259,279,167,175,179,203,293,285,245,255,162,191,193,233,243,171,172,173,181,237,269,336,335,333,66,105,115,96,157,67,72,70,113,84,91,117,143,60,39,35,3,58,83,85,114,92,102,112,110,119,37,2,40,38,34,33,32,337,132,145,144,130,121,156,109])).
% 0.99/1.03 cnf(462,plain,
% 0.99/1.03 (~P2(x4621,a16)),
% 0.99/1.03 inference(rename_variables,[],[403])).
% 0.99/1.03 cnf(469,plain,
% 0.99/1.03 (~P2(x4691,a16)),
% 0.99/1.03 inference(rename_variables,[],[403])).
% 0.99/1.03 cnf(472,plain,
% 0.99/1.03 (~P2(x4721,a16)),
% 0.99/1.03 inference(rename_variables,[],[403])).
% 0.99/1.03 cnf(474,plain,
% 0.99/1.03 (P2(f5(a1),a17)),
% 0.99/1.03 inference(scs_inference,[],[45,47,50,177,358,403,462,469,345,404,241,171,193,203,157,128,91,123,121,336])).
% 0.99/1.03 cnf(476,plain,
% 0.99/1.03 (~P2(f20(f19(a18)),a17)),
% 0.99/1.03 inference(scs_inference,[],[45,47,50,177,358,403,462,469,345,404,334,241,171,193,203,157,128,91,123,121,336,88])).
% 0.99/1.03 cnf(482,plain,
% 0.99/1.03 (P2(f19(a18),a17)),
% 0.99/1.03 inference(scs_inference,[],[45,51,47,50,177,358,403,462,469,345,404,331,334,199,241,171,193,203,157,128,91,123,121,336,88,96,129,109])).
% 0.99/1.03 cnf(493,plain,
% 0.99/1.03 (~P2(x4931,a16)),
% 0.99/1.03 inference(rename_variables,[],[403])).
% 0.99/1.03 cnf(496,plain,
% 0.99/1.03 (~P2(x4961,a16)),
% 0.99/1.03 inference(rename_variables,[],[403])).
% 0.99/1.03 cnf(523,plain,
% 0.99/1.03 (P1(f15(f14(f2(a1),f3(a17)),f3(a17)))),
% 0.99/1.03 inference(scs_inference,[],[45,49,51,47,46,50,163,177,349,405,396,216,217,358,423,414,391,257,275,169,403,462,469,472,493,496,421,345,416,402,404,378,331,334,199,249,165,259,173,172,181,241,171,167,193,203,44,157,128,91,123,121,336,88,96,129,109,58,118,114,102,117,111,35,92,112,110,39,37,122,34,3,40,33,2,38,41,124,154,69])).
% 0.99/1.03 cnf(527,plain,
% 0.99/1.03 (P6(f11(f2(a1),f3(a16)),f2(a1))),
% 0.99/1.03 inference(scs_inference,[],[45,49,51,47,46,50,163,177,349,405,396,216,217,358,423,414,391,257,275,169,403,462,469,472,493,496,421,345,416,402,404,378,331,334,247,199,249,165,259,173,172,181,241,171,167,193,203,44,157,128,91,123,121,336,88,96,129,109,58,118,114,102,117,111,35,92,112,110,39,37,122,34,3,40,33,2,38,41,124,154,69,66,142])).
% 0.99/1.03 cnf(533,plain,
% 0.99/1.03 (E(f15(f14(f2(a1),f3(a17)),f3(a17)),a16)),
% 0.99/1.03 inference(scs_inference,[],[45,49,51,47,46,50,163,177,349,405,396,216,217,358,423,414,391,257,275,169,403,462,469,472,493,496,421,345,416,402,404,378,331,334,247,199,249,165,259,173,172,181,241,171,167,193,203,44,157,128,91,123,121,336,88,96,129,109,58,118,114,102,117,111,35,92,112,110,39,37,122,34,3,40,33,2,38,41,124,154,69,66,142,77,94,93,63])).
% 0.99/1.03 cnf(578,plain,
% 0.99/1.03 (E(f6(f20(a1)),a1)),
% 0.99/1.03 inference(scs_inference,[],[45,49,50,523,476,474,527,533,249,245,237,172,181,167,71,87,77,93,53,94,96])).
% 0.99/1.03 cnf(653,plain,
% 0.99/1.03 ($false),
% 0.99/1.03 inference(scs_inference,[],[50,380,578,482,476,197,245,45,131,120,77]),
% 0.99/1.03 ['proof']).
% 0.99/1.03 % SZS output end Proof
% 0.99/1.03 % Total time :0.350000s
%------------------------------------------------------------------------------