TSTP Solution File: NUM551+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM551+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n009.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 10:23:02 EDT 2023
% Result : Theorem 0.53s 1.16s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM551+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Aug 25 11:58:05 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.18/0.57 start to proof:theBenchmark
% 0.53/1.14 %-------------------------------------------
% 0.53/1.14 % File :CSE---1.6
% 0.53/1.14 % Problem :theBenchmark
% 0.53/1.14 % Transform :cnf
% 0.53/1.14 % Format :tptp:raw
% 0.53/1.14 % Command :java -jar mcs_scs.jar %d %s
% 0.53/1.14
% 0.53/1.14 % Result :Theorem 0.480000s
% 0.53/1.14 % Output :CNFRefutation 0.480000s
% 0.53/1.14 %-------------------------------------------
% 0.53/1.14 %------------------------------------------------------------------------------
% 0.53/1.14 % File : NUM551+1 : TPTP v8.1.2. Released v4.0.0.
% 0.53/1.14 % Domain : Number Theory
% 0.53/1.14 % Problem : Ramsey's Infinite Theorem 12_03_02, 00 expansion
% 0.53/1.14 % Version : Especial.
% 0.53/1.15 % English :
% 0.53/1.15
% 0.53/1.15 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.53/1.15 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.53/1.15 % Source : [Pas08]
% 0.53/1.15 % Names : ramsey_12_03_02.00 [Pas08]
% 0.53/1.15
% 0.53/1.15 % Status : Theorem
% 0.53/1.15 % Rating : 0.22 v8.1.0, 0.17 v7.5.0, 0.16 v7.4.0, 0.17 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.09 v7.0.0, 0.17 v6.4.0, 0.23 v6.3.0, 0.08 v6.2.0, 0.16 v6.1.0, 0.20 v6.0.0, 0.09 v5.5.0, 0.19 v5.4.0, 0.21 v5.3.0, 0.26 v5.2.0, 0.15 v5.1.0, 0.29 v5.0.0, 0.38 v4.1.0, 0.43 v4.0.1, 0.74 v4.0.0
% 0.53/1.15 % Syntax : Number of formulae : 68 ( 7 unt; 8 def)
% 0.53/1.15 % Number of atoms : 242 ( 40 equ)
% 0.53/1.15 % Maximal formula atoms : 8 ( 3 avg)
% 0.53/1.15 % Number of connectives : 193 ( 19 ~; 4 |; 69 &)
% 0.53/1.15 % ( 17 <=>; 84 =>; 0 <=; 0 <~>)
% 0.53/1.15 % Maximal formula depth : 12 ( 5 avg)
% 0.53/1.15 % Maximal term depth : 4 ( 1 avg)
% 0.53/1.15 % Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% 0.53/1.15 % Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% 0.53/1.15 % Number of variables : 107 ( 102 !; 5 ?)
% 0.53/1.15 % SPC : FOF_THM_RFO_SEQ
% 0.53/1.15
% 0.53/1.15 % Comments : Problem generated by the SAD system [VLP07]
% 0.53/1.15 %------------------------------------------------------------------------------
% 0.53/1.15 fof(mSetSort,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aSet0(W0)
% 0.53/1.15 => $true ) ).
% 0.53/1.15
% 0.53/1.15 fof(mElmSort,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aElement0(W0)
% 0.53/1.15 => $true ) ).
% 0.53/1.15
% 0.53/1.15 fof(mEOfElem,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aSet0(W0)
% 0.53/1.15 => ! [W1] :
% 0.53/1.15 ( aElementOf0(W1,W0)
% 0.53/1.15 => aElement0(W1) ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mFinRel,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aSet0(W0)
% 0.53/1.15 => ( isFinite0(W0)
% 0.53/1.15 => $true ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mDefEmp,definition,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( W0 = slcrc0
% 0.53/1.15 <=> ( aSet0(W0)
% 0.53/1.15 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mEmpFin,axiom,
% 0.53/1.15 isFinite0(slcrc0) ).
% 0.53/1.15
% 0.53/1.15 fof(mCntRel,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aSet0(W0)
% 0.53/1.15 => ( isCountable0(W0)
% 0.53/1.15 => $true ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mCountNFin,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( ( aSet0(W0)
% 0.53/1.15 & isCountable0(W0) )
% 0.53/1.15 => ~ isFinite0(W0) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mCountNFin_01,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( ( aSet0(W0)
% 0.53/1.15 & isCountable0(W0) )
% 0.53/1.15 => W0 != slcrc0 ) ).
% 0.53/1.15
% 0.53/1.15 fof(mDefSub,definition,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aSet0(W0)
% 0.53/1.15 => ! [W1] :
% 0.53/1.15 ( aSubsetOf0(W1,W0)
% 0.53/1.15 <=> ( aSet0(W1)
% 0.53/1.15 & ! [W2] :
% 0.53/1.15 ( aElementOf0(W2,W1)
% 0.53/1.15 => aElementOf0(W2,W0) ) ) ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mSubFSet,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( ( aSet0(W0)
% 0.53/1.15 & isFinite0(W0) )
% 0.53/1.15 => ! [W1] :
% 0.53/1.15 ( aSubsetOf0(W1,W0)
% 0.53/1.15 => isFinite0(W1) ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mSubRefl,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aSet0(W0)
% 0.53/1.15 => aSubsetOf0(W0,W0) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mSubASymm,axiom,
% 0.53/1.15 ! [W0,W1] :
% 0.53/1.15 ( ( aSet0(W0)
% 0.53/1.15 & aSet0(W1) )
% 0.53/1.15 => ( ( aSubsetOf0(W0,W1)
% 0.53/1.15 & aSubsetOf0(W1,W0) )
% 0.53/1.15 => W0 = W1 ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mSubTrans,axiom,
% 0.53/1.15 ! [W0,W1,W2] :
% 0.53/1.15 ( ( aSet0(W0)
% 0.53/1.15 & aSet0(W1)
% 0.53/1.15 & aSet0(W2) )
% 0.53/1.15 => ( ( aSubsetOf0(W0,W1)
% 0.53/1.15 & aSubsetOf0(W1,W2) )
% 0.53/1.15 => aSubsetOf0(W0,W2) ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mDefCons,definition,
% 0.53/1.15 ! [W0,W1] :
% 0.53/1.15 ( ( aSet0(W0)
% 0.53/1.15 & aElement0(W1) )
% 0.53/1.15 => ! [W2] :
% 0.53/1.15 ( W2 = sdtpldt0(W0,W1)
% 0.53/1.15 <=> ( aSet0(W2)
% 0.53/1.15 & ! [W3] :
% 0.53/1.15 ( aElementOf0(W3,W2)
% 0.53/1.15 <=> ( aElement0(W3)
% 0.53/1.15 & ( aElementOf0(W3,W0)
% 0.53/1.15 | W3 = W1 ) ) ) ) ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mDefDiff,definition,
% 0.53/1.15 ! [W0,W1] :
% 0.53/1.15 ( ( aSet0(W0)
% 0.53/1.15 & aElement0(W1) )
% 0.53/1.15 => ! [W2] :
% 0.53/1.15 ( W2 = sdtmndt0(W0,W1)
% 0.53/1.15 <=> ( aSet0(W2)
% 0.53/1.15 & ! [W3] :
% 0.53/1.15 ( aElementOf0(W3,W2)
% 0.53/1.15 <=> ( aElement0(W3)
% 0.53/1.15 & aElementOf0(W3,W0)
% 0.53/1.15 & W3 != W1 ) ) ) ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mConsDiff,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aSet0(W0)
% 0.53/1.15 => ! [W1] :
% 0.53/1.15 ( aElementOf0(W1,W0)
% 0.53/1.15 => sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mDiffCons,axiom,
% 0.53/1.15 ! [W0,W1] :
% 0.53/1.15 ( ( aElement0(W0)
% 0.53/1.15 & aSet0(W1) )
% 0.53/1.15 => ( ~ aElementOf0(W0,W1)
% 0.53/1.15 => sdtmndt0(sdtpldt0(W1,W0),W0) = W1 ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mCConsSet,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aElement0(W0)
% 0.53/1.15 => ! [W1] :
% 0.53/1.15 ( ( aSet0(W1)
% 0.53/1.15 & isCountable0(W1) )
% 0.53/1.15 => isCountable0(sdtpldt0(W1,W0)) ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mCDiffSet,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aElement0(W0)
% 0.53/1.15 => ! [W1] :
% 0.53/1.15 ( ( aSet0(W1)
% 0.53/1.15 & isCountable0(W1) )
% 0.53/1.15 => isCountable0(sdtmndt0(W1,W0)) ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mFConsSet,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aElement0(W0)
% 0.53/1.15 => ! [W1] :
% 0.53/1.15 ( ( aSet0(W1)
% 0.53/1.15 & isFinite0(W1) )
% 0.53/1.15 => isFinite0(sdtpldt0(W1,W0)) ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mFDiffSet,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aElement0(W0)
% 0.53/1.15 => ! [W1] :
% 0.53/1.15 ( ( aSet0(W1)
% 0.53/1.15 & isFinite0(W1) )
% 0.53/1.15 => isFinite0(sdtmndt0(W1,W0)) ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mNATSet,axiom,
% 0.53/1.15 ( aSet0(szNzAzT0)
% 0.53/1.15 & isCountable0(szNzAzT0) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mZeroNum,axiom,
% 0.53/1.15 aElementOf0(sz00,szNzAzT0) ).
% 0.53/1.15
% 0.53/1.15 fof(mSuccNum,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aElementOf0(W0,szNzAzT0)
% 0.53/1.15 => ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
% 0.53/1.15 & szszuzczcdt0(W0) != sz00 ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mSuccEquSucc,axiom,
% 0.53/1.15 ! [W0,W1] :
% 0.53/1.15 ( ( aElementOf0(W0,szNzAzT0)
% 0.53/1.15 & aElementOf0(W1,szNzAzT0) )
% 0.53/1.15 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 0.53/1.15 => W0 = W1 ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mNatExtra,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aElementOf0(W0,szNzAzT0)
% 0.53/1.15 => ( W0 = sz00
% 0.53/1.15 | ? [W1] :
% 0.53/1.15 ( aElementOf0(W1,szNzAzT0)
% 0.53/1.15 & W0 = szszuzczcdt0(W1) ) ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mNatNSucc,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aElementOf0(W0,szNzAzT0)
% 0.53/1.15 => W0 != szszuzczcdt0(W0) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mLessRel,axiom,
% 0.53/1.15 ! [W0,W1] :
% 0.53/1.15 ( ( aElementOf0(W0,szNzAzT0)
% 0.53/1.15 & aElementOf0(W1,szNzAzT0) )
% 0.53/1.15 => ( sdtlseqdt0(W0,W1)
% 0.53/1.15 => $true ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mZeroLess,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aElementOf0(W0,szNzAzT0)
% 0.53/1.15 => sdtlseqdt0(sz00,W0) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mNoScLessZr,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aElementOf0(W0,szNzAzT0)
% 0.53/1.15 => ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mSuccLess,axiom,
% 0.53/1.15 ! [W0,W1] :
% 0.53/1.15 ( ( aElementOf0(W0,szNzAzT0)
% 0.53/1.15 & aElementOf0(W1,szNzAzT0) )
% 0.53/1.15 => ( sdtlseqdt0(W0,W1)
% 0.53/1.15 <=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mLessSucc,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aElementOf0(W0,szNzAzT0)
% 0.53/1.15 => sdtlseqdt0(W0,szszuzczcdt0(W0)) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mLessRefl,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aElementOf0(W0,szNzAzT0)
% 0.53/1.15 => sdtlseqdt0(W0,W0) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mLessASymm,axiom,
% 0.53/1.15 ! [W0,W1] :
% 0.53/1.15 ( ( aElementOf0(W0,szNzAzT0)
% 0.53/1.15 & aElementOf0(W1,szNzAzT0) )
% 0.53/1.15 => ( ( sdtlseqdt0(W0,W1)
% 0.53/1.15 & sdtlseqdt0(W1,W0) )
% 0.53/1.15 => W0 = W1 ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mLessTrans,axiom,
% 0.53/1.15 ! [W0,W1,W2] :
% 0.53/1.15 ( ( aElementOf0(W0,szNzAzT0)
% 0.53/1.15 & aElementOf0(W1,szNzAzT0)
% 0.53/1.15 & aElementOf0(W2,szNzAzT0) )
% 0.53/1.15 => ( ( sdtlseqdt0(W0,W1)
% 0.53/1.15 & sdtlseqdt0(W1,W2) )
% 0.53/1.15 => sdtlseqdt0(W0,W2) ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mLessTotal,axiom,
% 0.53/1.15 ! [W0,W1] :
% 0.53/1.15 ( ( aElementOf0(W0,szNzAzT0)
% 0.53/1.15 & aElementOf0(W1,szNzAzT0) )
% 0.53/1.15 => ( sdtlseqdt0(W0,W1)
% 0.53/1.15 | sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mIHSort,axiom,
% 0.53/1.15 ! [W0,W1] :
% 0.53/1.15 ( ( aElementOf0(W0,szNzAzT0)
% 0.53/1.15 & aElementOf0(W1,szNzAzT0) )
% 0.53/1.15 => ( iLess0(W0,W1)
% 0.53/1.15 => $true ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mIH,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aElementOf0(W0,szNzAzT0)
% 0.53/1.15 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mCardS,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aSet0(W0)
% 0.53/1.15 => aElement0(sbrdtbr0(W0)) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mCardNum,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aSet0(W0)
% 0.53/1.15 => ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
% 0.53/1.15 <=> isFinite0(W0) ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mCardEmpty,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aSet0(W0)
% 0.53/1.15 => ( sbrdtbr0(W0) = sz00
% 0.53/1.15 <=> W0 = slcrc0 ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mCardCons,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( ( aSet0(W0)
% 0.53/1.15 & isFinite0(W0) )
% 0.53/1.15 => ! [W1] :
% 0.53/1.15 ( aElement0(W1)
% 0.53/1.15 => ( ~ aElementOf0(W1,W0)
% 0.53/1.15 => sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mCardDiff,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aSet0(W0)
% 0.53/1.15 => ! [W1] :
% 0.53/1.15 ( ( isFinite0(W0)
% 0.53/1.15 & aElementOf0(W1,W0) )
% 0.53/1.15 => szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mCardSub,axiom,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( aSet0(W0)
% 0.53/1.15 => ! [W1] :
% 0.53/1.15 ( ( isFinite0(W0)
% 0.53/1.15 & aSubsetOf0(W1,W0) )
% 0.53/1.15 => sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mCardSubEx,axiom,
% 0.53/1.15 ! [W0,W1] :
% 0.53/1.15 ( ( aSet0(W0)
% 0.53/1.15 & aElementOf0(W1,szNzAzT0) )
% 0.53/1.15 => ( ( isFinite0(W0)
% 0.53/1.15 & sdtlseqdt0(W1,sbrdtbr0(W0)) )
% 0.53/1.15 => ? [W2] :
% 0.53/1.15 ( aSubsetOf0(W2,W0)
% 0.53/1.15 & sbrdtbr0(W2) = W1 ) ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mDefMin,definition,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.53/1.15 & W0 != slcrc0 )
% 0.53/1.15 => ! [W1] :
% 0.53/1.15 ( W1 = szmzizndt0(W0)
% 0.53/1.15 <=> ( aElementOf0(W1,W0)
% 0.53/1.15 & ! [W2] :
% 0.53/1.15 ( aElementOf0(W2,W0)
% 0.53/1.15 => sdtlseqdt0(W1,W2) ) ) ) ) ).
% 0.53/1.15
% 0.53/1.15 fof(mDefMax,definition,
% 0.53/1.15 ! [W0] :
% 0.53/1.15 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.53/1.15 & isFinite0(W0)
% 0.53/1.15 & W0 != slcrc0 )
% 0.53/1.15 => ! [W1] :
% 0.53/1.15 ( W1 = szmzazxdt0(W0)
% 0.53/1.15 <=> ( aElementOf0(W1,W0)
% 0.53/1.15 & ! [W2] :
% 0.53/1.16 ( aElementOf0(W2,W0)
% 0.53/1.16 => sdtlseqdt0(W2,W1) ) ) ) ) ).
% 0.53/1.16
% 0.53/1.16 fof(mMinMin,axiom,
% 0.53/1.16 ! [W0,W1] :
% 0.53/1.16 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.53/1.16 & aSubsetOf0(W1,szNzAzT0)
% 0.53/1.16 & W0 != slcrc0
% 0.53/1.16 & W1 != slcrc0 )
% 0.53/1.16 => ( ( aElementOf0(szmzizndt0(W0),W1)
% 0.53/1.16 & aElementOf0(szmzizndt0(W1),W0) )
% 0.53/1.16 => szmzizndt0(W0) = szmzizndt0(W1) ) ) ).
% 0.53/1.16
% 0.53/1.16 fof(mDefSeg,definition,
% 0.53/1.16 ! [W0] :
% 0.53/1.16 ( aElementOf0(W0,szNzAzT0)
% 0.53/1.16 => ! [W1] :
% 0.53/1.16 ( W1 = slbdtrb0(W0)
% 0.53/1.16 <=> ( aSet0(W1)
% 0.53/1.16 & ! [W2] :
% 0.53/1.16 ( aElementOf0(W2,W1)
% 0.53/1.16 <=> ( aElementOf0(W2,szNzAzT0)
% 0.53/1.16 & sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ) ).
% 0.53/1.16
% 0.53/1.16 fof(mSegFin,axiom,
% 0.53/1.16 ! [W0] :
% 0.53/1.16 ( aElementOf0(W0,szNzAzT0)
% 0.53/1.16 => isFinite0(slbdtrb0(W0)) ) ).
% 0.53/1.16
% 0.53/1.16 fof(mSegZero,axiom,
% 0.53/1.16 slbdtrb0(sz00) = slcrc0 ).
% 0.53/1.16
% 0.53/1.16 fof(mSegSucc,axiom,
% 0.53/1.16 ! [W0,W1] :
% 0.53/1.16 ( ( aElementOf0(W0,szNzAzT0)
% 0.53/1.16 & aElementOf0(W1,szNzAzT0) )
% 0.53/1.16 => ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1)))
% 0.53/1.16 <=> ( aElementOf0(W0,slbdtrb0(W1))
% 0.53/1.16 | W0 = W1 ) ) ) ).
% 0.53/1.16
% 0.53/1.16 fof(mSegLess,axiom,
% 0.53/1.16 ! [W0,W1] :
% 0.53/1.16 ( ( aElementOf0(W0,szNzAzT0)
% 0.53/1.16 & aElementOf0(W1,szNzAzT0) )
% 0.53/1.16 => ( sdtlseqdt0(W0,W1)
% 0.53/1.16 <=> aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)) ) ) ).
% 0.53/1.16
% 0.53/1.16 fof(mFinSubSeg,axiom,
% 0.53/1.16 ! [W0] :
% 0.53/1.16 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.53/1.16 & isFinite0(W0) )
% 0.53/1.16 => ? [W1] :
% 0.53/1.16 ( aElementOf0(W1,szNzAzT0)
% 0.53/1.16 & aSubsetOf0(W0,slbdtrb0(W1)) ) ) ).
% 0.53/1.16
% 0.53/1.16 fof(mCardSeg,axiom,
% 0.53/1.16 ! [W0] :
% 0.53/1.16 ( aElementOf0(W0,szNzAzT0)
% 0.53/1.16 => sbrdtbr0(slbdtrb0(W0)) = W0 ) ).
% 0.53/1.16
% 0.53/1.16 fof(mDefSel,definition,
% 0.53/1.16 ! [W0,W1] :
% 0.53/1.16 ( ( aSet0(W0)
% 0.53/1.16 & aElementOf0(W1,szNzAzT0) )
% 0.53/1.16 => ! [W2] :
% 0.53/1.16 ( W2 = slbdtsldtrb0(W0,W1)
% 0.53/1.16 <=> ( aSet0(W2)
% 0.53/1.16 & ! [W3] :
% 0.53/1.16 ( aElementOf0(W3,W2)
% 0.53/1.16 <=> ( aSubsetOf0(W3,W0)
% 0.53/1.16 & sbrdtbr0(W3) = W1 ) ) ) ) ) ).
% 0.53/1.16
% 0.53/1.16 fof(mSelFSet,axiom,
% 0.53/1.16 ! [W0] :
% 0.53/1.16 ( ( aSet0(W0)
% 0.53/1.16 & isFinite0(W0) )
% 0.53/1.16 => ! [W1] :
% 0.53/1.16 ( aElementOf0(W1,szNzAzT0)
% 0.53/1.16 => isFinite0(slbdtsldtrb0(W0,W1)) ) ) ).
% 0.53/1.16
% 0.53/1.16 fof(mSelNSet,axiom,
% 0.53/1.16 ! [W0] :
% 0.53/1.16 ( ( aSet0(W0)
% 0.53/1.16 & ~ isFinite0(W0) )
% 0.53/1.16 => ! [W1] :
% 0.53/1.16 ( aElementOf0(W1,szNzAzT0)
% 0.53/1.16 => slbdtsldtrb0(W0,W1) != slcrc0 ) ) ).
% 0.53/1.16
% 0.53/1.16 fof(mSelCSet,axiom,
% 0.53/1.16 ! [W0] :
% 0.53/1.16 ( ( aSet0(W0)
% 0.53/1.16 & isCountable0(W0) )
% 0.53/1.16 => ! [W1] :
% 0.53/1.16 ( ( aElementOf0(W1,szNzAzT0)
% 0.53/1.16 & W1 != sz00 )
% 0.53/1.16 => isCountable0(slbdtsldtrb0(W0,W1)) ) ) ).
% 0.53/1.16
% 0.53/1.16 fof(m__2202,hypothesis,
% 0.53/1.16 aElementOf0(xk,szNzAzT0) ).
% 0.53/1.16
% 0.53/1.16 fof(m__2202_02,hypothesis,
% 0.53/1.16 ( aSet0(xS)
% 0.53/1.16 & aSet0(xT)
% 0.53/1.16 & xk != sz00 ) ).
% 0.53/1.16
% 0.53/1.16 fof(m__2227,hypothesis,
% 0.53/1.16 ( aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
% 0.53/1.16 & slbdtsldtrb0(xS,xk) != slcrc0 ) ).
% 0.53/1.16
% 0.53/1.16 fof(m__2256,hypothesis,
% 0.53/1.16 aElementOf0(xx,xS) ).
% 0.53/1.16
% 0.53/1.16 fof(m__2270,hypothesis,
% 0.53/1.16 aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ).
% 0.53/1.16
% 0.53/1.16 fof(m__2291,hypothesis,
% 0.53/1.16 ( aSet0(xQ)
% 0.53/1.16 & isFinite0(xQ)
% 0.53/1.16 & sbrdtbr0(xQ) = xk ) ).
% 0.53/1.16
% 0.53/1.16 fof(m__2313,hypothesis,
% 0.53/1.16 xQ != slcrc0 ).
% 0.53/1.16
% 0.53/1.16 fof(m__,conjecture,
% 0.53/1.16 ? [W0] :
% 0.53/1.16 ( aElement0(W0)
% 0.53/1.16 & aElementOf0(W0,xQ) ) ).
% 0.53/1.16
% 0.53/1.16 %------------------------------------------------------------------------------
% 0.53/1.16 %-------------------------------------------
% 0.53/1.16 % Proof found
% 0.53/1.16 % SZS status Theorem for theBenchmark
% 0.53/1.16 % SZS output start Proof
% 0.53/1.16 %ClaNum:165(EqnAxiom:48)
% 0.53/1.16 %VarNum:716(SingletonVarNum:219)
% 0.53/1.16 %MaxLitNum:8
% 0.53/1.16 %MaxfuncDepth:3
% 0.53/1.16 %SharedTerms:29
% 0.53/1.16 %goalClause: 75
% 0.53/1.16 [51]P1(a20)
% 0.53/1.16 [52]P1(a25)
% 0.53/1.16 [53]P1(a26)
% 0.53/1.16 [54]P1(a1)
% 0.53/1.16 [55]P4(a18)
% 0.53/1.16 [56]P4(a1)
% 0.53/1.16 [57]P5(a20)
% 0.53/1.16 [58]P2(a14,a20)
% 0.53/1.16 [59]P2(a24,a20)
% 0.53/1.16 [60]P2(a27,a25)
% 0.53/1.16 [63]~E(a14,a24)
% 0.53/1.16 [64]~E(a1,a18)
% 0.53/1.16 [49]E(f2(a1),a24)
% 0.53/1.16 [50]E(f15(a14),a18)
% 0.53/1.16 [61]P2(a1,f19(a25,a24))
% 0.53/1.16 [62]P6(f19(a25,a24),f19(a26,a24))
% 0.53/1.16 [65]~E(f19(a25,a24),a18)
% 0.53/1.16 [66]P1(x661)+~E(x661,a18)
% 0.53/1.16 [72]~P1(x721)+P6(x721,x721)
% 0.53/1.16 [75]~P3(x751)+~P2(x751,a1)
% 0.53/1.16 [80]~P2(x801,a20)+P8(a14,x801)
% 0.53/1.16 [86]P8(x861,x861)+~P2(x861,a20)
% 0.53/1.16 [70]~P1(x701)+P3(f2(x701))
% 0.53/1.16 [74]~P2(x741,a20)+~E(f21(x741),a14)
% 0.53/1.16 [76]~P2(x761,a20)+~E(f21(x761),x761)
% 0.53/1.16 [78]~P2(x781,a20)+P4(f15(x781))
% 0.53/1.16 [87]~P2(x871,a20)+P2(f21(x871),a20)
% 0.53/1.16 [88]~P2(x881,a20)+P8(x881,f21(x881))
% 0.53/1.16 [89]~P2(x891,a20)+P7(x891,f21(x891))
% 0.53/1.16 [97]~P2(x971,a20)+~P8(f21(x971),a14)
% 0.53/1.16 [79]~P2(x791,a20)+E(f2(f15(x791)),x791)
% 0.53/1.16 [73]~P2(x732,x731)+~E(x731,a18)
% 0.53/1.16 [69]~P1(x691)+~P5(x691)+~E(x691,a18)
% 0.53/1.16 [71]~P4(x711)+~P5(x711)+~P1(x711)
% 0.53/1.16 [67]~P1(x671)+~E(x671,a18)+E(f2(x671),a14)
% 0.53/1.16 [68]~P1(x681)+E(x681,a18)+~E(f2(x681),a14)
% 0.53/1.16 [77]~P1(x771)+P2(f3(x771),x771)+E(x771,a18)
% 0.53/1.16 [83]~P1(x831)+~P4(x831)+P2(f2(x831),a20)
% 0.53/1.16 [90]~P2(x901,a20)+E(x901,a14)+P2(f6(x901),a20)
% 0.53/1.16 [91]~P1(x911)+P4(x911)+~P2(f2(x911),a20)
% 0.53/1.16 [96]~P4(x961)+~P6(x961,a20)+P2(f4(x961),a20)
% 0.53/1.16 [81]~P2(x811,a20)+E(x811,a14)+E(f21(f6(x811)),x811)
% 0.53/1.16 [106]~P4(x1061)+~P6(x1061,a20)+P6(x1061,f15(f4(x1061)))
% 0.53/1.16 [84]~P6(x841,x842)+P1(x841)+~P1(x842)
% 0.53/1.16 [85]~P2(x851,x852)+P3(x851)+~P1(x852)
% 0.53/1.16 [82]P1(x821)+~P2(x822,a20)+~E(x821,f15(x822))
% 0.53/1.16 [120]~P1(x1201)+~P2(x1202,x1201)+E(f16(f17(x1201,x1202),x1202),x1201)
% 0.53/1.16 [92]~P4(x922)+~P6(x921,x922)+P4(x921)+~P1(x922)
% 0.53/1.16 [95]P2(x952,x951)+~E(x952,f22(x951))+~P6(x951,a20)+E(x951,a18)
% 0.53/1.16 [99]~P1(x991)+~P3(x992)+~P4(x991)+P4(f16(x991,x992))
% 0.53/1.16 [100]~P1(x1001)+~P3(x1002)+~P4(x1001)+P4(f17(x1001,x1002))
% 0.53/1.16 [101]~P1(x1011)+~P3(x1012)+~P5(x1011)+P5(f16(x1011,x1012))
% 0.53/1.16 [102]~P1(x1021)+~P3(x1022)+~P5(x1021)+P5(f17(x1021,x1022))
% 0.53/1.16 [103]~P1(x1031)+P4(x1031)+~P2(x1032,a20)+~E(f19(x1031,x1032),a18)
% 0.53/1.16 [105]E(x1051,x1052)+~E(f21(x1051),f21(x1052))+~P2(x1052,a20)+~P2(x1051,a20)
% 0.53/1.16 [109]~P1(x1092)+~P4(x1092)+~P6(x1091,x1092)+P8(f2(x1091),f2(x1092))
% 0.53/1.16 [112]~P1(x1121)+~P4(x1121)+~P2(x1122,a20)+P4(f19(x1121,x1122))
% 0.53/1.16 [118]~P1(x1181)+~P1(x1182)+P6(x1181,x1182)+P2(f7(x1182,x1181),x1181)
% 0.53/1.16 [124]P8(x1241,x1242)+P8(f21(x1242),x1241)+~P2(x1242,a20)+~P2(x1241,a20)
% 0.53/1.16 [134]~P8(x1341,x1342)+~P2(x1342,a20)+~P2(x1341,a20)+P6(f15(x1341),f15(x1342))
% 0.53/1.16 [135]~P8(x1351,x1352)+~P2(x1352,a20)+~P2(x1351,a20)+P8(f21(x1351),f21(x1352))
% 0.53/1.16 [137]~P1(x1371)+~P1(x1372)+P6(x1371,x1372)+~P2(f7(x1372,x1371),x1372)
% 0.53/1.16 [139]P8(x1391,x1392)+~P2(x1392,a20)+~P2(x1391,a20)+~P6(f15(x1391),f15(x1392))
% 0.53/1.16 [140]P8(x1401,x1402)+~P2(x1402,a20)+~P2(x1401,a20)+~P8(f21(x1401),f21(x1402))
% 0.53/1.16 [119]P2(x1192,x1191)+~P1(x1191)+~P3(x1192)+E(f17(f16(x1191,x1192),x1192),x1191)
% 0.53/1.16 [126]~E(x1261,x1262)+~P2(x1262,a20)+~P2(x1261,a20)+P2(x1261,f15(f21(x1262)))
% 0.53/1.16 [145]~P2(x1452,a20)+~P2(x1451,a20)+~P2(x1451,f15(x1452))+P2(x1451,f15(f21(x1452)))
% 0.53/1.16 [144]~P1(x1441)+~P4(x1441)+~P2(x1442,x1441)+E(f21(f2(f17(x1441,x1442))),f2(x1441))
% 0.53/1.16 [116]~P1(x1162)+~P6(x1163,x1162)+P2(x1161,x1162)+~P2(x1161,x1163)
% 0.53/1.16 [93]~P1(x932)+~P3(x933)+P1(x931)+~E(x931,f16(x932,x933))
% 0.53/1.16 [94]~P1(x942)+~P3(x943)+P1(x941)+~E(x941,f17(x942,x943))
% 0.53/1.16 [104]~P1(x1042)+P1(x1041)+~P2(x1043,a20)+~E(x1041,f19(x1042,x1043))
% 0.53/1.16 [110]~P2(x1101,x1102)+~P2(x1103,a20)+P2(x1101,a20)+~E(x1102,f15(x1103))
% 0.53/1.16 [121]~P2(x1211,x1213)+~P2(x1212,a20)+P8(f21(x1211),x1212)+~E(x1213,f15(x1212))
% 0.53/1.16 [107]~P1(x1072)+~P1(x1071)+~P6(x1072,x1071)+~P6(x1071,x1072)+E(x1071,x1072)
% 0.53/1.16 [132]~P8(x1322,x1321)+~P8(x1321,x1322)+E(x1321,x1322)+~P2(x1322,a20)+~P2(x1321,a20)
% 0.53/1.16 [98]~P4(x981)+P2(x982,x981)+~E(x982,f23(x981))+~P6(x981,a20)+E(x981,a18)
% 0.53/1.16 [115]~P1(x1152)+~P5(x1152)+~P2(x1151,a20)+E(x1151,a14)+P5(f19(x1152,x1151))
% 0.53/1.16 [136]~P2(x1362,x1361)+P2(f10(x1361,x1362),x1361)+~P6(x1361,a20)+E(x1361,a18)+E(x1362,f22(x1361))
% 0.53/1.16 [146]~P1(x1461)+~P4(x1461)+~P2(x1462,a20)+~P8(x1462,f2(x1461))+P6(f11(x1461,x1462),x1461)
% 0.53/1.16 [147]~P1(x1471)+P2(f13(x1472,x1471),x1471)+~P2(x1472,a20)+E(x1471,f15(x1472))+P2(f13(x1472,x1471),a20)
% 0.53/1.16 [148]~P2(x1482,x1481)+~P6(x1481,a20)+~P8(x1482,f10(x1481,x1482))+E(x1481,a18)+E(x1482,f22(x1481))
% 0.53/1.16 [125]P2(x1252,x1251)+~P1(x1251)+~P3(x1252)+~P4(x1251)+E(f2(f16(x1251,x1252)),f21(f2(x1251)))
% 0.53/1.16 [143]~P1(x1431)+~P4(x1431)+~P2(x1432,a20)+~P8(x1432,f2(x1431))+E(f2(f11(x1431,x1432)),x1432)
% 0.53/1.16 [149]E(x1491,x1492)+P2(x1491,f15(x1492))+~P2(x1492,a20)+~P2(x1491,a20)+~P2(x1491,f15(f21(x1492)))
% 0.53/1.16 [153]~P1(x1531)+P2(f13(x1532,x1531),x1531)+~P2(x1532,a20)+E(x1531,f15(x1532))+P8(f21(f13(x1532,x1531)),x1532)
% 0.53/1.16 [117]~P2(x1173,x1171)+P8(x1172,x1173)+~E(x1172,f22(x1171))+~P6(x1171,a20)+E(x1171,a18)
% 0.53/1.16 [138]P2(x1381,x1382)+~P2(x1383,a20)+~P2(x1381,a20)+~P8(f21(x1381),x1383)+~E(x1382,f15(x1383))
% 0.53/1.16 [111]~P1(x1114)+~P3(x1112)+~P2(x1111,x1113)+~E(x1111,x1112)+~E(x1113,f17(x1114,x1112))
% 0.53/1.16 [113]~P1(x1133)+~P3(x1134)+~P2(x1131,x1132)+P3(x1131)+~E(x1132,f16(x1133,x1134))
% 0.53/1.16 [114]~P1(x1143)+~P3(x1144)+~P2(x1141,x1142)+P3(x1141)+~E(x1142,f17(x1143,x1144))
% 0.53/1.16 [123]~P1(x1232)+~P3(x1234)+~P2(x1231,x1233)+P2(x1231,x1232)+~E(x1233,f17(x1232,x1234))
% 0.53/1.16 [128]~P1(x1284)+~P2(x1281,x1283)+~P2(x1282,a20)+E(f2(x1281),x1282)+~E(x1283,f19(x1284,x1282))
% 0.53/1.16 [133]~P1(x1332)+~P2(x1331,x1333)+P6(x1331,x1332)+~P2(x1334,a20)+~E(x1333,f19(x1332,x1334))
% 0.53/1.16 [142]~P4(x1421)+~P2(x1422,x1421)+P2(f12(x1421,x1422),x1421)+~P6(x1421,a20)+E(x1421,a18)+E(x1422,f23(x1421))
% 0.53/1.16 [151]~P4(x1511)+~P2(x1512,x1511)+~P6(x1511,a20)+~P8(f12(x1511,x1512),x1512)+E(x1511,a18)+E(x1512,f23(x1511))
% 0.53/1.16 [157]~P1(x1571)+~P2(x1572,a20)+~P2(f13(x1572,x1571),x1571)+E(x1571,f15(x1572))+~P2(f13(x1572,x1571),a20)+~P8(f21(f13(x1572,x1571)),x1572)
% 0.53/1.16 [129]~P1(x1292)+~P1(x1291)+~P6(x1293,x1292)+~P6(x1291,x1293)+P6(x1291,x1292)+~P1(x1293)
% 0.53/1.16 [152]~P8(x1521,x1523)+P8(x1521,x1522)+~P8(x1523,x1522)+~P2(x1522,a20)+~P2(x1523,a20)+~P2(x1521,a20)
% 0.53/1.16 [122]~P4(x1221)+~P2(x1222,x1221)+P8(x1222,x1223)+~E(x1223,f23(x1221))+~P6(x1221,a20)+E(x1221,a18)
% 0.58/1.17 [154]~P1(x1541)+~P1(x1542)+~P3(x1543)+P2(f8(x1542,x1543,x1541),x1541)+~E(f8(x1542,x1543,x1541),x1543)+E(x1541,f17(x1542,x1543))
% 0.58/1.17 [155]~P1(x1551)+~P1(x1552)+~P3(x1553)+P2(f9(x1552,x1553,x1551),x1551)+E(x1551,f16(x1552,x1553))+P3(f9(x1552,x1553,x1551))
% 0.58/1.17 [156]~P1(x1561)+~P1(x1562)+~P3(x1563)+P2(f8(x1562,x1563,x1561),x1561)+E(x1561,f17(x1562,x1563))+P3(f8(x1562,x1563,x1561))
% 0.58/1.17 [158]~P1(x1581)+~P1(x1582)+~P3(x1583)+P2(f8(x1582,x1583,x1581),x1581)+P2(f8(x1582,x1583,x1581),x1582)+E(x1581,f17(x1582,x1583))
% 0.58/1.17 [160]~P1(x1601)+~P1(x1602)+P2(f5(x1602,x1603,x1601),x1601)+P6(f5(x1602,x1603,x1601),x1602)+~P2(x1603,a20)+E(x1601,f19(x1602,x1603))
% 0.58/1.17 [159]~P1(x1591)+~P1(x1592)+P2(f5(x1592,x1593,x1591),x1591)+~P2(x1593,a20)+E(x1591,f19(x1592,x1593))+E(f2(f5(x1592,x1593,x1591)),x1593)
% 0.58/1.17 [108]~P1(x1084)+~P3(x1083)+~P3(x1081)+P2(x1081,x1082)+~E(x1081,x1083)+~E(x1082,f16(x1084,x1083))
% 0.58/1.17 [127]~P1(x1273)+~P3(x1272)+~P2(x1271,x1274)+E(x1271,x1272)+P2(x1271,x1273)+~E(x1274,f16(x1273,x1272))
% 0.58/1.17 [130]~P1(x1303)+~P3(x1304)+~P3(x1301)+~P2(x1301,x1303)+P2(x1301,x1302)+~E(x1302,f16(x1303,x1304))
% 0.58/1.17 [141]~P1(x1414)+~P6(x1411,x1414)+P2(x1411,x1412)+~P2(x1413,a20)+~E(x1412,f19(x1414,x1413))+~E(f2(x1411),x1413)
% 0.58/1.17 [150]E(f22(x1502),f22(x1501))+~P6(x1501,a20)+~P6(x1502,a20)+~P2(f22(x1501),x1502)+~P2(f22(x1502),x1501)+E(x1501,a18)+E(x1502,a18)
% 0.58/1.17 [161]~P1(x1611)+~P1(x1612)+~P3(x1613)+E(f9(x1612,x1613,x1611),x1613)+P2(f9(x1612,x1613,x1611),x1611)+P2(f9(x1612,x1613,x1611),x1612)+E(x1611,f16(x1612,x1613))
% 0.58/1.17 [162]~P1(x1621)+~P1(x1622)+~P3(x1623)+~E(f9(x1622,x1623,x1621),x1623)+~P2(f9(x1622,x1623,x1621),x1621)+E(x1621,f16(x1622,x1623))+~P3(f9(x1622,x1623,x1621))
% 0.58/1.17 [163]~P1(x1631)+~P1(x1632)+~P3(x1633)+~P2(f9(x1632,x1633,x1631),x1631)+~P2(f9(x1632,x1633,x1631),x1632)+E(x1631,f16(x1632,x1633))+~P3(f9(x1632,x1633,x1631))
% 0.58/1.17 [164]~P1(x1641)+~P1(x1642)+~P2(x1643,a20)+~P2(f5(x1642,x1643,x1641),x1641)+~P6(f5(x1642,x1643,x1641),x1642)+E(x1641,f19(x1642,x1643))+~E(f2(f5(x1642,x1643,x1641)),x1643)
% 0.58/1.17 [131]~P1(x1314)+~P3(x1312)+~P3(x1311)+~P2(x1311,x1314)+E(x1311,x1312)+P2(x1311,x1313)+~E(x1313,f17(x1314,x1312))
% 0.58/1.17 [165]~P1(x1651)+~P1(x1652)+~P3(x1653)+E(f8(x1652,x1653,x1651),x1653)+~P2(f8(x1652,x1653,x1651),x1651)+~P2(f8(x1652,x1653,x1651),x1652)+E(x1651,f17(x1652,x1653))+~P3(f8(x1652,x1653,x1651))
% 0.58/1.17 %EqnAxiom
% 0.58/1.17 [1]E(x11,x11)
% 0.58/1.17 [2]E(x22,x21)+~E(x21,x22)
% 0.58/1.17 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.58/1.17 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.58/1.17 [5]~E(x51,x52)+E(f15(x51),f15(x52))
% 0.58/1.17 [6]~E(x61,x62)+E(f19(x61,x63),f19(x62,x63))
% 0.58/1.17 [7]~E(x71,x72)+E(f19(x73,x71),f19(x73,x72))
% 0.58/1.17 [8]~E(x81,x82)+E(f8(x81,x83,x84),f8(x82,x83,x84))
% 0.58/1.17 [9]~E(x91,x92)+E(f8(x93,x91,x94),f8(x93,x92,x94))
% 0.58/1.17 [10]~E(x101,x102)+E(f8(x103,x104,x101),f8(x103,x104,x102))
% 0.58/1.17 [11]~E(x111,x112)+E(f17(x111,x113),f17(x112,x113))
% 0.58/1.17 [12]~E(x121,x122)+E(f17(x123,x121),f17(x123,x122))
% 0.58/1.17 [13]~E(x131,x132)+E(f9(x131,x133,x134),f9(x132,x133,x134))
% 0.58/1.17 [14]~E(x141,x142)+E(f9(x143,x141,x144),f9(x143,x142,x144))
% 0.58/1.17 [15]~E(x151,x152)+E(f9(x153,x154,x151),f9(x153,x154,x152))
% 0.58/1.17 [16]~E(x161,x162)+E(f23(x161),f23(x162))
% 0.58/1.17 [17]~E(x171,x172)+E(f22(x171),f22(x172))
% 0.58/1.17 [18]~E(x181,x182)+E(f7(x181,x183),f7(x182,x183))
% 0.58/1.17 [19]~E(x191,x192)+E(f7(x193,x191),f7(x193,x192))
% 0.58/1.17 [20]~E(x201,x202)+E(f21(x201),f21(x202))
% 0.58/1.17 [21]~E(x211,x212)+E(f16(x211,x213),f16(x212,x213))
% 0.58/1.17 [22]~E(x221,x222)+E(f16(x223,x221),f16(x223,x222))
% 0.58/1.17 [23]~E(x231,x232)+E(f3(x231),f3(x232))
% 0.58/1.17 [24]~E(x241,x242)+E(f13(x241,x243),f13(x242,x243))
% 0.58/1.17 [25]~E(x251,x252)+E(f13(x253,x251),f13(x253,x252))
% 0.58/1.17 [26]~E(x261,x262)+E(f11(x261,x263),f11(x262,x263))
% 0.58/1.17 [27]~E(x271,x272)+E(f11(x273,x271),f11(x273,x272))
% 0.58/1.17 [28]~E(x281,x282)+E(f10(x281,x283),f10(x282,x283))
% 0.58/1.17 [29]~E(x291,x292)+E(f10(x293,x291),f10(x293,x292))
% 0.58/1.17 [30]~E(x301,x302)+E(f6(x301),f6(x302))
% 0.58/1.17 [31]~E(x311,x312)+E(f12(x311,x313),f12(x312,x313))
% 0.58/1.17 [32]~E(x321,x322)+E(f12(x323,x321),f12(x323,x322))
% 0.58/1.17 [33]~E(x331,x332)+E(f4(x331),f4(x332))
% 0.58/1.17 [34]~E(x341,x342)+E(f5(x341,x343,x344),f5(x342,x343,x344))
% 0.58/1.17 [35]~E(x351,x352)+E(f5(x353,x351,x354),f5(x353,x352,x354))
% 0.58/1.17 [36]~E(x361,x362)+E(f5(x363,x364,x361),f5(x363,x364,x362))
% 0.58/1.17 [37]~P1(x371)+P1(x372)+~E(x371,x372)
% 0.58/1.17 [38]P2(x382,x383)+~E(x381,x382)+~P2(x381,x383)
% 0.58/1.17 [39]P2(x393,x392)+~E(x391,x392)+~P2(x393,x391)
% 0.58/1.17 [40]P6(x402,x403)+~E(x401,x402)+~P6(x401,x403)
% 0.58/1.17 [41]P6(x413,x412)+~E(x411,x412)+~P6(x413,x411)
% 0.58/1.17 [42]~P3(x421)+P3(x422)+~E(x421,x422)
% 0.58/1.17 [43]~P4(x431)+P4(x432)+~E(x431,x432)
% 0.58/1.17 [44]P8(x442,x443)+~E(x441,x442)+~P8(x441,x443)
% 0.58/1.17 [45]P8(x453,x452)+~E(x451,x452)+~P8(x453,x451)
% 0.58/1.17 [46]~P5(x461)+P5(x462)+~E(x461,x462)
% 0.58/1.17 [47]P7(x472,x473)+~E(x471,x472)+~P7(x471,x473)
% 0.58/1.17 [48]P7(x483,x482)+~E(x481,x482)+~P7(x483,x481)
% 0.58/1.17
% 0.58/1.17 %-------------------------------------------
% 0.58/1.18 cnf(169,plain,
% 0.58/1.18 (~P2(x1691,f15(a14))),
% 0.58/1.18 inference(scs_inference,[],[49,58,50,2,86,73])).
% 0.58/1.18 cnf(171,plain,
% 0.58/1.18 (P1(f15(a14))),
% 0.58/1.18 inference(scs_inference,[],[49,58,50,2,86,73,66])).
% 0.58/1.18 cnf(173,plain,
% 0.58/1.18 (~E(a20,f15(a14))),
% 0.58/1.18 inference(scs_inference,[],[49,58,50,2,86,73,66,39])).
% 0.58/1.18 cnf(174,plain,
% 0.58/1.18 (P2(f2(a1),a20)),
% 0.58/1.18 inference(scs_inference,[],[49,58,59,50,2,86,73,66,39,38])).
% 0.58/1.18 cnf(175,plain,
% 0.58/1.18 (P1(a18)),
% 0.58/1.18 inference(scs_inference,[],[49,58,59,50,2,86,73,66,39,38,37])).
% 0.58/1.18 cnf(177,plain,
% 0.58/1.18 (~P4(a20)),
% 0.58/1.18 inference(scs_inference,[],[49,51,57,58,59,63,50,2,86,73,66,39,38,37,3,71])).
% 0.58/1.18 cnf(179,plain,
% 0.58/1.18 (~P5(f15(a14))),
% 0.58/1.18 inference(scs_inference,[],[49,51,57,58,59,63,50,2,86,73,66,39,38,37,3,71,69])).
% 0.58/1.18 cnf(181,plain,
% 0.58/1.18 (P8(f21(a14),f21(a14))),
% 0.58/1.18 inference(scs_inference,[],[49,51,57,58,59,63,50,2,86,73,66,39,38,37,3,71,69,135])).
% 0.58/1.18 cnf(183,plain,
% 0.58/1.18 (P6(f15(a14),f15(a14))),
% 0.58/1.18 inference(scs_inference,[],[49,51,57,58,59,63,50,2,86,73,66,39,38,37,3,71,69,135,134])).
% 0.58/1.18 cnf(185,plain,
% 0.58/1.18 (P8(a14,a24)),
% 0.58/1.18 inference(scs_inference,[],[49,51,57,58,59,63,50,2,86,73,66,39,38,37,3,71,69,135,134,80])).
% 0.58/1.18 cnf(187,plain,
% 0.58/1.18 (P6(a20,a20)),
% 0.58/1.18 inference(scs_inference,[],[49,51,57,58,59,63,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72])).
% 0.58/1.18 cnf(189,plain,
% 0.58/1.18 (~P8(f21(a14),a14)),
% 0.58/1.18 inference(scs_inference,[],[49,51,57,58,59,63,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97])).
% 0.58/1.18 cnf(195,plain,
% 0.58/1.18 (P2(f21(a14),a20)),
% 0.58/1.18 inference(scs_inference,[],[49,51,57,58,59,63,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87])).
% 0.58/1.18 cnf(197,plain,
% 0.58/1.18 (E(f2(f15(a14)),a14)),
% 0.58/1.18 inference(scs_inference,[],[49,51,57,58,59,63,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79])).
% 0.58/1.18 cnf(199,plain,
% 0.58/1.18 (P4(f15(a14))),
% 0.58/1.18 inference(scs_inference,[],[49,51,57,58,59,63,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78])).
% 0.58/1.18 cnf(201,plain,
% 0.58/1.18 (~E(f21(a14),a14)),
% 0.58/1.18 inference(scs_inference,[],[49,51,57,58,59,63,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76])).
% 0.58/1.18 cnf(205,plain,
% 0.58/1.18 (P3(f2(a20))),
% 0.58/1.18 inference(scs_inference,[],[49,51,57,58,59,63,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70])).
% 0.58/1.18 cnf(207,plain,
% 0.58/1.18 (E(f5(x2071,x2072,f2(a1)),f5(x2071,x2072,a24))),
% 0.58/1.18 inference(scs_inference,[],[49,51,57,58,59,63,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70,36])).
% 0.58/1.18 cnf(208,plain,
% 0.58/1.18 (E(f5(x2081,f2(a1),x2082),f5(x2081,a24,x2082))),
% 0.58/1.18 inference(scs_inference,[],[49,51,57,58,59,63,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70,36,35])).
% 0.58/1.18 cnf(213,plain,
% 0.58/1.18 (E(f6(f2(a1)),f6(a24))),
% 0.58/1.18 inference(scs_inference,[],[49,51,57,58,59,63,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70,36,35,34,33,32,31,30])).
% 0.58/1.18 cnf(236,plain,
% 0.58/1.18 (E(f19(x2361,f2(a1)),f19(x2361,a24))),
% 0.58/1.18 inference(scs_inference,[],[49,51,57,58,59,63,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7])).
% 0.58/1.18 cnf(238,plain,
% 0.58/1.18 (E(f15(f2(a1)),f15(a24))),
% 0.58/1.18 inference(scs_inference,[],[49,51,57,58,59,63,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 0.58/1.18 cnf(240,plain,
% 0.58/1.18 (~P8(f21(a14),f2(f15(a14)))),
% 0.58/1.18 inference(scs_inference,[],[49,51,57,58,59,63,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,45])).
% 0.58/1.18 cnf(241,plain,
% 0.58/1.18 (~E(a14,f21(a14))),
% 0.58/1.18 inference(scs_inference,[],[49,51,57,58,59,63,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,45,44])).
% 0.58/1.18 cnf(244,plain,
% 0.58/1.18 (P3(a14)),
% 0.58/1.18 inference(scs_inference,[],[49,51,55,57,58,59,63,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,45,44,43,42,85])).
% 0.58/1.18 cnf(246,plain,
% 0.58/1.18 (P1(f15(f2(a1)))),
% 0.58/1.18 inference(scs_inference,[],[49,51,55,57,58,59,63,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,45,44,43,42,85,82])).
% 0.58/1.18 cnf(248,plain,
% 0.58/1.18 (~P2(f2(a20),a20)),
% 0.58/1.18 inference(scs_inference,[],[49,51,55,57,58,59,63,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,45,44,43,42,85,82,91])).
% 0.58/1.18 cnf(250,plain,
% 0.58/1.18 (P2(f6(f21(a14)),a20)),
% 0.58/1.18 inference(scs_inference,[],[49,51,55,57,58,59,63,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,45,44,43,42,85,82,91,90])).
% 0.58/1.18 cnf(254,plain,
% 0.58/1.18 (E(f21(f6(f21(a14))),f21(a14))),
% 0.58/1.18 inference(scs_inference,[],[49,51,55,57,58,59,63,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,45,44,43,42,85,82,91,90,83,81])).
% 0.58/1.18 cnf(256,plain,
% 0.58/1.18 (P2(f3(a1),a1)),
% 0.58/1.18 inference(scs_inference,[],[49,51,54,55,57,58,59,63,64,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,45,44,43,42,85,82,91,90,83,81,77])).
% 0.58/1.18 cnf(258,plain,
% 0.58/1.18 (~E(f2(a1),a14)),
% 0.58/1.18 inference(scs_inference,[],[49,51,54,55,57,58,59,63,64,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,45,44,43,42,85,82,91,90,83,81,77,68])).
% 0.58/1.18 cnf(260,plain,
% 0.58/1.18 (E(f16(f17(a20,a14),a14),a20)),
% 0.58/1.18 inference(scs_inference,[],[49,51,54,55,57,58,59,63,64,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,45,44,43,42,85,82,91,90,83,81,77,68,120])).
% 0.58/1.18 cnf(262,plain,
% 0.58/1.18 (~P6(a20,a1)),
% 0.58/1.18 inference(scs_inference,[],[49,51,54,55,56,57,58,59,63,64,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,45,44,43,42,85,82,91,90,83,81,77,68,120,92])).
% 0.58/1.18 cnf(266,plain,
% 0.58/1.18 (P1(f19(a20,f2(a1)))),
% 0.58/1.18 inference(scs_inference,[],[49,51,54,55,56,57,58,59,63,64,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,45,44,43,42,85,82,91,90,83,81,77,68,120,92,110,104])).
% 0.58/1.18 cnf(272,plain,
% 0.58/1.18 (P5(f17(a20,f2(a20)))),
% 0.58/1.18 inference(scs_inference,[],[49,51,54,55,56,57,58,59,63,64,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,45,44,43,42,85,82,91,90,83,81,77,68,120,92,110,104,112,103,102])).
% 0.58/1.18 cnf(280,plain,
% 0.58/1.18 (~P8(f21(f21(a14)),f21(a14))),
% 0.58/1.18 inference(scs_inference,[],[49,51,54,55,56,57,58,59,63,64,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,45,44,43,42,85,82,91,90,83,81,77,68,120,92,110,104,112,103,102,101,100,99,140])).
% 0.58/1.18 cnf(282,plain,
% 0.58/1.18 (~P6(f15(f21(a14)),f15(a14))),
% 0.58/1.18 inference(scs_inference,[],[49,51,54,55,56,57,58,59,63,64,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,45,44,43,42,85,82,91,90,83,81,77,68,120,92,110,104,112,103,102,101,100,99,140,139])).
% 0.58/1.18 cnf(288,plain,
% 0.58/1.18 (P8(f2(f15(a14)),f2(f15(a14)))),
% 0.58/1.18 inference(scs_inference,[],[49,51,54,55,56,57,58,59,63,64,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,45,44,43,42,85,82,91,90,83,81,77,68,120,92,110,104,112,103,102,101,100,99,140,139,137,118,109])).
% 0.58/1.18 cnf(290,plain,
% 0.58/1.18 (E(f17(f16(a20,f2(a20)),f2(a20)),a20)),
% 0.58/1.18 inference(scs_inference,[],[49,51,54,55,56,57,58,59,63,64,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,45,44,43,42,85,82,91,90,83,81,77,68,120,92,110,104,112,103,102,101,100,99,140,139,137,118,109,119])).
% 0.58/1.18 cnf(292,plain,
% 0.58/1.18 (~E(a20,f17(f15(a14),f2(a20)))),
% 0.58/1.18 inference(scs_inference,[],[49,51,54,55,56,57,58,59,63,64,50,2,86,73,66,39,38,37,3,71,69,135,134,80,72,97,89,88,87,79,78,76,74,70,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,45,44,43,42,85,82,91,90,83,81,77,68,120,92,110,104,112,103,102,101,100,99,140,139,137,118,109,119,123])).
% 0.58/1.18 cnf(337,plain,
% 0.58/1.18 (E(f19(x3371,f2(a1)),f19(x3371,a24))),
% 0.58/1.18 inference(rename_variables,[],[236])).
% 0.58/1.18 cnf(340,plain,
% 0.58/1.18 (~P2(x3401,f15(a14))),
% 0.58/1.18 inference(rename_variables,[],[169])).
% 0.58/1.18 cnf(344,plain,
% 0.58/1.18 (~P5(a1)),
% 0.58/1.18 inference(scs_inference,[],[60,56,63,54,59,51,58,236,169,280,282,171,205,292,195,185,121,105,132,133,158,73,71])).
% 0.58/1.18 cnf(346,plain,
% 0.58/1.18 (P2(f2(f15(a14)),a20)),
% 0.58/1.18 inference(scs_inference,[],[60,56,63,54,59,51,58,236,169,280,282,171,199,205,292,195,185,121,105,132,133,158,73,71,83])).
% 0.58/1.18 cnf(352,plain,
% 0.58/1.18 (P2(f2(a1),f15(f21(a24)))),
% 0.58/1.18 inference(scs_inference,[],[49,52,60,56,63,54,55,59,51,58,236,169,280,282,171,199,205,292,174,195,175,177,185,121,105,132,133,158,73,71,83,68,92,126])).
% 0.58/1.18 cnf(360,plain,
% 0.58/1.18 (P5(f19(a20,f2(a1)))),
% 0.58/1.18 inference(scs_inference,[],[49,52,60,56,63,57,54,55,59,51,58,236,169,280,282,171,199,205,292,174,195,258,175,177,185,121,105,132,133,158,73,71,83,68,92,126,112,103,100,115])).
% 0.58/1.18 cnf(365,plain,
% 0.58/1.18 (~P2(f2(a20),a1)),
% 0.58/1.18 inference(scs_inference,[],[49,52,60,65,56,63,57,54,55,59,51,58,236,169,280,282,171,199,205,292,174,195,258,175,177,185,121,105,132,133,158,73,71,83,68,92,126,112,103,100,115,69,2,75])).
% 0.58/1.18 cnf(368,plain,
% 0.58/1.18 (~E(f15(a14),f15(f21(a14)))),
% 0.58/1.18 inference(scs_inference,[],[49,52,60,65,56,63,57,54,55,59,51,58,236,169,280,282,171,183,199,205,292,174,195,258,175,177,185,121,105,132,133,158,73,71,83,68,92,126,112,103,100,115,69,2,75,44,40])).
% 0.58/1.18 cnf(370,plain,
% 0.58/1.18 (P3(a27)),
% 0.58/1.18 inference(scs_inference,[],[49,52,60,65,56,63,57,54,55,59,51,58,236,169,248,280,282,171,183,199,205,292,174,195,258,175,177,185,121,105,132,133,158,73,71,83,68,92,126,112,103,100,115,69,2,75,44,40,38,85])).
% 0.58/1.18 cnf(372,plain,
% 0.58/1.18 (P2(f6(f2(a1)),a20)),
% 0.58/1.18 inference(scs_inference,[],[49,52,60,65,56,63,57,54,55,59,51,58,236,169,248,280,282,171,183,199,205,292,174,195,258,175,177,185,121,105,132,133,158,73,71,83,68,92,126,112,103,100,115,69,2,75,44,40,38,85,90])).
% 0.58/1.18 cnf(381,plain,
% 0.58/1.18 (~P2(x3811,f15(a14))),
% 0.58/1.18 inference(rename_variables,[],[169])).
% 0.58/1.18 cnf(383,plain,
% 0.58/1.18 (P8(f21(f2(f15(a14))),f21(a14))),
% 0.58/1.18 inference(scs_inference,[],[49,52,60,65,56,63,57,54,55,59,51,58,236,169,340,240,248,280,282,171,183,199,205,292,174,195,258,175,177,185,121,105,132,133,158,73,71,83,68,92,126,112,103,100,115,69,2,75,44,40,38,85,90,81,77,120,116,124])).
% 0.58/1.18 cnf(392,plain,
% 0.58/1.18 (P8(f2(f15(a14)),a14)),
% 0.58/1.18 inference(scs_inference,[],[49,52,60,65,56,63,57,54,55,59,51,58,236,337,169,340,240,248,266,280,282,171,183,199,205,292,174,195,258,175,177,185,121,105,132,133,158,73,71,83,68,92,126,112,103,100,115,69,2,75,44,40,38,85,90,81,77,120,116,124,104,101,99,140])).
% 0.58/1.18 cnf(394,plain,
% 0.58/1.18 (E(f17(f16(f15(a14),f2(a20)),f2(a20)),f15(a14))),
% 0.58/1.18 inference(scs_inference,[],[49,52,60,65,56,63,57,54,55,59,51,58,236,337,169,340,381,240,248,266,280,282,171,183,199,205,292,174,195,258,175,177,185,121,105,132,133,158,73,71,83,68,92,126,112,103,100,115,69,2,75,44,40,38,85,90,81,77,120,116,124,104,101,99,140,119])).
% 0.58/1.18 cnf(395,plain,
% 0.58/1.18 (~P2(x3951,f15(a14))),
% 0.58/1.18 inference(rename_variables,[],[169])).
% 0.58/1.18 cnf(398,plain,
% 0.58/1.18 (~P2(x3981,f15(a14))),
% 0.58/1.18 inference(rename_variables,[],[169])).
% 0.58/1.18 cnf(404,plain,
% 0.58/1.18 (P6(f15(a14),a18)),
% 0.58/1.18 inference(scs_inference,[],[49,52,60,65,56,63,57,50,54,55,59,51,58,173,236,337,169,340,381,395,254,240,248,266,280,282,171,183,199,205,290,292,174,195,258,175,177,185,121,105,132,133,158,73,71,83,68,92,126,112,103,100,115,69,2,75,44,40,38,85,90,81,77,120,116,124,104,101,99,140,119,123,147,45,43,41])).
% 0.58/1.18 cnf(405,plain,
% 0.58/1.18 (~P2(x4051,f17(f16(f15(a14),f2(a20)),f2(a20)))),
% 0.58/1.18 inference(scs_inference,[],[49,52,60,65,56,63,57,50,54,55,59,51,58,173,236,337,169,340,381,395,398,254,240,248,266,280,282,171,183,199,205,290,292,174,195,258,175,177,185,121,105,132,133,158,73,71,83,68,92,126,112,103,100,115,69,2,75,44,40,38,85,90,81,77,120,116,124,104,101,99,140,119,123,147,45,43,41,39])).
% 0.58/1.18 cnf(415,plain,
% 0.58/1.18 (~P2(x4151,f15(a14))),
% 0.58/1.18 inference(rename_variables,[],[169])).
% 0.58/1.18 cnf(417,plain,
% 0.58/1.18 (P6(f11(f15(a14),f2(f15(a14))),f15(a14))),
% 0.58/1.18 inference(scs_inference,[],[49,52,60,65,56,63,57,50,54,55,59,51,58,173,236,337,169,340,381,395,398,246,288,254,238,240,248,266,280,282,171,183,199,205,290,292,174,189,195,258,175,177,185,187,121,105,132,133,158,73,71,83,68,92,126,112,103,100,115,69,2,75,44,40,38,85,90,81,77,120,116,124,104,101,99,140,119,123,147,45,43,41,39,37,3,145,95,117,149,146])).
% 0.58/1.18 cnf(419,plain,
% 0.58/1.18 (~P8(f21(a14),f10(a20,f21(a14)))),
% 0.58/1.18 inference(scs_inference,[],[49,52,60,65,56,63,57,50,54,55,59,51,58,173,236,337,169,340,381,395,398,246,288,254,238,240,248,266,280,282,171,183,199,205,290,292,174,189,195,258,175,177,185,187,121,105,132,133,158,73,71,83,68,92,126,112,103,100,115,69,2,75,44,40,38,85,90,81,77,120,116,124,104,101,99,140,119,123,147,45,43,41,39,37,3,145,95,117,149,146,148])).
% 0.58/1.18 cnf(421,plain,
% 0.58/1.18 (P2(f10(a20,f21(a14)),a20)),
% 0.58/1.18 inference(scs_inference,[],[49,52,60,65,56,63,57,50,54,55,59,51,58,173,236,337,169,340,381,395,398,246,288,254,238,240,248,266,280,282,171,183,199,205,290,292,174,189,195,258,175,177,185,187,121,105,132,133,158,73,71,83,68,92,126,112,103,100,115,69,2,75,44,40,38,85,90,81,77,120,116,124,104,101,99,140,119,123,147,45,43,41,39,37,3,145,95,117,149,146,148,136])).
% 0.58/1.18 cnf(423,plain,
% 0.58/1.18 (P8(f21(f13(f21(a14),f15(a14))),f21(a14))),
% 0.58/1.18 inference(scs_inference,[],[49,52,60,65,56,63,57,50,54,55,59,51,58,173,236,337,169,340,381,395,398,415,246,288,254,238,240,248,266,280,282,171,183,199,205,290,292,174,189,195,258,175,177,185,187,121,105,132,133,158,73,71,83,68,92,126,112,103,100,115,69,2,75,44,40,38,85,90,81,77,120,116,124,104,101,99,140,119,123,147,45,43,41,39,37,3,145,95,117,149,146,148,136,153])).
% 0.58/1.18 cnf(424,plain,
% 0.58/1.18 (~P2(x4241,f15(a14))),
% 0.58/1.18 inference(rename_variables,[],[169])).
% 0.58/1.18 cnf(426,plain,
% 0.58/1.18 (~E(f15(a14),f19(f15(a14),a14))),
% 0.58/1.18 inference(scs_inference,[],[49,52,60,65,56,63,57,50,54,55,59,51,58,173,236,337,169,340,381,395,398,415,424,246,288,197,254,238,240,248,266,280,282,171,183,199,205,290,292,174,189,195,258,175,177,185,187,121,105,132,133,158,73,71,83,68,92,126,112,103,100,115,69,2,75,44,40,38,85,90,81,77,120,116,124,104,101,99,140,119,123,147,45,43,41,39,37,3,145,95,117,149,146,148,136,153,141])).
% 0.58/1.18 cnf(427,plain,
% 0.58/1.18 (~P2(x4271,f15(a14))),
% 0.58/1.18 inference(rename_variables,[],[169])).
% 0.58/1.18 cnf(432,plain,
% 0.58/1.18 (P1(f17(f16(f15(a14),f2(a20)),f2(a20)))),
% 0.58/1.18 inference(scs_inference,[],[49,52,60,65,56,63,57,50,54,55,59,51,58,173,236,337,169,340,381,395,398,415,424,246,288,197,254,238,240,248,266,272,280,282,171,179,183,199,205,290,292,174,189,195,258,175,177,185,187,121,105,132,133,158,73,71,83,68,92,126,112,103,100,115,69,2,75,44,40,38,85,90,81,77,120,116,124,104,101,99,140,119,123,147,45,43,41,39,37,3,145,95,117,149,146,148,136,153,141,157,46,82])).
% 0.58/1.18 cnf(434,plain,
% 0.58/1.18 (~P6(f15(f21(a14)),f15(f2(f15(a14))))),
% 0.58/1.18 inference(scs_inference,[],[49,52,60,65,56,63,57,50,54,55,59,51,58,173,236,337,169,340,381,395,398,415,424,246,288,197,254,238,240,248,266,272,280,282,171,179,183,199,205,290,292,174,189,195,258,175,177,185,187,121,105,132,133,158,73,71,83,68,92,126,112,103,100,115,69,2,75,44,40,38,85,90,81,77,120,116,124,104,101,99,140,119,123,147,45,43,41,39,37,3,145,95,117,149,146,148,136,153,141,157,46,82,139])).
% 0.58/1.18 cnf(436,plain,
% 0.58/1.18 (~P8(f21(a14),f6(f21(a14)))),
% 0.58/1.18 inference(scs_inference,[],[49,52,60,65,56,63,57,50,54,55,59,51,58,173,236,337,169,340,381,395,398,415,424,246,288,197,254,238,240,248,266,272,280,282,171,179,183,199,205,290,250,292,174,189,195,258,175,177,185,187,121,105,132,133,158,73,71,83,68,92,126,112,103,100,115,69,2,75,44,40,38,85,90,81,77,120,116,124,104,101,99,140,119,123,147,45,43,41,39,37,3,145,95,117,149,146,148,136,153,141,157,46,82,139,135])).
% 0.58/1.18 cnf(439,plain,
% 0.58/1.18 (~P2(x4391,f15(a14))),
% 0.58/1.18 inference(rename_variables,[],[169])).
% 0.58/1.18 cnf(441,plain,
% 0.58/1.18 (P8(f2(f15(a14)),f2(a18))),
% 0.58/1.18 inference(scs_inference,[],[49,52,60,65,56,63,57,50,54,55,59,51,58,173,236,337,169,340,381,395,398,415,424,427,246,288,197,254,238,240,248,266,272,280,282,171,179,183,199,205,290,250,292,174,189,195,258,175,177,185,187,121,105,132,133,158,73,71,83,68,92,126,112,103,100,115,69,2,75,44,40,38,85,90,81,77,120,116,124,104,101,99,140,119,123,147,45,43,41,39,37,3,145,95,117,149,146,148,136,153,141,157,46,82,139,135,118,109])).
% 0.58/1.18 cnf(443,plain,
% 0.58/1.18 (~E(f15(a14),f16(a25,a27))),
% 0.58/1.18 inference(scs_inference,[],[49,52,60,65,56,63,57,50,54,55,59,51,58,173,236,337,169,340,381,395,398,415,424,427,439,246,288,197,254,238,240,248,266,272,280,282,171,179,183,199,205,290,250,292,174,189,195,258,175,177,185,187,121,105,132,133,158,73,71,83,68,92,126,112,103,100,115,69,2,75,44,40,38,85,90,81,77,120,116,124,104,101,99,140,119,123,147,45,43,41,39,37,3,145,95,117,149,146,148,136,153,141,157,46,82,139,135,118,109,130])).
% 0.58/1.18 cnf(464,plain,
% 0.58/1.18 (~P2(x4641,f15(a14))),
% 0.58/1.18 inference(rename_variables,[],[169])).
% 0.58/1.18 cnf(467,plain,
% 0.58/1.18 (~P2(x4671,f15(a14))),
% 0.58/1.18 inference(rename_variables,[],[169])).
% 0.58/1.18 cnf(473,plain,
% 0.58/1.18 (~E(f17(f16(f15(a14),f2(a20)),f2(a20)),f19(a18,a14))),
% 0.58/1.18 inference(scs_inference,[],[56,54,55,59,58,405,392,441,426,346,365,404,197,169,464,185,175,205,171,125,160,159,152,146,141])).
% 0.58/1.18 cnf(474,plain,
% 0.58/1.18 (~P2(x4741,f17(f16(f15(a14),f2(a20)),f2(a20)))),
% 0.58/1.18 inference(rename_variables,[],[405])).
% 0.58/1.18 cnf(486,plain,
% 0.58/1.18 (~P8(f21(a24),a14)),
% 0.58/1.18 inference(scs_inference,[],[53,56,54,55,59,58,405,474,181,241,392,394,436,441,426,346,365,404,244,197,169,464,250,185,175,195,205,171,125,160,159,152,146,141,121,105,134,112,111,138])).
% 0.58/1.18 cnf(487,plain,
% 0.58/1.18 (~P2(x4871,f17(f16(f15(a14),f2(a20)),f2(a20)))),
% 0.58/1.18 inference(rename_variables,[],[405])).
% 0.58/1.18 cnf(492,plain,
% 0.58/1.18 (~P2(x4921,f15(a14))),
% 0.58/1.18 inference(rename_variables,[],[169])).
% 0.58/1.18 cnf(495,plain,
% 0.58/1.18 (~P2(x4951,f15(a14))),
% 0.58/1.18 inference(rename_variables,[],[169])).
% 0.58/1.18 cnf(499,plain,
% 0.58/1.18 (P4(f11(f15(a14),f2(f15(a14))))),
% 0.58/1.18 inference(scs_inference,[],[53,56,57,54,55,59,51,58,405,474,181,241,360,392,394,417,201,436,441,426,346,365,404,244,197,169,464,467,492,266,250,185,199,175,195,205,171,125,160,159,152,146,141,121,105,134,112,111,138,115,149,158,69,92])).
% 0.58/1.18 cnf(501,plain,
% 0.58/1.18 (~P3(f3(a1))),
% 0.58/1.18 inference(scs_inference,[],[53,56,57,54,55,59,51,58,405,474,181,241,360,392,394,417,201,436,441,426,346,256,365,404,244,197,169,464,467,492,266,250,185,199,175,195,205,171,125,160,159,152,146,141,121,105,134,112,111,138,115,149,158,69,92,75])).
% 0.58/1.18 cnf(509,plain,
% 0.58/1.18 (P2(f13(f21(a14),f15(a14)),a20)),
% 0.58/1.18 inference(scs_inference,[],[53,56,57,54,55,59,51,58,405,474,181,241,360,368,392,394,417,201,436,441,426,346,256,365,404,244,197,169,464,467,492,495,266,250,185,199,175,195,205,171,125,160,159,152,146,141,121,105,134,112,111,138,115,149,158,69,92,75,71,100,119,147])).
% 0.58/1.18 cnf(510,plain,
% 0.58/1.18 (~P2(x5101,f15(a14))),
% 0.58/1.18 inference(rename_variables,[],[169])).
% 0.58/1.18 cnf(516,plain,
% 0.58/1.18 (~P2(x5161,f17(f16(f15(a14),f2(a20)),f2(a20)))),
% 0.58/1.18 inference(rename_variables,[],[405])).
% 0.58/1.18 cnf(521,plain,
% 0.58/1.18 (E(f17(f16(f15(a14),f2(a20)),f2(a20)),a18)),
% 0.58/1.18 inference(scs_inference,[],[53,56,57,54,55,59,51,58,405,474,487,516,432,181,241,360,368,383,392,394,417,201,436,441,419,426,421,346,256,365,404,244,344,197,169,464,467,492,495,266,250,185,199,280,175,195,205,171,125,160,159,152,146,141,121,105,134,112,111,138,115,149,158,69,92,75,71,100,119,147,46,140,118,44,85,77])).
% 0.58/1.18 cnf(522,plain,
% 0.58/1.18 (~P2(x5221,f17(f16(f15(a14),f2(a20)),f2(a20)))),
% 0.58/1.18 inference(rename_variables,[],[405])).
% 0.58/1.18 cnf(529,plain,
% 0.58/1.18 (~P2(x5291,f17(f16(f15(a14),f2(a20)),f2(a20)))),
% 0.58/1.18 inference(rename_variables,[],[405])).
% 0.58/1.18 cnf(536,plain,
% 0.58/1.18 (E(a18,f15(a14))),
% 0.58/1.18 inference(scs_inference,[],[50,53,61,56,57,54,55,59,51,58,405,474,487,516,522,432,181,241,360,368,383,392,394,417,201,436,441,419,426,262,421,346,260,256,365,404,244,344,197,169,464,467,492,495,266,250,185,199,280,175,195,205,171,125,160,159,152,146,141,121,105,134,112,111,138,115,149,158,69,92,75,71,100,119,147,46,140,118,44,85,77,124,99,123,40,101,135,2])).
% 0.58/1.18 cnf(547,plain,
% 0.58/1.18 (P3(f9(a25,a27,f15(a14)))),
% 0.58/1.18 inference(scs_inference,[],[50,53,61,56,57,60,54,55,52,59,51,58,405,474,487,516,522,432,181,207,208,241,360,368,434,383,392,394,417,201,213,436,441,419,426,262,443,421,346,372,260,256,365,404,244,344,370,197,169,464,467,492,495,510,266,250,185,199,248,280,175,177,195,205,171,125,160,159,152,146,141,121,105,134,112,111,138,115,149,158,69,92,75,71,100,119,147,46,140,118,44,85,77,124,99,123,40,101,135,2,43,41,3,38,39,45,144,155])).
% 0.58/1.18 cnf(564,plain,
% 0.58/1.18 (P1(f11(f15(a14),f2(f15(a14))))),
% 0.58/1.18 inference(scs_inference,[],[50,53,61,56,57,60,54,55,52,59,51,58,405,474,487,516,522,529,432,181,207,208,241,352,360,368,434,383,392,394,417,201,213,436,441,419,426,262,443,421,346,372,260,256,365,404,244,344,370,197,169,464,467,492,495,510,266,250,185,199,248,280,175,177,258,174,195,205,171,125,160,159,152,146,141,121,105,134,112,111,138,115,149,158,69,92,75,71,100,119,147,46,140,118,44,85,77,124,99,123,40,101,135,2,43,41,3,38,39,45,144,155,114,113,127,102,73,128,20,84])).
% 0.58/1.18 cnf(605,plain,
% 0.58/1.18 ($false),
% 0.58/1.18 inference(scs_inference,[],[50,57,54,51,58,499,564,473,423,547,501,521,509,486,536,405,254,250,256,432,175,160,42,121,102,69,105,75,71,140,20,85]),
% 0.58/1.18 ['proof']).
% 0.58/1.18 % SZS output end Proof
% 0.58/1.18 % Total time :0.480000s
%------------------------------------------------------------------------------