TSTP Solution File: NUM551+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM551+3 : 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 : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 10:23:03 EDT 2023
% Result : Theorem 1.07s 1.14s
% Output : CNFRefutation 1.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM551+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 09:57:47 EDT 2023
% 0.21/0.34 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 1.07/1.12 %-------------------------------------------
% 1.07/1.12 % File :CSE---1.6
% 1.07/1.12 % Problem :theBenchmark
% 1.07/1.12 % Transform :cnf
% 1.07/1.12 % Format :tptp:raw
% 1.07/1.12 % Command :java -jar mcs_scs.jar %d %s
% 1.07/1.12
% 1.07/1.12 % Result :Theorem 0.460000s
% 1.07/1.12 % Output :CNFRefutation 0.460000s
% 1.07/1.12 %-------------------------------------------
% 1.07/1.12 %------------------------------------------------------------------------------
% 1.07/1.12 % File : NUM551+3 : TPTP v8.1.2. Released v4.0.0.
% 1.07/1.12 % Domain : Number Theory
% 1.07/1.12 % Problem : Ramsey's Infinite Theorem 12_03_02, 02 expansion
% 1.07/1.12 % Version : Especial.
% 1.07/1.12 % English :
% 1.07/1.12
% 1.07/1.12 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 1.07/1.12 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 1.07/1.12 % Source : [Pas08]
% 1.07/1.12 % Names : ramsey_12_03_02.02 [Pas08]
% 1.07/1.12
% 1.07/1.12 % Status : Theorem
% 1.07/1.13 % Rating : 0.14 v8.1.0, 0.08 v7.5.0, 0.09 v7.4.0, 0.10 v7.3.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.10 v6.4.0, 0.08 v6.2.0, 0.12 v6.1.0, 0.10 v6.0.0, 0.09 v5.5.0, 0.11 v5.4.0, 0.14 v5.3.0, 0.19 v5.2.0, 0.15 v5.1.0, 0.24 v5.0.0, 0.29 v4.1.0, 0.35 v4.0.1, 0.70 v4.0.0
% 1.07/1.13 % Syntax : Number of formulae : 68 ( 5 unt; 8 def)
% 1.07/1.13 % Number of atoms : 289 ( 47 equ)
% 1.07/1.13 % Maximal formula atoms : 43 ( 4 avg)
% 1.07/1.13 % Number of connectives : 242 ( 21 ~; 9 |; 96 &)
% 1.07/1.13 % ( 17 <=>; 99 =>; 0 <=; 0 <~>)
% 1.07/1.13 % Maximal formula depth : 17 ( 5 avg)
% 1.07/1.13 % Maximal term depth : 4 ( 1 avg)
% 1.07/1.13 % Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% 1.07/1.13 % Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% 1.07/1.13 % Number of variables : 120 ( 113 !; 7 ?)
% 1.07/1.13 % SPC : FOF_THM_RFO_SEQ
% 1.07/1.13
% 1.07/1.13 % Comments : Problem generated by the SAD system [VLP07]
% 1.07/1.13 %------------------------------------------------------------------------------
% 1.07/1.13 fof(mSetSort,axiom,
% 1.07/1.13 ! [W0] :
% 1.07/1.13 ( aSet0(W0)
% 1.07/1.13 => $true ) ).
% 1.07/1.13
% 1.07/1.13 fof(mElmSort,axiom,
% 1.07/1.13 ! [W0] :
% 1.07/1.13 ( aElement0(W0)
% 1.07/1.13 => $true ) ).
% 1.07/1.13
% 1.07/1.13 fof(mEOfElem,axiom,
% 1.07/1.13 ! [W0] :
% 1.07/1.13 ( aSet0(W0)
% 1.07/1.13 => ! [W1] :
% 1.07/1.13 ( aElementOf0(W1,W0)
% 1.07/1.13 => aElement0(W1) ) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mFinRel,axiom,
% 1.07/1.13 ! [W0] :
% 1.07/1.13 ( aSet0(W0)
% 1.07/1.13 => ( isFinite0(W0)
% 1.07/1.13 => $true ) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mDefEmp,definition,
% 1.07/1.13 ! [W0] :
% 1.07/1.13 ( W0 = slcrc0
% 1.07/1.13 <=> ( aSet0(W0)
% 1.07/1.13 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mEmpFin,axiom,
% 1.07/1.13 isFinite0(slcrc0) ).
% 1.07/1.13
% 1.07/1.13 fof(mCntRel,axiom,
% 1.07/1.13 ! [W0] :
% 1.07/1.13 ( aSet0(W0)
% 1.07/1.13 => ( isCountable0(W0)
% 1.07/1.13 => $true ) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mCountNFin,axiom,
% 1.07/1.13 ! [W0] :
% 1.07/1.13 ( ( aSet0(W0)
% 1.07/1.13 & isCountable0(W0) )
% 1.07/1.13 => ~ isFinite0(W0) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mCountNFin_01,axiom,
% 1.07/1.13 ! [W0] :
% 1.07/1.13 ( ( aSet0(W0)
% 1.07/1.13 & isCountable0(W0) )
% 1.07/1.13 => W0 != slcrc0 ) ).
% 1.07/1.13
% 1.07/1.13 fof(mDefSub,definition,
% 1.07/1.13 ! [W0] :
% 1.07/1.13 ( aSet0(W0)
% 1.07/1.13 => ! [W1] :
% 1.07/1.13 ( aSubsetOf0(W1,W0)
% 1.07/1.13 <=> ( aSet0(W1)
% 1.07/1.13 & ! [W2] :
% 1.07/1.13 ( aElementOf0(W2,W1)
% 1.07/1.13 => aElementOf0(W2,W0) ) ) ) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mSubFSet,axiom,
% 1.07/1.13 ! [W0] :
% 1.07/1.13 ( ( aSet0(W0)
% 1.07/1.13 & isFinite0(W0) )
% 1.07/1.13 => ! [W1] :
% 1.07/1.13 ( aSubsetOf0(W1,W0)
% 1.07/1.13 => isFinite0(W1) ) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mSubRefl,axiom,
% 1.07/1.13 ! [W0] :
% 1.07/1.13 ( aSet0(W0)
% 1.07/1.13 => aSubsetOf0(W0,W0) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mSubASymm,axiom,
% 1.07/1.13 ! [W0,W1] :
% 1.07/1.13 ( ( aSet0(W0)
% 1.07/1.13 & aSet0(W1) )
% 1.07/1.13 => ( ( aSubsetOf0(W0,W1)
% 1.07/1.13 & aSubsetOf0(W1,W0) )
% 1.07/1.13 => W0 = W1 ) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mSubTrans,axiom,
% 1.07/1.13 ! [W0,W1,W2] :
% 1.07/1.13 ( ( aSet0(W0)
% 1.07/1.13 & aSet0(W1)
% 1.07/1.13 & aSet0(W2) )
% 1.07/1.13 => ( ( aSubsetOf0(W0,W1)
% 1.07/1.13 & aSubsetOf0(W1,W2) )
% 1.07/1.13 => aSubsetOf0(W0,W2) ) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mDefCons,definition,
% 1.07/1.13 ! [W0,W1] :
% 1.07/1.13 ( ( aSet0(W0)
% 1.07/1.13 & aElement0(W1) )
% 1.07/1.13 => ! [W2] :
% 1.07/1.13 ( W2 = sdtpldt0(W0,W1)
% 1.07/1.13 <=> ( aSet0(W2)
% 1.07/1.13 & ! [W3] :
% 1.07/1.13 ( aElementOf0(W3,W2)
% 1.07/1.13 <=> ( aElement0(W3)
% 1.07/1.13 & ( aElementOf0(W3,W0)
% 1.07/1.13 | W3 = W1 ) ) ) ) ) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mDefDiff,definition,
% 1.07/1.13 ! [W0,W1] :
% 1.07/1.13 ( ( aSet0(W0)
% 1.07/1.13 & aElement0(W1) )
% 1.07/1.13 => ! [W2] :
% 1.07/1.13 ( W2 = sdtmndt0(W0,W1)
% 1.07/1.13 <=> ( aSet0(W2)
% 1.07/1.13 & ! [W3] :
% 1.07/1.13 ( aElementOf0(W3,W2)
% 1.07/1.13 <=> ( aElement0(W3)
% 1.07/1.13 & aElementOf0(W3,W0)
% 1.07/1.13 & W3 != W1 ) ) ) ) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mConsDiff,axiom,
% 1.07/1.13 ! [W0] :
% 1.07/1.13 ( aSet0(W0)
% 1.07/1.13 => ! [W1] :
% 1.07/1.13 ( aElementOf0(W1,W0)
% 1.07/1.13 => sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mDiffCons,axiom,
% 1.07/1.13 ! [W0,W1] :
% 1.07/1.13 ( ( aElement0(W0)
% 1.07/1.13 & aSet0(W1) )
% 1.07/1.13 => ( ~ aElementOf0(W0,W1)
% 1.07/1.13 => sdtmndt0(sdtpldt0(W1,W0),W0) = W1 ) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mCConsSet,axiom,
% 1.07/1.13 ! [W0] :
% 1.07/1.13 ( aElement0(W0)
% 1.07/1.13 => ! [W1] :
% 1.07/1.13 ( ( aSet0(W1)
% 1.07/1.13 & isCountable0(W1) )
% 1.07/1.13 => isCountable0(sdtpldt0(W1,W0)) ) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mCDiffSet,axiom,
% 1.07/1.13 ! [W0] :
% 1.07/1.13 ( aElement0(W0)
% 1.07/1.13 => ! [W1] :
% 1.07/1.13 ( ( aSet0(W1)
% 1.07/1.13 & isCountable0(W1) )
% 1.07/1.13 => isCountable0(sdtmndt0(W1,W0)) ) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mFConsSet,axiom,
% 1.07/1.13 ! [W0] :
% 1.07/1.13 ( aElement0(W0)
% 1.07/1.13 => ! [W1] :
% 1.07/1.13 ( ( aSet0(W1)
% 1.07/1.13 & isFinite0(W1) )
% 1.07/1.13 => isFinite0(sdtpldt0(W1,W0)) ) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mFDiffSet,axiom,
% 1.07/1.13 ! [W0] :
% 1.07/1.13 ( aElement0(W0)
% 1.07/1.13 => ! [W1] :
% 1.07/1.13 ( ( aSet0(W1)
% 1.07/1.13 & isFinite0(W1) )
% 1.07/1.13 => isFinite0(sdtmndt0(W1,W0)) ) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mNATSet,axiom,
% 1.07/1.13 ( aSet0(szNzAzT0)
% 1.07/1.13 & isCountable0(szNzAzT0) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mZeroNum,axiom,
% 1.07/1.13 aElementOf0(sz00,szNzAzT0) ).
% 1.07/1.13
% 1.07/1.13 fof(mSuccNum,axiom,
% 1.07/1.13 ! [W0] :
% 1.07/1.13 ( aElementOf0(W0,szNzAzT0)
% 1.07/1.13 => ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
% 1.07/1.13 & szszuzczcdt0(W0) != sz00 ) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mSuccEquSucc,axiom,
% 1.07/1.13 ! [W0,W1] :
% 1.07/1.13 ( ( aElementOf0(W0,szNzAzT0)
% 1.07/1.13 & aElementOf0(W1,szNzAzT0) )
% 1.07/1.13 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 1.07/1.13 => W0 = W1 ) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mNatExtra,axiom,
% 1.07/1.13 ! [W0] :
% 1.07/1.13 ( aElementOf0(W0,szNzAzT0)
% 1.07/1.13 => ( W0 = sz00
% 1.07/1.13 | ? [W1] :
% 1.07/1.13 ( aElementOf0(W1,szNzAzT0)
% 1.07/1.13 & W0 = szszuzczcdt0(W1) ) ) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mNatNSucc,axiom,
% 1.07/1.13 ! [W0] :
% 1.07/1.13 ( aElementOf0(W0,szNzAzT0)
% 1.07/1.13 => W0 != szszuzczcdt0(W0) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mLessRel,axiom,
% 1.07/1.13 ! [W0,W1] :
% 1.07/1.13 ( ( aElementOf0(W0,szNzAzT0)
% 1.07/1.13 & aElementOf0(W1,szNzAzT0) )
% 1.07/1.13 => ( sdtlseqdt0(W0,W1)
% 1.07/1.13 => $true ) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mZeroLess,axiom,
% 1.07/1.13 ! [W0] :
% 1.07/1.13 ( aElementOf0(W0,szNzAzT0)
% 1.07/1.13 => sdtlseqdt0(sz00,W0) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mNoScLessZr,axiom,
% 1.07/1.13 ! [W0] :
% 1.07/1.13 ( aElementOf0(W0,szNzAzT0)
% 1.07/1.13 => ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mSuccLess,axiom,
% 1.07/1.13 ! [W0,W1] :
% 1.07/1.13 ( ( aElementOf0(W0,szNzAzT0)
% 1.07/1.13 & aElementOf0(W1,szNzAzT0) )
% 1.07/1.13 => ( sdtlseqdt0(W0,W1)
% 1.07/1.13 <=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mLessSucc,axiom,
% 1.07/1.13 ! [W0] :
% 1.07/1.13 ( aElementOf0(W0,szNzAzT0)
% 1.07/1.13 => sdtlseqdt0(W0,szszuzczcdt0(W0)) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mLessRefl,axiom,
% 1.07/1.13 ! [W0] :
% 1.07/1.13 ( aElementOf0(W0,szNzAzT0)
% 1.07/1.13 => sdtlseqdt0(W0,W0) ) ).
% 1.07/1.13
% 1.07/1.13 fof(mLessASymm,axiom,
% 1.07/1.13 ! [W0,W1] :
% 1.07/1.13 ( ( aElementOf0(W0,szNzAzT0)
% 1.07/1.13 & aElementOf0(W1,szNzAzT0) )
% 1.07/1.13 => ( ( sdtlseqdt0(W0,W1)
% 1.07/1.13 & sdtlseqdt0(W1,W0) )
% 1.07/1.14 => W0 = W1 ) ) ).
% 1.07/1.14
% 1.07/1.14 fof(mLessTrans,axiom,
% 1.07/1.14 ! [W0,W1,W2] :
% 1.07/1.14 ( ( aElementOf0(W0,szNzAzT0)
% 1.07/1.14 & aElementOf0(W1,szNzAzT0)
% 1.07/1.14 & aElementOf0(W2,szNzAzT0) )
% 1.07/1.14 => ( ( sdtlseqdt0(W0,W1)
% 1.07/1.14 & sdtlseqdt0(W1,W2) )
% 1.07/1.14 => sdtlseqdt0(W0,W2) ) ) ).
% 1.07/1.14
% 1.07/1.14 fof(mLessTotal,axiom,
% 1.07/1.14 ! [W0,W1] :
% 1.07/1.14 ( ( aElementOf0(W0,szNzAzT0)
% 1.07/1.14 & aElementOf0(W1,szNzAzT0) )
% 1.07/1.14 => ( sdtlseqdt0(W0,W1)
% 1.07/1.14 | sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ).
% 1.07/1.14
% 1.07/1.14 fof(mIHSort,axiom,
% 1.07/1.14 ! [W0,W1] :
% 1.07/1.14 ( ( aElementOf0(W0,szNzAzT0)
% 1.07/1.14 & aElementOf0(W1,szNzAzT0) )
% 1.07/1.14 => ( iLess0(W0,W1)
% 1.07/1.14 => $true ) ) ).
% 1.07/1.14
% 1.07/1.14 fof(mIH,axiom,
% 1.07/1.14 ! [W0] :
% 1.07/1.14 ( aElementOf0(W0,szNzAzT0)
% 1.07/1.14 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 1.07/1.14
% 1.07/1.14 fof(mCardS,axiom,
% 1.07/1.14 ! [W0] :
% 1.07/1.14 ( aSet0(W0)
% 1.07/1.14 => aElement0(sbrdtbr0(W0)) ) ).
% 1.07/1.14
% 1.07/1.14 fof(mCardNum,axiom,
% 1.07/1.14 ! [W0] :
% 1.07/1.14 ( aSet0(W0)
% 1.07/1.14 => ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
% 1.07/1.14 <=> isFinite0(W0) ) ) ).
% 1.07/1.14
% 1.07/1.14 fof(mCardEmpty,axiom,
% 1.07/1.14 ! [W0] :
% 1.07/1.14 ( aSet0(W0)
% 1.07/1.14 => ( sbrdtbr0(W0) = sz00
% 1.07/1.14 <=> W0 = slcrc0 ) ) ).
% 1.07/1.14
% 1.07/1.14 fof(mCardCons,axiom,
% 1.07/1.14 ! [W0] :
% 1.07/1.14 ( ( aSet0(W0)
% 1.07/1.14 & isFinite0(W0) )
% 1.07/1.14 => ! [W1] :
% 1.07/1.14 ( aElement0(W1)
% 1.07/1.14 => ( ~ aElementOf0(W1,W0)
% 1.07/1.14 => sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ).
% 1.07/1.14
% 1.07/1.14 fof(mCardDiff,axiom,
% 1.07/1.14 ! [W0] :
% 1.07/1.14 ( aSet0(W0)
% 1.07/1.14 => ! [W1] :
% 1.07/1.14 ( ( isFinite0(W0)
% 1.07/1.14 & aElementOf0(W1,W0) )
% 1.07/1.14 => szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ) ).
% 1.07/1.14
% 1.07/1.14 fof(mCardSub,axiom,
% 1.07/1.14 ! [W0] :
% 1.07/1.14 ( aSet0(W0)
% 1.07/1.14 => ! [W1] :
% 1.07/1.14 ( ( isFinite0(W0)
% 1.07/1.14 & aSubsetOf0(W1,W0) )
% 1.07/1.14 => sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ) ).
% 1.07/1.14
% 1.07/1.14 fof(mCardSubEx,axiom,
% 1.07/1.14 ! [W0,W1] :
% 1.07/1.14 ( ( aSet0(W0)
% 1.07/1.14 & aElementOf0(W1,szNzAzT0) )
% 1.07/1.14 => ( ( isFinite0(W0)
% 1.07/1.14 & sdtlseqdt0(W1,sbrdtbr0(W0)) )
% 1.07/1.14 => ? [W2] :
% 1.07/1.14 ( aSubsetOf0(W2,W0)
% 1.07/1.14 & sbrdtbr0(W2) = W1 ) ) ) ).
% 1.07/1.14
% 1.07/1.14 fof(mDefMin,definition,
% 1.07/1.14 ! [W0] :
% 1.07/1.14 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.07/1.14 & W0 != slcrc0 )
% 1.07/1.14 => ! [W1] :
% 1.07/1.14 ( W1 = szmzizndt0(W0)
% 1.07/1.14 <=> ( aElementOf0(W1,W0)
% 1.07/1.14 & ! [W2] :
% 1.07/1.14 ( aElementOf0(W2,W0)
% 1.07/1.14 => sdtlseqdt0(W1,W2) ) ) ) ) ).
% 1.07/1.14
% 1.07/1.14 fof(mDefMax,definition,
% 1.07/1.14 ! [W0] :
% 1.07/1.14 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.07/1.14 & isFinite0(W0)
% 1.07/1.14 & W0 != slcrc0 )
% 1.07/1.14 => ! [W1] :
% 1.07/1.14 ( W1 = szmzazxdt0(W0)
% 1.07/1.14 <=> ( aElementOf0(W1,W0)
% 1.07/1.14 & ! [W2] :
% 1.07/1.14 ( aElementOf0(W2,W0)
% 1.07/1.14 => sdtlseqdt0(W2,W1) ) ) ) ) ).
% 1.07/1.14
% 1.07/1.14 fof(mMinMin,axiom,
% 1.07/1.14 ! [W0,W1] :
% 1.07/1.14 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.07/1.14 & aSubsetOf0(W1,szNzAzT0)
% 1.07/1.14 & W0 != slcrc0
% 1.07/1.14 & W1 != slcrc0 )
% 1.07/1.14 => ( ( aElementOf0(szmzizndt0(W0),W1)
% 1.07/1.14 & aElementOf0(szmzizndt0(W1),W0) )
% 1.07/1.14 => szmzizndt0(W0) = szmzizndt0(W1) ) ) ).
% 1.07/1.14
% 1.07/1.14 fof(mDefSeg,definition,
% 1.07/1.14 ! [W0] :
% 1.07/1.14 ( aElementOf0(W0,szNzAzT0)
% 1.07/1.14 => ! [W1] :
% 1.07/1.14 ( W1 = slbdtrb0(W0)
% 1.07/1.14 <=> ( aSet0(W1)
% 1.07/1.14 & ! [W2] :
% 1.07/1.14 ( aElementOf0(W2,W1)
% 1.07/1.14 <=> ( aElementOf0(W2,szNzAzT0)
% 1.07/1.14 & sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ) ).
% 1.07/1.14
% 1.07/1.14 fof(mSegFin,axiom,
% 1.07/1.14 ! [W0] :
% 1.07/1.14 ( aElementOf0(W0,szNzAzT0)
% 1.07/1.14 => isFinite0(slbdtrb0(W0)) ) ).
% 1.07/1.14
% 1.07/1.14 fof(mSegZero,axiom,
% 1.07/1.14 slbdtrb0(sz00) = slcrc0 ).
% 1.07/1.14
% 1.07/1.14 fof(mSegSucc,axiom,
% 1.07/1.14 ! [W0,W1] :
% 1.07/1.14 ( ( aElementOf0(W0,szNzAzT0)
% 1.07/1.14 & aElementOf0(W1,szNzAzT0) )
% 1.07/1.14 => ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1)))
% 1.07/1.14 <=> ( aElementOf0(W0,slbdtrb0(W1))
% 1.07/1.14 | W0 = W1 ) ) ) ).
% 1.07/1.14
% 1.07/1.14 fof(mSegLess,axiom,
% 1.07/1.14 ! [W0,W1] :
% 1.07/1.14 ( ( aElementOf0(W0,szNzAzT0)
% 1.07/1.14 & aElementOf0(W1,szNzAzT0) )
% 1.07/1.14 => ( sdtlseqdt0(W0,W1)
% 1.07/1.14 <=> aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)) ) ) ).
% 1.07/1.14
% 1.07/1.14 fof(mFinSubSeg,axiom,
% 1.07/1.14 ! [W0] :
% 1.07/1.14 ( ( aSubsetOf0(W0,szNzAzT0)
% 1.07/1.14 & isFinite0(W0) )
% 1.07/1.14 => ? [W1] :
% 1.07/1.14 ( aElementOf0(W1,szNzAzT0)
% 1.07/1.14 & aSubsetOf0(W0,slbdtrb0(W1)) ) ) ).
% 1.07/1.14
% 1.07/1.14 fof(mCardSeg,axiom,
% 1.07/1.14 ! [W0] :
% 1.07/1.14 ( aElementOf0(W0,szNzAzT0)
% 1.07/1.14 => sbrdtbr0(slbdtrb0(W0)) = W0 ) ).
% 1.07/1.14
% 1.07/1.14 fof(mDefSel,definition,
% 1.07/1.14 ! [W0,W1] :
% 1.07/1.14 ( ( aSet0(W0)
% 1.07/1.14 & aElementOf0(W1,szNzAzT0) )
% 1.07/1.14 => ! [W2] :
% 1.07/1.14 ( W2 = slbdtsldtrb0(W0,W1)
% 1.07/1.14 <=> ( aSet0(W2)
% 1.07/1.14 & ! [W3] :
% 1.07/1.14 ( aElementOf0(W3,W2)
% 1.07/1.14 <=> ( aSubsetOf0(W3,W0)
% 1.07/1.14 & sbrdtbr0(W3) = W1 ) ) ) ) ) ).
% 1.07/1.14
% 1.07/1.14 fof(mSelFSet,axiom,
% 1.07/1.14 ! [W0] :
% 1.07/1.14 ( ( aSet0(W0)
% 1.07/1.14 & isFinite0(W0) )
% 1.07/1.14 => ! [W1] :
% 1.07/1.14 ( aElementOf0(W1,szNzAzT0)
% 1.07/1.14 => isFinite0(slbdtsldtrb0(W0,W1)) ) ) ).
% 1.07/1.14
% 1.07/1.14 fof(mSelNSet,axiom,
% 1.07/1.14 ! [W0] :
% 1.07/1.14 ( ( aSet0(W0)
% 1.07/1.14 & ~ isFinite0(W0) )
% 1.07/1.14 => ! [W1] :
% 1.07/1.14 ( aElementOf0(W1,szNzAzT0)
% 1.07/1.14 => slbdtsldtrb0(W0,W1) != slcrc0 ) ) ).
% 1.07/1.14
% 1.07/1.14 fof(mSelCSet,axiom,
% 1.07/1.14 ! [W0] :
% 1.07/1.14 ( ( aSet0(W0)
% 1.07/1.14 & isCountable0(W0) )
% 1.07/1.14 => ! [W1] :
% 1.07/1.14 ( ( aElementOf0(W1,szNzAzT0)
% 1.07/1.14 & W1 != sz00 )
% 1.07/1.14 => isCountable0(slbdtsldtrb0(W0,W1)) ) ) ).
% 1.07/1.14
% 1.07/1.14 fof(m__2202,hypothesis,
% 1.07/1.14 aElementOf0(xk,szNzAzT0) ).
% 1.07/1.14
% 1.07/1.14 fof(m__2202_02,hypothesis,
% 1.07/1.14 ( aSet0(xS)
% 1.07/1.14 & aSet0(xT)
% 1.07/1.14 & xk != sz00 ) ).
% 1.07/1.14
% 1.07/1.14 fof(m__2227,hypothesis,
% 1.07/1.14 ( aSet0(slbdtsldtrb0(xS,xk))
% 1.07/1.14 & ! [W0] :
% 1.07/1.14 ( ( aElementOf0(W0,slbdtsldtrb0(xS,xk))
% 1.07/1.14 => ( aSet0(W0)
% 1.07/1.14 & ! [W1] :
% 1.07/1.14 ( aElementOf0(W1,W0)
% 1.07/1.14 => aElementOf0(W1,xS) )
% 1.07/1.14 & aSubsetOf0(W0,xS)
% 1.07/1.14 & sbrdtbr0(W0) = xk ) )
% 1.07/1.14 & ( ( ( ( aSet0(W0)
% 1.07/1.14 & ! [W1] :
% 1.07/1.14 ( aElementOf0(W1,W0)
% 1.07/1.14 => aElementOf0(W1,xS) ) )
% 1.07/1.14 | aSubsetOf0(W0,xS) )
% 1.07/1.14 & sbrdtbr0(W0) = xk )
% 1.07/1.14 => aElementOf0(W0,slbdtsldtrb0(xS,xk)) ) )
% 1.07/1.14 & aSet0(slbdtsldtrb0(xT,xk))
% 1.07/1.14 & ! [W0] :
% 1.07/1.14 ( ( aElementOf0(W0,slbdtsldtrb0(xT,xk))
% 1.07/1.14 => ( aSet0(W0)
% 1.07/1.14 & ! [W1] :
% 1.07/1.14 ( aElementOf0(W1,W0)
% 1.07/1.14 => aElementOf0(W1,xT) )
% 1.07/1.14 & aSubsetOf0(W0,xT)
% 1.07/1.14 & sbrdtbr0(W0) = xk ) )
% 1.07/1.14 & ( ( ( ( aSet0(W0)
% 1.07/1.14 & ! [W1] :
% 1.07/1.14 ( aElementOf0(W1,W0)
% 1.07/1.14 => aElementOf0(W1,xT) ) )
% 1.07/1.14 | aSubsetOf0(W0,xT) )
% 1.07/1.14 & sbrdtbr0(W0) = xk )
% 1.07/1.14 => aElementOf0(W0,slbdtsldtrb0(xT,xk)) ) )
% 1.07/1.14 & ! [W0] :
% 1.07/1.14 ( aElementOf0(W0,slbdtsldtrb0(xS,xk))
% 1.07/1.14 => aElementOf0(W0,slbdtsldtrb0(xT,xk)) )
% 1.07/1.14 & aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
% 1.07/1.14 & ~ ( ! [W0] :
% 1.07/1.14 ( ( aElementOf0(W0,slbdtsldtrb0(xS,xk))
% 1.07/1.14 => ( aSet0(W0)
% 1.07/1.14 & ! [W1] :
% 1.07/1.14 ( aElementOf0(W1,W0)
% 1.07/1.14 => aElementOf0(W1,xS) )
% 1.07/1.14 & aSubsetOf0(W0,xS)
% 1.07/1.14 & sbrdtbr0(W0) = xk ) )
% 1.07/1.14 & ( ( ( ( aSet0(W0)
% 1.07/1.14 & ! [W1] :
% 1.07/1.14 ( aElementOf0(W1,W0)
% 1.07/1.14 => aElementOf0(W1,xS) ) )
% 1.07/1.14 | aSubsetOf0(W0,xS) )
% 1.07/1.14 & sbrdtbr0(W0) = xk )
% 1.07/1.14 => aElementOf0(W0,slbdtsldtrb0(xS,xk)) ) )
% 1.07/1.14 => ( ~ ? [W0] : aElementOf0(W0,slbdtsldtrb0(xS,xk))
% 1.07/1.14 | slbdtsldtrb0(xS,xk) = slcrc0 ) ) ) ).
% 1.07/1.14
% 1.07/1.14 fof(m__2256,hypothesis,
% 1.07/1.14 aElementOf0(xx,xS) ).
% 1.07/1.14
% 1.07/1.14 fof(m__2270,hypothesis,
% 1.07/1.14 ( aSet0(xQ)
% 1.07/1.14 & ! [W0] :
% 1.07/1.14 ( aElementOf0(W0,xQ)
% 1.07/1.14 => aElementOf0(W0,xS) )
% 1.07/1.14 & aSubsetOf0(xQ,xS)
% 1.07/1.14 & sbrdtbr0(xQ) = xk
% 1.07/1.14 & aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ) ).
% 1.07/1.14
% 1.07/1.14 fof(m__2291,hypothesis,
% 1.07/1.14 ( aSet0(xQ)
% 1.07/1.14 & isFinite0(xQ)
% 1.07/1.14 & sbrdtbr0(xQ) = xk ) ).
% 1.07/1.14
% 1.07/1.14 fof(m__2313,hypothesis,
% 1.07/1.14 ~ ( ~ ? [W0] : aElementOf0(W0,xQ)
% 1.07/1.14 | xQ = slcrc0 ) ).
% 1.07/1.14
% 1.07/1.14 fof(m__,conjecture,
% 1.07/1.14 ? [W0] :
% 1.07/1.14 ( aElement0(W0)
% 1.07/1.14 & aElementOf0(W0,xQ) ) ).
% 1.07/1.14
% 1.07/1.14 %------------------------------------------------------------------------------
% 1.07/1.14 %-------------------------------------------
% 1.07/1.14 % Proof found
% 1.07/1.14 % SZS status Theorem for theBenchmark
% 1.07/1.14 % SZS output start Proof
% 1.07/1.14 %ClaNum:198(EqnAxiom:51)
% 1.07/1.14 %VarNum:773(SingletonVarNum:239)
% 1.07/1.14 %MaxLitNum:8
% 1.07/1.14 %MaxfuncDepth:3
% 1.07/1.14 %SharedTerms:36
% 1.07/1.14 %goalClause: 85
% 1.07/1.14 [55]P1(a25)
% 1.07/1.14 [56]P1(a30)
% 1.07/1.14 [57]P1(a31)
% 1.07/1.14 [59]P1(a1)
% 1.07/1.14 [60]P4(a23)
% 1.07/1.14 [61]P4(a1)
% 1.07/1.14 [62]P5(a25)
% 1.07/1.14 [63]P2(a19,a25)
% 1.07/1.14 [64]P2(a29,a25)
% 1.07/1.14 [65]P2(a32,a30)
% 1.07/1.14 [66]P2(a3,a1)
% 1.07/1.14 [67]P6(a1,a30)
% 1.07/1.14 [73]~E(a19,a29)
% 1.07/1.14 [74]~E(a23,a1)
% 1.07/1.14 [53]E(f2(a1),a29)
% 1.07/1.14 [54]E(f20(a19),a23)
% 1.07/1.14 [68]P1(f24(a30,a29))
% 1.07/1.14 [69]P1(f24(a31,a29))
% 1.07/1.14 [70]P2(a1,f24(a30,a29))
% 1.07/1.14 [71]P2(a4,f24(a30,a29))
% 1.07/1.14 [72]P6(f24(a30,a29),f24(a31,a29))
% 1.07/1.14 [75]~E(f24(a30,a29),a23)
% 1.07/1.14 [76]P1(x761)+~E(x761,a23)
% 1.07/1.14 [82]~P1(x821)+P6(x821,x821)
% 1.07/1.14 [85]~P3(x851)+~P2(x851,a1)
% 1.07/1.14 [90]~P2(x901,a1)+P2(x901,a30)
% 1.07/1.14 [91]~P2(x911,a25)+P8(a19,x911)
% 1.07/1.14 [97]P8(x971,x971)+~P2(x971,a25)
% 1.07/1.14 [80]~P1(x801)+P3(f2(x801))
% 1.07/1.14 [84]~P2(x841,a25)+~E(f26(x841),a19)
% 1.07/1.14 [86]~P2(x861,a25)+~E(f26(x861),x861)
% 1.07/1.14 [88]~P2(x881,a25)+P4(f20(x881))
% 1.07/1.14 [98]~P2(x981,a25)+P2(f26(x981),a25)
% 1.07/1.14 [99]~P2(x991,a25)+P8(x991,f26(x991))
% 1.07/1.14 [100]~P2(x1001,a25)+P7(x1001,f26(x1001))
% 1.07/1.14 [108]~P2(x1081,a25)+~P8(f26(x1081),a19)
% 1.07/1.14 [118]~P2(x1181,f24(a30,a29))+E(f2(x1181),a29)
% 1.07/1.14 [119]~P2(x1191,f24(a31,a29))+E(f2(x1191),a29)
% 1.07/1.14 [121]P1(x1211)+~P2(x1211,f24(a30,a29))
% 1.07/1.14 [122]P1(x1221)+~P2(x1221,f24(a31,a29))
% 1.07/1.14 [137]P6(x1371,a30)+~P2(x1371,f24(a30,a29))
% 1.07/1.14 [138]P6(x1381,a31)+~P2(x1381,f24(a31,a29))
% 1.07/1.14 [161]~P2(x1611,f24(a30,a29))+P2(x1611,f24(a31,a29))
% 1.07/1.14 [89]~P2(x891,a25)+E(f2(f20(x891)),x891)
% 1.07/1.14 [83]~P2(x832,x831)+~E(x831,a23)
% 1.07/1.14 [79]~P1(x791)+~P5(x791)+~E(x791,a23)
% 1.07/1.14 [81]~P4(x811)+~P5(x811)+~P1(x811)
% 1.07/1.14 [77]~P1(x771)+~E(x771,a23)+E(f2(x771),a19)
% 1.07/1.14 [78]~P1(x781)+E(x781,a23)+~E(f2(x781),a19)
% 1.07/1.14 [87]~P1(x871)+P2(f10(x871),x871)+E(x871,a23)
% 1.07/1.14 [94]~P1(x941)+~P4(x941)+P2(f2(x941),a25)
% 1.07/1.14 [101]~P2(x1011,a25)+E(x1011,a19)+P2(f11(x1011),a25)
% 1.07/1.14 [102]~P1(x1021)+P4(x1021)+~P2(f2(x1021),a25)
% 1.07/1.14 [107]~P4(x1071)+~P6(x1071,a25)+P2(f5(x1071),a25)
% 1.07/1.14 [125]~P6(x1251,a30)+P2(x1251,f24(a30,a29))+~E(f2(x1251),a29)
% 1.07/1.14 [126]~P6(x1261,a31)+P2(x1261,f24(a31,a29))+~E(f2(x1261),a29)
% 1.07/1.14 [92]~P2(x921,a25)+E(x921,a19)+E(f26(f11(x921)),x921)
% 1.07/1.14 [123]~P4(x1231)+~P6(x1231,a25)+P6(x1231,f20(f5(x1231)))
% 1.07/1.14 [95]~P6(x951,x952)+P1(x951)+~P1(x952)
% 1.07/1.14 [96]~P2(x961,x962)+P3(x961)+~P1(x962)
% 1.07/1.14 [93]P1(x931)+~P2(x932,a25)+~E(x931,f20(x932))
% 1.07/1.14 [165]~P2(x1651,x1652)+P2(x1651,a30)+~P2(x1652,f24(a30,a29))
% 1.07/1.14 [166]~P2(x1661,x1662)+P2(x1661,a31)+~P2(x1662,f24(a31,a29))
% 1.07/1.14 [146]~P1(x1461)+~P2(x1462,x1461)+E(f21(f22(x1461,x1462),x1462),x1461)
% 1.07/1.14 [142]~P1(x1421)+P2(f6(x1421),x1421)+P2(x1421,f24(a30,a29))+~E(f2(x1421),a29)
% 1.07/1.14 [143]~P1(x1431)+P2(f8(x1431),x1431)+P2(x1431,f24(a31,a29))+~E(f2(x1431),a29)
% 1.07/1.14 [144]~P1(x1441)+P2(f9(x1441),x1441)+P2(x1441,f24(a30,a29))+~E(f2(x1441),a29)
% 1.07/1.15 [154]~P1(x1541)+P2(x1541,f24(a30,a29))+~E(f2(x1541),a29)+~P2(f6(x1541),a30)
% 1.07/1.15 [155]~P1(x1551)+P2(x1551,f24(a30,a29))+~E(f2(x1551),a29)+~P2(f9(x1551),a30)
% 1.07/1.15 [156]~P1(x1561)+P2(x1561,f24(a31,a29))+~E(f2(x1561),a29)+~P2(f8(x1561),a31)
% 1.07/1.15 [103]~P4(x1032)+~P6(x1031,x1032)+P4(x1031)+~P1(x1032)
% 1.07/1.15 [106]P2(x1062,x1061)+~E(x1062,f27(x1061))+~P6(x1061,a25)+E(x1061,a23)
% 1.07/1.15 [110]~P1(x1101)+~P3(x1102)+~P4(x1101)+P4(f21(x1101,x1102))
% 1.07/1.15 [111]~P1(x1111)+~P3(x1112)+~P4(x1111)+P4(f22(x1111,x1112))
% 1.07/1.15 [112]~P1(x1121)+~P3(x1122)+~P5(x1121)+P5(f21(x1121,x1122))
% 1.07/1.15 [113]~P1(x1131)+~P3(x1132)+~P5(x1131)+P5(f22(x1131,x1132))
% 1.07/1.15 [114]~P1(x1141)+P4(x1141)+~P2(x1142,a25)+~E(f24(x1141,x1142),a23)
% 1.07/1.15 [116]E(x1161,x1162)+~E(f26(x1161),f26(x1162))+~P2(x1162,a25)+~P2(x1161,a25)
% 1.07/1.15 [129]~P1(x1292)+~P4(x1292)+~P6(x1291,x1292)+P8(f2(x1291),f2(x1292))
% 1.07/1.15 [132]~P1(x1321)+~P4(x1321)+~P2(x1322,a25)+P4(f24(x1321,x1322))
% 1.07/1.15 [141]~P1(x1411)+~P1(x1412)+P6(x1411,x1412)+P2(f12(x1412,x1411),x1411)
% 1.07/1.15 [150]P8(x1501,x1502)+P8(f26(x1502),x1501)+~P2(x1502,a25)+~P2(x1501,a25)
% 1.07/1.15 [167]~P8(x1671,x1672)+~P2(x1672,a25)+~P2(x1671,a25)+P6(f20(x1671),f20(x1672))
% 1.07/1.15 [168]~P8(x1681,x1682)+~P2(x1682,a25)+~P2(x1681,a25)+P8(f26(x1681),f26(x1682))
% 1.07/1.15 [170]~P1(x1701)+~P1(x1702)+P6(x1701,x1702)+~P2(f12(x1702,x1701),x1702)
% 1.07/1.15 [172]P8(x1721,x1722)+~P2(x1722,a25)+~P2(x1721,a25)+~P6(f20(x1721),f20(x1722))
% 1.07/1.15 [173]P8(x1731,x1732)+~P2(x1732,a25)+~P2(x1731,a25)+~P8(f26(x1731),f26(x1732))
% 1.07/1.15 [145]P2(x1452,x1451)+~P1(x1451)+~P3(x1452)+E(f22(f21(x1451,x1452),x1452),x1451)
% 1.07/1.15 [152]~E(x1521,x1522)+~P2(x1522,a25)+~P2(x1521,a25)+P2(x1521,f20(f26(x1522)))
% 1.07/1.15 [178]~P2(x1782,a25)+~P2(x1781,a25)+~P2(x1781,f20(x1782))+P2(x1781,f20(f26(x1782)))
% 1.07/1.15 [177]~P1(x1771)+~P4(x1771)+~P2(x1772,x1771)+E(f26(f2(f22(x1771,x1772))),f2(x1771))
% 1.07/1.15 [139]~P1(x1392)+~P6(x1393,x1392)+P2(x1391,x1392)+~P2(x1391,x1393)
% 1.07/1.15 [104]~P1(x1042)+~P3(x1043)+P1(x1041)+~E(x1041,f21(x1042,x1043))
% 1.07/1.15 [105]~P1(x1052)+~P3(x1053)+P1(x1051)+~E(x1051,f22(x1052,x1053))
% 1.07/1.15 [115]~P1(x1152)+P1(x1151)+~P2(x1153,a25)+~E(x1151,f24(x1152,x1153))
% 1.07/1.15 [130]~P2(x1301,x1302)+~P2(x1303,a25)+P2(x1301,a25)+~E(x1302,f20(x1303))
% 1.07/1.15 [147]~P2(x1471,x1473)+~P2(x1472,a25)+P8(f26(x1471),x1472)+~E(x1473,f20(x1472))
% 1.07/1.15 [127]~P1(x1272)+~P1(x1271)+~P6(x1272,x1271)+~P6(x1271,x1272)+E(x1271,x1272)
% 1.07/1.15 [162]~P8(x1622,x1621)+~P8(x1621,x1622)+E(x1621,x1622)+~P2(x1622,a25)+~P2(x1621,a25)
% 1.07/1.15 [109]~P4(x1091)+P2(x1092,x1091)+~E(x1092,f28(x1091))+~P6(x1091,a25)+E(x1091,a23)
% 1.07/1.15 [135]~P1(x1352)+~P5(x1352)+~P2(x1351,a25)+E(x1351,a19)+P5(f24(x1352,x1351))
% 1.07/1.15 [169]~P2(x1692,x1691)+P2(f15(x1691,x1692),x1691)+~P6(x1691,a25)+E(x1691,a23)+E(x1692,f27(x1691))
% 1.07/1.15 [179]~P1(x1791)+~P4(x1791)+~P2(x1792,a25)+~P8(x1792,f2(x1791))+P6(f16(x1791,x1792),x1791)
% 1.07/1.15 [180]~P1(x1801)+P2(f18(x1802,x1801),x1801)+~P2(x1802,a25)+E(x1801,f20(x1802))+P2(f18(x1802,x1801),a25)
% 1.07/1.15 [181]~P2(x1812,x1811)+~P6(x1811,a25)+~P8(x1812,f15(x1811,x1812))+E(x1811,a23)+E(x1812,f27(x1811))
% 1.07/1.15 [151]P2(x1512,x1511)+~P1(x1511)+~P3(x1512)+~P4(x1511)+E(f2(f21(x1511,x1512)),f26(f2(x1511)))
% 1.07/1.15 [176]~P1(x1761)+~P4(x1761)+~P2(x1762,a25)+~P8(x1762,f2(x1761))+E(f2(f16(x1761,x1762)),x1762)
% 1.07/1.15 [182]E(x1821,x1822)+P2(x1821,f20(x1822))+~P2(x1822,a25)+~P2(x1821,a25)+~P2(x1821,f20(f26(x1822)))
% 1.07/1.15 [186]~P1(x1861)+P2(f18(x1862,x1861),x1861)+~P2(x1862,a25)+E(x1861,f20(x1862))+P8(f26(f18(x1862,x1861)),x1862)
% 1.07/1.15 [140]~P2(x1403,x1401)+P8(x1402,x1403)+~E(x1402,f27(x1401))+~P6(x1401,a25)+E(x1401,a23)
% 1.07/1.15 [171]P2(x1711,x1712)+~P2(x1713,a25)+~P2(x1711,a25)+~P8(f26(x1711),x1713)+~E(x1712,f20(x1713))
% 1.07/1.15 [131]~P1(x1314)+~P3(x1312)+~P2(x1311,x1313)+~E(x1311,x1312)+~E(x1313,f22(x1314,x1312))
% 1.07/1.15 [133]~P1(x1333)+~P3(x1334)+~P2(x1331,x1332)+P3(x1331)+~E(x1332,f21(x1333,x1334))
% 1.07/1.15 [134]~P1(x1343)+~P3(x1344)+~P2(x1341,x1342)+P3(x1341)+~E(x1342,f22(x1343,x1344))
% 1.07/1.15 [149]~P1(x1492)+~P3(x1494)+~P2(x1491,x1493)+P2(x1491,x1492)+~E(x1493,f22(x1492,x1494))
% 1.07/1.15 [157]~P1(x1574)+~P2(x1571,x1573)+~P2(x1572,a25)+E(f2(x1571),x1572)+~E(x1573,f24(x1574,x1572))
% 1.07/1.15 [163]~P1(x1632)+~P2(x1631,x1633)+P6(x1631,x1632)+~P2(x1634,a25)+~E(x1633,f24(x1632,x1634))
% 1.07/1.15 [175]~P4(x1751)+~P2(x1752,x1751)+P2(f17(x1751,x1752),x1751)+~P6(x1751,a25)+E(x1751,a23)+E(x1752,f28(x1751))
% 1.07/1.15 [184]~P4(x1841)+~P2(x1842,x1841)+~P6(x1841,a25)+~P8(f17(x1841,x1842),x1842)+E(x1841,a23)+E(x1842,f28(x1841))
% 1.07/1.15 [190]~P1(x1901)+~P2(x1902,a25)+~P2(f18(x1902,x1901),x1901)+E(x1901,f20(x1902))+~P2(f18(x1902,x1901),a25)+~P8(f26(f18(x1902,x1901)),x1902)
% 1.07/1.15 [158]~P1(x1582)+~P1(x1581)+~P6(x1583,x1582)+~P6(x1581,x1583)+P6(x1581,x1582)+~P1(x1583)
% 1.07/1.15 [185]~P8(x1851,x1853)+P8(x1851,x1852)+~P8(x1853,x1852)+~P2(x1852,a25)+~P2(x1853,a25)+~P2(x1851,a25)
% 1.07/1.15 [148]~P4(x1481)+~P2(x1482,x1481)+P8(x1482,x1483)+~E(x1483,f28(x1481))+~P6(x1481,a25)+E(x1481,a23)
% 1.07/1.15 [187]~P1(x1871)+~P1(x1872)+~P3(x1873)+P2(f13(x1872,x1873,x1871),x1871)+~E(f13(x1872,x1873,x1871),x1873)+E(x1871,f22(x1872,x1873))
% 1.07/1.15 [188]~P1(x1881)+~P1(x1882)+~P3(x1883)+P2(f14(x1882,x1883,x1881),x1881)+E(x1881,f21(x1882,x1883))+P3(f14(x1882,x1883,x1881))
% 1.07/1.15 [189]~P1(x1891)+~P1(x1892)+~P3(x1893)+P2(f13(x1892,x1893,x1891),x1891)+E(x1891,f22(x1892,x1893))+P3(f13(x1892,x1893,x1891))
% 1.07/1.15 [191]~P1(x1911)+~P1(x1912)+~P3(x1913)+P2(f13(x1912,x1913,x1911),x1911)+P2(f13(x1912,x1913,x1911),x1912)+E(x1911,f22(x1912,x1913))
% 1.07/1.15 [193]~P1(x1931)+~P1(x1932)+P2(f7(x1932,x1933,x1931),x1931)+P6(f7(x1932,x1933,x1931),x1932)+~P2(x1933,a25)+E(x1931,f24(x1932,x1933))
% 1.07/1.15 [192]~P1(x1921)+~P1(x1922)+P2(f7(x1922,x1923,x1921),x1921)+~P2(x1923,a25)+E(x1921,f24(x1922,x1923))+E(f2(f7(x1922,x1923,x1921)),x1923)
% 1.07/1.15 [128]~P1(x1284)+~P3(x1283)+~P3(x1281)+P2(x1281,x1282)+~E(x1281,x1283)+~E(x1282,f21(x1284,x1283))
% 1.07/1.15 [153]~P1(x1533)+~P3(x1532)+~P2(x1531,x1534)+E(x1531,x1532)+P2(x1531,x1533)+~E(x1534,f21(x1533,x1532))
% 1.07/1.15 [159]~P1(x1593)+~P3(x1594)+~P3(x1591)+~P2(x1591,x1593)+P2(x1591,x1592)+~E(x1592,f21(x1593,x1594))
% 1.07/1.15 [174]~P1(x1744)+~P6(x1741,x1744)+P2(x1741,x1742)+~P2(x1743,a25)+~E(x1742,f24(x1744,x1743))+~E(f2(x1741),x1743)
% 1.07/1.15 [183]E(f27(x1832),f27(x1831))+~P6(x1831,a25)+~P6(x1832,a25)+~P2(f27(x1831),x1832)+~P2(f27(x1832),x1831)+E(x1831,a23)+E(x1832,a23)
% 1.07/1.15 [194]~P1(x1941)+~P1(x1942)+~P3(x1943)+E(f14(x1942,x1943,x1941),x1943)+P2(f14(x1942,x1943,x1941),x1941)+P2(f14(x1942,x1943,x1941),x1942)+E(x1941,f21(x1942,x1943))
% 1.07/1.15 [195]~P1(x1951)+~P1(x1952)+~P3(x1953)+~E(f14(x1952,x1953,x1951),x1953)+~P2(f14(x1952,x1953,x1951),x1951)+E(x1951,f21(x1952,x1953))+~P3(f14(x1952,x1953,x1951))
% 1.07/1.15 [196]~P1(x1961)+~P1(x1962)+~P3(x1963)+~P2(f14(x1962,x1963,x1961),x1961)+~P2(f14(x1962,x1963,x1961),x1962)+E(x1961,f21(x1962,x1963))+~P3(f14(x1962,x1963,x1961))
% 1.07/1.15 [197]~P1(x1971)+~P1(x1972)+~P2(x1973,a25)+~P2(f7(x1972,x1973,x1971),x1971)+~P6(f7(x1972,x1973,x1971),x1972)+E(x1971,f24(x1972,x1973))+~E(f2(f7(x1972,x1973,x1971)),x1973)
% 1.07/1.15 [160]~P1(x1604)+~P3(x1602)+~P3(x1601)+~P2(x1601,x1604)+E(x1601,x1602)+P2(x1601,x1603)+~E(x1603,f22(x1604,x1602))
% 1.07/1.15 [198]~P1(x1981)+~P1(x1982)+~P3(x1983)+E(f13(x1982,x1983,x1981),x1983)+~P2(f13(x1982,x1983,x1981),x1981)+~P2(f13(x1982,x1983,x1981),x1982)+E(x1981,f22(x1982,x1983))+~P3(f13(x1982,x1983,x1981))
% 1.07/1.15 %EqnAxiom
% 1.07/1.15 [1]E(x11,x11)
% 1.07/1.15 [2]E(x22,x21)+~E(x21,x22)
% 1.07/1.15 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.07/1.15 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 1.07/1.15 [5]~E(x51,x52)+E(f13(x51,x53,x54),f13(x52,x53,x54))
% 1.07/1.15 [6]~E(x61,x62)+E(f13(x63,x61,x64),f13(x63,x62,x64))
% 1.07/1.15 [7]~E(x71,x72)+E(f13(x73,x74,x71),f13(x73,x74,x72))
% 1.07/1.15 [8]~E(x81,x82)+E(f20(x81),f20(x82))
% 1.07/1.15 [9]~E(x91,x92)+E(f24(x91,x93),f24(x92,x93))
% 1.07/1.15 [10]~E(x101,x102)+E(f24(x103,x101),f24(x103,x102))
% 1.07/1.15 [11]~E(x111,x112)+E(f27(x111),f27(x112))
% 1.07/1.15 [12]~E(x121,x122)+E(f18(x121,x123),f18(x122,x123))
% 1.07/1.15 [13]~E(x131,x132)+E(f18(x133,x131),f18(x133,x132))
% 1.07/1.15 [14]~E(x141,x142)+E(f9(x141),f9(x142))
% 1.07/1.15 [15]~E(x151,x152)+E(f15(x151,x153),f15(x152,x153))
% 1.07/1.15 [16]~E(x161,x162)+E(f15(x163,x161),f15(x163,x162))
% 1.07/1.15 [17]~E(x171,x172)+E(f22(x171,x173),f22(x172,x173))
% 1.07/1.15 [18]~E(x181,x182)+E(f22(x183,x181),f22(x183,x182))
% 1.07/1.15 [19]~E(x191,x192)+E(f16(x191,x193),f16(x192,x193))
% 1.07/1.15 [20]~E(x201,x202)+E(f16(x203,x201),f16(x203,x202))
% 1.07/1.15 [21]~E(x211,x212)+E(f26(x211),f26(x212))
% 1.07/1.15 [22]~E(x221,x222)+E(f7(x221,x223,x224),f7(x222,x223,x224))
% 1.07/1.15 [23]~E(x231,x232)+E(f7(x233,x231,x234),f7(x233,x232,x234))
% 1.07/1.15 [24]~E(x241,x242)+E(f7(x243,x244,x241),f7(x243,x244,x242))
% 1.07/1.15 [25]~E(x251,x252)+E(f14(x251,x253,x254),f14(x252,x253,x254))
% 1.07/1.15 [26]~E(x261,x262)+E(f14(x263,x261,x264),f14(x263,x262,x264))
% 1.07/1.15 [27]~E(x271,x272)+E(f14(x273,x274,x271),f14(x273,x274,x272))
% 1.07/1.15 [28]~E(x281,x282)+E(f21(x281,x283),f21(x282,x283))
% 1.07/1.15 [29]~E(x291,x292)+E(f21(x293,x291),f21(x293,x292))
% 1.07/1.15 [30]~E(x301,x302)+E(f28(x301),f28(x302))
% 1.07/1.15 [31]~E(x311,x312)+E(f10(x311),f10(x312))
% 1.07/1.15 [32]~E(x321,x322)+E(f17(x321,x323),f17(x322,x323))
% 1.07/1.15 [33]~E(x331,x332)+E(f17(x333,x331),f17(x333,x332))
% 1.07/1.15 [34]~E(x341,x342)+E(f6(x341),f6(x342))
% 1.07/1.15 [35]~E(x351,x352)+E(f12(x351,x353),f12(x352,x353))
% 1.07/1.15 [36]~E(x361,x362)+E(f12(x363,x361),f12(x363,x362))
% 1.07/1.15 [37]~E(x371,x372)+E(f11(x371),f11(x372))
% 1.07/1.15 [38]~E(x381,x382)+E(f8(x381),f8(x382))
% 1.07/1.15 [39]~E(x391,x392)+E(f5(x391),f5(x392))
% 1.07/1.15 [40]~P1(x401)+P1(x402)+~E(x401,x402)
% 1.07/1.15 [41]P2(x412,x413)+~E(x411,x412)+~P2(x411,x413)
% 1.07/1.15 [42]P2(x423,x422)+~E(x421,x422)+~P2(x423,x421)
% 1.07/1.15 [43]~P4(x431)+P4(x432)+~E(x431,x432)
% 1.07/1.15 [44]~P3(x441)+P3(x442)+~E(x441,x442)
% 1.07/1.15 [45]~P5(x451)+P5(x452)+~E(x451,x452)
% 1.07/1.15 [46]P6(x462,x463)+~E(x461,x462)+~P6(x461,x463)
% 1.07/1.15 [47]P6(x473,x472)+~E(x471,x472)+~P6(x473,x471)
% 1.07/1.15 [48]P8(x482,x483)+~E(x481,x482)+~P8(x481,x483)
% 1.07/1.15 [49]P8(x493,x492)+~E(x491,x492)+~P8(x493,x491)
% 1.07/1.15 [50]P7(x502,x503)+~E(x501,x502)+~P7(x501,x503)
% 1.07/1.15 [51]P7(x513,x512)+~E(x511,x512)+~P7(x513,x511)
% 1.07/1.15
% 1.07/1.15 %-------------------------------------------
% 1.07/1.15 cnf(199,plain,
% 1.07/1.15 (E(a29,f2(a1))),
% 1.07/1.15 inference(scs_inference,[],[53,2])).
% 1.07/1.15 cnf(202,plain,
% 1.07/1.15 (~P3(a3)),
% 1.07/1.15 inference(scs_inference,[],[53,63,66,2,97,85])).
% 1.07/1.15 cnf(204,plain,
% 1.07/1.15 (~P2(x2041,f20(a19))),
% 1.07/1.15 inference(scs_inference,[],[53,63,66,54,2,97,85,83])).
% 1.07/1.15 cnf(206,plain,
% 1.07/1.15 (P1(f20(a19))),
% 1.07/1.15 inference(scs_inference,[],[53,63,66,54,2,97,85,83,76])).
% 1.07/1.15 cnf(212,plain,
% 1.07/1.15 (~E(a25,f20(a19))),
% 1.07/1.15 inference(scs_inference,[],[53,63,66,71,54,2,97,85,83,76,137,121,42])).
% 1.07/1.15 cnf(213,plain,
% 1.07/1.15 (P2(f2(a1),a25)),
% 1.07/1.15 inference(scs_inference,[],[53,63,64,66,71,54,2,97,85,83,76,137,121,42,41])).
% 1.07/1.15 cnf(214,plain,
% 1.07/1.15 (P1(a23)),
% 1.07/1.15 inference(scs_inference,[],[53,63,64,66,71,54,2,97,85,83,76,137,121,42,41,40])).
% 1.07/1.15 cnf(215,plain,
% 1.07/1.15 (~E(a19,f2(a1))),
% 1.07/1.15 inference(scs_inference,[],[53,63,64,66,73,71,54,2,97,85,83,76,137,121,42,41,40,3])).
% 1.07/1.15 cnf(216,plain,
% 1.07/1.15 (~P2(a3,a25)),
% 1.07/1.15 inference(scs_inference,[],[53,55,63,64,66,73,71,54,2,97,85,83,76,137,121,42,41,40,3,96])).
% 1.07/1.15 cnf(218,plain,
% 1.07/1.15 (~P4(a25)),
% 1.07/1.15 inference(scs_inference,[],[53,55,62,63,64,66,73,71,54,2,97,85,83,76,137,121,42,41,40,3,96,81])).
% 1.07/1.15 cnf(220,plain,
% 1.07/1.15 (~P5(f20(a19))),
% 1.07/1.15 inference(scs_inference,[],[53,55,62,63,64,66,73,71,54,2,97,85,83,76,137,121,42,41,40,3,96,81,79])).
% 1.07/1.15 cnf(224,plain,
% 1.07/1.15 (~P6(a1,a25)),
% 1.07/1.15 inference(scs_inference,[],[53,55,62,63,64,66,73,71,70,54,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139])).
% 1.07/1.15 cnf(228,plain,
% 1.07/1.15 (P8(f26(a19),f26(a19))),
% 1.07/1.15 inference(scs_inference,[],[53,55,62,63,64,66,73,71,70,54,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139,130,168])).
% 1.07/1.15 cnf(230,plain,
% 1.07/1.15 (P6(f20(a19),f20(a19))),
% 1.07/1.15 inference(scs_inference,[],[53,55,62,63,64,66,73,71,70,54,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139,130,168,167])).
% 1.07/1.15 cnf(234,plain,
% 1.07/1.15 (P8(a19,a29)),
% 1.07/1.15 inference(scs_inference,[],[53,55,56,59,62,63,64,66,67,73,71,70,54,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139,130,168,167,158,91])).
% 1.07/1.15 cnf(236,plain,
% 1.07/1.15 (P6(a25,a25)),
% 1.07/1.15 inference(scs_inference,[],[53,55,56,59,62,63,64,66,67,73,71,70,54,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139,130,168,167,158,91,82])).
% 1.07/1.15 cnf(238,plain,
% 1.07/1.15 (P2(a4,f24(a31,a29))),
% 1.07/1.15 inference(scs_inference,[],[53,55,56,59,62,63,64,66,67,73,71,70,54,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139,130,168,167,158,91,82,161])).
% 1.07/1.15 cnf(240,plain,
% 1.07/1.15 (~P8(f26(a19),a19)),
% 1.07/1.15 inference(scs_inference,[],[53,55,56,59,62,63,64,66,67,73,71,70,54,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139,130,168,167,158,91,82,161,108])).
% 1.07/1.15 cnf(246,plain,
% 1.07/1.15 (P2(f26(a19),a25)),
% 1.07/1.15 inference(scs_inference,[],[53,55,56,59,62,63,64,66,67,73,71,70,54,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139,130,168,167,158,91,82,161,108,100,99,98])).
% 1.07/1.15 cnf(248,plain,
% 1.07/1.15 (E(f2(f20(a19)),a19)),
% 1.07/1.15 inference(scs_inference,[],[53,55,56,59,62,63,64,66,67,73,71,70,54,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139,130,168,167,158,91,82,161,108,100,99,98,89])).
% 1.07/1.15 cnf(250,plain,
% 1.07/1.15 (P4(f20(a19))),
% 1.07/1.15 inference(scs_inference,[],[53,55,56,59,62,63,64,66,67,73,71,70,54,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139,130,168,167,158,91,82,161,108,100,99,98,89,88])).
% 1.07/1.15 cnf(252,plain,
% 1.07/1.15 (~E(f26(a19),a19)),
% 1.07/1.15 inference(scs_inference,[],[53,55,56,59,62,63,64,66,67,73,71,70,54,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139,130,168,167,158,91,82,161,108,100,99,98,89,88,86])).
% 1.07/1.15 cnf(256,plain,
% 1.07/1.15 (P3(f2(a25))),
% 1.07/1.15 inference(scs_inference,[],[53,55,56,59,62,63,64,66,67,73,71,70,54,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139,130,168,167,158,91,82,161,108,100,99,98,89,88,86,84,80])).
% 1.07/1.15 cnf(258,plain,
% 1.07/1.15 (E(f2(a4),a29)),
% 1.07/1.15 inference(scs_inference,[],[53,55,56,59,62,63,64,66,67,73,71,70,54,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139,130,168,167,158,91,82,161,108,100,99,98,89,88,86,84,80,119])).
% 1.07/1.15 cnf(289,plain,
% 1.07/1.15 (E(f24(x2891,f2(a1)),f24(x2891,a29))),
% 1.07/1.15 inference(scs_inference,[],[53,55,56,59,62,63,64,66,67,73,71,70,54,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139,130,168,167,158,91,82,161,108,100,99,98,89,88,86,84,80,119,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10])).
% 1.07/1.15 cnf(291,plain,
% 1.07/1.15 (E(f20(f2(a1)),f20(a29))),
% 1.07/1.15 inference(scs_inference,[],[53,55,56,59,62,63,64,66,67,73,71,70,54,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139,130,168,167,158,91,82,161,108,100,99,98,89,88,86,84,80,119,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8])).
% 1.07/1.15 cnf(296,plain,
% 1.07/1.15 (~P8(f26(a19),f2(f20(a19)))),
% 1.07/1.15 inference(scs_inference,[],[53,55,56,59,62,63,64,66,67,73,71,70,54,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139,130,168,167,158,91,82,161,108,100,99,98,89,88,86,84,80,119,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,49])).
% 1.07/1.15 cnf(304,plain,
% 1.07/1.15 (P1(f20(f2(a1)))),
% 1.07/1.15 inference(scs_inference,[],[53,55,56,57,59,60,62,63,64,66,67,73,71,70,54,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139,130,168,167,158,91,82,161,108,100,99,98,89,88,86,84,80,119,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,49,48,47,46,44,43,95,93])).
% 1.07/1.15 cnf(306,plain,
% 1.07/1.15 (~P2(f2(a25),a25)),
% 1.07/1.15 inference(scs_inference,[],[53,55,56,57,59,60,62,63,64,66,67,73,71,70,54,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139,130,168,167,158,91,82,161,108,100,99,98,89,88,86,84,80,119,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,49,48,47,46,44,43,95,93,102])).
% 1.07/1.15 cnf(308,plain,
% 1.07/1.15 (P2(f11(f26(a19)),a25)),
% 1.07/1.15 inference(scs_inference,[],[53,55,56,57,59,60,62,63,64,66,67,73,71,70,54,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139,130,168,167,158,91,82,161,108,100,99,98,89,88,86,84,80,119,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,49,48,47,46,44,43,95,93,102,101])).
% 1.07/1.15 cnf(310,plain,
% 1.07/1.15 (P2(f2(a23),a25)),
% 1.07/1.15 inference(scs_inference,[],[53,55,56,57,59,60,62,63,64,66,67,73,71,70,54,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139,130,168,167,158,91,82,161,108,100,99,98,89,88,86,84,80,119,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,49,48,47,46,44,43,95,93,102,101,94])).
% 1.07/1.15 cnf(312,plain,
% 1.07/1.15 (E(f26(f11(f26(a19))),f26(a19))),
% 1.07/1.15 inference(scs_inference,[],[53,55,56,57,59,60,62,63,64,66,67,73,71,70,54,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139,130,168,167,158,91,82,161,108,100,99,98,89,88,86,84,80,119,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,49,48,47,46,44,43,95,93,102,101,94,92])).
% 1.07/1.15 cnf(314,plain,
% 1.07/1.15 (P2(f10(f24(a30,a29)),f24(a30,a29))),
% 1.07/1.15 inference(scs_inference,[],[53,55,56,57,59,60,62,63,64,66,67,73,75,71,70,54,68,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139,130,168,167,158,91,82,161,108,100,99,98,89,88,86,84,80,119,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,49,48,47,46,44,43,95,93,102,101,94,92,87])).
% 1.07/1.15 cnf(318,plain,
% 1.07/1.15 (E(f21(f22(a25,a19),a19),a25)),
% 1.07/1.15 inference(scs_inference,[],[53,55,56,57,59,60,62,63,64,66,67,73,75,71,70,54,68,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139,130,168,167,158,91,82,161,108,100,99,98,89,88,86,84,80,119,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,49,48,47,46,44,43,95,93,102,101,94,92,87,78,146])).
% 1.07/1.15 cnf(320,plain,
% 1.07/1.15 (~P6(a25,a1)),
% 1.07/1.15 inference(scs_inference,[],[53,55,56,57,59,60,61,62,63,64,66,67,73,75,71,70,54,68,2,97,85,83,76,137,121,42,41,40,3,96,81,79,165,139,130,168,167,158,91,82,161,108,100,99,98,89,88,86,84,80,119,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,49,48,47,46,44,43,95,93,102,101,94,92,87,78,146,103])).
% 1.07/1.15 cnf(392,plain,
% 1.07/1.15 (~P8(a29,a19)),
% 1.07/1.15 inference(scs_inference,[],[73,64,63,234,116,162])).
% 1.07/1.15 cnf(398,plain,
% 1.07/1.15 (P3(a4)),
% 1.07/1.15 inference(scs_inference,[],[65,69,73,64,63,314,238,234,116,162,118,83,96])).
% 1.07/1.15 cnf(400,plain,
% 1.07/1.15 (P2(f2(f20(a19)),a25)),
% 1.07/1.15 inference(scs_inference,[],[65,69,73,64,63,314,238,206,250,234,116,162,118,83,96,94])).
% 1.07/1.15 cnf(406,plain,
% 1.07/1.15 (~P6(a25,a23)),
% 1.07/1.15 inference(scs_inference,[],[65,69,56,73,60,64,63,314,238,206,250,214,218,234,116,162,118,83,96,94,87,78,103])).
% 1.07/1.15 cnf(408,plain,
% 1.07/1.15 (~P2(f2(a25),f20(f2(a1)))),
% 1.07/1.15 inference(scs_inference,[],[65,69,56,73,60,64,63,314,238,291,206,250,306,214,218,234,116,162,118,83,96,94,87,78,103,130])).
% 1.07/1.15 cnf(416,plain,
% 1.07/1.15 (P8(f26(f26(a19)),f26(f26(a19)))),
% 1.07/1.15 inference(scs_inference,[],[65,69,56,73,61,62,59,60,64,55,63,314,228,238,291,206,250,256,246,306,214,218,234,116,162,118,83,96,94,87,78,103,130,132,112,111,168])).
% 1.07/1.15 cnf(418,plain,
% 1.07/1.15 (E(f22(f21(f20(a19),f2(a25)),f2(a25)),f20(a19))),
% 1.07/1.15 inference(scs_inference,[],[65,69,56,73,61,62,59,60,64,55,63,314,204,228,238,291,206,250,256,246,306,214,218,234,116,162,118,83,96,94,87,78,103,130,132,112,111,168,145])).
% 1.07/1.15 cnf(419,plain,
% 1.07/1.15 (~P2(x4191,f20(a19))),
% 1.07/1.15 inference(rename_variables,[],[204])).
% 1.07/1.15 cnf(421,plain,
% 1.07/1.15 (P2(f18(a19,a25),a25)),
% 1.07/1.15 inference(scs_inference,[],[65,69,56,73,61,62,59,60,64,55,63,314,212,204,228,238,291,206,250,256,246,306,214,218,234,116,162,118,83,96,94,87,78,103,130,132,112,111,168,145,180])).
% 1.07/1.15 cnf(425,plain,
% 1.07/1.15 (~P8(f2(a1),a19)),
% 1.07/1.15 inference(scs_inference,[],[53,65,69,56,73,61,62,59,60,64,55,63,314,212,204,228,238,291,206,250,256,246,306,214,218,234,116,162,118,83,96,94,87,78,103,130,132,112,111,168,145,180,85,48])).
% 1.07/1.15 cnf(426,plain,
% 1.07/1.15 (P6(a23,f20(a19))),
% 1.07/1.15 inference(scs_inference,[],[53,65,69,56,73,61,62,54,59,60,64,55,63,314,212,204,228,238,291,206,230,250,256,246,306,214,218,234,116,162,118,83,96,94,87,78,103,130,132,112,111,168,145,180,85,48,46])).
% 1.07/1.15 cnf(431,plain,
% 1.07/1.15 (P2(a1,f24(a31,a29))),
% 1.07/1.15 inference(scs_inference,[],[53,65,69,72,56,73,61,70,62,54,59,60,64,55,63,314,212,204,228,238,291,206,230,250,256,246,306,214,218,234,116,162,118,83,96,94,87,78,103,130,132,112,111,168,145,180,85,48,46,81,146,139])).
% 1.07/1.15 cnf(433,plain,
% 1.07/1.15 (P2(f2(a1),f20(f26(a29)))),
% 1.07/1.15 inference(scs_inference,[],[53,65,69,72,56,73,61,70,62,54,59,60,64,55,63,314,212,204,228,238,291,206,230,250,256,213,246,306,214,218,234,116,162,118,83,96,94,87,78,103,130,132,112,111,168,145,180,85,48,46,81,146,139,152])).
% 1.07/1.15 cnf(438,plain,
% 1.07/1.15 (E(f24(x4381,f2(a1)),f24(x4381,a29))),
% 1.07/1.15 inference(rename_variables,[],[289])).
% 1.07/1.15 cnf(448,plain,
% 1.07/1.15 (P8(f2(f20(a19)),a19)),
% 1.07/1.15 inference(scs_inference,[],[53,65,69,72,56,73,61,70,62,54,59,60,64,55,63,314,212,289,204,228,238,291,296,206,230,250,256,213,246,306,214,218,234,116,162,118,83,96,94,87,78,103,130,132,112,111,168,145,180,85,48,46,81,146,139,152,150,115,147,114,113,110,173])).
% 1.07/1.15 cnf(452,plain,
% 1.07/1.15 (P8(f2(f20(a19)),f2(f20(a19)))),
% 1.07/1.15 inference(scs_inference,[],[53,65,69,72,56,73,61,70,62,54,59,60,64,55,63,314,212,289,204,228,238,291,296,206,230,250,256,213,246,306,214,218,234,116,162,118,83,96,94,87,78,103,130,132,112,111,168,145,180,85,48,46,81,146,139,152,150,115,147,114,113,110,173,167,129])).
% 1.07/1.15 cnf(458,plain,
% 1.07/1.15 (~E(a30,f22(f20(a19),f2(a25)))),
% 1.07/1.15 inference(scs_inference,[],[53,65,69,72,56,73,61,70,62,54,59,60,66,64,55,63,314,212,289,204,419,228,238,291,296,206,230,250,256,213,246,306,214,218,224,234,116,162,118,83,96,94,87,78,103,130,132,112,111,168,145,180,85,48,46,81,146,139,152,150,115,147,114,113,110,173,167,129,177,163,149])).
% 1.07/1.15 cnf(459,plain,
% 1.07/1.15 (~P2(x4591,f20(a19))),
% 1.07/1.15 inference(rename_variables,[],[204])).
% 1.07/1.15 cnf(463,plain,
% 1.07/1.15 (~E(a25,a23)),
% 1.07/1.15 inference(scs_inference,[],[53,65,69,72,56,73,61,70,62,54,59,60,66,64,55,63,314,212,289,204,419,228,238,252,291,296,206,230,250,256,213,246,306,214,218,224,234,116,162,118,83,96,94,87,78,103,130,132,112,111,168,145,180,85,48,46,81,146,139,152,150,115,147,114,113,110,173,167,129,177,163,149,135,79])).
% 1.07/1.15 cnf(465,plain,
% 1.07/1.15 (~E(a1,a23)),
% 1.07/1.15 inference(scs_inference,[],[53,65,74,69,72,56,73,61,70,62,54,59,60,66,64,55,63,314,212,289,204,419,228,238,252,291,296,206,230,250,256,213,246,306,214,218,224,234,116,162,118,83,96,94,87,78,103,130,132,112,111,168,145,180,85,48,46,81,146,139,152,150,115,147,114,113,110,173,167,129,177,163,149,135,79,2])).
% 1.07/1.15 cnf(467,plain,
% 1.07/1.15 (P6(f20(a19),a23)),
% 1.07/1.15 inference(scs_inference,[],[53,65,74,69,72,56,73,61,70,62,54,59,60,66,64,55,63,314,212,289,204,419,228,238,252,291,296,206,230,250,256,199,213,246,306,214,218,224,234,116,162,118,83,96,94,87,78,103,130,132,112,111,168,145,180,85,48,46,81,146,139,152,150,115,147,114,113,110,173,167,129,177,163,149,135,79,2,49,47])).
% 1.07/1.15 cnf(469,plain,
% 1.07/1.15 (~P2(x4691,f22(f21(f20(a19),f2(a25)),f2(a25)))),
% 1.07/1.15 inference(scs_inference,[],[53,65,74,69,72,56,73,61,70,62,54,59,60,66,64,55,63,314,212,289,204,419,459,228,238,252,291,296,206,230,250,256,318,199,213,246,306,214,218,224,234,116,162,118,83,96,94,87,78,103,130,132,112,111,168,145,180,85,48,46,81,146,139,152,150,115,147,114,113,110,173,167,129,177,163,149,135,79,2,49,47,43,42])).
% 1.07/1.15 cnf(476,plain,
% 1.07/1.15 (~P2(x4761,f20(a19))),
% 1.07/1.15 inference(rename_variables,[],[204])).
% 1.07/1.15 cnf(481,plain,
% 1.07/1.15 (~P2(x4811,f20(a19))),
% 1.07/1.15 inference(rename_variables,[],[204])).
% 1.07/1.15 cnf(483,plain,
% 1.07/1.15 (P6(f16(a1,a19),a1)),
% 1.07/1.15 inference(scs_inference,[],[53,65,74,69,72,56,73,61,70,75,62,54,59,60,66,64,55,63,314,212,289,204,419,459,476,228,304,238,252,291,296,206,230,250,256,318,199,213,240,246,306,214,218,224,234,236,116,162,118,83,96,94,87,78,103,130,132,112,111,168,145,180,85,48,46,81,146,139,152,150,115,147,114,113,110,173,167,129,177,163,149,135,79,2,49,47,43,42,41,40,3,106,144,140,182,179])).
% 1.07/1.15 cnf(485,plain,
% 1.07/1.15 (E(f2(f16(a1,a19)),a19)),
% 1.07/1.15 inference(scs_inference,[],[53,65,74,69,72,56,73,61,70,75,62,54,59,60,66,64,55,63,314,212,289,204,419,459,476,228,304,238,252,291,296,206,230,250,256,318,199,213,240,246,306,214,218,224,234,236,116,162,118,83,96,94,87,78,103,130,132,112,111,168,145,180,85,48,46,81,146,139,152,150,115,147,114,113,110,173,167,129,177,163,149,135,79,2,49,47,43,42,41,40,3,106,144,140,182,179,176])).
% 1.07/1.15 cnf(489,plain,
% 1.07/1.15 (~P8(f26(a19),f15(a25,f26(a19)))),
% 1.07/1.15 inference(scs_inference,[],[53,65,74,69,72,56,73,61,70,75,62,54,59,60,66,64,55,63,314,212,289,204,419,459,476,228,304,238,252,291,296,206,230,250,256,318,199,213,240,246,306,214,218,224,234,236,116,162,118,83,96,94,87,78,103,130,132,112,111,168,145,180,85,48,46,81,146,139,152,150,115,147,114,113,110,173,167,129,177,163,149,135,79,2,49,47,43,42,41,40,3,106,144,140,182,179,176,151,181])).
% 1.07/1.15 cnf(491,plain,
% 1.07/1.15 (P2(f15(a25,f26(a19)),a25)),
% 1.07/1.15 inference(scs_inference,[],[53,65,74,69,72,56,73,61,70,75,62,54,59,60,66,64,55,63,314,212,289,204,419,459,476,228,304,238,252,291,296,206,230,250,256,318,199,213,240,246,306,214,218,224,234,236,116,162,118,83,96,94,87,78,103,130,132,112,111,168,145,180,85,48,46,81,146,139,152,150,115,147,114,113,110,173,167,129,177,163,149,135,79,2,49,47,43,42,41,40,3,106,144,140,182,179,176,151,181,169])).
% 1.07/1.15 cnf(493,plain,
% 1.07/1.15 (~E(f20(a19),f21(f24(a30,a29),a4))),
% 1.07/1.15 inference(scs_inference,[],[53,65,74,69,72,56,73,61,70,75,68,71,62,54,59,60,66,64,55,63,314,212,289,204,419,459,476,481,228,304,238,252,291,296,206,230,250,256,318,199,213,240,246,306,214,218,224,234,236,116,162,118,83,96,94,87,78,103,130,132,112,111,168,145,180,85,48,46,81,146,139,152,150,115,147,114,113,110,173,167,129,177,163,149,135,79,2,49,47,43,42,41,40,3,106,144,140,182,179,176,151,181,169,159])).
% 1.07/1.15 cnf(498,plain,
% 1.07/1.15 (~P8(f26(f18(a19,a25)),a19)),
% 1.07/1.15 inference(scs_inference,[],[53,65,74,69,72,56,73,61,70,75,68,67,71,62,54,59,60,66,64,55,63,314,212,289,438,204,419,459,476,481,228,304,238,252,291,296,206,230,250,256,318,199,213,240,246,306,214,218,224,234,236,116,162,118,83,96,94,87,78,103,130,132,112,111,168,145,180,85,48,46,81,146,139,152,150,115,147,114,113,110,173,167,129,177,163,149,135,79,2,49,47,43,42,41,40,3,106,144,140,182,179,176,151,181,169,159,174,190])).
% 1.07/1.15 cnf(520,plain,
% 1.07/1.15 (~P2(x5201,f20(a19))),
% 1.07/1.15 inference(rename_variables,[],[204])).
% 1.07/1.15 cnf(529,plain,
% 1.07/1.15 (~P2(x5291,f22(f21(f20(a19),f2(a25)),f2(a25)))),
% 1.07/1.15 inference(rename_variables,[],[469])).
% 1.07/1.15 cnf(533,plain,
% 1.07/1.15 (P1(f16(a1,a19))),
% 1.07/1.15 inference(scs_inference,[],[57,71,68,66,59,64,63,469,431,448,215,493,400,483,202,398,204,213,234,206,188,185,166,133,159,116,95])).
% 1.07/1.15 cnf(542,plain,
% 1.07/1.15 (~P2(x5421,f22(f21(f20(a19),f2(a25)),f2(a25)))),
% 1.07/1.15 inference(rename_variables,[],[469])).
% 1.07/1.15 cnf(551,plain,
% 1.07/1.15 (P6(f20(a19),a31)),
% 1.07/1.15 inference(scs_inference,[],[57,67,71,68,56,60,66,59,64,63,469,529,542,431,452,448,418,215,493,463,400,426,467,483,202,398,216,204,520,214,213,250,234,236,206,53,188,185,166,133,159,116,95,132,106,134,171,179,158,174,141])).
% 1.07/1.15 cnf(552,plain,
% 1.07/1.15 (~P2(x5521,f20(a19))),
% 1.07/1.15 inference(rename_variables,[],[204])).
% 1.07/1.15 cnf(554,plain,
% 1.07/1.15 (P3(a32)),
% 1.07/1.15 inference(scs_inference,[],[57,67,65,71,68,56,60,66,59,64,63,469,529,542,431,452,448,418,215,493,463,400,426,467,483,202,398,216,204,520,214,213,250,234,236,206,53,188,185,166,133,159,116,95,132,106,134,171,179,158,174,141,96])).
% 1.07/1.15 cnf(558,plain,
% 1.07/1.15 (E(f16(a1,a19),a23)),
% 1.07/1.15 inference(scs_inference,[],[57,67,65,71,68,56,60,66,59,64,63,469,529,542,431,452,448,418,215,493,463,485,400,426,467,483,202,398,216,204,520,214,213,250,234,236,206,53,188,185,166,133,159,116,95,132,106,134,171,179,158,174,141,96,81,78])).
% 1.07/1.15 cnf(568,plain,
% 1.07/1.15 (P8(f2(a23),f2(f20(a19)))),
% 1.07/1.15 inference(scs_inference,[],[57,67,65,71,68,56,60,62,66,59,64,55,63,469,529,542,431,452,448,418,215,493,489,463,485,491,400,426,467,483,202,398,216,204,520,214,213,250,234,236,206,53,188,185,166,133,159,116,95,132,106,134,171,179,158,174,141,96,81,78,150,112,111,110,129])).
% 1.07/1.15 cnf(572,plain,
% 1.07/1.15 (P2(f10(f24(a30,a29)),f24(a31,a29))),
% 1.07/1.15 inference(scs_inference,[],[57,67,65,71,68,56,60,62,66,59,64,55,63,469,529,542,431,452,448,418,215,408,493,489,463,485,491,400,426,467,483,202,398,216,314,204,520,304,214,213,250,234,236,206,256,53,188,185,166,133,159,116,95,132,106,134,171,179,158,174,141,96,81,78,150,112,111,110,129,145,161])).
% 1.07/1.15 cnf(582,plain,
% 1.07/1.15 (~P2(x5821,a23)),
% 1.07/1.15 inference(scs_inference,[],[57,67,65,71,68,56,60,62,66,61,59,64,55,63,469,529,542,431,452,448,418,215,408,493,489,463,485,491,400,426,467,483,202,398,406,216,314,204,520,552,304,220,214,213,250,234,296,236,206,246,256,53,188,185,166,133,159,116,95,132,106,134,171,179,158,174,141,96,81,78,150,112,111,110,129,145,161,45,44,103,173,48,46,139])).
% 1.07/1.15 cnf(591,plain,
% 1.07/1.15 (~E(a23,f21(f24(a30,a29),a4))),
% 1.07/1.15 inference(scs_inference,[],[54,57,67,65,71,68,56,60,62,66,61,59,64,55,63,469,529,542,431,452,416,448,418,215,408,433,493,489,463,485,491,400,426,467,483,202,398,406,216,314,204,520,552,304,220,318,214,213,250,234,296,236,206,246,256,53,188,185,166,133,159,116,95,132,106,134,171,179,158,174,141,96,81,78,150,112,111,110,129,145,161,45,44,103,173,48,46,139,113,79,42,49,41,3])).
% 1.07/1.15 cnf(638,plain,
% 1.07/1.15 (~P2(x6381,a23)),
% 1.07/1.15 inference(rename_variables,[],[582])).
% 1.07/1.15 cnf(640,plain,
% 1.07/1.15 (~P2(x6401,f16(a1,a19))),
% 1.07/1.15 inference(scs_inference,[],[56,57,63,572,248,568,582,558,458,551,310,204,250,256,206,191,122,176,174,83])).
% 1.07/1.15 cnf(653,plain,
% 1.07/1.15 (~E(f2(a1),a19)),
% 1.07/1.15 inference(scs_inference,[],[54,68,56,57,59,64,63,572,248,312,421,308,533,498,568,465,582,558,458,551,310,204,291,202,216,250,256,206,191,122,176,174,83,116,96,130,150,141,21,78])).
% 1.07/1.15 cnf(655,plain,
% 1.07/1.15 (~P6(f24(a30,a29),a23)),
% 1.07/1.15 inference(scs_inference,[],[54,70,68,56,57,59,64,63,572,248,312,421,308,533,498,568,465,582,638,558,458,551,310,204,291,202,216,250,214,256,206,191,122,176,174,83,116,96,130,150,141,21,78,139])).
% 1.07/1.15 cnf(660,plain,
% 1.07/1.15 (~E(a29,a19)),
% 1.07/1.15 inference(scs_inference,[],[54,73,70,68,56,57,59,64,63,572,248,312,421,308,392,533,498,568,320,465,582,638,558,458,551,310,258,204,291,318,202,216,250,214,256,206,191,122,176,174,83,116,96,130,150,141,21,78,139,48,46,2])).
% 1.07/1.15 cnf(697,plain,
% 1.07/1.15 (~P2(x6971,a23)),
% 1.07/1.15 inference(rename_variables,[],[582])).
% 1.07/1.15 cnf(719,plain,
% 1.07/1.15 ($false),
% 1.07/1.15 inference(scs_inference,[],[55,72,69,60,68,66,59,64,63,640,425,655,591,653,554,660,582,697,224,463,533,431,213,204,236,202,398,214,191,188,151,182,101,140,181,169,92,163,158,96]),
% 1.07/1.15 ['proof']).
% 1.07/1.15 % SZS output end Proof
% 1.07/1.15 % Total time :0.460000s
%------------------------------------------------------------------------------