TSTP Solution File: NUM576+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM576+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 10:23:12 EDT 2023
% Result : Theorem 1.10s 1.20s
% Output : CNFRefutation 1.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM576+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 17:25:33 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 1.10/1.18 %-------------------------------------------
% 1.10/1.18 % File :CSE---1.6
% 1.10/1.18 % Problem :theBenchmark
% 1.10/1.18 % Transform :cnf
% 1.10/1.18 % Format :tptp:raw
% 1.10/1.18 % Command :java -jar mcs_scs.jar %d %s
% 1.10/1.18
% 1.10/1.18 % Result :Theorem 0.510000s
% 1.10/1.18 % Output :CNFRefutation 0.510000s
% 1.10/1.18 %-------------------------------------------
% 1.10/1.18 %------------------------------------------------------------------------------
% 1.10/1.18 % File : NUM576+1 : TPTP v8.1.2. Released v4.0.0.
% 1.10/1.18 % Domain : Number Theory
% 1.10/1.18 % Problem : Ramsey's Infinite Theorem 15_02_05_01, 00 expansion
% 1.10/1.18 % Version : Especial.
% 1.10/1.18 % English :
% 1.10/1.18
% 1.10/1.18 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 1.10/1.18 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 1.10/1.18 % Source : [Pas08]
% 1.10/1.18 % Names : ramsey_15_02_05_01.00 [Pas08]
% 1.10/1.18
% 1.10/1.18 % Status : Theorem
% 1.10/1.18 % Rating : 0.22 v8.1.0, 0.19 v7.5.0, 0.22 v7.4.0, 0.17 v7.2.0, 0.14 v7.1.0, 0.13 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.12 v6.2.0, 0.16 v6.1.0, 0.17 v5.5.0, 0.19 v5.4.0, 0.25 v5.3.0, 0.33 v5.2.0, 0.20 v5.1.0, 0.29 v5.0.0, 0.33 v4.1.0, 0.43 v4.0.1, 0.74 v4.0.0
% 1.10/1.18 % Syntax : Number of formulae : 85 ( 6 unt; 11 def)
% 1.10/1.18 % Number of atoms : 333 ( 56 equ)
% 1.10/1.18 % Maximal formula atoms : 12 ( 3 avg)
% 1.10/1.18 % Number of connectives : 271 ( 23 ~; 5 |; 102 &)
% 1.10/1.18 % ( 22 <=>; 119 =>; 0 <=; 0 <~>)
% 1.10/1.18 % Maximal formula depth : 15 ( 5 avg)
% 1.10/1.18 % Maximal term depth : 4 ( 1 avg)
% 1.10/1.18 % Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% 1.10/1.18 % Number of functors : 25 ( 25 usr; 11 con; 0-2 aty)
% 1.10/1.18 % Number of variables : 149 ( 141 !; 8 ?)
% 1.10/1.18 % SPC : FOF_THM_RFO_SEQ
% 1.10/1.18
% 1.10/1.18 % Comments : Problem generated by the SAD system [VLP07]
% 1.10/1.18 %------------------------------------------------------------------------------
% 1.10/1.18 fof(mSetSort,axiom,
% 1.10/1.18 ! [W0] :
% 1.10/1.18 ( aSet0(W0)
% 1.10/1.18 => $true ) ).
% 1.10/1.18
% 1.10/1.18 fof(mElmSort,axiom,
% 1.10/1.18 ! [W0] :
% 1.10/1.18 ( aElement0(W0)
% 1.10/1.18 => $true ) ).
% 1.10/1.18
% 1.10/1.18 fof(mEOfElem,axiom,
% 1.10/1.18 ! [W0] :
% 1.10/1.18 ( aSet0(W0)
% 1.10/1.18 => ! [W1] :
% 1.10/1.18 ( aElementOf0(W1,W0)
% 1.10/1.18 => aElement0(W1) ) ) ).
% 1.10/1.18
% 1.10/1.18 fof(mFinRel,axiom,
% 1.10/1.18 ! [W0] :
% 1.10/1.18 ( aSet0(W0)
% 1.10/1.18 => ( isFinite0(W0)
% 1.10/1.18 => $true ) ) ).
% 1.10/1.18
% 1.10/1.18 fof(mDefEmp,definition,
% 1.10/1.18 ! [W0] :
% 1.10/1.18 ( W0 = slcrc0
% 1.10/1.18 <=> ( aSet0(W0)
% 1.10/1.18 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ).
% 1.10/1.18
% 1.10/1.18 fof(mEmpFin,axiom,
% 1.10/1.18 isFinite0(slcrc0) ).
% 1.10/1.18
% 1.10/1.18 fof(mCntRel,axiom,
% 1.10/1.18 ! [W0] :
% 1.10/1.18 ( aSet0(W0)
% 1.10/1.18 => ( isCountable0(W0)
% 1.10/1.18 => $true ) ) ).
% 1.10/1.18
% 1.10/1.18 fof(mCountNFin,axiom,
% 1.10/1.18 ! [W0] :
% 1.10/1.18 ( ( aSet0(W0)
% 1.10/1.18 & isCountable0(W0) )
% 1.10/1.18 => ~ isFinite0(W0) ) ).
% 1.10/1.18
% 1.10/1.18 fof(mCountNFin_01,axiom,
% 1.10/1.18 ! [W0] :
% 1.10/1.18 ( ( aSet0(W0)
% 1.10/1.18 & isCountable0(W0) )
% 1.10/1.18 => W0 != slcrc0 ) ).
% 1.10/1.18
% 1.10/1.18 fof(mDefSub,definition,
% 1.10/1.19 ! [W0] :
% 1.10/1.19 ( aSet0(W0)
% 1.10/1.19 => ! [W1] :
% 1.10/1.19 ( aSubsetOf0(W1,W0)
% 1.10/1.19 <=> ( aSet0(W1)
% 1.10/1.19 & ! [W2] :
% 1.10/1.19 ( aElementOf0(W2,W1)
% 1.10/1.19 => aElementOf0(W2,W0) ) ) ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mSubFSet,axiom,
% 1.10/1.19 ! [W0] :
% 1.10/1.19 ( ( aSet0(W0)
% 1.10/1.19 & isFinite0(W0) )
% 1.10/1.19 => ! [W1] :
% 1.10/1.19 ( aSubsetOf0(W1,W0)
% 1.10/1.19 => isFinite0(W1) ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mSubRefl,axiom,
% 1.10/1.19 ! [W0] :
% 1.10/1.19 ( aSet0(W0)
% 1.10/1.19 => aSubsetOf0(W0,W0) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mSubASymm,axiom,
% 1.10/1.19 ! [W0,W1] :
% 1.10/1.19 ( ( aSet0(W0)
% 1.10/1.19 & aSet0(W1) )
% 1.10/1.19 => ( ( aSubsetOf0(W0,W1)
% 1.10/1.19 & aSubsetOf0(W1,W0) )
% 1.10/1.19 => W0 = W1 ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mSubTrans,axiom,
% 1.10/1.19 ! [W0,W1,W2] :
% 1.10/1.19 ( ( aSet0(W0)
% 1.10/1.19 & aSet0(W1)
% 1.10/1.19 & aSet0(W2) )
% 1.10/1.19 => ( ( aSubsetOf0(W0,W1)
% 1.10/1.19 & aSubsetOf0(W1,W2) )
% 1.10/1.19 => aSubsetOf0(W0,W2) ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mDefCons,definition,
% 1.10/1.19 ! [W0,W1] :
% 1.10/1.19 ( ( aSet0(W0)
% 1.10/1.19 & aElement0(W1) )
% 1.10/1.19 => ! [W2] :
% 1.10/1.19 ( W2 = sdtpldt0(W0,W1)
% 1.10/1.19 <=> ( aSet0(W2)
% 1.10/1.19 & ! [W3] :
% 1.10/1.19 ( aElementOf0(W3,W2)
% 1.10/1.19 <=> ( aElement0(W3)
% 1.10/1.19 & ( aElementOf0(W3,W0)
% 1.10/1.19 | W3 = W1 ) ) ) ) ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mDefDiff,definition,
% 1.10/1.19 ! [W0,W1] :
% 1.10/1.19 ( ( aSet0(W0)
% 1.10/1.19 & aElement0(W1) )
% 1.10/1.19 => ! [W2] :
% 1.10/1.19 ( W2 = sdtmndt0(W0,W1)
% 1.10/1.19 <=> ( aSet0(W2)
% 1.10/1.19 & ! [W3] :
% 1.10/1.19 ( aElementOf0(W3,W2)
% 1.10/1.19 <=> ( aElement0(W3)
% 1.10/1.19 & aElementOf0(W3,W0)
% 1.10/1.19 & W3 != W1 ) ) ) ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mConsDiff,axiom,
% 1.10/1.19 ! [W0] :
% 1.10/1.19 ( aSet0(W0)
% 1.10/1.19 => ! [W1] :
% 1.10/1.19 ( aElementOf0(W1,W0)
% 1.10/1.19 => sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mDiffCons,axiom,
% 1.10/1.19 ! [W0,W1] :
% 1.10/1.19 ( ( aElement0(W0)
% 1.10/1.19 & aSet0(W1) )
% 1.10/1.19 => ( ~ aElementOf0(W0,W1)
% 1.10/1.19 => sdtmndt0(sdtpldt0(W1,W0),W0) = W1 ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mCConsSet,axiom,
% 1.10/1.19 ! [W0] :
% 1.10/1.19 ( aElement0(W0)
% 1.10/1.19 => ! [W1] :
% 1.10/1.19 ( ( aSet0(W1)
% 1.10/1.19 & isCountable0(W1) )
% 1.10/1.19 => isCountable0(sdtpldt0(W1,W0)) ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mCDiffSet,axiom,
% 1.10/1.19 ! [W0] :
% 1.10/1.19 ( aElement0(W0)
% 1.10/1.19 => ! [W1] :
% 1.10/1.19 ( ( aSet0(W1)
% 1.10/1.19 & isCountable0(W1) )
% 1.10/1.19 => isCountable0(sdtmndt0(W1,W0)) ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mFConsSet,axiom,
% 1.10/1.19 ! [W0] :
% 1.10/1.19 ( aElement0(W0)
% 1.10/1.19 => ! [W1] :
% 1.10/1.19 ( ( aSet0(W1)
% 1.10/1.19 & isFinite0(W1) )
% 1.10/1.19 => isFinite0(sdtpldt0(W1,W0)) ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mFDiffSet,axiom,
% 1.10/1.19 ! [W0] :
% 1.10/1.19 ( aElement0(W0)
% 1.10/1.19 => ! [W1] :
% 1.10/1.19 ( ( aSet0(W1)
% 1.10/1.19 & isFinite0(W1) )
% 1.10/1.19 => isFinite0(sdtmndt0(W1,W0)) ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mNATSet,axiom,
% 1.10/1.19 ( aSet0(szNzAzT0)
% 1.10/1.19 & isCountable0(szNzAzT0) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mZeroNum,axiom,
% 1.10/1.19 aElementOf0(sz00,szNzAzT0) ).
% 1.10/1.19
% 1.10/1.19 fof(mSuccNum,axiom,
% 1.10/1.19 ! [W0] :
% 1.10/1.19 ( aElementOf0(W0,szNzAzT0)
% 1.10/1.19 => ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
% 1.10/1.19 & szszuzczcdt0(W0) != sz00 ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mSuccEquSucc,axiom,
% 1.10/1.19 ! [W0,W1] :
% 1.10/1.19 ( ( aElementOf0(W0,szNzAzT0)
% 1.10/1.19 & aElementOf0(W1,szNzAzT0) )
% 1.10/1.19 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 1.10/1.19 => W0 = W1 ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mNatExtra,axiom,
% 1.10/1.19 ! [W0] :
% 1.10/1.19 ( aElementOf0(W0,szNzAzT0)
% 1.10/1.19 => ( W0 = sz00
% 1.10/1.19 | ? [W1] :
% 1.10/1.19 ( aElementOf0(W1,szNzAzT0)
% 1.10/1.19 & W0 = szszuzczcdt0(W1) ) ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mNatNSucc,axiom,
% 1.10/1.19 ! [W0] :
% 1.10/1.19 ( aElementOf0(W0,szNzAzT0)
% 1.10/1.19 => W0 != szszuzczcdt0(W0) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mLessRel,axiom,
% 1.10/1.19 ! [W0,W1] :
% 1.10/1.19 ( ( aElementOf0(W0,szNzAzT0)
% 1.10/1.19 & aElementOf0(W1,szNzAzT0) )
% 1.10/1.19 => ( sdtlseqdt0(W0,W1)
% 1.10/1.19 => $true ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mZeroLess,axiom,
% 1.10/1.19 ! [W0] :
% 1.10/1.19 ( aElementOf0(W0,szNzAzT0)
% 1.10/1.19 => sdtlseqdt0(sz00,W0) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mNoScLessZr,axiom,
% 1.10/1.19 ! [W0] :
% 1.10/1.19 ( aElementOf0(W0,szNzAzT0)
% 1.10/1.19 => ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mSuccLess,axiom,
% 1.10/1.19 ! [W0,W1] :
% 1.10/1.19 ( ( aElementOf0(W0,szNzAzT0)
% 1.10/1.19 & aElementOf0(W1,szNzAzT0) )
% 1.10/1.19 => ( sdtlseqdt0(W0,W1)
% 1.10/1.19 <=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mLessSucc,axiom,
% 1.10/1.19 ! [W0] :
% 1.10/1.19 ( aElementOf0(W0,szNzAzT0)
% 1.10/1.19 => sdtlseqdt0(W0,szszuzczcdt0(W0)) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mLessRefl,axiom,
% 1.10/1.19 ! [W0] :
% 1.10/1.19 ( aElementOf0(W0,szNzAzT0)
% 1.10/1.19 => sdtlseqdt0(W0,W0) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mLessASymm,axiom,
% 1.10/1.19 ! [W0,W1] :
% 1.10/1.19 ( ( aElementOf0(W0,szNzAzT0)
% 1.10/1.19 & aElementOf0(W1,szNzAzT0) )
% 1.10/1.19 => ( ( sdtlseqdt0(W0,W1)
% 1.10/1.19 & sdtlseqdt0(W1,W0) )
% 1.10/1.19 => W0 = W1 ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mLessTrans,axiom,
% 1.10/1.19 ! [W0,W1,W2] :
% 1.10/1.19 ( ( aElementOf0(W0,szNzAzT0)
% 1.10/1.19 & aElementOf0(W1,szNzAzT0)
% 1.10/1.19 & aElementOf0(W2,szNzAzT0) )
% 1.10/1.19 => ( ( sdtlseqdt0(W0,W1)
% 1.10/1.19 & sdtlseqdt0(W1,W2) )
% 1.10/1.19 => sdtlseqdt0(W0,W2) ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mLessTotal,axiom,
% 1.10/1.19 ! [W0,W1] :
% 1.10/1.19 ( ( aElementOf0(W0,szNzAzT0)
% 1.10/1.19 & aElementOf0(W1,szNzAzT0) )
% 1.10/1.19 => ( sdtlseqdt0(W0,W1)
% 1.10/1.19 | sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mIHSort,axiom,
% 1.10/1.19 ! [W0,W1] :
% 1.10/1.19 ( ( aElementOf0(W0,szNzAzT0)
% 1.10/1.19 & aElementOf0(W1,szNzAzT0) )
% 1.10/1.19 => ( iLess0(W0,W1)
% 1.10/1.19 => $true ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mIH,axiom,
% 1.10/1.19 ! [W0] :
% 1.10/1.19 ( aElementOf0(W0,szNzAzT0)
% 1.10/1.19 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mCardS,axiom,
% 1.10/1.19 ! [W0] :
% 1.10/1.19 ( aSet0(W0)
% 1.10/1.19 => aElement0(sbrdtbr0(W0)) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mCardNum,axiom,
% 1.10/1.19 ! [W0] :
% 1.10/1.19 ( aSet0(W0)
% 1.10/1.19 => ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
% 1.10/1.19 <=> isFinite0(W0) ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mCardEmpty,axiom,
% 1.10/1.19 ! [W0] :
% 1.10/1.19 ( aSet0(W0)
% 1.10/1.19 => ( sbrdtbr0(W0) = sz00
% 1.10/1.19 <=> W0 = slcrc0 ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mCardCons,axiom,
% 1.10/1.19 ! [W0] :
% 1.10/1.19 ( ( aSet0(W0)
% 1.10/1.19 & isFinite0(W0) )
% 1.10/1.19 => ! [W1] :
% 1.10/1.19 ( aElement0(W1)
% 1.10/1.19 => ( ~ aElementOf0(W1,W0)
% 1.10/1.19 => sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mCardDiff,axiom,
% 1.10/1.19 ! [W0] :
% 1.10/1.19 ( aSet0(W0)
% 1.10/1.19 => ! [W1] :
% 1.10/1.19 ( ( isFinite0(W0)
% 1.10/1.19 & aElementOf0(W1,W0) )
% 1.10/1.19 => szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ) ).
% 1.10/1.19
% 1.10/1.19 fof(mCardSub,axiom,
% 1.10/1.19 ! [W0] :
% 1.10/1.19 ( aSet0(W0)
% 1.10/1.19 => ! [W1] :
% 1.10/1.19 ( ( isFinite0(W0)
% 1.10/1.20 & aSubsetOf0(W1,W0) )
% 1.10/1.20 => sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mCardSubEx,axiom,
% 1.10/1.20 ! [W0,W1] :
% 1.10/1.20 ( ( aSet0(W0)
% 1.10/1.20 & aElementOf0(W1,szNzAzT0) )
% 1.10/1.20 => ( ( isFinite0(W0)
% 1.10/1.20 & sdtlseqdt0(W1,sbrdtbr0(W0)) )
% 1.10/1.20 => ? [W2] :
% 1.10/1.20 ( aSubsetOf0(W2,W0)
% 1.10/1.20 & sbrdtbr0(W2) = W1 ) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mDefMin,definition,
% 1.10/1.20 ! [W0] :
% 1.10/1.20 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.10/1.20 & W0 != slcrc0 )
% 1.10/1.20 => ! [W1] :
% 1.10/1.20 ( W1 = szmzizndt0(W0)
% 1.10/1.20 <=> ( aElementOf0(W1,W0)
% 1.10/1.20 & ! [W2] :
% 1.10/1.20 ( aElementOf0(W2,W0)
% 1.10/1.20 => sdtlseqdt0(W1,W2) ) ) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mDefMax,definition,
% 1.10/1.20 ! [W0] :
% 1.10/1.20 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.10/1.20 & isFinite0(W0)
% 1.10/1.20 & W0 != slcrc0 )
% 1.10/1.20 => ! [W1] :
% 1.10/1.20 ( W1 = szmzazxdt0(W0)
% 1.10/1.20 <=> ( aElementOf0(W1,W0)
% 1.10/1.20 & ! [W2] :
% 1.10/1.20 ( aElementOf0(W2,W0)
% 1.10/1.20 => sdtlseqdt0(W2,W1) ) ) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mMinMin,axiom,
% 1.10/1.20 ! [W0,W1] :
% 1.10/1.20 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.10/1.20 & aSubsetOf0(W1,szNzAzT0)
% 1.10/1.20 & W0 != slcrc0
% 1.10/1.20 & W1 != slcrc0 )
% 1.10/1.20 => ( ( aElementOf0(szmzizndt0(W0),W1)
% 1.10/1.20 & aElementOf0(szmzizndt0(W1),W0) )
% 1.10/1.20 => szmzizndt0(W0) = szmzizndt0(W1) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mDefSeg,definition,
% 1.10/1.20 ! [W0] :
% 1.10/1.20 ( aElementOf0(W0,szNzAzT0)
% 1.10/1.20 => ! [W1] :
% 1.10/1.20 ( W1 = slbdtrb0(W0)
% 1.10/1.20 <=> ( aSet0(W1)
% 1.10/1.20 & ! [W2] :
% 1.10/1.20 ( aElementOf0(W2,W1)
% 1.10/1.20 <=> ( aElementOf0(W2,szNzAzT0)
% 1.10/1.20 & sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mSegFin,axiom,
% 1.10/1.20 ! [W0] :
% 1.10/1.20 ( aElementOf0(W0,szNzAzT0)
% 1.10/1.20 => isFinite0(slbdtrb0(W0)) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mSegZero,axiom,
% 1.10/1.20 slbdtrb0(sz00) = slcrc0 ).
% 1.10/1.20
% 1.10/1.20 fof(mSegSucc,axiom,
% 1.10/1.20 ! [W0,W1] :
% 1.10/1.20 ( ( aElementOf0(W0,szNzAzT0)
% 1.10/1.20 & aElementOf0(W1,szNzAzT0) )
% 1.10/1.20 => ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1)))
% 1.10/1.20 <=> ( aElementOf0(W0,slbdtrb0(W1))
% 1.10/1.20 | W0 = W1 ) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mSegLess,axiom,
% 1.10/1.20 ! [W0,W1] :
% 1.10/1.20 ( ( aElementOf0(W0,szNzAzT0)
% 1.10/1.20 & aElementOf0(W1,szNzAzT0) )
% 1.10/1.20 => ( sdtlseqdt0(W0,W1)
% 1.10/1.20 <=> aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mFinSubSeg,axiom,
% 1.10/1.20 ! [W0] :
% 1.10/1.20 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.10/1.20 & isFinite0(W0) )
% 1.10/1.20 => ? [W1] :
% 1.10/1.20 ( aElementOf0(W1,szNzAzT0)
% 1.10/1.20 & aSubsetOf0(W0,slbdtrb0(W1)) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mCardSeg,axiom,
% 1.10/1.20 ! [W0] :
% 1.10/1.20 ( aElementOf0(W0,szNzAzT0)
% 1.10/1.20 => sbrdtbr0(slbdtrb0(W0)) = W0 ) ).
% 1.10/1.20
% 1.10/1.20 fof(mDefSel,definition,
% 1.10/1.20 ! [W0,W1] :
% 1.10/1.20 ( ( aSet0(W0)
% 1.10/1.20 & aElementOf0(W1,szNzAzT0) )
% 1.10/1.20 => ! [W2] :
% 1.10/1.20 ( W2 = slbdtsldtrb0(W0,W1)
% 1.10/1.20 <=> ( aSet0(W2)
% 1.10/1.20 & ! [W3] :
% 1.10/1.20 ( aElementOf0(W3,W2)
% 1.10/1.20 <=> ( aSubsetOf0(W3,W0)
% 1.10/1.20 & sbrdtbr0(W3) = W1 ) ) ) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mSelFSet,axiom,
% 1.10/1.20 ! [W0] :
% 1.10/1.20 ( ( aSet0(W0)
% 1.10/1.20 & isFinite0(W0) )
% 1.10/1.20 => ! [W1] :
% 1.10/1.20 ( aElementOf0(W1,szNzAzT0)
% 1.10/1.20 => isFinite0(slbdtsldtrb0(W0,W1)) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mSelNSet,axiom,
% 1.10/1.20 ! [W0] :
% 1.10/1.20 ( ( aSet0(W0)
% 1.10/1.20 & ~ isFinite0(W0) )
% 1.10/1.20 => ! [W1] :
% 1.10/1.20 ( aElementOf0(W1,szNzAzT0)
% 1.10/1.20 => slbdtsldtrb0(W0,W1) != slcrc0 ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mSelCSet,axiom,
% 1.10/1.20 ! [W0] :
% 1.10/1.20 ( ( aSet0(W0)
% 1.10/1.20 & isCountable0(W0) )
% 1.10/1.20 => ! [W1] :
% 1.10/1.20 ( ( aElementOf0(W1,szNzAzT0)
% 1.10/1.20 & W1 != sz00 )
% 1.10/1.20 => isCountable0(slbdtsldtrb0(W0,W1)) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mSelSub,axiom,
% 1.10/1.20 ! [W0] :
% 1.10/1.20 ( aElementOf0(W0,szNzAzT0)
% 1.10/1.20 => ! [W1,W2] :
% 1.10/1.20 ( ( aSet0(W1)
% 1.10/1.20 & aSet0(W2)
% 1.10/1.20 & W0 != sz00 )
% 1.10/1.20 => ( ( aSubsetOf0(slbdtsldtrb0(W1,W0),slbdtsldtrb0(W2,W0))
% 1.10/1.20 & slbdtsldtrb0(W1,W0) != slcrc0 )
% 1.10/1.20 => aSubsetOf0(W1,W2) ) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mSelExtra,axiom,
% 1.10/1.20 ! [W0,W1] :
% 1.10/1.20 ( ( aSet0(W0)
% 1.10/1.20 & aElementOf0(W1,szNzAzT0) )
% 1.10/1.20 => ! [W2] :
% 1.10/1.20 ( ( aSubsetOf0(W2,slbdtsldtrb0(W0,W1))
% 1.10/1.20 & isFinite0(W2) )
% 1.10/1.20 => ? [W3] :
% 1.10/1.20 ( aSubsetOf0(W3,W0)
% 1.10/1.20 & isFinite0(W3)
% 1.10/1.20 & aSubsetOf0(W2,slbdtsldtrb0(W3,W1)) ) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mFunSort,axiom,
% 1.10/1.20 ! [W0] :
% 1.10/1.20 ( aFunction0(W0)
% 1.10/1.20 => $true ) ).
% 1.10/1.20
% 1.10/1.20 fof(mDomSet,axiom,
% 1.10/1.20 ! [W0] :
% 1.10/1.20 ( aFunction0(W0)
% 1.10/1.20 => aSet0(szDzozmdt0(W0)) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mImgElm,axiom,
% 1.10/1.20 ! [W0] :
% 1.10/1.20 ( aFunction0(W0)
% 1.10/1.20 => ! [W1] :
% 1.10/1.20 ( aElementOf0(W1,szDzozmdt0(W0))
% 1.10/1.20 => aElement0(sdtlpdtrp0(W0,W1)) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mDefPtt,definition,
% 1.10/1.20 ! [W0,W1] :
% 1.10/1.20 ( ( aFunction0(W0)
% 1.10/1.20 & aElement0(W1) )
% 1.10/1.20 => ! [W2] :
% 1.10/1.20 ( W2 = sdtlbdtrb0(W0,W1)
% 1.10/1.20 <=> ( aSet0(W2)
% 1.10/1.20 & ! [W3] :
% 1.10/1.20 ( aElementOf0(W3,W2)
% 1.10/1.20 <=> ( aElementOf0(W3,szDzozmdt0(W0))
% 1.10/1.20 & sdtlpdtrp0(W0,W3) = W1 ) ) ) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mPttSet,axiom,
% 1.10/1.20 ! [W0,W1] :
% 1.10/1.20 ( ( aFunction0(W0)
% 1.10/1.20 & aElement0(W1) )
% 1.10/1.20 => aSubsetOf0(sdtlbdtrb0(W0,W1),szDzozmdt0(W0)) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mDefSImg,definition,
% 1.10/1.20 ! [W0] :
% 1.10/1.20 ( aFunction0(W0)
% 1.10/1.20 => ! [W1] :
% 1.10/1.20 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 1.10/1.20 => ! [W2] :
% 1.10/1.20 ( W2 = sdtlcdtrc0(W0,W1)
% 1.10/1.20 <=> ( aSet0(W2)
% 1.10/1.20 & ! [W3] :
% 1.10/1.20 ( aElementOf0(W3,W2)
% 1.10/1.20 <=> ? [W4] :
% 1.10/1.20 ( aElementOf0(W4,W1)
% 1.10/1.20 & sdtlpdtrp0(W0,W4) = W3 ) ) ) ) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mImgRng,axiom,
% 1.10/1.20 ! [W0] :
% 1.10/1.20 ( aFunction0(W0)
% 1.10/1.20 => ! [W1] :
% 1.10/1.20 ( aElementOf0(W1,szDzozmdt0(W0))
% 1.10/1.20 => aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mDefRst,definition,
% 1.10/1.20 ! [W0] :
% 1.10/1.20 ( aFunction0(W0)
% 1.10/1.20 => ! [W1] :
% 1.10/1.20 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 1.10/1.20 => ! [W2] :
% 1.10/1.20 ( W2 = sdtexdt0(W0,W1)
% 1.10/1.20 <=> ( aFunction0(W2)
% 1.10/1.20 & szDzozmdt0(W2) = W1
% 1.10/1.20 & ! [W3] :
% 1.10/1.20 ( aElementOf0(W3,W1)
% 1.10/1.20 => sdtlpdtrp0(W2,W3) = sdtlpdtrp0(W0,W3) ) ) ) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mImgCount,axiom,
% 1.10/1.20 ! [W0] :
% 1.10/1.20 ( aFunction0(W0)
% 1.10/1.20 => ! [W1] :
% 1.10/1.20 ( ( aSubsetOf0(W1,szDzozmdt0(W0))
% 1.10/1.20 & isCountable0(W1) )
% 1.10/1.20 => ( ! [W2,W3] :
% 1.10/1.20 ( ( aElementOf0(W2,szDzozmdt0(W0))
% 1.10/1.20 & aElementOf0(W3,szDzozmdt0(W0))
% 1.10/1.20 & W2 != W3 )
% 1.10/1.20 => sdtlpdtrp0(W0,W2) != sdtlpdtrp0(W0,W3) )
% 1.10/1.20 => isCountable0(sdtlcdtrc0(W0,W1)) ) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(mDirichlet,axiom,
% 1.10/1.20 ! [W0] :
% 1.10/1.20 ( aFunction0(W0)
% 1.10/1.20 => ( ( isCountable0(szDzozmdt0(W0))
% 1.10/1.20 & isFinite0(sdtlcdtrc0(W0,szDzozmdt0(W0))) )
% 1.10/1.20 => ( aElement0(szDzizrdt0(W0))
% 1.10/1.20 & isCountable0(sdtlbdtrb0(W0,szDzizrdt0(W0))) ) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(m__3291,hypothesis,
% 1.10/1.20 ( aSet0(xT)
% 1.10/1.20 & isFinite0(xT) ) ).
% 1.10/1.20
% 1.10/1.20 fof(m__3418,hypothesis,
% 1.10/1.20 aElementOf0(xK,szNzAzT0) ).
% 1.10/1.20
% 1.10/1.20 fof(m__3435,hypothesis,
% 1.10/1.20 ( aSubsetOf0(xS,szNzAzT0)
% 1.10/1.20 & isCountable0(xS) ) ).
% 1.10/1.20
% 1.10/1.20 fof(m__3453,hypothesis,
% 1.10/1.20 ( aFunction0(xc)
% 1.10/1.20 & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
% 1.10/1.20 & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ).
% 1.10/1.20
% 1.10/1.20 fof(m__3398,hypothesis,
% 1.10/1.20 ! [W0] :
% 1.10/1.20 ( aElementOf0(W0,szNzAzT0)
% 1.10/1.20 => ! [W1] :
% 1.10/1.20 ( ( aSubsetOf0(W1,szNzAzT0)
% 1.10/1.20 & isCountable0(W1) )
% 1.10/1.20 => ! [W2] :
% 1.10/1.20 ( ( aFunction0(W2)
% 1.10/1.20 & szDzozmdt0(W2) = slbdtsldtrb0(W1,W0)
% 1.10/1.20 & aSubsetOf0(sdtlcdtrc0(W2,szDzozmdt0(W2)),xT) )
% 1.10/1.20 => ( iLess0(W0,xK)
% 1.10/1.20 => ? [W3] :
% 1.10/1.20 ( aElementOf0(W3,xT)
% 1.10/1.20 & ? [W4] :
% 1.10/1.20 ( aSubsetOf0(W4,W1)
% 1.10/1.20 & isCountable0(W4)
% 1.10/1.20 & ! [W5] :
% 1.10/1.20 ( aElementOf0(W5,slbdtsldtrb0(W4,W0))
% 1.10/1.20 => sdtlpdtrp0(W2,W5) = W3 ) ) ) ) ) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(m__3462,hypothesis,
% 1.10/1.20 xK != sz00 ).
% 1.10/1.20
% 1.10/1.20 fof(m__3520,hypothesis,
% 1.10/1.20 xK != sz00 ).
% 1.10/1.20
% 1.10/1.20 fof(m__3533,hypothesis,
% 1.10/1.20 ( aElementOf0(xk,szNzAzT0)
% 1.10/1.20 & szszuzczcdt0(xk) = xK ) ).
% 1.10/1.20
% 1.10/1.20 fof(m__3623,hypothesis,
% 1.10/1.20 ( aFunction0(xN)
% 1.10/1.20 & szDzozmdt0(xN) = szNzAzT0
% 1.10/1.20 & sdtlpdtrp0(xN,sz00) = xS
% 1.10/1.20 & ! [W0] :
% 1.10/1.20 ( aElementOf0(W0,szNzAzT0)
% 1.10/1.20 => ( ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
% 1.10/1.20 & isCountable0(sdtlpdtrp0(xN,W0)) )
% 1.10/1.20 => ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 1.10/1.20 & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(m__3671,hypothesis,
% 1.10/1.20 ! [W0] :
% 1.10/1.20 ( aElementOf0(W0,szNzAzT0)
% 1.10/1.20 => ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
% 1.10/1.20 & isCountable0(sdtlpdtrp0(xN,W0)) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(m__3754,hypothesis,
% 1.10/1.20 ! [W0,W1] :
% 1.10/1.20 ( ( aElementOf0(W0,szNzAzT0)
% 1.10/1.20 & aElementOf0(W1,szNzAzT0) )
% 1.10/1.20 => ( sdtlseqdt0(W1,W0)
% 1.10/1.20 => aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) ).
% 1.10/1.20
% 1.10/1.20 fof(m__3856,hypothesis,
% 1.10/1.20 ( aElementOf0(xi,szNzAzT0)
% 1.10/1.20 & aElementOf0(xj,szNzAzT0) ) ).
% 1.10/1.20
% 1.10/1.20 fof(m__,conjecture,
% 1.10/1.20 ( xi != xj
% 1.10/1.20 => ( sdtlseqdt0(szszuzczcdt0(xj),xi)
% 1.10/1.20 | sdtlseqdt0(szszuzczcdt0(xi),xj) ) ) ).
% 1.10/1.20
% 1.10/1.20 %------------------------------------------------------------------------------
% 1.10/1.20 %-------------------------------------------
% 1.10/1.20 % Proof found
% 1.10/1.20 % SZS status Theorem for theBenchmark
% 1.10/1.20 % SZS output start Proof
% 1.10/1.20 %ClaNum:254(EqnAxiom:88)
% 1.10/1.20 %VarNum:1146(SingletonVarNum:332)
% 1.10/1.20 %MaxLitNum:9
% 1.10/1.20 %MaxfuncDepth:3
% 1.10/1.20 %SharedTerms:44
% 1.10/1.20 %goalClause: 111 112 113
% 1.10/1.20 %singleGoalClaCount:3
% 1.10/1.20 [92]P1(a37)
% 1.10/1.20 [93]P1(a42)
% 1.10/1.20 [94]P5(a33)
% 1.10/1.20 [95]P5(a42)
% 1.10/1.20 [96]P6(a37)
% 1.10/1.20 [97]P6(a43)
% 1.10/1.20 [98]P2(a44)
% 1.10/1.20 [99]P2(a41)
% 1.10/1.20 [101]P3(a3,a37)
% 1.10/1.20 [102]P3(a40,a37)
% 1.10/1.20 [103]P3(a1,a37)
% 1.10/1.20 [104]P3(a45,a37)
% 1.10/1.20 [105]P3(a46,a37)
% 1.10/1.20 [106]P7(a43,a37)
% 1.10/1.20 [110]~E(a3,a40)
% 1.10/1.20 [111]~E(a46,a45)
% 1.10/1.20 [89]E(f2(a1),a40)
% 1.10/1.20 [90]E(f4(a3),a33)
% 1.10/1.20 [91]E(f35(a41),a37)
% 1.10/1.20 [100]E(f5(a41,a3),a43)
% 1.10/1.20 [107]E(f34(a43,a40),f35(a44))
% 1.10/1.20 [112]~P9(f2(a45),a46)
% 1.10/1.20 [113]~P9(f2(a46),a45)
% 1.10/1.20 [108]P7(f6(a44,f35(a44)),a42)
% 1.10/1.20 [114]P1(x1141)+~E(x1141,a33)
% 1.10/1.20 [121]~P1(x1211)+P7(x1211,x1211)
% 1.10/1.20 [128]~P3(x1281,a37)+P9(a3,x1281)
% 1.10/1.20 [134]P9(x1341,x1341)+~P3(x1341,a37)
% 1.10/1.20 [118]~P2(x1181)+P1(f35(x1181))
% 1.10/1.20 [119]~P1(x1191)+P4(f7(x1191))
% 1.10/1.20 [123]~P3(x1231,a37)+~E(f2(x1231),a3)
% 1.10/1.20 [124]~P3(x1241,a37)+~E(f2(x1241),x1241)
% 1.10/1.20 [126]~P3(x1261,a37)+P5(f4(x1261))
% 1.10/1.20 [135]~P3(x1351,a37)+P3(f2(x1351),a37)
% 1.10/1.20 [136]~P3(x1361,a37)+P9(x1361,f2(x1361))
% 1.10/1.20 [137]~P3(x1371,a37)+P8(x1371,f2(x1371))
% 1.10/1.20 [146]~P3(x1461,a37)+P6(f5(a41,x1461))
% 1.10/1.20 [147]~P3(x1471,a37)+~P9(f2(x1471),a3)
% 1.10/1.20 [155]~P3(x1551,a37)+P7(f5(a41,x1551),a37)
% 1.10/1.20 [127]~P3(x1271,a37)+E(f7(f4(x1271)),x1271)
% 1.10/1.20 [122]~P3(x1222,x1221)+~E(x1221,a33)
% 1.10/1.20 [117]~P1(x1171)+~P6(x1171)+~E(x1171,a33)
% 1.10/1.20 [120]~P5(x1201)+~P6(x1201)+~P1(x1201)
% 1.10/1.20 [115]~P1(x1151)+~E(x1151,a33)+E(f7(x1151),a3)
% 1.10/1.20 [116]~P1(x1161)+E(x1161,a33)+~E(f7(x1161),a3)
% 1.10/1.20 [125]~P1(x1251)+P3(f8(x1251),x1251)+E(x1251,a33)
% 1.10/1.20 [131]~P1(x1311)+~P5(x1311)+P3(f7(x1311),a37)
% 1.10/1.20 [138]~P3(x1381,a37)+E(x1381,a3)+P3(f19(x1381),a37)
% 1.10/1.20 [139]~P1(x1391)+P5(x1391)+~P3(f7(x1391),a37)
% 1.10/1.20 [145]~P5(x1451)+~P7(x1451,a37)+P3(f9(x1451),a37)
% 1.10/1.20 [129]~P3(x1291,a37)+E(x1291,a3)+E(f2(f19(x1291)),x1291)
% 1.10/1.20 [157]~P5(x1571)+~P7(x1571,a37)+P7(x1571,f4(f9(x1571)))
% 1.10/1.20 [132]~P7(x1321,x1322)+P1(x1321)+~P1(x1322)
% 1.10/1.20 [133]~P3(x1331,x1332)+P4(x1331)+~P1(x1332)
% 1.10/1.20 [130]P1(x1301)+~P3(x1302,a37)+~E(x1301,f4(x1302))
% 1.10/1.20 [158]~P4(x1582)+~P2(x1581)+P7(f29(x1581,x1582),f35(x1581))
% 1.10/1.20 [174]~P2(x1741)+~P3(x1742,f35(x1741))+P4(f5(x1741,x1742))
% 1.10/1.20 [176]~P1(x1761)+~P3(x1762,x1761)+E(f31(f32(x1761,x1762),x1762),x1761)
% 1.10/1.20 [212]~P2(x2121)+~P3(x2122,f35(x2121))+P3(f5(x2121,x2122),f6(x2121,f35(x2121)))
% 1.10/1.20 [202]~P2(x2021)+~P6(f35(x2021))+P4(f36(x2021))+~P5(f6(x2021,f35(x2021)))
% 1.10/1.20 [220]~P2(x2201)+~P6(f35(x2201))+~P5(f6(x2201,f35(x2201)))+P6(f29(x2201,f36(x2201)))
% 1.10/1.20 [223]~P3(x2231,a37)+~P7(f5(a41,x2231),a37)+~P6(f5(a41,x2231))+P6(f5(a41,f2(x2231)))
% 1.10/1.20 [242]~P3(x2421,a37)+~P7(f5(a41,x2421),a37)+~P6(f5(a41,x2421))+P7(f5(a41,f2(x2421)),f32(f5(a41,x2421),f38(f5(a41,x2421))))
% 1.10/1.20 [140]~P5(x1402)+~P7(x1401,x1402)+P5(x1401)+~P1(x1402)
% 1.10/1.20 [144]P3(x1442,x1441)+~E(x1442,f38(x1441))+~P7(x1441,a37)+E(x1441,a33)
% 1.10/1.20 [149]~P1(x1491)+~P4(x1492)+~P5(x1491)+P5(f31(x1491,x1492))
% 1.10/1.20 [150]~P1(x1501)+~P4(x1502)+~P5(x1501)+P5(f32(x1501,x1502))
% 1.10/1.20 [151]~P1(x1511)+~P4(x1512)+~P6(x1511)+P6(f31(x1511,x1512))
% 1.10/1.20 [152]~P1(x1521)+~P4(x1522)+~P6(x1521)+P6(f32(x1521,x1522))
% 1.10/1.20 [153]~P1(x1531)+P5(x1531)+~P3(x1532,a37)+~E(f34(x1531,x1532),a33)
% 1.10/1.20 [156]E(x1561,x1562)+~E(f2(x1561),f2(x1562))+~P3(x1562,a37)+~P3(x1561,a37)
% 1.10/1.20 [161]~P1(x1612)+~P5(x1612)+~P7(x1611,x1612)+P9(f7(x1611),f7(x1612))
% 1.10/1.20 [164]~P1(x1641)+~P5(x1641)+~P3(x1642,a37)+P5(f34(x1641,x1642))
% 1.10/1.20 [173]~P1(x1731)+~P1(x1732)+P7(x1731,x1732)+P3(f20(x1732,x1731),x1731)
% 1.10/1.20 [180]P9(x1801,x1802)+P9(f2(x1802),x1801)+~P3(x1802,a37)+~P3(x1801,a37)
% 1.10/1.20 [192]~P9(x1921,x1922)+~P3(x1922,a37)+~P3(x1921,a37)+P7(f4(x1921),f4(x1922))
% 1.10/1.20 [193]~P9(x1931,x1932)+~P3(x1932,a37)+~P3(x1931,a37)+P9(f2(x1931),f2(x1932))
% 1.10/1.20 [195]~P1(x1951)+~P1(x1952)+P7(x1951,x1952)+~P3(f20(x1952,x1951),x1952)
% 1.10/1.20 [197]P9(x1971,x1972)+~P3(x1972,a37)+~P3(x1971,a37)+~P7(f4(x1971),f4(x1972))
% 1.10/1.20 [198]P9(x1981,x1982)+~P3(x1982,a37)+~P3(x1981,a37)+~P9(f2(x1981),f2(x1982))
% 1.10/1.20 [216]~P9(x2162,x2161)+~P3(x2162,a37)+~P3(x2161,a37)+P7(f5(a41,x2161),f5(a41,x2162))
% 1.10/1.20 [175]P3(x1752,x1751)+~P1(x1751)+~P4(x1752)+E(f32(f31(x1751,x1752),x1752),x1751)
% 1.10/1.20 [183]~E(x1831,x1832)+~P3(x1832,a37)+~P3(x1831,a37)+P3(x1831,f4(f2(x1832)))
% 1.10/1.20 [204]~P3(x2042,a37)+~P3(x2041,a37)+~P3(x2041,f4(x2042))+P3(x2041,f4(f2(x2042)))
% 1.10/1.20 [203]~P1(x2031)+~P5(x2031)+~P3(x2032,x2031)+E(f2(f7(f32(x2031,x2032))),f7(x2031))
% 1.10/1.20 [168]~P1(x1682)+~P7(x1683,x1682)+P3(x1681,x1682)+~P3(x1681,x1683)
% 1.10/1.20 [141]~P1(x1412)+~P4(x1413)+P1(x1411)+~E(x1411,f31(x1412,x1413))
% 1.10/1.20 [142]~P1(x1422)+~P4(x1423)+P1(x1421)+~E(x1421,f32(x1422,x1423))
% 1.10/1.20 [143]~P4(x1433)+~P2(x1432)+P1(x1431)+~E(x1431,f29(x1432,x1433))
% 1.10/1.20 [154]~P1(x1542)+P1(x1541)+~P3(x1543,a37)+~E(x1541,f34(x1542,x1543))
% 1.10/1.20 [162]~P3(x1621,x1622)+~P3(x1623,a37)+P3(x1621,a37)+~E(x1622,f4(x1623))
% 1.10/1.20 [170]~P2(x1702)+P1(x1701)+~P7(x1703,f35(x1702))+~E(x1701,f6(x1702,x1703))
% 1.10/1.20 [171]~P2(x1712)+P2(x1711)+~P7(x1713,f35(x1712))+~E(x1711,f30(x1712,x1713))
% 1.10/1.20 [172]~P2(x1723)+~P7(x1722,f35(x1723))+E(f35(x1721),x1722)+~E(x1721,f30(x1723,x1722))
% 1.10/1.20 [177]~P3(x1771,x1773)+~P3(x1772,a37)+P9(f2(x1771),x1772)+~E(x1773,f4(x1772))
% 1.10/1.20 [159]~P1(x1592)+~P1(x1591)+~P7(x1592,x1591)+~P7(x1591,x1592)+E(x1591,x1592)
% 1.10/1.21 [190]~P9(x1902,x1901)+~P9(x1901,x1902)+E(x1901,x1902)+~P3(x1902,a37)+~P3(x1901,a37)
% 1.10/1.21 [148]~P5(x1481)+P3(x1482,x1481)+~E(x1482,f39(x1481))+~P7(x1481,a37)+E(x1481,a33)
% 1.10/1.21 [167]~P1(x1672)+~P6(x1672)+~P3(x1671,a37)+E(x1671,a3)+P6(f34(x1672,x1671))
% 1.10/1.21 [194]~P3(x1942,x1941)+P3(f25(x1941,x1942),x1941)+~P7(x1941,a37)+E(x1941,a33)+E(x1942,f38(x1941))
% 1.10/1.21 [205]~P1(x2051)+~P5(x2051)+~P3(x2052,a37)+~P9(x2052,f7(x2051))+P7(f26(x2051,x2052),x2051)
% 1.10/1.21 [207]~P1(x2071)+P3(f28(x2072,x2071),x2071)+~P3(x2072,a37)+E(x2071,f4(x2072))+P3(f28(x2072,x2071),a37)
% 1.10/1.21 [208]~P3(x2082,x2081)+~P7(x2081,a37)+~P9(x2082,f25(x2081,x2082))+E(x2081,a33)+E(x2082,f38(x2081))
% 1.10/1.21 [215]~P6(x2152)+~P2(x2151)+~E(f10(x2151,x2152),f11(x2151,x2152))+~P7(x2152,f35(x2151))+P6(f6(x2151,x2152))
% 1.10/1.21 [217]~P6(x2172)+~P2(x2171)+P3(f11(x2171,x2172),f35(x2171))+~P7(x2172,f35(x2171))+P6(f6(x2171,x2172))
% 1.10/1.21 [218]~P6(x2182)+~P2(x2181)+P3(f10(x2181,x2182),f35(x2181))+~P7(x2182,f35(x2181))+P6(f6(x2181,x2182))
% 1.10/1.21 [182]P3(x1822,x1821)+~P1(x1821)+~P4(x1822)+~P5(x1821)+E(f7(f31(x1821,x1822)),f2(f7(x1821)))
% 1.10/1.21 [201]~P1(x2011)+~P5(x2011)+~P3(x2012,a37)+~P9(x2012,f7(x2011))+E(f7(f26(x2011,x2012)),x2012)
% 1.10/1.21 [210]E(x2101,x2102)+P3(x2101,f4(x2102))+~P3(x2102,a37)+~P3(x2101,a37)+~P3(x2101,f4(f2(x2102)))
% 1.10/1.21 [221]~P1(x2211)+P3(f28(x2212,x2211),x2211)+~P3(x2212,a37)+E(x2211,f4(x2212))+P9(f2(f28(x2212,x2211)),x2212)
% 1.10/1.21 [222]~P6(x2222)+~P2(x2221)+~P7(x2222,f35(x2221))+P6(f6(x2221,x2222))+E(f5(x2221,f10(x2221,x2222)),f5(x2221,f11(x2221,x2222)))
% 1.10/1.21 [169]~P3(x1693,x1691)+P9(x1692,x1693)+~E(x1692,f38(x1691))+~P7(x1691,a37)+E(x1691,a33)
% 1.10/1.21 [196]P3(x1961,x1962)+~P3(x1963,a37)+~P3(x1961,a37)+~P9(f2(x1961),x1963)+~E(x1962,f4(x1963))
% 1.10/1.21 [226]~P1(x2261)+~P5(x2263)+~P3(x2262,a37)+~P7(x2263,f34(x2261,x2262))+P5(f13(x2261,x2262,x2263))
% 1.10/1.21 [227]~P1(x2271)+~P5(x2273)+~P3(x2272,a37)+~P7(x2273,f34(x2271,x2272))+P7(f13(x2271,x2272,x2273),x2271)
% 1.10/1.21 [243]~P1(x2432)+~P5(x2431)+~P3(x2433,a37)+~P7(x2431,f34(x2432,x2433))+P7(x2431,f34(f13(x2432,x2433,x2431),x2433))
% 1.10/1.21 [163]~P1(x1634)+~P4(x1632)+~P3(x1631,x1633)+~E(x1631,x1632)+~E(x1633,f32(x1634,x1632))
% 1.10/1.21 [165]~P1(x1653)+~P4(x1654)+~P3(x1651,x1652)+P4(x1651)+~E(x1652,f31(x1653,x1654))
% 1.10/1.21 [166]~P1(x1663)+~P4(x1664)+~P3(x1661,x1662)+P4(x1661)+~E(x1662,f32(x1663,x1664))
% 1.10/1.21 [179]~P1(x1792)+~P4(x1794)+~P3(x1791,x1793)+P3(x1791,x1792)+~E(x1793,f32(x1792,x1794))
% 1.10/1.21 [181]~P4(x1813)+~P2(x1811)+~P3(x1812,x1814)+E(f5(x1811,x1812),x1813)+~E(x1814,f29(x1811,x1813))
% 1.10/1.21 [185]~P1(x1854)+~P3(x1851,x1853)+~P3(x1852,a37)+E(f7(x1851),x1852)+~E(x1853,f34(x1854,x1852))
% 1.10/1.21 [187]~P4(x1874)+~P2(x1872)+~P3(x1871,x1873)+P3(x1871,f35(x1872))+~E(x1873,f29(x1872,x1874))
% 1.10/1.21 [191]~P1(x1912)+~P3(x1911,x1913)+P7(x1911,x1912)+~P3(x1914,a37)+~E(x1913,f34(x1912,x1914))
% 1.10/1.21 [209]~P2(x2093)+~P3(x2092,x2094)+~P7(x2094,f35(x2093))+E(f5(x2091,x2092),f5(x2093,x2092))+~E(x2091,f30(x2093,x2094))
% 1.10/1.21 [249]~P2(x2491)+~P3(x2494,x2493)+~E(x2493,f6(x2491,x2492))+~P7(x2492,f35(x2491))+P3(f17(x2491,x2492,x2493,x2494),x2492)
% 1.10/1.21 [250]~P2(x2501)+~P3(x2504,x2503)+~E(x2503,f6(x2501,x2502))+~P7(x2502,f35(x2501))+E(f5(x2501,f17(x2501,x2502,x2503,x2504)),x2504)
% 1.10/1.21 [200]~P5(x2001)+~P3(x2002,x2001)+P3(f27(x2001,x2002),x2001)+~P7(x2001,a37)+E(x2001,a33)+E(x2002,f39(x2001))
% 1.10/1.21 [213]~P5(x2131)+~P3(x2132,x2131)+~P7(x2131,a37)+~P9(f27(x2131,x2132),x2132)+E(x2131,a33)+E(x2132,f39(x2131))
% 1.10/1.21 [231]~P1(x2311)+~P3(x2312,a37)+~P3(f28(x2312,x2311),x2311)+E(x2311,f4(x2312))+~P3(f28(x2312,x2311),a37)+~P9(f2(f28(x2312,x2311)),x2312)
% 1.10/1.21 [186]~P1(x1862)+~P1(x1861)+~P7(x1863,x1862)+~P7(x1861,x1863)+P7(x1861,x1862)+~P1(x1863)
% 1.10/1.21 [214]~P9(x2141,x2143)+P9(x2141,x2142)+~P9(x2143,x2142)+~P3(x2142,a37)+~P3(x2143,a37)+~P3(x2141,a37)
% 1.10/1.21 [178]~P5(x1781)+~P3(x1782,x1781)+P9(x1782,x1783)+~E(x1783,f39(x1781))+~P7(x1781,a37)+E(x1781,a33)
% 1.10/1.21 [225]~P2(x2251)+~P2(x2252)+P3(f12(x2252,x2253,x2251),x2253)+~E(f35(x2251),x2253)+~P7(x2253,f35(x2252))+E(x2251,f30(x2252,x2253))
% 1.10/1.21 [228]~P1(x2281)+~P1(x2282)+~P4(x2283)+P3(f23(x2282,x2283,x2281),x2281)+~E(f23(x2282,x2283,x2281),x2283)+E(x2281,f32(x2282,x2283))
% 1.10/1.21 [229]~P1(x2291)+~P1(x2292)+~P4(x2293)+P3(f24(x2292,x2293,x2291),x2291)+E(x2291,f31(x2292,x2293))+P4(f24(x2292,x2293,x2291))
% 1.10/1.21 [230]~P1(x2301)+~P1(x2302)+~P4(x2303)+P3(f23(x2302,x2303,x2301),x2301)+E(x2301,f32(x2302,x2303))+P4(f23(x2302,x2303,x2301))
% 1.10/1.21 [232]~P1(x2321)+~P1(x2322)+~P4(x2323)+P3(f23(x2322,x2323,x2321),x2321)+P3(f23(x2322,x2323,x2321),x2322)+E(x2321,f32(x2322,x2323))
% 1.10/1.21 [235]~P1(x2351)+~P4(x2353)+~P2(x2352)+P3(f15(x2352,x2353,x2351),x2351)+P3(f15(x2352,x2353,x2351),f35(x2352))+E(x2351,f29(x2352,x2353))
% 1.10/1.21 [236]~P1(x2361)+~P1(x2362)+P3(f14(x2362,x2363,x2361),x2361)+P7(f14(x2362,x2363,x2361),x2362)+~P3(x2363,a37)+E(x2361,f34(x2362,x2363))
% 1.10/1.21 [239]~P1(x2391)+~P2(x2392)+P3(f16(x2392,x2393,x2391),x2391)+P3(f18(x2392,x2393,x2391),x2393)+~P7(x2393,f35(x2392))+E(x2391,f6(x2392,x2393))
% 1.10/1.21 [233]~P1(x2331)+~P4(x2333)+~P2(x2332)+P3(f15(x2332,x2333,x2331),x2331)+E(x2331,f29(x2332,x2333))+E(f5(x2332,f15(x2332,x2333,x2331)),x2333)
% 1.10/1.21 [234]~P1(x2341)+~P1(x2342)+P3(f14(x2342,x2343,x2341),x2341)+~P3(x2343,a37)+E(x2341,f34(x2342,x2343))+E(f7(f14(x2342,x2343,x2341)),x2343)
% 1.10/1.21 [244]~P1(x2441)+~P2(x2442)+P3(f16(x2442,x2443,x2441),x2441)+~P7(x2443,f35(x2442))+E(x2441,f6(x2442,x2443))+E(f5(x2442,f18(x2442,x2443,x2441)),f16(x2442,x2443,x2441))
% 1.10/1.21 [246]~P2(x2462)+~P2(x2461)+~E(f35(x2461),x2463)+~P7(x2463,f35(x2462))+E(x2461,f30(x2462,x2463))+~E(f5(x2461,f12(x2462,x2463,x2461)),f5(x2462,f12(x2462,x2463,x2461)))
% 1.10/1.21 [160]~P1(x1604)+~P4(x1603)+~P4(x1601)+P3(x1601,x1602)+~E(x1601,x1603)+~E(x1602,f31(x1604,x1603))
% 1.10/1.21 [184]~P1(x1843)+~P4(x1842)+~P3(x1841,x1844)+E(x1841,x1842)+P3(x1841,x1843)+~E(x1844,f31(x1843,x1842))
% 1.10/1.21 [188]~P1(x1883)+~P4(x1884)+~P4(x1881)+~P3(x1881,x1883)+P3(x1881,x1882)+~E(x1882,f31(x1883,x1884))
% 1.10/1.21 [199]~P1(x1994)+~P7(x1991,x1994)+P3(x1991,x1992)+~P3(x1993,a37)+~E(x1992,f34(x1994,x1993))+~E(f7(x1991),x1993)
% 1.10/1.21 [206]~P4(x2064)+~P2(x2063)+P3(x2061,x2062)+~E(f5(x2063,x2061),x2064)+~P3(x2061,f35(x2063))+~E(x2062,f29(x2063,x2064))
% 1.10/1.21 [219]~P2(x2193)+~P3(x2195,x2194)+P3(x2191,x2192)+~P7(x2194,f35(x2193))+~E(x2192,f6(x2193,x2194))+~E(f5(x2193,x2195),x2191)
% 1.10/1.21 [211]E(f38(x2112),f38(x2111))+~P7(x2111,a37)+~P7(x2112,a37)+~P3(f38(x2111),x2112)+~P3(f38(x2112),x2111)+E(x2111,a33)+E(x2112,a33)
% 1.10/1.21 [224]~P1(x2243)+~P1(x2242)+P7(x2242,x2243)+~P3(x2241,a37)+~P7(f34(x2242,x2241),f34(x2243,x2241))+E(x2241,a3)+E(f34(x2242,x2241),a33)
% 1.10/1.21 [241]~P1(x2411)+~P1(x2412)+~P4(x2413)+E(f24(x2412,x2413,x2411),x2413)+P3(f24(x2412,x2413,x2411),x2411)+P3(f24(x2412,x2413,x2411),x2412)+E(x2411,f31(x2412,x2413))
% 1.10/1.21 [247]~P1(x2471)+~P1(x2472)+~P4(x2473)+~E(f24(x2472,x2473,x2471),x2473)+~P3(f24(x2472,x2473,x2471),x2471)+E(x2471,f31(x2472,x2473))+~P4(f24(x2472,x2473,x2471))
% 1.10/1.21 [248]~P1(x2481)+~P1(x2482)+~P4(x2483)+~P3(f24(x2482,x2483,x2481),x2481)+~P3(f24(x2482,x2483,x2481),x2482)+E(x2481,f31(x2482,x2483))+~P4(f24(x2482,x2483,x2481))
% 1.10/1.21 [251]~P1(x2511)+~P1(x2512)+~P3(x2513,a37)+~P3(f14(x2512,x2513,x2511),x2511)+~P7(f14(x2512,x2513,x2511),x2512)+E(x2511,f34(x2512,x2513))+~E(f7(f14(x2512,x2513,x2511)),x2513)
% 1.10/1.21 [252]~P1(x2521)+~P4(x2523)+~P2(x2522)+~P3(f15(x2522,x2523,x2521),x2521)+~P3(f15(x2522,x2523,x2521),f35(x2522))+E(x2521,f29(x2522,x2523))+~E(f5(x2522,f15(x2522,x2523,x2521)),x2523)
% 1.10/1.21 [189]~P1(x1894)+~P4(x1892)+~P4(x1891)+~P3(x1891,x1894)+E(x1891,x1892)+P3(x1891,x1893)+~E(x1893,f32(x1894,x1892))
% 1.10/1.21 [245]~P1(x2451)+~P2(x2452)+~P3(x2454,x2453)+~P7(x2453,f35(x2452))+~P3(f16(x2452,x2453,x2451),x2451)+~E(f5(x2452,x2454),f16(x2452,x2453,x2451))+E(x2451,f6(x2452,x2453))
% 1.10/1.21 [253]~P1(x2531)+~P1(x2532)+~P4(x2533)+E(f23(x2532,x2533,x2531),x2533)+~P3(f23(x2532,x2533,x2531),x2531)+~P3(f23(x2532,x2533,x2531),x2532)+E(x2531,f32(x2532,x2533))+~P4(f23(x2532,x2533,x2531))
% 1.10/1.21 [237]~P6(x2372)+~P2(x2373)+~E(f35(x2373),f34(x2372,x2371))+~P3(x2371,a37)+~P7(x2372,a37)+~P8(x2371,a40)+P6(f21(x2371,x2372,x2373))+~P7(f6(x2373,f35(x2373)),a42)
% 1.10/1.21 [238]~P6(x2382)+~P2(x2383)+~E(f35(x2383),f34(x2382,x2381))+~P3(x2381,a37)+~P7(x2382,a37)+~P8(x2381,a40)+P3(f22(x2381,x2382,x2383),a42)+~P7(f6(x2383,f35(x2383)),a42)
% 1.10/1.21 [240]~P6(x2402)+~P2(x2403)+~E(f35(x2403),f34(x2402,x2401))+~P3(x2401,a37)+~P7(x2402,a37)+~P8(x2401,a40)+P7(f21(x2401,x2402,x2403),x2402)+~P7(f6(x2403,f35(x2403)),a42)
% 1.10/1.21 [254]~P6(x2544)+~P2(x2541)+~E(f35(x2541),f34(x2544,x2543))+~P3(x2543,a37)+~P7(x2544,a37)+~P8(x2543,a40)+E(f5(x2541,x2542),f22(x2543,x2544,x2541))+~P3(x2542,f34(f21(x2543,x2544,x2541),x2543))+~P7(f6(x2541,f35(x2541)),a42)
% 1.10/1.21 %EqnAxiom
% 1.10/1.21 [1]E(x11,x11)
% 1.10/1.21 [2]E(x22,x21)+~E(x21,x22)
% 1.10/1.21 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.10/1.21 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 1.10/1.21 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 1.10/1.21 [6]~E(x61,x62)+E(f35(x61),f35(x62))
% 1.10/1.21 [7]~E(x71,x72)+E(f5(x71,x73),f5(x72,x73))
% 1.10/1.21 [8]~E(x81,x82)+E(f5(x83,x81),f5(x83,x82))
% 1.10/1.21 [9]~E(x91,x92)+E(f34(x91,x93),f34(x92,x93))
% 1.10/1.21 [10]~E(x101,x102)+E(f34(x103,x101),f34(x103,x102))
% 1.10/1.21 [11]~E(x111,x112)+E(f16(x111,x113,x114),f16(x112,x113,x114))
% 1.10/1.21 [12]~E(x121,x122)+E(f16(x123,x121,x124),f16(x123,x122,x124))
% 1.10/1.21 [13]~E(x131,x132)+E(f16(x133,x134,x131),f16(x133,x134,x132))
% 1.10/1.21 [14]~E(x141,x142)+E(f11(x141,x143),f11(x142,x143))
% 1.10/1.21 [15]~E(x151,x152)+E(f11(x153,x151),f11(x153,x152))
% 1.10/1.21 [16]~E(x161,x162)+E(f6(x161,x163),f6(x162,x163))
% 1.10/1.21 [17]~E(x171,x172)+E(f6(x173,x171),f6(x173,x172))
% 1.10/1.21 [18]~E(x181,x182)+E(f31(x181,x183),f31(x182,x183))
% 1.10/1.21 [19]~E(x191,x192)+E(f31(x193,x191),f31(x193,x192))
% 1.10/1.21 [20]~E(x201,x202)+E(f21(x201,x203,x204),f21(x202,x203,x204))
% 1.10/1.21 [21]~E(x211,x212)+E(f21(x213,x211,x214),f21(x213,x212,x214))
% 1.10/1.21 [22]~E(x221,x222)+E(f21(x223,x224,x221),f21(x223,x224,x222))
% 1.10/1.21 [23]~E(x231,x232)+E(f7(x231),f7(x232))
% 1.10/1.21 [24]~E(x241,x242)+E(f12(x241,x243,x244),f12(x242,x243,x244))
% 1.10/1.21 [25]~E(x251,x252)+E(f12(x253,x251,x254),f12(x253,x252,x254))
% 1.10/1.21 [26]~E(x261,x262)+E(f12(x263,x264,x261),f12(x263,x264,x262))
% 1.10/1.21 [27]~E(x271,x272)+E(f38(x271),f38(x272))
% 1.10/1.21 [28]~E(x281,x282)+E(f14(x281,x283,x284),f14(x282,x283,x284))
% 1.10/1.21 [29]~E(x291,x292)+E(f14(x293,x291,x294),f14(x293,x292,x294))
% 1.10/1.21 [30]~E(x301,x302)+E(f14(x303,x304,x301),f14(x303,x304,x302))
% 1.10/1.21 [31]~E(x311,x312)+E(f23(x311,x313,x314),f23(x312,x313,x314))
% 1.10/1.21 [32]~E(x321,x322)+E(f23(x323,x321,x324),f23(x323,x322,x324))
% 1.10/1.21 [33]~E(x331,x332)+E(f23(x333,x334,x331),f23(x333,x334,x332))
% 1.10/1.21 [34]~E(x341,x342)+E(f18(x341,x343,x344),f18(x342,x343,x344))
% 1.10/1.21 [35]~E(x351,x352)+E(f18(x353,x351,x354),f18(x353,x352,x354))
% 1.10/1.21 [36]~E(x361,x362)+E(f18(x363,x364,x361),f18(x363,x364,x362))
% 1.10/1.21 [37]~E(x371,x372)+E(f8(x371),f8(x372))
% 1.10/1.21 [38]~E(x381,x382)+E(f17(x381,x383,x384,x385),f17(x382,x383,x384,x385))
% 1.10/1.21 [39]~E(x391,x392)+E(f17(x393,x391,x394,x395),f17(x393,x392,x394,x395))
% 1.10/1.21 [40]~E(x401,x402)+E(f17(x403,x404,x401,x405),f17(x403,x404,x402,x405))
% 1.10/1.21 [41]~E(x411,x412)+E(f17(x413,x414,x415,x411),f17(x413,x414,x415,x412))
% 1.10/1.21 [42]~E(x421,x422)+E(f36(x421),f36(x422))
% 1.10/1.21 [43]~E(x431,x432)+E(f32(x431,x433),f32(x432,x433))
% 1.10/1.21 [44]~E(x441,x442)+E(f32(x443,x441),f32(x443,x442))
% 1.10/1.21 [45]~E(x451,x452)+E(f19(x451),f19(x452))
% 1.10/1.21 [46]~E(x461,x462)+E(f24(x461,x463,x464),f24(x462,x463,x464))
% 1.10/1.21 [47]~E(x471,x472)+E(f24(x473,x471,x474),f24(x473,x472,x474))
% 1.10/1.21 [48]~E(x481,x482)+E(f24(x483,x484,x481),f24(x483,x484,x482))
% 1.10/1.21 [49]~E(x491,x492)+E(f29(x491,x493),f29(x492,x493))
% 1.10/1.21 [50]~E(x501,x502)+E(f29(x503,x501),f29(x503,x502))
% 1.10/1.21 [51]~E(x511,x512)+E(f28(x511,x513),f28(x512,x513))
% 1.10/1.21 [52]~E(x521,x522)+E(f28(x523,x521),f28(x523,x522))
% 1.10/1.21 [53]~E(x531,x532)+E(f10(x531,x533),f10(x532,x533))
% 1.10/1.21 [54]~E(x541,x542)+E(f10(x543,x541),f10(x543,x542))
% 1.10/1.21 [55]~E(x551,x552)+E(f22(x551,x553,x554),f22(x552,x553,x554))
% 1.10/1.21 [56]~E(x561,x562)+E(f22(x563,x561,x564),f22(x563,x562,x564))
% 1.10/1.21 [57]~E(x571,x572)+E(f22(x573,x574,x571),f22(x573,x574,x572))
% 1.10/1.21 [58]~E(x581,x582)+E(f15(x581,x583,x584),f15(x582,x583,x584))
% 1.10/1.21 [59]~E(x591,x592)+E(f15(x593,x591,x594),f15(x593,x592,x594))
% 1.10/1.21 [60]~E(x601,x602)+E(f15(x603,x604,x601),f15(x603,x604,x602))
% 1.10/1.21 [61]~E(x611,x612)+E(f25(x611,x613),f25(x612,x613))
% 1.10/1.21 [62]~E(x621,x622)+E(f25(x623,x621),f25(x623,x622))
% 1.10/1.21 [63]~E(x631,x632)+E(f30(x631,x633),f30(x632,x633))
% 1.10/1.21 [64]~E(x641,x642)+E(f30(x643,x641),f30(x643,x642))
% 1.10/1.21 [65]~E(x651,x652)+E(f27(x651,x653),f27(x652,x653))
% 1.10/1.21 [66]~E(x661,x662)+E(f27(x663,x661),f27(x663,x662))
% 1.10/1.21 [67]~E(x671,x672)+E(f13(x671,x673,x674),f13(x672,x673,x674))
% 1.10/1.21 [68]~E(x681,x682)+E(f13(x683,x681,x684),f13(x683,x682,x684))
% 1.10/1.21 [69]~E(x691,x692)+E(f13(x693,x694,x691),f13(x693,x694,x692))
% 1.10/1.21 [70]~E(x701,x702)+E(f39(x701),f39(x702))
% 1.10/1.21 [71]~E(x711,x712)+E(f26(x711,x713),f26(x712,x713))
% 1.10/1.21 [72]~E(x721,x722)+E(f26(x723,x721),f26(x723,x722))
% 1.10/1.21 [73]~E(x731,x732)+E(f9(x731),f9(x732))
% 1.10/1.21 [74]~E(x741,x742)+E(f20(x741,x743),f20(x742,x743))
% 1.10/1.21 [75]~E(x751,x752)+E(f20(x753,x751),f20(x753,x752))
% 1.10/1.21 [76]~P1(x761)+P1(x762)+~E(x761,x762)
% 1.10/1.21 [77]P3(x772,x773)+~E(x771,x772)+~P3(x771,x773)
% 1.10/1.21 [78]P3(x783,x782)+~E(x781,x782)+~P3(x783,x781)
% 1.10/1.21 [79]~P5(x791)+P5(x792)+~E(x791,x792)
% 1.10/1.21 [80]P7(x802,x803)+~E(x801,x802)+~P7(x801,x803)
% 1.10/1.21 [81]P7(x813,x812)+~E(x811,x812)+~P7(x813,x811)
% 1.10/1.21 [82]~P6(x821)+P6(x822)+~E(x821,x822)
% 1.10/1.21 [83]~P4(x831)+P4(x832)+~E(x831,x832)
% 1.10/1.21 [84]~P2(x841)+P2(x842)+~E(x841,x842)
% 1.10/1.21 [85]P9(x852,x853)+~E(x851,x852)+~P9(x851,x853)
% 1.10/1.21 [86]P9(x863,x862)+~E(x861,x862)+~P9(x863,x861)
% 1.10/1.21 [87]P8(x872,x873)+~E(x871,x872)+~P8(x871,x873)
% 1.10/1.21 [88]P8(x883,x882)+~E(x881,x882)+~P8(x883,x881)
% 1.10/1.21
% 1.10/1.21 %-------------------------------------------
% 1.10/1.21 cnf(255,plain,
% 1.10/1.21 (E(a40,f2(a1))),
% 1.10/1.21 inference(scs_inference,[],[89,2])).
% 1.10/1.21 cnf(256,plain,
% 1.10/1.21 (P9(a3,a3)),
% 1.10/1.21 inference(scs_inference,[],[101,89,2,134])).
% 1.10/1.21 cnf(258,plain,
% 1.10/1.21 (~P3(x2581,f4(a3))),
% 1.10/1.21 inference(scs_inference,[],[101,89,90,2,134,122])).
% 1.10/1.21 cnf(260,plain,
% 1.10/1.21 (P1(f4(a3))),
% 1.10/1.21 inference(scs_inference,[],[101,89,90,2,134,122,114])).
% 1.10/1.21 cnf(262,plain,
% 1.10/1.21 (~E(a37,f4(a3))),
% 1.10/1.21 inference(scs_inference,[],[101,89,90,2,134,122,114,78])).
% 1.10/1.21 cnf(263,plain,
% 1.10/1.21 (P3(f2(a1),a37)),
% 1.10/1.21 inference(scs_inference,[],[101,102,89,90,2,134,122,114,78,77])).
% 1.10/1.21 cnf(264,plain,
% 1.10/1.21 (P1(a33)),
% 1.10/1.21 inference(scs_inference,[],[101,102,89,90,2,134,122,114,78,77,76])).
% 1.10/1.21 cnf(266,plain,
% 1.10/1.21 (~P5(a37)),
% 1.10/1.21 inference(scs_inference,[],[92,96,101,102,110,89,90,2,134,122,114,78,77,76,3,120])).
% 1.10/1.21 cnf(268,plain,
% 1.10/1.21 (~P6(f4(a3))),
% 1.10/1.21 inference(scs_inference,[],[92,96,101,102,110,89,90,2,134,122,114,78,77,76,3,120,117])).
% 1.10/1.21 cnf(270,plain,
% 1.10/1.21 (P9(a46,a45)),
% 1.10/1.21 inference(scs_inference,[],[92,96,101,102,104,105,110,112,89,90,2,134,122,114,78,77,76,3,120,117,180])).
% 1.10/1.22 cnf(274,plain,
% 1.10/1.22 (P9(f2(a3),f2(a3))),
% 1.10/1.22 inference(scs_inference,[],[92,96,101,102,104,105,110,112,89,90,2,134,122,114,78,77,76,3,120,117,180,177,193])).
% 1.10/1.22 cnf(276,plain,
% 1.10/1.22 (P7(f4(a3),f4(a3))),
% 1.10/1.22 inference(scs_inference,[],[92,96,101,102,104,105,110,112,89,90,2,134,122,114,78,77,76,3,120,117,180,177,193,192])).
% 1.10/1.22 cnf(278,plain,
% 1.10/1.22 (P9(a3,a40)),
% 1.10/1.22 inference(scs_inference,[],[92,96,101,102,104,105,110,112,89,90,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128])).
% 1.10/1.22 cnf(280,plain,
% 1.10/1.22 (P7(a37,a37)),
% 1.10/1.22 inference(scs_inference,[],[92,96,101,102,104,105,110,112,89,90,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121])).
% 1.10/1.22 cnf(282,plain,
% 1.10/1.22 (P7(f5(a41,a3),a37)),
% 1.10/1.22 inference(scs_inference,[],[92,96,101,102,104,105,110,112,89,90,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155])).
% 1.10/1.22 cnf(284,plain,
% 1.10/1.22 (~P9(f2(a3),a3)),
% 1.10/1.22 inference(scs_inference,[],[92,96,101,102,104,105,110,112,89,90,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147])).
% 1.10/1.22 cnf(292,plain,
% 1.10/1.22 (P3(f2(a3),a37)),
% 1.10/1.22 inference(scs_inference,[],[92,96,101,102,104,105,110,112,89,90,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135])).
% 1.10/1.22 cnf(294,plain,
% 1.10/1.22 (E(f7(f4(a3)),a3)),
% 1.10/1.22 inference(scs_inference,[],[92,96,101,102,104,105,110,112,89,90,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127])).
% 1.10/1.22 cnf(296,plain,
% 1.10/1.22 (P5(f4(a3))),
% 1.10/1.22 inference(scs_inference,[],[92,96,101,102,104,105,110,112,89,90,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126])).
% 1.10/1.22 cnf(298,plain,
% 1.10/1.22 (~E(f2(a3),a3)),
% 1.10/1.22 inference(scs_inference,[],[92,96,101,102,104,105,110,112,89,90,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126,124])).
% 1.10/1.22 cnf(300,plain,
% 1.10/1.22 (~E(f2(a40),a3)),
% 1.10/1.22 inference(scs_inference,[],[92,96,101,102,104,105,110,112,89,90,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126,124,123])).
% 1.10/1.22 cnf(302,plain,
% 1.10/1.22 (P4(f7(a37))),
% 1.10/1.22 inference(scs_inference,[],[92,96,101,102,104,105,110,112,89,90,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126,124,123,119])).
% 1.10/1.22 cnf(371,plain,
% 1.10/1.22 (E(f34(x3711,f2(a1)),f34(x3711,a40))),
% 1.10/1.22 inference(scs_inference,[],[92,96,98,101,102,104,105,110,112,89,90,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126,124,123,119,118,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10])).
% 1.10/1.22 cnf(376,plain,
% 1.10/1.22 (E(f4(f2(a1)),f4(a40))),
% 1.10/1.22 inference(scs_inference,[],[92,96,98,101,102,104,105,110,112,89,90,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126,124,123,119,118,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 1.10/1.22 cnf(381,plain,
% 1.10/1.22 (~E(a33,a37)),
% 1.10/1.22 inference(scs_inference,[],[92,94,96,97,98,101,102,104,105,110,112,113,89,90,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126,124,123,119,118,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,82,79])).
% 1.10/1.22 cnf(382,plain,
% 1.10/1.22 (P4(a3)),
% 1.10/1.22 inference(scs_inference,[],[92,94,96,97,98,101,102,104,105,110,112,113,89,90,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126,124,123,119,118,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,82,79,133])).
% 1.10/1.22 cnf(384,plain,
% 1.10/1.22 (P1(a43)),
% 1.10/1.22 inference(scs_inference,[],[92,94,96,97,98,101,102,104,105,106,110,112,113,89,90,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126,124,123,119,118,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,82,79,133,132])).
% 1.10/1.22 cnf(386,plain,
% 1.10/1.22 (P1(f4(f2(a1)))),
% 1.10/1.22 inference(scs_inference,[],[92,94,96,97,98,101,102,104,105,106,110,112,113,89,90,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126,124,123,119,118,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,82,79,133,132,130])).
% 1.10/1.22 cnf(388,plain,
% 1.10/1.22 (~P3(f7(a37),a37)),
% 1.10/1.22 inference(scs_inference,[],[92,94,96,97,98,101,102,104,105,106,110,112,113,89,90,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126,124,123,119,118,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,82,79,133,132,130,139])).
% 1.10/1.22 cnf(390,plain,
% 1.10/1.22 (P3(f19(f2(a3)),a37)),
% 1.10/1.22 inference(scs_inference,[],[92,94,96,97,98,101,102,104,105,106,110,112,113,89,90,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126,124,123,119,118,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,82,79,133,132,130,139,138])).
% 1.10/1.22 cnf(394,plain,
% 1.10/1.22 (E(f2(f19(f2(a3))),f2(a3))),
% 1.10/1.22 inference(scs_inference,[],[92,94,96,97,98,101,102,104,105,106,110,112,113,89,90,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126,124,123,119,118,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,82,79,133,132,130,139,138,131,129])).
% 1.10/1.22 cnf(400,plain,
% 1.10/1.22 (~P3(f7(a37),a43)),
% 1.10/1.22 inference(scs_inference,[],[92,94,96,97,98,101,102,104,105,106,110,112,113,89,90,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126,124,123,119,118,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,82,79,133,132,130,139,138,131,129,158,176,168])).
% 1.10/1.22 cnf(402,plain,
% 1.10/1.22 (P5(f6(a44,f35(a44)))),
% 1.10/1.22 inference(scs_inference,[],[92,93,94,95,96,97,98,101,102,104,105,106,110,112,113,89,90,108,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126,124,123,119,118,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,82,79,133,132,130,139,138,131,129,158,176,168,140])).
% 1.10/1.22 cnf(420,plain,
% 1.10/1.22 (P7(f5(a41,a3),f5(a41,a3))),
% 1.10/1.22 inference(scs_inference,[],[92,93,94,95,96,97,98,101,102,104,105,106,110,112,113,89,90,108,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126,124,123,119,118,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,82,79,133,132,130,139,138,131,129,158,176,168,140,162,154,164,153,152,151,150,149,216])).
% 1.10/1.22 cnf(422,plain,
% 1.10/1.22 (~P9(f2(f2(a3)),f2(a3))),
% 1.10/1.22 inference(scs_inference,[],[92,93,94,95,96,97,98,101,102,104,105,106,110,112,113,89,90,108,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126,124,123,119,118,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,82,79,133,132,130,139,138,131,129,158,176,168,140,162,154,164,153,152,151,150,149,216,198])).
% 1.10/1.22 cnf(424,plain,
% 1.10/1.22 (~P7(f4(f2(a3)),f4(a3))),
% 1.10/1.22 inference(scs_inference,[],[92,93,94,95,96,97,98,101,102,104,105,106,110,112,113,89,90,108,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126,124,123,119,118,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,82,79,133,132,130,139,138,131,129,158,176,168,140,162,154,164,153,152,151,150,149,216,198,197])).
% 1.10/1.22 cnf(428,plain,
% 1.10/1.22 (E(f32(f31(a37,f7(a37)),f7(a37)),a37)),
% 1.10/1.22 inference(scs_inference,[],[92,93,94,95,96,97,98,101,102,104,105,106,110,112,113,89,90,108,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126,124,123,119,118,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,82,79,133,132,130,139,138,131,129,158,176,168,140,162,154,164,153,152,151,150,149,216,198,197,161,175])).
% 1.10/1.22 cnf(434,plain,
% 1.10/1.22 (~P9(a45,a46)),
% 1.10/1.22 inference(scs_inference,[],[111,92,93,94,95,96,97,98,101,102,104,105,106,110,112,113,89,90,108,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126,124,123,119,118,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,82,79,133,132,130,139,138,131,129,158,176,168,140,162,154,164,153,152,151,150,149,216,198,197,161,175,223,242,190])).
% 1.10/1.22 cnf(436,plain,
% 1.10/1.22 (~E(a37,f32(f4(a3),f7(a37)))),
% 1.10/1.22 inference(scs_inference,[],[111,92,93,94,95,96,97,98,101,102,104,105,106,110,112,113,89,90,108,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126,124,123,119,118,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,82,79,133,132,130,139,138,131,129,158,176,168,140,162,154,164,153,152,151,150,149,216,198,197,161,175,223,242,190,179])).
% 1.10/1.22 cnf(438,plain,
% 1.10/1.22 (~E(f4(a3),f4(f2(a3)))),
% 1.10/1.22 inference(scs_inference,[],[111,92,93,94,95,96,97,98,101,102,104,105,106,110,112,113,89,90,108,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126,124,123,119,118,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,82,79,133,132,130,139,138,131,129,158,176,168,140,162,154,164,153,152,151,150,149,216,198,197,161,175,223,242,190,179,196])).
% 1.10/1.22 cnf(442,plain,
% 1.10/1.22 (P3(f28(a3,a37),a37)),
% 1.10/1.22 inference(scs_inference,[],[111,92,93,94,95,96,97,98,101,102,104,105,106,110,112,113,89,90,108,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126,124,123,119,118,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,82,79,133,132,130,139,138,131,129,158,176,168,140,162,154,164,153,152,151,150,149,216,198,197,161,175,223,242,190,179,196,167,207])).
% 1.10/1.22 cnf(444,plain,
% 1.10/1.22 (~E(f4(a3),f31(a37,f7(a37)))),
% 1.10/1.22 inference(scs_inference,[],[111,92,93,94,95,96,97,98,101,102,104,105,106,110,112,113,89,90,108,2,134,122,114,78,77,76,3,120,117,180,177,193,192,128,121,155,147,146,137,136,135,127,126,124,123,119,118,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,86,85,82,79,133,132,130,139,138,131,129,158,176,168,140,162,154,164,153,152,151,150,149,216,198,197,161,175,223,242,190,179,196,167,207,188])).
% 1.10/1.22 cnf(470,plain,
% 1.10/1.22 (E(f34(x4701,f2(a1)),f34(x4701,a40))),
% 1.10/1.22 inference(rename_variables,[],[371])).
% 1.10/1.22 cnf(472,plain,
% 1.10/1.22 (P9(f2(f28(f2(a3),f4(a3))),f2(a3))),
% 1.10/1.22 inference(scs_inference,[],[111,104,105,102,371,258,424,438,260,292,156,191,221])).
% 1.10/1.22 cnf(473,plain,
% 1.10/1.22 (~P3(x4731,f4(a3))),
% 1.10/1.22 inference(rename_variables,[],[258])).
% 1.10/1.22 cnf(476,plain,
% 1.10/1.22 (~P3(x4761,f4(a3))),
% 1.10/1.22 inference(rename_variables,[],[258])).
% 1.10/1.22 cnf(478,plain,
% 1.10/1.22 (P4(f24(a37,f7(a37),f4(a3)))),
% 1.10/1.22 inference(scs_inference,[],[111,104,105,102,92,371,258,473,476,444,424,438,260,302,436,292,156,191,221,232,229])).
% 1.10/1.22 cnf(479,plain,
% 1.10/1.22 (~P3(x4791,f4(a3))),
% 1.10/1.22 inference(rename_variables,[],[258])).
% 1.10/1.22 cnf(481,plain,
% 1.10/1.22 (~P9(f2(f28(a3,a37)),a3)),
% 1.10/1.22 inference(scs_inference,[],[111,104,105,102,92,101,371,258,473,476,444,262,424,438,260,302,436,292,442,156,191,221,232,229,231])).
% 1.10/1.22 cnf(483,plain,
% 1.10/1.22 (~E(a37,a33)),
% 1.10/1.22 inference(scs_inference,[],[111,103,104,105,102,92,101,371,258,473,476,444,262,424,438,260,302,436,292,442,156,191,221,232,229,231,122])).
% 1.10/1.22 cnf(487,plain,
% 1.10/1.22 (~E(a43,a33)),
% 1.10/1.22 inference(scs_inference,[],[111,103,97,93,95,104,105,102,92,101,371,258,473,476,444,262,424,438,260,302,436,292,442,384,156,191,221,232,229,231,122,120,117])).
% 1.10/1.22 cnf(513,plain,
% 1.10/1.22 (P7(a43,f5(a41,a3))),
% 1.10/1.22 inference(scs_inference,[],[111,103,100,97,110,93,95,104,105,102,94,92,101,89,420,371,258,473,476,444,262,424,438,260,276,296,302,282,436,292,388,442,264,266,270,278,384,156,191,221,232,229,231,122,120,117,168,140,153,152,151,150,149,193,161,190,5,85,82,81,80])).
% 1.10/1.22 cnf(516,plain,
% 1.10/1.22 (~E(a1,f7(a37))),
% 1.10/1.22 inference(scs_inference,[],[111,103,91,100,97,110,93,95,104,105,102,94,92,101,89,420,371,258,473,476,444,262,424,438,260,276,296,302,282,436,292,388,442,264,266,270,278,384,156,191,221,232,229,231,122,120,117,168,140,153,152,151,150,149,193,161,190,5,85,82,81,80,79,78,77])).
% 1.10/1.22 cnf(517,plain,
% 1.10/1.22 (P4(a1)),
% 1.10/1.22 inference(scs_inference,[],[111,103,91,100,97,110,93,95,104,105,102,94,92,101,89,420,371,258,473,476,444,262,424,438,260,276,296,302,282,436,292,388,442,264,266,270,278,384,156,191,221,232,229,231,122,120,117,168,140,153,152,151,150,149,193,161,190,5,85,82,81,80,79,78,77,133])).
% 1.10/1.22 cnf(519,plain,
% 1.10/1.22 (P1(f6(a44,f35(a44)))),
% 1.10/1.22 inference(scs_inference,[],[111,103,91,100,97,110,93,95,108,104,105,102,94,92,101,89,420,371,258,473,476,444,262,424,438,260,276,296,302,282,436,292,388,442,264,266,270,278,384,156,191,221,232,229,231,122,120,117,168,140,153,152,151,150,149,193,161,190,5,85,82,81,80,79,78,77,133,132])).
% 1.10/1.22 cnf(540,plain,
% 1.10/1.22 (E(f32(f31(f4(a3),f7(a37)),f7(a37)),f4(a3))),
% 1.10/1.22 inference(scs_inference,[],[111,99,103,91,100,97,110,93,95,108,104,105,102,94,92,101,89,420,371,470,258,473,476,479,444,262,424,438,260,276,296,302,282,436,263,292,388,442,264,266,270,278,384,156,191,221,232,229,231,122,120,117,168,140,153,152,151,150,149,193,161,190,5,85,82,81,80,79,78,77,133,132,131,125,158,176,183,154,164,216,192,175])).
% 1.10/1.22 cnf(541,plain,
% 1.10/1.22 (~P3(x5411,f4(a3))),
% 1.10/1.22 inference(rename_variables,[],[258])).
% 1.10/1.22 cnf(545,plain,
% 1.10/1.22 (P3(f28(f2(a3),f4(a3)),a37)),
% 1.10/1.22 inference(scs_inference,[],[111,99,103,91,100,97,110,93,95,108,104,105,102,94,92,101,89,420,371,470,258,473,476,479,541,444,262,298,424,438,260,276,296,302,282,436,263,292,388,442,264,266,270,278,384,156,191,221,232,229,231,122,120,117,168,140,153,152,151,150,149,193,161,190,5,85,82,81,80,79,78,77,133,132,131,125,158,176,183,154,164,216,192,175,167,207])).
% 1.10/1.22 cnf(546,plain,
% 1.10/1.22 (~P3(x5461,f4(a3))),
% 1.10/1.22 inference(rename_variables,[],[258])).
% 1.10/1.22 cnf(555,plain,
% 1.10/1.22 (P7(f4(a3),a42)),
% 1.10/1.22 inference(scs_inference,[],[111,99,103,91,100,97,110,93,95,108,104,105,90,102,94,92,101,89,420,371,470,258,473,476,479,541,546,386,444,294,262,298,376,424,438,260,276,296,302,282,436,263,292,388,442,264,266,270,278,384,156,191,221,232,229,231,122,120,117,168,140,153,152,151,150,149,193,161,190,5,85,82,81,80,79,78,77,133,132,131,125,158,176,183,154,164,216,192,175,167,207,2,86,76,3,84,195,173])).
% 1.10/1.22 cnf(556,plain,
% 1.10/1.22 (~P3(x5561,f4(a3))),
% 1.10/1.22 inference(rename_variables,[],[258])).
% 1.10/1.22 cnf(563,plain,
% 1.10/1.22 (~P3(x5631,f4(a3))),
% 1.10/1.22 inference(rename_variables,[],[258])).
% 1.10/1.22 cnf(566,plain,
% 1.10/1.22 (~P3(x5661,f4(a3))),
% 1.10/1.22 inference(rename_variables,[],[258])).
% 1.10/1.22 cnf(568,plain,
% 1.10/1.22 (~E(f4(a3),f34(f4(a3),a3))),
% 1.10/1.22 inference(scs_inference,[],[111,99,103,91,100,97,110,113,93,95,108,104,105,90,102,94,92,101,89,420,371,470,258,473,476,479,541,546,556,563,566,386,444,294,262,298,376,424,438,260,276,296,302,282,436,263,292,388,442,264,266,270,278,280,384,156,191,221,232,229,231,122,120,117,168,140,153,152,151,150,149,193,161,190,5,85,82,81,80,79,78,77,133,132,131,125,158,176,183,154,164,216,192,175,167,207,2,86,76,3,84,195,173,144,169,210,184,199])).
% 1.10/1.22 cnf(571,plain,
% 1.10/1.22 (P1(f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 1.10/1.22 inference(scs_inference,[],[111,99,103,91,100,97,110,113,93,95,108,104,105,90,102,94,92,101,89,420,371,470,258,473,476,479,541,546,556,563,566,386,444,294,262,298,376,424,438,260,276,296,302,282,436,263,292,388,442,264,266,270,278,280,384,156,191,221,232,229,231,122,120,117,168,140,153,152,151,150,149,193,161,190,5,85,82,81,80,79,78,77,133,132,131,125,158,176,183,154,164,216,192,175,167,207,2,86,76,3,84,195,173,144,169,210,184,199,130])).
% 1.10/1.22 cnf(579,plain,
% 1.10/1.22 (~P9(f2(a45),f2(a46))),
% 1.10/1.22 inference(scs_inference,[],[111,99,103,91,100,97,110,113,93,95,108,104,105,90,102,94,92,101,89,420,371,470,258,473,476,479,541,546,556,563,566,386,444,294,262,298,376,422,424,438,260,276,296,302,282,436,263,292,388,442,264,266,270,278,280,384,434,156,191,221,232,229,231,122,120,117,168,140,153,152,151,150,149,193,161,190,5,85,82,81,80,79,78,77,133,132,131,125,158,176,183,154,164,216,192,175,167,207,2,86,76,3,84,195,173,144,169,210,184,199,130,116,180,197,177,198])).
% 1.10/1.22 cnf(607,plain,
% 1.10/1.22 (~P3(x6071,f4(a3))),
% 1.10/1.22 inference(rename_variables,[],[258])).
% 1.10/1.22 cnf(610,plain,
% 1.10/1.22 (~P3(x6101,f4(a3))),
% 1.10/1.22 inference(rename_variables,[],[258])).
% 1.10/1.22 cnf(612,plain,
% 1.10/1.22 (~E(f4(a3),f34(a42,a3))),
% 1.10/1.22 inference(scs_inference,[],[93,101,568,555,258,607,610,294,260,236,234,199])).
% 1.10/1.22 cnf(613,plain,
% 1.10/1.22 (~P3(x6131,f4(a3))),
% 1.10/1.22 inference(rename_variables,[],[258])).
% 1.10/1.22 cnf(618,plain,
% 1.10/1.22 (~P3(x6181,f4(a3))),
% 1.10/1.22 inference(rename_variables,[],[258])).
% 1.10/1.22 cnf(628,plain,
% 1.10/1.22 (~P7(a37,f4(a3))),
% 1.10/1.22 inference(scs_inference,[],[106,110,96,95,103,102,93,92,101,478,400,568,555,487,258,607,610,613,618,296,294,260,236,234,199,144,232,140,152,156,161,168])).
% 1.10/1.22 cnf(629,plain,
% 1.10/1.22 (~P3(x6291,f4(a3))),
% 1.10/1.22 inference(rename_variables,[],[258])).
% 1.10/1.22 cnf(641,plain,
% 1.10/1.22 (~P3(f2(a46),a37)),
% 1.10/1.22 inference(scs_inference,[],[106,110,113,96,95,103,94,102,104,93,92,101,274,478,400,568,579,555,487,258,607,610,613,618,296,294,264,292,260,236,234,199,144,232,140,152,156,161,168,120,150,149,216,151,180])).
% 1.10/1.22 cnf(648,plain,
% 1.10/1.22 (~P5(f32(f31(a37,f7(a37)),f7(a37)))),
% 1.10/1.22 inference(scs_inference,[],[255,106,110,113,96,95,103,94,102,104,93,92,101,256,274,472,478,540,400,568,579,481,545,428,555,487,424,258,607,610,613,618,296,294,264,266,292,260,236,234,199,144,232,140,152,156,161,168,120,150,149,216,151,180,198,5,85,81,79])).
% 1.10/1.22 cnf(655,plain,
% 1.10/1.22 (~P6(f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 1.10/1.22 inference(scs_inference,[],[255,106,110,113,96,95,103,94,102,105,104,93,92,101,256,274,519,472,478,540,400,568,268,579,481,545,428,555,487,424,258,607,610,613,618,402,296,294,264,266,384,292,302,260,236,234,199,144,232,140,152,156,161,168,120,150,149,216,151,180,198,5,85,81,79,177,164,175,82])).
% 1.10/1.22 cnf(656,plain,
% 1.10/1.22 (~P3(x6561,f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 1.10/1.22 inference(scs_inference,[],[255,106,110,113,96,95,103,94,102,105,104,93,92,101,256,274,519,472,478,540,400,568,268,579,481,545,428,555,487,424,258,607,610,613,618,629,402,296,294,264,266,384,292,302,260,236,234,199,144,232,140,152,156,161,168,120,150,149,216,151,180,198,5,85,81,79,177,164,175,82,78])).
% 1.10/1.22 cnf(709,plain,
% 1.10/1.22 (~P3(x7091,f4(a3))),
% 1.10/1.22 inference(rename_variables,[],[258])).
% 1.10/1.22 cnf(712,plain,
% 1.10/1.22 (~P3(x7121,f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 1.10/1.22 inference(rename_variables,[],[656])).
% 1.10/1.22 cnf(717,plain,
% 1.10/1.22 (~P3(x7171,f4(a3))),
% 1.10/1.22 inference(rename_variables,[],[258])).
% 1.10/1.22 cnf(724,plain,
% 1.10/1.22 (~P3(x7241,f4(a3))),
% 1.10/1.22 inference(rename_variables,[],[258])).
% 1.10/1.22 cnf(727,plain,
% 1.10/1.22 (~P3(x7271,f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 1.10/1.22 inference(rename_variables,[],[656])).
% 1.10/1.22 cnf(733,plain,
% 1.10/1.22 (~P3(x7331,f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 1.10/1.22 inference(rename_variables,[],[656])).
% 1.10/1.22 cnf(740,plain,
% 1.10/1.22 (~P3(x7401,f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 1.10/1.22 inference(rename_variables,[],[656])).
% 1.10/1.22 cnf(753,plain,
% 1.10/1.22 (~E(a40,a3)),
% 1.10/1.22 inference(scs_inference,[],[112,100,91,110,97,94,95,102,105,93,92,101,656,712,727,733,740,394,571,655,648,628,612,513,300,641,381,382,390,284,519,483,258,709,717,724,402,280,266,260,234,179,169,236,135,129,210,125,153,232,140,120,173,156,81,79,82,78,77,85,80,3,2])).
% 1.10/1.22 cnf(786,plain,
% 1.10/1.22 (~P3(x7861,f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 1.10/1.22 inference(rename_variables,[],[656])).
% 1.10/1.22 cnf(792,plain,
% 1.10/1.22 (~P3(x7921,f32(f31(f4(a3),f7(a37)),f7(a37)))),
% 1.10/1.22 inference(rename_variables,[],[656])).
% 1.10/1.22 cnf(797,plain,
% 1.10/1.22 ($false),
% 1.10/1.22 inference(scs_inference,[],[103,105,102,92,516,517,753,656,786,792,641,571,302,189,138,43,179,188,135]),
% 1.10/1.22 ['proof']).
% 1.10/1.22 % SZS output end Proof
% 1.10/1.22 % Total time :0.510000s
%------------------------------------------------------------------------------