TSTP Solution File: NUM633+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM633+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 : n032.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 10:23:54 EDT 2023
% Result : Theorem 1.20s 1.72s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.21 % Problem : NUM633+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.22 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.09/0.51 % Computer : n032.cluster.edu
% 0.09/0.51 % Model : x86_64 x86_64
% 0.09/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.51 % Memory : 8042.1875MB
% 0.09/0.51 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.51 % CPULimit : 300
% 0.09/0.51 % WCLimit : 300
% 0.09/0.51 % DateTime : Fri Aug 25 11:50:58 EDT 2023
% 0.09/0.51 % CPUTime :
% 0.51/0.93 start to proof:theBenchmark
% 1.14/1.69 %-------------------------------------------
% 1.14/1.69 % File :CSE---1.6
% 1.14/1.69 % Problem :theBenchmark
% 1.14/1.69 % Transform :cnf
% 1.14/1.69 % Format :tptp:raw
% 1.14/1.69 % Command :java -jar mcs_scs.jar %d %s
% 1.14/1.69
% 1.14/1.69 % Result :Theorem 0.570000s
% 1.14/1.69 % Output :CNFRefutation 0.570000s
% 1.14/1.69 %-------------------------------------------
% 1.20/1.69 %------------------------------------------------------------------------------
% 1.20/1.69 % File : NUM633+1 : TPTP v8.1.2. Released v4.0.0.
% 1.20/1.69 % Domain : Number Theory
% 1.20/1.69 % Problem : Ramsey's Infinite Theorem 15_02_24, 00 expansion
% 1.20/1.69 % Version : Especial.
% 1.20/1.69 % English :
% 1.20/1.69
% 1.20/1.69 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 1.20/1.69 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 1.20/1.69 % Source : [Pas08]
% 1.20/1.69 % Names : ramsey_15_02_24.00 [Pas08]
% 1.20/1.69
% 1.20/1.69 % Status : Theorem
% 1.20/1.69 % Rating : 0.31 v7.4.0, 0.23 v7.3.0, 0.24 v7.1.0, 0.26 v7.0.0, 0.30 v6.4.0, 0.35 v6.3.0, 0.33 v6.2.0, 0.32 v6.1.0, 0.40 v6.0.0, 0.39 v5.5.0, 0.56 v5.4.0, 0.57 v5.3.0, 0.59 v5.2.0, 0.45 v5.1.0, 0.57 v5.0.0, 0.67 v4.1.0, 0.70 v4.0.1, 0.87 v4.0.0
% 1.20/1.69 % Syntax : Number of formulae : 99 ( 8 unt; 11 def)
% 1.20/1.69 % Number of atoms : 396 ( 71 equ)
% 1.20/1.69 % Maximal formula atoms : 12 ( 4 avg)
% 1.20/1.69 % Number of connectives : 322 ( 25 ~; 4 |; 133 &)
% 1.20/1.69 % ( 22 <=>; 138 =>; 0 <=; 0 <~>)
% 1.20/1.69 % Maximal formula depth : 15 ( 5 avg)
% 1.20/1.69 % Maximal term depth : 5 ( 1 avg)
% 1.20/1.69 % Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% 1.20/1.69 % Number of functors : 27 ( 27 usr; 13 con; 0-2 aty)
% 1.20/1.69 % Number of variables : 175 ( 161 !; 14 ?)
% 1.20/1.69 % SPC : FOF_THM_RFO_SEQ
% 1.20/1.69
% 1.20/1.69 % Comments : Problem generated by the SAD system [VLP07]
% 1.20/1.69 %------------------------------------------------------------------------------
% 1.20/1.69 fof(mSetSort,axiom,
% 1.20/1.69 ! [W0] :
% 1.20/1.69 ( aSet0(W0)
% 1.20/1.69 => $true ) ).
% 1.20/1.69
% 1.20/1.69 fof(mElmSort,axiom,
% 1.20/1.69 ! [W0] :
% 1.20/1.69 ( aElement0(W0)
% 1.20/1.69 => $true ) ).
% 1.20/1.69
% 1.20/1.69 fof(mEOfElem,axiom,
% 1.20/1.69 ! [W0] :
% 1.20/1.69 ( aSet0(W0)
% 1.20/1.69 => ! [W1] :
% 1.20/1.69 ( aElementOf0(W1,W0)
% 1.20/1.69 => aElement0(W1) ) ) ).
% 1.20/1.69
% 1.20/1.69 fof(mFinRel,axiom,
% 1.20/1.69 ! [W0] :
% 1.20/1.69 ( aSet0(W0)
% 1.20/1.69 => ( isFinite0(W0)
% 1.20/1.69 => $true ) ) ).
% 1.20/1.69
% 1.20/1.69 fof(mDefEmp,definition,
% 1.20/1.69 ! [W0] :
% 1.20/1.69 ( W0 = slcrc0
% 1.20/1.69 <=> ( aSet0(W0)
% 1.20/1.69 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ).
% 1.20/1.69
% 1.20/1.69 fof(mEmpFin,axiom,
% 1.20/1.69 isFinite0(slcrc0) ).
% 1.20/1.69
% 1.20/1.69 fof(mCntRel,axiom,
% 1.20/1.69 ! [W0] :
% 1.20/1.69 ( aSet0(W0)
% 1.20/1.69 => ( isCountable0(W0)
% 1.20/1.69 => $true ) ) ).
% 1.20/1.69
% 1.20/1.69 fof(mCountNFin,axiom,
% 1.20/1.69 ! [W0] :
% 1.20/1.69 ( ( aSet0(W0)
% 1.20/1.69 & isCountable0(W0) )
% 1.20/1.69 => ~ isFinite0(W0) ) ).
% 1.20/1.69
% 1.20/1.69 fof(mCountNFin_01,axiom,
% 1.20/1.69 ! [W0] :
% 1.20/1.69 ( ( aSet0(W0)
% 1.20/1.69 & isCountable0(W0) )
% 1.20/1.69 => W0 != slcrc0 ) ).
% 1.20/1.69
% 1.20/1.69 fof(mDefSub,definition,
% 1.20/1.69 ! [W0] :
% 1.20/1.69 ( aSet0(W0)
% 1.20/1.69 => ! [W1] :
% 1.20/1.69 ( aSubsetOf0(W1,W0)
% 1.20/1.69 <=> ( aSet0(W1)
% 1.20/1.69 & ! [W2] :
% 1.20/1.69 ( aElementOf0(W2,W1)
% 1.20/1.69 => aElementOf0(W2,W0) ) ) ) ) ).
% 1.20/1.69
% 1.20/1.69 fof(mSubFSet,axiom,
% 1.20/1.69 ! [W0] :
% 1.20/1.69 ( ( aSet0(W0)
% 1.20/1.69 & isFinite0(W0) )
% 1.20/1.69 => ! [W1] :
% 1.20/1.69 ( aSubsetOf0(W1,W0)
% 1.20/1.69 => isFinite0(W1) ) ) ).
% 1.20/1.69
% 1.20/1.69 fof(mSubRefl,axiom,
% 1.20/1.69 ! [W0] :
% 1.20/1.69 ( aSet0(W0)
% 1.20/1.69 => aSubsetOf0(W0,W0) ) ).
% 1.20/1.69
% 1.20/1.69 fof(mSubASymm,axiom,
% 1.20/1.69 ! [W0,W1] :
% 1.20/1.69 ( ( aSet0(W0)
% 1.20/1.69 & aSet0(W1) )
% 1.20/1.69 => ( ( aSubsetOf0(W0,W1)
% 1.20/1.69 & aSubsetOf0(W1,W0) )
% 1.20/1.69 => W0 = W1 ) ) ).
% 1.20/1.69
% 1.20/1.69 fof(mSubTrans,axiom,
% 1.20/1.69 ! [W0,W1,W2] :
% 1.20/1.69 ( ( aSet0(W0)
% 1.20/1.69 & aSet0(W1)
% 1.20/1.69 & aSet0(W2) )
% 1.20/1.69 => ( ( aSubsetOf0(W0,W1)
% 1.20/1.69 & aSubsetOf0(W1,W2) )
% 1.20/1.69 => aSubsetOf0(W0,W2) ) ) ).
% 1.20/1.69
% 1.20/1.69 fof(mDefCons,definition,
% 1.20/1.69 ! [W0,W1] :
% 1.20/1.69 ( ( aSet0(W0)
% 1.20/1.69 & aElement0(W1) )
% 1.20/1.69 => ! [W2] :
% 1.20/1.69 ( W2 = sdtpldt0(W0,W1)
% 1.20/1.69 <=> ( aSet0(W2)
% 1.20/1.69 & ! [W3] :
% 1.20/1.69 ( aElementOf0(W3,W2)
% 1.20/1.69 <=> ( aElement0(W3)
% 1.20/1.69 & ( aElementOf0(W3,W0)
% 1.20/1.69 | W3 = W1 ) ) ) ) ) ) ).
% 1.20/1.69
% 1.20/1.69 fof(mDefDiff,definition,
% 1.20/1.69 ! [W0,W1] :
% 1.20/1.69 ( ( aSet0(W0)
% 1.20/1.69 & aElement0(W1) )
% 1.20/1.69 => ! [W2] :
% 1.20/1.69 ( W2 = sdtmndt0(W0,W1)
% 1.20/1.69 <=> ( aSet0(W2)
% 1.20/1.69 & ! [W3] :
% 1.20/1.69 ( aElementOf0(W3,W2)
% 1.20/1.69 <=> ( aElement0(W3)
% 1.20/1.69 & aElementOf0(W3,W0)
% 1.20/1.69 & W3 != W1 ) ) ) ) ) ).
% 1.20/1.69
% 1.20/1.69 fof(mConsDiff,axiom,
% 1.20/1.69 ! [W0] :
% 1.20/1.69 ( aSet0(W0)
% 1.20/1.69 => ! [W1] :
% 1.20/1.69 ( aElementOf0(W1,W0)
% 1.20/1.69 => sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ) ).
% 1.20/1.69
% 1.20/1.69 fof(mDiffCons,axiom,
% 1.20/1.69 ! [W0,W1] :
% 1.20/1.69 ( ( aElement0(W0)
% 1.20/1.69 & aSet0(W1) )
% 1.20/1.69 => ( ~ aElementOf0(W0,W1)
% 1.20/1.69 => sdtmndt0(sdtpldt0(W1,W0),W0) = W1 ) ) ).
% 1.20/1.69
% 1.20/1.69 fof(mCConsSet,axiom,
% 1.20/1.69 ! [W0] :
% 1.20/1.69 ( aElement0(W0)
% 1.20/1.69 => ! [W1] :
% 1.20/1.69 ( ( aSet0(W1)
% 1.20/1.69 & isCountable0(W1) )
% 1.20/1.69 => isCountable0(sdtpldt0(W1,W0)) ) ) ).
% 1.20/1.69
% 1.20/1.69 fof(mCDiffSet,axiom,
% 1.20/1.69 ! [W0] :
% 1.20/1.69 ( aElement0(W0)
% 1.20/1.69 => ! [W1] :
% 1.20/1.69 ( ( aSet0(W1)
% 1.20/1.69 & isCountable0(W1) )
% 1.20/1.70 => isCountable0(sdtmndt0(W1,W0)) ) ) ).
% 1.20/1.70
% 1.20/1.70 fof(mFConsSet,axiom,
% 1.20/1.70 ! [W0] :
% 1.20/1.70 ( aElement0(W0)
% 1.20/1.70 => ! [W1] :
% 1.20/1.70 ( ( aSet0(W1)
% 1.20/1.70 & isFinite0(W1) )
% 1.20/1.70 => isFinite0(sdtpldt0(W1,W0)) ) ) ).
% 1.20/1.70
% 1.20/1.70 fof(mFDiffSet,axiom,
% 1.20/1.70 ! [W0] :
% 1.20/1.70 ( aElement0(W0)
% 1.20/1.70 => ! [W1] :
% 1.20/1.70 ( ( aSet0(W1)
% 1.20/1.70 & isFinite0(W1) )
% 1.20/1.70 => isFinite0(sdtmndt0(W1,W0)) ) ) ).
% 1.20/1.70
% 1.20/1.70 fof(mNATSet,axiom,
% 1.20/1.70 ( aSet0(szNzAzT0)
% 1.20/1.70 & isCountable0(szNzAzT0) ) ).
% 1.20/1.70
% 1.20/1.70 fof(mZeroNum,axiom,
% 1.20/1.70 aElementOf0(sz00,szNzAzT0) ).
% 1.20/1.70
% 1.20/1.70 fof(mSuccNum,axiom,
% 1.20/1.70 ! [W0] :
% 1.20/1.70 ( aElementOf0(W0,szNzAzT0)
% 1.20/1.70 => ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
% 1.20/1.70 & szszuzczcdt0(W0) != sz00 ) ) ).
% 1.20/1.70
% 1.20/1.70 fof(mSuccEquSucc,axiom,
% 1.20/1.70 ! [W0,W1] :
% 1.20/1.70 ( ( aElementOf0(W0,szNzAzT0)
% 1.20/1.70 & aElementOf0(W1,szNzAzT0) )
% 1.20/1.70 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 1.20/1.70 => W0 = W1 ) ) ).
% 1.20/1.70
% 1.20/1.70 fof(mNatExtra,axiom,
% 1.20/1.70 ! [W0] :
% 1.20/1.70 ( aElementOf0(W0,szNzAzT0)
% 1.20/1.70 => ( W0 = sz00
% 1.20/1.70 | ? [W1] :
% 1.20/1.70 ( aElementOf0(W1,szNzAzT0)
% 1.20/1.70 & W0 = szszuzczcdt0(W1) ) ) ) ).
% 1.20/1.70
% 1.20/1.70 fof(mNatNSucc,axiom,
% 1.20/1.70 ! [W0] :
% 1.20/1.70 ( aElementOf0(W0,szNzAzT0)
% 1.20/1.70 => W0 != szszuzczcdt0(W0) ) ).
% 1.20/1.70
% 1.20/1.70 fof(mLessRel,axiom,
% 1.20/1.70 ! [W0,W1] :
% 1.20/1.70 ( ( aElementOf0(W0,szNzAzT0)
% 1.20/1.70 & aElementOf0(W1,szNzAzT0) )
% 1.20/1.70 => ( sdtlseqdt0(W0,W1)
% 1.20/1.70 => $true ) ) ).
% 1.20/1.70
% 1.20/1.70 fof(mZeroLess,axiom,
% 1.20/1.70 ! [W0] :
% 1.20/1.70 ( aElementOf0(W0,szNzAzT0)
% 1.20/1.70 => sdtlseqdt0(sz00,W0) ) ).
% 1.20/1.70
% 1.20/1.70 fof(mNoScLessZr,axiom,
% 1.20/1.70 ! [W0] :
% 1.20/1.70 ( aElementOf0(W0,szNzAzT0)
% 1.20/1.70 => ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) ).
% 1.20/1.70
% 1.20/1.70 fof(mSuccLess,axiom,
% 1.20/1.70 ! [W0,W1] :
% 1.20/1.70 ( ( aElementOf0(W0,szNzAzT0)
% 1.20/1.70 & aElementOf0(W1,szNzAzT0) )
% 1.20/1.70 => ( sdtlseqdt0(W0,W1)
% 1.20/1.70 <=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ) ).
% 1.20/1.70
% 1.20/1.70 fof(mLessSucc,axiom,
% 1.20/1.70 ! [W0] :
% 1.20/1.70 ( aElementOf0(W0,szNzAzT0)
% 1.20/1.70 => sdtlseqdt0(W0,szszuzczcdt0(W0)) ) ).
% 1.20/1.70
% 1.20/1.70 fof(mLessRefl,axiom,
% 1.20/1.70 ! [W0] :
% 1.20/1.70 ( aElementOf0(W0,szNzAzT0)
% 1.20/1.70 => sdtlseqdt0(W0,W0) ) ).
% 1.20/1.70
% 1.20/1.70 fof(mLessASymm,axiom,
% 1.20/1.70 ! [W0,W1] :
% 1.20/1.70 ( ( aElementOf0(W0,szNzAzT0)
% 1.20/1.70 & aElementOf0(W1,szNzAzT0) )
% 1.20/1.70 => ( ( sdtlseqdt0(W0,W1)
% 1.20/1.70 & sdtlseqdt0(W1,W0) )
% 1.20/1.70 => W0 = W1 ) ) ).
% 1.20/1.70
% 1.20/1.70 fof(mLessTrans,axiom,
% 1.20/1.70 ! [W0,W1,W2] :
% 1.20/1.70 ( ( aElementOf0(W0,szNzAzT0)
% 1.20/1.70 & aElementOf0(W1,szNzAzT0)
% 1.20/1.70 & aElementOf0(W2,szNzAzT0) )
% 1.20/1.70 => ( ( sdtlseqdt0(W0,W1)
% 1.20/1.70 & sdtlseqdt0(W1,W2) )
% 1.20/1.70 => sdtlseqdt0(W0,W2) ) ) ).
% 1.20/1.70
% 1.20/1.70 fof(mLessTotal,axiom,
% 1.20/1.70 ! [W0,W1] :
% 1.20/1.70 ( ( aElementOf0(W0,szNzAzT0)
% 1.20/1.70 & aElementOf0(W1,szNzAzT0) )
% 1.20/1.71 => ( sdtlseqdt0(W0,W1)
% 1.20/1.71 | sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mIHSort,axiom,
% 1.20/1.71 ! [W0,W1] :
% 1.20/1.71 ( ( aElementOf0(W0,szNzAzT0)
% 1.20/1.71 & aElementOf0(W1,szNzAzT0) )
% 1.20/1.71 => ( iLess0(W0,W1)
% 1.20/1.71 => $true ) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mIH,axiom,
% 1.20/1.71 ! [W0] :
% 1.20/1.71 ( aElementOf0(W0,szNzAzT0)
% 1.20/1.71 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mCardS,axiom,
% 1.20/1.71 ! [W0] :
% 1.20/1.71 ( aSet0(W0)
% 1.20/1.71 => aElement0(sbrdtbr0(W0)) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mCardNum,axiom,
% 1.20/1.71 ! [W0] :
% 1.20/1.71 ( aSet0(W0)
% 1.20/1.71 => ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
% 1.20/1.71 <=> isFinite0(W0) ) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mCardEmpty,axiom,
% 1.20/1.71 ! [W0] :
% 1.20/1.71 ( aSet0(W0)
% 1.20/1.71 => ( sbrdtbr0(W0) = sz00
% 1.20/1.71 <=> W0 = slcrc0 ) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mCardCons,axiom,
% 1.20/1.71 ! [W0] :
% 1.20/1.71 ( ( aSet0(W0)
% 1.20/1.71 & isFinite0(W0) )
% 1.20/1.71 => ! [W1] :
% 1.20/1.71 ( aElement0(W1)
% 1.20/1.71 => ( ~ aElementOf0(W1,W0)
% 1.20/1.71 => sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mCardDiff,axiom,
% 1.20/1.71 ! [W0] :
% 1.20/1.71 ( aSet0(W0)
% 1.20/1.71 => ! [W1] :
% 1.20/1.71 ( ( isFinite0(W0)
% 1.20/1.71 & aElementOf0(W1,W0) )
% 1.20/1.71 => szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mCardSub,axiom,
% 1.20/1.71 ! [W0] :
% 1.20/1.71 ( aSet0(W0)
% 1.20/1.71 => ! [W1] :
% 1.20/1.71 ( ( isFinite0(W0)
% 1.20/1.71 & aSubsetOf0(W1,W0) )
% 1.20/1.71 => sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mCardSubEx,axiom,
% 1.20/1.71 ! [W0,W1] :
% 1.20/1.71 ( ( aSet0(W0)
% 1.20/1.71 & aElementOf0(W1,szNzAzT0) )
% 1.20/1.71 => ( ( isFinite0(W0)
% 1.20/1.71 & sdtlseqdt0(W1,sbrdtbr0(W0)) )
% 1.20/1.71 => ? [W2] :
% 1.20/1.71 ( aSubsetOf0(W2,W0)
% 1.20/1.71 & sbrdtbr0(W2) = W1 ) ) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mDefMin,definition,
% 1.20/1.71 ! [W0] :
% 1.20/1.71 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.20/1.71 & W0 != slcrc0 )
% 1.20/1.71 => ! [W1] :
% 1.20/1.71 ( W1 = szmzizndt0(W0)
% 1.20/1.71 <=> ( aElementOf0(W1,W0)
% 1.20/1.71 & ! [W2] :
% 1.20/1.71 ( aElementOf0(W2,W0)
% 1.20/1.71 => sdtlseqdt0(W1,W2) ) ) ) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mDefMax,definition,
% 1.20/1.71 ! [W0] :
% 1.20/1.71 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.20/1.71 & isFinite0(W0)
% 1.20/1.71 & W0 != slcrc0 )
% 1.20/1.71 => ! [W1] :
% 1.20/1.71 ( W1 = szmzazxdt0(W0)
% 1.20/1.71 <=> ( aElementOf0(W1,W0)
% 1.20/1.71 & ! [W2] :
% 1.20/1.71 ( aElementOf0(W2,W0)
% 1.20/1.71 => sdtlseqdt0(W2,W1) ) ) ) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mMinMin,axiom,
% 1.20/1.71 ! [W0,W1] :
% 1.20/1.71 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.20/1.71 & aSubsetOf0(W1,szNzAzT0)
% 1.20/1.71 & W0 != slcrc0
% 1.20/1.71 & W1 != slcrc0 )
% 1.20/1.71 => ( ( aElementOf0(szmzizndt0(W0),W1)
% 1.20/1.71 & aElementOf0(szmzizndt0(W1),W0) )
% 1.20/1.71 => szmzizndt0(W0) = szmzizndt0(W1) ) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mDefSeg,definition,
% 1.20/1.71 ! [W0] :
% 1.20/1.71 ( aElementOf0(W0,szNzAzT0)
% 1.20/1.71 => ! [W1] :
% 1.20/1.71 ( W1 = slbdtrb0(W0)
% 1.20/1.71 <=> ( aSet0(W1)
% 1.20/1.71 & ! [W2] :
% 1.20/1.71 ( aElementOf0(W2,W1)
% 1.20/1.71 <=> ( aElementOf0(W2,szNzAzT0)
% 1.20/1.71 & sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mSegFin,axiom,
% 1.20/1.71 ! [W0] :
% 1.20/1.71 ( aElementOf0(W0,szNzAzT0)
% 1.20/1.71 => isFinite0(slbdtrb0(W0)) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mSegZero,axiom,
% 1.20/1.71 slbdtrb0(sz00) = slcrc0 ).
% 1.20/1.71
% 1.20/1.71 fof(mSegSucc,axiom,
% 1.20/1.71 ! [W0,W1] :
% 1.20/1.71 ( ( aElementOf0(W0,szNzAzT0)
% 1.20/1.71 & aElementOf0(W1,szNzAzT0) )
% 1.20/1.71 => ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1)))
% 1.20/1.71 <=> ( aElementOf0(W0,slbdtrb0(W1))
% 1.20/1.71 | W0 = W1 ) ) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mSegLess,axiom,
% 1.20/1.71 ! [W0,W1] :
% 1.20/1.71 ( ( aElementOf0(W0,szNzAzT0)
% 1.20/1.71 & aElementOf0(W1,szNzAzT0) )
% 1.20/1.71 => ( sdtlseqdt0(W0,W1)
% 1.20/1.71 <=> aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)) ) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mFinSubSeg,axiom,
% 1.20/1.71 ! [W0] :
% 1.20/1.71 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.20/1.71 & isFinite0(W0) )
% 1.20/1.71 => ? [W1] :
% 1.20/1.71 ( aElementOf0(W1,szNzAzT0)
% 1.20/1.71 & aSubsetOf0(W0,slbdtrb0(W1)) ) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mCardSeg,axiom,
% 1.20/1.71 ! [W0] :
% 1.20/1.71 ( aElementOf0(W0,szNzAzT0)
% 1.20/1.71 => sbrdtbr0(slbdtrb0(W0)) = W0 ) ).
% 1.20/1.71
% 1.20/1.71 fof(mDefSel,definition,
% 1.20/1.71 ! [W0,W1] :
% 1.20/1.71 ( ( aSet0(W0)
% 1.20/1.71 & aElementOf0(W1,szNzAzT0) )
% 1.20/1.71 => ! [W2] :
% 1.20/1.71 ( W2 = slbdtsldtrb0(W0,W1)
% 1.20/1.71 <=> ( aSet0(W2)
% 1.20/1.71 & ! [W3] :
% 1.20/1.71 ( aElementOf0(W3,W2)
% 1.20/1.71 <=> ( aSubsetOf0(W3,W0)
% 1.20/1.71 & sbrdtbr0(W3) = W1 ) ) ) ) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mSelFSet,axiom,
% 1.20/1.71 ! [W0] :
% 1.20/1.71 ( ( aSet0(W0)
% 1.20/1.71 & isFinite0(W0) )
% 1.20/1.71 => ! [W1] :
% 1.20/1.71 ( aElementOf0(W1,szNzAzT0)
% 1.20/1.71 => isFinite0(slbdtsldtrb0(W0,W1)) ) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mSelNSet,axiom,
% 1.20/1.71 ! [W0] :
% 1.20/1.71 ( ( aSet0(W0)
% 1.20/1.71 & ~ isFinite0(W0) )
% 1.20/1.71 => ! [W1] :
% 1.20/1.71 ( aElementOf0(W1,szNzAzT0)
% 1.20/1.71 => slbdtsldtrb0(W0,W1) != slcrc0 ) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mSelCSet,axiom,
% 1.20/1.71 ! [W0] :
% 1.20/1.71 ( ( aSet0(W0)
% 1.20/1.71 & isCountable0(W0) )
% 1.20/1.71 => ! [W1] :
% 1.20/1.71 ( ( aElementOf0(W1,szNzAzT0)
% 1.20/1.71 & W1 != sz00 )
% 1.20/1.71 => isCountable0(slbdtsldtrb0(W0,W1)) ) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mSelSub,axiom,
% 1.20/1.71 ! [W0] :
% 1.20/1.71 ( aElementOf0(W0,szNzAzT0)
% 1.20/1.71 => ! [W1,W2] :
% 1.20/1.71 ( ( aSet0(W1)
% 1.20/1.71 & aSet0(W2)
% 1.20/1.71 & W0 != sz00 )
% 1.20/1.71 => ( ( aSubsetOf0(slbdtsldtrb0(W1,W0),slbdtsldtrb0(W2,W0))
% 1.20/1.71 & slbdtsldtrb0(W1,W0) != slcrc0 )
% 1.20/1.71 => aSubsetOf0(W1,W2) ) ) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mSelExtra,axiom,
% 1.20/1.71 ! [W0,W1] :
% 1.20/1.71 ( ( aSet0(W0)
% 1.20/1.71 & aElementOf0(W1,szNzAzT0) )
% 1.20/1.71 => ! [W2] :
% 1.20/1.71 ( ( aSubsetOf0(W2,slbdtsldtrb0(W0,W1))
% 1.20/1.71 & isFinite0(W2) )
% 1.20/1.71 => ? [W3] :
% 1.20/1.71 ( aSubsetOf0(W3,W0)
% 1.20/1.71 & isFinite0(W3)
% 1.20/1.71 & aSubsetOf0(W2,slbdtsldtrb0(W3,W1)) ) ) ) ).
% 1.20/1.71
% 1.20/1.71 fof(mFunSort,axiom,
% 1.20/1.71 ! [W0] :
% 1.20/1.71 ( aFunction0(W0)
% 1.20/1.71 => $true ) ).
% 1.20/1.71
% 1.20/1.71 fof(mDomSet,axiom,
% 1.20/1.72 ! [W0] :
% 1.20/1.72 ( aFunction0(W0)
% 1.20/1.72 => aSet0(szDzozmdt0(W0)) ) ).
% 1.20/1.72
% 1.20/1.72 fof(mImgElm,axiom,
% 1.20/1.72 ! [W0] :
% 1.20/1.72 ( aFunction0(W0)
% 1.20/1.72 => ! [W1] :
% 1.20/1.72 ( aElementOf0(W1,szDzozmdt0(W0))
% 1.20/1.72 => aElement0(sdtlpdtrp0(W0,W1)) ) ) ).
% 1.20/1.72
% 1.20/1.72 fof(mDefPtt,definition,
% 1.20/1.72 ! [W0,W1] :
% 1.20/1.72 ( ( aFunction0(W0)
% 1.20/1.72 & aElement0(W1) )
% 1.20/1.72 => ! [W2] :
% 1.20/1.72 ( W2 = sdtlbdtrb0(W0,W1)
% 1.20/1.72 <=> ( aSet0(W2)
% 1.20/1.72 & ! [W3] :
% 1.20/1.72 ( aElementOf0(W3,W2)
% 1.20/1.72 <=> ( aElementOf0(W3,szDzozmdt0(W0))
% 1.20/1.72 & sdtlpdtrp0(W0,W3) = W1 ) ) ) ) ) ).
% 1.20/1.72
% 1.20/1.72 fof(mPttSet,axiom,
% 1.20/1.72 ! [W0,W1] :
% 1.20/1.72 ( ( aFunction0(W0)
% 1.20/1.72 & aElement0(W1) )
% 1.20/1.72 => aSubsetOf0(sdtlbdtrb0(W0,W1),szDzozmdt0(W0)) ) ).
% 1.20/1.72
% 1.20/1.72 fof(mDefSImg,definition,
% 1.20/1.72 ! [W0] :
% 1.20/1.72 ( aFunction0(W0)
% 1.20/1.72 => ! [W1] :
% 1.20/1.72 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 1.20/1.72 => ! [W2] :
% 1.20/1.72 ( W2 = sdtlcdtrc0(W0,W1)
% 1.20/1.72 <=> ( aSet0(W2)
% 1.20/1.72 & ! [W3] :
% 1.20/1.72 ( aElementOf0(W3,W2)
% 1.20/1.72 <=> ? [W4] :
% 1.20/1.72 ( aElementOf0(W4,W1)
% 1.20/1.72 & sdtlpdtrp0(W0,W4) = W3 ) ) ) ) ) ) ).
% 1.20/1.72
% 1.20/1.72 fof(mImgRng,axiom,
% 1.20/1.72 ! [W0] :
% 1.20/1.72 ( aFunction0(W0)
% 1.20/1.72 => ! [W1] :
% 1.20/1.72 ( aElementOf0(W1,szDzozmdt0(W0))
% 1.20/1.72 => aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))) ) ) ).
% 1.20/1.72
% 1.20/1.72 fof(mDefRst,definition,
% 1.20/1.72 ! [W0] :
% 1.20/1.72 ( aFunction0(W0)
% 1.20/1.72 => ! [W1] :
% 1.20/1.72 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 1.20/1.72 => ! [W2] :
% 1.20/1.72 ( W2 = sdtexdt0(W0,W1)
% 1.20/1.72 <=> ( aFunction0(W2)
% 1.20/1.72 & szDzozmdt0(W2) = W1
% 1.20/1.72 & ! [W3] :
% 1.20/1.72 ( aElementOf0(W3,W1)
% 1.20/1.72 => sdtlpdtrp0(W2,W3) = sdtlpdtrp0(W0,W3) ) ) ) ) ) ).
% 1.20/1.72
% 1.20/1.72 fof(mImgCount,axiom,
% 1.20/1.72 ! [W0] :
% 1.20/1.72 ( aFunction0(W0)
% 1.20/1.72 => ! [W1] :
% 1.20/1.72 ( ( aSubsetOf0(W1,szDzozmdt0(W0))
% 1.20/1.72 & isCountable0(W1) )
% 1.20/1.72 => ( ! [W2,W3] :
% 1.20/1.72 ( ( aElementOf0(W2,szDzozmdt0(W0))
% 1.20/1.72 & aElementOf0(W3,szDzozmdt0(W0))
% 1.20/1.72 & W2 != W3 )
% 1.20/1.72 => sdtlpdtrp0(W0,W2) != sdtlpdtrp0(W0,W3) )
% 1.20/1.72 => isCountable0(sdtlcdtrc0(W0,W1)) ) ) ) ).
% 1.20/1.72
% 1.20/1.72 fof(mDirichlet,axiom,
% 1.20/1.72 ! [W0] :
% 1.20/1.72 ( aFunction0(W0)
% 1.20/1.72 => ( ( isCountable0(szDzozmdt0(W0))
% 1.20/1.72 & isFinite0(sdtlcdtrc0(W0,szDzozmdt0(W0))) )
% 1.20/1.72 => ( aElement0(szDzizrdt0(W0))
% 1.20/1.72 & isCountable0(sdtlbdtrb0(W0,szDzizrdt0(W0))) ) ) ) ).
% 1.20/1.72
% 1.20/1.72 fof(m__3291,hypothesis,
% 1.20/1.72 ( aSet0(xT)
% 1.20/1.72 & isFinite0(xT) ) ).
% 1.20/1.72
% 1.20/1.72 fof(m__3418,hypothesis,
% 1.20/1.72 aElementOf0(xK,szNzAzT0) ).
% 1.20/1.72
% 1.20/1.72 fof(m__3435,hypothesis,
% 1.20/1.72 ( aSubsetOf0(xS,szNzAzT0)
% 1.20/1.72 & isCountable0(xS) ) ).
% 1.20/1.72
% 1.20/1.72 fof(m__3453,hypothesis,
% 1.20/1.72 ( aFunction0(xc)
% 1.20/1.72 & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
% 1.20/1.72 & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ).
% 1.20/1.72
% 1.20/1.72 fof(m__3398,hypothesis,
% 1.20/1.72 ! [W0] :
% 1.20/1.72 ( aElementOf0(W0,szNzAzT0)
% 1.20/1.72 => ! [W1] :
% 1.20/1.72 ( ( aSubsetOf0(W1,szNzAzT0)
% 1.20/1.72 & isCountable0(W1) )
% 1.20/1.72 => ! [W2] :
% 1.20/1.72 ( ( aFunction0(W2)
% 1.20/1.72 & szDzozmdt0(W2) = slbdtsldtrb0(W1,W0)
% 1.20/1.72 & aSubsetOf0(sdtlcdtrc0(W2,szDzozmdt0(W2)),xT) )
% 1.20/1.72 => ( iLess0(W0,xK)
% 1.20/1.72 => ? [W3] :
% 1.20/1.72 ( aElementOf0(W3,xT)
% 1.20/1.72 & ? [W4] :
% 1.20/1.72 ( aSubsetOf0(W4,W1)
% 1.20/1.72 & isCountable0(W4)
% 1.20/1.72 & ! [W5] :
% 1.20/1.72 ( aElementOf0(W5,slbdtsldtrb0(W4,W0))
% 1.20/1.72 => sdtlpdtrp0(W2,W5) = W3 ) ) ) ) ) ) ) ).
% 1.20/1.72
% 1.20/1.72 fof(m__3462,hypothesis,
% 1.20/1.72 xK != sz00 ).
% 1.20/1.72
% 1.20/1.72 fof(m__3520,hypothesis,
% 1.20/1.72 xK != sz00 ).
% 1.20/1.72
% 1.20/1.72 fof(m__3533,hypothesis,
% 1.20/1.72 ( aElementOf0(xk,szNzAzT0)
% 1.20/1.72 & szszuzczcdt0(xk) = xK ) ).
% 1.20/1.72
% 1.20/1.72 fof(m__3623,hypothesis,
% 1.20/1.72 ( aFunction0(xN)
% 1.20/1.72 & szDzozmdt0(xN) = szNzAzT0
% 1.20/1.72 & sdtlpdtrp0(xN,sz00) = xS
% 1.20/1.72 & ! [W0] :
% 1.20/1.72 ( aElementOf0(W0,szNzAzT0)
% 1.20/1.72 => ( ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
% 1.20/1.72 & isCountable0(sdtlpdtrp0(xN,W0)) )
% 1.20/1.72 => ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 1.20/1.72 & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) ) ).
% 1.20/1.72
% 1.20/1.72 fof(m__3671,hypothesis,
% 1.20/1.72 ! [W0] :
% 1.20/1.72 ( aElementOf0(W0,szNzAzT0)
% 1.20/1.72 => ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
% 1.20/1.72 & isCountable0(sdtlpdtrp0(xN,W0)) ) ) ).
% 1.20/1.72
% 1.20/1.72 fof(m__3754,hypothesis,
% 1.20/1.72 ! [W0,W1] :
% 1.20/1.72 ( ( aElementOf0(W0,szNzAzT0)
% 1.20/1.72 & aElementOf0(W1,szNzAzT0) )
% 1.20/1.72 => ( sdtlseqdt0(W1,W0)
% 1.20/1.72 => aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) ).
% 1.20/1.72
% 1.20/1.72 fof(m__3821,hypothesis,
% 1.20/1.72 ! [W0,W1] :
% 1.20/1.72 ( ( aElementOf0(W0,szNzAzT0)
% 1.20/1.72 & aElementOf0(W1,szNzAzT0)
% 1.20/1.72 & W0 != W1 )
% 1.20/1.72 => szmzizndt0(sdtlpdtrp0(xN,W0)) != szmzizndt0(sdtlpdtrp0(xN,W1)) ) ).
% 1.20/1.72
% 1.20/1.72 fof(m__3965,hypothesis,
% 1.20/1.72 ! [W0] :
% 1.20/1.72 ( aElementOf0(W0,szNzAzT0)
% 1.20/1.72 => ! [W1] :
% 1.20/1.72 ( ( aSet0(W1)
% 1.20/1.72 & aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) )
% 1.20/1.72 => aElementOf0(sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))),slbdtsldtrb0(xS,xK)) ) ) ).
% 1.20/1.72
% 1.20/1.72 fof(m__4151,hypothesis,
% 1.20/1.72 ( aFunction0(xC)
% 1.20/1.72 & szDzozmdt0(xC) = szNzAzT0
% 1.20/1.72 & ! [W0] :
% 1.20/1.72 ( aElementOf0(W0,szNzAzT0)
% 1.20/1.72 => ( aFunction0(sdtlpdtrp0(xC,W0))
% 1.20/1.72 & szDzozmdt0(sdtlpdtrp0(xC,W0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)
% 1.20/1.72 & ! [W1] :
% 1.20/1.72 ( ( aSet0(W1)
% 1.20/1.72 & aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) )
% 1.20/1.72 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) = sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) ) ) ).
% 1.20/1.72
% 1.20/1.72 fof(m__4182,hypothesis,
% 1.20/1.72 ! [W0] :
% 1.20/1.72 ( aElementOf0(W0,szNzAzT0)
% 1.20/1.72 => aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,W0),szDzozmdt0(sdtlpdtrp0(xC,W0))),xT) ) ).
% 1.20/1.72
% 1.20/1.72 fof(m__4331,hypothesis,
% 1.20/1.72 ! [W0] :
% 1.20/1.72 ( aElementOf0(W0,szNzAzT0)
% 1.20/1.72 => ! [W1] :
% 1.20/1.72 ( ( aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 1.20/1.72 & isCountable0(W1) )
% 1.20/1.72 => ! [W2] :
% 1.20/1.72 ( ( aSet0(W2)
% 1.20/1.72 & aElementOf0(W2,slbdtsldtrb0(W1,xk)) )
% 1.20/1.72 => aElementOf0(W2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) ) ) ) ).
% 1.20/1.72
% 1.20/1.72 fof(m__4411,hypothesis,
% 1.20/1.72 ! [W0] :
% 1.20/1.72 ( aElementOf0(W0,szNzAzT0)
% 1.20/1.72 => ? [W1] :
% 1.20/1.72 ( aElementOf0(W1,xT)
% 1.20/1.72 & ? [W2] :
% 1.20/1.72 ( aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 1.20/1.72 & isCountable0(W2)
% 1.20/1.72 & ! [W3] :
% 1.20/1.72 ( ( aSet0(W3)
% 1.20/1.72 & aElementOf0(W3,slbdtsldtrb0(W2,xk)) )
% 1.20/1.72 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W3) = W1 ) ) ) ) ).
% 1.20/1.72
% 1.20/1.72 fof(m__4618,hypothesis,
% 1.20/1.72 ! [W0] :
% 1.20/1.72 ( aElementOf0(W0,szNzAzT0)
% 1.20/1.72 => ? [W1] :
% 1.20/1.72 ( aElementOf0(W1,xT)
% 1.20/1.72 & ! [W2] :
% 1.20/1.72 ( ( aSet0(W2)
% 1.20/1.72 & aElementOf0(W2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) )
% 1.20/1.72 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W2) = W1 ) ) ) ).
% 1.20/1.72
% 1.20/1.72 fof(m__4660,hypothesis,
% 1.20/1.72 ( aFunction0(xe)
% 1.20/1.72 & szDzozmdt0(xe) = szNzAzT0
% 1.20/1.72 & ! [W0] :
% 1.20/1.72 ( aElementOf0(W0,szNzAzT0)
% 1.20/1.72 => sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ).
% 1.20/1.72
% 1.20/1.72 fof(m__4730,hypothesis,
% 1.20/1.72 ( aFunction0(xd)
% 1.20/1.72 & szDzozmdt0(xd) = szNzAzT0
% 1.20/1.72 & ! [W0] :
% 1.20/1.72 ( aElementOf0(W0,szNzAzT0)
% 1.20/1.72 => ! [W1] :
% 1.20/1.72 ( ( aSet0(W1)
% 1.20/1.72 & aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) )
% 1.20/1.72 => sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) ) ) ) ).
% 1.20/1.72
% 1.20/1.72 fof(m__4758,hypothesis,
% 1.20/1.72 aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ).
% 1.20/1.72
% 1.20/1.72 fof(m__4854,hypothesis,
% 1.20/1.72 ( aElementOf0(szDzizrdt0(xd),xT)
% 1.20/1.72 & isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ).
% 1.20/1.72
% 1.20/1.72 fof(m__4891,hypothesis,
% 1.20/1.72 ( aSet0(xO)
% 1.20/1.72 & xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ).
% 1.20/1.72
% 1.20/1.72 fof(m__4908,hypothesis,
% 1.20/1.72 ( aSet0(xO)
% 1.20/1.72 & isCountable0(xO) ) ).
% 1.20/1.72
% 1.20/1.72 fof(m__4982,hypothesis,
% 1.20/1.72 ! [W0] :
% 1.20/1.72 ( aElementOf0(W0,xO)
% 1.20/1.72 => ? [W1] :
% 1.20/1.72 ( aElementOf0(W1,szNzAzT0)
% 1.20/1.72 & aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
% 1.20/1.72 & sdtlpdtrp0(xe,W1) = W0 ) ) ).
% 1.20/1.72
% 1.20/1.72 fof(m__4998,hypothesis,
% 1.20/1.72 aSubsetOf0(xO,xS) ).
% 1.20/1.72
% 1.20/1.72 fof(m__,conjecture,
% 1.20/1.72 ( ! [W0] :
% 1.20/1.72 ( aElementOf0(W0,slbdtsldtrb0(xO,xK))
% 1.20/1.72 => ( W0 != slcrc0
% 1.20/1.72 & aSubsetOf0(W0,szNzAzT0)
% 1.20/1.72 & aElementOf0(W0,szDzozmdt0(xc))
% 1.20/1.72 & sdtlpdtrp0(xc,W0) = szDzizrdt0(xd) ) )
% 1.20/1.72 => ? [W0] :
% 1.20/1.72 ( aElementOf0(W0,xT)
% 1.20/1.72 & ? [W1] :
% 1.20/1.72 ( aSubsetOf0(W1,xS)
% 1.20/1.72 & isCountable0(W1)
% 1.20/1.72 & ! [W2] :
% 1.20/1.72 ( aElementOf0(W2,slbdtsldtrb0(W1,xK))
% 1.20/1.72 => sdtlpdtrp0(xc,W2) = W0 ) ) ) ) ).
% 1.20/1.72
% 1.20/1.72 %------------------------------------------------------------------------------
% 1.20/1.72 %-------------------------------------------
% 1.20/1.72 % Proof found
% 1.20/1.72 % SZS status Theorem for theBenchmark
% 1.20/1.72 % SZS output start Proof
% 1.20/1.73 %ClaNum:293(EqnAxiom:94)
% 1.20/1.73 %VarNum:1249(SingletonVarNum:366)
% 1.20/1.73 %MaxLitNum:9
% 1.20/1.73 %MaxfuncDepth:4
% 1.20/1.73 %SharedTerms:60
% 1.20/1.73 %goalClause: 178 191 197 203 234 235
% 1.20/1.73 [101]P1(a42)
% 1.20/1.73 [102]P1(a50)
% 1.20/1.73 [104]P1(a51)
% 1.20/1.73 [105]P5(a38)
% 1.20/1.73 [106]P5(a50)
% 1.20/1.73 [107]P6(a42)
% 1.20/1.73 [108]P6(a52)
% 1.20/1.73 [109]P6(a51)
% 1.20/1.73 [110]P2(a53)
% 1.20/1.73 [111]P2(a47)
% 1.20/1.73 [112]P2(a46)
% 1.20/1.73 [113]P2(a48)
% 1.20/1.73 [114]P2(a49)
% 1.20/1.73 [116]P3(a3,a42)
% 1.20/1.73 [117]P3(a45,a42)
% 1.20/1.73 [118]P3(a1,a42)
% 1.20/1.73 [119]P7(a52,a42)
% 1.20/1.73 [120]P7(a51,a52)
% 1.20/1.73 [128]~E(a3,a45)
% 1.20/1.73 [95]E(f2(a1),a45)
% 1.20/1.73 [96]E(f4(a3),a38)
% 1.20/1.73 [97]E(f40(a47),a42)
% 1.20/1.73 [98]E(f40(a46),a42)
% 1.20/1.73 [99]E(f40(a48),a42)
% 1.20/1.73 [100]E(f40(a49),a42)
% 1.20/1.73 [115]E(f5(a47,a3),a52)
% 1.20/1.73 [121]E(f39(a52,a45),f40(a53))
% 1.20/1.73 [122]P3(f41(a49),a50)
% 1.20/1.73 [123]P6(f6(a49,f41(a49)))
% 1.20/1.73 [125]P7(f35(a53,f40(a53)),a50)
% 1.20/1.73 [126]P7(f35(a49,f40(a49)),a50)
% 1.20/1.73 [124]E(f35(a48,f6(a49,f41(a49))),a51)
% 1.20/1.73 [129]P1(x1291)+~E(x1291,a38)
% 1.20/1.73 [136]~P1(x1361)+P7(x1361,x1361)
% 1.20/1.73 [144]~P3(x1441,a42)+P9(a3,x1441)
% 1.20/1.73 [150]P9(x1501,x1501)+~P3(x1501,a42)
% 1.20/1.73 [133]~P2(x1331)+P1(f40(x1331))
% 1.20/1.73 [134]~P1(x1341)+P4(f7(x1341))
% 1.20/1.73 [138]~P3(x1381,a42)+~E(f2(x1381),a3)
% 1.20/1.73 [139]~P3(x1391,a42)+~E(f2(x1391),x1391)
% 1.20/1.73 [141]~P3(x1411,a42)+P5(f4(x1411))
% 1.20/1.73 [142]~P3(x1421,a42)+P6(f19(x1421))
% 1.20/1.73 [151]~P3(x1511,a42)+P3(f2(x1511),a42)
% 1.20/1.73 [152]~P3(x1521,a42)+P3(f20(x1521),a50)
% 1.20/1.73 [153]~P3(x1531,a42)+P3(f24(x1531),a50)
% 1.20/1.73 [154]~P3(x1541,a51)+P3(f25(x1541),a42)
% 1.20/1.73 [156]~P3(x1561,a42)+P9(x1561,f2(x1561))
% 1.20/1.73 [157]~P3(x1571,a42)+P8(x1571,f2(x1571))
% 1.20/1.73 [166]~P3(x1661,a42)+P6(f5(a47,x1661))
% 1.20/1.73 [167]~P3(x1671,a42)+P2(f5(a46,x1671))
% 1.20/1.73 [168]~P3(x1681,a42)+~P9(f2(x1681),a3)
% 1.20/1.73 [176]~P3(x1761,a42)+P7(f5(a47,x1761),a42)
% 1.20/1.73 [178]~E(x1781,a38)+~P3(x1781,f39(a51,a45))
% 1.20/1.73 [191]P7(x1911,a42)+~P3(x1911,f39(a51,a45))
% 1.20/1.73 [197]~P3(x1971,f39(a51,a45))+E(f5(a53,x1971),f41(a49))
% 1.20/1.73 [203]~P3(x2031,f39(a51,a45))+P3(x2031,f40(a53))
% 1.20/1.73 [143]~P3(x1431,a42)+E(f7(f4(x1431)),x1431)
% 1.20/1.73 [155]~P3(x1551,a51)+E(f5(a48,f25(x1551)),x1551)
% 1.20/1.73 [179]~P3(x1791,a42)+E(f43(f5(a47,x1791)),f5(a48,x1791))
% 1.20/1.73 [199]~P3(x1991,a51)+P3(f25(x1991),f6(a49,f41(a49)))
% 1.20/1.73 [257]~P3(x2571,a42)+P7(f35(f5(a46,x2571),f40(f5(a46,x2571))),a50)
% 1.20/1.73 [259]~P3(x2591,a42)+P7(f19(x2591),f37(f5(a47,x2591),f43(f5(a47,x2591))))
% 1.20/1.73 [261]~P3(x2611,a42)+E(f39(f37(f5(a47,x2611),f43(f5(a47,x2611))),a1),f40(f5(a46,x2611)))
% 1.20/1.73 [137]~P3(x1372,x1371)+~E(x1371,a38)
% 1.20/1.73 [132]~P1(x1321)+~P6(x1321)+~E(x1321,a38)
% 1.20/1.73 [135]~P5(x1351)+~P6(x1351)+~P1(x1351)
% 1.20/1.73 [130]~P1(x1301)+~E(x1301,a38)+E(f7(x1301),a3)
% 1.20/1.73 [131]~P1(x1311)+E(x1311,a38)+~E(f7(x1311),a3)
% 1.20/1.73 [140]~P1(x1401)+P3(f8(x1401),x1401)+E(x1401,a38)
% 1.20/1.73 [147]~P1(x1471)+~P5(x1471)+P3(f7(x1471),a42)
% 1.20/1.73 [158]~P3(x1581,a42)+E(x1581,a3)+P3(f23(x1581),a42)
% 1.20/1.73 [159]~P1(x1591)+P5(x1591)+~P3(f7(x1591),a42)
% 1.20/1.73 [165]~P5(x1651)+~P7(x1651,a42)+P3(f9(x1651),a42)
% 1.20/1.73 [145]~P3(x1451,a42)+E(x1451,a3)+E(f2(f23(x1451)),x1451)
% 1.20/1.73 [180]~P5(x1801)+~P7(x1801,a42)+P7(x1801,f4(f9(x1801)))
% 1.20/1.73 [148]~P7(x1481,x1482)+P1(x1481)+~P1(x1482)
% 1.20/1.73 [149]~P3(x1491,x1492)+P4(x1491)+~P1(x1492)
% 1.20/1.73 [146]P1(x1461)+~P3(x1462,a42)+~E(x1461,f4(x1462))
% 1.20/1.73 [181]~P4(x1812)+~P2(x1811)+P7(f6(x1811,x1812),f40(x1811))
% 1.20/1.73 [200]~P2(x2001)+~P3(x2002,f40(x2001))+P4(f5(x2001,x2002))
% 1.20/1.73 [202]~P1(x2021)+~P3(x2022,x2021)+E(f36(f37(x2021,x2022),x2022),x2021)
% 1.20/1.73 [241]~P2(x2411)+~P3(x2412,f40(x2411))+P3(f5(x2411,x2412),f35(x2411,f40(x2411)))
% 1.20/1.73 [229]~P2(x2291)+~P6(f40(x2291))+P4(f41(x2291))+~P5(f35(x2291,f40(x2291)))
% 1.20/1.73 [250]~P2(x2501)+~P6(f40(x2501))+~P5(f35(x2501,f40(x2501)))+P6(f6(x2501,f41(x2501)))
% 1.20/1.73 [254]~P3(x2541,a42)+~P7(f5(a47,x2541),a42)+~P6(f5(a47,x2541))+P6(f5(a47,f2(x2541)))
% 1.20/1.73 [278]~P3(x2781,a42)+~P7(f5(a47,x2781),a42)+~P6(f5(a47,x2781))+P7(f5(a47,f2(x2781)),f37(f5(a47,x2781),f43(f5(a47,x2781))))
% 1.20/1.73 [160]~P5(x1602)+~P7(x1601,x1602)+P5(x1601)+~P1(x1602)
% 1.20/1.73 [164]P3(x1642,x1641)+~E(x1642,f43(x1641))+~P7(x1641,a42)+E(x1641,a38)
% 1.20/1.73 [170]~P1(x1701)+~P4(x1702)+~P5(x1701)+P5(f36(x1701,x1702))
% 1.20/1.73 [171]~P1(x1711)+~P4(x1712)+~P5(x1711)+P5(f37(x1711,x1712))
% 1.20/1.73 [172]~P1(x1721)+~P4(x1722)+~P6(x1721)+P6(f36(x1721,x1722))
% 1.20/1.73 [173]~P1(x1731)+~P4(x1732)+~P6(x1731)+P6(f37(x1731,x1732))
% 1.20/1.73 [174]~P1(x1741)+P5(x1741)+~P3(x1742,a42)+~E(f39(x1741,x1742),a38)
% 1.20/1.73 [177]E(x1771,x1772)+~E(f2(x1771),f2(x1772))+~P3(x1772,a42)+~P3(x1771,a42)
% 1.20/1.73 [184]~P1(x1842)+~P5(x1842)+~P7(x1841,x1842)+P9(f7(x1841),f7(x1842))
% 1.20/1.73 [187]~P1(x1871)+~P5(x1871)+~P3(x1872,a42)+P5(f39(x1871,x1872))
% 1.20/1.73 [198]~P1(x1981)+~P1(x1982)+P7(x1981,x1982)+P3(f26(x1982,x1981),x1981)
% 1.20/1.73 [207]P9(x2071,x2072)+P9(f2(x2072),x2071)+~P3(x2072,a42)+~P3(x2071,a42)
% 1.20/1.73 [219]~P9(x2191,x2192)+~P3(x2192,a42)+~P3(x2191,a42)+P7(f4(x2191),f4(x2192))
% 1.20/1.73 [220]~P9(x2201,x2202)+~P3(x2202,a42)+~P3(x2201,a42)+P9(f2(x2201),f2(x2202))
% 1.20/1.73 [222]~P1(x2221)+~P1(x2222)+P7(x2221,x2222)+~P3(f26(x2222,x2221),x2222)
% 1.20/1.73 [224]P9(x2241,x2242)+~P3(x2242,a42)+~P3(x2241,a42)+~P7(f4(x2241),f4(x2242))
% 1.20/1.73 [225]P9(x2251,x2252)+~P3(x2252,a42)+~P3(x2251,a42)+~P9(f2(x2251),f2(x2252))
% 1.20/1.73 [235]~P6(x2352)+~P3(x2351,a50)+~P7(x2352,a52)+P3(f27(x2351,x2352),f39(x2352,a45))
% 1.20/1.73 [245]~P9(x2452,x2451)+~P3(x2452,a42)+~P3(x2451,a42)+P7(f5(a47,x2451),f5(a47,x2452))
% 1.20/1.73 [201]P3(x2012,x2011)+~P1(x2011)+~P4(x2012)+E(f37(f36(x2011,x2012),x2012),x2011)
% 1.20/1.73 [210]~E(x2101,x2102)+~P3(x2102,a42)+~P3(x2101,a42)+P3(x2101,f4(f2(x2102)))
% 1.20/1.73 [231]~P3(x2312,a42)+~P3(x2311,a42)+~P3(x2311,f4(x2312))+P3(x2311,f4(f2(x2312)))
% 1.20/1.73 [234]~P6(x2342)+~P3(x2341,a50)+~P7(x2342,a52)+~E(f5(a53,f27(x2341,x2342)),x2341)
% 1.20/1.73 [249]E(x2491,x2492)+~P3(x2492,a42)+~P3(x2491,a42)+~E(f43(f5(a47,x2491)),f43(f5(a47,x2492)))
% 1.20/1.73 [252]~P1(x2522)+~P3(x2521,a42)+E(f5(f5(a46,x2521),x2522),f20(x2521))+~P3(x2522,f39(f19(x2521),a1))
% 1.20/1.73 [230]~P1(x2301)+~P5(x2301)+~P3(x2302,x2301)+E(f2(f7(f37(x2301,x2302))),f7(x2301))
% 1.20/1.73 [262]~P1(x2622)+~P3(x2621,a42)+E(f5(f5(a46,x2621),x2622),f24(x2621))+~P3(x2622,f39(f5(a47,f2(x2621)),a1))
% 1.20/1.73 [264]~P1(x2642)+~P3(x2641,a42)+E(f5(f5(a46,x2641),x2642),f5(a49,x2641))+~P3(x2642,f39(f5(a47,f2(x2641)),a1))
% 1.20/1.73 [292]~P1(x2921)+~P3(x2922,a42)+P3(f36(x2921,f43(f5(a47,x2922))),f39(a52,a45))+~P3(x2921,f39(f37(f5(a47,x2922),f43(f5(a47,x2922))),a1))
% 1.20/1.73 [293]~P1(x2931)+~P3(x2932,a42)+~P3(x2931,f39(f37(f5(a47,x2932),f43(f5(a47,x2932))),a1))+E(f5(a53,f36(x2931,f43(f5(a47,x2932)))),f5(f5(a46,x2932),x2931))
% 1.20/1.73 [192]~P1(x1922)+~P7(x1923,x1922)+P3(x1921,x1922)+~P3(x1921,x1923)
% 1.20/1.73 [161]~P1(x1612)+~P4(x1613)+P1(x1611)+~E(x1611,f36(x1612,x1613))
% 1.20/1.73 [162]~P1(x1622)+~P4(x1623)+P1(x1621)+~E(x1621,f37(x1622,x1623))
% 1.20/1.73 [163]~P4(x1633)+~P2(x1632)+P1(x1631)+~E(x1631,f6(x1632,x1633))
% 1.20/1.73 [175]~P1(x1752)+P1(x1751)+~P3(x1753,a42)+~E(x1751,f39(x1752,x1753))
% 1.20/1.73 [185]~P3(x1851,x1852)+~P3(x1853,a42)+P3(x1851,a42)+~E(x1852,f4(x1853))
% 1.20/1.73 [194]~P2(x1942)+P1(x1941)+~P7(x1943,f40(x1942))+~E(x1941,f35(x1942,x1943))
% 1.20/1.73 [195]~P2(x1952)+P2(x1951)+~P7(x1953,f40(x1952))+~E(x1951,f34(x1952,x1953))
% 1.20/1.73 [196]~P2(x1963)+~P7(x1962,f40(x1963))+E(f40(x1961),x1962)+~E(x1961,f34(x1963,x1962))
% 1.20/1.73 [204]~P3(x2041,x2043)+~P3(x2042,a42)+P9(f2(x2041),x2042)+~E(x2043,f4(x2042))
% 1.20/1.73 [182]~P1(x1822)+~P1(x1821)+~P7(x1822,x1821)+~P7(x1821,x1822)+E(x1821,x1822)
% 1.20/1.73 [217]~P9(x2172,x2171)+~P9(x2171,x2172)+E(x2171,x2172)+~P3(x2172,a42)+~P3(x2171,a42)
% 1.20/1.73 [169]~P5(x1691)+P3(x1692,x1691)+~E(x1692,f44(x1691))+~P7(x1691,a42)+E(x1691,a38)
% 1.20/1.73 [190]~P1(x1902)+~P6(x1902)+~P3(x1901,a42)+E(x1901,a3)+P6(f39(x1902,x1901))
% 1.20/1.73 [221]~P3(x2212,x2211)+P3(f30(x2211,x2212),x2211)+~P7(x2211,a42)+E(x2211,a38)+E(x2212,f43(x2211))
% 1.20/1.73 [232]~P1(x2321)+~P5(x2321)+~P3(x2322,a42)+~P9(x2322,f7(x2321))+P7(f31(x2321,x2322),x2321)
% 1.20/1.73 [236]~P1(x2361)+P3(f33(x2362,x2361),x2361)+~P3(x2362,a42)+E(x2361,f4(x2362))+P3(f33(x2362,x2361),a42)
% 1.20/1.73 [237]~P3(x2372,x2371)+~P7(x2371,a42)+~P9(x2372,f30(x2371,x2372))+E(x2371,a38)+E(x2372,f43(x2371))
% 1.20/1.73 [244]~P6(x2442)+~P2(x2441)+~E(f10(x2441,x2442),f11(x2441,x2442))+~P7(x2442,f40(x2441))+P6(f35(x2441,x2442))
% 1.20/1.73 [246]~P6(x2462)+~P2(x2461)+P3(f11(x2461,x2462),f40(x2461))+~P7(x2462,f40(x2461))+P6(f35(x2461,x2462))
% 1.20/1.73 [247]~P6(x2472)+~P2(x2471)+P3(f10(x2471,x2472),f40(x2471))+~P7(x2472,f40(x2471))+P6(f35(x2471,x2472))
% 1.20/1.73 [209]P3(x2092,x2091)+~P1(x2091)+~P4(x2092)+~P5(x2091)+E(f7(f36(x2091,x2092)),f2(f7(x2091)))
% 1.20/1.73 [228]~P1(x2281)+~P5(x2281)+~P3(x2282,a42)+~P9(x2282,f7(x2281))+E(f7(f31(x2281,x2282)),x2282)
% 1.20/1.73 [239]E(x2391,x2392)+P3(x2391,f4(x2392))+~P3(x2392,a42)+~P3(x2391,a42)+~P3(x2391,f4(f2(x2392)))
% 1.20/1.73 [251]~P1(x2511)+P3(f33(x2512,x2511),x2511)+~P3(x2512,a42)+E(x2511,f4(x2512))+P9(f2(f33(x2512,x2511)),x2512)
% 1.20/1.73 [253]~P6(x2532)+~P2(x2531)+~P7(x2532,f40(x2531))+P6(f35(x2531,x2532))+E(f5(x2531,f10(x2531,x2532)),f5(x2531,f11(x2531,x2532)))
% 1.20/1.73 [193]~P3(x1933,x1931)+P9(x1932,x1933)+~E(x1932,f43(x1931))+~P7(x1931,a42)+E(x1931,a38)
% 1.20/1.73 [223]P3(x2231,x2232)+~P3(x2233,a42)+~P3(x2231,a42)+~P9(f2(x2231),x2233)+~E(x2232,f4(x2233))
% 1.20/1.73 [258]~P1(x2581)+~P5(x2583)+~P3(x2582,a42)+~P7(x2583,f39(x2581,x2582))+P5(f13(x2581,x2582,x2583))
% 1.20/1.73 [260]~P1(x2601)+~P5(x2603)+~P3(x2602,a42)+~P7(x2603,f39(x2601,x2602))+P7(f13(x2601,x2602,x2603),x2601)
% 1.20/1.73 [279]~P1(x2792)+~P5(x2791)+~P3(x2793,a42)+~P7(x2791,f39(x2792,x2793))+P7(x2791,f39(f13(x2792,x2793,x2791),x2793))
% 1.20/1.73 [186]~P1(x1864)+~P4(x1862)+~P3(x1861,x1863)+~E(x1861,x1862)+~E(x1863,f37(x1864,x1862))
% 1.20/1.73 [188]~P1(x1883)+~P4(x1884)+~P3(x1881,x1882)+P4(x1881)+~E(x1882,f36(x1883,x1884))
% 1.20/1.73 [189]~P1(x1893)+~P4(x1894)+~P3(x1891,x1892)+P4(x1891)+~E(x1892,f37(x1893,x1894))
% 1.20/1.73 [206]~P1(x2062)+~P4(x2064)+~P3(x2061,x2063)+P3(x2061,x2062)+~E(x2063,f37(x2062,x2064))
% 1.20/1.73 [208]~P4(x2083)+~P2(x2081)+~P3(x2082,x2084)+E(f5(x2081,x2082),x2083)+~E(x2084,f6(x2081,x2083))
% 1.20/1.73 [212]~P1(x2124)+~P3(x2121,x2123)+~P3(x2122,a42)+E(f7(x2121),x2122)+~E(x2123,f39(x2124,x2122))
% 1.20/1.73 [214]~P4(x2144)+~P2(x2142)+~P3(x2141,x2143)+P3(x2141,f40(x2142))+~E(x2143,f6(x2142,x2144))
% 1.20/1.73 [218]~P1(x2182)+~P3(x2181,x2183)+P7(x2181,x2182)+~P3(x2184,a42)+~E(x2183,f39(x2182,x2184))
% 1.20/1.73 [238]~P2(x2383)+~P3(x2382,x2384)+~P7(x2384,f40(x2383))+E(f5(x2381,x2382),f5(x2383,x2382))+~E(x2381,f34(x2383,x2384))
% 1.20/1.73 [285]~P2(x2851)+~P3(x2854,x2853)+~E(x2853,f35(x2851,x2852))+~P7(x2852,f40(x2851))+P3(f17(x2851,x2852,x2853,x2854),x2852)
% 1.20/1.73 [286]~P2(x2861)+~P3(x2864,x2863)+~E(x2863,f35(x2861,x2862))+~P7(x2862,f40(x2861))+E(f5(x2861,f17(x2861,x2862,x2863,x2864)),x2864)
% 1.20/1.73 [227]~P5(x2271)+~P3(x2272,x2271)+P3(f32(x2271,x2272),x2271)+~P7(x2271,a42)+E(x2271,a38)+E(x2272,f44(x2271))
% 1.20/1.73 [242]~P5(x2421)+~P3(x2422,x2421)+~P7(x2421,a42)+~P9(f32(x2421,x2422),x2422)+E(x2421,a38)+E(x2422,f44(x2421))
% 1.20/1.73 [267]~P1(x2671)+~P3(x2672,a42)+~P3(f33(x2672,x2671),x2671)+E(x2671,f4(x2672))+~P3(f33(x2672,x2671),a42)+~P9(f2(f33(x2672,x2671)),x2672)
% 1.20/1.73 [213]~P1(x2132)+~P1(x2131)+~P7(x2133,x2132)+~P7(x2131,x2133)+P7(x2131,x2132)+~P1(x2133)
% 1.20/1.73 [243]~P9(x2431,x2433)+P9(x2431,x2432)+~P9(x2433,x2432)+~P3(x2432,a42)+~P3(x2433,a42)+~P3(x2431,a42)
% 1.20/1.73 [205]~P5(x2051)+~P3(x2052,x2051)+P9(x2052,x2053)+~E(x2053,f44(x2051))+~P7(x2051,a42)+E(x2051,a38)
% 1.20/1.73 [256]~P2(x2561)+~P2(x2562)+P3(f12(x2562,x2563,x2561),x2563)+~E(f40(x2561),x2563)+~P7(x2563,f40(x2562))+E(x2561,f34(x2562,x2563))
% 1.20/1.73 [263]~P1(x2631)+~P1(x2632)+~P4(x2633)+P3(f28(x2632,x2633,x2631),x2631)+~E(f28(x2632,x2633,x2631),x2633)+E(x2631,f37(x2632,x2633))
% 1.20/1.73 [265]~P1(x2651)+~P1(x2652)+~P4(x2653)+P3(f29(x2652,x2653,x2651),x2651)+E(x2651,f36(x2652,x2653))+P4(f29(x2652,x2653,x2651))
% 1.20/1.73 [266]~P1(x2661)+~P1(x2662)+~P4(x2663)+P3(f28(x2662,x2663,x2661),x2661)+E(x2661,f37(x2662,x2663))+P4(f28(x2662,x2663,x2661))
% 1.20/1.73 [268]~P1(x2681)+~P1(x2682)+~P4(x2683)+P3(f28(x2682,x2683,x2681),x2681)+P3(f28(x2682,x2683,x2681),x2682)+E(x2681,f37(x2682,x2683))
% 1.20/1.73 [271]~P1(x2711)+~P4(x2713)+~P2(x2712)+P3(f15(x2712,x2713,x2711),x2711)+P3(f15(x2712,x2713,x2711),f40(x2712))+E(x2711,f6(x2712,x2713))
% 1.20/1.73 [272]~P1(x2721)+~P1(x2722)+P3(f14(x2722,x2723,x2721),x2721)+P7(f14(x2722,x2723,x2721),x2722)+~P3(x2723,a42)+E(x2721,f39(x2722,x2723))
% 1.20/1.73 [275]~P1(x2751)+~P2(x2752)+P3(f16(x2752,x2753,x2751),x2751)+P3(f18(x2752,x2753,x2751),x2753)+~P7(x2753,f40(x2752))+E(x2751,f35(x2752,x2753))
% 1.20/1.73 [269]~P1(x2691)+~P4(x2693)+~P2(x2692)+P3(f15(x2692,x2693,x2691),x2691)+E(x2691,f6(x2692,x2693))+E(f5(x2692,f15(x2692,x2693,x2691)),x2693)
% 1.20/1.73 [270]~P1(x2701)+~P1(x2702)+P3(f14(x2702,x2703,x2701),x2701)+~P3(x2703,a42)+E(x2701,f39(x2702,x2703))+E(f7(f14(x2702,x2703,x2701)),x2703)
% 1.20/1.73 [280]~P1(x2801)+~P2(x2802)+P3(f16(x2802,x2803,x2801),x2801)+~P7(x2803,f40(x2802))+E(x2801,f35(x2802,x2803))+E(f5(x2802,f18(x2802,x2803,x2801)),f16(x2802,x2803,x2801))
% 1.20/1.73 [282]~P2(x2822)+~P2(x2821)+~E(f40(x2821),x2823)+~P7(x2823,f40(x2822))+E(x2821,f34(x2822,x2823))+~E(f5(x2821,f12(x2822,x2823,x2821)),f5(x2822,f12(x2822,x2823,x2821)))
% 1.20/1.73 [291]~P1(x2911)+~P6(x2913)+~P3(x2912,a42)+~P3(x2911,f39(x2913,a1))+~P7(x2913,f37(f5(a47,x2912),f43(f5(a47,x2912))))+P3(x2911,f39(f37(f5(a47,x2912),f43(f5(a47,x2912))),a1))
% 1.20/1.73 [183]~P1(x1834)+~P4(x1833)+~P4(x1831)+P3(x1831,x1832)+~E(x1831,x1833)+~E(x1832,f36(x1834,x1833))
% 1.20/1.73 [211]~P1(x2113)+~P4(x2112)+~P3(x2111,x2114)+E(x2111,x2112)+P3(x2111,x2113)+~E(x2114,f36(x2113,x2112))
% 1.20/1.73 [215]~P1(x2153)+~P4(x2154)+~P4(x2151)+~P3(x2151,x2153)+P3(x2151,x2152)+~E(x2152,f36(x2153,x2154))
% 1.20/1.73 [226]~P1(x2264)+~P7(x2261,x2264)+P3(x2261,x2262)+~P3(x2263,a42)+~E(x2262,f39(x2264,x2263))+~E(f7(x2261),x2263)
% 1.20/1.73 [233]~P4(x2334)+~P2(x2333)+P3(x2331,x2332)+~E(f5(x2333,x2331),x2334)+~P3(x2331,f40(x2333))+~E(x2332,f6(x2333,x2334))
% 1.20/1.73 [248]~P2(x2483)+~P3(x2485,x2484)+P3(x2481,x2482)+~P7(x2484,f40(x2483))+~E(x2482,f35(x2483,x2484))+~E(f5(x2483,x2485),x2481)
% 1.20/1.73 [240]E(f43(x2402),f43(x2401))+~P7(x2401,a42)+~P7(x2402,a42)+~P3(f43(x2401),x2402)+~P3(f43(x2402),x2401)+E(x2401,a38)+E(x2402,a38)
% 1.20/1.73 [255]~P1(x2553)+~P1(x2552)+P7(x2552,x2553)+~P3(x2551,a42)+~P7(f39(x2552,x2551),f39(x2553,x2551))+E(x2551,a3)+E(f39(x2552,x2551),a38)
% 1.20/1.73 [277]~P1(x2771)+~P1(x2772)+~P4(x2773)+E(f29(x2772,x2773,x2771),x2773)+P3(f29(x2772,x2773,x2771),x2771)+P3(f29(x2772,x2773,x2771),x2772)+E(x2771,f36(x2772,x2773))
% 1.20/1.73 [283]~P1(x2831)+~P1(x2832)+~P4(x2833)+~E(f29(x2832,x2833,x2831),x2833)+~P3(f29(x2832,x2833,x2831),x2831)+E(x2831,f36(x2832,x2833))+~P4(f29(x2832,x2833,x2831))
% 1.20/1.73 [284]~P1(x2841)+~P1(x2842)+~P4(x2843)+~P3(f29(x2842,x2843,x2841),x2841)+~P3(f29(x2842,x2843,x2841),x2842)+E(x2841,f36(x2842,x2843))+~P4(f29(x2842,x2843,x2841))
% 1.20/1.73 [287]~P1(x2871)+~P1(x2872)+~P3(x2873,a42)+~P3(f14(x2872,x2873,x2871),x2871)+~P7(f14(x2872,x2873,x2871),x2872)+E(x2871,f39(x2872,x2873))+~E(f7(f14(x2872,x2873,x2871)),x2873)
% 1.20/1.73 [288]~P1(x2881)+~P4(x2883)+~P2(x2882)+~P3(f15(x2882,x2883,x2881),x2881)+~P3(f15(x2882,x2883,x2881),f40(x2882))+E(x2881,f6(x2882,x2883))+~E(f5(x2882,f15(x2882,x2883,x2881)),x2883)
% 1.20/1.73 [216]~P1(x2164)+~P4(x2162)+~P4(x2161)+~P3(x2161,x2164)+E(x2161,x2162)+P3(x2161,x2163)+~E(x2163,f37(x2164,x2162))
% 1.20/1.73 [281]~P1(x2811)+~P2(x2812)+~P3(x2814,x2813)+~P7(x2813,f40(x2812))+~P3(f16(x2812,x2813,x2811),x2811)+~E(f5(x2812,x2814),f16(x2812,x2813,x2811))+E(x2811,f35(x2812,x2813))
% 1.20/1.74 [289]~P1(x2891)+~P1(x2892)+~P4(x2893)+E(f28(x2892,x2893,x2891),x2893)+~P3(f28(x2892,x2893,x2891),x2891)+~P3(f28(x2892,x2893,x2891),x2892)+E(x2891,f37(x2892,x2893))+~P4(f28(x2892,x2893,x2891))
% 1.20/1.74 [273]~P6(x2732)+~P2(x2733)+~E(f40(x2733),f39(x2732,x2731))+~P3(x2731,a42)+~P7(x2732,a42)+~P8(x2731,a45)+P6(f21(x2731,x2732,x2733))+~P7(f35(x2733,f40(x2733)),a50)
% 1.20/1.74 [274]~P6(x2742)+~P2(x2743)+~E(f40(x2743),f39(x2742,x2741))+~P3(x2741,a42)+~P7(x2742,a42)+~P8(x2741,a45)+P3(f22(x2741,x2742,x2743),a50)+~P7(f35(x2743,f40(x2743)),a50)
% 1.20/1.74 [276]~P6(x2762)+~P2(x2763)+~E(f40(x2763),f39(x2762,x2761))+~P3(x2761,a42)+~P7(x2762,a42)+~P8(x2761,a45)+P7(f21(x2761,x2762,x2763),x2762)+~P7(f35(x2763,f40(x2763)),a50)
% 1.20/1.74 [290]~P6(x2904)+~P2(x2901)+~E(f40(x2901),f39(x2904,x2903))+~P3(x2903,a42)+~P7(x2904,a42)+~P8(x2903,a45)+E(f5(x2901,x2902),f22(x2903,x2904,x2901))+~P3(x2902,f39(f21(x2903,x2904,x2901),x2903))+~P7(f35(x2901,f40(x2901)),a50)
% 1.20/1.74 %EqnAxiom
% 1.20/1.74 [1]E(x11,x11)
% 1.20/1.74 [2]E(x22,x21)+~E(x21,x22)
% 1.20/1.74 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.20/1.74 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 1.20/1.74 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 1.20/1.74 [6]~E(x61,x62)+E(f40(x61),f40(x62))
% 1.20/1.74 [7]~E(x71,x72)+E(f5(x71,x73),f5(x72,x73))
% 1.20/1.74 [8]~E(x81,x82)+E(f5(x83,x81),f5(x83,x82))
% 1.20/1.74 [9]~E(x91,x92)+E(f15(x91,x93,x94),f15(x92,x93,x94))
% 1.20/1.74 [10]~E(x101,x102)+E(f15(x103,x101,x104),f15(x103,x102,x104))
% 1.20/1.74 [11]~E(x111,x112)+E(f15(x113,x114,x111),f15(x113,x114,x112))
% 1.20/1.74 [12]~E(x121,x122)+E(f6(x121,x123),f6(x122,x123))
% 1.20/1.74 [13]~E(x131,x132)+E(f6(x133,x131),f6(x133,x132))
% 1.20/1.74 [14]~E(x141,x142)+E(f37(x141,x143),f37(x142,x143))
% 1.20/1.74 [15]~E(x151,x152)+E(f37(x153,x151),f37(x153,x152))
% 1.20/1.74 [16]~E(x161,x162)+E(f39(x161,x163),f39(x162,x163))
% 1.20/1.74 [17]~E(x171,x172)+E(f39(x173,x171),f39(x173,x172))
% 1.20/1.74 [18]~E(x181,x182)+E(f14(x181,x183,x184),f14(x182,x183,x184))
% 1.20/1.74 [19]~E(x191,x192)+E(f14(x193,x191,x194),f14(x193,x192,x194))
% 1.20/1.74 [20]~E(x201,x202)+E(f14(x203,x204,x201),f14(x203,x204,x202))
% 1.20/1.74 [21]~E(x211,x212)+E(f41(x211),f41(x212))
% 1.20/1.74 [22]~E(x221,x222)+E(f12(x221,x223,x224),f12(x222,x223,x224))
% 1.20/1.74 [23]~E(x231,x232)+E(f12(x233,x231,x234),f12(x233,x232,x234))
% 1.20/1.74 [24]~E(x241,x242)+E(f12(x243,x244,x241),f12(x243,x244,x242))
% 1.20/1.74 [25]~E(x251,x252)+E(f43(x251),f43(x252))
% 1.20/1.74 [26]~E(x261,x262)+E(f36(x261,x263),f36(x262,x263))
% 1.20/1.74 [27]~E(x271,x272)+E(f36(x273,x271),f36(x273,x272))
% 1.20/1.74 [28]~E(x281,x282)+E(f28(x281,x283,x284),f28(x282,x283,x284))
% 1.20/1.74 [29]~E(x291,x292)+E(f28(x293,x291,x294),f28(x293,x292,x294))
% 1.20/1.74 [30]~E(x301,x302)+E(f28(x303,x304,x301),f28(x303,x304,x302))
% 1.20/1.74 [31]~E(x311,x312)+E(f35(x311,x313),f35(x312,x313))
% 1.20/1.74 [32]~E(x321,x322)+E(f35(x323,x321),f35(x323,x322))
% 1.20/1.74 [33]~E(x331,x332)+E(f30(x331,x333),f30(x332,x333))
% 1.20/1.74 [34]~E(x341,x342)+E(f30(x343,x341),f30(x343,x342))
% 1.20/1.74 [35]~E(x351,x352)+E(f31(x351,x353),f31(x352,x353))
% 1.20/1.74 [36]~E(x361,x362)+E(f31(x363,x361),f31(x363,x362))
% 1.20/1.74 [37]~E(x371,x372)+E(f7(x371),f7(x372))
% 1.20/1.74 [38]~E(x381,x382)+E(f44(x381),f44(x382))
% 1.20/1.74 [39]~E(x391,x392)+E(f22(x391,x393,x394),f22(x392,x393,x394))
% 1.20/1.74 [40]~E(x401,x402)+E(f22(x403,x401,x404),f22(x403,x402,x404))
% 1.20/1.74 [41]~E(x411,x412)+E(f22(x413,x414,x411),f22(x413,x414,x412))
% 1.20/1.74 [42]~E(x421,x422)+E(f17(x421,x423,x424,x425),f17(x422,x423,x424,x425))
% 1.20/1.74 [43]~E(x431,x432)+E(f17(x433,x431,x434,x435),f17(x433,x432,x434,x435))
% 1.20/1.74 [44]~E(x441,x442)+E(f17(x443,x444,x441,x445),f17(x443,x444,x442,x445))
% 1.20/1.74 [45]~E(x451,x452)+E(f17(x453,x454,x455,x451),f17(x453,x454,x455,x452))
% 1.20/1.74 [46]~E(x461,x462)+E(f32(x461,x463),f32(x462,x463))
% 1.20/1.74 [47]~E(x471,x472)+E(f32(x473,x471),f32(x473,x472))
% 1.20/1.74 [48]~E(x481,x482)+E(f24(x481),f24(x482))
% 1.20/1.74 [49]~E(x491,x492)+E(f33(x491,x493),f33(x492,x493))
% 1.20/1.74 [50]~E(x501,x502)+E(f33(x503,x501),f33(x503,x502))
% 1.20/1.74 [51]~E(x511,x512)+E(f13(x511,x513,x514),f13(x512,x513,x514))
% 1.20/1.74 [52]~E(x521,x522)+E(f13(x523,x521,x524),f13(x523,x522,x524))
% 1.20/1.74 [53]~E(x531,x532)+E(f13(x533,x534,x531),f13(x533,x534,x532))
% 1.20/1.74 [54]~E(x541,x542)+E(f8(x541),f8(x542))
% 1.20/1.74 [55]~E(x551,x552)+E(f34(x551,x553),f34(x552,x553))
% 1.20/1.74 [56]~E(x561,x562)+E(f34(x563,x561),f34(x563,x562))
% 1.20/1.74 [57]~E(x571,x572)+E(f19(x571),f19(x572))
% 1.20/1.74 [58]~E(x581,x582)+E(f29(x581,x583,x584),f29(x582,x583,x584))
% 1.20/1.74 [59]~E(x591,x592)+E(f29(x593,x591,x594),f29(x593,x592,x594))
% 1.20/1.74 [60]~E(x601,x602)+E(f29(x603,x604,x601),f29(x603,x604,x602))
% 1.20/1.74 [61]~E(x611,x612)+E(f9(x611),f9(x612))
% 1.20/1.74 [62]~E(x621,x622)+E(f23(x621),f23(x622))
% 1.20/1.74 [63]~E(x631,x632)+E(f11(x631,x633),f11(x632,x633))
% 1.20/1.74 [64]~E(x641,x642)+E(f11(x643,x641),f11(x643,x642))
% 1.20/1.74 [65]~E(x651,x652)+E(f16(x651,x653,x654),f16(x652,x653,x654))
% 1.20/1.74 [66]~E(x661,x662)+E(f16(x663,x661,x664),f16(x663,x662,x664))
% 1.20/1.74 [67]~E(x671,x672)+E(f16(x673,x674,x671),f16(x673,x674,x672))
% 1.20/1.74 [68]~E(x681,x682)+E(f21(x681,x683,x684),f21(x682,x683,x684))
% 1.20/1.74 [69]~E(x691,x692)+E(f21(x693,x691,x694),f21(x693,x692,x694))
% 1.20/1.74 [70]~E(x701,x702)+E(f21(x703,x704,x701),f21(x703,x704,x702))
% 1.20/1.74 [71]~E(x711,x712)+E(f10(x711,x713),f10(x712,x713))
% 1.20/1.74 [72]~E(x721,x722)+E(f10(x723,x721),f10(x723,x722))
% 1.20/1.74 [73]~E(x731,x732)+E(f20(x731),f20(x732))
% 1.20/1.74 [74]~E(x741,x742)+E(f18(x741,x743,x744),f18(x742,x743,x744))
% 1.20/1.74 [75]~E(x751,x752)+E(f18(x753,x751,x754),f18(x753,x752,x754))
% 1.20/1.74 [76]~E(x761,x762)+E(f18(x763,x764,x761),f18(x763,x764,x762))
% 1.20/1.74 [77]~E(x771,x772)+E(f25(x771),f25(x772))
% 1.20/1.74 [78]~E(x781,x782)+E(f26(x781,x783),f26(x782,x783))
% 1.20/1.74 [79]~E(x791,x792)+E(f26(x793,x791),f26(x793,x792))
% 1.20/1.74 [80]~E(x801,x802)+E(f27(x801,x803),f27(x802,x803))
% 1.20/1.74 [81]~E(x811,x812)+E(f27(x813,x811),f27(x813,x812))
% 1.20/1.74 [82]~P1(x821)+P1(x822)+~E(x821,x822)
% 1.20/1.74 [83]P3(x832,x833)+~E(x831,x832)+~P3(x831,x833)
% 1.20/1.74 [84]P3(x843,x842)+~E(x841,x842)+~P3(x843,x841)
% 1.20/1.74 [85]~P6(x851)+P6(x852)+~E(x851,x852)
% 1.20/1.74 [86]P9(x862,x863)+~E(x861,x862)+~P9(x861,x863)
% 1.20/1.74 [87]P9(x873,x872)+~E(x871,x872)+~P9(x873,x871)
% 1.20/1.74 [88]~P5(x881)+P5(x882)+~E(x881,x882)
% 1.20/1.74 [89]P7(x892,x893)+~E(x891,x892)+~P7(x891,x893)
% 1.20/1.74 [90]P7(x903,x902)+~E(x901,x902)+~P7(x903,x901)
% 1.20/1.74 [91]~P2(x911)+P2(x912)+~E(x911,x912)
% 1.20/1.74 [92]~P4(x921)+P4(x922)+~E(x921,x922)
% 1.20/1.74 [93]P8(x932,x933)+~E(x931,x932)+~P8(x931,x933)
% 1.20/1.74 [94]P8(x943,x942)+~E(x941,x942)+~P8(x943,x941)
% 1.20/1.74
% 1.20/1.74 %-------------------------------------------
% 1.20/1.75 cnf(294,plain,
% 1.20/1.75 (E(a45,f2(a1))),
% 1.20/1.75 inference(scs_inference,[],[95,2])).
% 1.20/1.75 cnf(297,plain,
% 1.20/1.75 (~P3(x2971,f4(a3))),
% 1.20/1.75 inference(scs_inference,[],[95,116,96,2,150,137])).
% 1.20/1.75 cnf(299,plain,
% 1.20/1.75 (P1(f4(a3))),
% 1.20/1.75 inference(scs_inference,[],[95,116,96,2,150,137,129])).
% 1.20/1.75 cnf(301,plain,
% 1.20/1.75 (~E(a42,f4(a3))),
% 1.20/1.75 inference(scs_inference,[],[95,116,96,2,150,137,129,84])).
% 1.20/1.75 cnf(302,plain,
% 1.20/1.75 (P3(f2(a1),a42)),
% 1.20/1.75 inference(scs_inference,[],[95,116,117,96,2,150,137,129,84,83])).
% 1.20/1.75 cnf(303,plain,
% 1.20/1.75 (P1(a38)),
% 1.20/1.75 inference(scs_inference,[],[95,116,117,96,2,150,137,129,84,83,82])).
% 1.20/1.75 cnf(305,plain,
% 1.20/1.75 (~P5(a42)),
% 1.20/1.75 inference(scs_inference,[],[95,101,107,116,117,128,96,2,150,137,129,84,83,82,3,135])).
% 1.20/1.75 cnf(307,plain,
% 1.20/1.75 (~P6(f4(a3))),
% 1.20/1.75 inference(scs_inference,[],[95,101,107,116,117,128,96,2,150,137,129,84,83,82,3,135,132])).
% 1.20/1.75 cnf(309,plain,
% 1.20/1.75 (P9(f2(a3),f2(a3))),
% 1.20/1.75 inference(scs_inference,[],[95,101,107,116,117,128,96,2,150,137,129,84,83,82,3,135,132,220])).
% 1.20/1.75 cnf(311,plain,
% 1.20/1.75 (P7(f4(a3),f4(a3))),
% 1.20/1.75 inference(scs_inference,[],[95,101,107,116,117,128,96,2,150,137,129,84,83,82,3,135,132,220,219])).
% 1.20/1.75 cnf(313,plain,
% 1.20/1.75 (P9(a3,a45)),
% 1.20/1.75 inference(scs_inference,[],[95,101,107,116,117,128,96,2,150,137,129,84,83,82,3,135,132,220,219,144])).
% 1.20/1.75 cnf(315,plain,
% 1.20/1.75 (P7(a42,a42)),
% 1.20/1.75 inference(scs_inference,[],[95,101,107,116,117,128,96,2,150,137,129,84,83,82,3,135,132,220,219,144,136])).
% 1.20/1.75 cnf(317,plain,
% 1.20/1.75 (~P3(f4(a3),f39(a51,a45))),
% 1.20/1.75 inference(scs_inference,[],[95,101,107,116,117,128,96,2,150,137,129,84,83,82,3,135,132,220,219,144,136,178])).
% 1.20/1.75 cnf(319,plain,
% 1.20/1.75 (P7(f5(a47,a3),a42)),
% 1.20/1.75 inference(scs_inference,[],[95,101,107,116,117,128,96,2,150,137,129,84,83,82,3,135,132,220,219,144,136,178,176])).
% 1.20/1.75 cnf(321,plain,
% 1.20/1.75 (~P9(f2(a3),a3)),
% 1.20/1.75 inference(scs_inference,[],[95,101,107,116,117,128,96,2,150,137,129,84,83,82,3,135,132,220,219,144,136,178,176,168])).
% 1.20/1.75 cnf(325,plain,
% 1.20/1.75 (P6(f5(a47,a3))),
% 1.20/1.75 inference(scs_inference,[],[95,101,107,116,117,128,96,2,150,137,129,84,83,82,3,135,132,220,219,144,136,178,176,168,167,166])).
% 1.20/1.75 cnf(335,plain,
% 1.20/1.75 (P3(f2(a3),a42)),
% 1.20/1.75 inference(scs_inference,[],[95,101,107,116,117,128,96,2,150,137,129,84,83,82,3,135,132,220,219,144,136,178,176,168,167,166,157,156,153,152,151])).
% 1.20/1.75 cnf(337,plain,
% 1.20/1.75 (E(f7(f4(a3)),a3)),
% 1.20/1.75 inference(scs_inference,[],[95,101,107,116,117,128,96,2,150,137,129,84,83,82,3,135,132,220,219,144,136,178,176,168,167,166,157,156,153,152,151,143])).
% 1.20/1.75 cnf(341,plain,
% 1.20/1.75 (P5(f4(a3))),
% 1.20/1.75 inference(scs_inference,[],[95,101,107,116,117,128,96,2,150,137,129,84,83,82,3,135,132,220,219,144,136,178,176,168,167,166,157,156,153,152,151,143,142,141])).
% 1.20/1.75 cnf(347,plain,
% 1.20/1.75 (P4(f7(a42))),
% 1.20/1.75 inference(scs_inference,[],[95,101,107,116,117,128,96,2,150,137,129,84,83,82,3,135,132,220,219,144,136,178,176,168,167,166,157,156,153,152,151,143,142,141,139,138,134])).
% 1.20/1.75 cnf(415,plain,
% 1.20/1.75 (E(f39(x4151,f2(a1)),f39(x4151,a45))),
% 1.20/1.75 inference(scs_inference,[],[95,101,107,110,116,117,128,96,2,150,137,129,84,83,82,3,135,132,220,219,144,136,178,176,168,167,166,157,156,153,152,151,143,142,141,139,138,134,133,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17])).
% 1.20/1.75 cnf(427,plain,
% 1.20/1.75 (E(f4(f2(a1)),f4(a45))),
% 1.20/1.75 inference(scs_inference,[],[95,101,107,110,116,117,128,96,2,150,137,129,84,83,82,3,135,132,220,219,144,136,178,176,168,167,166,157,156,153,152,151,143,142,141,139,138,134,133,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 1.20/1.75 cnf(442,plain,
% 1.20/1.75 (P4(a3)),
% 1.20/1.75 inference(scs_inference,[],[95,101,105,107,108,110,116,117,128,96,2,150,137,129,84,83,82,3,135,132,220,219,144,136,178,176,168,167,166,157,156,153,152,151,143,142,141,139,138,134,133,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,257,179,261,259,92,88,87,86,85,149])).
% 1.20/1.75 cnf(444,plain,
% 1.20/1.75 (P1(a52)),
% 1.20/1.75 inference(scs_inference,[],[95,101,105,107,108,110,116,117,119,128,96,2,150,137,129,84,83,82,3,135,132,220,219,144,136,178,176,168,167,166,157,156,153,152,151,143,142,141,139,138,134,133,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,257,179,261,259,92,88,87,86,85,149,148])).
% 1.20/1.75 cnf(446,plain,
% 1.20/1.75 (P1(f4(f2(a1)))),
% 1.20/1.75 inference(scs_inference,[],[95,101,105,107,108,110,116,117,119,128,96,2,150,137,129,84,83,82,3,135,132,220,219,144,136,178,176,168,167,166,157,156,153,152,151,143,142,141,139,138,134,133,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,257,179,261,259,92,88,87,86,85,149,148,146])).
% 1.20/1.75 cnf(448,plain,
% 1.20/1.75 (~P3(f7(a42),a42)),
% 1.20/1.75 inference(scs_inference,[],[95,101,105,107,108,110,116,117,119,128,96,2,150,137,129,84,83,82,3,135,132,220,219,144,136,178,176,168,167,166,157,156,153,152,151,143,142,141,139,138,134,133,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,257,179,261,259,92,88,87,86,85,149,148,146,159])).
% 1.20/1.75 cnf(460,plain,
% 1.20/1.75 (~P3(f7(a42),a52)),
% 1.20/1.75 inference(scs_inference,[],[95,101,105,107,108,110,116,117,119,128,96,2,150,137,129,84,83,82,3,135,132,220,219,144,136,178,176,168,167,166,157,156,153,152,151,143,142,141,139,138,134,133,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,257,179,261,259,92,88,87,86,85,149,148,146,159,158,147,145,181,202,192])).
% 1.20/1.75 cnf(572,plain,
% 1.20/1.75 (~P3(x5721,f4(a3))),
% 1.20/1.75 inference(rename_variables,[],[297])).
% 1.20/1.75 cnf(606,plain,
% 1.20/1.75 (~P3(x6061,f4(a3))),
% 1.20/1.75 inference(rename_variables,[],[297])).
% 1.20/1.75 cnf(614,plain,
% 1.20/1.75 (~P3(x6141,f37(f36(f4(a3),f7(a42)),f7(a42)))),
% 1.20/1.76 inference(scs_inference,[],[95,104,111,118,97,126,108,109,120,102,106,128,122,96,117,101,116,325,415,297,572,606,309,446,301,427,299,307,311,347,319,294,302,335,460,305,313,444,249,177,217,137,135,132,147,140,202,160,175,187,174,173,171,170,184,201,230,254,278,25,89,87,86,82,149,148,159,181,192,210,172,245,220,219,206,236,2,90,88,85,84])).
% 1.20/1.76 cnf(621,plain,
% 1.20/1.76 (~P3(x6211,f4(a3))),
% 1.20/1.76 inference(rename_variables,[],[297])).
% 1.20/1.76 cnf(628,plain,
% 1.20/1.76 (~P3(x6281,f4(a3))),
% 1.20/1.76 inference(rename_variables,[],[297])).
% 1.20/1.76 cnf(642,plain,
% 1.20/1.76 (P1(f37(f36(f4(a3),f7(a42)),f7(a42)))),
% 1.20/1.76 inference(scs_inference,[],[95,104,111,118,97,126,108,109,120,102,106,128,122,96,117,101,116,325,415,297,572,606,621,628,309,446,317,337,301,427,299,307,311,341,347,319,294,302,321,335,448,460,303,305,313,315,444,249,177,217,137,135,132,147,140,202,160,175,187,174,173,171,170,184,201,230,254,278,25,89,87,86,82,149,148,159,181,192,210,172,245,220,219,206,236,2,90,88,85,84,83,3,91,207,198,164,193,239,209,237,221,213,226,267,146])).
% 1.20/1.76 cnf(648,plain,
% 1.20/1.76 (P3(f27(f41(a49),a51),f39(a51,a45))),
% 1.20/1.76 inference(scs_inference,[],[95,104,111,118,97,126,108,109,120,102,106,128,122,96,117,101,116,325,415,297,572,606,621,628,309,446,317,337,301,427,299,307,311,341,347,319,294,302,321,335,448,460,303,305,313,315,444,249,177,217,137,135,132,147,140,202,160,175,187,174,173,171,170,184,201,230,254,278,25,89,87,86,82,149,148,159,181,192,210,172,245,220,219,206,236,2,90,88,85,84,83,3,91,207,198,164,193,239,209,237,221,213,226,267,146,131,225,235])).
% 1.20/1.76 cnf(652,plain,
% 1.20/1.76 (~E(f5(a53,f27(f41(a49),a51)),f41(a49))),
% 1.30/1.76 inference(scs_inference,[],[95,104,111,118,97,126,108,109,120,102,106,128,122,96,117,101,116,325,415,297,572,606,621,628,309,446,317,337,301,427,299,307,311,341,347,319,294,302,321,335,448,460,303,305,313,315,444,249,177,217,137,135,132,147,140,202,160,175,187,174,173,171,170,184,201,230,254,278,25,89,87,86,82,149,148,159,181,192,210,172,245,220,219,206,236,2,90,88,85,84,83,3,91,207,198,164,193,239,209,237,221,213,226,267,146,131,225,235,178,234])).
% 1.30/1.76 cnf(686,plain,
% 1.30/1.76 ($false),
% 1.30/1.76 inference(scs_inference,[],[642,614,648,652,442,268,197]),
% 1.30/1.76 ['proof']).
% 1.30/1.76 % SZS output end Proof
% 1.30/1.76 % Total time :0.570000s
%------------------------------------------------------------------------------