TSTP Solution File: RNG112+4 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG112+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n020.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 13:48:14 EDT 2023
% Result : Theorem 1.12s 1.25s
% Output : CNFRefutation 1.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG112+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 01:29:59 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 1.12/1.23 %-------------------------------------------
% 1.12/1.23 % File :CSE---1.6
% 1.12/1.23 % Problem :theBenchmark
% 1.12/1.23 % Transform :cnf
% 1.12/1.23 % Format :tptp:raw
% 1.12/1.23 % Command :java -jar mcs_scs.jar %d %s
% 1.12/1.23
% 1.12/1.23 % Result :Theorem 0.530000s
% 1.12/1.23 % Output :CNFRefutation 0.530000s
% 1.12/1.23 %-------------------------------------------
% 1.12/1.23 %------------------------------------------------------------------------------
% 1.12/1.23 % File : RNG112+4 : TPTP v8.1.2. Released v4.0.0.
% 1.12/1.23 % Domain : Ring Theory
% 1.12/1.23 % Problem : Chinese remainder theorem in a ring 07_04_02, 03 expansion
% 1.12/1.23 % Version : Especial.
% 1.12/1.23 % English :
% 1.12/1.23
% 1.12/1.24 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 1.12/1.24 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 1.12/1.24 % Source : [Pas08]
% 1.12/1.24 % Names : chines_07_04_02.03 [Pas08]
% 1.12/1.24
% 1.12/1.24 % Status : Theorem
% 1.12/1.24 % Rating : 0.36 v8.1.0, 0.31 v7.5.0, 0.34 v7.4.0, 0.37 v7.3.0, 0.38 v7.2.0, 0.34 v7.1.0, 0.39 v7.0.0, 0.33 v6.4.0, 0.38 v6.3.0, 0.42 v6.2.0, 0.40 v6.1.0, 0.47 v6.0.0, 0.43 v5.5.0, 0.52 v5.4.0, 0.54 v5.3.0, 0.56 v5.2.0, 0.40 v5.1.0, 0.48 v5.0.0, 0.62 v4.1.0, 0.65 v4.0.1, 0.87 v4.0.0
% 1.12/1.24 % Syntax : Number of formulae : 46 ( 3 unt; 9 def)
% 1.12/1.24 % Number of atoms : 247 ( 60 equ)
% 1.12/1.24 % Maximal formula atoms : 23 ( 5 avg)
% 1.12/1.24 % Number of connectives : 215 ( 14 ~; 9 |; 120 &)
% 1.12/1.24 % ( 17 <=>; 55 =>; 0 <=; 0 <~>)
% 1.12/1.24 % Maximal formula depth : 18 ( 7 avg)
% 1.12/1.24 % Maximal term depth : 3 ( 1 avg)
% 1.12/1.24 % Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% 1.12/1.24 % Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% 1.12/1.24 % Number of variables : 126 ( 89 !; 37 ?)
% 1.12/1.24 % SPC : FOF_THM_RFO_SEQ
% 1.12/1.24
% 1.12/1.24 % Comments : Problem generated by the SAD system [VLP07]
% 1.12/1.24 %------------------------------------------------------------------------------
% 1.12/1.24 fof(mElmSort,axiom,
% 1.12/1.24 ! [W0] :
% 1.12/1.24 ( aElement0(W0)
% 1.12/1.24 => $true ) ).
% 1.12/1.24
% 1.12/1.24 fof(mSortsC,axiom,
% 1.12/1.24 aElement0(sz00) ).
% 1.12/1.24
% 1.12/1.24 fof(mSortsC_01,axiom,
% 1.12/1.24 aElement0(sz10) ).
% 1.12/1.24
% 1.12/1.24 fof(mSortsU,axiom,
% 1.12/1.24 ! [W0] :
% 1.12/1.24 ( aElement0(W0)
% 1.12/1.24 => aElement0(smndt0(W0)) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mSortsB,axiom,
% 1.12/1.24 ! [W0,W1] :
% 1.12/1.24 ( ( aElement0(W0)
% 1.12/1.24 & aElement0(W1) )
% 1.12/1.24 => aElement0(sdtpldt0(W0,W1)) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mSortsB_02,axiom,
% 1.12/1.24 ! [W0,W1] :
% 1.12/1.24 ( ( aElement0(W0)
% 1.12/1.24 & aElement0(W1) )
% 1.12/1.24 => aElement0(sdtasdt0(W0,W1)) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mAddComm,axiom,
% 1.12/1.24 ! [W0,W1] :
% 1.12/1.24 ( ( aElement0(W0)
% 1.12/1.24 & aElement0(W1) )
% 1.12/1.24 => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mAddAsso,axiom,
% 1.12/1.24 ! [W0,W1,W2] :
% 1.12/1.24 ( ( aElement0(W0)
% 1.12/1.24 & aElement0(W1)
% 1.12/1.24 & aElement0(W2) )
% 1.12/1.24 => sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mAddZero,axiom,
% 1.12/1.24 ! [W0] :
% 1.12/1.24 ( aElement0(W0)
% 1.12/1.24 => ( sdtpldt0(W0,sz00) = W0
% 1.12/1.24 & W0 = sdtpldt0(sz00,W0) ) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mAddInvr,axiom,
% 1.12/1.24 ! [W0] :
% 1.12/1.24 ( aElement0(W0)
% 1.12/1.24 => ( sdtpldt0(W0,smndt0(W0)) = sz00
% 1.12/1.24 & sz00 = sdtpldt0(smndt0(W0),W0) ) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mMulComm,axiom,
% 1.12/1.24 ! [W0,W1] :
% 1.12/1.24 ( ( aElement0(W0)
% 1.12/1.24 & aElement0(W1) )
% 1.12/1.24 => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mMulAsso,axiom,
% 1.12/1.24 ! [W0,W1,W2] :
% 1.12/1.24 ( ( aElement0(W0)
% 1.12/1.24 & aElement0(W1)
% 1.12/1.24 & aElement0(W2) )
% 1.12/1.24 => sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mMulUnit,axiom,
% 1.12/1.24 ! [W0] :
% 1.12/1.24 ( aElement0(W0)
% 1.12/1.24 => ( sdtasdt0(W0,sz10) = W0
% 1.12/1.24 & W0 = sdtasdt0(sz10,W0) ) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mAMDistr,axiom,
% 1.12/1.24 ! [W0,W1,W2] :
% 1.12/1.24 ( ( aElement0(W0)
% 1.12/1.24 & aElement0(W1)
% 1.12/1.24 & aElement0(W2) )
% 1.12/1.24 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 1.12/1.24 & sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mMulMnOne,axiom,
% 1.12/1.24 ! [W0] :
% 1.12/1.24 ( aElement0(W0)
% 1.12/1.24 => ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)
% 1.12/1.24 & smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mMulZero,axiom,
% 1.12/1.24 ! [W0] :
% 1.12/1.24 ( aElement0(W0)
% 1.12/1.24 => ( sdtasdt0(W0,sz00) = sz00
% 1.12/1.24 & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mCancel,axiom,
% 1.12/1.24 ! [W0,W1] :
% 1.12/1.24 ( ( aElement0(W0)
% 1.12/1.24 & aElement0(W1) )
% 1.12/1.24 => ( sdtasdt0(W0,W1) = sz00
% 1.12/1.24 => ( W0 = sz00
% 1.12/1.24 | W1 = sz00 ) ) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mUnNeZr,axiom,
% 1.12/1.24 sz10 != sz00 ).
% 1.12/1.24
% 1.12/1.24 fof(mSetSort,axiom,
% 1.12/1.24 ! [W0] :
% 1.12/1.24 ( aSet0(W0)
% 1.12/1.24 => $true ) ).
% 1.12/1.24
% 1.12/1.24 fof(mEOfElem,axiom,
% 1.12/1.24 ! [W0] :
% 1.12/1.24 ( aSet0(W0)
% 1.12/1.24 => ! [W1] :
% 1.12/1.24 ( aElementOf0(W1,W0)
% 1.12/1.24 => aElement0(W1) ) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mSetEq,axiom,
% 1.12/1.24 ! [W0,W1] :
% 1.12/1.24 ( ( aSet0(W0)
% 1.12/1.24 & aSet0(W1) )
% 1.12/1.24 => ( ( ! [W2] :
% 1.12/1.24 ( aElementOf0(W2,W0)
% 1.12/1.24 => aElementOf0(W2,W1) )
% 1.12/1.24 & ! [W2] :
% 1.12/1.24 ( aElementOf0(W2,W1)
% 1.12/1.24 => aElementOf0(W2,W0) ) )
% 1.12/1.24 => W0 = W1 ) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mDefSSum,definition,
% 1.12/1.24 ! [W0,W1] :
% 1.12/1.24 ( ( aSet0(W0)
% 1.12/1.24 & aSet0(W1) )
% 1.12/1.24 => ! [W2] :
% 1.12/1.24 ( W2 = sdtpldt1(W0,W1)
% 1.12/1.24 <=> ( aSet0(W2)
% 1.12/1.24 & ! [W3] :
% 1.12/1.24 ( aElementOf0(W3,W2)
% 1.12/1.24 <=> ? [W4,W5] :
% 1.12/1.24 ( aElementOf0(W4,W0)
% 1.12/1.24 & aElementOf0(W5,W1)
% 1.12/1.24 & sdtpldt0(W4,W5) = W3 ) ) ) ) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mDefSInt,definition,
% 1.12/1.24 ! [W0,W1] :
% 1.12/1.24 ( ( aSet0(W0)
% 1.12/1.24 & aSet0(W1) )
% 1.12/1.24 => ! [W2] :
% 1.12/1.24 ( W2 = sdtasasdt0(W0,W1)
% 1.12/1.24 <=> ( aSet0(W2)
% 1.12/1.24 & ! [W3] :
% 1.12/1.24 ( aElementOf0(W3,W2)
% 1.12/1.24 <=> ( aElementOf0(W3,W0)
% 1.12/1.24 & aElementOf0(W3,W1) ) ) ) ) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mDefIdeal,definition,
% 1.12/1.24 ! [W0] :
% 1.12/1.24 ( aIdeal0(W0)
% 1.12/1.24 <=> ( aSet0(W0)
% 1.12/1.24 & ! [W1] :
% 1.12/1.24 ( aElementOf0(W1,W0)
% 1.12/1.24 => ( ! [W2] :
% 1.12/1.24 ( aElementOf0(W2,W0)
% 1.12/1.24 => aElementOf0(sdtpldt0(W1,W2),W0) )
% 1.12/1.24 & ! [W2] :
% 1.12/1.24 ( aElement0(W2)
% 1.12/1.24 => aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mIdeSum,axiom,
% 1.12/1.24 ! [W0,W1] :
% 1.12/1.24 ( ( aIdeal0(W0)
% 1.12/1.24 & aIdeal0(W1) )
% 1.12/1.24 => aIdeal0(sdtpldt1(W0,W1)) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mIdeInt,axiom,
% 1.12/1.24 ! [W0,W1] :
% 1.12/1.24 ( ( aIdeal0(W0)
% 1.12/1.24 & aIdeal0(W1) )
% 1.12/1.24 => aIdeal0(sdtasasdt0(W0,W1)) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mDefMod,definition,
% 1.12/1.24 ! [W0,W1,W2] :
% 1.12/1.24 ( ( aElement0(W0)
% 1.12/1.24 & aElement0(W1)
% 1.12/1.24 & aIdeal0(W2) )
% 1.12/1.24 => ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
% 1.12/1.24 <=> aElementOf0(sdtpldt0(W0,smndt0(W1)),W2) ) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mChineseRemainder,axiom,
% 1.12/1.24 ! [W0,W1] :
% 1.12/1.24 ( ( aIdeal0(W0)
% 1.12/1.24 & aIdeal0(W1) )
% 1.12/1.24 => ( ! [W2] :
% 1.12/1.24 ( aElement0(W2)
% 1.12/1.24 => aElementOf0(W2,sdtpldt1(W0,W1)) )
% 1.12/1.24 => ! [W2,W3] :
% 1.12/1.24 ( ( aElement0(W2)
% 1.12/1.24 & aElement0(W3) )
% 1.12/1.24 => ? [W4] :
% 1.12/1.24 ( aElement0(W4)
% 1.12/1.24 & sdteqdtlpzmzozddtrp0(W4,W2,W0)
% 1.12/1.24 & sdteqdtlpzmzozddtrp0(W4,W3,W1) ) ) ) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mNatSort,axiom,
% 1.12/1.24 ! [W0] :
% 1.12/1.24 ( aNaturalNumber0(W0)
% 1.12/1.24 => $true ) ).
% 1.12/1.24
% 1.12/1.24 fof(mEucSort,axiom,
% 1.12/1.24 ! [W0] :
% 1.12/1.24 ( ( aElement0(W0)
% 1.12/1.24 & W0 != sz00 )
% 1.12/1.24 => aNaturalNumber0(sbrdtbr0(W0)) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mNatLess,axiom,
% 1.12/1.24 ! [W0,W1] :
% 1.12/1.24 ( ( aNaturalNumber0(W0)
% 1.12/1.24 & aNaturalNumber0(W1) )
% 1.12/1.24 => ( iLess0(W0,W1)
% 1.12/1.24 => $true ) ) ).
% 1.12/1.24
% 1.12/1.24 fof(mDivision,axiom,
% 1.12/1.24 ! [W0,W1] :
% 1.12/1.24 ( ( aElement0(W0)
% 1.12/1.24 & aElement0(W1)
% 1.12/1.25 & W1 != sz00 )
% 1.12/1.25 => ? [W2,W3] :
% 1.12/1.25 ( aElement0(W2)
% 1.12/1.25 & aElement0(W3)
% 1.12/1.25 & W0 = sdtpldt0(sdtasdt0(W2,W1),W3)
% 1.12/1.25 & ( W3 != sz00
% 1.12/1.25 => iLess0(sbrdtbr0(W3),sbrdtbr0(W1)) ) ) ) ).
% 1.12/1.25
% 1.12/1.25 fof(mDefDiv,definition,
% 1.12/1.25 ! [W0,W1] :
% 1.12/1.25 ( ( aElement0(W0)
% 1.12/1.25 & aElement0(W1) )
% 1.12/1.25 => ( doDivides0(W0,W1)
% 1.12/1.25 <=> ? [W2] :
% 1.12/1.25 ( aElement0(W2)
% 1.12/1.25 & sdtasdt0(W0,W2) = W1 ) ) ) ).
% 1.12/1.25
% 1.12/1.25 fof(mDefDvs,definition,
% 1.12/1.25 ! [W0] :
% 1.12/1.25 ( aElement0(W0)
% 1.12/1.25 => ! [W1] :
% 1.12/1.25 ( aDivisorOf0(W1,W0)
% 1.12/1.25 <=> ( aElement0(W1)
% 1.12/1.25 & doDivides0(W1,W0) ) ) ) ).
% 1.12/1.25
% 1.12/1.25 fof(mDefGCD,definition,
% 1.12/1.25 ! [W0,W1] :
% 1.12/1.25 ( ( aElement0(W0)
% 1.12/1.25 & aElement0(W1) )
% 1.12/1.25 => ! [W2] :
% 1.12/1.25 ( aGcdOfAnd0(W2,W0,W1)
% 1.12/1.25 <=> ( aDivisorOf0(W2,W0)
% 1.12/1.25 & aDivisorOf0(W2,W1)
% 1.12/1.25 & ! [W3] :
% 1.12/1.25 ( ( aDivisorOf0(W3,W0)
% 1.12/1.25 & aDivisorOf0(W3,W1) )
% 1.12/1.25 => doDivides0(W3,W2) ) ) ) ) ).
% 1.12/1.25
% 1.12/1.25 fof(mDefRel,definition,
% 1.12/1.25 ! [W0,W1] :
% 1.12/1.25 ( ( aElement0(W0)
% 1.12/1.25 & aElement0(W1) )
% 1.12/1.25 => ( misRelativelyPrime0(W0,W1)
% 1.12/1.25 <=> aGcdOfAnd0(sz10,W0,W1) ) ) ).
% 1.12/1.25
% 1.12/1.25 fof(mDefPrIdeal,definition,
% 1.12/1.25 ! [W0] :
% 1.12/1.25 ( aElement0(W0)
% 1.12/1.25 => ! [W1] :
% 1.12/1.25 ( W1 = slsdtgt0(W0)
% 1.12/1.25 <=> ( aSet0(W1)
% 1.12/1.25 & ! [W2] :
% 1.12/1.25 ( aElementOf0(W2,W1)
% 1.12/1.25 <=> ? [W3] :
% 1.12/1.25 ( aElement0(W3)
% 1.12/1.25 & sdtasdt0(W0,W3) = W2 ) ) ) ) ) ).
% 1.12/1.25
% 1.12/1.25 fof(mPrIdeal,axiom,
% 1.12/1.25 ! [W0] :
% 1.12/1.25 ( aElement0(W0)
% 1.12/1.25 => aIdeal0(slsdtgt0(W0)) ) ).
% 1.12/1.25
% 1.12/1.25 fof(m__2091,hypothesis,
% 1.12/1.25 ( aElement0(xa)
% 1.12/1.25 & aElement0(xb) ) ).
% 1.12/1.25
% 1.12/1.25 fof(m__2110,hypothesis,
% 1.12/1.25 ( xa != sz00
% 1.12/1.25 | xb != sz00 ) ).
% 1.12/1.25
% 1.12/1.25 fof(m__2129,hypothesis,
% 1.12/1.25 ( aElement0(xc)
% 1.12/1.25 & ? [W0] :
% 1.12/1.25 ( aElement0(W0)
% 1.12/1.25 & sdtasdt0(xc,W0) = xa )
% 1.12/1.25 & doDivides0(xc,xa)
% 1.12/1.25 & aDivisorOf0(xc,xa)
% 1.12/1.25 & aElement0(xc)
% 1.12/1.25 & ? [W0] :
% 1.12/1.25 ( aElement0(W0)
% 1.12/1.25 & sdtasdt0(xc,W0) = xb )
% 1.12/1.25 & doDivides0(xc,xb)
% 1.12/1.25 & aDivisorOf0(xc,xb)
% 1.12/1.25 & ! [W0] :
% 1.12/1.25 ( ( ( ( aElement0(W0)
% 1.12/1.25 & ( ? [W1] :
% 1.12/1.25 ( aElement0(W1)
% 1.12/1.25 & sdtasdt0(W0,W1) = xa )
% 1.12/1.25 | doDivides0(W0,xa) ) )
% 1.12/1.25 | aDivisorOf0(W0,xa) )
% 1.12/1.25 & ( ? [W1] :
% 1.12/1.25 ( aElement0(W1)
% 1.12/1.25 & sdtasdt0(W0,W1) = xb )
% 1.12/1.25 | doDivides0(W0,xb)
% 1.12/1.25 | aDivisorOf0(W0,xb) ) )
% 1.12/1.25 => ( ? [W1] :
% 1.12/1.25 ( aElement0(W1)
% 1.12/1.25 & sdtasdt0(W0,W1) = xc )
% 1.12/1.25 & doDivides0(W0,xc) ) )
% 1.12/1.25 & aGcdOfAnd0(xc,xa,xb) ) ).
% 1.12/1.25
% 1.12/1.25 fof(m__2174,hypothesis,
% 1.12/1.25 ( aSet0(xI)
% 1.12/1.25 & ! [W0] :
% 1.12/1.25 ( aElementOf0(W0,xI)
% 1.12/1.25 => ( ! [W1] :
% 1.12/1.25 ( aElementOf0(W1,xI)
% 1.12/1.25 => aElementOf0(sdtpldt0(W0,W1),xI) )
% 1.12/1.25 & ! [W1] :
% 1.12/1.25 ( aElement0(W1)
% 1.12/1.25 => aElementOf0(sdtasdt0(W1,W0),xI) ) ) )
% 1.12/1.25 & aIdeal0(xI)
% 1.12/1.25 & ! [W0] :
% 1.12/1.25 ( aElementOf0(W0,slsdtgt0(xa))
% 1.12/1.25 <=> ? [W1] :
% 1.12/1.25 ( aElement0(W1)
% 1.12/1.25 & sdtasdt0(xa,W1) = W0 ) )
% 1.12/1.25 & ! [W0] :
% 1.12/1.25 ( aElementOf0(W0,slsdtgt0(xb))
% 1.12/1.25 <=> ? [W1] :
% 1.12/1.25 ( aElement0(W1)
% 1.12/1.25 & sdtasdt0(xb,W1) = W0 ) )
% 1.12/1.25 & ! [W0] :
% 1.12/1.25 ( aElementOf0(W0,xI)
% 1.12/1.25 <=> ? [W1,W2] :
% 1.12/1.25 ( aElementOf0(W1,slsdtgt0(xa))
% 1.12/1.25 & aElementOf0(W2,slsdtgt0(xb))
% 1.12/1.25 & sdtpldt0(W1,W2) = W0 ) )
% 1.12/1.25 & xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ) ).
% 1.12/1.25
% 1.12/1.25 fof(m__2203,hypothesis,
% 1.12/1.25 ( ? [W0] :
% 1.12/1.25 ( aElement0(W0)
% 1.12/1.25 & sdtasdt0(xa,W0) = sz00 )
% 1.12/1.25 & aElementOf0(sz00,slsdtgt0(xa))
% 1.12/1.25 & ? [W0] :
% 1.12/1.25 ( aElement0(W0)
% 1.12/1.25 & sdtasdt0(xa,W0) = xa )
% 1.12/1.25 & aElementOf0(xa,slsdtgt0(xa))
% 1.12/1.25 & ? [W0] :
% 1.12/1.25 ( aElement0(W0)
% 1.12/1.25 & sdtasdt0(xb,W0) = sz00 )
% 1.12/1.25 & aElementOf0(sz00,slsdtgt0(xb))
% 1.12/1.25 & ? [W0] :
% 1.12/1.25 ( aElement0(W0)
% 1.12/1.25 & sdtasdt0(xb,W0) = xb )
% 1.12/1.25 & aElementOf0(xb,slsdtgt0(xb)) ) ).
% 1.12/1.25
% 1.12/1.25 fof(m__2228,hypothesis,
% 1.12/1.25 ? [W0] :
% 1.12/1.25 ( ! [W1] :
% 1.12/1.25 ( aElementOf0(W1,slsdtgt0(xa))
% 1.12/1.25 <=> ? [W2] :
% 1.12/1.25 ( aElement0(W2)
% 1.12/1.25 & sdtasdt0(xa,W2) = W1 ) )
% 1.12/1.25 & ! [W1] :
% 1.12/1.25 ( aElementOf0(W1,slsdtgt0(xb))
% 1.12/1.25 <=> ? [W2] :
% 1.12/1.25 ( aElement0(W2)
% 1.12/1.25 & sdtasdt0(xb,W2) = W1 ) )
% 1.12/1.25 & ? [W1,W2] :
% 1.12/1.25 ( aElementOf0(W1,slsdtgt0(xa))
% 1.12/1.25 & aElementOf0(W2,slsdtgt0(xb))
% 1.12/1.25 & sdtpldt0(W1,W2) = W0 )
% 1.12/1.25 & aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
% 1.12/1.25 & W0 != sz00 ) ).
% 1.12/1.25
% 1.12/1.25 fof(m__2351,hypothesis,
% 1.12/1.25 ! [W0] :
% 1.12/1.25 ( ( ( ? [W1,W2] :
% 1.12/1.25 ( aElementOf0(W1,slsdtgt0(xa))
% 1.12/1.25 & aElementOf0(W2,slsdtgt0(xb))
% 1.12/1.25 & sdtpldt0(W1,W2) = W0 )
% 1.12/1.25 | aElementOf0(W0,xI) )
% 1.12/1.25 & W0 != sz00 )
% 1.12/1.25 => ? [W1] :
% 1.12/1.25 ( ? [W2,W3] :
% 1.12/1.25 ( aElementOf0(W2,slsdtgt0(xa))
% 1.12/1.25 & aElementOf0(W3,slsdtgt0(xb))
% 1.12/1.25 & sdtpldt0(W2,W3) = W1 )
% 1.12/1.25 & aElementOf0(W1,xI)
% 1.12/1.25 & W1 != sz00
% 1.12/1.25 & ! [W2] :
% 1.12/1.25 ( ( ( ? [W3,W4] :
% 1.12/1.25 ( aElementOf0(W3,slsdtgt0(xa))
% 1.12/1.25 & aElementOf0(W4,slsdtgt0(xb))
% 1.12/1.25 & sdtpldt0(W3,W4) = W2 )
% 1.12/1.25 | aElementOf0(W2,xI) )
% 1.12/1.25 & W2 != sz00 )
% 1.12/1.25 => ~ iLess0(sbrdtbr0(W2),sbrdtbr0(W1)) ) ) ) ).
% 1.12/1.25
% 1.12/1.25 fof(m__,conjecture,
% 1.12/1.25 ? [W0] :
% 1.12/1.25 ( ( ? [W1,W2] :
% 1.12/1.25 ( aElementOf0(W1,slsdtgt0(xa))
% 1.12/1.25 & aElementOf0(W2,slsdtgt0(xb))
% 1.12/1.25 & sdtpldt0(W1,W2) = W0 )
% 1.12/1.25 | aElementOf0(W0,xI) )
% 1.12/1.25 & W0 != sz00
% 1.12/1.25 & ! [W1] :
% 1.12/1.25 ( ( ? [W2,W3] :
% 1.12/1.25 ( aElementOf0(W2,slsdtgt0(xa))
% 1.12/1.25 & aElementOf0(W3,slsdtgt0(xb))
% 1.12/1.25 & sdtpldt0(W2,W3) = W1 )
% 1.12/1.25 & aElementOf0(W1,xI)
% 1.12/1.25 & W1 != sz00 )
% 1.12/1.25 => ~ iLess0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ) ).
% 1.12/1.25
% 1.12/1.25 %------------------------------------------------------------------------------
% 1.12/1.25 %-------------------------------------------
% 1.12/1.25 % Proof found
% 1.12/1.25 % SZS status Theorem for theBenchmark
% 1.12/1.25 % SZS output start Proof
% 1.12/1.25 %ClaNum:287(EqnAxiom:93)
% 1.12/1.25 %VarNum:1028(SingletonVarNum:336)
% 1.12/1.25 %MaxLitNum:9
% 1.12/1.25 %MaxfuncDepth:2
% 1.12/1.25 %SharedTerms:73
% 1.12/1.25 %goalClause: 147 160 173 174 189 195 227 238 241 242 244 249
% 1.12/1.25 [94]P1(a1)
% 1.12/1.25 [95]P1(a51)
% 1.12/1.25 [96]P1(a52)
% 1.12/1.25 [97]P1(a54)
% 1.12/1.25 [99]P1(a55)
% 1.12/1.25 [100]P1(a2)
% 1.12/1.25 [101]P1(a15)
% 1.12/1.25 [102]P1(a16)
% 1.12/1.25 [103]P1(a22)
% 1.12/1.25 [104]P1(a23)
% 1.12/1.25 [105]P1(a25)
% 1.12/1.25 [106]P3(a53)
% 1.12/1.25 [107]P4(a53)
% 1.12/1.25 [115]P8(a55,a52)
% 1.12/1.25 [116]P8(a55,a54)
% 1.12/1.25 [117]P2(a55,a52)
% 1.12/1.25 [118]P2(a55,a54)
% 1.12/1.25 [126]P6(a55,a52,a54)
% 1.12/1.25 [128]~E(a1,a51)
% 1.12/1.25 [129]~E(a1,a27)
% 1.12/1.25 [108]E(f31(a26,a30),a27)
% 1.12/1.25 [109]E(f32(a52,a16),a1)
% 1.12/1.25 [110]E(f32(a52,a22),a52)
% 1.12/1.25 [111]E(f32(a54,a23),a1)
% 1.12/1.25 [112]E(f32(a54,a25),a54)
% 1.12/1.25 [113]E(f32(a55,a2),a52)
% 1.12/1.25 [114]E(f32(a55,a15),a54)
% 1.12/1.25 [119]P5(a1,f48(a52))
% 1.12/1.25 [120]P5(a1,f48(a54))
% 1.12/1.25 [121]P5(a52,f48(a52))
% 1.12/1.25 [122]P5(a54,f48(a54))
% 1.12/1.25 [123]P5(a26,f48(a52))
% 1.12/1.25 [124]P5(a30,f48(a54))
% 1.12/1.25 [125]E(f49(f48(a52),f48(a54)),a53)
% 1.12/1.25 [127]P5(a27,f49(f48(a52),f48(a54)))
% 1.12/1.25 [130]~E(a1,a52)+~E(a1,a54)
% 1.12/1.25 [131]~P4(x1311)+P3(x1311)
% 1.12/1.25 [132]~P1(x1321)+P1(f50(x1321))
% 1.12/1.25 [133]~P1(x1331)+P4(f48(x1331))
% 1.12/1.25 [135]~P1(x1351)+E(f32(a1,x1351),a1)
% 1.12/1.25 [136]~P1(x1361)+E(f32(x1361,a1),a1)
% 1.12/1.25 [138]~P1(x1381)+E(f31(a1,x1381),x1381)
% 1.12/1.25 [139]~P1(x1391)+E(f32(a51,x1391),x1391)
% 1.12/1.25 [140]~P1(x1401)+E(f31(x1401,a1),x1401)
% 1.12/1.25 [141]~P1(x1411)+E(f32(x1411,a51),x1411)
% 1.12/1.25 [155]~P5(x1551,f48(a52))+P1(f17(x1551))
% 1.12/1.25 [156]~P5(x1561,f48(a54))+P1(f19(x1561))
% 1.12/1.25 [157]~P5(x1571,f48(a52))+P1(f28(x1571))
% 1.12/1.25 [158]~P5(x1581,f48(a54))+P1(f29(x1581))
% 1.12/1.25 [166]~P5(x1661,a53)+P5(f20(x1661),f48(a52))
% 1.12/1.25 [167]~P5(x1671,a53)+P5(f21(x1671),f48(a54))
% 1.12/1.25 [143]~P1(x1431)+E(f31(f50(x1431),x1431),a1)
% 1.12/1.25 [144]~P1(x1441)+E(f31(x1441,f50(x1441)),a1)
% 1.12/1.25 [145]~P1(x1451)+E(f32(x1451,f50(a51)),f50(x1451))
% 1.12/1.25 [146]~P1(x1461)+E(f32(f50(a51),x1461),f50(x1461))
% 1.12/1.25 [181]~P5(x1811,f48(a52))+E(f32(a52,f17(x1811)),x1811)
% 1.12/1.25 [182]~P5(x1821,f48(a52))+E(f32(a52,f28(x1821)),x1821)
% 1.12/1.25 [183]~P5(x1831,f48(a54))+E(f32(a54,f19(x1831)),x1831)
% 1.12/1.25 [184]~P5(x1841,f48(a54))+E(f32(a54,f29(x1841)),x1841)
% 1.12/1.25 [185]~P5(x1851,a53)+E(f31(f20(x1851),f21(x1851)),x1851)
% 1.12/1.25 [142]~P5(x1421,a53)+E(x1421,a1)+~E(a34,a1)
% 1.12/1.25 [150]~P5(x1501,a53)+E(x1501,a1)+P5(a34,a53)
% 1.12/1.25 [190]~P8(x1901,a54)+~P2(x1901,a52)+P8(x1901,a55)
% 1.12/1.25 [191]~P2(x1911,a52)+~P2(x1911,a54)+P8(x1911,a55)
% 1.12/1.25 [134]~P1(x1341)+E(x1341,a1)+P7(f33(x1341))
% 1.12/1.25 [147]~P5(x1471,a53)+E(x1471,a1)+~E(f35(x1471),a1)
% 1.12/1.25 [148]~P3(x1481)+P4(x1481)+P5(f39(x1481),x1481)
% 1.12/1.25 [149]~P5(x1491,a53)+E(x1491,a1)+E(f31(a36,a37),a34)
% 1.12/1.25 [153]~P5(x1531,a53)+E(x1531,a1)+P5(a36,f48(a52))
% 1.12/1.25 [154]~P5(x1541,a53)+E(x1541,a1)+P5(a37,f48(a54))
% 1.12/1.25 [160]~P5(x1601,a53)+E(x1601,a1)+P5(f35(x1601),a53)
% 1.12/1.25 [173]~P5(x1731,a53)+E(x1731,a1)+P5(f40(x1731),f48(a52))
% 1.12/1.25 [174]~P5(x1741,a53)+E(x1741,a1)+P5(f41(x1741),f48(a54))
% 1.12/1.25 [186]~P8(x1861,a54)+~P2(x1861,a52)+P1(f18(x1861))
% 1.12/1.25 [187]~P2(x1871,a52)+~P2(x1871,a54)+P1(f18(x1871))
% 1.12/1.25 [189]~P5(x1891,a53)+E(x1891,a1)+E(f31(f40(x1891),f41(x1891)),f35(x1891))
% 1.12/1.25 [195]~P5(x1951,a53)+E(x1951,a1)+P9(f33(f35(x1951)),f33(x1951))
% 1.12/1.25 [200]~P8(x2001,a54)+~P2(x2001,a52)+E(f32(x2001,f18(x2001)),a55)
% 1.12/1.25 [201]~P2(x2011,a52)+~P2(x2011,a54)+E(f32(x2011,f18(x2011)),a55)
% 1.12/1.25 [151]~P5(x1511,x1512)+P1(x1511)+~P3(x1512)
% 1.12/1.25 [152]~P2(x1521,x1522)+P1(x1521)+~P1(x1522)
% 1.12/1.25 [168]~P1(x1682)+~P2(x1681,x1682)+P8(x1681,x1682)
% 1.12/1.25 [137]~P1(x1372)+P3(x1371)+~E(x1371,f48(x1372))
% 1.12/1.25 [161]~P1(x1612)+~P1(x1611)+E(f31(x1611,x1612),f31(x1612,x1611))
% 1.12/1.25 [162]~P1(x1622)+~P1(x1621)+E(f32(x1621,x1622),f32(x1622,x1621))
% 1.12/1.25 [169]~P1(x1692)+~P1(x1691)+P1(f31(x1691,x1692))
% 1.12/1.25 [170]~P1(x1702)+~P1(x1701)+P1(f32(x1701,x1702))
% 1.12/1.25 [171]~P4(x1712)+~P4(x1711)+P4(f49(x1711,x1712))
% 1.12/1.25 [172]~P4(x1722)+~P4(x1721)+P4(f47(x1721,x1722))
% 1.12/1.25 [176]~P1(x1762)+~E(f32(a52,x1762),x1761)+P5(x1761,f48(a52))
% 1.12/1.25 [178]~P1(x1782)+~E(f32(a54,x1782),x1781)+P5(x1781,f48(a54))
% 1.12/1.25 [203]~P1(x2031)+~P5(x2032,a53)+P5(f32(x2031,x2032),a53)
% 1.12/1.25 [222]~P5(x2221,a53)+~P5(x2222,a53)+P5(f31(x2221,x2222),a53)
% 1.12/1.25 [196]~P1(x1961)+~P8(x1961,a52)+~P8(x1961,a54)+P8(x1961,a55)
% 1.12/1.25 [197]~P1(x1971)+~P8(x1971,a52)+~P2(x1971,a54)+P8(x1971,a55)
% 1.12/1.25 [165]~P3(x1651)+P4(x1651)+P5(f4(x1651),x1651)+P1(f3(x1651))
% 1.12/1.25 [192]~P1(x1921)+~P8(x1921,a52)+~P8(x1921,a54)+P1(f18(x1921))
% 1.12/1.25 [193]~P1(x1931)+~P8(x1931,a52)+~P2(x1931,a54)+P1(f18(x1931))
% 1.12/1.25 [208]~P1(x2081)+~P8(x2081,a52)+~P8(x2081,a54)+E(f32(x2081,f18(x2081)),a55)
% 1.12/1.25 [209]~P1(x2091)+~P8(x2091,a52)+~P2(x2091,a54)+E(f32(x2091,f18(x2091)),a55)
% 1.12/1.25 [253]~P3(x2531)+P4(x2531)+P1(f3(x2531))+~P5(f31(f39(x2531),f4(x2531)),x2531)
% 1.12/1.25 [256]~P3(x2561)+P4(x2561)+P5(f4(x2561),x2561)+~P5(f32(f3(x2561),f39(x2561)),x2561)
% 1.12/1.25 [268]~P3(x2681)+P4(x2681)+~P5(f31(f39(x2681),f4(x2681)),x2681)+~P5(f32(f3(x2681),f39(x2681)),x2681)
% 1.12/1.25 [188]~P1(x1882)+~P1(x1881)+~P8(x1881,x1882)+P2(x1881,x1882)
% 1.12/1.25 [228]~P1(x2282)+~P1(x2281)+~P10(x2281,x2282)+P6(a51,x2281,x2282)
% 1.12/1.25 [245]~P1(x2452)+~P1(x2451)+P10(x2451,x2452)+~P6(a51,x2451,x2452)
% 1.12/1.25 [179]~P1(x1791)+~P1(x1792)+E(x1791,a1)+P1(f5(x1792,x1791))
% 1.12/1.25 [180]~P1(x1801)+~P1(x1802)+E(x1801,a1)+P1(f8(x1802,x1801))
% 1.12/1.25 [198]~P1(x1982)+~P2(x1981,a52)+P1(f18(x1981))+~E(f32(x1981,x1982),a54)
% 1.12/1.25 [202]~P1(x2022)+~P2(x2021,a52)+P8(x2021,a55)+~E(f32(x2021,x2022),a54)
% 1.12/1.25 [204]~P1(x2042)+~P1(x2041)+~P8(x2041,x2042)+P1(f9(x2041,x2042))
% 1.12/1.25 [213]~P1(x2132)+~P2(x2131,a52)+~E(f32(x2131,x2132),a54)+E(f32(x2131,f18(x2131)),a55)
% 1.12/1.25 [221]~P1(x2212)+~P1(x2211)+~P8(x2211,x2212)+E(f32(x2211,f9(x2211,x2212)),x2212)
% 1.12/1.25 [258]~P1(x2581)+~P1(x2582)+E(x2581,a1)+E(f31(f32(f5(x2582,x2581),x2581),f8(x2582,x2581)),x2582)
% 1.12/1.25 [247]~P1(x2472)+~P6(x2471,x2473,x2472)+P2(x2471,x2472)+~P1(x2473)
% 1.12/1.25 [248]~P1(x2482)+~P6(x2481,x2482,x2483)+P2(x2481,x2482)+~P1(x2483)
% 1.12/1.25 [163]~P3(x1633)+~P3(x1632)+P3(x1631)+~E(x1631,f49(x1632,x1633))
% 1.12/1.25 [164]~P3(x1643)+~P3(x1642)+P3(x1641)+~E(x1641,f47(x1642,x1643))
% 1.12/1.25 [216]~P1(x2161)+~P4(x2163)+~P5(x2162,x2163)+P5(f32(x2161,x2162),x2163)
% 1.12/1.25 [230]P5(x2301,a53)+~E(f31(x2302,x2303),x2301)+~P5(x2303,f48(a54))+~P5(x2302,f48(a52))
% 1.12/1.25 [233]~P4(x2333)+~P5(x2331,x2333)+~P5(x2332,x2333)+P5(f31(x2331,x2332),x2333)
% 1.12/1.25 [262]~P1(x2621)+~P5(x2623,x2622)+~E(x2622,f48(x2621))+P1(f12(x2621,x2622,x2623))
% 1.12/1.25 [239]~P1(x2393)+~P1(x2392)+~P1(x2391)+E(f31(f31(x2391,x2392),x2393),f31(x2391,f31(x2392,x2393)))
% 1.12/1.25 [240]~P1(x2403)+~P1(x2402)+~P1(x2401)+E(f32(f32(x2401,x2402),x2403),f32(x2401,f32(x2402,x2403)))
% 1.12/1.25 [254]~P1(x2543)+~P1(x2542)+~P1(x2541)+E(f31(f32(x2541,x2542),f32(x2541,x2543)),f32(x2541,f31(x2542,x2543)))
% 1.12/1.26 [255]~P1(x2552)+~P1(x2553)+~P1(x2551)+E(f31(f32(x2551,x2552),f32(x2553,x2552)),f32(f31(x2551,x2553),x2552))
% 1.12/1.26 [264]~P1(x2641)+~P5(x2643,x2642)+~E(x2642,f48(x2641))+E(f32(x2641,f12(x2641,x2642,x2643)),x2643)
% 1.12/1.26 [159]~P1(x1591)+~P1(x1592)+E(x1591,a1)+E(x1592,a1)+~E(f32(x1592,x1591),a1)
% 1.12/1.26 [205]~P1(x2052)+~P1(x2051)+~P8(x2051,a54)+P1(f18(x2051))+~E(f32(x2051,x2052),a52)
% 1.12/1.26 [206]~P1(x2062)+~P1(x2061)+~P2(x2061,a54)+P1(f18(x2061))+~E(f32(x2061,x2062),a52)
% 1.12/1.26 [207]~P1(x2072)+~P1(x2071)+~P8(x2071,a52)+P1(f18(x2071))+~E(f32(x2071,x2072),a54)
% 1.12/1.26 [210]~P1(x2102)+~P1(x2101)+~P8(x2101,a54)+P8(x2101,a55)+~E(f32(x2101,x2102),a52)
% 1.12/1.26 [211]~P1(x2112)+~P1(x2111)+~P2(x2111,a54)+P8(x2111,a55)+~E(f32(x2111,x2112),a52)
% 1.12/1.26 [212]~P1(x2122)+~P1(x2121)+~P8(x2121,a52)+P8(x2121,a55)+~E(f32(x2121,x2122),a54)
% 1.12/1.26 [224]~P5(x2241,a53)+~P5(x2242,a53)+E(x2241,a1)+E(x2242,a1)+~P9(f33(x2242),f33(a34))
% 1.12/1.26 [229]~P1(x2292)+~P3(x2291)+P5(f11(x2292,x2291),x2291)+E(x2291,f48(x2292))+P1(f10(x2292,x2291))
% 1.12/1.26 [236]~P3(x2362)+~P3(x2361)+E(x2361,x2362)+P5(f14(x2361,x2362),x2361)+P5(f24(x2361,x2362),x2362)
% 1.12/1.26 [250]~P3(x2502)+~P3(x2501)+E(x2501,x2502)+P5(f14(x2501,x2502),x2501)+~P5(f24(x2501,x2502),x2501)
% 1.12/1.26 [251]~P3(x2512)+~P3(x2511)+E(x2511,x2512)+P5(f24(x2511,x2512),x2512)+~P5(f14(x2511,x2512),x2512)
% 1.12/1.26 [261]~P3(x2612)+~P3(x2611)+E(x2611,x2612)+~P5(f14(x2611,x2612),x2612)+~P5(f24(x2611,x2612),x2611)
% 1.12/1.26 [218]~P1(x2182)+~P1(x2181)+~P8(x2181,a54)+~E(f32(x2181,x2182),a52)+E(f32(x2181,f18(x2181)),a55)
% 1.12/1.26 [219]~P1(x2192)+~P1(x2191)+~P2(x2191,a54)+~E(f32(x2191,x2192),a52)+E(f32(x2191,f18(x2191)),a55)
% 1.12/1.26 [220]~P1(x2202)+~P1(x2201)+~P8(x2201,a52)+~E(f32(x2201,x2202),a54)+E(f32(x2201,f18(x2201)),a55)
% 1.12/1.26 [243]~P1(x2431)+~P1(x2432)+E(x2431,a1)+P9(f33(f8(x2432,x2431)),f33(x2431))+E(f8(x2432,x2431),a1)
% 1.12/1.26 [246]~P1(x2462)+~P3(x2461)+P5(f11(x2462,x2461),x2461)+E(x2461,f48(x2462))+E(f32(x2462,f10(x2462,x2461)),f11(x2462,x2461))
% 1.12/1.26 [194]~P1(x1942)+~P1(x1941)+~P1(x1943)+P8(x1941,x1942)+~E(f32(x1941,x1943),x1942)
% 1.12/1.26 [225]E(x2251,a1)+~E(a34,a1)+~E(f31(x2252,x2253),x2251)+~P5(x2253,f48(a54))+~P5(x2252,f48(a52))
% 1.12/1.26 [227]E(x2271,a1)+~E(f31(x2272,x2273),x2271)+~P5(x2273,f48(a54))+~P5(x2272,f48(a52))+~E(f35(x2271),a1)
% 1.12/1.26 [231]E(x2311,a1)+~E(f31(x2312,x2313),x2311)+~P5(x2313,f48(a54))+~P5(x2312,f48(a52))+E(f31(a36,a37),a34)
% 1.12/1.26 [232]E(x2321,a1)+P5(a34,a53)+~E(f31(x2322,x2323),x2321)+~P5(x2323,f48(a54))+~P5(x2322,f48(a52))
% 1.12/1.26 [234]E(x2341,a1)+~E(f31(x2342,x2343),x2341)+~P5(x2343,f48(a54))+~P5(x2342,f48(a52))+P5(a36,f48(a52))
% 1.12/1.26 [235]E(x2351,a1)+~E(f31(x2352,x2353),x2351)+~P5(x2353,f48(a54))+~P5(x2352,f48(a52))+P5(a37,f48(a54))
% 1.12/1.26 [238]E(x2381,a1)+~E(f31(x2382,x2383),x2381)+~P5(x2383,f48(a54))+~P5(x2382,f48(a52))+P5(f35(x2381),a53)
% 1.12/1.26 [241]E(x2411,a1)+~E(f31(x2412,x2413),x2411)+P5(f40(x2411),f48(a52))+~P5(x2413,f48(a54))+~P5(x2412,f48(a52))
% 1.12/1.26 [242]E(x2421,a1)+~E(f31(x2422,x2423),x2421)+P5(f41(x2421),f48(a54))+~P5(x2423,f48(a54))+~P5(x2422,f48(a52))
% 1.12/1.26 [244]E(x2441,a1)+~E(f31(x2442,x2443),x2441)+~P5(x2443,f48(a54))+~P5(x2442,f48(a52))+E(f31(f40(x2441),f41(x2441)),f35(x2441))
% 1.12/1.26 [249]E(x2491,a1)+~E(f31(x2492,x2493),x2491)+~P5(x2493,f48(a54))+~P5(x2492,f48(a52))+P9(f33(f35(x2491)),f33(x2491))
% 1.12/1.26 [263]~P1(x2632)+~P1(x2631)+~P4(x2633)+P11(x2631,x2632,x2633)+~P5(f31(x2631,f50(x2632)),x2633)
% 1.12/1.26 [265]~P1(x2652)+~P1(x2651)+~P4(x2653)+~P11(x2651,x2652,x2653)+P5(f31(x2651,f50(x2652)),x2653)
% 1.12/1.26 [199]~P1(x1993)+~P1(x1994)+P5(x1991,x1992)+~E(f32(x1993,x1994),x1991)+~E(x1992,f48(x1993))
% 1.12/1.26 [214]~P3(x2144)+~P3(x2142)+~P5(x2141,x2143)+P5(x2141,x2142)+~E(x2143,f47(x2144,x2142))
% 1.12/1.26 [215]~P3(x2154)+~P3(x2152)+~P5(x2151,x2153)+P5(x2151,x2152)+~E(x2153,f47(x2152,x2154))
% 1.12/1.26 [279]~P3(x2792)+~P3(x2791)+~P5(x2794,x2793)+~E(x2793,f49(x2791,x2792))+P5(f38(x2791,x2792,x2793,x2794),x2791)
% 1.12/1.26 [280]~P3(x2802)+~P3(x2801)+~P5(x2804,x2803)+~E(x2803,f49(x2801,x2802))+P5(f43(x2801,x2802,x2803,x2804),x2802)
% 1.12/1.26 [287]~P3(x2872)+~P3(x2871)+~P5(x2874,x2873)+~E(x2873,f49(x2871,x2872))+E(f31(f38(x2871,x2872,x2873,x2874),f43(x2871,x2872,x2873,x2874)),x2874)
% 1.12/1.26 [217]~P1(x2172)+~P1(x2173)+~P1(x2171)+P1(f18(x2171))+~E(f32(x2171,x2172),a52)+~E(f32(x2171,x2173),a54)
% 1.12/1.26 [223]~P1(x2232)+~P1(x2233)+~P1(x2231)+P8(x2231,a55)+~E(f32(x2231,x2232),a52)+~E(f32(x2231,x2233),a54)
% 1.12/1.26 [257]~P1(x2573)+~P1(x2572)+~P3(x2571)+~P5(f11(x2572,x2571),x2571)+~E(f11(x2572,x2571),f32(x2572,x2573))+E(x2571,f48(x2572))
% 1.12/1.26 [269]~P1(x2693)+~P1(x2692)+~P2(x2691,x2693)+~P2(x2691,x2692)+P6(x2691,x2692,x2693)+P2(f13(x2692,x2693,x2691),x2693)
% 1.12/1.26 [270]~P1(x2703)+~P1(x2702)+~P2(x2701,x2703)+~P2(x2701,x2702)+P6(x2701,x2702,x2703)+P2(f13(x2702,x2703,x2701),x2702)
% 1.12/1.26 [271]~P3(x2711)+~P3(x2713)+~P3(x2712)+P5(f42(x2712,x2713,x2711),x2711)+P5(f44(x2712,x2713,x2711),x2712)+E(x2711,f49(x2712,x2713))
% 1.12/1.26 [272]~P3(x2721)+~P3(x2723)+~P3(x2722)+P5(f42(x2722,x2723,x2721),x2721)+P5(f45(x2722,x2723,x2721),x2723)+E(x2721,f49(x2722,x2723))
% 1.12/1.26 [273]~P3(x2731)+~P3(x2733)+~P3(x2732)+P5(f46(x2732,x2733,x2731),x2731)+P5(f46(x2732,x2733,x2731),x2733)+E(x2731,f47(x2732,x2733))
% 1.12/1.26 [274]~P3(x2741)+~P3(x2743)+~P3(x2742)+P5(f46(x2742,x2743,x2741),x2741)+P5(f46(x2742,x2743,x2741),x2742)+E(x2741,f47(x2742,x2743))
% 1.12/1.26 [275]~P1(x2753)+~P1(x2752)+~P2(x2751,x2753)+~P2(x2751,x2752)+P6(x2751,x2752,x2753)+~P8(f13(x2752,x2753,x2751),x2751)
% 1.12/1.26 [226]~P1(x2262)+~P1(x2263)+~P1(x2261)+~E(f32(x2261,x2262),a52)+~E(f32(x2261,x2263),a54)+E(f32(x2261,f18(x2261)),a55)
% 1.12/1.26 [277]~P3(x2771)+~P3(x2773)+~P3(x2772)+P5(f42(x2772,x2773,x2771),x2771)+E(x2771,f49(x2772,x2773))+E(f31(f44(x2772,x2773,x2771),f45(x2772,x2773,x2771)),f42(x2772,x2773,x2771))
% 1.12/1.26 [266]~P2(x2661,x2663)+~P2(x2661,x2664)+~P6(x2662,x2664,x2663)+P8(x2661,x2662)+~P1(x2663)+~P1(x2664)
% 1.12/1.26 [237]~P3(x2374)+~P3(x2373)+~P5(x2371,x2374)+~P5(x2371,x2373)+P5(x2371,x2372)+~E(x2372,f47(x2373,x2374))
% 1.12/1.26 [278]~P1(x2784)+~P1(x2783)+~P4(x2782)+~P4(x2781)+P1(f6(x2781,x2782))+P1(f7(x2781,x2782,x2783,x2784))
% 1.12/1.26 [281]~P1(x2814)+~P1(x2813)+~P4(x2812)+~P4(x2811)+P11(f7(x2811,x2812,x2813,x2814),x2814,x2812)+P1(f6(x2811,x2812))
% 1.12/1.26 [282]~P1(x2824)+~P1(x2823)+~P4(x2822)+~P4(x2821)+P11(f7(x2821,x2822,x2823,x2824),x2823,x2821)+P1(f6(x2821,x2822))
% 1.12/1.26 [284]~P1(x2844)+~P1(x2843)+~P4(x2842)+~P4(x2841)+~P5(f6(x2841,x2842),f49(x2841,x2842))+P1(f7(x2841,x2842,x2843,x2844))
% 1.12/1.26 [285]~P1(x2854)+~P1(x2853)+~P4(x2852)+~P4(x2851)+P11(f7(x2851,x2852,x2853,x2854),x2854,x2852)+~P5(f6(x2851,x2852),f49(x2851,x2852))
% 1.12/1.26 [286]~P1(x2864)+~P1(x2863)+~P4(x2862)+~P4(x2861)+P11(f7(x2861,x2862,x2863,x2864),x2863,x2861)+~P5(f6(x2861,x2862),f49(x2861,x2862))
% 1.12/1.26 [283]~P3(x2831)+~P3(x2833)+~P3(x2832)+~P5(f46(x2832,x2833,x2831),x2831)+~P5(f46(x2832,x2833,x2831),x2833)+~P5(f46(x2832,x2833,x2831),x2832)+E(x2831,f47(x2832,x2833))
% 1.12/1.26 [259]~P5(x2591,a53)+E(x2591,a1)+~E(f31(x2593,x2594),x2592)+E(x2592,a1)+~P5(x2594,f48(a54))+~P5(x2593,f48(a52))+~P9(f33(x2592),f33(a34))
% 1.12/1.26 [252]~P3(x2524)+~P3(x2523)+~P5(x2526,x2524)+~P5(x2525,x2523)+P5(x2521,x2522)+~E(x2522,f49(x2523,x2524))+~E(f31(x2525,x2526),x2521)
% 1.12/1.26 [276]~P3(x2761)+~P3(x2763)+~P3(x2762)+~P5(x2765,x2763)+~P5(x2764,x2762)+~P5(f42(x2762,x2763,x2761),x2761)+E(x2761,f49(x2762,x2763))+~E(f31(x2764,x2765),f42(x2762,x2763,x2761))
% 1.12/1.26 [267]E(x2671,a1)+~E(f31(x2673,x2674),x2671)+E(x2672,a1)+~E(f31(x2675,x2676),x2672)+~P5(x2674,f48(a54))+~P5(x2673,f48(a52))+~P5(x2676,f48(a54))+~P5(x2675,f48(a52))+~P9(f33(x2672),f33(a34))
% 1.12/1.26 %EqnAxiom
% 1.12/1.26 [1]E(x11,x11)
% 1.12/1.26 [2]E(x22,x21)+~E(x21,x22)
% 1.12/1.26 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.12/1.26 [4]~E(x41,x42)+E(f31(x41,x43),f31(x42,x43))
% 1.12/1.26 [5]~E(x51,x52)+E(f31(x53,x51),f31(x53,x52))
% 1.12/1.26 [6]~E(x61,x62)+E(f32(x61,x63),f32(x62,x63))
% 1.12/1.26 [7]~E(x71,x72)+E(f32(x73,x71),f32(x73,x72))
% 1.12/1.26 [8]~E(x81,x82)+E(f44(x81,x83,x84),f44(x82,x83,x84))
% 1.12/1.26 [9]~E(x91,x92)+E(f44(x93,x91,x94),f44(x93,x92,x94))
% 1.12/1.26 [10]~E(x101,x102)+E(f44(x103,x104,x101),f44(x103,x104,x102))
% 1.12/1.26 [11]~E(x111,x112)+E(f42(x111,x113,x114),f42(x112,x113,x114))
% 1.12/1.26 [12]~E(x121,x122)+E(f42(x123,x121,x124),f42(x123,x122,x124))
% 1.12/1.26 [13]~E(x131,x132)+E(f42(x133,x134,x131),f42(x133,x134,x132))
% 1.12/1.26 [14]~E(x141,x142)+E(f49(x141,x143),f49(x142,x143))
% 1.12/1.26 [15]~E(x151,x152)+E(f49(x153,x151),f49(x153,x152))
% 1.12/1.26 [16]~E(x161,x162)+E(f13(x161,x163,x164),f13(x162,x163,x164))
% 1.12/1.26 [17]~E(x171,x172)+E(f13(x173,x171,x174),f13(x173,x172,x174))
% 1.12/1.26 [18]~E(x181,x182)+E(f13(x183,x184,x181),f13(x183,x184,x182))
% 1.12/1.26 [19]~E(x191,x192)+E(f33(x191),f33(x192))
% 1.12/1.26 [20]~E(x201,x202)+E(f48(x201),f48(x202))
% 1.12/1.26 [21]~E(x211,x212)+E(f40(x211),f40(x212))
% 1.12/1.26 [22]~E(x221,x222)+E(f7(x221,x223,x224,x225),f7(x222,x223,x224,x225))
% 1.12/1.26 [23]~E(x231,x232)+E(f7(x233,x231,x234,x235),f7(x233,x232,x234,x235))
% 1.12/1.26 [24]~E(x241,x242)+E(f7(x243,x244,x241,x245),f7(x243,x244,x242,x245))
% 1.12/1.26 [25]~E(x251,x252)+E(f7(x253,x254,x255,x251),f7(x253,x254,x255,x252))
% 1.12/1.26 [26]~E(x261,x262)+E(f38(x261,x263,x264,x265),f38(x262,x263,x264,x265))
% 1.12/1.26 [27]~E(x271,x272)+E(f38(x273,x271,x274,x275),f38(x273,x272,x274,x275))
% 1.12/1.26 [28]~E(x281,x282)+E(f38(x283,x284,x281,x285),f38(x283,x284,x282,x285))
% 1.12/1.26 [29]~E(x291,x292)+E(f38(x293,x294,x295,x291),f38(x293,x294,x295,x292))
% 1.12/1.26 [30]~E(x301,x302)+E(f41(x301),f41(x302))
% 1.12/1.26 [31]~E(x311,x312)+E(f43(x311,x313,x314,x315),f43(x312,x313,x314,x315))
% 1.12/1.26 [32]~E(x321,x322)+E(f43(x323,x321,x324,x325),f43(x323,x322,x324,x325))
% 1.12/1.26 [33]~E(x331,x332)+E(f43(x333,x334,x331,x335),f43(x333,x334,x332,x335))
% 1.12/1.26 [34]~E(x341,x342)+E(f43(x343,x344,x345,x341),f43(x343,x344,x345,x342))
% 1.12/1.26 [35]~E(x351,x352)+E(f14(x351,x353),f14(x352,x353))
% 1.12/1.26 [36]~E(x361,x362)+E(f14(x363,x361),f14(x363,x362))
% 1.12/1.26 [37]~E(x371,x372)+E(f35(x371),f35(x372))
% 1.12/1.26 [38]~E(x381,x382)+E(f18(x381),f18(x382))
% 1.12/1.26 [39]~E(x391,x392)+E(f47(x391,x393),f47(x392,x393))
% 1.12/1.26 [40]~E(x401,x402)+E(f47(x403,x401),f47(x403,x402))
% 1.12/1.26 [41]~E(x411,x412)+E(f24(x411,x413),f24(x412,x413))
% 1.12/1.26 [42]~E(x421,x422)+E(f24(x423,x421),f24(x423,x422))
% 1.12/1.26 [43]~E(x431,x432)+E(f11(x431,x433),f11(x432,x433))
% 1.12/1.26 [44]~E(x441,x442)+E(f11(x443,x441),f11(x443,x442))
% 1.12/1.26 [45]~E(x451,x452)+E(f50(x451),f50(x452))
% 1.12/1.26 [46]~E(x461,x462)+E(f29(x461),f29(x462))
% 1.12/1.26 [47]~E(x471,x472)+E(f8(x471,x473),f8(x472,x473))
% 1.12/1.26 [48]~E(x481,x482)+E(f8(x483,x481),f8(x483,x482))
% 1.12/1.26 [49]~E(x491,x492)+E(f39(x491),f39(x492))
% 1.12/1.26 [50]~E(x501,x502)+E(f3(x501),f3(x502))
% 1.12/1.26 [51]~E(x511,x512)+E(f6(x511,x513),f6(x512,x513))
% 1.12/1.26 [52]~E(x521,x522)+E(f6(x523,x521),f6(x523,x522))
% 1.12/1.26 [53]~E(x531,x532)+E(f46(x531,x533,x534),f46(x532,x533,x534))
% 1.12/1.26 [54]~E(x541,x542)+E(f46(x543,x541,x544),f46(x543,x542,x544))
% 1.12/1.26 [55]~E(x551,x552)+E(f46(x553,x554,x551),f46(x553,x554,x552))
% 1.12/1.26 [56]~E(x561,x562)+E(f4(x561),f4(x562))
% 1.12/1.26 [57]~E(x571,x572)+E(f9(x571,x573),f9(x572,x573))
% 1.12/1.26 [58]~E(x581,x582)+E(f9(x583,x581),f9(x583,x582))
% 1.12/1.26 [59]~E(x591,x592)+E(f28(x591),f28(x592))
% 1.12/1.26 [60]~E(x601,x602)+E(f45(x601,x603,x604),f45(x602,x603,x604))
% 1.12/1.26 [61]~E(x611,x612)+E(f45(x613,x611,x614),f45(x613,x612,x614))
% 1.12/1.26 [62]~E(x621,x622)+E(f45(x623,x624,x621),f45(x623,x624,x622))
% 1.12/1.26 [63]~E(x631,x632)+E(f19(x631),f19(x632))
% 1.12/1.26 [64]~E(x641,x642)+E(f20(x641),f20(x642))
% 1.12/1.26 [65]~E(x651,x652)+E(f10(x651,x653),f10(x652,x653))
% 1.12/1.26 [66]~E(x661,x662)+E(f10(x663,x661),f10(x663,x662))
% 1.12/1.26 [67]~E(x671,x672)+E(f17(x671),f17(x672))
% 1.12/1.26 [68]~E(x681,x682)+E(f21(x681),f21(x682))
% 1.12/1.26 [69]~E(x691,x692)+E(f12(x691,x693,x694),f12(x692,x693,x694))
% 1.12/1.26 [70]~E(x701,x702)+E(f12(x703,x701,x704),f12(x703,x702,x704))
% 1.12/1.26 [71]~E(x711,x712)+E(f12(x713,x714,x711),f12(x713,x714,x712))
% 1.12/1.26 [72]~E(x721,x722)+E(f5(x721,x723),f5(x722,x723))
% 1.12/1.26 [73]~E(x731,x732)+E(f5(x733,x731),f5(x733,x732))
% 1.12/1.26 [74]~P1(x741)+P1(x742)+~E(x741,x742)
% 1.12/1.26 [75]P5(x752,x753)+~E(x751,x752)+~P5(x751,x753)
% 1.12/1.26 [76]P5(x763,x762)+~E(x761,x762)+~P5(x763,x761)
% 1.12/1.26 [77]~P3(x771)+P3(x772)+~E(x771,x772)
% 1.12/1.26 [78]P6(x782,x783,x784)+~E(x781,x782)+~P6(x781,x783,x784)
% 1.12/1.26 [79]P6(x793,x792,x794)+~E(x791,x792)+~P6(x793,x791,x794)
% 1.12/1.26 [80]P6(x803,x804,x802)+~E(x801,x802)+~P6(x803,x804,x801)
% 1.12/1.26 [81]P9(x812,x813)+~E(x811,x812)+~P9(x811,x813)
% 1.12/1.26 [82]P9(x823,x822)+~E(x821,x822)+~P9(x823,x821)
% 1.12/1.26 [83]~P4(x831)+P4(x832)+~E(x831,x832)
% 1.12/1.26 [84]P2(x842,x843)+~E(x841,x842)+~P2(x841,x843)
% 1.12/1.26 [85]P2(x853,x852)+~E(x851,x852)+~P2(x853,x851)
% 1.12/1.26 [86]P11(x862,x863,x864)+~E(x861,x862)+~P11(x861,x863,x864)
% 1.12/1.26 [87]P11(x873,x872,x874)+~E(x871,x872)+~P11(x873,x871,x874)
% 1.12/1.26 [88]P11(x883,x884,x882)+~E(x881,x882)+~P11(x883,x884,x881)
% 1.12/1.26 [89]P8(x892,x893)+~E(x891,x892)+~P8(x891,x893)
% 1.12/1.26 [90]P8(x903,x902)+~E(x901,x902)+~P8(x903,x901)
% 1.12/1.26 [91]P10(x912,x913)+~E(x911,x912)+~P10(x911,x913)
% 1.12/1.26 [92]P10(x923,x922)+~E(x921,x922)+~P10(x923,x921)
% 1.12/1.26 [93]~P7(x931)+P7(x932)+~E(x931,x932)
% 1.12/1.26
% 1.12/1.26 %-------------------------------------------
% 1.12/1.26 cnf(288,plain,
% 1.12/1.26 (E(a27,f31(a26,a30))),
% 1.12/1.26 inference(scs_inference,[],[108,2])).
% 1.12/1.26 cnf(289,plain,
% 1.12/1.26 (P5(a27,a53)),
% 1.12/1.26 inference(scs_inference,[],[108,127,125,2,76])).
% 1.12/1.26 cnf(292,plain,
% 1.12/1.26 (P8(a55,a55)),
% 1.12/1.26 inference(scs_inference,[],[117,118,129,108,127,125,2,76,75,3,191])).
% 1.12/1.26 cnf(296,plain,
% 1.12/1.26 (P8(a52,a1)),
% 1.12/1.26 inference(scs_inference,[],[94,96,99,102,117,118,129,108,109,127,125,2,76,75,3,191,188,194])).
% 1.12/1.26 cnf(308,plain,
% 1.12/1.26 (E(f31(a1,a51),a51)),
% 1.12/1.26 inference(scs_inference,[],[94,95,96,99,102,117,118,129,108,109,127,125,2,76,75,3,191,188,194,167,166,141,140,139,138])).
% 1.12/1.26 cnf(310,plain,
% 1.12/1.26 (E(f32(a1,a1),a1)),
% 1.12/1.26 inference(scs_inference,[],[94,95,96,99,102,117,118,129,108,109,127,125,2,76,75,3,191,188,194,167,166,141,140,139,138,136])).
% 1.12/1.26 cnf(314,plain,
% 1.12/1.26 (P4(f48(a1))),
% 1.12/1.26 inference(scs_inference,[],[94,95,96,99,102,117,118,129,108,109,127,125,2,76,75,3,191,188,194,167,166,141,140,139,138,136,135,133])).
% 1.12/1.26 cnf(373,plain,
% 1.12/1.26 (E(f43(x3731,x3732,x3733,f31(a26,a30)),f43(x3731,x3732,x3733,a27))),
% 1.12/1.26 inference(scs_inference,[],[94,95,96,99,102,117,118,129,108,109,119,120,127,125,2,76,75,3,191,188,194,167,166,141,140,139,138,136,135,133,132,184,183,182,181,158,157,156,155,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34])).
% 1.12/1.26 cnf(374,plain,
% 1.12/1.26 (E(f43(x3741,x3742,f31(a26,a30),x3743),f43(x3741,x3742,a27,x3743))),
% 1.12/1.26 inference(scs_inference,[],[94,95,96,99,102,117,118,129,108,109,119,120,127,125,2,76,75,3,191,188,194,167,166,141,140,139,138,136,135,133,132,184,183,182,181,158,157,156,155,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33])).
% 1.12/1.26 cnf(387,plain,
% 1.12/1.26 (E(f48(f31(a26,a30)),f48(a27))),
% 1.12/1.26 inference(scs_inference,[],[94,95,96,99,102,117,118,129,108,109,119,120,127,125,2,76,75,3,191,188,194,167,166,141,140,139,138,136,135,133,132,184,183,182,181,158,157,156,155,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20])).
% 1.12/1.26 cnf(388,plain,
% 1.12/1.26 (E(f33(f31(a26,a30)),f33(a27))),
% 1.12/1.26 inference(scs_inference,[],[94,95,96,99,102,117,118,129,108,109,119,120,127,125,2,76,75,3,191,188,194,167,166,141,140,139,138,136,135,133,132,184,183,182,181,158,157,156,155,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19])).
% 1.12/1.26 cnf(400,plain,
% 1.12/1.26 (E(f32(x4001,f31(a26,a30)),f32(x4001,a27))),
% 1.12/1.26 inference(scs_inference,[],[94,95,96,99,102,117,118,129,108,109,119,120,127,125,2,76,75,3,191,188,194,167,166,141,140,139,138,136,135,133,132,184,183,182,181,158,157,156,155,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7])).
% 1.12/1.26 cnf(403,plain,
% 1.12/1.26 (E(f31(f31(a26,a30),x4031),f31(a27,x4031))),
% 1.12/1.26 inference(scs_inference,[],[94,95,96,99,102,117,118,129,108,109,119,120,127,125,2,76,75,3,191,188,194,167,166,141,140,139,138,136,135,133,132,184,183,182,181,158,157,156,155,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 1.12/1.26 cnf(415,plain,
% 1.12/1.26 (P1(a27)),
% 1.12/1.26 inference(scs_inference,[],[94,95,96,99,102,106,107,117,118,129,108,109,119,120,127,125,2,76,75,3,191,188,194,167,166,141,140,139,138,136,135,133,132,184,183,182,181,158,157,156,155,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,185,146,145,144,143,83,151])).
% 1.12/1.26 cnf(417,plain,
% 1.12/1.26 (P3(f48(f31(a26,a30)))),
% 1.12/1.26 inference(scs_inference,[],[94,95,96,99,102,106,107,117,118,129,108,109,119,120,127,125,2,76,75,3,191,188,194,167,166,141,140,139,138,136,135,133,132,184,183,182,181,158,157,156,155,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,185,146,145,144,143,83,151,137])).
% 1.12/1.26 cnf(419,plain,
% 1.12/1.26 (P5(f31(a27,a27),a53)),
% 1.12/1.26 inference(scs_inference,[],[94,95,96,99,102,106,107,117,118,129,108,109,119,120,127,125,2,76,75,3,191,188,194,167,166,141,140,139,138,136,135,133,132,184,183,182,181,158,157,156,155,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,185,146,145,144,143,83,151,137,222])).
% 1.12/1.26 cnf(421,plain,
% 1.12/1.26 (P5(f32(a1,a27),a53)),
% 1.12/1.26 inference(scs_inference,[],[94,95,96,99,102,106,107,117,118,129,108,109,119,120,127,125,2,76,75,3,191,188,194,167,166,141,140,139,138,136,135,133,132,184,183,182,181,158,157,156,155,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,185,146,145,144,143,83,151,137,222,203])).
% 1.12/1.26 cnf(466,plain,
% 1.12/1.26 (P1(f31(a26,a30))),
% 1.12/1.26 inference(scs_inference,[],[417,387,288,415,77,74])).
% 1.12/1.26 cnf(468,plain,
% 1.12/1.26 (E(f32(x4681,f31(a26,a30)),f32(x4681,a27))),
% 1.12/1.26 inference(rename_variables,[],[400])).
% 1.12/1.26 cnf(488,plain,
% 1.12/1.26 (P5(f32(a1,f31(a27,a27)),a53)),
% 1.12/1.26 inference(scs_inference,[],[94,100,128,106,400,468,417,387,419,314,288,308,415,77,74,178,176,131,151,222,172,171,170,169,3,203])).
% 1.12/1.26 cnf(506,plain,
% 1.12/1.26 (~E(a51,a1)),
% 1.12/1.26 inference(scs_inference,[],[94,100,128,106,99,107,292,400,468,417,387,419,314,288,308,421,415,77,74,178,176,131,151,222,172,171,170,169,3,203,233,216,204,240,239,255,254,221,2])).
% 1.12/1.26 cnf(515,plain,
% 1.12/1.26 (~E(f32(a51,a51),a1)),
% 1.12/1.26 inference(scs_inference,[],[94,100,128,95,106,99,107,292,400,468,417,387,419,314,288,308,421,415,77,74,178,176,131,151,222,172,171,170,169,3,203,233,216,204,240,239,255,254,221,2,150,180,179,258,159])).
% 1.12/1.26 cnf(553,plain,
% 1.12/1.26 (P8(a1,a1)),
% 1.12/1.26 inference(scs_inference,[],[95,97,116,99,506,310,94,134,204,240,194])).
% 1.12/1.26 cnf(568,plain,
% 1.12/1.26 (E(a52,f32(a52,a22))),
% 1.12/1.26 inference(scs_inference,[],[95,110,97,116,107,99,373,374,488,506,310,94,134,204,240,194,3,239,255,254,216,221,2])).
% 1.12/1.26 cnf(570,plain,
% 1.12/1.26 (P5(f32(a27,a27),f48(f31(a26,a30)))),
% 1.12/1.26 inference(scs_inference,[],[95,110,97,116,107,99,373,374,488,466,506,310,400,415,387,94,134,204,240,194,3,239,255,254,216,221,2,93,199])).
% 1.12/1.26 cnf(573,plain,
% 1.12/1.26 (E(f31(f32(f5(a51,a51),a51),f8(a51,a51)),a51)),
% 1.12/1.26 inference(scs_inference,[],[95,110,97,116,107,99,373,374,488,466,506,310,400,415,387,94,134,204,240,194,3,239,255,254,216,221,2,93,199,258])).
% 1.12/1.26 cnf(596,plain,
% 1.12/1.26 (P10(a51,a51)+~E(a34,a1)+E(a27,a1)),
% 1.12/1.26 inference(scs_inference,[],[95,121,122,123,124,110,97,116,107,99,108,373,374,488,403,466,515,506,310,400,415,387,94,134,204,240,194,3,239,255,254,216,221,2,93,199,258,180,179,195,189,245,228,262,264,224,232,225])).
% 1.12/1.26 cnf(608,plain,
% 1.12/1.26 (P8(a52,a52)),
% 1.12/1.26 inference(scs_inference,[],[103,126,110,115,96,117,570,553,568,296,415,387,94,188,90,89,85,262,74,79,194])).
% 1.12/1.26 cnf(611,plain,
% 1.12/1.26 (~E(a27,a1)),
% 1.12/1.26 inference(scs_inference,[],[103,111,126,129,110,115,96,117,570,553,568,296,515,415,387,94,188,90,89,85,262,74,79,194,3,2])).
% 1.12/1.26 cnf(613,plain,
% 1.12/1.26 (P5(a37,f48(a54))),
% 1.12/1.26 inference(scs_inference,[],[103,111,126,129,123,124,110,115,96,117,108,570,553,568,296,515,415,387,94,188,90,89,85,262,74,79,194,3,2,596,235])).
% 1.12/1.26 cnf(615,plain,
% 1.12/1.26 (P5(a36,f48(a52))),
% 1.12/1.26 inference(scs_inference,[],[103,111,126,129,123,124,110,115,96,117,108,570,553,568,296,515,415,387,94,188,90,89,85,262,74,79,194,3,2,596,235,234])).
% 1.12/1.26 cnf(617,plain,
% 1.12/1.26 (E(f31(a36,a37),a34)),
% 1.12/1.26 inference(scs_inference,[],[103,111,126,129,123,124,110,115,96,117,108,570,553,568,296,515,415,387,94,188,90,89,85,262,74,79,194,3,2,596,235,234,231])).
% 1.12/1.26 cnf(619,plain,
% 1.12/1.26 (P5(f35(a27),a53)),
% 1.12/1.26 inference(scs_inference,[],[103,111,126,129,123,124,110,115,96,117,108,570,553,568,296,515,415,387,94,188,90,89,85,262,74,79,194,3,2,596,235,234,231,238])).
% 1.12/1.26 cnf(621,plain,
% 1.12/1.26 (~E(f35(a27),a1)),
% 1.12/1.26 inference(scs_inference,[],[103,111,126,129,123,124,110,115,96,117,108,570,553,568,296,515,415,387,94,188,90,89,85,262,74,79,194,3,2,596,235,234,231,238,227])).
% 1.12/1.26 cnf(629,plain,
% 1.12/1.26 (~P9(f33(f31(a26,a30)),f33(a34))),
% 1.12/1.26 inference(scs_inference,[],[103,111,126,129,123,124,110,115,96,117,108,388,570,289,553,568,296,515,415,387,94,188,90,89,85,262,74,79,194,3,2,596,235,234,231,238,227,249,244,224,81])).
% 1.12/1.26 cnf(630,plain,
% 1.12/1.26 (~E(a34,a1)),
% 1.12/1.26 inference(scs_inference,[],[103,111,126,129,123,124,110,115,96,117,108,388,570,289,553,568,296,515,415,387,94,188,90,89,85,262,74,79,194,3,2,596,235,234,231,238,227,249,244,224,81,142])).
% 1.12/1.26 cnf(663,plain,
% 1.12/1.26 (P9(f33(f35(a34)),f33(a34))),
% 1.12/1.26 inference(scs_inference,[],[289,630,611,150,174,195])).
% 1.12/1.26 cnf(665,plain,
% 1.12/1.26 (~E(f35(a34),a1)),
% 1.12/1.26 inference(scs_inference,[],[289,630,611,613,615,617,150,174,195,227])).
% 1.12/1.26 cnf(669,plain,
% 1.12/1.26 (P5(f35(f35(a27)),a53)),
% 1.12/1.26 inference(scs_inference,[],[289,630,619,621,611,613,615,617,150,174,195,227,173,160])).
% 1.12/1.26 cnf(671,plain,
% 1.12/1.26 (~E(f35(f35(a27)),a1)),
% 1.12/1.26 inference(scs_inference,[],[289,630,619,621,611,613,615,617,150,174,195,227,173,160,147])).
% 1.12/1.26 cnf(675,plain,
% 1.12/1.26 (P5(f35(a34),a53)),
% 1.12/1.26 inference(scs_inference,[],[289,630,619,621,611,613,615,617,150,174,195,227,173,160,147,189,238])).
% 1.12/1.26 cnf(685,plain,
% 1.12/1.26 (P2(a52,a52)),
% 1.12/1.26 inference(scs_inference,[],[96,289,630,619,621,608,611,613,615,617,415,150,174,195,227,173,160,147,189,238,224,179,258,159,188])).
% 1.12/1.26 cnf(693,plain,
% 1.12/1.26 (E(a54,f32(a55,a15))),
% 1.12/1.26 inference(scs_inference,[],[96,114,128,289,107,573,629,630,619,621,608,611,613,615,617,415,150,174,195,227,173,160,147,189,238,224,179,258,159,188,180,233,81,3,2])).
% 1.12/1.26 cnf(721,plain,
% 1.12/1.26 ($false),
% 1.12/1.26 inference(scs_inference,[],[113,126,663,669,685,671,665,675,693,568,80,84,19,224]),
% 1.12/1.26 ['proof']).
% 1.12/1.26 % SZS output end Proof
% 1.12/1.26 % Total time :0.530000s
%------------------------------------------------------------------------------