TSTP Solution File: NUM615+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM615+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 10:23:43 EDT 2023
% Result : Theorem 0.63s 0.75s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : NUM615+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.32 % Computer : n031.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Fri Aug 25 11:33:22 EDT 2023
% 0.13/0.32 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.63/0.73 %-------------------------------------------
% 0.63/0.73 % File :CSE---1.6
% 0.63/0.73 % Problem :theBenchmark
% 0.63/0.73 % Transform :cnf
% 0.63/0.73 % Format :tptp:raw
% 0.63/0.73 % Command :java -jar mcs_scs.jar %d %s
% 0.63/0.73
% 0.63/0.73 % Result :Theorem 0.050000s
% 0.63/0.73 % Output :CNFRefutation 0.050000s
% 0.63/0.73 %-------------------------------------------
% 0.63/0.73 %------------------------------------------------------------------------------
% 0.63/0.73 % File : NUM615+1 : TPTP v8.1.2. Released v4.0.0.
% 0.63/0.73 % Domain : Number Theory
% 0.63/0.73 % Problem : Ramsey's Infinite Theorem 15_02_23_09, 00 expansion
% 0.63/0.73 % Version : Especial.
% 0.63/0.73 % English :
% 0.63/0.73
% 0.63/0.73 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.63/0.73 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.63/0.73 % Source : [Pas08]
% 0.63/0.73 % Names : ramsey_15_02_23_09.00 [Pas08]
% 0.63/0.73
% 0.63/0.73 % Status : Theorem
% 0.63/0.73 % Rating : 0.28 v8.1.0, 0.25 v7.4.0, 0.20 v7.3.0, 0.24 v7.2.0, 0.21 v7.1.0, 0.22 v7.0.0, 0.23 v6.4.0, 0.27 v6.3.0, 0.21 v6.2.0, 0.16 v6.1.0, 0.27 v6.0.0, 0.26 v5.5.0, 0.41 v5.4.0, 0.46 v5.3.0, 0.52 v5.2.0, 0.35 v5.1.0, 0.48 v5.0.0, 0.58 v4.1.0, 0.65 v4.0.1, 0.83 v4.0.0
% 0.63/0.73 % Syntax : Number of formulae : 111 ( 18 unt; 11 def)
% 0.63/0.73 % Number of atoms : 402 ( 73 equ)
% 0.63/0.73 % Maximal formula atoms : 12 ( 3 avg)
% 0.63/0.73 % Number of connectives : 316 ( 25 ~; 4 |; 130 &)
% 0.63/0.73 % ( 22 <=>; 135 =>; 0 <=; 0 <~>)
% 0.63/0.73 % Maximal formula depth : 15 ( 5 avg)
% 0.63/0.73 % Maximal term depth : 5 ( 1 avg)
% 0.63/0.73 % Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% 0.63/0.73 % Number of functors : 30 ( 30 usr; 16 con; 0-2 aty)
% 0.63/0.73 % Number of variables : 172 ( 159 !; 13 ?)
% 0.63/0.73 % SPC : FOF_THM_RFO_SEQ
% 0.63/0.73
% 0.63/0.73 % Comments : Problem generated by the SAD system [VLP07]
% 0.63/0.73 %------------------------------------------------------------------------------
% 0.63/0.73 fof(mSetSort,axiom,
% 0.63/0.73 ! [W0] :
% 0.63/0.73 ( aSet0(W0)
% 0.63/0.73 => $true ) ).
% 0.63/0.73
% 0.63/0.73 fof(mElmSort,axiom,
% 0.63/0.73 ! [W0] :
% 0.63/0.73 ( aElement0(W0)
% 0.63/0.73 => $true ) ).
% 0.63/0.73
% 0.63/0.73 fof(mEOfElem,axiom,
% 0.63/0.73 ! [W0] :
% 0.63/0.73 ( aSet0(W0)
% 0.63/0.73 => ! [W1] :
% 0.63/0.73 ( aElementOf0(W1,W0)
% 0.63/0.73 => aElement0(W1) ) ) ).
% 0.63/0.73
% 0.63/0.73 fof(mFinRel,axiom,
% 0.63/0.73 ! [W0] :
% 0.63/0.73 ( aSet0(W0)
% 0.63/0.73 => ( isFinite0(W0)
% 0.63/0.73 => $true ) ) ).
% 0.63/0.73
% 0.63/0.73 fof(mDefEmp,definition,
% 0.63/0.73 ! [W0] :
% 0.63/0.73 ( W0 = slcrc0
% 0.63/0.73 <=> ( aSet0(W0)
% 0.63/0.73 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ).
% 0.63/0.73
% 0.63/0.73 fof(mEmpFin,axiom,
% 0.63/0.73 isFinite0(slcrc0) ).
% 0.63/0.73
% 0.63/0.73 fof(mCntRel,axiom,
% 0.63/0.73 ! [W0] :
% 0.63/0.73 ( aSet0(W0)
% 0.63/0.73 => ( isCountable0(W0)
% 0.63/0.73 => $true ) ) ).
% 0.63/0.73
% 0.63/0.73 fof(mCountNFin,axiom,
% 0.63/0.73 ! [W0] :
% 0.63/0.73 ( ( aSet0(W0)
% 0.63/0.73 & isCountable0(W0) )
% 0.63/0.73 => ~ isFinite0(W0) ) ).
% 0.63/0.73
% 0.63/0.73 fof(mCountNFin_01,axiom,
% 0.63/0.73 ! [W0] :
% 0.63/0.73 ( ( aSet0(W0)
% 0.63/0.73 & isCountable0(W0) )
% 0.63/0.73 => W0 != slcrc0 ) ).
% 0.63/0.73
% 0.63/0.73 fof(mDefSub,definition,
% 0.63/0.73 ! [W0] :
% 0.63/0.73 ( aSet0(W0)
% 0.63/0.73 => ! [W1] :
% 0.63/0.73 ( aSubsetOf0(W1,W0)
% 0.63/0.73 <=> ( aSet0(W1)
% 0.63/0.73 & ! [W2] :
% 0.63/0.73 ( aElementOf0(W2,W1)
% 0.63/0.73 => aElementOf0(W2,W0) ) ) ) ) ).
% 0.63/0.73
% 0.63/0.73 fof(mSubFSet,axiom,
% 0.63/0.73 ! [W0] :
% 0.63/0.73 ( ( aSet0(W0)
% 0.63/0.73 & isFinite0(W0) )
% 0.63/0.73 => ! [W1] :
% 0.63/0.73 ( aSubsetOf0(W1,W0)
% 0.63/0.73 => isFinite0(W1) ) ) ).
% 0.63/0.73
% 0.63/0.74 fof(mSubRefl,axiom,
% 0.63/0.74 ! [W0] :
% 0.63/0.74 ( aSet0(W0)
% 0.63/0.74 => aSubsetOf0(W0,W0) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mSubASymm,axiom,
% 0.63/0.74 ! [W0,W1] :
% 0.63/0.74 ( ( aSet0(W0)
% 0.63/0.74 & aSet0(W1) )
% 0.63/0.74 => ( ( aSubsetOf0(W0,W1)
% 0.63/0.74 & aSubsetOf0(W1,W0) )
% 0.63/0.74 => W0 = W1 ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mSubTrans,axiom,
% 0.63/0.74 ! [W0,W1,W2] :
% 0.63/0.74 ( ( aSet0(W0)
% 0.63/0.74 & aSet0(W1)
% 0.63/0.74 & aSet0(W2) )
% 0.63/0.74 => ( ( aSubsetOf0(W0,W1)
% 0.63/0.74 & aSubsetOf0(W1,W2) )
% 0.63/0.74 => aSubsetOf0(W0,W2) ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mDefCons,definition,
% 0.63/0.74 ! [W0,W1] :
% 0.63/0.74 ( ( aSet0(W0)
% 0.63/0.74 & aElement0(W1) )
% 0.63/0.74 => ! [W2] :
% 0.63/0.74 ( W2 = sdtpldt0(W0,W1)
% 0.63/0.74 <=> ( aSet0(W2)
% 0.63/0.74 & ! [W3] :
% 0.63/0.74 ( aElementOf0(W3,W2)
% 0.63/0.74 <=> ( aElement0(W3)
% 0.63/0.74 & ( aElementOf0(W3,W0)
% 0.63/0.74 | W3 = W1 ) ) ) ) ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mDefDiff,definition,
% 0.63/0.74 ! [W0,W1] :
% 0.63/0.74 ( ( aSet0(W0)
% 0.63/0.74 & aElement0(W1) )
% 0.63/0.74 => ! [W2] :
% 0.63/0.74 ( W2 = sdtmndt0(W0,W1)
% 0.63/0.74 <=> ( aSet0(W2)
% 0.63/0.74 & ! [W3] :
% 0.63/0.74 ( aElementOf0(W3,W2)
% 0.63/0.74 <=> ( aElement0(W3)
% 0.63/0.74 & aElementOf0(W3,W0)
% 0.63/0.74 & W3 != W1 ) ) ) ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mConsDiff,axiom,
% 0.63/0.74 ! [W0] :
% 0.63/0.74 ( aSet0(W0)
% 0.63/0.74 => ! [W1] :
% 0.63/0.74 ( aElementOf0(W1,W0)
% 0.63/0.74 => sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mDiffCons,axiom,
% 0.63/0.74 ! [W0,W1] :
% 0.63/0.74 ( ( aElement0(W0)
% 0.63/0.74 & aSet0(W1) )
% 0.63/0.74 => ( ~ aElementOf0(W0,W1)
% 0.63/0.74 => sdtmndt0(sdtpldt0(W1,W0),W0) = W1 ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mCConsSet,axiom,
% 0.63/0.74 ! [W0] :
% 0.63/0.74 ( aElement0(W0)
% 0.63/0.74 => ! [W1] :
% 0.63/0.74 ( ( aSet0(W1)
% 0.63/0.74 & isCountable0(W1) )
% 0.63/0.74 => isCountable0(sdtpldt0(W1,W0)) ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mCDiffSet,axiom,
% 0.63/0.74 ! [W0] :
% 0.63/0.74 ( aElement0(W0)
% 0.63/0.74 => ! [W1] :
% 0.63/0.74 ( ( aSet0(W1)
% 0.63/0.74 & isCountable0(W1) )
% 0.63/0.74 => isCountable0(sdtmndt0(W1,W0)) ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mFConsSet,axiom,
% 0.63/0.74 ! [W0] :
% 0.63/0.74 ( aElement0(W0)
% 0.63/0.74 => ! [W1] :
% 0.63/0.74 ( ( aSet0(W1)
% 0.63/0.74 & isFinite0(W1) )
% 0.63/0.74 => isFinite0(sdtpldt0(W1,W0)) ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mFDiffSet,axiom,
% 0.63/0.74 ! [W0] :
% 0.63/0.74 ( aElement0(W0)
% 0.63/0.74 => ! [W1] :
% 0.63/0.74 ( ( aSet0(W1)
% 0.63/0.74 & isFinite0(W1) )
% 0.63/0.74 => isFinite0(sdtmndt0(W1,W0)) ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mNATSet,axiom,
% 0.63/0.74 ( aSet0(szNzAzT0)
% 0.63/0.74 & isCountable0(szNzAzT0) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mZeroNum,axiom,
% 0.63/0.74 aElementOf0(sz00,szNzAzT0) ).
% 0.63/0.74
% 0.63/0.74 fof(mSuccNum,axiom,
% 0.63/0.74 ! [W0] :
% 0.63/0.74 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.74 => ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
% 0.63/0.74 & szszuzczcdt0(W0) != sz00 ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mSuccEquSucc,axiom,
% 0.63/0.74 ! [W0,W1] :
% 0.63/0.74 ( ( aElementOf0(W0,szNzAzT0)
% 0.63/0.74 & aElementOf0(W1,szNzAzT0) )
% 0.63/0.74 => ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
% 0.63/0.74 => W0 = W1 ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mNatExtra,axiom,
% 0.63/0.74 ! [W0] :
% 0.63/0.74 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.74 => ( W0 = sz00
% 0.63/0.74 | ? [W1] :
% 0.63/0.74 ( aElementOf0(W1,szNzAzT0)
% 0.63/0.74 & W0 = szszuzczcdt0(W1) ) ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mNatNSucc,axiom,
% 0.63/0.74 ! [W0] :
% 0.63/0.74 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.74 => W0 != szszuzczcdt0(W0) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mLessRel,axiom,
% 0.63/0.74 ! [W0,W1] :
% 0.63/0.74 ( ( aElementOf0(W0,szNzAzT0)
% 0.63/0.74 & aElementOf0(W1,szNzAzT0) )
% 0.63/0.74 => ( sdtlseqdt0(W0,W1)
% 0.63/0.74 => $true ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mZeroLess,axiom,
% 0.63/0.74 ! [W0] :
% 0.63/0.74 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.74 => sdtlseqdt0(sz00,W0) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mNoScLessZr,axiom,
% 0.63/0.74 ! [W0] :
% 0.63/0.74 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.74 => ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mSuccLess,axiom,
% 0.63/0.74 ! [W0,W1] :
% 0.63/0.74 ( ( aElementOf0(W0,szNzAzT0)
% 0.63/0.74 & aElementOf0(W1,szNzAzT0) )
% 0.63/0.74 => ( sdtlseqdt0(W0,W1)
% 0.63/0.74 <=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mLessSucc,axiom,
% 0.63/0.74 ! [W0] :
% 0.63/0.74 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.74 => sdtlseqdt0(W0,szszuzczcdt0(W0)) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mLessRefl,axiom,
% 0.63/0.74 ! [W0] :
% 0.63/0.74 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.74 => sdtlseqdt0(W0,W0) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mLessASymm,axiom,
% 0.63/0.74 ! [W0,W1] :
% 0.63/0.74 ( ( aElementOf0(W0,szNzAzT0)
% 0.63/0.74 & aElementOf0(W1,szNzAzT0) )
% 0.63/0.74 => ( ( sdtlseqdt0(W0,W1)
% 0.63/0.74 & sdtlseqdt0(W1,W0) )
% 0.63/0.74 => W0 = W1 ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mLessTrans,axiom,
% 0.63/0.74 ! [W0,W1,W2] :
% 0.63/0.74 ( ( aElementOf0(W0,szNzAzT0)
% 0.63/0.74 & aElementOf0(W1,szNzAzT0)
% 0.63/0.74 & aElementOf0(W2,szNzAzT0) )
% 0.63/0.74 => ( ( sdtlseqdt0(W0,W1)
% 0.63/0.74 & sdtlseqdt0(W1,W2) )
% 0.63/0.74 => sdtlseqdt0(W0,W2) ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mLessTotal,axiom,
% 0.63/0.74 ! [W0,W1] :
% 0.63/0.74 ( ( aElementOf0(W0,szNzAzT0)
% 0.63/0.74 & aElementOf0(W1,szNzAzT0) )
% 0.63/0.74 => ( sdtlseqdt0(W0,W1)
% 0.63/0.74 | sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mIHSort,axiom,
% 0.63/0.74 ! [W0,W1] :
% 0.63/0.74 ( ( aElementOf0(W0,szNzAzT0)
% 0.63/0.74 & aElementOf0(W1,szNzAzT0) )
% 0.63/0.74 => ( iLess0(W0,W1)
% 0.63/0.74 => $true ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mIH,axiom,
% 0.63/0.74 ! [W0] :
% 0.63/0.74 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.74 => iLess0(W0,szszuzczcdt0(W0)) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mCardS,axiom,
% 0.63/0.74 ! [W0] :
% 0.63/0.74 ( aSet0(W0)
% 0.63/0.74 => aElement0(sbrdtbr0(W0)) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mCardNum,axiom,
% 0.63/0.74 ! [W0] :
% 0.63/0.74 ( aSet0(W0)
% 0.63/0.74 => ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
% 0.63/0.74 <=> isFinite0(W0) ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mCardEmpty,axiom,
% 0.63/0.74 ! [W0] :
% 0.63/0.74 ( aSet0(W0)
% 0.63/0.74 => ( sbrdtbr0(W0) = sz00
% 0.63/0.74 <=> W0 = slcrc0 ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mCardCons,axiom,
% 0.63/0.74 ! [W0] :
% 0.63/0.74 ( ( aSet0(W0)
% 0.63/0.74 & isFinite0(W0) )
% 0.63/0.74 => ! [W1] :
% 0.63/0.74 ( aElement0(W1)
% 0.63/0.74 => ( ~ aElementOf0(W1,W0)
% 0.63/0.74 => sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mCardDiff,axiom,
% 0.63/0.74 ! [W0] :
% 0.63/0.74 ( aSet0(W0)
% 0.63/0.74 => ! [W1] :
% 0.63/0.74 ( ( isFinite0(W0)
% 0.63/0.74 & aElementOf0(W1,W0) )
% 0.63/0.74 => szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1))) = sbrdtbr0(W0) ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mCardSub,axiom,
% 0.63/0.74 ! [W0] :
% 0.63/0.74 ( aSet0(W0)
% 0.63/0.74 => ! [W1] :
% 0.63/0.74 ( ( isFinite0(W0)
% 0.63/0.74 & aSubsetOf0(W1,W0) )
% 0.63/0.74 => sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mCardSubEx,axiom,
% 0.63/0.74 ! [W0,W1] :
% 0.63/0.74 ( ( aSet0(W0)
% 0.63/0.74 & aElementOf0(W1,szNzAzT0) )
% 0.63/0.74 => ( ( isFinite0(W0)
% 0.63/0.74 & sdtlseqdt0(W1,sbrdtbr0(W0)) )
% 0.63/0.74 => ? [W2] :
% 0.63/0.74 ( aSubsetOf0(W2,W0)
% 0.63/0.74 & sbrdtbr0(W2) = W1 ) ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mDefMin,definition,
% 0.63/0.74 ! [W0] :
% 0.63/0.74 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.63/0.74 & W0 != slcrc0 )
% 0.63/0.74 => ! [W1] :
% 0.63/0.74 ( W1 = szmzizndt0(W0)
% 0.63/0.74 <=> ( aElementOf0(W1,W0)
% 0.63/0.74 & ! [W2] :
% 0.63/0.74 ( aElementOf0(W2,W0)
% 0.63/0.74 => sdtlseqdt0(W1,W2) ) ) ) ) ).
% 0.63/0.74
% 0.63/0.74 fof(mDefMax,definition,
% 0.63/0.74 ! [W0] :
% 0.63/0.74 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.63/0.74 & isFinite0(W0)
% 0.63/0.75 & W0 != slcrc0 )
% 0.63/0.75 => ! [W1] :
% 0.63/0.75 ( W1 = szmzazxdt0(W0)
% 0.63/0.75 <=> ( aElementOf0(W1,W0)
% 0.63/0.75 & ! [W2] :
% 0.63/0.75 ( aElementOf0(W2,W0)
% 0.63/0.75 => sdtlseqdt0(W2,W1) ) ) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(mMinMin,axiom,
% 0.63/0.75 ! [W0,W1] :
% 0.63/0.75 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.63/0.75 & aSubsetOf0(W1,szNzAzT0)
% 0.63/0.75 & W0 != slcrc0
% 0.63/0.75 & W1 != slcrc0 )
% 0.63/0.75 => ( ( aElementOf0(szmzizndt0(W0),W1)
% 0.63/0.75 & aElementOf0(szmzizndt0(W1),W0) )
% 0.63/0.75 => szmzizndt0(W0) = szmzizndt0(W1) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(mDefSeg,definition,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.75 => ! [W1] :
% 0.63/0.75 ( W1 = slbdtrb0(W0)
% 0.63/0.75 <=> ( aSet0(W1)
% 0.63/0.75 & ! [W2] :
% 0.63/0.75 ( aElementOf0(W2,W1)
% 0.63/0.75 <=> ( aElementOf0(W2,szNzAzT0)
% 0.63/0.75 & sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(mSegFin,axiom,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.75 => isFinite0(slbdtrb0(W0)) ) ).
% 0.63/0.75
% 0.63/0.75 fof(mSegZero,axiom,
% 0.63/0.75 slbdtrb0(sz00) = slcrc0 ).
% 0.63/0.75
% 0.63/0.75 fof(mSegSucc,axiom,
% 0.63/0.75 ! [W0,W1] :
% 0.63/0.75 ( ( aElementOf0(W0,szNzAzT0)
% 0.63/0.75 & aElementOf0(W1,szNzAzT0) )
% 0.63/0.75 => ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1)))
% 0.63/0.75 <=> ( aElementOf0(W0,slbdtrb0(W1))
% 0.63/0.75 | W0 = W1 ) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(mSegLess,axiom,
% 0.63/0.75 ! [W0,W1] :
% 0.63/0.75 ( ( aElementOf0(W0,szNzAzT0)
% 0.63/0.75 & aElementOf0(W1,szNzAzT0) )
% 0.63/0.75 => ( sdtlseqdt0(W0,W1)
% 0.63/0.75 <=> aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(mFinSubSeg,axiom,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( ( aSubsetOf0(W0,szNzAzT0)
% 0.63/0.75 & isFinite0(W0) )
% 0.63/0.75 => ? [W1] :
% 0.63/0.75 ( aElementOf0(W1,szNzAzT0)
% 0.63/0.75 & aSubsetOf0(W0,slbdtrb0(W1)) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(mCardSeg,axiom,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.75 => sbrdtbr0(slbdtrb0(W0)) = W0 ) ).
% 0.63/0.75
% 0.63/0.75 fof(mDefSel,definition,
% 0.63/0.75 ! [W0,W1] :
% 0.63/0.75 ( ( aSet0(W0)
% 0.63/0.75 & aElementOf0(W1,szNzAzT0) )
% 0.63/0.75 => ! [W2] :
% 0.63/0.75 ( W2 = slbdtsldtrb0(W0,W1)
% 0.63/0.75 <=> ( aSet0(W2)
% 0.63/0.75 & ! [W3] :
% 0.63/0.75 ( aElementOf0(W3,W2)
% 0.63/0.75 <=> ( aSubsetOf0(W3,W0)
% 0.63/0.75 & sbrdtbr0(W3) = W1 ) ) ) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(mSelFSet,axiom,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( ( aSet0(W0)
% 0.63/0.75 & isFinite0(W0) )
% 0.63/0.75 => ! [W1] :
% 0.63/0.75 ( aElementOf0(W1,szNzAzT0)
% 0.63/0.75 => isFinite0(slbdtsldtrb0(W0,W1)) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(mSelNSet,axiom,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( ( aSet0(W0)
% 0.63/0.75 & ~ isFinite0(W0) )
% 0.63/0.75 => ! [W1] :
% 0.63/0.75 ( aElementOf0(W1,szNzAzT0)
% 0.63/0.75 => slbdtsldtrb0(W0,W1) != slcrc0 ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(mSelCSet,axiom,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( ( aSet0(W0)
% 0.63/0.75 & isCountable0(W0) )
% 0.63/0.75 => ! [W1] :
% 0.63/0.75 ( ( aElementOf0(W1,szNzAzT0)
% 0.63/0.75 & W1 != sz00 )
% 0.63/0.75 => isCountable0(slbdtsldtrb0(W0,W1)) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(mSelSub,axiom,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.75 => ! [W1,W2] :
% 0.63/0.75 ( ( aSet0(W1)
% 0.63/0.75 & aSet0(W2)
% 0.63/0.75 & W0 != sz00 )
% 0.63/0.75 => ( ( aSubsetOf0(slbdtsldtrb0(W1,W0),slbdtsldtrb0(W2,W0))
% 0.63/0.75 & slbdtsldtrb0(W1,W0) != slcrc0 )
% 0.63/0.75 => aSubsetOf0(W1,W2) ) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(mSelExtra,axiom,
% 0.63/0.75 ! [W0,W1] :
% 0.63/0.75 ( ( aSet0(W0)
% 0.63/0.75 & aElementOf0(W1,szNzAzT0) )
% 0.63/0.75 => ! [W2] :
% 0.63/0.75 ( ( aSubsetOf0(W2,slbdtsldtrb0(W0,W1))
% 0.63/0.75 & isFinite0(W2) )
% 0.63/0.75 => ? [W3] :
% 0.63/0.75 ( aSubsetOf0(W3,W0)
% 0.63/0.75 & isFinite0(W3)
% 0.63/0.75 & aSubsetOf0(W2,slbdtsldtrb0(W3,W1)) ) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(mFunSort,axiom,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( aFunction0(W0)
% 0.63/0.75 => $true ) ).
% 0.63/0.75
% 0.63/0.75 fof(mDomSet,axiom,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( aFunction0(W0)
% 0.63/0.75 => aSet0(szDzozmdt0(W0)) ) ).
% 0.63/0.75
% 0.63/0.75 fof(mImgElm,axiom,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( aFunction0(W0)
% 0.63/0.75 => ! [W1] :
% 0.63/0.75 ( aElementOf0(W1,szDzozmdt0(W0))
% 0.63/0.75 => aElement0(sdtlpdtrp0(W0,W1)) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(mDefPtt,definition,
% 0.63/0.75 ! [W0,W1] :
% 0.63/0.75 ( ( aFunction0(W0)
% 0.63/0.75 & aElement0(W1) )
% 0.63/0.75 => ! [W2] :
% 0.63/0.75 ( W2 = sdtlbdtrb0(W0,W1)
% 0.63/0.75 <=> ( aSet0(W2)
% 0.63/0.75 & ! [W3] :
% 0.63/0.75 ( aElementOf0(W3,W2)
% 0.63/0.75 <=> ( aElementOf0(W3,szDzozmdt0(W0))
% 0.63/0.75 & sdtlpdtrp0(W0,W3) = W1 ) ) ) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(mPttSet,axiom,
% 0.63/0.75 ! [W0,W1] :
% 0.63/0.75 ( ( aFunction0(W0)
% 0.63/0.75 & aElement0(W1) )
% 0.63/0.75 => aSubsetOf0(sdtlbdtrb0(W0,W1),szDzozmdt0(W0)) ) ).
% 0.63/0.75
% 0.63/0.75 fof(mDefSImg,definition,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( aFunction0(W0)
% 0.63/0.75 => ! [W1] :
% 0.63/0.75 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 0.63/0.75 => ! [W2] :
% 0.63/0.75 ( W2 = sdtlcdtrc0(W0,W1)
% 0.63/0.75 <=> ( aSet0(W2)
% 0.63/0.75 & ! [W3] :
% 0.63/0.75 ( aElementOf0(W3,W2)
% 0.63/0.75 <=> ? [W4] :
% 0.63/0.75 ( aElementOf0(W4,W1)
% 0.63/0.75 & sdtlpdtrp0(W0,W4) = W3 ) ) ) ) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(mImgRng,axiom,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( aFunction0(W0)
% 0.63/0.75 => ! [W1] :
% 0.63/0.75 ( aElementOf0(W1,szDzozmdt0(W0))
% 0.63/0.75 => aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(mDefRst,definition,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( aFunction0(W0)
% 0.63/0.75 => ! [W1] :
% 0.63/0.75 ( aSubsetOf0(W1,szDzozmdt0(W0))
% 0.63/0.75 => ! [W2] :
% 0.63/0.75 ( W2 = sdtexdt0(W0,W1)
% 0.63/0.75 <=> ( aFunction0(W2)
% 0.63/0.75 & szDzozmdt0(W2) = W1
% 0.63/0.75 & ! [W3] :
% 0.63/0.75 ( aElementOf0(W3,W1)
% 0.63/0.75 => sdtlpdtrp0(W2,W3) = sdtlpdtrp0(W0,W3) ) ) ) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(mImgCount,axiom,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( aFunction0(W0)
% 0.63/0.75 => ! [W1] :
% 0.63/0.75 ( ( aSubsetOf0(W1,szDzozmdt0(W0))
% 0.63/0.75 & isCountable0(W1) )
% 0.63/0.75 => ( ! [W2,W3] :
% 0.63/0.75 ( ( aElementOf0(W2,szDzozmdt0(W0))
% 0.63/0.75 & aElementOf0(W3,szDzozmdt0(W0))
% 0.63/0.75 & W2 != W3 )
% 0.63/0.75 => sdtlpdtrp0(W0,W2) != sdtlpdtrp0(W0,W3) )
% 0.63/0.75 => isCountable0(sdtlcdtrc0(W0,W1)) ) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(mDirichlet,axiom,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( aFunction0(W0)
% 0.63/0.75 => ( ( isCountable0(szDzozmdt0(W0))
% 0.63/0.75 & isFinite0(sdtlcdtrc0(W0,szDzozmdt0(W0))) )
% 0.63/0.75 => ( aElement0(szDzizrdt0(W0))
% 0.63/0.75 & isCountable0(sdtlbdtrb0(W0,szDzizrdt0(W0))) ) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__3291,hypothesis,
% 0.63/0.75 ( aSet0(xT)
% 0.63/0.75 & isFinite0(xT) ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__3418,hypothesis,
% 0.63/0.75 aElementOf0(xK,szNzAzT0) ).
% 0.63/0.75
% 0.63/0.75 fof(m__3435,hypothesis,
% 0.63/0.75 ( aSubsetOf0(xS,szNzAzT0)
% 0.63/0.75 & isCountable0(xS) ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__3453,hypothesis,
% 0.63/0.75 ( aFunction0(xc)
% 0.63/0.75 & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
% 0.63/0.75 & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__3398,hypothesis,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.75 => ! [W1] :
% 0.63/0.75 ( ( aSubsetOf0(W1,szNzAzT0)
% 0.63/0.75 & isCountable0(W1) )
% 0.63/0.75 => ! [W2] :
% 0.63/0.75 ( ( aFunction0(W2)
% 0.63/0.75 & szDzozmdt0(W2) = slbdtsldtrb0(W1,W0)
% 0.63/0.75 & aSubsetOf0(sdtlcdtrc0(W2,szDzozmdt0(W2)),xT) )
% 0.63/0.75 => ( iLess0(W0,xK)
% 0.63/0.75 => ? [W3] :
% 0.63/0.75 ( aElementOf0(W3,xT)
% 0.63/0.75 & ? [W4] :
% 0.63/0.75 ( aSubsetOf0(W4,W1)
% 0.63/0.75 & isCountable0(W4)
% 0.63/0.75 & ! [W5] :
% 0.63/0.75 ( aElementOf0(W5,slbdtsldtrb0(W4,W0))
% 0.63/0.75 => sdtlpdtrp0(W2,W5) = W3 ) ) ) ) ) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__3462,hypothesis,
% 0.63/0.75 xK != sz00 ).
% 0.63/0.75
% 0.63/0.75 fof(m__3520,hypothesis,
% 0.63/0.75 xK != sz00 ).
% 0.63/0.75
% 0.63/0.75 fof(m__3533,hypothesis,
% 0.63/0.75 ( aElementOf0(xk,szNzAzT0)
% 0.63/0.75 & szszuzczcdt0(xk) = xK ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__3623,hypothesis,
% 0.63/0.75 ( aFunction0(xN)
% 0.63/0.75 & szDzozmdt0(xN) = szNzAzT0
% 0.63/0.75 & sdtlpdtrp0(xN,sz00) = xS
% 0.63/0.75 & ! [W0] :
% 0.63/0.75 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.75 => ( ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
% 0.63/0.75 & isCountable0(sdtlpdtrp0(xN,W0)) )
% 0.63/0.75 => ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 0.63/0.75 & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__3671,hypothesis,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.75 => ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
% 0.63/0.75 & isCountable0(sdtlpdtrp0(xN,W0)) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__3754,hypothesis,
% 0.63/0.75 ! [W0,W1] :
% 0.63/0.75 ( ( aElementOf0(W0,szNzAzT0)
% 0.63/0.75 & aElementOf0(W1,szNzAzT0) )
% 0.63/0.75 => ( sdtlseqdt0(W1,W0)
% 0.63/0.75 => aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__3821,hypothesis,
% 0.63/0.75 ! [W0,W1] :
% 0.63/0.75 ( ( aElementOf0(W0,szNzAzT0)
% 0.63/0.75 & aElementOf0(W1,szNzAzT0)
% 0.63/0.75 & W0 != W1 )
% 0.63/0.75 => szmzizndt0(sdtlpdtrp0(xN,W0)) != szmzizndt0(sdtlpdtrp0(xN,W1)) ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__3965,hypothesis,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.75 => ! [W1] :
% 0.63/0.75 ( ( aSet0(W1)
% 0.63/0.75 & aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) )
% 0.63/0.75 => aElementOf0(sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))),slbdtsldtrb0(xS,xK)) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__4151,hypothesis,
% 0.63/0.75 ( aFunction0(xC)
% 0.63/0.75 & szDzozmdt0(xC) = szNzAzT0
% 0.63/0.75 & ! [W0] :
% 0.63/0.75 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.75 => ( aFunction0(sdtlpdtrp0(xC,W0))
% 0.63/0.75 & szDzozmdt0(sdtlpdtrp0(xC,W0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)
% 0.63/0.75 & ! [W1] :
% 0.63/0.75 ( ( aSet0(W1)
% 0.63/0.75 & aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) )
% 0.63/0.75 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) = sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__4182,hypothesis,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.75 => aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,W0),szDzozmdt0(sdtlpdtrp0(xC,W0))),xT) ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__4331,hypothesis,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.75 => ! [W1] :
% 0.63/0.75 ( ( aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 0.63/0.75 & isCountable0(W1) )
% 0.63/0.75 => ! [W2] :
% 0.63/0.75 ( ( aSet0(W2)
% 0.63/0.75 & aElementOf0(W2,slbdtsldtrb0(W1,xk)) )
% 0.63/0.75 => aElementOf0(W2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) ) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__4411,hypothesis,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.75 => ? [W1] :
% 0.63/0.75 ( aElementOf0(W1,xT)
% 0.63/0.75 & ? [W2] :
% 0.63/0.75 ( aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
% 0.63/0.75 & isCountable0(W2)
% 0.63/0.75 & ! [W3] :
% 0.63/0.75 ( ( aSet0(W3)
% 0.63/0.75 & aElementOf0(W3,slbdtsldtrb0(W2,xk)) )
% 0.63/0.75 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W3) = W1 ) ) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__4618,hypothesis,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.75 => ? [W1] :
% 0.63/0.75 ( aElementOf0(W1,xT)
% 0.63/0.75 & ! [W2] :
% 0.63/0.75 ( ( aSet0(W2)
% 0.63/0.75 & aElementOf0(W2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) )
% 0.63/0.75 => sdtlpdtrp0(sdtlpdtrp0(xC,W0),W2) = W1 ) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__4660,hypothesis,
% 0.63/0.75 ( aFunction0(xe)
% 0.63/0.75 & szDzozmdt0(xe) = szNzAzT0
% 0.63/0.75 & ! [W0] :
% 0.63/0.75 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.75 => sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__4730,hypothesis,
% 0.63/0.75 ( aFunction0(xd)
% 0.63/0.75 & szDzozmdt0(xd) = szNzAzT0
% 0.63/0.75 & ! [W0] :
% 0.63/0.75 ( aElementOf0(W0,szNzAzT0)
% 0.63/0.75 => ! [W1] :
% 0.63/0.75 ( ( aSet0(W1)
% 0.63/0.75 & aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) )
% 0.63/0.75 => sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) ) ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__4758,hypothesis,
% 0.63/0.75 aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ).
% 0.63/0.75
% 0.63/0.75 fof(m__4854,hypothesis,
% 0.63/0.75 ( aElementOf0(szDzizrdt0(xd),xT)
% 0.63/0.75 & isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__4891,hypothesis,
% 0.63/0.75 ( aSet0(xO)
% 0.63/0.75 & xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__4908,hypothesis,
% 0.63/0.75 ( aSet0(xO)
% 0.63/0.75 & isCountable0(xO) ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__4982,hypothesis,
% 0.63/0.75 ! [W0] :
% 0.63/0.75 ( aElementOf0(W0,xO)
% 0.63/0.75 => ? [W1] :
% 0.63/0.75 ( aElementOf0(W1,szNzAzT0)
% 0.63/0.75 & aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
% 0.63/0.75 & sdtlpdtrp0(xe,W1) = W0 ) ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__4998,hypothesis,
% 0.63/0.75 aSubsetOf0(xO,xS) ).
% 0.63/0.75
% 0.63/0.75 fof(m__5078,hypothesis,
% 0.63/0.75 aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ).
% 0.63/0.75
% 0.63/0.75 fof(m__5093,hypothesis,
% 0.63/0.75 ( aSubsetOf0(xQ,xO)
% 0.63/0.75 & xQ != slcrc0 ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__5106,hypothesis,
% 0.63/0.75 aSubsetOf0(xQ,szNzAzT0) ).
% 0.63/0.75
% 0.63/0.75 fof(m__5116,hypothesis,
% 0.63/0.75 aElementOf0(xQ,szDzozmdt0(xc)) ).
% 0.63/0.75
% 0.63/0.75 fof(m__5147,hypothesis,
% 0.63/0.75 xp = szmzizndt0(xQ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__5164,hypothesis,
% 0.63/0.75 ( aSet0(xP)
% 0.63/0.75 & xP = sdtmndt0(xQ,szmzizndt0(xQ)) ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__5173,hypothesis,
% 0.63/0.75 aElementOf0(xp,xQ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__5182,hypothesis,
% 0.63/0.75 aElementOf0(xp,xO) ).
% 0.63/0.75
% 0.63/0.75 fof(m__5195,hypothesis,
% 0.63/0.75 aSubsetOf0(xP,xQ) ).
% 0.63/0.75
% 0.63/0.75 fof(m__5208,hypothesis,
% 0.63/0.75 aSubsetOf0(xP,xO) ).
% 0.63/0.75
% 0.63/0.75 fof(m__5217,hypothesis,
% 0.63/0.75 sbrdtbr0(xP) = xk ).
% 0.63/0.75
% 0.63/0.75 fof(m__5270,hypothesis,
% 0.63/0.75 aElementOf0(xP,slbdtsldtrb0(xO,xk)) ).
% 0.63/0.75
% 0.63/0.75 fof(m__,conjecture,
% 0.63/0.75 ? [W0] :
% 0.63/0.75 ( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
% 0.63/0.75 & sdtlpdtrp0(xe,W0) = xp ) ).
% 0.63/0.75
% 0.63/0.75 %------------------------------------------------------------------------------
% 0.63/0.75 %-------------------------------------------
% 0.63/0.75 % Proof found
% 0.63/0.75 % SZS status Theorem for theBenchmark
% 0.63/0.75 % SZS output start Proof
% 0.63/0.75 %ClaNum:300(EqnAxiom:92)
% 0.63/0.75 %VarNum:1231(SingletonVarNum:359)
% 0.63/0.75 %MaxLitNum:9
% 0.63/0.75 %MaxfuncDepth:4
% 0.63/0.75 %SharedTerms:81
% 0.63/0.75 %goalClause: 226
% 0.63/0.75 [101]P1(a41)
% 0.63/0.75 [102]P1(a53)
% 0.63/0.75 [104]P1(a48)
% 0.63/0.75 [105]P1(a46)
% 0.63/0.75 [106]P5(a37)
% 0.63/0.75 [107]P5(a53)
% 0.63/0.75 [108]P6(a41)
% 0.63/0.75 [109]P6(a54)
% 0.63/0.75 [110]P6(a48)
% 0.63/0.75 [111]P2(a55)
% 0.63/0.75 [112]P2(a47)
% 0.63/0.75 [113]P2(a45)
% 0.63/0.75 [114]P2(a51)
% 0.63/0.75 [115]P2(a52)
% 0.63/0.75 [117]P3(a29,a41)
% 0.63/0.75 [118]P3(a44,a41)
% 0.63/0.75 [119]P3(a50,a41)
% 0.63/0.75 [120]P3(a49,a48)
% 0.63/0.75 [121]P3(a49,a1)
% 0.63/0.75 [122]P7(a54,a41)
% 0.63/0.76 [123]P7(a48,a54)
% 0.63/0.76 [124]P7(a1,a41)
% 0.63/0.76 [125]P7(a1,a48)
% 0.63/0.76 [126]P7(a46,a48)
% 0.63/0.76 [127]P7(a46,a1)
% 0.63/0.76 [139]~E(a29,a44)
% 0.63/0.76 [140]~E(a37,a1)
% 0.63/0.76 [93]E(f2(a1),a49)
% 0.63/0.76 [94]E(f43(a50),a44)
% 0.63/0.76 [95]E(f3(a46),a50)
% 0.63/0.76 [96]E(f30(a29),a37)
% 0.63/0.76 [97]E(f39(a47),a41)
% 0.63/0.76 [98]E(f39(a45),a41)
% 0.63/0.76 [99]E(f39(a51),a41)
% 0.63/0.76 [100]E(f39(a52),a41)
% 0.63/0.76 [116]E(f31(a47,a29),a54)
% 0.63/0.76 [128]E(f38(a54,a44),f39(a55))
% 0.63/0.76 [130]P3(a1,f39(a55))
% 0.63/0.76 [131]P3(f40(a52),a53)
% 0.63/0.76 [132]P3(a1,f38(a48,a44))
% 0.63/0.76 [133]P3(a46,f38(a48,a50))
% 0.63/0.76 [129]E(f35(a1,f2(a1)),a46)
% 0.63/0.76 [134]P6(f32(a52,f40(a52)))
% 0.63/0.76 [136]P7(f34(a55,f39(a55)),a53)
% 0.63/0.76 [137]P7(f34(a52,f39(a52)),a53)
% 0.63/0.76 [135]E(f34(a51,f32(a52,f40(a52))),a48)
% 0.63/0.76 [141]P1(x1411)+~E(x1411,a37)
% 0.63/0.76 [148]~P1(x1481)+P7(x1481,x1481)
% 0.63/0.76 [156]~P3(x1561,a41)+P9(a29,x1561)
% 0.63/0.76 [162]P9(x1621,x1621)+~P3(x1621,a41)
% 0.63/0.76 [145]~P2(x1451)+P1(f39(x1451))
% 0.63/0.76 [146]~P1(x1461)+P4(f3(x1461))
% 0.63/0.76 [150]~P3(x1501,a41)+~E(f43(x1501),a29)
% 0.63/0.76 [151]~P3(x1511,a41)+~E(f43(x1511),x1511)
% 0.63/0.76 [153]~P3(x1531,a41)+P5(f30(x1531))
% 0.63/0.76 [154]~P3(x1541,a41)+P6(f15(x1541))
% 0.63/0.76 [163]~P3(x1631,a41)+P3(f43(x1631),a41)
% 0.63/0.76 [164]~P3(x1641,a41)+P3(f16(x1641),a53)
% 0.63/0.76 [165]~P3(x1651,a41)+P3(f20(x1651),a53)
% 0.63/0.76 [166]~P3(x1661,a48)+P3(f21(x1661),a41)
% 0.63/0.76 [168]~P3(x1681,a41)+P9(x1681,f43(x1681))
% 0.63/0.76 [169]~P3(x1691,a41)+P8(x1691,f43(x1691))
% 0.63/0.76 [178]~P3(x1781,a41)+P6(f31(a47,x1781))
% 0.63/0.76 [179]~P3(x1791,a41)+P2(f31(a45,x1791))
% 0.63/0.76 [180]~P3(x1801,a41)+~P9(f43(x1801),a29)
% 0.63/0.76 [188]~P3(x1881,a41)+P7(f31(a47,x1881),a41)
% 0.63/0.76 [155]~P3(x1551,a41)+E(f3(f30(x1551)),x1551)
% 0.63/0.76 [167]~P3(x1671,a48)+E(f31(a51,f21(x1671)),x1671)
% 0.63/0.76 [190]~P3(x1901,a41)+E(f2(f31(a47,x1901)),f31(a51,x1901))
% 0.63/0.76 [208]~P3(x2081,a48)+P3(f21(x2081),f32(a52,f40(a52)))
% 0.63/0.76 [226]~P3(x2261,f32(a52,f40(a52)))+~E(f31(a51,x2261),a49)
% 0.63/0.76 [264]~P3(x2641,a41)+P7(f34(f31(a45,x2641),f39(f31(a45,x2641))),a53)
% 0.63/0.76 [266]~P3(x2661,a41)+P7(f15(x2661),f35(f31(a47,x2661),f2(f31(a47,x2661))))
% 0.63/0.76 [268]~P3(x2681,a41)+E(f38(f35(f31(a47,x2681),f2(f31(a47,x2681))),a50),f39(f31(a45,x2681)))
% 0.63/0.76 [149]~P3(x1492,x1491)+~E(x1491,a37)
% 0.63/0.76 [144]~P1(x1441)+~P6(x1441)+~E(x1441,a37)
% 0.63/0.76 [147]~P5(x1471)+~P6(x1471)+~P1(x1471)
% 0.63/0.76 [142]~P1(x1421)+~E(x1421,a37)+E(f3(x1421),a29)
% 0.63/0.76 [143]~P1(x1431)+E(x1431,a37)+~E(f3(x1431),a29)
% 0.63/0.76 [152]~P1(x1521)+P3(f4(x1521),x1521)+E(x1521,a37)
% 0.63/0.76 [159]~P1(x1591)+~P5(x1591)+P3(f3(x1591),a41)
% 0.63/0.76 [170]~P3(x1701,a41)+E(x1701,a29)+P3(f19(x1701),a41)
% 0.63/0.76 [171]~P1(x1711)+P5(x1711)+~P3(f3(x1711),a41)
% 0.63/0.76 [177]~P5(x1771)+~P7(x1771,a41)+P3(f5(x1771),a41)
% 0.63/0.76 [157]~P3(x1571,a41)+E(x1571,a29)+E(f43(f19(x1571)),x1571)
% 0.63/0.76 [191]~P5(x1911)+~P7(x1911,a41)+P7(x1911,f30(f5(x1911)))
% 0.63/0.76 [160]~P7(x1601,x1602)+P1(x1601)+~P1(x1602)
% 0.63/0.76 [161]~P3(x1611,x1612)+P4(x1611)+~P1(x1612)
% 0.63/0.76 [158]P1(x1581)+~P3(x1582,a41)+~E(x1581,f30(x1582))
% 0.63/0.76 [192]~P4(x1922)+~P2(x1921)+P7(f32(x1921,x1922),f39(x1921))
% 0.63/0.76 [209]~P2(x2091)+~P3(x2092,f39(x2091))+P4(f31(x2091,x2092))
% 0.63/0.76 [211]~P1(x2111)+~P3(x2112,x2111)+E(f36(f35(x2111,x2112),x2112),x2111)
% 0.63/0.76 [248]~P2(x2481)+~P3(x2482,f39(x2481))+P3(f31(x2481,x2482),f34(x2481,f39(x2481)))
% 0.63/0.76 [238]~P2(x2381)+~P6(f39(x2381))+P4(f40(x2381))+~P5(f34(x2381,f39(x2381)))
% 0.63/0.76 [257]~P2(x2571)+~P6(f39(x2571))+~P5(f34(x2571,f39(x2571)))+P6(f32(x2571,f40(x2571)))
% 0.63/0.76 [261]~P3(x2611,a41)+~P7(f31(a47,x2611),a41)+~P6(f31(a47,x2611))+P6(f31(a47,f43(x2611)))
% 0.63/0.76 [285]~P3(x2851,a41)+~P7(f31(a47,x2851),a41)+~P6(f31(a47,x2851))+P7(f31(a47,f43(x2851)),f35(f31(a47,x2851),f2(f31(a47,x2851))))
% 0.63/0.76 [172]~P5(x1722)+~P7(x1721,x1722)+P5(x1721)+~P1(x1722)
% 0.63/0.76 [176]P3(x1762,x1761)+~E(x1762,f2(x1761))+~P7(x1761,a41)+E(x1761,a37)
% 0.63/0.76 [182]~P1(x1821)+~P4(x1822)+~P5(x1821)+P5(f36(x1821,x1822))
% 0.63/0.76 [183]~P1(x1831)+~P4(x1832)+~P5(x1831)+P5(f35(x1831,x1832))
% 0.63/0.76 [184]~P1(x1841)+~P4(x1842)+~P6(x1841)+P6(f36(x1841,x1842))
% 0.63/0.76 [185]~P1(x1851)+~P4(x1852)+~P6(x1851)+P6(f35(x1851,x1852))
% 0.63/0.76 [186]~P1(x1861)+P5(x1861)+~P3(x1862,a41)+~E(f38(x1861,x1862),a37)
% 0.63/0.76 [189]E(x1891,x1892)+~E(f43(x1891),f43(x1892))+~P3(x1892,a41)+~P3(x1891,a41)
% 0.63/0.76 [195]~P1(x1952)+~P5(x1952)+~P7(x1951,x1952)+P9(f3(x1951),f3(x1952))
% 0.63/0.76 [198]~P1(x1981)+~P5(x1981)+~P3(x1982,a41)+P5(f38(x1981,x1982))
% 0.63/0.76 [207]~P1(x2071)+~P1(x2072)+P7(x2071,x2072)+P3(f22(x2072,x2071),x2071)
% 0.63/0.76 [215]P9(x2151,x2152)+P9(f43(x2152),x2151)+~P3(x2152,a41)+~P3(x2151,a41)
% 0.63/0.76 [228]~P9(x2281,x2282)+~P3(x2282,a41)+~P3(x2281,a41)+P7(f30(x2281),f30(x2282))
% 0.63/0.76 [229]~P9(x2291,x2292)+~P3(x2292,a41)+~P3(x2291,a41)+P9(f43(x2291),f43(x2292))
% 0.63/0.76 [231]~P1(x2311)+~P1(x2312)+P7(x2311,x2312)+~P3(f22(x2312,x2311),x2312)
% 0.63/0.76 [233]P9(x2331,x2332)+~P3(x2332,a41)+~P3(x2331,a41)+~P7(f30(x2331),f30(x2332))
% 0.63/0.76 [234]P9(x2341,x2342)+~P3(x2342,a41)+~P3(x2341,a41)+~P9(f43(x2341),f43(x2342))
% 0.63/0.76 [252]~P9(x2522,x2521)+~P3(x2522,a41)+~P3(x2521,a41)+P7(f31(a47,x2521),f31(a47,x2522))
% 0.63/0.76 [210]P3(x2102,x2101)+~P1(x2101)+~P4(x2102)+E(f35(f36(x2101,x2102),x2102),x2101)
% 0.63/0.76 [218]~E(x2181,x2182)+~P3(x2182,a41)+~P3(x2181,a41)+P3(x2181,f30(f43(x2182)))
% 0.63/0.76 [240]~P3(x2402,a41)+~P3(x2401,a41)+~P3(x2401,f30(x2402))+P3(x2401,f30(f43(x2402)))
% 0.63/0.76 [256]E(x2561,x2562)+~P3(x2562,a41)+~P3(x2561,a41)+~E(f2(f31(a47,x2561)),f2(f31(a47,x2562)))
% 0.63/0.76 [259]~P1(x2592)+~P3(x2591,a41)+E(f31(f31(a45,x2591),x2592),f16(x2591))+~P3(x2592,f38(f15(x2591),a50))
% 0.63/0.76 [239]~P1(x2391)+~P5(x2391)+~P3(x2392,x2391)+E(f43(f3(f35(x2391,x2392))),f3(x2391))
% 0.63/0.76 [269]~P1(x2692)+~P3(x2691,a41)+E(f31(f31(a45,x2691),x2692),f20(x2691))+~P3(x2692,f38(f31(a47,f43(x2691)),a50))
% 0.63/0.76 [271]~P1(x2712)+~P3(x2711,a41)+E(f31(f31(a45,x2711),x2712),f31(a52,x2711))+~P3(x2712,f38(f31(a47,f43(x2711)),a50))
% 0.63/0.76 [299]~P1(x2991)+~P3(x2992,a41)+P3(f36(x2991,f2(f31(a47,x2992))),f38(a54,a44))+~P3(x2991,f38(f35(f31(a47,x2992),f2(f31(a47,x2992))),a50))
% 0.63/0.76 [300]~P1(x3001)+~P3(x3002,a41)+~P3(x3001,f38(f35(f31(a47,x3002),f2(f31(a47,x3002))),a50))+E(f31(a55,f36(x3001,f2(f31(a47,x3002)))),f31(f31(a45,x3002),x3001))
% 0.63/0.76 [202]~P1(x2022)+~P7(x2023,x2022)+P3(x2021,x2022)+~P3(x2021,x2023)
% 0.63/0.76 [173]~P1(x1732)+~P4(x1733)+P1(x1731)+~E(x1731,f36(x1732,x1733))
% 0.63/0.76 [174]~P1(x1742)+~P4(x1743)+P1(x1741)+~E(x1741,f35(x1742,x1743))
% 0.63/0.76 [175]~P4(x1753)+~P2(x1752)+P1(x1751)+~E(x1751,f32(x1752,x1753))
% 0.63/0.76 [187]~P1(x1872)+P1(x1871)+~P3(x1873,a41)+~E(x1871,f38(x1872,x1873))
% 0.63/0.76 [196]~P3(x1961,x1962)+~P3(x1963,a41)+P3(x1961,a41)+~E(x1962,f30(x1963))
% 0.63/0.76 [204]~P2(x2042)+P1(x2041)+~P7(x2043,f39(x2042))+~E(x2041,f34(x2042,x2043))
% 0.63/0.76 [205]~P2(x2052)+P2(x2051)+~P7(x2053,f39(x2052))+~E(x2051,f33(x2052,x2053))
% 0.63/0.76 [206]~P2(x2063)+~P7(x2062,f39(x2063))+E(f39(x2061),x2062)+~E(x2061,f33(x2063,x2062))
% 0.63/0.76 [212]~P3(x2121,x2123)+~P3(x2122,a41)+P9(f43(x2121),x2122)+~E(x2123,f30(x2122))
% 0.63/0.76 [193]~P1(x1932)+~P1(x1931)+~P7(x1932,x1931)+~P7(x1931,x1932)+E(x1931,x1932)
% 0.63/0.76 [225]~P9(x2252,x2251)+~P9(x2251,x2252)+E(x2251,x2252)+~P3(x2252,a41)+~P3(x2251,a41)
% 0.63/0.76 [181]~P5(x1811)+P3(x1812,x1811)+~E(x1812,f42(x1811))+~P7(x1811,a41)+E(x1811,a37)
% 0.63/0.76 [201]~P1(x2012)+~P6(x2012)+~P3(x2011,a41)+E(x2011,a29)+P6(f38(x2012,x2011))
% 0.63/0.76 [230]~P3(x2302,x2301)+P3(f25(x2301,x2302),x2301)+~P7(x2301,a41)+E(x2301,a37)+E(x2302,f2(x2301))
% 0.63/0.76 [241]~P1(x2411)+~P5(x2411)+~P3(x2412,a41)+~P9(x2412,f3(x2411))+P7(f26(x2411,x2412),x2411)
% 0.63/0.76 [243]~P1(x2431)+P3(f28(x2432,x2431),x2431)+~P3(x2432,a41)+E(x2431,f30(x2432))+P3(f28(x2432,x2431),a41)
% 0.63/0.76 [244]~P3(x2442,x2441)+~P7(x2441,a41)+~P9(x2442,f25(x2441,x2442))+E(x2441,a37)+E(x2442,f2(x2441))
% 0.63/0.76 [251]~P6(x2512)+~P2(x2511)+~E(f6(x2511,x2512),f7(x2511,x2512))+~P7(x2512,f39(x2511))+P6(f34(x2511,x2512))
% 0.63/0.76 [253]~P6(x2532)+~P2(x2531)+P3(f7(x2531,x2532),f39(x2531))+~P7(x2532,f39(x2531))+P6(f34(x2531,x2532))
% 0.63/0.76 [254]~P6(x2542)+~P2(x2541)+P3(f6(x2541,x2542),f39(x2541))+~P7(x2542,f39(x2541))+P6(f34(x2541,x2542))
% 0.63/0.76 [217]P3(x2172,x2171)+~P1(x2171)+~P4(x2172)+~P5(x2171)+E(f3(f36(x2171,x2172)),f43(f3(x2171)))
% 0.63/0.76 [237]~P1(x2371)+~P5(x2371)+~P3(x2372,a41)+~P9(x2372,f3(x2371))+E(f3(f26(x2371,x2372)),x2372)
% 0.63/0.76 [246]E(x2461,x2462)+P3(x2461,f30(x2462))+~P3(x2462,a41)+~P3(x2461,a41)+~P3(x2461,f30(f43(x2462)))
% 0.63/0.76 [258]~P1(x2581)+P3(f28(x2582,x2581),x2581)+~P3(x2582,a41)+E(x2581,f30(x2582))+P9(f43(f28(x2582,x2581)),x2582)
% 0.63/0.76 [260]~P6(x2602)+~P2(x2601)+~P7(x2602,f39(x2601))+P6(f34(x2601,x2602))+E(f31(x2601,f6(x2601,x2602)),f31(x2601,f7(x2601,x2602)))
% 0.63/0.76 [203]~P3(x2033,x2031)+P9(x2032,x2033)+~E(x2032,f2(x2031))+~P7(x2031,a41)+E(x2031,a37)
% 0.63/0.76 [232]P3(x2321,x2322)+~P3(x2323,a41)+~P3(x2321,a41)+~P9(f43(x2321),x2323)+~E(x2322,f30(x2323))
% 0.63/0.76 [265]~P1(x2651)+~P5(x2653)+~P3(x2652,a41)+~P7(x2653,f38(x2651,x2652))+P5(f9(x2651,x2652,x2653))
% 0.63/0.76 [267]~P1(x2671)+~P5(x2673)+~P3(x2672,a41)+~P7(x2673,f38(x2671,x2672))+P7(f9(x2671,x2672,x2673),x2671)
% 0.63/0.76 [286]~P1(x2862)+~P5(x2861)+~P3(x2863,a41)+~P7(x2861,f38(x2862,x2863))+P7(x2861,f38(f9(x2862,x2863,x2861),x2863))
% 0.63/0.76 [197]~P1(x1974)+~P4(x1972)+~P3(x1971,x1973)+~E(x1971,x1972)+~E(x1973,f35(x1974,x1972))
% 0.63/0.76 [199]~P1(x1993)+~P4(x1994)+~P3(x1991,x1992)+P4(x1991)+~E(x1992,f36(x1993,x1994))
% 0.63/0.76 [200]~P1(x2003)+~P4(x2004)+~P3(x2001,x2002)+P4(x2001)+~E(x2002,f35(x2003,x2004))
% 0.63/0.76 [214]~P1(x2142)+~P4(x2144)+~P3(x2141,x2143)+P3(x2141,x2142)+~E(x2143,f35(x2142,x2144))
% 0.63/0.76 [216]~P4(x2163)+~P2(x2161)+~P3(x2162,x2164)+E(f31(x2161,x2162),x2163)+~E(x2164,f32(x2161,x2163))
% 0.63/0.76 [220]~P1(x2204)+~P3(x2201,x2203)+~P3(x2202,a41)+E(f3(x2201),x2202)+~E(x2203,f38(x2204,x2202))
% 0.63/0.76 [222]~P4(x2224)+~P2(x2222)+~P3(x2221,x2223)+P3(x2221,f39(x2222))+~E(x2223,f32(x2222,x2224))
% 0.63/0.76 [227]~P1(x2272)+~P3(x2271,x2273)+P7(x2271,x2272)+~P3(x2274,a41)+~E(x2273,f38(x2272,x2274))
% 0.63/0.76 [245]~P2(x2453)+~P3(x2452,x2454)+~P7(x2454,f39(x2453))+E(f31(x2451,x2452),f31(x2453,x2452))+~E(x2451,f33(x2453,x2454))
% 0.63/0.76 [292]~P2(x2921)+~P3(x2924,x2923)+~E(x2923,f34(x2921,x2922))+~P7(x2922,f39(x2921))+P3(f13(x2921,x2922,x2923,x2924),x2922)
% 0.63/0.76 [293]~P2(x2931)+~P3(x2934,x2933)+~E(x2933,f34(x2931,x2932))+~P7(x2932,f39(x2931))+E(f31(x2931,f13(x2931,x2932,x2933,x2934)),x2934)
% 0.63/0.76 [236]~P5(x2361)+~P3(x2362,x2361)+P3(f27(x2361,x2362),x2361)+~P7(x2361,a41)+E(x2361,a37)+E(x2362,f42(x2361))
% 0.63/0.76 [249]~P5(x2491)+~P3(x2492,x2491)+~P7(x2491,a41)+~P9(f27(x2491,x2492),x2492)+E(x2491,a37)+E(x2492,f42(x2491))
% 0.63/0.76 [274]~P1(x2741)+~P3(x2742,a41)+~P3(f28(x2742,x2741),x2741)+E(x2741,f30(x2742))+~P3(f28(x2742,x2741),a41)+~P9(f43(f28(x2742,x2741)),x2742)
% 0.63/0.76 [221]~P1(x2212)+~P1(x2211)+~P7(x2213,x2212)+~P7(x2211,x2213)+P7(x2211,x2212)+~P1(x2213)
% 0.63/0.76 [250]~P9(x2501,x2503)+P9(x2501,x2502)+~P9(x2503,x2502)+~P3(x2502,a41)+~P3(x2503,a41)+~P3(x2501,a41)
% 0.63/0.76 [213]~P5(x2131)+~P3(x2132,x2131)+P9(x2132,x2133)+~E(x2133,f42(x2131))+~P7(x2131,a41)+E(x2131,a37)
% 0.63/0.76 [263]~P2(x2631)+~P2(x2632)+P3(f8(x2632,x2633,x2631),x2633)+~E(f39(x2631),x2633)+~P7(x2633,f39(x2632))+E(x2631,f33(x2632,x2633))
% 0.63/0.76 [270]~P1(x2701)+~P1(x2702)+~P4(x2703)+P3(f23(x2702,x2703,x2701),x2701)+~E(f23(x2702,x2703,x2701),x2703)+E(x2701,f35(x2702,x2703))
% 0.63/0.76 [272]~P1(x2721)+~P1(x2722)+~P4(x2723)+P3(f24(x2722,x2723,x2721),x2721)+E(x2721,f36(x2722,x2723))+P4(f24(x2722,x2723,x2721))
% 0.63/0.76 [273]~P1(x2731)+~P1(x2732)+~P4(x2733)+P3(f23(x2732,x2733,x2731),x2731)+E(x2731,f35(x2732,x2733))+P4(f23(x2732,x2733,x2731))
% 0.63/0.76 [275]~P1(x2751)+~P1(x2752)+~P4(x2753)+P3(f23(x2752,x2753,x2751),x2751)+P3(f23(x2752,x2753,x2751),x2752)+E(x2751,f35(x2752,x2753))
% 0.63/0.76 [278]~P1(x2781)+~P4(x2783)+~P2(x2782)+P3(f11(x2782,x2783,x2781),x2781)+P3(f11(x2782,x2783,x2781),f39(x2782))+E(x2781,f32(x2782,x2783))
% 0.63/0.76 [279]~P1(x2791)+~P1(x2792)+P3(f10(x2792,x2793,x2791),x2791)+P7(f10(x2792,x2793,x2791),x2792)+~P3(x2793,a41)+E(x2791,f38(x2792,x2793))
% 0.63/0.76 [282]~P1(x2821)+~P2(x2822)+P3(f12(x2822,x2823,x2821),x2821)+P3(f14(x2822,x2823,x2821),x2823)+~P7(x2823,f39(x2822))+E(x2821,f34(x2822,x2823))
% 0.63/0.76 [276]~P1(x2761)+~P4(x2763)+~P2(x2762)+P3(f11(x2762,x2763,x2761),x2761)+E(x2761,f32(x2762,x2763))+E(f31(x2762,f11(x2762,x2763,x2761)),x2763)
% 0.63/0.76 [277]~P1(x2771)+~P1(x2772)+P3(f10(x2772,x2773,x2771),x2771)+~P3(x2773,a41)+E(x2771,f38(x2772,x2773))+E(f3(f10(x2772,x2773,x2771)),x2773)
% 0.63/0.76 [287]~P1(x2871)+~P2(x2872)+P3(f12(x2872,x2873,x2871),x2871)+~P7(x2873,f39(x2872))+E(x2871,f34(x2872,x2873))+E(f31(x2872,f14(x2872,x2873,x2871)),f12(x2872,x2873,x2871))
% 0.63/0.76 [289]~P2(x2892)+~P2(x2891)+~E(f39(x2891),x2893)+~P7(x2893,f39(x2892))+E(x2891,f33(x2892,x2893))+~E(f31(x2891,f8(x2892,x2893,x2891)),f31(x2892,f8(x2892,x2893,x2891)))
% 0.63/0.76 [298]~P1(x2981)+~P6(x2983)+~P3(x2982,a41)+~P3(x2981,f38(x2983,a50))+~P7(x2983,f35(f31(a47,x2982),f2(f31(a47,x2982))))+P3(x2981,f38(f35(f31(a47,x2982),f2(f31(a47,x2982))),a50))
% 0.63/0.76 [194]~P1(x1944)+~P4(x1943)+~P4(x1941)+P3(x1941,x1942)+~E(x1941,x1943)+~E(x1942,f36(x1944,x1943))
% 0.63/0.76 [219]~P1(x2193)+~P4(x2192)+~P3(x2191,x2194)+E(x2191,x2192)+P3(x2191,x2193)+~E(x2194,f36(x2193,x2192))
% 0.63/0.76 [223]~P1(x2233)+~P4(x2234)+~P4(x2231)+~P3(x2231,x2233)+P3(x2231,x2232)+~E(x2232,f36(x2233,x2234))
% 0.63/0.76 [235]~P1(x2354)+~P7(x2351,x2354)+P3(x2351,x2352)+~P3(x2353,a41)+~E(x2352,f38(x2354,x2353))+~E(f3(x2351),x2353)
% 0.63/0.76 [242]~P4(x2424)+~P2(x2423)+P3(x2421,x2422)+~E(f31(x2423,x2421),x2424)+~P3(x2421,f39(x2423))+~E(x2422,f32(x2423,x2424))
% 0.63/0.76 [255]~P2(x2553)+~P3(x2555,x2554)+P3(x2551,x2552)+~P7(x2554,f39(x2553))+~E(x2552,f34(x2553,x2554))+~E(f31(x2553,x2555),x2551)
% 0.63/0.76 [247]E(f2(x2472),f2(x2471))+~P7(x2471,a41)+~P7(x2472,a41)+~P3(f2(x2471),x2472)+~P3(f2(x2472),x2471)+E(x2471,a37)+E(x2472,a37)
% 0.63/0.76 [262]~P1(x2623)+~P1(x2622)+P7(x2622,x2623)+~P3(x2621,a41)+~P7(f38(x2622,x2621),f38(x2623,x2621))+E(x2621,a29)+E(f38(x2622,x2621),a37)
% 0.63/0.76 [284]~P1(x2841)+~P1(x2842)+~P4(x2843)+E(f24(x2842,x2843,x2841),x2843)+P3(f24(x2842,x2843,x2841),x2841)+P3(f24(x2842,x2843,x2841),x2842)+E(x2841,f36(x2842,x2843))
% 0.63/0.76 [290]~P1(x2901)+~P1(x2902)+~P4(x2903)+~E(f24(x2902,x2903,x2901),x2903)+~P3(f24(x2902,x2903,x2901),x2901)+E(x2901,f36(x2902,x2903))+~P4(f24(x2902,x2903,x2901))
% 0.63/0.76 [291]~P1(x2911)+~P1(x2912)+~P4(x2913)+~P3(f24(x2912,x2913,x2911),x2911)+~P3(f24(x2912,x2913,x2911),x2912)+E(x2911,f36(x2912,x2913))+~P4(f24(x2912,x2913,x2911))
% 0.63/0.76 [294]~P1(x2941)+~P1(x2942)+~P3(x2943,a41)+~P3(f10(x2942,x2943,x2941),x2941)+~P7(f10(x2942,x2943,x2941),x2942)+E(x2941,f38(x2942,x2943))+~E(f3(f10(x2942,x2943,x2941)),x2943)
% 0.63/0.76 [295]~P1(x2951)+~P4(x2953)+~P2(x2952)+~P3(f11(x2952,x2953,x2951),x2951)+~P3(f11(x2952,x2953,x2951),f39(x2952))+E(x2951,f32(x2952,x2953))+~E(f31(x2952,f11(x2952,x2953,x2951)),x2953)
% 0.63/0.76 [224]~P1(x2244)+~P4(x2242)+~P4(x2241)+~P3(x2241,x2244)+E(x2241,x2242)+P3(x2241,x2243)+~E(x2243,f35(x2244,x2242))
% 0.63/0.76 [288]~P1(x2881)+~P2(x2882)+~P3(x2884,x2883)+~P7(x2883,f39(x2882))+~P3(f12(x2882,x2883,x2881),x2881)+~E(f31(x2882,x2884),f12(x2882,x2883,x2881))+E(x2881,f34(x2882,x2883))
% 0.63/0.76 [296]~P1(x2961)+~P1(x2962)+~P4(x2963)+E(f23(x2962,x2963,x2961),x2963)+~P3(f23(x2962,x2963,x2961),x2961)+~P3(f23(x2962,x2963,x2961),x2962)+E(x2961,f35(x2962,x2963))+~P4(f23(x2962,x2963,x2961))
% 0.63/0.76 [280]~P6(x2802)+~P2(x2803)+~E(f39(x2803),f38(x2802,x2801))+~P3(x2801,a41)+~P7(x2802,a41)+~P8(x2801,a44)+P6(f17(x2801,x2802,x2803))+~P7(f34(x2803,f39(x2803)),a53)
% 0.63/0.76 [281]~P6(x2812)+~P2(x2813)+~E(f39(x2813),f38(x2812,x2811))+~P3(x2811,a41)+~P7(x2812,a41)+~P8(x2811,a44)+P3(f18(x2811,x2812,x2813),a53)+~P7(f34(x2813,f39(x2813)),a53)
% 0.63/0.76 [283]~P6(x2832)+~P2(x2833)+~E(f39(x2833),f38(x2832,x2831))+~P3(x2831,a41)+~P7(x2832,a41)+~P8(x2831,a44)+P7(f17(x2831,x2832,x2833),x2832)+~P7(f34(x2833,f39(x2833)),a53)
% 0.63/0.76 [297]~P6(x2974)+~P2(x2971)+~E(f39(x2971),f38(x2974,x2973))+~P3(x2973,a41)+~P7(x2974,a41)+~P8(x2973,a44)+E(f31(x2971,x2972),f18(x2973,x2974,x2971))+~P3(x2972,f38(f17(x2973,x2974,x2971),x2973))+~P7(f34(x2971,f39(x2971)),a53)
% 0.63/0.76 %EqnAxiom
% 0.63/0.76 [1]E(x11,x11)
% 0.63/0.76 [2]E(x22,x21)+~E(x21,x22)
% 0.63/0.76 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.63/0.76 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.63/0.76 [5]~E(x51,x52)+E(f43(x51),f43(x52))
% 0.63/0.76 [6]~E(x61,x62)+E(f3(x61),f3(x62))
% 0.63/0.76 [7]~E(x71,x72)+E(f30(x71),f30(x72))
% 0.63/0.76 [8]~E(x81,x82)+E(f39(x81),f39(x82))
% 0.63/0.76 [9]~E(x91,x92)+E(f34(x91,x93),f34(x92,x93))
% 0.63/0.76 [10]~E(x101,x102)+E(f34(x103,x101),f34(x103,x102))
% 0.63/0.76 [11]~E(x111,x112)+E(f38(x111,x113),f38(x112,x113))
% 0.63/0.76 [12]~E(x121,x122)+E(f38(x123,x121),f38(x123,x122))
% 0.63/0.76 [13]~E(x131,x132)+E(f35(x131,x133),f35(x132,x133))
% 0.63/0.76 [14]~E(x141,x142)+E(f35(x143,x141),f35(x143,x142))
% 0.63/0.76 [15]~E(x151,x152)+E(f31(x151,x153),f31(x152,x153))
% 0.63/0.76 [16]~E(x161,x162)+E(f31(x163,x161),f31(x163,x162))
% 0.63/0.76 [17]~E(x171,x172)+E(f10(x171,x173,x174),f10(x172,x173,x174))
% 0.63/0.76 [18]~E(x181,x182)+E(f10(x183,x181,x184),f10(x183,x182,x184))
% 0.63/0.76 [19]~E(x191,x192)+E(f10(x193,x194,x191),f10(x193,x194,x192))
% 0.63/0.76 [20]~E(x201,x202)+E(f9(x201,x203,x204),f9(x202,x203,x204))
% 0.63/0.76 [21]~E(x211,x212)+E(f9(x213,x211,x214),f9(x213,x212,x214))
% 0.63/0.76 [22]~E(x221,x222)+E(f9(x223,x224,x221),f9(x223,x224,x222))
% 0.63/0.76 [23]~E(x231,x232)+E(f11(x231,x233,x234),f11(x232,x233,x234))
% 0.63/0.76 [24]~E(x241,x242)+E(f11(x243,x241,x244),f11(x243,x242,x244))
% 0.63/0.76 [25]~E(x251,x252)+E(f11(x253,x254,x251),f11(x253,x254,x252))
% 0.63/0.76 [26]~E(x261,x262)+E(f33(x261,x263),f33(x262,x263))
% 0.63/0.76 [27]~E(x271,x272)+E(f33(x273,x271),f33(x273,x272))
% 0.63/0.76 [28]~E(x281,x282)+E(f24(x281,x283,x284),f24(x282,x283,x284))
% 0.63/0.76 [29]~E(x291,x292)+E(f24(x293,x291,x294),f24(x293,x292,x294))
% 0.63/0.76 [30]~E(x301,x302)+E(f24(x303,x304,x301),f24(x303,x304,x302))
% 0.63/0.76 [31]~E(x311,x312)+E(f40(x311),f40(x312))
% 0.63/0.76 [32]~E(x321,x322)+E(f20(x321),f20(x322))
% 0.63/0.76 [33]~E(x331,x332)+E(f32(x331,x333),f32(x332,x333))
% 0.63/0.76 [34]~E(x341,x342)+E(f32(x343,x341),f32(x343,x342))
% 0.63/0.76 [35]~E(x351,x352)+E(f36(x351,x353),f36(x352,x353))
% 0.63/0.76 [36]~E(x361,x362)+E(f36(x363,x361),f36(x363,x362))
% 0.63/0.76 [37]~E(x371,x372)+E(f23(x371,x373,x374),f23(x372,x373,x374))
% 0.63/0.76 [38]~E(x381,x382)+E(f23(x383,x381,x384),f23(x383,x382,x384))
% 0.63/0.76 [39]~E(x391,x392)+E(f23(x393,x394,x391),f23(x393,x394,x392))
% 0.63/0.76 [40]~E(x401,x402)+E(f8(x401,x403,x404),f8(x402,x403,x404))
% 0.63/0.76 [41]~E(x411,x412)+E(f8(x413,x411,x414),f8(x413,x412,x414))
% 0.63/0.76 [42]~E(x421,x422)+E(f8(x423,x424,x421),f8(x423,x424,x422))
% 0.63/0.76 [43]~E(x431,x432)+E(f17(x431,x433,x434),f17(x432,x433,x434))
% 0.63/0.76 [44]~E(x441,x442)+E(f17(x443,x441,x444),f17(x443,x442,x444))
% 0.63/0.76 [45]~E(x451,x452)+E(f17(x453,x454,x451),f17(x453,x454,x452))
% 0.63/0.76 [46]~E(x461,x462)+E(f28(x461,x463),f28(x462,x463))
% 0.63/0.76 [47]~E(x471,x472)+E(f28(x473,x471),f28(x473,x472))
% 0.63/0.76 [48]~E(x481,x482)+E(f15(x481),f15(x482))
% 0.63/0.76 [49]~E(x491,x492)+E(f26(x491,x493),f26(x492,x493))
% 0.63/0.76 [50]~E(x501,x502)+E(f26(x503,x501),f26(x503,x502))
% 0.63/0.76 [51]~E(x511,x512)+E(f6(x511,x513),f6(x512,x513))
% 0.63/0.76 [52]~E(x521,x522)+E(f6(x523,x521),f6(x523,x522))
% 0.63/0.76 [53]~E(x531,x532)+E(f12(x531,x533,x534),f12(x532,x533,x534))
% 0.63/0.76 [54]~E(x541,x542)+E(f12(x543,x541,x544),f12(x543,x542,x544))
% 0.63/0.76 [55]~E(x551,x552)+E(f12(x553,x554,x551),f12(x553,x554,x552))
% 0.63/0.76 [56]~E(x561,x562)+E(f42(x561),f42(x562))
% 0.63/0.76 [57]~E(x571,x572)+E(f27(x571,x573),f27(x572,x573))
% 0.63/0.76 [58]~E(x581,x582)+E(f27(x583,x581),f27(x583,x582))
% 0.63/0.76 [59]~E(x591,x592)+E(f25(x591,x593),f25(x592,x593))
% 0.63/0.76 [60]~E(x601,x602)+E(f25(x603,x601),f25(x603,x602))
% 0.63/0.76 [61]~E(x611,x612)+E(f5(x611),f5(x612))
% 0.63/0.76 [62]~E(x621,x622)+E(f16(x621),f16(x622))
% 0.63/0.76 [63]~E(x631,x632)+E(f18(x631,x633,x634),f18(x632,x633,x634))
% 0.63/0.76 [64]~E(x641,x642)+E(f18(x643,x641,x644),f18(x643,x642,x644))
% 0.63/0.76 [65]~E(x651,x652)+E(f18(x653,x654,x651),f18(x653,x654,x652))
% 0.63/0.76 [66]~E(x661,x662)+E(f4(x661),f4(x662))
% 0.63/0.76 [67]~E(x671,x672)+E(f14(x671,x673,x674),f14(x672,x673,x674))
% 0.63/0.76 [68]~E(x681,x682)+E(f14(x683,x681,x684),f14(x683,x682,x684))
% 0.63/0.76 [69]~E(x691,x692)+E(f14(x693,x694,x691),f14(x693,x694,x692))
% 0.63/0.76 [70]~E(x701,x702)+E(f7(x701,x703),f7(x702,x703))
% 0.63/0.76 [71]~E(x711,x712)+E(f7(x713,x711),f7(x713,x712))
% 0.63/0.76 [72]~E(x721,x722)+E(f13(x721,x723,x724,x725),f13(x722,x723,x724,x725))
% 0.63/0.76 [73]~E(x731,x732)+E(f13(x733,x731,x734,x735),f13(x733,x732,x734,x735))
% 0.63/0.76 [74]~E(x741,x742)+E(f13(x743,x744,x741,x745),f13(x743,x744,x742,x745))
% 0.63/0.76 [75]~E(x751,x752)+E(f13(x753,x754,x755,x751),f13(x753,x754,x755,x752))
% 0.63/0.76 [76]~E(x761,x762)+E(f21(x761),f21(x762))
% 0.63/0.76 [77]~E(x771,x772)+E(f19(x771),f19(x772))
% 0.63/0.76 [78]~E(x781,x782)+E(f22(x781,x783),f22(x782,x783))
% 0.63/0.76 [79]~E(x791,x792)+E(f22(x793,x791),f22(x793,x792))
% 0.63/0.76 [80]~P1(x801)+P1(x802)+~E(x801,x802)
% 0.63/0.76 [81]P3(x812,x813)+~E(x811,x812)+~P3(x811,x813)
% 0.63/0.76 [82]P3(x823,x822)+~E(x821,x822)+~P3(x823,x821)
% 0.63/0.76 [83]~P6(x831)+P6(x832)+~E(x831,x832)
% 0.63/0.76 [84]P7(x842,x843)+~E(x841,x842)+~P7(x841,x843)
% 0.63/0.76 [85]P7(x853,x852)+~E(x851,x852)+~P7(x853,x851)
% 0.63/0.76 [86]~P2(x861)+P2(x862)+~E(x861,x862)
% 0.63/0.76 [87]~P5(x871)+P5(x872)+~E(x871,x872)
% 0.63/0.76 [88]~P4(x881)+P4(x882)+~E(x881,x882)
% 0.63/0.76 [89]P9(x892,x893)+~E(x891,x892)+~P9(x891,x893)
% 0.63/0.76 [90]P9(x903,x902)+~E(x901,x902)+~P9(x903,x901)
% 0.63/0.76 [91]P8(x912,x913)+~E(x911,x912)+~P8(x911,x913)
% 0.63/0.76 [92]P8(x923,x922)+~E(x921,x922)+~P8(x923,x921)
% 0.63/0.76
% 0.63/0.76 %-------------------------------------------
% 0.63/0.76 cnf(364,plain,
% 0.63/0.76 ($false),
% 0.63/0.76 inference(scs_inference,[],[93,101,108,111,117,118,120,121,124,139,94,96,2,162,149,141,82,81,80,3,147,144,202,229,228,156,148,208,188,180,179,178,169,168,167,166,165,164,163,155,154,153,151,150,146,145,226]),
% 0.63/0.76 ['proof']).
% 0.63/0.76 % SZS output end Proof
% 0.63/0.76 % Total time :0.050000s
%------------------------------------------------------------------------------