TSTP Solution File: NUM456+6 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM456+6 : 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 : n003.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 10:22:13 EDT 2023
% Result : Theorem 0.77s 0.84s
% Output : CNFRefutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NUM456+6 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Aug 25 16:22:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.77/0.83 %-------------------------------------------
% 0.77/0.83 % File :CSE---1.6
% 0.77/0.83 % Problem :theBenchmark
% 0.77/0.83 % Transform :cnf
% 0.77/0.83 % Format :tptp:raw
% 0.77/0.83 % Command :java -jar mcs_scs.jar %d %s
% 0.77/0.83
% 0.77/0.83 % Result :Theorem 0.140000s
% 0.77/0.83 % Output :CNFRefutation 0.140000s
% 0.77/0.83 %-------------------------------------------
% 0.77/0.83 %------------------------------------------------------------------------------
% 0.77/0.83 % File : NUM456+6 : TPTP v8.1.2. Released v4.0.0.
% 0.77/0.83 % Domain : Number Theory
% 0.77/0.83 % Problem : Fuerstenberg's infinitude of primes 11_05, 05 expansion
% 0.77/0.83 % Version : Especial.
% 0.77/0.83 % English :
% 0.77/0.83
% 0.77/0.83 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.77/0.83 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.77/0.83 % Source : [Pas08]
% 0.77/0.83 % Names : fuerst_11_05.05 [Pas08]
% 0.77/0.83
% 0.77/0.83 % Status : ContradictoryAxioms
% 0.77/0.83 % Rating : 0.19 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.29 v7.3.0, 0.00 v7.0.0, 0.17 v6.4.0, 0.19 v6.3.0, 0.12 v6.2.0, 0.16 v6.1.0, 0.23 v6.0.0, 0.13 v5.5.0, 0.33 v5.4.0, 0.36 v5.3.0, 0.44 v5.2.0, 0.30 v5.1.0, 0.38 v5.0.0, 0.46 v4.1.0, 0.57 v4.0.1, 0.78 v4.0.0
% 0.77/0.83 % Syntax : Number of formulae : 48 ( 4 unt; 10 def)
% 0.77/0.83 % Number of atoms : 330 ( 62 equ)
% 0.77/0.83 % Maximal formula atoms : 56 ( 6 avg)
% 0.77/0.83 % Number of connectives : 306 ( 24 ~; 15 |; 173 &)
% 0.77/0.83 % ( 25 <=>; 69 =>; 0 <=; 0 <~>)
% 0.77/0.83 % Maximal formula depth : 24 ( 7 avg)
% 0.77/0.83 % Maximal term depth : 3 ( 1 avg)
% 0.77/0.83 % Number of predicates : 13 ( 10 usr; 2 prp; 0-3 aty)
% 0.77/0.83 % Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% 0.77/0.83 % Number of variables : 129 ( 105 !; 24 ?)
% 0.77/0.83 % SPC : FOF_CAX_RFO_SEQ
% 0.77/0.83
% 0.77/0.83 % Comments : Problem generated by the SAD system [VLP07]
% 0.77/0.83 %------------------------------------------------------------------------------
% 0.77/0.83 fof(mIntegers,axiom,
% 0.77/0.83 ! [W0] :
% 0.77/0.83 ( aInteger0(W0)
% 0.77/0.83 => $true ) ).
% 0.77/0.83
% 0.77/0.83 fof(mIntZero,axiom,
% 0.77/0.83 aInteger0(sz00) ).
% 0.77/0.83
% 0.77/0.83 fof(mIntOne,axiom,
% 0.77/0.83 aInteger0(sz10) ).
% 0.77/0.83
% 0.77/0.83 fof(mIntNeg,axiom,
% 0.77/0.83 ! [W0] :
% 0.77/0.83 ( aInteger0(W0)
% 0.77/0.83 => aInteger0(smndt0(W0)) ) ).
% 0.77/0.83
% 0.77/0.83 fof(mIntPlus,axiom,
% 0.77/0.83 ! [W0,W1] :
% 0.77/0.83 ( ( aInteger0(W0)
% 0.77/0.83 & aInteger0(W1) )
% 0.77/0.83 => aInteger0(sdtpldt0(W0,W1)) ) ).
% 0.77/0.83
% 0.77/0.83 fof(mIntMult,axiom,
% 0.77/0.83 ! [W0,W1] :
% 0.77/0.83 ( ( aInteger0(W0)
% 0.77/0.83 & aInteger0(W1) )
% 0.77/0.83 => aInteger0(sdtasdt0(W0,W1)) ) ).
% 0.77/0.83
% 0.77/0.83 fof(mAddAsso,axiom,
% 0.77/0.83 ! [W0,W1,W2] :
% 0.77/0.83 ( ( aInteger0(W0)
% 0.77/0.83 & aInteger0(W1)
% 0.77/0.83 & aInteger0(W2) )
% 0.77/0.83 => sdtpldt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtpldt0(W0,W1),W2) ) ).
% 0.77/0.83
% 0.77/0.83 fof(mAddComm,axiom,
% 0.77/0.83 ! [W0,W1] :
% 0.77/0.83 ( ( aInteger0(W0)
% 0.77/0.83 & aInteger0(W1) )
% 0.77/0.83 => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 0.77/0.83
% 0.77/0.83 fof(mAddZero,axiom,
% 0.77/0.83 ! [W0] :
% 0.77/0.83 ( aInteger0(W0)
% 0.77/0.83 => ( sdtpldt0(W0,sz00) = W0
% 0.77/0.83 & W0 = sdtpldt0(sz00,W0) ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(mAddNeg,axiom,
% 0.77/0.83 ! [W0] :
% 0.77/0.83 ( aInteger0(W0)
% 0.77/0.83 => ( sdtpldt0(W0,smndt0(W0)) = sz00
% 0.77/0.83 & sz00 = sdtpldt0(smndt0(W0),W0) ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(mMulAsso,axiom,
% 0.77/0.83 ! [W0,W1,W2] :
% 0.77/0.83 ( ( aInteger0(W0)
% 0.77/0.83 & aInteger0(W1)
% 0.77/0.83 & aInteger0(W2) )
% 0.77/0.83 => sdtasdt0(W0,sdtasdt0(W1,W2)) = sdtasdt0(sdtasdt0(W0,W1),W2) ) ).
% 0.77/0.83
% 0.77/0.83 fof(mMulComm,axiom,
% 0.77/0.83 ! [W0,W1] :
% 0.77/0.83 ( ( aInteger0(W0)
% 0.77/0.83 & aInteger0(W1) )
% 0.77/0.83 => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 0.77/0.83
% 0.77/0.83 fof(mMulOne,axiom,
% 0.77/0.83 ! [W0] :
% 0.77/0.83 ( aInteger0(W0)
% 0.77/0.83 => ( sdtasdt0(W0,sz10) = W0
% 0.77/0.83 & W0 = sdtasdt0(sz10,W0) ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(mDistrib,axiom,
% 0.77/0.83 ! [W0,W1,W2] :
% 0.77/0.83 ( ( aInteger0(W0)
% 0.77/0.83 & aInteger0(W1)
% 0.77/0.83 & aInteger0(W2) )
% 0.77/0.83 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 0.77/0.83 & sdtasdt0(sdtpldt0(W0,W1),W2) = sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)) ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(mMulZero,axiom,
% 0.77/0.83 ! [W0] :
% 0.77/0.83 ( aInteger0(W0)
% 0.77/0.83 => ( sdtasdt0(W0,sz00) = sz00
% 0.77/0.83 & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(mMulMinOne,axiom,
% 0.77/0.83 ! [W0] :
% 0.77/0.83 ( aInteger0(W0)
% 0.77/0.83 => ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)
% 0.77/0.83 & smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(mZeroDiv,axiom,
% 0.77/0.83 ! [W0,W1] :
% 0.77/0.83 ( ( aInteger0(W0)
% 0.77/0.83 & aInteger0(W1) )
% 0.77/0.83 => ( sdtasdt0(W0,W1) = sz00
% 0.77/0.83 => ( W0 = sz00
% 0.77/0.83 | W1 = sz00 ) ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(mDivisor,definition,
% 0.77/0.83 ! [W0] :
% 0.77/0.83 ( aInteger0(W0)
% 0.77/0.83 => ! [W1] :
% 0.77/0.83 ( aDivisorOf0(W1,W0)
% 0.77/0.83 <=> ( aInteger0(W1)
% 0.77/0.83 & W1 != sz00
% 0.77/0.83 & ? [W2] :
% 0.77/0.83 ( aInteger0(W2)
% 0.77/0.83 & sdtasdt0(W1,W2) = W0 ) ) ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(mEquMod,definition,
% 0.77/0.83 ! [W0,W1,W2] :
% 0.77/0.83 ( ( aInteger0(W0)
% 0.77/0.83 & aInteger0(W1)
% 0.77/0.83 & aInteger0(W2)
% 0.77/0.83 & W2 != sz00 )
% 0.77/0.83 => ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
% 0.77/0.83 <=> aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))) ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(mEquModRef,axiom,
% 0.77/0.83 ! [W0,W1] :
% 0.77/0.83 ( ( aInteger0(W0)
% 0.77/0.83 & aInteger0(W1)
% 0.77/0.83 & W1 != sz00 )
% 0.77/0.83 => sdteqdtlpzmzozddtrp0(W0,W0,W1) ) ).
% 0.77/0.83
% 0.77/0.83 fof(mEquModSym,axiom,
% 0.77/0.83 ! [W0,W1,W2] :
% 0.77/0.83 ( ( aInteger0(W0)
% 0.77/0.83 & aInteger0(W1)
% 0.77/0.83 & aInteger0(W2)
% 0.77/0.83 & W2 != sz00 )
% 0.77/0.83 => ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
% 0.77/0.83 => sdteqdtlpzmzozddtrp0(W1,W0,W2) ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(mEquModTrn,axiom,
% 0.77/0.83 ! [W0,W1,W2,W3] :
% 0.77/0.83 ( ( aInteger0(W0)
% 0.77/0.83 & aInteger0(W1)
% 0.77/0.83 & aInteger0(W2)
% 0.77/0.83 & W2 != sz00
% 0.77/0.83 & aInteger0(W3) )
% 0.77/0.83 => ( ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
% 0.77/0.83 & sdteqdtlpzmzozddtrp0(W1,W3,W2) )
% 0.77/0.83 => sdteqdtlpzmzozddtrp0(W0,W3,W2) ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(mEquModMul,axiom,
% 0.77/0.83 ! [W0,W1,W2,W3] :
% 0.77/0.83 ( ( aInteger0(W0)
% 0.77/0.83 & aInteger0(W1)
% 0.77/0.83 & aInteger0(W2)
% 0.77/0.83 & W2 != sz00
% 0.77/0.83 & aInteger0(W3)
% 0.77/0.83 & W3 != sz00 )
% 0.77/0.83 => ( sdteqdtlpzmzozddtrp0(W0,W1,sdtasdt0(W2,W3))
% 0.77/0.83 => ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
% 0.77/0.83 & sdteqdtlpzmzozddtrp0(W0,W1,W3) ) ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(mPrime,axiom,
% 0.77/0.83 ! [W0] :
% 0.77/0.83 ( ( aInteger0(W0)
% 0.77/0.83 & W0 != sz00 )
% 0.77/0.83 => ( isPrime0(W0)
% 0.77/0.83 => $true ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(mPrimeDivisor,axiom,
% 0.77/0.83 ! [W0] :
% 0.77/0.83 ( aInteger0(W0)
% 0.77/0.83 => ( ? [W1] :
% 0.77/0.83 ( aDivisorOf0(W1,W0)
% 0.77/0.83 & isPrime0(W1) )
% 0.77/0.83 <=> ( W0 != sz10
% 0.77/0.83 & W0 != smndt0(sz10) ) ) ) ).
% 0.77/0.83
% 0.77/0.83 fof(mSets,axiom,
% 0.77/0.83 ! [W0] :
% 0.77/0.83 ( aSet0(W0)
% 0.77/0.84 => $true ) ).
% 0.77/0.84
% 0.77/0.84 fof(mElements,axiom,
% 0.77/0.84 ! [W0] :
% 0.77/0.84 ( aSet0(W0)
% 0.77/0.84 => ! [W1] :
% 0.77/0.84 ( aElementOf0(W1,W0)
% 0.77/0.84 => $true ) ) ).
% 0.77/0.84
% 0.77/0.84 fof(mSubset,definition,
% 0.77/0.84 ! [W0] :
% 0.77/0.84 ( aSet0(W0)
% 0.77/0.84 => ! [W1] :
% 0.77/0.84 ( aSubsetOf0(W1,W0)
% 0.77/0.84 <=> ( aSet0(W1)
% 0.77/0.84 & ! [W2] :
% 0.77/0.84 ( aElementOf0(W2,W1)
% 0.77/0.84 => aElementOf0(W2,W0) ) ) ) ) ).
% 0.77/0.84
% 0.77/0.84 fof(mFinSet,axiom,
% 0.77/0.84 ! [W0] :
% 0.77/0.84 ( aSet0(W0)
% 0.77/0.84 => ( isFinite0(W0)
% 0.77/0.84 => $true ) ) ).
% 0.77/0.84
% 0.77/0.84 fof(mUnion,definition,
% 0.77/0.84 ! [W0,W1] :
% 0.77/0.84 ( ( aSubsetOf0(W0,cS1395)
% 0.77/0.84 & aSubsetOf0(W1,cS1395) )
% 0.77/0.84 => ! [W2] :
% 0.77/0.84 ( W2 = sdtbsmnsldt0(W0,W1)
% 0.77/0.84 <=> ( aSet0(W2)
% 0.77/0.84 & ! [W3] :
% 0.77/0.84 ( aElementOf0(W3,W2)
% 0.77/0.84 <=> ( aInteger0(W3)
% 0.77/0.84 & ( aElementOf0(W3,W0)
% 0.77/0.84 | aElementOf0(W3,W1) ) ) ) ) ) ) ).
% 0.77/0.84
% 0.77/0.84 fof(mIntersection,definition,
% 0.77/0.84 ! [W0,W1] :
% 0.77/0.84 ( ( aSubsetOf0(W0,cS1395)
% 0.77/0.84 & aSubsetOf0(W1,cS1395) )
% 0.77/0.84 => ! [W2] :
% 0.77/0.84 ( W2 = sdtslmnbsdt0(W0,W1)
% 0.77/0.84 <=> ( aSet0(W2)
% 0.77/0.84 & ! [W3] :
% 0.77/0.84 ( aElementOf0(W3,W2)
% 0.77/0.84 <=> ( aInteger0(W3)
% 0.77/0.84 & aElementOf0(W3,W0)
% 0.77/0.84 & aElementOf0(W3,W1) ) ) ) ) ) ).
% 0.77/0.84
% 0.77/0.84 fof(mUnionSet,definition,
% 0.77/0.84 ! [W0] :
% 0.77/0.84 ( ( aSet0(W0)
% 0.77/0.84 & ! [W1] :
% 0.77/0.84 ( aElementOf0(W1,W0)
% 0.77/0.84 => aSubsetOf0(W1,cS1395) ) )
% 0.77/0.84 => ! [W1] :
% 0.77/0.84 ( W1 = sbsmnsldt0(W0)
% 0.77/0.84 <=> ( aSet0(W1)
% 0.77/0.84 & ! [W2] :
% 0.77/0.84 ( aElementOf0(W2,W1)
% 0.77/0.84 <=> ( aInteger0(W2)
% 0.77/0.84 & ? [W3] :
% 0.77/0.84 ( aElementOf0(W3,W0)
% 0.77/0.84 & aElementOf0(W2,W3) ) ) ) ) ) ) ).
% 0.77/0.84
% 0.77/0.84 fof(mComplement,definition,
% 0.77/0.84 ! [W0] :
% 0.77/0.84 ( aSubsetOf0(W0,cS1395)
% 0.77/0.84 => ! [W1] :
% 0.77/0.84 ( W1 = stldt0(W0)
% 0.77/0.84 <=> ( aSet0(W1)
% 0.77/0.84 & ! [W2] :
% 0.77/0.84 ( aElementOf0(W2,W1)
% 0.77/0.84 <=> ( aInteger0(W2)
% 0.77/0.84 & ~ aElementOf0(W2,W0) ) ) ) ) ) ).
% 0.77/0.84
% 0.77/0.84 fof(mArSeq,definition,
% 0.77/0.84 ! [W0,W1] :
% 0.77/0.84 ( ( aInteger0(W0)
% 0.77/0.84 & aInteger0(W1)
% 0.77/0.84 & W1 != sz00 )
% 0.77/0.84 => ! [W2] :
% 0.77/0.84 ( W2 = szAzrzSzezqlpdtcmdtrp0(W0,W1)
% 0.77/0.84 <=> ( aSet0(W2)
% 0.77/0.84 & ! [W3] :
% 0.77/0.84 ( aElementOf0(W3,W2)
% 0.77/0.84 <=> ( aInteger0(W3)
% 0.77/0.84 & sdteqdtlpzmzozddtrp0(W3,W0,W1) ) ) ) ) ) ).
% 0.77/0.84
% 0.77/0.84 fof(mOpen,definition,
% 0.77/0.84 ! [W0] :
% 0.77/0.84 ( aSubsetOf0(W0,cS1395)
% 0.77/0.84 => ( isOpen0(W0)
% 0.77/0.84 <=> ! [W1] :
% 0.77/0.84 ( aElementOf0(W1,W0)
% 0.77/0.84 => ? [W2] :
% 0.77/0.84 ( aInteger0(W2)
% 0.77/0.84 & W2 != sz00
% 0.77/0.84 & aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W1,W2),W0) ) ) ) ) ).
% 0.77/0.84
% 0.77/0.84 fof(mClosed,definition,
% 0.77/0.84 ! [W0] :
% 0.77/0.84 ( aSubsetOf0(W0,cS1395)
% 0.77/0.84 => ( isClosed0(W0)
% 0.77/0.84 <=> isOpen0(stldt0(W0)) ) ) ).
% 0.77/0.84
% 0.77/0.84 fof(mUnionOpen,axiom,
% 0.77/0.84 ! [W0] :
% 0.77/0.84 ( ( aSet0(W0)
% 0.77/0.84 & ! [W1] :
% 0.77/0.84 ( aElementOf0(W1,W0)
% 0.77/0.84 => ( aSubsetOf0(W1,cS1395)
% 0.77/0.84 & isOpen0(W1) ) ) )
% 0.77/0.84 => isOpen0(sbsmnsldt0(W0)) ) ).
% 0.77/0.84
% 0.77/0.84 fof(mInterOpen,axiom,
% 0.77/0.84 ! [W0,W1] :
% 0.77/0.84 ( ( aSubsetOf0(W0,cS1395)
% 0.77/0.84 & aSubsetOf0(W1,cS1395)
% 0.77/0.84 & isOpen0(W0)
% 0.77/0.84 & isOpen0(W1) )
% 0.77/0.84 => isOpen0(sdtslmnbsdt0(W0,W1)) ) ).
% 0.77/0.84
% 0.77/0.84 fof(mUnionClosed,axiom,
% 0.77/0.84 ! [W0,W1] :
% 0.77/0.84 ( ( aSubsetOf0(W0,cS1395)
% 0.77/0.84 & aSubsetOf0(W1,cS1395)
% 0.77/0.84 & isClosed0(W0)
% 0.77/0.84 & isClosed0(W1) )
% 0.77/0.84 => isClosed0(sdtbsmnsldt0(W0,W1)) ) ).
% 0.77/0.84
% 0.77/0.84 fof(mUnionSClosed,axiom,
% 0.77/0.84 ! [W0] :
% 0.77/0.84 ( ( aSet0(W0)
% 0.77/0.84 & isFinite0(W0)
% 0.77/0.84 & ! [W1] :
% 0.77/0.84 ( aElementOf0(W1,W0)
% 0.77/0.84 => ( aSubsetOf0(W1,cS1395)
% 0.77/0.84 & isClosed0(W1) ) ) )
% 0.77/0.84 => isClosed0(sbsmnsldt0(W0)) ) ).
% 0.77/0.84
% 0.77/0.84 fof(mArSeqClosed,axiom,
% 0.77/0.84 ! [W0,W1] :
% 0.77/0.84 ( ( aInteger0(W0)
% 0.77/0.84 & aInteger0(W1)
% 0.77/0.84 & W1 != sz00 )
% 0.77/0.84 => ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,W1),cS1395)
% 0.77/0.84 & isClosed0(szAzrzSzezqlpdtcmdtrp0(W0,W1)) ) ) ).
% 0.77/0.84
% 0.77/0.84 fof(m__2046,hypothesis,
% 0.77/0.84 ( aSet0(xS)
% 0.77/0.84 & ! [W0] :
% 0.77/0.84 ( ( aElementOf0(W0,xS)
% 0.77/0.84 => ? [W1] :
% 0.77/0.84 ( aInteger0(W1)
% 0.77/0.84 & W1 != sz00
% 0.77/0.84 & isPrime0(W1)
% 0.77/0.84 & aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,W1))
% 0.77/0.84 & ! [W2] :
% 0.77/0.84 ( ( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,W1))
% 0.77/0.84 => ( aInteger0(W2)
% 0.77/0.84 & ? [W3] :
% 0.77/0.84 ( aInteger0(W3)
% 0.77/0.84 & sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(sz00)) )
% 0.77/0.84 & aDivisorOf0(W1,sdtpldt0(W2,smndt0(sz00)))
% 0.77/0.84 & sdteqdtlpzmzozddtrp0(W2,sz00,W1) ) )
% 0.77/0.84 & ( ( aInteger0(W2)
% 0.77/0.84 & ( ? [W3] :
% 0.77/0.84 ( aInteger0(W3)
% 0.77/0.84 & sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(sz00)) )
% 0.77/0.84 | aDivisorOf0(W1,sdtpldt0(W2,smndt0(sz00)))
% 0.77/0.84 | sdteqdtlpzmzozddtrp0(W2,sz00,W1) ) )
% 0.77/0.84 => aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,W1)) ) )
% 0.77/0.84 & szAzrzSzezqlpdtcmdtrp0(sz00,W1) = W0 ) )
% 0.77/0.84 & ( ? [W1] :
% 0.77/0.84 ( aInteger0(W1)
% 0.77/0.84 & W1 != sz00
% 0.77/0.84 & isPrime0(W1)
% 0.77/0.84 & ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,W1))
% 0.77/0.84 & ! [W2] :
% 0.77/0.84 ( ( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,W1))
% 0.77/0.84 => ( aInteger0(W2)
% 0.77/0.84 & ? [W3] :
% 0.77/0.84 ( aInteger0(W3)
% 0.77/0.84 & sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(sz00)) )
% 0.77/0.84 & aDivisorOf0(W1,sdtpldt0(W2,smndt0(sz00)))
% 0.77/0.84 & sdteqdtlpzmzozddtrp0(W2,sz00,W1) ) )
% 0.77/0.84 & ( ( aInteger0(W2)
% 0.77/0.84 & ( ? [W3] :
% 0.77/0.84 ( aInteger0(W3)
% 0.77/0.84 & sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(sz00)) )
% 0.77/0.84 | aDivisorOf0(W1,sdtpldt0(W2,smndt0(sz00)))
% 0.77/0.84 | sdteqdtlpzmzozddtrp0(W2,sz00,W1) ) )
% 0.77/0.84 => aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,W1)) ) ) )
% 0.77/0.84 => szAzrzSzezqlpdtcmdtrp0(sz00,W1) = W0 ) )
% 0.77/0.84 => aElementOf0(W0,xS) ) )
% 0.77/0.84 & xS = cS2043 ) ).
% 0.77/0.84
% 0.77/0.84 fof(m__2079,hypothesis,
% 0.77/0.84 ( aSet0(sbsmnsldt0(xS))
% 0.77/0.84 & ! [W0] :
% 0.77/0.84 ( aElementOf0(W0,sbsmnsldt0(xS))
% 0.77/0.84 <=> ( aInteger0(W0)
% 0.77/0.84 & ? [W1] :
% 0.77/0.84 ( aElementOf0(W1,xS)
% 0.77/0.84 & aElementOf0(W0,W1) ) ) )
% 0.77/0.84 & aSet0(stldt0(sbsmnsldt0(xS)))
% 0.77/0.84 & ! [W0] :
% 0.77/0.84 ( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
% 0.77/0.84 <=> ( aInteger0(W0)
% 0.77/0.84 & ~ aElementOf0(W0,sbsmnsldt0(xS)) ) )
% 0.77/0.84 & ! [W0] :
% 0.77/0.84 ( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
% 0.77/0.84 <=> ( W0 = sz10
% 0.77/0.84 | W0 = smndt0(sz10) ) )
% 0.77/0.84 & stldt0(sbsmnsldt0(xS)) = cS2076 ) ).
% 0.77/0.84
% 0.77/0.84 fof(m__2117,hypothesis,
% 0.77/0.84 isFinite0(xS) ).
% 0.77/0.84
% 0.77/0.84 fof(m__2144,hypothesis,
% 0.77/0.84 ( aSet0(sbsmnsldt0(xS))
% 0.77/0.84 & ! [W0] :
% 0.77/0.84 ( aElementOf0(W0,sbsmnsldt0(xS))
% 0.77/0.84 <=> ( aInteger0(W0)
% 0.77/0.84 & ? [W1] :
% 0.77/0.84 ( aElementOf0(W1,xS)
% 0.77/0.84 & aElementOf0(W0,W1) ) ) )
% 0.77/0.84 & ! [W0] :
% 0.77/0.84 ( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
% 0.77/0.84 <=> ( aInteger0(W0)
% 0.77/0.84 & ~ aElementOf0(W0,sbsmnsldt0(xS)) ) )
% 0.77/0.84 & ! [W0] :
% 0.77/0.84 ( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
% 0.77/0.84 => ? [W1] :
% 0.77/0.84 ( aInteger0(W1)
% 0.77/0.84 & W1 != sz00
% 0.77/0.84 & aSet0(szAzrzSzezqlpdtcmdtrp0(W0,W1))
% 0.77/0.84 & ! [W2] :
% 0.77/0.84 ( ( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
% 0.77/0.84 => ( aInteger0(W2)
% 0.77/0.84 & ? [W3] :
% 0.77/0.84 ( aInteger0(W3)
% 0.77/0.84 & sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0)) )
% 0.77/0.84 & aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
% 0.77/0.84 & sdteqdtlpzmzozddtrp0(W2,W0,W1) ) )
% 0.77/0.84 & ( ( aInteger0(W2)
% 0.77/0.84 & ( ? [W3] :
% 0.77/0.84 ( aInteger0(W3)
% 0.77/0.84 & sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0)) )
% 0.77/0.84 | aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
% 0.77/0.84 | sdteqdtlpzmzozddtrp0(W2,W0,W1) ) )
% 0.77/0.84 => aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1)) ) )
% 0.77/0.84 & ! [W2] :
% 0.77/0.84 ( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
% 0.77/0.84 => aElementOf0(W2,stldt0(sbsmnsldt0(xS))) )
% 0.77/0.84 & aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,W1),stldt0(sbsmnsldt0(xS))) ) )
% 0.77/0.84 & isOpen0(stldt0(sbsmnsldt0(xS)))
% 0.77/0.84 & isClosed0(sbsmnsldt0(xS))
% 0.77/0.84 & aSet0(sbsmnsldt0(xS))
% 0.77/0.84 & ! [W0] :
% 0.77/0.84 ( aElementOf0(W0,sbsmnsldt0(xS))
% 0.77/0.84 <=> ( aInteger0(W0)
% 0.77/0.84 & ? [W1] :
% 0.77/0.84 ( aElementOf0(W1,xS)
% 0.77/0.84 & aElementOf0(W0,W1) ) ) )
% 0.77/0.84 & ! [W0] :
% 0.77/0.84 ( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
% 0.77/0.84 <=> ( aInteger0(W0)
% 0.77/0.84 & ~ aElementOf0(W0,sbsmnsldt0(xS)) ) )
% 0.77/0.84 & ! [W0] :
% 0.77/0.84 ( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
% 0.77/0.84 => ? [W1] :
% 0.77/0.84 ( aInteger0(W1)
% 0.77/0.84 & W1 != sz00
% 0.77/0.84 & aSet0(szAzrzSzezqlpdtcmdtrp0(W0,W1))
% 0.77/0.84 & ! [W2] :
% 0.77/0.84 ( ( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
% 0.77/0.84 => ( aInteger0(W2)
% 0.77/0.84 & ? [W3] :
% 0.77/0.84 ( aInteger0(W3)
% 0.77/0.84 & sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0)) )
% 0.77/0.84 & aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
% 0.77/0.84 & sdteqdtlpzmzozddtrp0(W2,W0,W1) ) )
% 0.77/0.84 & ( ( aInteger0(W2)
% 0.77/0.84 & ( ? [W3] :
% 0.77/0.84 ( aInteger0(W3)
% 0.77/0.84 & sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0)) )
% 0.77/0.84 | aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
% 0.77/0.84 | sdteqdtlpzmzozddtrp0(W2,W0,W1) ) )
% 0.77/0.84 => aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1)) ) )
% 0.77/0.84 & ! [W2] :
% 0.77/0.84 ( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
% 0.77/0.84 => aElementOf0(W2,stldt0(sbsmnsldt0(xS))) )
% 0.77/0.84 & aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,W1),stldt0(sbsmnsldt0(xS))) ) ) ) ).
% 0.77/0.84
% 0.77/0.84 fof(m__2171,hypothesis,
% 0.77/0.84 ( aInteger0(xp)
% 0.77/0.84 & xp != sz00
% 0.77/0.84 & aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
% 0.77/0.84 & ! [W0] :
% 0.77/0.84 ( ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
% 0.77/0.84 => ( aInteger0(W0)
% 0.77/0.84 & ? [W1] :
% 0.77/0.84 ( aInteger0(W1)
% 0.77/0.84 & sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10)) )
% 0.77/0.84 & aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
% 0.77/0.84 & sdteqdtlpzmzozddtrp0(W0,sz10,xp) ) )
% 0.77/0.84 & ( ( aInteger0(W0)
% 0.77/0.84 & ( ? [W1] :
% 0.77/0.84 ( aInteger0(W1)
% 0.77/0.84 & sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10)) )
% 0.77/0.84 | aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
% 0.77/0.84 | sdteqdtlpzmzozddtrp0(W0,sz10,xp) ) )
% 0.77/0.84 => aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
% 0.77/0.84 & aSet0(sbsmnsldt0(xS))
% 0.77/0.84 & ! [W0] :
% 0.77/0.84 ( aElementOf0(W0,sbsmnsldt0(xS))
% 0.77/0.84 <=> ( aInteger0(W0)
% 0.77/0.84 & ? [W1] :
% 0.77/0.84 ( aElementOf0(W1,xS)
% 0.77/0.84 & aElementOf0(W0,W1) ) ) )
% 0.77/0.84 & ! [W0] :
% 0.77/0.84 ( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
% 0.77/0.84 <=> ( aInteger0(W0)
% 0.77/0.84 & ~ aElementOf0(W0,sbsmnsldt0(xS)) ) )
% 0.77/0.84 & ! [W0] :
% 0.77/0.84 ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
% 0.77/0.84 => aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
% 0.77/0.84 & aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ) ).
% 0.77/0.84
% 0.77/0.84 fof(m__2203,hypothesis,
% 0.77/0.84 ? [W0] :
% 0.77/0.84 ( aInteger0(W0)
% 0.77/0.84 & ? [W1] :
% 0.77/0.84 ( aInteger0(W1)
% 0.77/0.84 & sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10)) )
% 0.77/0.84 & aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
% 0.77/0.84 & sdteqdtlpzmzozddtrp0(W0,sz10,xp)
% 0.77/0.84 & aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
% 0.77/0.84 & ~ ( W0 = sz10
% 0.77/0.84 | W0 = smndt0(sz10)
% 0.77/0.84 | aElementOf0(W0,cS2200) ) ) ).
% 0.77/0.84
% 0.77/0.84 fof(m__,conjecture,
% 0.77/0.84 $false ).
% 0.77/0.84
% 0.77/0.84 %------------------------------------------------------------------------------
% 0.77/0.84 %-------------------------------------------
% 0.77/0.84 % Proof found
% 0.77/0.84 % SZS status Theorem for theBenchmark
% 0.77/0.84 % SZS output start Proof
% 0.77/0.84 %ClaNum:297(EqnAxiom:77)
% 0.77/0.84 %VarNum:1226(SingletonVarNum:380)
% 0.77/0.84 %MaxLitNum:8
% 0.77/0.84 %MaxfuncDepth:2
% 0.77/0.84 %SharedTerms:40
% 0.77/0.84 [78]E(a1,a2)
% 0.77/0.84 [79]P1(a4)
% 0.77/0.84 [80]P1(a43)
% 0.77/0.84 [81]P1(a45)
% 0.77/0.84 [82]P1(a5)
% 0.77/0.84 [83]P1(a27)
% 0.77/0.84 [84]P4(a1)
% 0.77/0.84 [85]P5(a1)
% 0.77/0.84 [99]P9(a5,a43,a45)
% 0.77/0.84 [100]~E(a45,a4)
% 0.77/0.84 [101]~E(a5,a43)
% 0.77/0.84 [103]~P2(a5,a7)
% 0.77/0.84 [90]P4(f28(a1))
% 0.77/0.84 [91]P6(f28(a1))
% 0.77/0.84 [94]P4(f44(a43,a45))
% 0.77/0.84 [96]P2(a5,f44(a43,a45))
% 0.77/0.84 [102]~E(f38(a43),a5)
% 0.77/0.84 [86]E(f37(f28(a1)),a6)
% 0.77/0.84 [92]P4(f37(f28(a1)))
% 0.77/0.84 [93]P8(f37(f28(a1)))
% 0.77/0.84 [95]E(f39(a5,f38(a43)),f40(a45,a27))
% 0.77/0.84 [97]P3(a45,f39(a5,f38(a43)))
% 0.77/0.84 [98]P7(f44(a43,a45),f37(f28(a1)))
% 0.77/0.84 [104]~P1(x1041)+P1(f38(x1041))
% 0.77/0.84 [105]~P1(x1051)+E(f40(a4,x1051),a4)
% 0.77/0.84 [106]~P1(x1061)+E(f40(x1061,a4),a4)
% 0.77/0.84 [107]~P1(x1071)+E(f39(a4,x1071),x1071)
% 0.77/0.84 [108]~P1(x1081)+E(f40(a43,x1081),x1081)
% 0.77/0.84 [109]~P1(x1091)+E(f39(x1091,a4),x1091)
% 0.77/0.84 [110]~P1(x1101)+E(f40(x1101,a43),x1101)
% 0.77/0.84 [112]~P2(x1121,a1)+~E(f8(x1121),a4)
% 0.77/0.84 [118]~P2(x1181,a1)+P1(f8(x1181))
% 0.77/0.84 [119]~P2(x1191,a1)+P10(f8(x1191))
% 0.77/0.84 [123]P1(x1231)+~P2(x1231,f28(a1))
% 0.77/0.84 [150]~P2(x1501,f28(a1))+P2(f15(x1501),a1)
% 0.77/0.84 [151]~P2(x1511,f28(a1))+P2(f18(x1511),a1)
% 0.77/0.84 [152]~P2(x1521,f28(a1))+P2(f20(x1521),a1)
% 0.77/0.84 [153]~P2(x1531,f28(a1))+P2(f23(x1531),a1)
% 0.77/0.84 [155]P2(x1551,f15(x1551))+~P2(x1551,f28(a1))
% 0.77/0.84 [156]P2(x1561,f18(x1561))+~P2(x1561,f28(a1))
% 0.77/0.84 [157]P2(x1571,f20(x1571))+~P2(x1571,f28(a1))
% 0.77/0.84 [158]P2(x1581,f23(x1581))+~P2(x1581,f28(a1))
% 0.77/0.84 [172]P1(x1721)+~P2(x1721,f44(a43,a45))
% 0.77/0.84 [177]~P2(x1771,f44(a43,a45))+P1(f25(x1771))
% 0.77/0.84 [219]~P2(x2191,f44(a43,a45))+P9(x2191,a43,a45)
% 0.77/0.84 [113]~P1(x1131)+E(f39(f38(x1131),x1131),a4)
% 0.77/0.84 [114]~P1(x1141)+E(f39(x1141,f38(x1141)),a4)
% 0.77/0.84 [115]~P1(x1151)+E(f40(x1151,f38(a43)),f38(x1151))
% 0.77/0.84 [116]~P1(x1161)+E(f40(f38(a43),x1161),f38(x1161))
% 0.77/0.84 [117]~E(x1171,a43)+P2(x1171,f37(f28(a1)))
% 0.77/0.84 [125]~E(x1251,f38(a43))+P2(x1251,f37(f28(a1)))
% 0.77/0.84 [133]~P2(x1331,a1)+E(f44(a4,f8(x1331)),x1331)
% 0.77/0.84 [149]P1(x1491)+~P2(x1491,f37(f28(a1)))
% 0.77/0.84 [159]~E(f21(x1591),a4)+~P2(x1591,f37(f28(a1)))
% 0.77/0.84 [160]~E(f24(x1601),a4)+~P2(x1601,f37(f28(a1)))
% 0.77/0.84 [167]P1(f21(x1671))+~P2(x1671,f37(f28(a1)))
% 0.77/0.84 [168]P1(f24(x1681))+~P2(x1681,f37(f28(a1)))
% 0.77/0.84 [173]~P2(x1731,a1)+P4(f44(a4,f8(x1731)))
% 0.77/0.84 [192]~P2(x1921,f28(a1))+~P2(x1921,f37(f28(a1)))
% 0.77/0.84 [199]~P2(x1991,f44(a43,a45))+P2(x1991,f37(f28(a1)))
% 0.77/0.84 [201]~P2(x2011,f37(f28(a1)))+P4(f44(x2011,f21(x2011)))
% 0.77/0.84 [202]~P2(x2021,f37(f28(a1)))+P4(f44(x2021,f24(x2021)))
% 0.77/0.84 [205]~P2(x2051,f44(a43,a45))+E(f39(x2051,f38(a43)),f40(a45,f25(x2051)))
% 0.77/0.84 [211]~P2(x2111,f44(a43,a45))+P3(a45,f39(x2111,f38(a43)))
% 0.77/0.84 [220]~P2(x2201,f37(f28(a1)))+P7(f44(x2201,f21(x2201)),f37(f28(a1)))
% 0.77/0.84 [221]~P2(x2211,f37(f28(a1)))+P7(f44(x2211,f24(x2211)),f37(f28(a1)))
% 0.77/0.84 [130]~P6(x1301)+~P7(x1301,a3)+P8(f37(x1301))
% 0.77/0.84 [131]~P4(x1311)+P2(f9(x1311),x1311)+P8(f28(x1311))
% 0.77/0.84 [136]P6(x1361)+~P7(x1361,a3)+~P8(f37(x1361))
% 0.77/0.84 [143]P8(x1431)+P2(f10(x1431),x1431)+~P7(x1431,a3)
% 0.77/0.84 [232]~P1(x2321)+P2(x2321,f44(a43,a45))+~P9(x2321,a43,a45)
% 0.77/0.84 [154]E(x1541,a43)+E(x1541,f38(a43))+~P2(x1541,f37(f28(a1)))
% 0.77/0.84 [166]~P1(x1661)+P2(x1661,f28(a1))+P2(x1661,f37(f28(a1)))
% 0.77/0.84 [225]~P1(x2251)+P2(x2251,f44(a43,a45))+~P3(a45,f39(x2251,f38(a43)))
% 0.77/0.84 [124]~P3(x1241,x1242)+~P1(x1242)+~E(x1241,a4)
% 0.77/0.84 [128]~P3(x1281,x1282)+P1(x1281)+~P1(x1282)
% 0.77/0.84 [129]~P7(x1291,x1292)+P4(x1291)+~P4(x1292)
% 0.77/0.84 [127]P4(x1271)+~P7(x1272,a3)+~E(x1271,f37(x1272))
% 0.77/0.84 [137]~P1(x1372)+~P1(x1371)+E(f39(x1371,x1372),f39(x1372,x1371))
% 0.77/0.84 [138]~P1(x1382)+~P1(x1381)+E(f40(x1381,x1382),f40(x1382,x1381))
% 0.77/0.84 [141]~P1(x1412)+~P1(x1411)+P1(f39(x1411,x1412))
% 0.77/0.84 [142]~P1(x1422)+~P1(x1421)+P1(f40(x1421,x1422))
% 0.77/0.84 [174]~P1(x1741)+~P3(x1742,x1741)+P1(f19(x1741,x1742))
% 0.77/0.84 [194]~P1(x1942)+~P3(x1941,x1942)+E(f40(x1941,f19(x1942,x1941)),x1942)
% 0.77/0.84 [216]P1(x2161)+~P2(x2162,a1)+~P2(x2161,f44(a4,f8(x2162)))
% 0.77/0.84 [235]~P2(x2351,a1)+P1(f16(x2351,x2352))+~P2(x2352,f44(a4,f8(x2351)))
% 0.77/0.84 [236]P1(x2361)+~P2(x2361,f44(x2362,f21(x2362)))+~P2(x2362,f37(f28(a1)))
% 0.77/0.84 [237]P1(x2371)+~P2(x2371,f44(x2372,f24(x2372)))+~P2(x2372,f37(f28(a1)))
% 0.77/0.84 [249]~P2(x2491,a1)+P3(f8(x2491),f39(x2492,f38(a4)))+~P2(x2492,f44(a4,f8(x2491)))
% 0.77/0.84 [250]~P2(x2501,f44(x2502,f21(x2502)))+P2(x2501,f37(f28(a1)))+~P2(x2502,f37(f28(a1)))
% 0.77/0.84 [251]~P2(x2511,f44(x2512,f24(x2512)))+P2(x2511,f37(f28(a1)))+~P2(x2512,f37(f28(a1)))
% 0.77/0.84 [252]~P2(x2522,f44(x2521,f21(x2521)))+P1(f22(x2521,x2522))+~P2(x2521,f37(f28(a1)))
% 0.77/0.84 [253]~P2(x2532,f44(x2531,f24(x2531)))+P1(f26(x2531,x2532))+~P2(x2531,f37(f28(a1)))
% 0.77/0.84 [256]~P2(x2562,a1)+P9(x2561,a4,f8(x2562))+~P2(x2561,f44(a4,f8(x2562)))
% 0.77/0.84 [259]~P2(x2591,a1)+E(f40(f8(x2591),f16(x2591,x2592)),f39(x2592,f38(a4)))+~P2(x2592,f44(a4,f8(x2591)))
% 0.77/0.84 [267]~P2(x2672,f44(x2671,f21(x2671)))+P3(f21(x2671),f39(x2672,f38(x2671)))+~P2(x2671,f37(f28(a1)))
% 0.77/0.84 [268]~P2(x2682,f44(x2681,f24(x2681)))+P3(f24(x2681),f39(x2682,f38(x2681)))+~P2(x2681,f37(f28(a1)))
% 0.77/0.84 [270]P9(x2701,x2702,f21(x2702))+~P2(x2701,f44(x2702,f21(x2702)))+~P2(x2702,f37(f28(a1)))
% 0.77/0.84 [271]P9(x2711,x2712,f24(x2712))+~P2(x2711,f44(x2712,f24(x2712)))+~P2(x2712,f37(f28(a1)))
% 0.77/0.84 [274]~P2(x2742,f44(x2741,f21(x2741)))+E(f40(f21(x2741),f22(x2741,x2742)),f39(x2742,f38(x2741)))+~P2(x2741,f37(f28(a1)))
% 0.77/0.84 [275]~P2(x2752,f44(x2751,f24(x2751)))+E(f40(f24(x2751),f26(x2751,x2752)),f39(x2752,f38(x2751)))+~P2(x2751,f37(f28(a1)))
% 0.77/0.84 [111]~P1(x1111)+E(x1111,a43)+E(x1111,f38(a43))+P10(f29(x1111))
% 0.77/0.84 [126]~P1(x1261)+P3(f29(x1261),x1261)+E(x1261,a43)+E(x1261,f38(a43))
% 0.77/0.84 [144]~P4(x1441)+~P5(x1441)+P2(f14(x1441),x1441)+P6(f28(x1441))
% 0.77/0.84 [178]~P4(x1781)+~P8(f9(x1781))+~P7(f9(x1781),a3)+P8(f28(x1781))
% 0.77/0.85 [132]~P1(x1321)+~P3(x1322,x1321)+~P10(x1322)+~E(x1321,a43)
% 0.77/0.85 [193]~P1(x1931)+~P1(x1932)+P9(x1932,x1932,x1931)+E(x1931,a4)
% 0.77/0.85 [135]~P4(x1352)+P4(x1351)+~E(x1351,f28(x1352))+P2(f30(x1352),x1352)
% 0.77/0.85 [139]~P1(x1391)+~P3(x1392,x1391)+~P10(x1392)+~E(x1391,f38(a43))
% 0.77/0.85 [145]~P1(x1451)+~P1(x1452)+E(x1451,a4)+P6(f44(x1452,x1451))
% 0.77/0.85 [161]~P4(x1612)+P4(x1611)+~E(x1611,f28(x1612))+~P7(f30(x1612),a3)
% 0.77/0.85 [169]~P1(x1691)+~P1(x1692)+E(x1691,a4)+P7(f44(x1692,x1691),a3)
% 0.77/0.85 [185]~P1(x1851)+~P2(x1851,x1852)+~P2(x1852,a1)+P2(x1851,f28(a1))
% 0.77/0.85 [186]~P4(x1861)+~P4(x1862)+P7(x1861,x1862)+P2(f31(x1862,x1861),x1861)
% 0.77/0.85 [197]~P8(x1971)+~P2(x1972,x1971)+~P7(x1971,a3)+~E(f11(x1971,x1972),a4)
% 0.77/0.85 [200]~P8(x2001)+~P2(x2002,x2001)+~P7(x2001,a3)+P1(f11(x2001,x2002))
% 0.77/0.85 [209]~P4(x2091)+~P4(x2092)+P7(x2091,x2092)+~P2(f31(x2092,x2091),x2092)
% 0.77/0.85 [210]~P1(x2101)+~P1(x2102)+P2(x2101,f44(a43,a45))+~E(f40(a45,x2102),f39(x2101,f38(a43)))
% 0.77/0.85 [244]~P8(x2442)+~P2(x2441,x2442)+~P7(x2442,a3)+P7(f44(x2441,f11(x2442,x2441)),x2442)
% 0.77/0.85 [257]~P1(x2571)+~P2(x2572,a1)+~P3(f8(x2572),f39(x2571,f38(a4)))+P2(x2571,f44(a4,f8(x2572)))
% 0.77/0.85 [262]~P1(x2621)+~P2(x2622,a1)+~P9(x2621,a4,f8(x2622))+P2(x2621,f44(a4,f8(x2622)))
% 0.77/0.85 [276]~P1(x2761)+~P3(f21(x2762),f39(x2761,f38(x2762)))+P2(x2761,f44(x2762,f21(x2762)))+~P2(x2762,f37(f28(a1)))
% 0.77/0.85 [277]~P1(x2771)+~P3(f24(x2772),f39(x2771,f38(x2772)))+P2(x2771,f44(x2772,f24(x2772)))+~P2(x2772,f37(f28(a1)))
% 0.77/0.85 [278]~P1(x2781)+~P9(x2781,x2782,f21(x2782))+P2(x2781,f44(x2782,f21(x2782)))+~P2(x2782,f37(f28(a1)))
% 0.77/0.85 [279]~P1(x2791)+~P9(x2791,x2792,f24(x2792))+P2(x2791,f44(x2792,f24(x2792)))+~P2(x2792,f37(f28(a1)))
% 0.77/0.85 [180]~P4(x1802)+~P7(x1803,x1802)+P2(x1801,x1802)+~P2(x1801,x1803)
% 0.77/0.85 [170]~P2(x1701,x1702)+P1(x1701)+~P7(x1703,a3)+~E(x1702,f37(x1703))
% 0.77/0.85 [187]P4(x1871)+~P7(x1873,a3)+~P7(x1872,a3)+~E(x1871,f41(x1872,x1873))
% 0.77/0.85 [188]P4(x1881)+~P7(x1883,a3)+~P7(x1882,a3)+~E(x1881,f42(x1882,x1883))
% 0.77/0.85 [198]~P2(x1983,x1982)+~P2(x1983,x1981)+~P7(x1982,a3)+~E(x1981,f37(x1982))
% 0.77/0.85 [212]~P1(x2123)+~P1(x2122)+~P1(x2121)+E(f39(f39(x2121,x2122),x2123),f39(x2121,f39(x2122,x2123)))
% 0.77/0.85 [213]~P1(x2133)+~P1(x2132)+~P1(x2131)+E(f40(f40(x2131,x2132),x2133),f40(x2131,f40(x2132,x2133)))
% 0.77/0.85 [233]~P1(x2333)+~P1(x2332)+~P1(x2331)+E(f39(f40(x2331,x2332),f40(x2331,x2333)),f40(x2331,f39(x2332,x2333)))
% 0.77/0.85 [234]~P1(x2342)+~P1(x2343)+~P1(x2341)+E(f39(f40(x2341,x2342),f40(x2343,x2342)),f40(f39(x2341,x2343),x2342))
% 0.77/0.85 [195]~P4(x1951)+~P5(x1951)+~P6(f14(x1951))+~P7(f14(x1951),a3)+P6(f28(x1951))
% 0.77/0.85 [134]~P1(x1341)+~P1(x1342)+E(x1341,a4)+E(x1342,a4)+~E(f40(x1342,x1341),a4)
% 0.77/0.85 [162]~P1(x1621)+~P10(x1621)+E(x1621,a4)+P2(x1622,a1)+~E(f44(a4,x1621),x1622)
% 0.77/0.85 [171]~P1(x1711)+~P10(x1711)+E(x1711,a4)+P2(x1712,a1)+P4(f44(a4,x1711))
% 0.77/0.85 [203]~P8(x2032)+~P8(x2031)+~P7(x2032,a3)+~P7(x2031,a3)+P8(f42(x2031,x2032))
% 0.77/0.85 [204]~P6(x2042)+~P6(x2041)+~P7(x2042,a3)+~P7(x2041,a3)+P6(f41(x2041,x2042))
% 0.77/0.85 [218]~P4(x2181)+P2(f12(x2182,x2181),x2181)+~P7(x2182,a3)+E(x2181,f37(x2182))+P1(f12(x2182,x2181))
% 0.77/0.85 [242]~P4(x2421)+P2(f12(x2422,x2421),x2421)+~P7(x2422,a3)+~P2(f12(x2422,x2421),x2422)+E(x2421,f37(x2422))
% 0.77/0.85 [227]~P1(x2271)+P8(x2272)+~P7(x2272,a3)+E(x2271,a4)+~P7(f44(f10(x2272),x2271),x2272)
% 0.77/0.85 [140]~P1(x1401)+~P1(x1403)+P4(x1402)+E(x1401,a4)+~E(x1402,f44(x1403,x1401))
% 0.77/0.85 [176]~P4(x1762)+~P2(x1761,x1763)+P1(x1761)+P2(f30(x1762),x1762)+~E(x1763,f28(x1762))
% 0.77/0.85 [179]~P1(x1791)+P2(x1791,x1792)+P2(x1791,x1793)+~E(x1792,f37(x1793))+~P7(x1793,a3)
% 0.77/0.85 [196]~P4(x1963)+~P2(x1961,x1962)+P1(x1961)+~E(x1962,f28(x1963))+~P7(f30(x1963),a3)
% 0.77/0.85 [265]~P4(x2651)+~P2(x2652,x2653)+~E(x2653,f28(x2651))+P2(f30(x2651),x2651)+P2(x2652,f35(x2651,x2653,x2652))
% 0.77/0.85 [266]~P4(x2661)+~P2(x2663,x2662)+~E(x2662,f28(x2661))+P2(f30(x2661),x2661)+P2(f35(x2661,x2662,x2663),x2661)
% 0.77/0.85 [272]~P4(x2722)+~P2(x2721,x2723)+~E(x2723,f28(x2722))+P2(x2721,f35(x2722,x2723,x2721))+~P7(f30(x2722),a3)
% 0.77/0.85 [273]~P4(x2731)+~P2(x2733,x2732)+~E(x2732,f28(x2731))+P2(f35(x2731,x2732,x2733),x2731)+~P7(f30(x2731),a3)
% 0.77/0.85 [245]~P1(x2451)+~P1(x2453)+~P2(x2452,a1)+~E(f40(f8(x2452),x2453),f39(x2451,f38(a4)))+P2(x2451,f44(a4,f8(x2452)))
% 0.77/0.85 [263]~P1(x2631)+~P1(x2633)+P2(x2631,f44(x2632,f21(x2632)))+~E(f40(f21(x2632),x2633),f39(x2631,f38(x2632)))+~P2(x2632,f37(f28(a1)))
% 0.77/0.85 [264]~P1(x2641)+~P1(x2643)+P2(x2641,f44(x2642,f24(x2642)))+~E(f40(f24(x2642),x2643),f39(x2641,f38(x2642)))+~P2(x2642,f37(f28(a1)))
% 0.77/0.85 [206]~P2(x2061,x2062)+P1(x2061)+~P7(x2064,a3)+~P7(x2063,a3)+~E(x2062,f41(x2063,x2064))
% 0.77/0.85 [207]~P2(x2071,x2072)+P1(x2071)+~P7(x2074,a3)+~P7(x2073,a3)+~E(x2072,f42(x2073,x2074))
% 0.77/0.85 [214]~P2(x2141,x2143)+P2(x2141,x2142)+~P7(x2144,a3)+~P7(x2142,a3)+~E(x2143,f42(x2144,x2142))
% 0.77/0.85 [215]~P2(x2151,x2153)+P2(x2151,x2152)+~P7(x2154,a3)+~P7(x2152,a3)+~E(x2153,f42(x2152,x2154))
% 0.77/0.85 [224]~P4(x2241)+~P4(x2242)+P2(f30(x2242),x2242)+P2(f34(x2242,x2241),x2241)+E(x2241,f28(x2242))+P1(f34(x2242,x2241))
% 0.77/0.85 [230]~P4(x2301)+~P4(x2302)+P2(f34(x2302,x2301),x2301)+E(x2301,f28(x2302))+P1(f34(x2302,x2301))+~P7(f30(x2302),a3)
% 0.77/0.85 [231]~P4(x2311)+~P4(x2312)+P2(f30(x2312),x2312)+P2(f34(x2312,x2311),x2311)+P2(f36(x2312,x2311),x2312)+E(x2311,f28(x2312))
% 0.77/0.85 [239]~P4(x2391)+~P4(x2392)+P2(f34(x2392,x2391),x2391)+P2(f36(x2392,x2391),x2392)+E(x2391,f28(x2392))+~P7(f30(x2392),a3)
% 0.77/0.85 [247]~P4(x2471)+~P4(x2472)+P2(f30(x2472),x2472)+P2(f34(x2472,x2471),x2471)+P2(f34(x2472,x2471),f36(x2472,x2471))+E(x2471,f28(x2472))
% 0.77/0.85 [254]~P4(x2541)+~P4(x2542)+P2(f34(x2542,x2541),x2541)+P2(f34(x2542,x2541),f36(x2542,x2541))+E(x2541,f28(x2542))+~P7(f30(x2542),a3)
% 0.77/0.85 [269]~P4(x2691)+P2(f12(x2692,x2691),x2692)+~P7(x2692,a3)+~P2(f12(x2692,x2691),x2691)+E(x2691,f37(x2692))+~P1(f12(x2692,x2691))
% 0.77/0.85 [261]~P1(x2611)+~P1(x2612)+~P1(x2613)+~P9(x2613,x2612,x2611)+P9(x2612,x2613,x2611)+E(x2611,a4)
% 0.77/0.85 [175]~P1(x1752)+~P1(x1753)+~P1(x1751)+P3(x1751,x1752)+E(x1751,a4)+~E(f40(x1751,x1753),x1752)
% 0.77/0.85 [208]~P1(x2081)+~P10(x2081)+P1(x2082)+E(x2081,a4)+P2(x2083,a1)+~P2(x2082,f44(a4,x2081))
% 0.77/0.85 [243]~P1(x2431)+~P10(x2431)+P9(x2433,a4,x2431)+E(x2431,a4)+P2(x2432,a1)+~P2(x2433,f44(a4,x2431))
% 0.77/0.85 [280]~P1(x2801)+~P10(x2801)+E(x2801,a4)+P2(x2802,a1)+~P2(x2803,f44(a4,x2801))+P1(f17(x2802,x2801,x2803))
% 0.77/0.85 [288]~P4(x2881)+P2(f32(x2882,x2883,x2881),x2881)+~P7(x2883,a3)+~P7(x2882,a3)+E(x2881,f41(x2882,x2883))+P1(f32(x2882,x2883,x2881))
% 0.77/0.85 [289]~P4(x2891)+P2(f33(x2892,x2893,x2891),x2891)+~P7(x2893,a3)+~P7(x2892,a3)+E(x2891,f42(x2892,x2893))+P1(f33(x2892,x2893,x2891))
% 0.77/0.85 [290]~P4(x2901)+P2(f33(x2902,x2903,x2901),x2901)+P2(f33(x2902,x2903,x2901),x2903)+~P7(x2903,a3)+~P7(x2902,a3)+E(x2901,f42(x2902,x2903))
% 0.77/0.85 [291]~P4(x2911)+P2(f33(x2912,x2913,x2911),x2911)+P2(f33(x2912,x2913,x2911),x2912)+~P7(x2913,a3)+~P7(x2912,a3)+E(x2911,f42(x2912,x2913))
% 0.77/0.85 [241]~P1(x2411)+~P10(x2411)+E(x2411,a4)+P2(x2412,a1)+~P2(x2413,f44(a4,x2411))+P3(x2411,f39(x2413,f38(a4)))
% 0.77/0.85 [258]~P1(x2583)+~P1(x2582)+~P1(x2581)+P9(x2582,x2583,x2581)+E(x2581,a4)+~P3(x2581,f39(x2582,f38(x2583)))
% 0.77/0.85 [260]~P1(x2601)+~P1(x2603)+~P1(x2602)+~P9(x2602,x2603,x2601)+E(x2601,a4)+P3(x2601,f39(x2602,f38(x2603)))
% 0.77/0.85 [283]~P1(x2831)+~P10(x2831)+P2(x2832,a1)+E(x2831,a4)+~P2(x2833,f44(a4,x2831))+E(f40(x2831,f17(x2832,x2831,x2833)),f39(x2833,f38(a4)))
% 0.77/0.85 [181]~P1(x1811)+~P1(x1814)+~P2(x1812,x1813)+P1(x1812)+E(x1811,a4)+~E(x1813,f44(x1814,x1811))
% 0.77/0.85 [222]~P1(x2221)+~P2(x2221,x2224)+P2(x2221,x2222)+~P7(x2223,a3)+~P7(x2224,a3)+~E(x2222,f41(x2223,x2224))
% 0.77/0.85 [223]~P1(x2231)+~P2(x2231,x2233)+P2(x2231,x2232)+~P7(x2234,a3)+~P7(x2233,a3)+~E(x2232,f41(x2233,x2234))
% 0.77/0.85 [228]~P2(x2281,x2284)+P2(x2281,x2282)+P2(x2281,x2283)+~P7(x2282,a3)+~P7(x2283,a3)+~E(x2284,f41(x2283,x2282))
% 0.77/0.85 [229]~P1(x2291)+~P1(x2293)+~P2(x2292,x2294)+P9(x2292,x2293,x2291)+E(x2291,a4)+~E(x2294,f44(x2293,x2291))
% 0.77/0.85 [255]~P1(x2551)+~P1(x2553)+~P10(x2551)+~P9(x2553,a4,x2551)+E(x2551,a4)+P2(x2552,a1)+P2(x2553,f44(a4,x2551))
% 0.77/0.85 [287]~P1(x2871)+~P1(x2873)+~P4(x2872)+P2(f13(x2873,x2871,x2872),x2872)+E(x2871,a4)+E(x2872,f44(x2873,x2871))+P1(f13(x2873,x2871,x2872))
% 0.77/0.85 [292]~P1(x2921)+~P1(x2923)+~P4(x2922)+P9(f13(x2923,x2921,x2922),x2923,x2921)+P2(f13(x2923,x2921,x2922),x2922)+E(x2921,a4)+E(x2922,f44(x2923,x2921))
% 0.77/0.85 [293]~P4(x2931)+P2(f32(x2932,x2933,x2931),x2931)+P2(f32(x2932,x2933,x2931),x2933)+P2(f32(x2932,x2933,x2931),x2932)+~P7(x2933,a3)+~P7(x2932,a3)+E(x2931,f41(x2932,x2933))
% 0.77/0.85 [294]~P4(x2941)+~P7(x2943,a3)+~P7(x2942,a3)+~P2(f32(x2942,x2943,x2941),x2941)+~P2(f32(x2942,x2943,x2941),x2943)+E(x2941,f41(x2942,x2943))+~P1(f32(x2942,x2943,x2941))
% 0.77/0.85 [295]~P4(x2951)+~P7(x2953,a3)+~P7(x2952,a3)+~P2(f32(x2952,x2953,x2951),x2951)+~P2(f32(x2952,x2953,x2951),x2952)+E(x2951,f41(x2952,x2953))+~P1(f32(x2952,x2953,x2951))
% 0.77/0.85 [246]~P1(x2463)+~P1(x2461)+~P10(x2461)+E(x2461,a4)+P2(x2462,a1)+P2(x2463,f44(a4,x2461))+~P3(x2461,f39(x2463,f38(a4)))
% 0.77/0.85 [217]~P1(x2171)+~P4(x2173)+~P2(x2171,x2174)+P2(x2171,x2172)+~P2(x2174,x2173)+~E(x2172,f28(x2173))+P2(f30(x2173),x2173)
% 0.77/0.85 [226]~P1(x2261)+~P4(x2263)+~P2(x2261,x2264)+P2(x2261,x2262)+~P2(x2264,x2263)+~E(x2262,f28(x2263))+~P7(f30(x2263),a3)
% 0.77/0.85 [240]~P1(x2401)+~P2(x2401,x2404)+~P2(x2401,x2403)+P2(x2401,x2402)+~P7(x2404,a3)+~P7(x2403,a3)+~E(x2402,f42(x2403,x2404))
% 0.77/0.85 [248]~P1(x2481)+~P1(x2484)+~P1(x2482)+~P9(x2482,x2484,x2481)+P2(x2482,x2483)+E(x2481,a4)+~E(x2483,f44(x2484,x2481))
% 0.77/0.85 [284]~P4(x2841)+~P4(x2842)+~P2(x2843,x2842)+P2(f30(x2842),x2842)+~P2(f34(x2842,x2841),x2843)+~P2(f34(x2842,x2841),x2841)+E(x2841,f28(x2842))+~P1(f34(x2842,x2841))
% 0.77/0.85 [285]~P4(x2851)+~P4(x2852)+~P2(x2853,x2852)+~P2(f34(x2852,x2851),x2853)+~P2(f34(x2852,x2851),x2851)+E(x2851,f28(x2852))+~P1(f34(x2852,x2851))+~P7(f30(x2852),a3)
% 0.77/0.85 [296]~P1(x2961)+~P1(x2963)+~P4(x2962)+~P9(f13(x2963,x2961,x2962),x2963,x2961)+~P2(f13(x2963,x2961,x2962),x2962)+E(x2961,a4)+E(x2962,f44(x2963,x2961))+~P1(f13(x2963,x2961,x2962))
% 0.77/0.85 [297]~P4(x2971)+~P7(x2973,a3)+~P7(x2972,a3)+~P2(f33(x2972,x2973,x2971),x2971)+~P2(f33(x2972,x2973,x2971),x2973)+~P2(f33(x2972,x2973,x2971),x2972)+E(x2971,f42(x2972,x2973))+~P1(f33(x2972,x2973,x2971))
% 0.77/0.85 [286]~P1(x2863)+~P1(x2861)+~P1(x2862)+~P9(x2864,x2863,x2861)+~P9(x2862,x2864,x2861)+P9(x2862,x2863,x2861)+~P1(x2864)+E(x2861,a4)
% 0.77/0.85 [281]~P1(x2811)+~P1(x2812)+~P1(x2814)+~P1(x2813)+P9(x2813,x2814,x2812)+~P9(x2813,x2814,f40(x2811,x2812))+E(x2811,a4)+E(x2812,a4)
% 0.77/0.85 [282]~P1(x2821)+~P1(x2822)+~P1(x2824)+~P1(x2823)+P9(x2823,x2824,x2822)+~P9(x2823,x2824,f40(x2822,x2821))+E(x2821,a4)+E(x2822,a4)
% 0.77/0.85 [238]~P1(x2383)+~P1(x2381)+~P1(x2384)+~P10(x2381)+E(x2381,a4)+P2(x2382,a1)+P2(x2383,f44(a4,x2381))+~E(f40(x2381,x2384),f39(x2383,f38(a4)))
% 0.77/0.85 %EqnAxiom
% 0.77/0.85 [1]E(x11,x11)
% 0.77/0.85 [2]E(x22,x21)+~E(x21,x22)
% 0.77/0.85 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.77/0.85 [4]~E(x41,x42)+E(f28(x41),f28(x42))
% 0.77/0.85 [5]~E(x51,x52)+E(f37(x51),f37(x52))
% 0.77/0.85 [6]~E(x61,x62)+E(f33(x61,x63,x64),f33(x62,x63,x64))
% 0.77/0.85 [7]~E(x71,x72)+E(f33(x73,x71,x74),f33(x73,x72,x74))
% 0.77/0.85 [8]~E(x81,x82)+E(f33(x83,x84,x81),f33(x83,x84,x82))
% 0.77/0.85 [9]~E(x91,x92)+E(f8(x91),f8(x92))
% 0.77/0.85 [10]~E(x101,x102)+E(f39(x101,x103),f39(x102,x103))
% 0.77/0.85 [11]~E(x111,x112)+E(f39(x113,x111),f39(x113,x112))
% 0.77/0.85 [12]~E(x121,x122)+E(f38(x121),f38(x122))
% 0.77/0.85 [13]~E(x131,x132)+E(f42(x131,x133),f42(x132,x133))
% 0.77/0.85 [14]~E(x141,x142)+E(f42(x143,x141),f42(x143,x142))
% 0.77/0.85 [15]~E(x151,x152)+E(f13(x151,x153,x154),f13(x152,x153,x154))
% 0.77/0.85 [16]~E(x161,x162)+E(f13(x163,x161,x164),f13(x163,x162,x164))
% 0.77/0.85 [17]~E(x171,x172)+E(f13(x173,x174,x171),f13(x173,x174,x172))
% 0.77/0.85 [18]~E(x181,x182)+E(f30(x181),f30(x182))
% 0.77/0.85 [19]~E(x191,x192)+E(f44(x191,x193),f44(x192,x193))
% 0.77/0.85 [20]~E(x201,x202)+E(f44(x203,x201),f44(x203,x202))
% 0.77/0.85 [21]~E(x211,x212)+E(f21(x211),f21(x212))
% 0.77/0.85 [22]~E(x221,x222)+E(f40(x221,x223),f40(x222,x223))
% 0.77/0.85 [23]~E(x231,x232)+E(f40(x233,x231),f40(x233,x232))
% 0.77/0.85 [24]~E(x241,x242)+E(f34(x241,x243),f34(x242,x243))
% 0.77/0.85 [25]~E(x251,x252)+E(f34(x253,x251),f34(x253,x252))
% 0.77/0.85 [26]~E(x261,x262)+E(f24(x261),f24(x262))
% 0.77/0.85 [27]~E(x271,x272)+E(f11(x271,x273),f11(x272,x273))
% 0.77/0.85 [28]~E(x281,x282)+E(f11(x283,x281),f11(x283,x282))
% 0.77/0.85 [29]~E(x291,x292)+E(f23(x291),f23(x292))
% 0.77/0.85 [30]~E(x301,x302)+E(f41(x301,x303),f41(x302,x303))
% 0.77/0.85 [31]~E(x311,x312)+E(f41(x313,x311),f41(x313,x312))
% 0.77/0.85 [32]~E(x321,x322)+E(f20(x321),f20(x322))
% 0.77/0.85 [33]~E(x331,x332)+E(f36(x331,x333),f36(x332,x333))
% 0.77/0.85 [34]~E(x341,x342)+E(f36(x343,x341),f36(x343,x342))
% 0.77/0.85 [35]~E(x351,x352)+E(f12(x351,x353),f12(x352,x353))
% 0.77/0.85 [36]~E(x361,x362)+E(f12(x363,x361),f12(x363,x362))
% 0.77/0.85 [37]~E(x371,x372)+E(f35(x371,x373,x374),f35(x372,x373,x374))
% 0.77/0.85 [38]~E(x381,x382)+E(f35(x383,x381,x384),f35(x383,x382,x384))
% 0.77/0.85 [39]~E(x391,x392)+E(f35(x393,x394,x391),f35(x393,x394,x392))
% 0.77/0.85 [40]~E(x401,x402)+E(f14(x401),f14(x402))
% 0.77/0.85 [41]~E(x411,x412)+E(f31(x411,x413),f31(x412,x413))
% 0.77/0.85 [42]~E(x421,x422)+E(f31(x423,x421),f31(x423,x422))
% 0.77/0.85 [43]~E(x431,x432)+E(f32(x431,x433,x434),f32(x432,x433,x434))
% 0.77/0.85 [44]~E(x441,x442)+E(f32(x443,x441,x444),f32(x443,x442,x444))
% 0.77/0.85 [45]~E(x451,x452)+E(f32(x453,x454,x451),f32(x453,x454,x452))
% 0.77/0.85 [46]~E(x461,x462)+E(f16(x461,x463),f16(x462,x463))
% 0.77/0.85 [47]~E(x471,x472)+E(f16(x473,x471),f16(x473,x472))
% 0.77/0.85 [48]~E(x481,x482)+E(f19(x481,x483),f19(x482,x483))
% 0.77/0.85 [49]~E(x491,x492)+E(f19(x493,x491),f19(x493,x492))
% 0.77/0.85 [50]~E(x501,x502)+E(f18(x501),f18(x502))
% 0.77/0.85 [51]~E(x511,x512)+E(f26(x511,x513),f26(x512,x513))
% 0.77/0.85 [52]~E(x521,x522)+E(f26(x523,x521),f26(x523,x522))
% 0.77/0.85 [53]~E(x531,x532)+E(f15(x531),f15(x532))
% 0.77/0.85 [54]~E(x541,x542)+E(f10(x541),f10(x542))
% 0.77/0.85 [55]~E(x551,x552)+E(f29(x551),f29(x552))
% 0.77/0.85 [56]~E(x561,x562)+E(f9(x561),f9(x562))
% 0.77/0.85 [57]~E(x571,x572)+E(f17(x571,x573,x574),f17(x572,x573,x574))
% 0.77/0.85 [58]~E(x581,x582)+E(f17(x583,x581,x584),f17(x583,x582,x584))
% 0.77/0.85 [59]~E(x591,x592)+E(f17(x593,x594,x591),f17(x593,x594,x592))
% 0.77/0.85 [60]~E(x601,x602)+E(f22(x601,x603),f22(x602,x603))
% 0.77/0.85 [61]~E(x611,x612)+E(f22(x613,x611),f22(x613,x612))
% 0.77/0.85 [62]~E(x621,x622)+E(f25(x621),f25(x622))
% 0.77/0.85 [63]~P1(x631)+P1(x632)+~E(x631,x632)
% 0.77/0.85 [64]P2(x642,x643)+~E(x641,x642)+~P2(x641,x643)
% 0.77/0.85 [65]P2(x653,x652)+~E(x651,x652)+~P2(x653,x651)
% 0.77/0.85 [66]P3(x662,x663)+~E(x661,x662)+~P3(x661,x663)
% 0.77/0.85 [67]P3(x673,x672)+~E(x671,x672)+~P3(x673,x671)
% 0.77/0.85 [68]P9(x682,x683,x684)+~E(x681,x682)+~P9(x681,x683,x684)
% 0.77/0.85 [69]P9(x693,x692,x694)+~E(x691,x692)+~P9(x693,x691,x694)
% 0.77/0.85 [70]P9(x703,x704,x702)+~E(x701,x702)+~P9(x703,x704,x701)
% 0.77/0.85 [71]P7(x712,x713)+~E(x711,x712)+~P7(x711,x713)
% 0.77/0.85 [72]P7(x723,x722)+~E(x721,x722)+~P7(x723,x721)
% 0.77/0.85 [73]~P4(x731)+P4(x732)+~E(x731,x732)
% 0.77/0.85 [74]~P5(x741)+P5(x742)+~E(x741,x742)
% 0.77/0.85 [75]~P10(x751)+P10(x752)+~E(x751,x752)
% 0.77/0.85 [76]~P6(x761)+P6(x762)+~E(x761,x762)
% 0.77/0.85 [77]~P8(x771)+P8(x772)+~E(x771,x772)
% 0.77/0.85
% 0.77/0.85 %-------------------------------------------
% 0.77/0.85 cnf(305,plain,
% 0.77/0.85 (P9(a4,a4,a45)),
% 0.77/0.85 inference(scs_inference,[],[78,79,81,84,85,100,103,96,97,86,93,98,95,2,77,74,73,72,67,65,193])).
% 0.77/0.85 cnf(311,plain,
% 0.77/0.85 (P2(a5,f37(f28(a1)))),
% 0.77/0.85 inference(scs_inference,[],[78,79,80,81,82,84,85,99,100,103,96,97,86,93,98,95,2,77,74,73,72,67,65,193,261,248,199])).
% 0.77/0.85 cnf(319,plain,
% 0.77/0.85 (E(f39(a4,a43),a43)),
% 0.77/0.85 inference(scs_inference,[],[78,79,80,81,82,84,85,99,100,103,96,97,86,93,98,95,2,77,74,73,72,67,65,193,261,248,199,110,109,108,107])).
% 0.77/0.85 cnf(332,plain,
% 0.77/0.85 (E(f17(x3321,x3322,a1),f17(x3321,x3322,a2))),
% 0.77/0.85 inference(scs_inference,[],[78,79,80,81,82,84,85,99,100,103,96,97,86,93,98,95,2,77,74,73,72,67,65,193,261,248,199,110,109,108,107,106,105,104,177,62,61,60,59])).
% 0.77/0.85 cnf(333,plain,
% 0.77/0.85 (E(f17(x3331,a1,x3332),f17(x3331,a2,x3332))),
% 0.77/0.85 inference(scs_inference,[],[78,79,80,81,82,84,85,99,100,103,96,97,86,93,98,95,2,77,74,73,72,67,65,193,261,248,199,110,109,108,107,106,105,104,177,62,61,60,59,58])).
% 0.77/0.85 cnf(387,plain,
% 0.77/0.85 (E(f28(a1),f28(a2))),
% 0.77/0.85 inference(scs_inference,[],[78,79,80,81,82,84,85,99,100,103,96,97,86,93,98,95,2,77,74,73,72,67,65,193,261,248,199,110,109,108,107,106,105,104,177,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 0.77/0.85 cnf(493,plain,
% 0.77/0.85 ($false),
% 0.77/0.85 inference(scs_inference,[],[83,102,90,101,99,81,100,79,332,333,311,305,387,319,117,154,260,142,145,212,234,73,68,3,141,169,213,233,2]),
% 0.77/0.85 ['proof']).
% 0.77/0.85 % SZS output end Proof
% 0.77/0.85 % Total time :0.140000s
%------------------------------------------------------------------------------